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 8 7 7 8 9 10 10 10 10 11 12 12 11 11 11 10 10 9 9 8 8 8 9 9 8 8 8 8 7 7 8 8 8 8 7 6 6 7 8 7 6 5 6 7 8 7 6 6 6 5 5 6 7 7 6 7 7 8 8 7 8 9 9 10 10 9 8 8 7 7 7 7 8 9 11 12 12 13 12 12 11 10 9 10 12 12 12 11 10 10 10 9 8 7 7 8 9 10 9 8 7 7 7 7 8 9 11 12 12 11 10 10 11 10 10 9 9 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 8 9 10 10 9 9 9 9 8 8 8 7 7 7 6 5 4 4 4 5 6 6 6 6 6 6 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 nan
nan 9 8 7 6 7 8 9 10 9 9 9 10 11 11 11 10 10 9 9 8 7 7 8 8 8 8 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 6 6 6 7 8 8 8 8 7 6 5 6 7 8 7 7 8 9 9 9 9 9 10 11 11 11 10 9 8 7 7 8 9 10 10 10 10 11 11 11 11 11 11 12 13 12 11 10 10 11 10 9 9 9 9 10 11 11 10 9 9 8 8 8 9 10 11 11 11 10 9 8 8 8 8 7 7 6 6 6 7 7 7 8 9 9 9 7 7 6 6 6 6 7 7 7 8 9 11 11 10 10 9 9 9 8 8 7 7 7 7 6 5 5 5 5 6 7 7 7 6 6 6 7 7 7 7 7 7 8 8 8 7 7 7 7 6 6 6 6 6 6 7 7 nan
nan 8 8 7 7 7 8 9 9 9 8 9 9 10 10 10 10 10 9 9 8 8 7 8 8 8 7 7 7 7 7 7 7 8 8 8 8 7 7 8 8 7 6 6 6 6 7 8 9 9 8 7 6 7 8 8 8 9 10 10 11 11 10 10 10 11 12 12 12 11 10 9 9 9 9 10 10 9 9 10 10 11 11 12 13 13 13 11 10 10 10 10 9 9 9 10 11 11 11 12 11 11 11 10 9 9 10 10 10 9 9 9 8 7 6 6 6 6 6 6 5 6 7 7 8 9 10 10 10 8 7 7 6 7 7 7 7 7 8 10 11 11 11 10 10 9 8 8 7 7 8 8 8 7 7 7 7 7 7 8 8 8 7 6 6 7 7 8 7 7 8 8 8 8 8 8 7 7 6 6 6 6 7 7 8 8 nan
nan 6 7 7 7 8 9 9 9 9 8 8 9 9 9 10 10 10 10 9 9 9 8 8 8 8 7 7 7 8 7 7 6 7 8 9 9 8 8 8 8 6 5 6 7 7 6 6 8 9 9 8 8 8 8 9 9 10 12 13 13 13 12 10 9 10 11 12 13 13 12 11 11 11 11 10 9 9 10 10 11 11 11 12 13 12 12 11 11 10 10 9 9 9 10 10 10 10 10 11 12 11 11 11 10 10 9 8 8 8 8 8 8 7 5 4 4 5 6 6 6 7 7 8 9 11 11 11 10 9 8 7 7 7 7 7 7 7 8 9 11 11 11 11 10 9 8 8 7 8 8 9 9 8 7 7 8 8 9 9 9 8 7 6 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 7 7 8 8 8 nan
nan 4 5 6 7 8 9 9 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 8 8 8 8 8 7 6 5 5 8 10 10 9 9 9 8 5 4 6 7 7 6 6 7 9 9 9 9 9 9 10 11 13 14 15 15 15 14 12 10 10 10 11 13 14 13 12 12 12 11 11 9 9 10 11 11 11 11 12 12 12 12 12 11 11 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 8 7 7 7 8 8 8 7 5 4 4 5 5 6 6 7 7 8 10 11 11 12 11 10 9 8 8 7 7 7 7 7 7 9 10 11 11 11 9 8 7 7 7 8 9 9 9 8 8 8 8 8 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 nan
nan 5 5 6 7 7 8 9 9 10 10 10 9 9 8 8 9 9 10 10 11 10 10 9 9 9 8 8 8 8 7 6 4 4 7 9 10 9 9 9 8 6 4 6 7 7 6 6 8 9 10 10 10 10 11 12 13 14 15 16 16 15 15 14 12 11 11 11 12 13 12 11 11 11 11 10 9 9 9 10 10 10 11 12 12 12 12 12 12 11 10 9 10 9 9 10 10 10 9 8 8 9 9 9 8 7 7 7 8 8 8 9 8 7 6 5 5 4 5 6 7 8 8 8 9 10 10 10 10 10 9 9 8 8 8 7 7 7 7 8 10 11 11 11 10 8 8 7 8 8 9 9 9 8 8 8 8 8 8 8 7 5 5 5 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 nan
nan 6 6 7 8 8 8 8 9 9 10 10 9 9 8 8 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 7 6 6 7 9 9 9 9 10 9 7 6 6 6 6 6 7 9 10 10 10 11 11 11 12 12 13 14 14 14 13 13 13 13 12 11 11 10 10 9 9 9 9 9 9 8 8 8 9 8 9 10 11 11 12 13 13 13 11 10 10 10 10 11 11 11 10 8 8 8 8 8 7 6 5 7 9 9 9 9 9 7 6 6 5 5 5 5 6 8 9 9 9 9 9 9 9 9 10 10 10 9 9 8 7 7 7 7 8 9 10 11 11 10 10 9 8 8 9 9 9 8 8 8 8 8 8 8 8 6 5 5 5 7 8 9 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 9 9 9 9 nan
nan 7 7 8 8 8 8 8 9 9 10 10 9 9 9 9 9 9 9 9 10 9 8 8 8 9 9 9 8 8 8 8 8 7 8 9 9 9 10 10 9 8 7 6 6 6 8 9 9 10 9 9 9 9 8 8 8 8 9 10 11 10 9 9 10 9 9 8 7 6 6 6 6 7 7 8 8 8 8 8 8 8 9 10 11 12 13 13 12 11 10 10 11 11 12 12 11 10 8 8 8 8 8 7 6 7 8 9 9 9 8 7 6 5 5 6 6 7 7 8 8 9 9 10 10 9 8 8 9 10 11 10 10 9 8 7 7 7 8 8 8 9 10 11 11 11 10 9 9 8 8 8 7 7 8 8 8 8 9 8 7 6 6 7 9 10 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 9 9 9 9 nan
nan 9 9 9 9 8 8 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 7 8 8 9 9 8 8 8 8 8 8 8 9 10 10 10 9 9 8 7 7 7 8 10 10 9 8 8 7 7 5 4 4 4 4 4 5 6 5 5 5 6 6 5 5 4 3 4 4 5 6 6 7 7 8 8 8 8 8 9 10 11 12 13 13 12 11 11 11 11 11 11 11 11 10 9 9 9 9 8 8 8 9 9 9 8 8 7 6 5 6 7 7 8 8 9 9 9 9 10 10 10 9 8 8 9 10 10 9 10 9 8 8 7 7 7 7 8 8 9 10 10 11 11 11 10 9 8 7 7 7 7 8 9 9 9 9 9 8 8 9 10 10 10 9 8 8 8 8 9 9 9 8 8 8 8 8 8 8 9 9 8 8 nan
nan 12 12 12 11 10 9 10 11 11 11 10 11 11 11 11 11 10 10 9 9 8 8 8 8 8 9 10 9 9 9 9 9 9 9 10 11 11 10 10 9 8 8 8 8 9 10 10 9 8 8 7 6 5 4 4 4 3 2 2 2 2 2 3 4 4 4 4 4 4 4 4 5 6 6 7 7 7 8 8 9 9 10 11 11 13 13 13 12 11 11 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 9 9 9 8 7 6 7 8 8 9 9 9 9 9 9 9 10 10 10 8 7 7 8 9 8 8 8 9 9 8 7 6 6 6 7 7 8 8 9 11 11 11 11 10 9 8 7 8 9 10 10 10 10 10 10 9 9 8 9 10 9 8 8 8 8 8 8 8 8 7 8 8 9 8 8 8 8 8 7 7 nan
