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 3 5 6 6 6 6 6 6 6 6 6 5 5 5 4 5 6 6 6 6 6 6 6 6 5 4 3 2 2 2 4 6 9 10 11 11 10 10 10 10 8 7 6 7 8 8 7 7 8 9 9 8 7 7 7 7 7 7 6 5 6 6 6 7 7 7 8 8 8 8 8 8 8 8 9 9 10 11 12 12 11 10 10 10 10 10 10 10 9 8 8 8 9 8 8 7 8 8 9 9 8 8 7 7 7 8 8 8 9 10 10 10 9 9 8 8 9 9 8 8 8 9 10 10 10 10 11 11 11 9 8 8 8 8 7 6 5 6 7 8 9 10 10 8 7 6 6 6 6 5 5 5 5 6 6 7 8 8 8 8 8 8 8 8 9 9 8 7 7 8 8 8 9 10 11 11 11 10 10 10 10 10 9 9 9 nan
nan 6 7 7 7 7 7 7 7 7 7 6 6 5 4 3 4 5 5 6 6 7 7 7 6 5 4 4 3 2 2 2 4 6 8 10 10 10 10 10 10 8 7 6 6 7 9 9 9 9 9 10 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 8 8 9 10 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 8 8 9 10 10 10 9 9 8 8 8 8 9 10 10 10 10 9 8 8 8 8 8 8 8 9 9 10 10 11 11 12 11 10 9 8 8 9 8 8 7 7 7 8 9 10 11 11 9 8 7 7 7 6 5 5 5 5 5 5 6 6 7 7 7 7 7 8 8 10 11 11 9 8 8 8 8 9 9 9 9 9 8 7 7 8 9 9 9 9 nan
nan 7 8 8 7 7 7 7 7 7 6 6 6 5 4 4 5 5 6 6 7 7 7 7 6 6 5 5 5 5 4 3 3 5 7 10 11 10 10 11 10 8 6 5 5 7 9 10 9 9 9 9 10 10 11 11 11 10 10 9 9 8 8 8 8 8 8 8 7 7 6 6 7 7 8 9 9 9 8 8 8 8 9 10 10 10 9 9 8 8 8 8 9 9 10 10 9 9 10 10 10 10 10 10 9 8 7 7 8 10 11 11 10 9 8 8 8 8 8 8 9 9 9 9 10 10 11 11 11 10 9 8 8 8 8 8 8 8 8 9 10 11 12 11 10 9 8 8 7 7 6 5 5 5 5 6 6 6 6 6 6 6 6 6 7 9 10 11 10 9 8 8 8 8 8 8 9 8 6 6 7 9 9 9 9 9 nan
nan 8 8 7 7 6 6 7 7 6 6 6 6 5 5 5 5 6 7 7 8 7 7 7 7 7 7 7 7 7 6 5 4 4 8 11 12 11 11 11 11 8 5 4 5 7 9 9 8 8 9 9 9 10 11 12 12 12 12 11 11 10 9 8 8 8 8 8 8 8 7 8 8 9 10 10 9 9 8 8 7 7 8 8 8 8 9 8 8 7 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 8 7 7 8 9 10 11 11 9 8 7 7 7 7 8 8 9 9 9 9 10 11 12 12 11 10 9 8 8 8 7 7 8 8 9 10 11 11 11 10 9 8 8 7 7 7 7 6 6 6 7 8 7 6 6 6 6 6 6 7 8 9 10 10 9 9 9 8 8 8 9 9 8 8 8 8 9 9 7 7 7 nan
nan 7 7 6 6 5 6 6 6 5 5 5 5 5 5 6 6 7 7 8 8 8 7 7 7 7 7 7 7 7 7 6 3 3 9 13 13 12 11 11 11 8 5 5 5 6 7 8 8 8 9 9 10 10 11 12 13 13 13 13 12 12 11 10 9 8 8 8 8 9 9 9 10 10 11 10 9 9 9 8 8 7 7 7 7 8 9 9 8 8 8 8 9 9 9 9 9 8 9 9 9 10 10 10 10 9 8 8 7 8 9 11 11 10 9 7 6 6 6 7 8 8 9 9 9 10 10 12 12 12 11 10 9 8 7 7 7 7 8 9 10 11 11 11 10 9 8 7 7 8 8 8 7 7 7 8 8 8 7 6 6 7 7 8 8 9 9 10 9 9 9 9 9 9 9 9 9 9 9 8 7 7 6 5 6 6 nan
nan 7 6 6 5 5 6 6 5 4 4 4 5 5 6 6 7 7 8 8 9 8 8 8 7 7 6 6 6 6 7 6 3 3 9 13 14 13 11 11 11 8 7 6 6 5 6 7 8 9 9 10 11 11 12 14 14 14 14 13 13 13 12 10 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 7 7 7 7 7 7 8 9 9 9 9 8 8 9 10 10 10 9 8 8 9 9 9 10 10 10 9 9 8 8 8 9 11 12 12 10 9 8 7 6 7 7 8 8 9 9 9 10 11 12 12 11 10 9 8 8 7 7 7 8 8 9 10 11 11 10 9 8 7 7 8 8 8 8 8 8 8 8 7 6 6 6 6 8 9 10 10 10 9 9 9 9 10 10 10 10 9 9 8 8 8 7 6 5 5 6 6 nan
nan 6 6 5 5 5 5 5 4 4 4 4 5 5 5 6 6 6 7 8 9 9 8 8 7 7 6 5 3 4 5 5 5 6 10 13 14 13 12 11 10 8 7 6 5 5 5 7 9 10 9 10 11 12 12 13 13 13 12 12 12 12 12 11 10 9 9 9 10 10 10 10 9 9 8 8 7 6 6 5 5 6 6 7 7 9 9 9 9 9 8 8 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 11 12 12 11 10 9 8 7 7 7 7 8 8 8 9 10 10 11 11 11 10 10 9 8 8 7 7 7 8 9 10 10 11 11 10 9 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 9 11 11 10 9 8 8 8 9 10 11 10 8 7 7 8 7 6 5 5 6 7 8 nan
nan 6 5 5 4 4 4 3 3 3 4 4 4 5 5 4 5 6 7 8 9 9 9 9 8 7 5 3 2 3 5 7 9 11 13 14 14 13 12 10 9 7 5 5 4 5 6 9 11 10 9 9 9 9 9 8 8 9 9 10 10 10 10 9 9 9 9 9 10 10 10 9 8 8 7 7 6 6 5 5 5 5 5 6 7 8 9 9 9 8 8 8 8 9 10 10 10 10 9 9 9 10 10 11 11 11 11 11 10 9 9 10 11 12 11 10 9 8 7 7 7 7 8 8 8 8 9 10 10 11 11 11 11 11 9 8 8 7 7 7 8 9 10 10 11 12 12 11 10 9 8 8 7 7 8 8 9 8 8 8 8 7 8 9 10 10 9 9 8 7 6 7 9 10 9 8 7 7 7 7 7 7 8 8 8 8 nan
nan 6 5 4 3 2 2 3 3 4 4 4 4 4 4 4 5 6 7 8 9 9 9 8 6 4 3 4 4 7 10 14 16 17 17 16 15 13 11 9 7 5 4 4 4 6 9 12 11 8 6 6 5 4 4 4 5 5 6 7 7 7 7 7 7 7 8 9 9 9 9 8 8 7 7 7 7 6 6 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 9 10 10 10 9 9 9 10 10 11 11 11 11 10 10 9 9 9 10 11 11 10 9 8 8 7 7 8 9 9 8 8 8 9 9 10 10 10 11 12 11 10 9 8 7 8 8 9 9 9 10 12 12 12 12 11 10 9 7 6 7 8 9 9 10 10 10 9 9 9 8 7 6 7 8 7 6 7 8 9 10 9 9 8 8 8 9 11 11 10 8 6 nan
nan 7 5 4 4 4 4 5 6 6 5 5 5 5 6 6 7 8 8 8 8 6 5 2 1 1 4 8 13 17 22 26 27 25 21 17 15 13 11 9 7 6 5 5 5 7 10 11 9 6 4 3 3 3 4 4 5 5 5 5 4 4 4 5 6 7 7 8 8 8 8 8 7 7 7 8 8 7 7 6 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 9 9 8 8 9 9 8 8 9 11 12 11 10 9 8 8 9 9 9 8 8 10 11 12 13 13 12 10 8 7 7 8 9 10 11 11 10 10 10 9 6 3 4 6 7 7 7 7 8 10 11 11 11 10 10 10 12 12 11 9 7 6 nan