nan 14 14 15 15 14 13 13 13 13 12 11 12 12 12 12 11 11 10 10 9 8 8 8 8 9 10 11 11 11 10 10 10 10 10 11 12 11 11 10 9 9 8 8 8 9 9 9 9 8 8 7 7 7 7 7 6 4 2 1 1 1 2 3 3 4 4 5 6 5 5 6 7 7 7 7 7 8 8 8 9 10 10 10 11 12 12 12 11 11 10 10 9 10 10 11 12 11 11 11 11 11 11 11 11 11 11 11 10 9 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 8 8 8 9 9 8 7 7 8 9 9 8 7 7 6 7 7 7 7 8 10 11 11 11 11 10 8 8 9 10 12 12 11 10 10 10 9 8 7 8 9 9 8 8 9 9 8 9 8 7 7 7 8 8 8 8 8 8 7 7 6 nan
nan 14 16 17 18 17 16 14 14 14 13 13 13 13 13 12 12 11 11 10 10 9 8 9 9 10 11 12 13 12 12 11 11 11 12 12 12 12 11 11 10 9 8 7 8 8 8 8 8 8 7 7 7 8 9 9 8 6 4 2 1 2 3 4 4 4 5 6 7 7 8 8 9 8 8 8 8 8 9 9 10 9 8 7 9 10 11 12 11 10 10 10 10 10 11 11 11 11 10 10 10 11 11 11 12 12 12 12 11 9 10 11 10 10 9 8 8 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 8 9 10 10 11 10 9 9 10 11 11 11 10 10 10 9 8 7 7 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 7 6 6 nan
nan 14 16 18 18 18 16 14 13 13 13 13 13 13 12 12 12 12 12 12 11 10 10 10 11 12 13 14 14 13 13 13 12 12 13 13 13 12 11 11 9 8 7 7 7 7 7 8 8 8 7 6 6 7 8 9 8 7 5 3 3 4 5 5 5 5 6 7 9 10 10 10 10 10 9 9 10 10 10 10 10 8 7 7 7 8 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 12 12 11 10 9 10 11 11 10 9 8 8 8 8 8 7 7 6 6 7 8 8 8 7 8 9 9 8 8 7 7 8 8 8 8 8 7 6 6 6 6 7 8 9 9 10 10 10 10 11 11 11 10 10 10 9 8 7 8 8 9 8 9 9 10 9 9 9 9 9 8 8 8 7 7 8 8 8 7 7 7 nan
nan 15 16 17 16 14 13 11 12 12 13 13 12 12 12 12 12 12 13 13 12 12 12 13 14 14 15 15 15 14 14 14 13 13 13 14 14 13 12 10 9 8 7 7 7 6 7 8 8 7 6 6 6 7 9 10 10 8 6 4 5 6 7 7 6 6 7 9 10 11 11 11 11 11 11 11 11 11 11 11 11 10 8 7 6 6 7 8 10 11 11 10 10 9 9 8 8 8 8 8 8 8 8 9 9 10 10 9 8 8 9 10 10 10 9 8 8 8 8 7 7 6 6 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 6 7 7 7 8 8 9 10 10 10 11 11 11 10 9 8 8 8 8 7 8 9 9 9 9 10 10 9 8 9 8 8 8 8 8 9 8 8 8 nan
nan 16 15 14 13 12 11 11 12 12 13 13 14 13 13 13 13 14 14 14 14 15 16 17 17 17 16 16 16 15 15 15 15 14 15 15 15 14 13 12 11 10 8 7 6 6 8 10 10 9 9 9 9 9 10 12 12 10 7 5 5 6 7 7 7 7 9 10 10 10 10 11 11 11 12 12 12 12 12 13 12 11 9 7 6 6 6 8 10 12 11 10 9 8 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 9 9 9 8 7 7 7 6 6 7 8 8 8 8 8 8 9 10 9 8 8 8 8 8 8 8 8 8 8 7 6 6 7 6 6 6 6 6 6 7 7 8 8 8 8 10 11 11 11 10 8 8 8 8 7 7 8 8 8 9 10 10 9 8 8 8 8 8 8 9 9 10 10 9 nan
nan 16 15 14 14 14 14 14 14 14 14 14 15 15 14 14 14 15 15 16 16 17 19 20 20 19 18 18 17 17 16 16 16 16 16 16 16 15 14 13 12 11 9 8 7 7 9 12 13 12 13 13 13 13 13 14 14 11 8 5 5 5 5 6 7 9 10 11 10 9 9 10 10 11 12 12 13 13 13 12 12 11 11 10 10 9 9 9 10 11 11 9 8 6 6 6 6 6 6 7 7 6 6 6 6 7 7 7 7 7 7 8 8 8 8 7 7 6 6 7 8 9 9 10 9 9 8 9 9 9 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 9 10 11 10 9 8 8 8 8 7 7 6 7 8 9 9 9 8 8 8 8 8 8 8 9 10 10 10 nan
nan 18 17 17 16 16 16 15 15 14 14 14 14 14 14 13 14 14 15 15 16 17 19 19 19 18 18 18 17 16 16 16 16 16 15 15 15 15 14 13 12 10 9 9 9 10 12 13 14 14 15 15 15 16 17 18 16 12 9 7 5 5 5 6 8 10 11 11 10 9 8 9 10 10 11 11 12 13 12 11 10 11 12 13 13 12 11 9 8 9 8 8 6 5 5 5 5 6 6 7 7 7 7 6 7 7 7 7 7 7 8 8 8 8 8 7 6 6 7 9 10 10 10 10 10 9 9 9 8 8 8 9 10 10 10 9 8 8 8 9 9 9 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 9 9 8 6 5 6 7 8 8 7 7 6 6 7 7 7 8 9 10 10 10 nan
nan 18 17 16 15 14 13 13 13 12 12 12 12 12 12 11 11 12 13 13 14 15 16 17 17 17 17 16 16 16 16 15 15 14 13 13 14 13 13 12 11 11 11 12 12 13 14 14 14 15 15 16 16 17 19 20 17 14 11 10 9 7 6 7 9 11 12 11 10 8 8 9 9 10 11 12 12 11 10 9 9 9 9 10 11 10 8 6 4 4 4 5 5 5 5 5 6 7 7 7 7 8 8 7 7 7 7 8 7 8 8 7 7 7 7 7 7 8 9 10 11 11 10 10 9 9 8 8 8 8 8 9 10 10 10 9 8 8 8 9 9 9 8 8 8 8 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 10 10 10 9 8 6 5 6 6 7 7 6 6 6 6 6 6 6 7 8 9 9 9 nan
nan 15 14 13 12 11 11 11 11 11 11 11 11 11 11 10 9 9 10 11 13 14 15 16 17 17 17 16 16 16 15 15 14 12 12 11 11 10 10 10 10 11 13 14 14 15 15 15 15 15 15 15 15 16 18 19 18 16 15 14 14 13 12 11 11 12 12 11 9 8 7 8 10 11 12 13 12 11 9 8 8 7 5 4 4 4 4 2 1 0 1 2 3 4 5 6 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 11 10 10 9 8 8 8 8 8 8 8 9 9 9 9 8 8 9 9 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 8 8 8 9 10 10 10 9 8 7 7 6 6 6 6 5 5 6 6 6 6 6 7 8 8 8 7 nan
nan 12 11 11 11 10 10 10 11 11 11 12 12 12 11 10 8 8 9 10 12 13 14 16 16 17 17 16 16 16 16 15 13 12 11 10 9 8 7 7 8 9 12 12 13 14 15 15 15 15 14 14 15 16 17 18 19 19 19 19 21 22 22 20 17 15 13 11 8 6 7 8 10 12 13 13 12 11 10 10 9 8 6 4 3 3 3 2 2 1 1 1 2 3 5 6 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 7 8 8 9 9 9 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 6 6 6 6 6 6 7 7 6 6 6 7 7 7 7 nan
nan 10 10 10 10 10 10 11 11 12 12 13 13 13 12 10 9 8 9 10 12 13 14 15 15 16 15 15 15 15 15 14 12 11 10 8 7 7 6 6 5 6 8 10 11 12 13 14 14 14 13 14 14 15 17 18 19 20 21 23 25 27 28 27 24 20 16 13 11 9 9 9 11 12 12 12 12 13 13 13 12 12 10 7 5 5 5 4 4 4 3 3 3 3 4 5 6 7 7 8 8 8 7 7 7 7 7 7 8 8 7 6 5 5 7 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 8 8 7 7 6 6 6 6 6 7 7 8 7 6 6 6 6 6 7 8 nan
nan 9 10 10 10 10 11 11 12 12 13 13 14 14 13 11 10 9 10 11 12 13 13 14 14 14 14 13 13 13 13 12 11 10 9 8 7 7 7 7 6 6 7 8 9 10 11 12 12 12 12 13 14 15 16 17 18 20 21 22 24 25 25 25 24 22 20 17 16 16 15 14 13 12 12 12 13 14 15 16 16 15 11 8 7 7 6 6 6 6 6 5 5 5 5 6 6 7 7 8 8 7 6 6 7 7 7 8 8 7 6 5 5 6 8 8 8 8 7 7 8 8 8 8 7 7 7 7 8 8 9 9 9 8 8 7 8 9 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 7 6 6 5 5 5 6 7 8 9 8 8 8 7 7 6 7 8 8 nan
nan 10 10 10 10 10 11 12 12 13 13 13 13 13 13 12 10 10 10 11 12 13 13 14 14 14 13 13 13 13 12 12 11 10 9 9 8 8 9 9 8 9 8 8 8 9 10 11 11 11 11 12 12 13 14 15 16 17 18 19 19 20 19 18 18 18 18 17 17 18 17 15 13 13 12 11 12 14 15 17 17 14 11 10 9 9 8 8 8 7 7 7 7 7 7 7 6 7 8 8 6 5 5 6 6 7 7 7 7 6 5 5 7 8 9 9 8 7 7 7 7 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 5 5 5 6 7 8 9 9 9 9 8 7 7 8 8 9 nan
nan 11 11 10 10 10 11 12 12 13 13 13 13 13 12 12 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 12 12 11 11 11 10 10 10 10 10 11 10 10 10 10 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 14 15 15 14 13 13 12 12 11 11 11 9 9 9 12 14 15 13 11 11 11 9 9 9 9 8 7 7 7 8 7 7 7 8 9 8 5 5 6 6 7 7 7 6 5 5 6 7 9 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 7 7 6 7 8 9 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 7 6 6 6 6 6 7 7 8 8 9 9 9 8 8 8 8 9 9 nan
nan 11 11 11 11 11 11 11 11 12 12 13 13 12 12 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 12 13 12 12 11 10 10 10 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 11 12 13 12 10 8 7 7 8 9 8 6 5 5 6 9 11 10 10 11 11 10 9 9 9 8 7 7 7 7 7 7 8 10 10 7 6 6 6 7 7 7 6 5 5 6 7 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 8 9 10 9 8 8 9 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 7 7 7 7 8 9 9 8 8 7 8 9 9 10 nan
nan 11 11 10 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 12 12 12 12 12 10 9 9 9 9 9 9 10 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 9 9 8 8 9 10 10 11 11 10 8 5 3 3 5 5 4 3 2 2 4 6 7 8 9 10 10 9 8 9 8 7 7 7 7 7 8 9 11 11 9 7 6 6 6 7 7 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 9 10 9 8 8 8 8 7 6 7 8 9 9 8 7 7 7 8 8 9 9 10 10 9 9 8 8 8 7 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 8 9 9 9 9 8 8 8 9 9 10 nan
nan 11 11 10 10 10 11 11 11 10 10 11 11 11 11 11 10 10 10 11 11 11 12 12 12 13 13 13 13 13 12 12 11 11 11 10 9 9 9 9 9 10 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 11 11 11 10 9 8 5 1 -1 -1 1 2 1 1 1 3 5 6 7 8 9 9 8 7 8 9 8 7 7 8 8 8 9 11 11 10 8 6 6 5 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 8 7 7 9 9 7 6 7 8 10 10 8 8 7 7 8 8 9 10 10 10 10 9 8 8 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 8 9 10 10 9 9 8 8 9 9 10 nan
nan 11 11 10 10 10 10 11 10 10 10 10 11 11 11 11 10 10 10 10 11 11 12 12 12 13 13 14 14 14 13 12 11 11 11 10 10 9 9 9 10 10 11 12 12 12 11 11 11 11 10 10 10 10 10 10 10 11 10 11 11 12 13 12 11 8 6 5 2 0 0 2 2 2 -0 0 2 4 6 6 6 8 8 8 8 7 8 9 8 8 8 8 8 9 10 11 11 9 7 5 5 5 6 6 6 6 6 7 7 8 8 9 10 10 9 9 8 8 8 8 9 9 9 8 8 8 9 9 9 9 8 8 8 7 7 8 10 10 9 7 7 8 9 9 9 8 8 8 7 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 8 9 9 9 9 9 8 9 9 9 10 nan
nan 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 11 11 12 12 13 13 13 14 14 13 12 12 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 11 11 11 11 12 12 11 8 5 2 1 1 2 5 8 8 4 1 1 4 5 5 5 6 7 7 8 7 7 8 9 8 8 8 8 8 8 9 10 10 9 7 5 5 5 6 6 5 5 6 7 8 9 10 11 11 10 9 9 8 8 8 8 9 10 10 9 8 8 8 9 9 9 8 8 7 7 7 9 11 12 10 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 nan
nan 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 12 12 12 13 13 13 13 13 13 12 11 11 10 10 10 9 10 10 11 11 11 11 10 10 11 11 11 10 10 9 9 9 10 11 12 12 11 11 11 10 8 5 2 2 2 3 6 9 10 8 4 2 3 5 5 5 5 6 7 7 7 7 8 8 8 8 8 8 8 7 7 8 9 10 10 8 6 6 6 6 5 5 5 7 8 9 9 10 10 10 10 9 8 8 8 8 9 9 10 10 9 8 7 8 9 10 9 8 7 7 8 9 10 12 12 11 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 10 10 10 11 11 11 10 10 9 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 9 8 9 9 9 nan