nan 9 7 6 7 8 9 10 10 9 8 7 7 8 9 9 9 9 8 7 5 2 0 -0 1 5 11 18 24 29 33 35 34 30 24 18 15 13 11 9 8 7 7 6 7 8 10 10 8 5 4 4 4 5 7 7 7 6 5 4 3 3 4 5 6 6 6 7 7 7 7 7 8 8 7 7 7 6 6 6 7 7 6 5 5 7 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 10 10 9 9 9 9 10 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 7 8 9 10 10 10 10 10 10 9 9 8 9 9 9 10 11 12 12 12 11 10 10 10 10 11 11 12 11 10 9 9 9 6 3 4 6 8 8 8 8 8 9 10 11 10 9 9 9 9 9 8 7 7 7 nan
nan 9 9 8 9 10 12 14 14 13 12 11 11 11 11 11 10 8 7 5 3 1 2 5 10 15 20 25 29 32 34 34 32 28 22 18 15 12 11 9 8 8 7 7 7 8 9 9 7 5 4 5 6 7 8 8 7 6 4 3 3 4 6 6 6 6 6 6 6 6 7 8 8 7 6 6 5 5 6 6 6 6 5 4 5 6 7 8 8 8 8 8 9 9 9 9 10 10 10 9 9 9 9 9 10 10 9 9 9 9 10 10 10 10 9 9 9 10 9 8 8 7 7 8 9 10 10 10 10 10 9 8 8 9 10 10 11 11 11 11 10 9 8 9 10 10 9 10 10 11 11 11 11 11 12 12 12 13 12 11 9 9 9 8 7 6 7 8 9 9 9 8 8 7 7 7 7 6 5 5 5 5 5 5 7 7 nan
nan 9 9 9 9 9 10 12 13 14 14 13 12 11 10 9 7 6 5 4 4 5 8 12 16 19 21 23 25 26 26 26 24 22 19 16 13 12 10 9 8 7 6 6 8 9 9 8 6 4 4 5 6 7 7 8 7 6 4 4 4 7 8 8 7 6 5 5 6 8 10 10 8 6 5 4 5 5 6 7 7 7 6 5 4 5 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 10 11 11 11 10 9 9 10 10 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 11 11 12 12 11 10 9 9 9 9 9 9 8 7 7 8 10 11 11 11 12 12 13 13 13 12 11 11 10 8 8 8 8 9 9 9 9 9 8 6 5 4 3 3 4 4 3 3 4 5 6 7 nan
nan 9 10 10 9 8 8 8 10 12 12 12 11 9 8 6 6 5 6 7 9 11 12 14 15 16 17 18 18 18 18 18 17 16 15 14 12 11 10 9 8 7 6 7 8 8 8 7 4 3 3 4 5 6 7 9 9 7 5 5 6 8 9 8 7 6 6 7 9 11 12 10 7 6 5 5 6 7 8 9 9 9 8 6 5 4 4 6 8 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 11 11 11 10 9 8 8 8 9 9 9 8 6 5 5 7 9 10 10 9 10 11 12 12 12 13 14 14 12 10 8 8 8 8 9 10 10 8 6 5 4 3 3 4 5 6 6 5 5 5 6 7 nan
nan 10 10 10 10 9 8 8 9 10 10 10 9 8 7 7 7 8 9 10 12 13 13 13 13 14 14 14 14 14 14 13 13 13 13 12 12 11 10 10 9 9 8 8 8 8 7 7 4 2 2 3 5 7 9 10 10 8 6 5 6 7 7 7 6 6 8 10 11 12 10 7 6 5 6 7 8 9 10 10 11 10 9 8 7 5 5 6 7 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 8 9 9 8 7 7 7 7 8 9 9 9 9 10 10 9 9 9 8 8 7 7 7 8 9 9 7 6 5 5 7 8 9 8 8 8 9 10 10 10 11 13 14 13 12 10 9 8 9 10 10 9 7 4 4 5 5 5 6 8 9 8 7 5 6 6 7 nan
nan 10 10 10 10 10 10 9 9 10 10 9 9 9 9 10 11 11 11 12 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 9 8 7 8 8 8 6 3 3 4 6 8 10 12 11 7 5 5 5 6 6 6 7 8 9 10 10 8 6 5 5 6 7 8 9 10 10 10 10 10 11 11 10 9 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 10 9 9 8 7 7 7 8 8 8 7 7 7 7 8 9 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 9 8 8 7 7 8 8 9 8 8 8 8 8 8 8 9 9 10 11 12 11 11 11 11 11 10 8 5 3 4 5 6 6 7 9 10 9 7 6 5 5 6 nan
nan 10 10 9 9 9 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 8 6 7 8 8 9 9 7 7 8 9 11 13 13 10 6 4 5 6 6 7 7 8 9 9 8 7 6 5 5 6 7 7 8 9 9 9 8 7 8 10 12 12 11 9 7 6 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 8 8 8 8 9 9 9 8 7 6 6 6 7 7 8 8 8 8 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 8 9 9 8 8 7 7 7 7 7 9 11 12 13 14 13 11 9 7 5 5 5 5 5 5 7 9 10 10 8 7 6 6 6 nan
nan 10 10 10 10 10 10 10 10 11 11 12 12 13 13 13 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 9 7 6 7 8 9 10 10 11 11 11 12 13 14 13 8 5 5 6 7 8 7 8 9 9 9 8 7 6 6 7 7 7 7 7 8 8 8 7 6 6 6 7 8 8 7 6 4 5 6 7 8 9 9 9 9 9 9 9 9 10 9 9 8 8 9 9 8 8 7 7 8 8 8 7 6 6 6 6 7 8 8 8 9 9 10 10 10 10 10 9 9 10 10 10 10 9 9 9 9 8 8 8 8 8 8 9 9 8 8 8 8 8 9 8 8 7 7 6 6 6 7 9 11 13 15 14 10 7 6 6 6 6 6 5 5 7 8 10 10 8 7 6 7 7 nan
nan 11 10 10 10 11 11 11 11 11 12 12 13 13 13 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 13 13 12 12 11 11 10 10 9 8 8 9 10 10 11 11 11 12 12 13 14 14 12 8 6 6 7 9 9 9 9 9 9 9 8 7 7 7 8 8 8 7 7 7 7 8 8 6 5 3 3 3 4 5 5 4 4 4 5 7 8 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 7 7 7 7 8 7 7 6 6 7 7 8 9 9 9 10 10 10 10 10 9 8 8 8 9 11 11 10 9 8 8 8 8 8 8 8 7 8 8 9 8 8 8 7 7 7 7 7 7 7 6 5 6 7 8 10 11 13 11 8 7 6 6 7 7 6 5 6 6 8 9 9 8 7 7 7 8 nan
nan 10 10 10 11 11 11 11 12 12 13 13 13 13 13 12 11 11 11 11 12 12 12 12 13 13 13 13 12 13 13 13 13 13 13 12 12 11 11 10 10 10 10 10 11 11 11 11 11 11 12 13 14 15 14 12 9 8 8 10 12 12 11 10 10 9 9 8 8 8 8 8 8 8 7 7 7 8 8 7 5 4 4 4 4 4 5 6 6 5 4 4 5 6 7 8 8 9 9 9 10 10 9 9 9 8 8 7 6 6 6 7 7 8 7 7 7 7 8 9 10 10 10 10 10 10 10 10 9 9 8 8 8 9 10 11 10 8 7 7 7 7 7 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 7 6 5 6 7 8 9 10 10 9 7 7 7 7 8 8 7 7 7 7 7 8 8 7 6 7 7 7 nan
nan 10 10 10 10 11 11 12 13 13 14 14 14 13 13 11 11 10 11 11 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 11 11 10 11 11 12 12 12 12 12 12 11 11 12 13 14 15 14 12 11 11 12 13 13 12 11 10 9 8 8 8 8 7 8 8 9 8 8 8 10 10 8 6 5 5 5 6 6 6 7 7 7 7 6 5 5 5 6 7 8 9 9 9 9 9 8 8 8 8 7 6 6 6 6 7 8 8 7 7 7 8 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 9 10 11 10 9 8 8 8 8 7 8 9 9 8 8 9 9 9 9 9 8 8 8 9 9 8 7 7 7 7 8 8 9 8 8 7 7 7 8 9 9 8 7 7 7 8 8 8 7 7 7 7 6 nan