nan 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 12 12 12 12 12 13 13 12 12 11 11 11 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 12 12 12 12 12 12 10 7 5 5 6 7 7 8 8 8 5 3 4 6 6 6 6 6 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 9 8 7 6 6 6 5 6 8 9 10 10 10 9 9 9 9 9 8 8 9 9 9 9 10 10 9 8 7 7 9 10 10 9 8 8 9 10 12 12 11 10 10 10 11 11 10 9 9 10 10 9 9 9 9 9 9 10 10 11 11 12 12 12 12 11 11 10 9 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 nan
nan 9 9 8 8 8 9 9 9 10 10 11 10 10 9 9 9 9 9 9 9 9 9 10 11 12 12 12 12 12 13 13 12 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 10 11 12 13 13 14 13 11 10 9 10 10 10 9 8 7 6 4 5 7 8 8 8 7 8 9 9 8 8 8 8 8 9 10 10 9 9 9 10 11 11 10 9 8 7 7 7 6 7 8 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 9 8 7 7 9 10 10 10 9 9 10 12 12 12 11 10 10 11 12 11 11 10 10 11 11 11 11 11 10 10 10 11 11 12 12 12 13 13 13 12 11 10 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 9 9 9 9 9 9 nan
nan 9 8 8 8 8 8 8 9 9 10 10 10 9 9 8 8 9 9 9 8 9 9 10 10 11 12 12 12 12 12 13 13 13 13 12 11 10 10 10 11 11 10 10 9 8 8 8 8 7 7 7 8 8 8 10 11 12 13 14 14 13 12 12 13 13 11 9 8 7 7 7 7 8 9 10 10 9 8 8 9 9 9 8 8 8 9 11 11 11 10 10 9 10 11 11 9 8 7 7 7 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 8 9 9 9 9 8 7 7 8 9 10 10 10 10 10 12 12 12 12 11 11 12 13 12 12 11 11 12 13 13 13 13 12 11 11 10 11 11 11 12 12 13 13 12 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 9 9 9 nan
nan 9 8 8 8 8 8 8 8 9 9 10 10 9 8 8 8 8 8 9 9 8 8 9 9 10 11 12 12 12 12 13 14 14 14 12 11 10 11 11 12 11 12 12 10 9 9 9 8 8 8 8 8 8 8 10 11 12 13 13 13 12 12 13 14 14 13 11 10 10 10 10 11 11 12 12 11 10 9 8 8 9 9 8 8 9 10 12 12 12 11 10 10 11 11 9 8 7 7 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 9 10 10 9 7 7 8 9 9 10 10 10 11 12 13 13 13 13 13 13 13 12 12 11 11 11 12 12 12 13 13 13 11 10 10 10 10 10 10 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 9 9 9 9 9 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 9 8 8 8 9 9 10 11 12 12 12 13 14 14 13 12 11 11 12 12 11 11 12 11 11 11 10 10 10 10 10 9 8 8 8 10 11 12 12 12 12 12 11 12 13 14 15 15 14 14 14 13 13 13 13 12 12 11 10 9 9 9 9 8 9 10 11 12 12 12 11 11 12 11 10 8 7 7 8 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 11 10 9 9 9 11 11 10 9 9 10 10 11 11 12 12 12 12 12 12 12 11 11 12 12 11 11 10 9 9 9 9 10 11 12 12 11 9 9 8 8 8 9 9 10 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 8 8 9 9 9 9 nan
nan 8 8 8 8 8 8 8 8 7 8 8 9 9 8 8 8 8 8 8 9 8 8 8 8 8 9 10 10 11 12 12 12 12 12 11 11 12 12 11 10 10 11 11 10 10 11 11 13 13 12 10 9 8 8 9 10 11 11 11 11 11 11 11 12 13 15 16 16 16 15 14 12 11 11 11 11 10 10 10 10 10 9 9 10 10 10 10 10 10 11 12 12 10 8 7 8 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 11 12 12 12 12 11 10 10 11 11 11 11 12 12 13 13 12 12 12 12 12 12 11 9 8 9 9 10 10 9 8 7 7 6 6 6 8 10 10 10 9 8 8 7 8 8 8 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 nan
nan 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 7 7 8 9 8 8 7 7 7 8 9 10 11 11 11 11 11 11 11 11 12 11 10 9 9 10 10 10 10 11 12 14 15 13 11 10 9 9 8 9 10 10 10 11 11 11 11 11 12 13 14 14 14 14 12 10 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 11 12 11 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 11 12 13 14 14 13 12 11 11 11 12 12 13 13 13 13 12 11 10 11 11 10 9 7 7 7 8 8 9 9 8 7 7 6 5 5 7 8 9 10 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 10 10 10 11 11 10 10 9 9 nan
nan 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 7 7 8 8 7 7 7 7 8 9 9 9 10 11 10 10 10 10 10 10 11 10 9 8 8 9 9 10 11 11 12 14 14 13 12 11 10 9 8 8 9 10 10 10 11 11 11 11 12 12 13 12 12 11 10 9 9 9 9 10 11 11 11 10 10 9 9 9 10 10 10 11 11 12 12 10 9 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 11 12 13 14 15 15 14 13 12 12 12 12 12 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 8 8 8 8 7 6 6 7 8 9 10 11 10 9 9 8 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 10 9 nan
nan 7 7 7 7 8 8 7 7 7 7 7 8 8 8 8 7 7 8 8 8 8 9 9 9 8 8 8 8 9 10 9 9 8 8 8 9 9 8 8 8 8 8 9 10 10 11 11 13 13 13 12 12 12 11 9 8 8 9 9 10 11 11 11 11 12 12 12 12 11 10 10 9 9 9 9 10 11 11 11 11 11 10 10 10 11 11 11 11 12 12 11 10 9 9 8 9 9 8 8 8 8 8 8 8 8 9 9 10 10 11 12 13 13 14 15 16 16 15 15 14 13 13 12 11 9 7 6 6 6 7 8 8 9 9 9 10 10 10 10 10 9 9 8 9 9 9 8 7 7 8 9 10 11 11 11 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 9 nan
nan 7 7 7 7 7 7 7 6 6 7 7 8 8 8 7 6 6 8 9 9 10 10 10 9 8 7 7 7 8 8 8 7 7 7 7 8 8 7 7 8 8 8 9 9 10 10 10 11 12 12 12 12 13 12 11 9 8 8 9 10 11 11 11 11 11 11 12 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 12 13 14 14 15 15 15 15 15 14 14 14 13 12 10 7 6 6 6 6 7 8 9 10 10 10 10 10 10 9 9 9 8 8 8 9 8 8 7 7 7 8 9 10 11 10 9 8 8 8 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 10 9 nan
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nan 11 11 10 10 10 10 10 10 9 8 7 6 6 7 7 8 8 8 8 8 9 9 9 10 10 10 9 9 8 7 7 7 8 8 9 10 10 11 11 11 11 11 11 11 12 12 12 12 13 13 12 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 9 9 10 10 11 11 12 12 12 12 11 11 11 12 12 11 10 9 9 8 8 8 8 8 7 7 6 7 8 8 8 9 8 8 8 7 7 7 7 7 6 7 8 9 9 8 7 6 5 5 6 8 9 10 10 10 10 12 14 14 13 11 9 8 8 9 11 12 12 12 11 10 11 13 13 13 11 10 9 9 10 11 13 14 14 13 12 11 10 8 7 6 7 9 10 12 14 15 16 16 15 14 13 13 13 13 13 11 10 10 9 9 10 10 nan
nan 12 11 11 10 10 10 9 9 8 7 6 7 8 8 9 9 9 9 8 8 8 8 9 9 10 9 8 8 7 7 7 7 8 9 10 11 11 11 11 10 9 9 9 10 10 10 11 11 12 12 11 11 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 11 12 12 12 11 10 9 9 9 9 9 9 8 8 7 7 7 8 8 8 9 9 9 9 9 8 8 8 7 7 7 7 8 9 9 7 6 6 6 7 8 9 10 10 10 11 13 14 14 12 11 11 10 9 10 11 12 12 12 10 10 12 14 14 13 11 9 10 11 12 13 15 16 15 13 12 10 8 6 6 7 8 10 11 12 14 15 16 16 15 14 13 13 13 13 13 11 10 10 9 9 9 9 nan
nan 12 12 12 11 10 10 9 8 7 7 7 8 10 10 10 10 10 9 8 7 7 8 8 9 10 9 8 7 7 7 7 8 9 10 11 11 11 11 10 9 8 8 7 8 8 9 10 11 12 12 11 11 10 9 9 9 9 10 10 10 10 11 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 11 12 13 12 11 10 10 9 9 9 9 9 8 8 8 7 7 7 8 8 8 9 9 10 10 10 9 9 8 7 7 7 7 7 8 8 7 6 6 6 7 9 10 10 11 11 12 13 13 13 12 12 12 10 9 9 10 11 12 12 11 11 12 13 13 11 9 9 10 12 13 14 16 17 16 15 13 10 9 8 8 8 9 10 11 12 14 15 16 16 15 14 14 13 13 13 12 11 10 9 8 8 8 8 nan
nan 12 12 12 11 10 9 8 7 7 7 8 9 10 10 10 9 9 9 8 8 8 8 9 10 11 10 8 7 7 8 8 9 9 10 11 11 11 10 10 9 8 7 7 7 7 9 10 12 13 12 12 11 10 9 9 10 10 10 10 11 11 11 11 10 10 10 10 9 9 9 9 9 10 10 11 12 12 12 11 11 12 12 13 13 12 11 10 10 9 9 8 7 7 7 7 8 8 8 7 8 8 8 8 9 10 10 11 10 9 8 7 7 6 6 6 8 8 8 7 5 6 7 9 10 11 11 11 12 12 12 12 12 12 12 11 10 9 9 11 12 12 12 11 12 11 10 9 9 9 11 12 14 15 16 16 16 15 13 11 10 9 9 9 9 10 11 13 15 16 17 16 15 15 14 13 12 12 10 9 9 9 8 8 8 8 nan
nan 12 12 11 10 9 8 7 7 7 8 9 9 9 9 8 8 8 8 9 9 10 10 11 12 13 12 11 10 9 9 9 9 9 10 10 11 11 11 10 10 9 8 8 8 8 9 11 13 13 13 12 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 9 9 8 8 9 9 10 10 11 12 13 13 13 13 13 13 13 12 12 11 11 10 10 9 8 7 6 6 7 8 8 8 8 7 8 8 8 8 9 10 10 10 9 8 7 6 6 6 6 8 8 8 6 5 5 7 9 11 12 11 11 10 10 11 12 13 13 12 11 10 10 10 11 13 12 12 11 11 10 9 9 9 11 12 13 14 14 14 14 12 11 10 9 8 8 8 8 9 11 13 15 17 18 18 17 16 15 14 13 11 10 9 8 8 8 8 7 7 8 nan
nan 11 10 9 8 7 7 7 8 8 9 9 8 8 8 8 8 8 9 10 11 12 12 13 14 15 15 13 12 10 9 9 8 8 9 9 10 10 11 11 11 10 10 10 10 10 11 12 13 13 12 11 11 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 8 8 8 9 9 10 11 12 13 14 14 13 13 12 12 11 11 11 10 10 9 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 10 10 9 9 8 7 6 5 6 7 8 9 8 6 4 4 6 9 11 11 10 9 8 9 10 12 14 14 13 11 11 11 11 12 12 12 11 11 10 10 9 9 10 12 12 13 12 12 11 10 8 6 6 6 6 6 7 9 11 13 15 17 18 19 18 17 16 15 13 12 10 9 8 7 7 6 5 5 5 8 nan
nan 10 9 8 7 7 7 8 8 9 9 9 8 8 8 9 9 10 11 12 12 13 13 14 15 16 15 14 12 10 8 7 7 7 8 8 9 10 11 11 11 12 12 12 13 13 13 13 13 12 12 11 11 10 10 10 10 9 9 10 10 10 11 11 10 10 9 8 8 8 9 9 10 10 10 11 12 12 13 13 12 11 11 10 9 9 9 9 9 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 6 5 5 6 8 8 8 8 7 5 5 7 9 10 10 9 8 7 8 11 14 15 15 13 12 12 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 9 8 6 4 3 3 5 6 8 10 12 14 16 17 18 18 17 16 15 14 13 11 9 8 7 7 6 5 3 3 7 10 nan
nan 9 8 7 7 8 8 9 9 9 9 9 9 9 9 10 11 12 12 13 12 12 13 14 14 14 13 11 9 7 6 6 7 7 7 7 8 9 10 11 12 13 14 14 15 15 14 13 12 12 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 8 8 9 9 10 11 11 11 11 11 11 11 11 11 10 9 8 8 7 7 7 7 7 7 8 8 9 9 9 10 10 10 10 9 9 9 10 10 10 11 10 10 8 7 6 6 6 7 7 7 7 8 8 8 9 9 10 10 8 7 6 6 9 13 15 16 14 12 12 13 13 11 10 10 10 10 9 9 10 10 10 11 10 10 10 9 9 8 7 5 2 1 2 5 7 9 11 12 14 15 15 16 16 16 15 15 14 13 12 10 8 6 6 5 4 4 8 12 15 nan
nan 9 8 8 9 9 9 9 9 9 9 10 10 10 10 11 11 12 12 12 11 11 11 12 12 11 9 7 6 5 5 6 7 7 8 8 8 9 10 11 12 13 14 15 15 14 13 12 12 11 11 10 9 8 8 8 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 10 11 11 11 11 10 10 10 10 10 10 9 8 8 8 8 8 7 7 8 8 9 9 9 10 10 10 10 9 9 9 9 9 10 11 11 11 9 8 6 6 7 8 9 8 8 8 8 9 10 11 11 10 8 7 6 6 7 10 13 15 14 12 10 11 11 10 10 10 10 10 9 9 9 10 10 10 10 10 10 9 8 8 7 6 4 2 1 2 5 8 10 11 12 12 13 13 14 14 15 15 16 16 14 11 9 7 5 4 4 5 8 13 17 17 nan