nan 9 9 9 10 10 11 12 13 14 14 14 14 14 13 12 11 10 11 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 11 11 11 10 10 10 11 13 13 13 14 14 14 13 12 12 12 13 14 14 14 14 15 15 15 14 12 10 9 7 6 7 7 8 8 9 10 9 9 9 11 13 12 10 7 5 5 6 7 7 7 8 8 8 8 8 7 7 6 7 7 8 8 9 9 8 7 7 7 7 7 6 6 6 7 8 9 9 9 8 8 8 9 9 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 10 11 11 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 9 8 8 8 8 8 7 8 8 7 6 nan
nan 9 9 9 9 10 11 12 13 14 14 14 13 13 12 11 10 11 11 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 11 11 10 9 9 9 9 10 12 14 15 15 14 13 13 14 13 13 13 14 15 16 18 19 19 17 15 12 11 9 7 6 7 8 9 10 11 11 11 10 11 13 14 12 10 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 7 6 6 7 7 7 7 7 8 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 9 10 11 11 11 11 11 11 10 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 9 9 9 9 10 10 9 10 10 9 9 8 8 7 7 7 7 6 6 nan
nan 9 9 8 8 9 10 11 12 13 13 13 13 12 12 11 11 11 11 12 12 12 12 11 11 11 10 10 11 11 11 11 11 11 11 10 9 8 8 8 8 9 11 14 15 15 14 12 12 13 14 14 14 15 16 18 20 21 20 19 17 14 12 10 8 7 7 8 10 11 11 11 10 10 11 11 10 8 7 6 6 7 7 7 8 8 8 8 8 8 9 9 9 9 8 7 7 7 8 8 7 7 7 7 7 7 8 8 9 10 11 11 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 8 9 10 11 11 11 11 11 11 10 10 10 11 12 12 11 11 10 10 10 10 10 10 11 11 12 12 11 11 11 11 10 10 10 10 9 9 10 10 10 10 9 9 10 9 9 9 8 8 8 8 7 7 6 nan
nan 10 9 8 8 9 10 11 11 12 12 12 12 12 11 11 11 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 10 9 8 8 8 8 9 11 12 13 13 13 12 12 12 12 13 13 15 17 19 20 21 21 20 18 17 15 13 11 9 8 8 9 10 9 9 8 9 9 7 4 3 3 4 6 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 6 6 7 8 8 8 8 8 8 8 8 9 9 9 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 10 11 12 12 12 10 9 9 10 11 11 11 11 11 10 10 9 10 12 12 11 10 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 9 8 7 7 nan
nan 11 10 9 9 10 10 11 11 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 8 9 9 9 9 9 9 9 10 10 11 10 10 9 9 9 9 10 11 10 11 11 11 10 10 11 11 11 12 14 16 17 18 19 20 20 19 19 19 17 15 12 11 10 9 7 6 6 7 7 6 3 1 1 2 4 7 8 9 9 8 8 8 8 8 8 9 9 9 8 8 7 6 6 7 8 8 8 8 7 8 8 9 9 8 8 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 9 10 11 11 11 10 10 10 10 10 11 11 12 11 10 9 9 10 12 11 10 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 7 nan
nan 11 11 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 11 10 10 10 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 9 10 10 11 11 10 10 9 9 9 8 9 9 10 11 12 13 15 16 17 18 18 19 21 21 20 18 17 16 12 10 5 3 3 4 4 4 3 3 4 6 7 8 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 6 7 8 9 9 9 8 7 7 8 9 10 9 9 7 7 7 8 8 8 8 8 8 8 9 9 9 9 8 7 7 8 8 9 9 9 9 9 9 9 9 10 11 11 10 8 8 9 10 10 9 9 8 7 8 8 9 10 10 9 8 8 7 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 9 9 9 8 8 8 7 7 7 nan
nan 12 11 11 10 10 11 12 12 13 13 12 12 12 12 11 11 10 10 9 9 9 9 9 8 8 8 8 8 9 9 10 9 9 9 9 9 9 9 10 11 13 13 12 10 9 8 8 8 9 9 9 9 10 11 12 12 13 15 16 17 19 20 20 19 18 18 15 12 7 4 4 5 5 5 5 7 8 9 9 9 9 8 8 8 7 8 8 8 9 8 8 8 7 7 7 7 8 9 10 10 10 10 10 9 9 9 10 10 9 8 7 7 7 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 7 8 8 8 8 7 8 9 9 9 8 8 8 9 9 9 9 9 8 8 9 9 10 10 9 8 7 7 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 8 8 8 7 7 nan
nan 12 12 11 10 10 10 11 12 13 13 12 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 8 8 9 10 10 9 8 8 8 8 8 8 10 12 13 14 13 11 9 9 8 9 9 8 8 8 9 9 10 10 10 11 12 13 15 16 16 16 16 16 17 15 11 9 8 8 7 7 8 10 10 10 10 9 9 8 8 7 8 8 9 9 8 8 8 8 8 8 8 9 10 10 11 11 11 11 11 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 nan
nan 11 11 11 10 9 9 10 11 12 12 12 11 10 10 11 11 11 10 10 9 9 10 10 10 9 9 8 8 8 9 9 8 8 7 7 7 8 9 10 11 12 12 12 11 10 9 9 9 9 9 9 8 8 9 9 9 9 8 9 10 11 12 12 13 13 14 16 15 13 11 8 7 7 8 10 12 12 12 12 11 10 9 9 8 9 9 9 8 8 8 8 8 8 9 9 10 10 11 11 11 11 10 10 9 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 8 8 8 7 7 7 7 7 8 7 7 6 7 7 8 8 9 10 10 10 10 9 8 7 7 8 7 7 7 8 8 9 9 9 9 10 10 10 10 11 10 10 10 10 9 9 10 10 10 10 10 10 9 9 9 9 nan