nan 8 8 9 9 10 10 9 9 10 10 10 10 11 11 11 11 11 11 10 10 9 10 10 10 8 6 4 4 5 6 7 7 8 8 9 10 10 11 12 13 14 15 15 14 13 12 11 10 10 10 9 8 7 7 8 8 8 8 9 9 9 10 10 10 10 10 10 10 9 9 10 11 11 11 10 9 9 9 9 9 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 9 9 8 8 8 9 10 11 11 10 9 7 7 7 8 10 12 13 11 10 9 9 10 11 11 10 7 6 6 7 9 11 13 13 11 9 8 8 8 8 11 12 12 11 9 9 10 10 10 10 11 10 10 8 7 7 7 6 4 1 1 3 6 9 10 11 11 12 12 12 13 14 16 17 18 17 13 9 6 5 4 5 6 9 12 15 17 17 nan
nan 7 8 9 10 10 10 10 10 10 11 11 11 10 10 10 10 9 9 9 8 9 9 9 8 7 5 4 4 6 7 8 9 9 9 10 11 11 12 13 14 15 15 15 14 12 11 10 10 9 9 8 8 8 7 8 8 8 8 9 10 11 12 12 12 12 12 12 12 11 11 11 11 11 11 10 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 9 8 7 7 9 10 11 11 10 9 8 7 8 9 11 13 14 14 13 12 10 9 10 10 8 6 5 6 8 10 11 11 11 9 7 7 6 7 10 14 16 15 12 11 11 11 11 11 11 11 10 9 8 8 9 9 7 3 1 1 4 7 9 10 11 11 12 12 12 13 15 17 19 20 17 11 7 4 3 4 7 9 11 14 16 17 16 nan
nan 7 8 8 9 10 10 10 10 10 10 10 10 9 9 8 7 7 7 8 8 8 9 9 8 7 6 5 6 7 8 9 9 9 10 11 12 13 13 13 14 15 15 15 14 13 12 11 11 9 8 8 8 8 8 8 8 7 7 8 9 11 12 12 13 14 14 14 13 12 12 11 11 11 11 10 9 8 8 8 8 8 9 9 9 9 8 8 8 9 9 8 8 8 8 9 10 11 11 10 8 7 8 9 10 11 11 11 10 9 9 9 9 10 12 13 14 14 14 13 10 9 7 5 4 4 6 8 10 10 10 10 9 8 7 6 8 14 17 17 15 14 13 13 13 12 11 11 10 10 8 8 8 9 8 5 1 -0 1 5 9 10 11 12 12 13 13 14 14 16 17 17 16 13 8 5 4 4 7 9 11 13 16 17 18 16 nan
nan 8 8 9 9 10 10 10 10 10 9 9 8 7 7 6 6 6 7 8 8 9 9 9 9 8 7 7 8 8 9 9 9 10 10 11 13 13 13 13 14 15 15 15 14 13 12 12 11 10 9 8 8 8 8 8 8 8 7 8 9 10 11 12 12 13 14 13 12 12 11 11 11 11 11 10 9 9 8 8 8 9 9 9 9 9 8 9 9 10 10 9 9 9 9 9 10 11 11 10 8 8 8 10 11 11 11 11 11 10 10 10 9 10 12 13 14 15 16 14 11 8 5 3 4 5 7 9 10 10 10 10 9 8 8 8 11 15 16 16 15 15 14 14 12 11 11 10 10 9 7 6 5 5 3 -0 -2 -0 3 8 10 12 12 13 13 14 15 16 16 16 15 12 9 6 4 4 5 8 10 12 13 15 17 18 17 15 nan
nan 9 9 9 9 9 9 9 9 8 7 6 6 5 5 6 6 8 9 9 9 10 10 10 10 9 8 8 8 8 9 9 10 10 11 12 13 13 13 13 14 15 15 14 13 12 12 12 11 10 10 9 8 8 9 9 8 8 8 9 9 10 11 11 12 12 12 12 11 11 10 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 9 9 9 9 9 9 9 9 8 8 9 9 10 10 10 10 10 9 9 9 9 10 11 12 12 13 14 13 10 7 4 4 6 7 8 9 10 11 11 10 9 9 9 10 12 13 14 14 15 16 15 13 11 11 10 10 8 6 4 2 2 1 1 0 2 4 8 11 12 13 13 14 15 17 18 19 19 17 14 9 6 4 4 5 8 11 13 14 16 18 19 19 16 13 nan
nan 9 9 9 9 9 9 8 7 6 5 5 5 5 7 8 9 10 11 11 11 10 10 10 11 10 10 9 9 9 9 9 10 11 11 12 13 13 13 14 14 15 15 14 13 12 12 12 11 10 9 8 8 8 9 8 8 8 9 9 10 10 11 11 12 12 11 11 10 10 10 10 10 10 9 9 9 8 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 10 9 9 8 7 7 7 8 9 9 10 9 9 9 9 9 8 8 9 9 10 11 11 11 11 12 11 10 8 6 6 8 9 9 10 12 12 11 9 9 9 10 11 11 11 12 14 17 18 16 14 12 10 9 7 5 2 0 -0 1 3 5 7 9 11 12 13 14 15 16 17 18 19 21 21 21 18 15 11 8 7 8 9 11 13 14 17 19 20 19 17 15 12 nan
nan 9 8 8 8 8 8 8 7 6 5 6 7 8 9 10 11 12 12 11 11 10 10 11 11 11 11 11 11 10 10 10 10 10 10 12 13 14 14 14 15 15 14 13 13 13 13 12 12 10 9 8 8 8 8 8 8 8 9 9 10 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 10 9 7 6 7 8 10 10 9 8 8 8 8 8 8 8 9 9 10 10 11 11 10 10 10 9 8 8 8 9 9 11 13 14 13 11 9 9 10 11 11 10 10 11 15 19 19 17 14 11 7 5 3 1 1 1 3 6 10 13 14 15 14 15 15 17 18 19 19 20 20 20 20 19 17 15 12 10 9 9 10 12 14 16 18 19 19 17 15 13 12 nan
nan 9 8 7 7 7 7 8 8 7 8 8 9 10 10 11 11 11 11 11 10 10 11 12 13 13 14 14 14 13 11 10 9 9 9 10 13 14 15 15 16 15 14 13 13 13 13 13 12 11 9 8 8 8 8 8 9 9 9 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 8 7 8 8 8 9 8 8 8 9 9 10 10 10 10 10 11 11 11 11 9 8 7 7 9 10 10 8 7 7 8 8 8 8 9 9 9 10 10 10 10 10 9 10 10 10 10 10 10 10 13 16 15 12 9 8 10 11 12 11 10 10 12 15 17 17 16 13 8 4 3 3 4 6 7 10 14 17 19 18 16 16 17 19 21 21 20 20 19 17 15 14 13 12 10 9 8 8 10 12 14 16 18 18 17 15 14 12 12 12 nan
nan 8 6 6 6 6 8 8 9 9 9 10 10 9 9 9 10 10 10 10 11 11 11 12 14 15 16 16 15 13 12 11 10 10 10 11 12 13 15 16 17 17 15 14 14 13 13 12 12 11 10 9 8 8 9 9 9 10 10 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 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 7 9 10 10 8 7 7 7 8 8 9 9 10 10 10 10 10 10 9 9 10 10 11 11 10 10 11 14 15 13 11 9 10 13 14 14 12 11 12 13 15 17 18 17 13 9 7 8 10 12 14 16 18 21 22 20 17 15 17 19 20 19 18 17 15 13 11 10 9 9 8 8 7 8 10 13 16 17 18 17 15 13 12 12 11 12 12 nan
nan 6 5 5 5 6 8 9 9 10 10 9 9 8 7 8 9 9 9 10 11 12 13 13 15 16 16 15 14 12 12 11 12 13 13 12 11 12 13 15 17 18 17 15 14 14 13 12 11 11 10 10 9 9 9 10 10 11 11 11 11 10 10 10 10 10 9 9 9 10 10 11 11 10 10 9 9 9 9 9 8 8 8 8 9 10 10 10 10 10 10 9 8 8 8 8 8 7 7 7 9 10 9 8 7 7 7 8 9 9 9 10 10 11 11 10 10 9 9 10 10 10 10 10 11 12 13 12 12 10 11 13 15 15 14 13 13 14 16 18 20 20 19 15 13 13 14 16 18 19 19 20 21 19 15 12 12 13 14 14 13 12 11 10 9 8 7 8 9 11 11 12 13 15 17 17 17 17 15 13 12 11 11 12 12 12 nan