nan 10 11 10 10 9 8 9 10 11 11 11 10 10 11 11 11 11 11 10 10 10 10 10 10 10 9 8 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 11 12 12 12 12 15 15 13 10 6 4 5 8 11 13 14 15 15 14 12 11 11 11 11 10 9 8 8 8 8 8 9 9 9 10 10 11 10 10 9 9 9 8 7 7 7 7 7 8 8 8 9 8 8 8 8 8 8 8 9 9 10 9 9 8 7 7 7 8 8 8 8 7 7 8 8 8 8 7 7 7 7 8 8 8 9 10 10 10 9 8 8 7 8 8 7 7 8 8 9 9 9 9 10 10 10 10 11 11 11 10 10 9 9 9 10 11 10 10 10 9 9 9 9 nan
nan 10 10 10 10 9 8 9 10 10 10 10 10 10 11 12 12 11 11 10 10 10 10 11 10 9 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 8 8 8 9 9 9 9 10 10 9 9 9 9 10 12 13 14 13 12 13 13 12 9 6 6 8 10 11 12 13 14 15 14 12 12 12 12 13 11 10 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 9 8 7 7 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 10 10 9 9 9 8 8 8 7 7 8 9 9 9 10 10 10 10 11 11 11 11 11 11 10 10 9 10 10 11 11 10 10 9 9 9 9 nan
nan 10 11 11 11 10 10 10 10 10 9 9 9 10 12 13 13 13 12 11 11 11 10 10 9 9 8 7 7 7 8 8 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 10 12 14 16 15 13 12 12 11 10 9 10 12 12 12 11 11 11 11 11 10 10 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 9 10 10 10 9 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 8 9 9 9 9 9 9 9 8 7 7 8 8 9 10 10 10 10 10 11 11 11 10 10 11 11 11 11 10 10 10 11 11 11 10 10 9 9 9 nan
nan 11 11 12 12 13 13 12 11 10 9 9 9 11 13 13 13 13 13 13 12 11 10 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 8 8 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 11 12 14 16 17 16 15 14 13 12 13 14 15 14 13 11 9 8 8 8 8 8 8 8 9 10 12 12 12 10 9 9 8 8 8 8 9 9 9 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 9 9 8 9 10 10 9 8 7 7 7 7 8 8 8 8 8 8 7 8 9 10 9 8 8 7 7 7 8 9 9 9 9 9 8 8 7 8 8 9 10 10 11 11 10 10 10 10 9 9 9 10 11 11 11 10 10 10 10 11 11 10 9 9 9 9 nan
nan 11 12 13 15 17 18 15 12 9 8 8 9 11 12 12 12 13 13 14 13 11 10 9 9 9 9 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 10 10 11 12 14 16 18 19 17 16 15 14 14 14 13 12 11 9 9 9 9 8 7 7 7 9 11 12 12 11 10 9 8 8 8 8 8 9 9 9 9 9 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 9 9 8 7 7 7 8 8 8 7 7 8 8 7 8 9 10 9 9 8 7 7 7 8 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 8 8 9 9 9 10 10 11 11 10 10 10 9 8 7 7 8 9 9 nan
nan 12 13 15 18 20 20 17 13 10 8 8 9 10 11 11 12 12 13 13 13 12 10 9 9 10 10 11 11 11 10 10 9 9 9 8 8 8 8 7 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 11 12 14 15 17 16 15 14 13 12 11 11 11 10 10 9 9 9 8 8 9 9 10 10 9 9 9 9 9 8 8 8 8 9 9 9 10 10 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 7 8 8 8 9 9 9 9 9 9 8 7 7 7 7 8 9 8 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 9 10 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 10 9 8 7 7 8 8 8 8 nan
nan 13 14 15 17 19 19 16 13 11 9 8 9 10 10 10 11 11 11 12 12 11 10 9 10 11 12 12 12 11 11 11 10 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 9 8 8 7 7 8 8 8 9 10 10 10 11 12 13 13 12 12 11 11 10 9 10 10 11 11 11 9 8 8 9 10 10 10 9 8 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 7 7 7 7 7 8 8 8 9 10 10 9 8 7 7 7 8 8 9 9 9 9 10 11 11 10 9 9 9 9 9 9 10 9 9 8 9 10 11 12 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 9 8 9 10 11 10 9 8 nan
nan 12 12 13 14 16 15 14 12 10 9 8 9 9 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 11 11 11 11 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 7 7 7 8 8 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 12 12 10 10 10 10 11 11 11 11 10 10 10 9 8 8 8 8 8 8 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 8 8 9 10 10 11 10 9 8 8 9 9 9 9 10 11 12 13 13 12 11 10 10 9 9 9 11 11 11 9 8 9 10 11 12 12 10 9 9 9 9 9 9 9 9 8 8 9 9 9 9 10 10 10 10 11 11 11 10 9 10 11 12 12 11 9 9 nan
nan 11 11 11 12 13 13 11 10 9 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 12 13 13 14 13 13 12 11 11 11 10 10 9 8 8 8 8 8 9 8 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 12 14 14 14 13 13 13 12 11 10 9 11 12 12 11 10 9 9 10 10 11 11 11 10 9 9 9 9 9 8 8 8 8 9 10 9 9 10 10 10 10 10 10 10 10 10 10 11 11 12 11 10 10 nan
nan 11 10 10 10 11 10 10 9 8 8 8 9 9 9 9 9 9 8 9 9 10 10 11 11 11 10 10 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 11 12 11 11 11 11 11 11 11 10 11 11 12 13 14 14 14 12 11 10 9 8 7 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 11 11 11 12 12 13 13 13 13 13 13 13 12 12 12 12 11 11 12 13 14 14 14 14 13 13 13 13 12 11 12 13 13 11 10 9 10 10 11 11 12 11 10 9 9 9 9 9 8 7 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 11 11 nan
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nan 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 6 6 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 13 14 15 15 14 13 11 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 9 10 11 10 10 11 13 14 16 16 15 14 13 12 11 11 11 10 9 8 7 7 6 7 7 8 8 8 8 8 8 9 11 12 12 11 9 8 7 8 8 9 9 9 9 9 11 12 13 13 12 11 11 11 11 11 10 9 10 10 10 10 8 7 7 6 6 5 4 4 5 6 6 7 7 6 7 8 10 11 11 11 11 11 11 10 9 10 11 12 13 12 nan
nan 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 6 6 7 7 7 7 8 9 9 9 8 8 7 7 7 8 8 9 9 10 10 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 10 12 13 14 15 16 15 13 11 10 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 11 11 10 9 9 8 8 7 8 9 10 11 11 10 10 11 12 13 14 15 16 16 15 14 14 13 12 11 10 9 8 7 6 6 7 7 7 7 8 8 8 9 10 11 11 11 9 7 7 7 8 9 10 10 9 9 10 11 11 12 12 12 12 11 12 12 12 13 13 13 13 11 8 5 3 3 3 4 4 4 5 5 5 6 6 6 7 8 10 12 12 12 12 12 11 10 10 10 11 13 13 12 nan
nan 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 6 6 5 6 7 7 8 9 10 10 10 9 8 8 8 8 8 9 9 10 9 9 8 7 7 6 6 6 6 7 7 7 8 8 8 8 8 9 10 11 12 13 14 15 16 15 14 12 11 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 11 11 10 10 10 9 9 8 8 9 10 11 11 12 11 11 11 11 11 12 13 15 16 16 16 15 13 12 10 9 9 8 7 6 6 7 7 7 7 7 8 8 9 10 11 11 9 8 7 8 8 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 13 14 14 15 13 10 7 4 3 4 5 6 6 6 5 5 6 6 6 7 8 10 12 13 14 14 13 11 11 10 11 12 14 13 12 nan
nan 11 11 10 10 9 9 8 8 8 8 8 9 9 9 9 9 8 6 5 5 5 6 7 8 9 11 11 11 10 10 9 8 8 8 9 9 9 9 8 7 7 6 6 6 6 6 6 7 7 7 8 8 8 9 9 10 11 12 13 14 15 16 16 14 12 11 10 9 9 8 8 8 8 8 8 7 8 8 9 9 10 10 10 11 11 10 10 11 11 11 10 9 9 9 10 12 13 12 10 9 8 9 9 11 12 14 16 17 16 14 13 11 11 10 8 7 7 6 7 7 7 7 7 7 7 8 8 10 10 10 10 9 9 9 9 9 10 10 11 10 10 10 10 10 10 10 11 11 11 11 12 13 14 16 16 15 12 9 7 7 8 8 7 6 5 5 5 6 7 7 9 11 13 14 15 14 13 11 10 10 10 11 12 12 11 nan
nan 10 10 10 9 9 8 8 8 8 8 8 8 8 8 7 6 4 3 3 5 6 7 8 9 10 12 12 12 11 10 9 8 8 8 8 8 8 8 7 6 6 6 6 6 7 7 7 7 7 8 8 8 9 10 10 11 12 13 15 16 16 16 14 13 11 10 9 9 8 8 8 7 7 8 8 8 8 9 9 10 10 10 10 11 11 11 11 12 12 12 11 9 8 9 10 11 12 11 9 8 8 9 9 9 10 13 15 16 16 15 13 12 11 11 9 8 7 7 7 8 8 7 7 7 7 6 6 7 9 10 11 11 11 10 10 10 10 11 11 10 10 10 10 9 9 10 10 11 11 11 11 12 14 15 16 16 15 13 11 10 9 8 7 6 5 5 5 7 8 9 11 12 14 15 15 14 12 11 10 9 8 9 9 8 7 nan
nan 10 9 8 8 8 9 9 9 9 9 8 7 7 6 5 3 2 2 3 6 8 9 9 10 11 12 12 12 11 10 8 8 8 8 8 8 8 7 6 6 7 7 8 8 8 8 8 8 8 8 8 9 10 11 12 13 14 15 16 16 16 15 13 11 10 9 9 9 8 8 7 7 7 7 8 8 8 8 9 9 10 10 10 10 10 11 11 12 12 11 10 9 9 9 10 11 11 10 9 9 9 10 10 10 10 12 14 16 16 15 13 11 11 11 11 10 8 8 9 9 8 7 7 7 7 6 6 7 9 12 12 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 10 10 11 12 13 13 14 13 13 12 11 10 9 8 6 5 5 5 6 7 10 11 13 13 14 15 16 14 13 11 9 7 6 5 4 3 2 nan
nan 9 8 8 8 8 9 9 9 10 10 9 8 6 4 3 4 5 6 7 8 9 10 11 11 11 12 11 11 9 8 7 7 7 7 7 7 7 7 7 8 8 9 9 10 9 9 9 9 9 9 9 10 11 12 13 14 15 15 16 16 15 13 12 10 9 9 9 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 10 9 10 10 11 11 11 10 10 10 10 10 10 10 11 10 10 10 10 11 11 11 11 12 14 15 15 14 12 10 11 12 13 12 10 9 9 9 8 7 6 6 6 7 8 9 11 13 13 11 10 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 11 11 11 10 10 10 9 9 8 8 6 5 5 4 5 6 8 10 13 14 15 15 16 16 15 13 11 8 6 4 2 0 1 3 nan
nan 9 8 8 8 8 7 7 8 9 10 10 9 7 5 5 5 7 9 9 9 9 10 11 11 11 11 10 9 8 7 7 7 7 7 7 7 7 8 9 10 10 11 11 10 10 10 10 10 10 10 11 12 12 13 14 15 15 15 15 14 13 12 11 9 9 8 8 8 9 9 9 8 8 7 7 7 6 6 7 8 9 9 9 9 9 9 10 10 9 9 10 10 10 10 10 11 11 11 11 11 11 11 12 12 11 11 12 14 15 14 13 12 13 14 15 14 12 10 9 8 8 7 6 6 6 7 8 9 12 13 12 11 10 9 9 9 9 9 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 7 7 6 5 4 4 4 6 8 10 11 13 15 16 17 17 17 16 13 10 7 5 4 3 2 4 7 nan
nan 9 9 9 8 7 6 5 6 7 9 10 10 9 8 8 8 8 8 8 8 9 10 11 11 11 10 9 8 8 8 8 8 8 8 7 8 9 10 11 12 12 12 12 11 11 10 10 11 11 12 12 13 14 15 15 14 14 13 13 12 11 10 10 9 8 8 8 8 9 10 10 11 10 9 8 6 5 6 7 8 9 10 9 9 10 10 10 10 10 9 9 10 10 10 11 11 11 12 11 11 11 12 12 12 11 11 11 12 14 15 14 14 14 15 16 15 13 11 9 9 8 8 7 7 7 8 8 9 11 11 11 10 9 9 10 10 10 9 9 8 8 9 8 8 9 9 10 10 10 10 9 9 8 8 8 8 7 7 6 6 5 4 3 3 5 7 9 11 12 14 16 18 18 18 18 16 13 9 6 4 4 5 7 9 12 nan
nan 8 9 10 9 8 6 5 6 7 9 10 10 10 10 10 9 8 8 8 8 9 10 10 11 11 10 9 8 9 10 11 11 10 9 8 9 10 12 13 14 14 15 14 14 14 13 13 13 14 14 14 14 15 14 14 13 13 12 11 11 10 10 9 9 9 9 9 9 9 10 11 12 12 11 9 7 6 6 7 8 9 10 10 10 11 11 12 11 10 9 9 9 9 10 11 11 12 12 12 12 12 13 13 13 12 11 11 11 12 13 14 15 15 16 16 15 14 12 10 10 9 9 8 8 8 8 9 10 11 10 9 8 7 8 9 10 10 9 8 8 8 7 7 7 8 9 9 10 10 10 9 8 8 8 8 7 6 6 5 4 3 3 3 5 7 9 11 11 13 15 18 20 20 18 15 13 10 8 6 6 7 9 11 12 14 nan