nan 4 4 4 6 8 9 9 9 9 9 9 8 7 7 7 8 9 10 10 11 13 14 14 15 14 13 12 11 10 11 12 13 14 14 12 11 10 12 14 16 17 16 16 15 15 13 12 11 10 10 10 10 10 10 10 11 11 11 11 11 10 9 9 8 8 8 7 7 8 10 11 12 11 10 10 10 10 10 9 9 8 8 9 9 10 10 10 11 10 10 10 9 8 8 7 7 7 7 7 8 9 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 11 12 13 14 14 13 12 13 15 17 19 19 18 17 15 15 15 16 17 17 17 17 17 15 12 9 8 9 11 12 12 12 11 11 10 10 10 11 12 13 13 14 15 16 17 16 15 15 14 12 11 11 10 11 12 12 12 nan
nan 4 4 6 7 9 9 9 9 9 9 8 7 7 7 7 8 9 10 12 12 14 14 14 13 11 10 9 9 10 11 12 13 12 12 11 11 11 13 14 15 15 15 15 15 15 14 13 11 11 10 9 9 10 10 10 10 10 11 11 11 10 9 8 7 7 6 6 6 7 9 11 12 12 11 10 10 10 10 10 10 9 10 10 10 10 11 11 11 11 11 10 10 9 8 7 6 6 6 7 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 11 11 11 11 11 11 11 11 11 12 14 15 15 14 13 12 12 13 13 13 13 14 13 13 12 11 10 10 10 12 14 15 16 16 16 16 15 15 15 15 15 14 14 13 14 14 13 13 12 12 11 11 11 11 11 11 11 11 11 nan
nan 6 7 8 9 10 9 9 9 9 8 8 8 8 8 8 8 9 10 12 14 14 14 12 10 9 8 8 9 10 12 12 12 12 11 11 12 14 16 16 16 15 15 14 14 14 14 13 12 11 10 9 9 9 9 10 10 10 10 10 10 10 10 8 7 6 6 6 6 7 8 10 12 12 11 10 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 9 8 7 6 5 6 6 7 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 10 10 10 10 11 11 11 11 11 11 11 10 10 9 10 10 10 11 12 12 11 11 10 10 11 11 11 11 12 12 11 10 11 12 14 15 16 16 16 16 17 17 17 17 16 16 15 14 13 12 12 12 11 11 11 11 10 10 10 10 11 11 11 11 11 10 nan
nan 8 10 11 11 10 9 9 9 9 8 9 9 9 9 8 7 8 11 13 14 14 12 10 9 9 9 9 10 11 12 12 12 11 11 12 13 15 16 16 15 15 14 13 12 13 13 13 13 12 10 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 8 7 7 8 9 10 11 11 10 10 9 9 9 9 10 10 11 11 12 12 11 11 10 10 10 11 11 10 9 8 6 5 5 6 7 8 9 10 9 9 9 9 8 8 8 9 9 9 10 10 10 10 10 10 9 9 9 8 9 10 11 11 11 11 11 10 9 9 9 10 10 10 11 10 10 9 9 9 9 10 10 11 12 12 12 12 12 13 14 14 14 14 14 14 14 14 14 14 14 13 13 12 11 12 12 12 11 11 10 10 10 10 10 11 11 11 12 12 12 10 nan
nan 11 12 12 12 11 9 9 8 9 9 9 10 9 9 7 6 8 10 13 13 12 10 9 9 10 11 11 10 10 11 11 12 11 12 12 12 12 13 13 14 14 14 13 12 12 12 12 13 13 12 11 11 10 10 10 9 9 8 8 8 9 10 11 11 10 10 9 9 9 10 11 11 11 10 9 9 9 9 9 9 9 10 11 11 11 10 10 9 9 9 10 10 11 10 9 7 5 4 5 7 8 9 10 10 10 9 9 8 8 8 8 9 9 9 10 10 10 9 8 7 6 5 5 6 8 9 10 10 10 10 10 9 9 9 8 9 9 10 10 9 7 6 7 9 11 12 13 13 13 12 12 12 12 12 12 11 11 11 12 11 11 11 11 11 11 11 11 11 11 12 12 11 11 10 10 10 11 11 11 12 12 12 13 12 11 nan
nan 12 12 12 12 11 10 9 9 9 9 9 9 8 7 6 6 8 10 11 11 10 10 10 11 12 12 11 11 10 11 11 12 12 12 12 11 11 12 13 14 15 14 14 13 12 12 12 13 13 13 12 12 11 10 9 9 9 9 9 8 8 9 10 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 10 9 6 4 2 3 6 8 9 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 8 6 4 3 2 3 6 8 9 10 9 9 8 8 7 6 5 5 6 7 8 8 6 4 4 6 10 13 15 14 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 10 10 11 12 12 12 12 12 13 13 13 12 nan
nan 12 12 12 12 12 12 10 9 9 9 9 7 6 6 6 7 9 10 10 10 10 11 11 12 12 11 11 11 11 12 12 13 13 13 12 11 12 13 13 14 14 14 14 14 13 13 13 13 12 12 12 11 10 9 9 9 9 9 10 9 9 9 10 10 11 11 11 10 11 11 10 10 9 8 8 9 10 11 10 10 9 9 10 10 10 10 11 11 11 10 10 10 10 10 8 6 3 0 1 3 6 8 9 10 11 11 10 9 9 8 7 7 7 7 7 7 6 5 3 1 1 2 5 9 11 12 12 11 9 8 6 4 3 2 2 3 4 5 4 2 1 4 9 15 18 16 13 12 11 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 11 12 12 12 12 13 13 13 13 12 nan
nan 11 11 11 11 12 12 12 11 10 8 7 5 4 5 7 9 11 11 11 10 10 11 11 11 11 11 11 11 12 12 13 13 14 13 13 12 13 13 12 12 12 13 13 13 13 13 12 12 11 11 11 10 10 9 9 8 8 9 9 10 9 9 9 10 10 10 9 9 9 9 9 8 7 6 7 9 11 12 10 9 9 11 12 13 12 11 12 12 12 12 12 12 11 10 8 5 1 -2 -1 1 4 6 8 9 10 11 11 11 10 8 6 5 5 4 3 2 1 -0 -1 -1 1 5 9 11 12 13 14 14 12 11 9 6 4 3 4 4 4 3 1 0 3 10 16 22 21 16 12 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 13 13 13 13 13 13 12 nan
nan 10 9 9 9 10 11 12 11 10 8 6 4 4 6 9 11 12 12 12 11 11 11 11 11 11 11 11 11 12 12 13 14 14 14 13 13 13 13 12 11 11 11 12 12 12 11 11 11 11 11 11 10 10 10 9 9 9 9 9 10 10 9 9 9 9 8 8 8 9 9 10 9 8 8 9 10 11 10 8 7 7 9 12 14 14 13 13 13 13 14 14 13 11 10 8 5 1 -2 -1 0 3 5 6 8 9 10 11 11 11 10 7 5 4 2 0 -1 -1 -1 -1 2 5 8 10 11 12 12 13 14 14 14 13 11 11 10 10 10 8 6 4 5 11 17 23 24 19 15 12 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 13 13 13 14 13 12 nan