nan 8 9 10 10 9 8 8 8 9 9 9 9 9 8 8 8 7 7 7 8 9 10 11 11 10 10 9 9 11 12 13 12 11 10 10 10 12 13 14 15 16 17 17 17 17 17 17 17 17 16 15 14 13 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 9 8 6 6 7 8 9 10 10 10 10 11 10 10 9 9 9 9 9 10 10 11 12 12 13 13 13 13 14 14 14 13 12 11 11 11 12 13 14 15 15 14 14 12 11 10 9 9 9 9 8 8 9 10 11 10 9 6 5 5 5 7 7 7 7 7 7 7 6 7 8 9 9 10 10 9 9 8 9 9 8 6 5 4 3 2 2 4 6 8 10 11 11 12 14 17 20 22 21 16 12 9 7 7 8 9 10 12 14 15 15 nan
nan 7 8 9 9 9 9 9 10 10 9 9 7 6 6 6 6 6 7 7 8 10 11 11 11 10 9 9 9 10 11 12 12 11 11 11 11 12 14 15 17 18 18 19 19 18 18 18 18 18 16 14 13 12 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 11 11 10 9 8 7 7 7 7 9 9 9 10 9 9 9 8 8 8 8 8 8 9 10 11 12 12 12 12 12 12 12 13 14 14 13 12 11 10 10 10 11 11 12 12 13 12 10 9 9 9 8 8 8 8 9 9 10 10 9 7 5 3 3 3 4 5 6 7 7 8 8 9 9 10 10 10 9 9 9 9 9 8 6 3 2 1 1 2 4 7 9 11 11 11 11 13 15 17 19 20 17 13 9 6 5 6 8 10 13 15 17 17 17 nan
nan 7 8 8 9 9 9 9 9 9 8 7 6 5 5 5 6 7 8 8 9 10 11 11 11 10 9 9 9 10 10 10 10 10 11 11 12 13 15 16 18 18 17 17 16 15 15 15 15 15 14 13 12 11 10 11 10 9 9 9 10 11 11 11 11 11 11 12 12 12 11 11 10 10 9 9 8 7 7 7 7 8 9 9 9 9 8 8 8 8 9 9 8 8 9 10 11 12 11 11 11 11 11 11 12 13 13 12 12 11 10 9 8 8 9 10 11 11 10 9 8 8 7 6 6 6 7 8 8 9 9 9 8 6 5 3 4 4 4 4 6 7 8 9 10 10 10 10 10 9 8 7 7 5 3 0 -2 -2 -1 2 5 7 10 11 11 11 12 13 15 16 16 14 12 9 6 5 5 6 7 9 11 14 17 18 18 16 nan
nan 8 9 9 9 9 9 9 9 8 7 6 6 5 5 6 7 8 9 9 10 10 10 10 10 9 9 9 10 10 11 10 9 10 11 12 13 14 15 16 16 15 14 13 12 12 12 12 12 12 12 11 11 10 11 11 11 10 8 8 9 10 11 12 12 12 12 11 11 10 10 10 9 9 9 9 8 7 7 7 7 8 9 9 10 9 9 9 9 10 10 10 9 9 9 10 11 11 10 10 10 10 10 10 10 10 11 11 10 10 9 9 8 7 8 9 10 10 9 8 7 6 5 5 5 6 6 7 8 9 9 9 9 7 7 7 7 6 5 5 5 6 8 9 9 9 9 9 9 8 6 4 3 1 -2 -3 -3 -1 2 6 9 11 12 12 12 13 15 17 19 18 16 11 7 4 3 3 5 7 9 11 13 17 20 20 18 14 nan
nan 8 9 10 10 10 10 9 9 8 7 6 6 6 6 6 8 9 9 10 9 9 9 9 9 9 9 9 10 12 12 11 10 10 11 11 12 13 14 14 13 12 11 10 9 9 10 10 10 10 10 9 10 10 11 11 10 9 8 8 8 9 11 12 12 12 12 11 10 10 9 9 9 9 8 8 8 7 7 7 7 8 9 9 9 9 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 9 8 7 6 6 6 6 7 7 9 10 10 10 10 9 8 8 9 10 10 9 8 8 8 8 9 9 9 8 7 5 3 1 -0 -1 -2 -1 0 3 6 9 11 12 13 14 14 16 18 21 23 24 23 19 14 10 8 7 8 8 9 11 13 17 21 22 21 17 12 nan
nan 9 9 9 10 10 10 10 9 8 7 7 6 6 6 7 8 9 9 10 9 9 9 10 10 10 10 10 12 13 12 11 10 9 9 9 10 11 12 11 11 10 9 9 8 8 8 8 8 8 7 8 8 9 10 10 10 8 7 7 8 9 11 12 13 12 12 11 10 10 9 9 8 8 8 7 7 7 7 8 8 8 8 8 9 9 9 10 10 10 11 11 11 11 10 10 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 9 10 10 11 12 13 13 12 10 9 9 10 11 12 12 12 12 11 10 9 9 9 7 4 1 -1 -2 -2 -2 -1 2 5 9 12 14 15 15 16 17 18 19 21 23 24 24 24 23 21 18 16 13 12 11 11 12 14 17 21 22 20 16 12 9 nan
nan 8 9 9 9 10 10 10 10 9 8 7 7 6 6 7 8 9 10 10 10 10 10 11 11 12 12 13 14 13 12 10 8 7 7 8 9 10 10 10 9 9 9 8 8 7 7 7 7 6 6 7 7 8 9 9 8 6 5 6 7 8 10 12 12 12 11 10 10 10 10 9 9 8 8 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 11 12 13 13 14 15 15 14 12 10 10 11 12 13 13 13 14 14 12 11 10 9 7 3 1 -1 -1 0 2 5 8 12 16 18 19 19 20 20 20 21 22 22 23 22 21 19 17 16 15 15 14 13 12 12 13 14 17 20 21 19 15 9 6 6 nan
nan 8 8 8 9 10 10 10 10 10 9 8 7 7 7 8 9 10 11 11 11 11 12 13 14 15 15 15 14 13 10 8 6 5 5 7 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 7 5 4 4 6 8 9 11 11 11 10 10 10 10 10 10 10 10 9 9 8 8 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 11 11 10 10 10 12 12 13 13 13 14 14 13 12 12 13 15 16 16 15 15 15 15 15 14 13 10 7 6 5 6 8 10 13 16 20 23 24 23 22 20 20 20 20 20 19 18 17 15 12 11 10 10 9 10 11 12 13 15 16 18 20 20 18 15 11 7 5 6 nan
nan 8 8 9 9 10 10 10 10 10 9 8 7 7 7 9 11 12 13 13 13 14 14 15 16 16 16 15 13 11 9 6 5 4 5 7 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 10 9 8 7 4 3 3 5 7 10 11 10 10 9 9 9 9 10 10 11 11 11 10 9 9 9 10 11 11 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 11 10 10 10 10 11 11 11 11 11 11 11 12 12 14 16 18 18 18 16 16 17 19 20 21 19 16 13 13 14 16 18 20 21 23 24 23 22 19 16 14 13 13 13 12 11 10 9 7 6 7 8 9 10 12 14 16 17 19 20 21 20 18 15 13 10 9 8 8 nan
nan 9 9 9 10 10 10 9 9 8 8 8 7 8 9 11 13 14 15 15 15 15 15 15 15 15 14 13 11 9 7 6 5 6 7 8 9 9 9 9 8 9 9 9 9 9 9 8 9 9 10 11 10 8 6 4 4 5 7 9 10 10 9 8 8 9 9 10 10 11 11 11 11 11 10 10 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 8 8 8 8 8 7 7 7 7 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 13 14 15 16 16 16 16 16 18 19 20 21 20 18 17 17 17 18 20 21 21 20 18 16 12 9 8 8 9 9 9 9 8 8 7 8 9 10 12 12 14 16 18 19 19 20 20 19 17 15 13 12 11 11 10 9 nan
nan 9 10 11 11 11 10 8 8 7 7 8 9 9 10 11 13 14 14 13 13 13 13 13 12 11 10 10 8 7 6 6 7 8 9 9 9 9 9 9 9 10 10 10 10 9 7 7 7 9 10 11 10 8 7 6 7 8 9 10 9 8 8 7 8 9 10 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 8 8 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 11 10 10 9 9 9 11 11 12 12 12 12 12 12 14 15 16 16 15 14 14 14 14 14 15 16 16 15 14 12 10 10 10 11 12 14 15 15 15 15 14 14 15 16 16 15 14 14 15 15 16 16 16 15 15 14 12 12 12 12 11 11 10 nan
nan 10 11 12 12 11 9 8 8 8 9 10 10 10 10 11 10 10 9 9 9 9 9 9 9 9 9 8 7 7 7 7 8 9 9 9 9 9 9 9 9 10 10 10 9 7 5 5 6 8 10 10 10 9 9 9 9 10 10 10 9 8 7 7 8 9 10 12 13 13 12 11 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 10 11 11 11 11 11 11 10 10 10 10 11 11 10 10 8 8 8 9 9 10 9 9 9 9 9 10 10 12 12 12 12 11 11 11 11 11 12 12 12 12 11 12 13 16 18 20 20 20 20 21 21 21 20 20 19 18 17 14 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 nan
nan 11 11 11 11 10 9 9 9 9 10 11 11 11 11 10 9 7 6 6 6 6 7 8 9 9 8 8 8 7 8 8 9 9 9 9 9 9 10 10 10 10 9 9 8 7 5 5 6 8 10 10 10 10 10 11 11 11 11 10 9 8 8 7 7 9 10 11 12 12 12 11 11 11 11 11 12 12 12 11 11 10 9 9 9 9 9 9 8 8 8 9 9 9 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 10 10 10 10 10 11 11 11 11 11 10 11 11 10 9 7 6 6 6 7 8 9 9 9 9 9 9 9 10 11 11 11 10 10 10 9 9 10 11 12 12 12 13 14 16 18 20 20 20 19 19 18 18 18 17 17 16 14 13 12 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 nan
nan 11 11 10 10 10 9 10 11 11 11 12 12 11 11 10 9 7 6 6 6 7 8 9 9 9 9 9 9 8 8 8 9 10 10 10 10 10 10 10 10 9 8 8 8 7 7 6 7 8 9 10 10 10 10 11 11 12 12 11 11 10 9 8 8 8 9 10 11 11 11 11 11 11 11 12 13 13 13 12 12 11 10 10 10 10 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 8 9 9 10 10 11 11 11 10 10 8 6 4 2 3 3 5 6 7 8 9 9 9 9 9 10 10 11 10 9 8 7 8 9 11 13 13 13 13 13 14 15 15 15 15 15 14 14 13 13 13 13 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 nan
nan 11 10 10 10 10 10 11 12 12 12 12 12 12 11 10 9 8 7 7 7 8 9 10 10 10 10 9 9 8 9 9 9 10 11 11 11 10 10 10 9 8 7 7 7 7 8 7 7 7 9 10 10 10 11 11 11 12 12 12 13 12 11 10 9 9 9 10 11 11 11 10 10 10 11 12 14 14 14 13 12 11 11 10 10 10 10 9 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 10 8 8 8 9 10 11 11 11 10 9 7 5 3 2 1 1 0 1 1 3 4 6 6 6 6 6 7 9 9 8 6 4 5 7 11 13 14 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 12 12 12 11 11 11 11 12 12 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 7 7 8 9 10 11 11 11 10 10 9 9 9 10 10 11 12 11 11 11 10 10 9 7 6 6 7 8 8 7 6 6 8 9 10 11 10 10 10 11 12 12 13 13 13 12 11 10 10 10 11 11 11 10 9 9 9 10 12 13 13 13 12 11 11 10 10 10 10 9 8 8 8 9 10 10 10 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 10 9 9 9 9 10 10 9 9 7 5 4 4 4 4 4 3 2 0 -0 0 0 0 0 -0 0 2 3 4 5 4 2 3 7 11 15 15 14 12 12 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 13 12 12 12 12 11 11 11 11 11 12 nan
nan 11 12 12 12 12 11 10 10 10 10 11 11 11 10 9 8 7 7 7 8 9 10 11 11 11 10 10 10 10 10 11 11 12 12 12 12 11 11 11 10 9 8 8 8 8 8 7 6 6 7 8 9 10 10 9 9 10 10 11 12 12 13 13 12 12 11 11 11 11 12 11 10 9 8 8 9 11 11 11 10 9 10 10 11 12 11 10 10 10 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 9 8 8 7 7 6 5 3 3 3 3 5 6 8 8 8 8 6 4 3 2 -0 -1 -1 -1 1 2 3 2 1 3 7 13 19 19 16 13 11 10 10 10 11 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 11 11 10 10 11 11 nan
nan 11 12 12 12 12 11 10 10 10 11 11 11 11 10 9 8 7 7 8 9 10 10 11 11 11 11 11 10 10 11 11 12 12 12 12 12 12 12 12 12 11 10 10 10 10 10 9 8 7 7 7 8 9 10 9 9 9 9 10 11 11 12 12 12 12 11 11 11 11 11 11 11 9 8 8 8 9 10 10 9 9 9 11 12 13 13 13 13 13 14 14 14 14 13 13 13 13 13 13 13 13 11 10 10 10 10 10 9 10 9 8 7 5 4 2 1 0 -0 0 2 4 6 9 10 11 11 11 11 9 8 6 5 4 4 5 6 7 6 6 7 11 16 21 23 20 16 12 10 9 9 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 11 11 11 11 10 10 10 11 11 nan
nan 10 10 11 11 11 11 10 10 11 11 12 12 11 10 9 8 8 8 9 10 11 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 13 13 13 13 12 12 11 11 11 10 10 9 9 8 7 7 9 10 10 10 9 9 10 10 11 11 12 12 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 8 8 8 9 11 12 13 14 15 15 15 15 14 14 13 13 12 12 12 12 12 11 10 9 9 9 8 8 9 9 10 9 8 7 4 2 1 1 1 3 5 7 9 10 11 11 11 11 11 11 10 10 9 9 9 10 11 12 13 13 15 19 21 23 21 17 14 11 9 9 9 9 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 10 10 10 10 10 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