nan 9 8 8 8 9 9 10 10 9 8 7 6 7 8 10 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 13 13 14 14 13 13 13 13 13 13 12 11 11 12 11 11 10 10 10 11 10 9 8 8 9 9 10 10 11 10 10 10 9 9 9 8 8 8 9 10 10 10 10 10 10 10 9 8 6 5 6 7 9 10 11 12 13 14 15 14 14 12 11 10 8 6 4 2 2 3 4 6 7 7 7 8 9 10 11 10 9 8 7 5 3 3 3 3 4 6 8 10 10 11 11 11 12 13 14 14 14 14 14 14 14 13 11 9 9 12 16 21 23 21 16 12 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 10 10 10 10 11 11 12 13 13 13 13 14 13 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
1074 927 715 455 243 130 80 125 271 502 804 1133 1405 1601 1748 1870 1968 2033 2073 2093 2104 2122 2128 2110 2077 2068 2072 2085 2097 2099 2100 2105 2097 2088 2073 2049 2030 2019 2008 1988 1953 1931 1899 1880 1880 1891 1901 1914 1943 1945 1934 1934 1935 1925 1913 1900 1864 1816 1764 1706 1656 1630 1622 1627 1654 1683 1679 1607 1454 1255 1102 1030 1021 969 921 937 999 1052 1097 1167 1287 1387 1428 1473 1644 1624 1371 1128 1041 1002 833 505 224 113 48 19 7 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
954 805 618 415 253 139 112 170 301 500 777 1111 1401 1626 1801 1936 2033 2091 2117 2128 2135 2141 2135 2104 2067 2075 2103 2114 2125 2130 2131 2130 2118 2107 2099 2085 2082 2080 2067 2042 1992 1953 1930 1914 1907 1913 1928 1949 1976 1969 1960 1963 1969 1970 1978 1980 1958 1913 1848 1779 1727 1704 1695 1704 1734 1730 1637 1451 1224 1032 954 858 748 632 589 649 742 794 839 945 1073 1180 1285 1429 1535 1359 1090 893 758 584 344 191 83 38 14 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 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 0 0 0 0 0 0 0 0 0 0 0
870 728 582 444 300 223 223 278 384 559 815 1139 1423 1669 1858 1990 2077 2133 2159 2165 2172 2181 2172 2137 2100 2102 2139 2160 2176 2182 2177 2165 2148 2129 2122 2121 2131 2134 2118 2082 2028 2000 1986 1965 1950 1947 1953 1964 1993 1991 1993 1997 2000 2001 2007 2021 2018 1986 1934 1882 1846 1826 1815 1821 1808 1699 1442 1138 924 793 765 650 530 443 409 428 473 489 533 687 884 1075 1240 1342 1228 881 611 435 321 220 120 64 27 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 1 1 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 0 0 0 0 0 0 0 0 0 0 0
870 745 629 505 385 343 376 440 524 652 863 1175 1442 1685 1881 2026 2122 2176 2195 2200 2220 2239 2229 2191 2150 2143 2182 2209 2224 2226 2220 2207 2189 2162 2154 2161 2176 2180 2160 2120 2076 2059 2053 2031 2010 1998 1998 2014 2034 2037 2043 2051 2053 2050 2053 2067 2060 2041 2017 1992 1969 1951 1941 1905 1737 1464 1092 790 707 656 627 542 455 391 340 294 286 279 312 433 595 756 869 870 697 474 335 231 157 104 49 16 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 2 1 1 1 1 1 2 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 0 0 0 0
937 828 719 601 482 451 547 638 678 748 930 1209 1464 1706 1909 2054 2144 2196 2225 2243 2278 2300 2285 2246 2209 2203 2234 2255 2257 2255 2255 2252 2238 2205 2200 2205 2216 2217 2198 2162 2121 2100 2101 2100 2085 2065 2057 2068 2084 2094 2108 2123 2129 2126 2123 2127 2116 2106 2098 2091 2082 2068 2037 1885 1459 999 623 420 405 404 392 339 271 215 164 114 101 99 119 161 204 247 283 288 244 180 118 66 33 18 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0
1008 910 809 699 586 522 607 736 800 885 1053 1257 1455 1681 1896 2061 2170 2235 2270 2284 2321 2340 2318 2275 2243 2242 2270 2287 2284 2284 2290 2297 2293 2268 2272 2268 2260 2248 2226 2195 2162 2145 2149 2163 2157 2137 2123 2123 2138 2161 2182 2200 2212 2212 2198 2186 2178 2176 2176 2172 2157 2116 1993 1651 1087 582 275 151 112 105 108 94 71 46 24 7 8 11 17 24 27 28 32 37 41 31 20 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 1 1 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0
1051 970 888 796 687 567 577 799 953 1063 1178 1310 1474 1681 1875 2030 2144 2225 2274 2292 2315 2325 2311 2285 2267 2270 2289 2308 2314 2319 2326 2329 2323 2318 2337 2331 2308 2279 2249 2220 2198 2186 2197 2216 2218 2205 2189 2186 2205 2235 2258 2272 2282 2288 2275 2248 2220 2184 2122 2028 1907 1765 1572 1059 595 273 103 39 15 9 10 8 5 3 1 0 0 1 0 1 1 1 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1053 998 934 842 721 596 610 880 1079 1190 1264 1356 1497 1683 1876 2032 2144 2217 2260 2277 2307 2324 2316 2300 2292 2300 2311 2333 2346 2356 2366 2367 2360 2357 2370 2368 2344 2310 2275 2247 2236 2226 2240 2261 2272 2269 2263 2264 2278 2307 2328 2334 2335 2326 2280 2195 2036 1797 1520 1250 1006 784 628 346 162 64 22 5 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 1 1 1 2 2 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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