2530 2292 2027 1790 1612 1502 1421 1381 1376 1393 1443 1504 1558 1646 1763 1894 2036 2192 2349 2447 2496 2518 2534 2552 2573 2599 2615 2644 2708 2767 2801 2828 2881 2944 2982 2988 2971 2952 2938 2927 2927 2907 2890 2879 2866 2842 2798 2729 2628 2538 2528 2553 2556 2514 2449 2396 2367 2341 2290 2193 2026 1759 1379 909 527 263 105 27 0 0 0 4 8 25 65 132 221 309 462 707 1010 1236 1424 1638 1661 1701 1708 1687 1638 1564 1468 1362 1268 1219 1222 1264 1340 1429 1485 1435 1356 1313 1182 986 842 823 845 821 782 735 766 813 803 776 695 618 532 439 361 272 129 31 27 18 19 20 21 27 29 13 6 7 9 7 3 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 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2131 1842 1577 1347 1162 1027 939 892 886 924 1003 1107 1212 1368 1660 1828 1874 2018 2211 2359 2442 2492 2534 2571 2605 2652 2696 2770 2870 2945 2985 3001 3009 3015 3036 3038 3018 2996 2985 2985 2982 2956 2930 2912 2896 2865 2806 2717 2618 2562 2551 2572 2580 2550 2496 2420 2369 2342 2281 2135 1855 1438 994 567 281 111 32 7 0 1 11 28 48 75 122 189 252 306 424 631 908 1106 1223 1357 1403 1409 1373 1304 1250 1215 1166 1086 1044 985 989 1041 1112 1186 1273 1283 1210 1131 1017 865 717 629 611 602 628 568 531 578 675 730 714 642 548 404 243 117 33 10 9 6 4 2 4 9 7 3 1 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
1619 1345 1119 929 765 640 558 516 518 567 661 779 858 1032 1238 1421 1603 1843 2098 2289 2390 2444 2496 2564 2640 2715 2795 2868 2914 2921 2934 2990 3065 3082 3068 3059 3043 3029 3022 3015 3004 2983 2958 2931 2896 2847 2775 2685 2599 2567 2550 2551 2556 2544 2497 2404 2364 2293 2190 1946 1535 1048 574 281 125 40 7 1 0 2 34 73 117 161 207 263 325 369 453 586 745 872 954 1015 1025 994 929 862 813 799 807 746 731 735 756 829 885 931 1170 1182 1146 1047 922 786 642 505 458 425 462 458 452 496 568 600 590 485 364 244 136 55 11 6 3 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 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
1153 939 769 626 505 410 337 289 275 299 360 440 500 667 863 1095 1372 1689 2010 2268 2404 2457 2469 2497 2561 2636 2712 2752 2757 2745 2749 2792 2879 3009 3050 3063 3057 3051 3046 3033 3013 2993 2968 2929 2875 2802 2713 2624 2568 2549 2537 2526 2514 2486 2414 2278 2235 2062 1877 1539 1044 594 279 107 39 10 1 0 0 2 33 75 121 163 208 267 343 400 466 536 583 621 663 688 652 600 547 501 479 485 491 464 451 435 442 581 729 762 943 980 944 866 759 642 534 439 429 387 373 392 442 494 490 457 379 259 153 90 60 29 4 1 1 1 1 0 0 1 0 0 0 0 0 1 1 1 1 1 1 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
828 668 543 440 347 261 196 155 132 127 142 179 217 303 437 651 950 1322 1734 2127 2419 2574 2583 2529 2495 2514 2548 2564 2570 2580 2595 2615 2658 2792 2931 3015 3050 3058 3051 3036 3014 2986 2959 2927 2858 2754 2646 2574 2536 2514 2483 2422 2325 2231 2178 1993 1850 1621 1356 1006 605 286 95 27 5 0 0 0 0 0 9 28 51 85 143 231 318 371 410 446 454 434 411 410 372 318 282 257 250 262 275 282 306 336 336 403 525 581 640 654 640 602 527 436 376 364 357 311 259 233 238 259 281 251 179 97 35 8 5 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 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
628 502 405 327 253 177 133 113 85 63 58 63 75 96 133 233 432 733 1116 1548 2014 2402 2636 2711 2669 2579 2512 2470 2454 2477 2523 2553 2563 2634 2767 2911 3008 3045 3041 3020 2995 2968 2948 2926 2849 2728 2614 2546 2499 2440 2351 2180 1922 1698 1649 1448 1239 1021 756 474 236 89 5 1 0 0 0 0 0 0 0 2 9 46 124 222 301 338 348 354 347 310 249 213 181 138 112 103 106 120 139 158 166 203 237 275 325 365 358 320 312 319 300 255 230 246 220 168 116 77 55 50 83 79 53 23 6 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 9 9 5 2 2 2 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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401 314 250 200 158 125 111 95 73 47 25 13 8 5 3 4 16 39 78 158 344 630 1009 1460 1904 2254 2477 2579 2626 2629 2473 2272 2181 2233 2426 2694 2906 3002 2998 2959 2946 2940 2916 2871 2788 2680 2568 2457 2309 2013 1610 1224 852 508 280 150 101 73 46 20 4 0 0 0 0 0 0 0 0 0 0 9 39 96 170 236 283 289 265 225 194 166 117 75 44 25 16 13 11 11 11 13 15 13 10 8 6 7 11 6 7 11 15 18 14 4 1 0 0 0 0 0 0 0 1 1 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 5 8 10 11 7 2 1 2 3 7 12 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0
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