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 9 9 10 10 11 11 12 12 12 13 13 13 14 14 15 16 15 14 14 14 15 17 18 18 16 15 15 16 17 17 17 17 15 13 11 10 10 11 10 8 7 7 7 8 8 7 6 6 6 6 6 6 6 6 5 6 6 6 5 4 5 6 7 7 7 7 7 7 6 5 5 6 8 9 10 9 9 9 9 10 10 11 12 14 14 14 12 10 8 6 5 6 7 7 8 8 9 9 9 9 9 8 7 6 5 6 7 8 9 9 9 10 10 11 11 10 10 9 10 11 12 13 13 12 11 8 6 6 6 6 6 5 5 5 6 6 7 8 9 11 12 11 10 9 8 7 7 7 7 7 7 6 5 5 6 6 7 6 6 6 6 7 8 9 9 9 8 8 8 9 9 9 9 8 8 8 8 8 9 9 10 9 8 7 nan
nan 8 8 8 8 9 10 11 11 11 12 12 12 12 13 13 13 13 13 12 11 11 13 14 16 16 15 14 15 16 17 18 18 18 16 14 13 13 13 12 11 10 9 8 8 8 8 8 8 7 7 6 6 7 8 7 7 7 7 7 6 6 6 6 7 7 7 7 7 6 6 5 6 7 8 8 8 8 8 7 8 9 10 11 13 15 15 14 12 10 8 7 6 7 8 8 9 10 10 10 10 10 9 8 8 7 7 7 8 9 10 9 9 9 10 10 10 9 9 9 10 10 11 12 13 13 11 8 7 6 6 6 6 6 6 6 7 7 8 8 9 11 13 12 11 10 8 8 7 7 8 7 6 5 4 4 5 6 7 7 6 6 6 6 7 8 9 9 9 8 8 9 9 9 9 9 8 7 7 8 9 10 11 10 9 8 nan
nan 7 7 7 7 8 8 9 10 11 11 11 12 12 12 12 12 11 11 11 10 10 10 12 13 13 13 14 15 16 16 17 17 16 14 13 14 15 16 15 13 11 10 9 8 8 8 8 9 8 8 7 8 9 9 8 8 9 9 9 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 8 7 7 7 7 7 8 9 11 12 14 15 14 12 10 8 7 6 7 9 10 11 11 10 11 11 11 10 9 8 8 8 8 9 10 10 10 10 9 9 8 8 8 9 9 9 10 11 12 12 12 11 10 9 8 7 7 7 7 7 7 7 8 8 9 10 12 13 13 12 11 9 8 8 8 8 8 7 5 4 3 4 5 6 7 7 7 6 6 7 8 9 10 9 9 9 9 9 9 9 9 8 7 6 7 8 10 11 10 9 8 nan
nan 7 7 7 8 8 8 8 8 9 9 10 11 11 11 11 11 11 11 10 10 9 9 10 10 11 11 12 12 13 14 15 15 13 11 12 14 16 17 17 15 12 10 10 9 9 8 8 9 9 9 8 9 9 9 10 10 11 12 11 10 9 8 7 7 7 7 8 10 11 11 11 11 11 10 9 8 7 8 8 7 8 8 10 11 12 14 14 14 12 10 8 7 8 9 10 10 10 10 11 11 11 10 9 9 9 8 8 8 9 10 11 10 9 7 7 7 7 8 8 9 10 10 11 12 12 12 12 12 11 10 8 8 7 7 7 7 7 8 9 10 11 13 13 13 11 9 8 8 8 9 9 8 7 5 4 3 4 4 5 6 7 7 7 7 8 9 9 9 10 10 10 10 9 9 9 9 8 7 7 8 9 10 10 10 9 nan
nan 7 7 8 8 8 8 8 8 7 7 8 9 10 10 10 10 10 10 11 10 10 9 9 8 9 9 9 9 10 11 12 13 12 11 12 14 16 17 18 17 14 12 11 11 10 9 9 9 10 10 10 10 10 10 12 13 13 13 12 12 11 10 9 9 8 8 9 11 13 13 12 11 10 10 9 8 8 8 8 8 8 9 9 10 12 15 16 16 15 12 9 8 9 10 10 9 10 10 11 11 10 10 10 10 9 8 8 8 9 10 11 11 9 7 6 5 6 6 7 8 10 10 11 11 12 12 12 13 12 11 10 9 8 8 7 6 6 7 8 9 11 12 13 13 11 9 8 8 8 9 10 9 8 7 6 5 4 4 3 4 5 7 8 8 8 8 8 9 9 10 11 11 10 10 10 10 9 8 8 8 9 11 11 11 10 nan
nan 7 7 7 8 8 8 8 7 7 6 6 7 8 8 9 9 10 10 11 11 10 9 8 8 7 7 7 7 7 8 9 11 12 12 13 14 15 17 18 18 16 14 13 12 11 11 10 10 10 11 11 11 11 12 13 13 13 12 12 11 11 11 12 11 11 10 11 12 12 12 10 9 8 8 8 7 7 7 7 7 8 9 9 10 13 16 19 19 18 14 9 9 10 10 9 9 10 11 11 10 10 10 10 10 9 8 8 9 9 10 11 11 10 8 7 6 5 5 6 7 9 10 10 11 11 11 11 11 11 10 10 9 9 8 7 7 6 6 8 9 10 12 13 13 12 10 9 9 9 10 10 10 9 8 8 7 7 5 2 2 4 5 7 7 7 7 7 7 8 9 10 11 11 11 10 9 9 9 9 9 10 12 12 12 11 nan
nan 7 7 7 7 8 8 8 7 6 6 5 6 6 7 8 8 9 10 11 11 10 9 9 8 7 7 7 6 6 5 6 7 9 10 12 13 14 16 17 17 17 16 15 14 13 13 12 11 12 12 12 12 12 12 12 11 10 10 10 10 10 10 11 11 11 10 10 9 9 8 8 7 7 6 6 6 5 5 5 6 6 7 8 9 12 16 19 20 18 13 10 10 11 10 10 10 10 10 11 11 11 11 10 9 9 9 9 10 10 10 11 11 11 10 9 8 7 6 6 7 8 9 9 10 10 10 10 10 9 9 9 10 9 8 8 7 7 7 8 9 11 12 12 12 12 12 11 11 11 10 10 9 8 8 9 10 9 7 4 3 3 5 5 5 6 7 7 6 6 6 8 9 10 10 9 8 8 9 10 11 11 13 13 12 11 nan
nan 7 7 7 7 7 8 8 8 7 6 6 6 6 6 7 8 8 9 10 10 10 10 9 9 8 8 7 6 5 4 4 4 5 7 9 11 12 14 15 16 17 18 18 17 16 14 14 13 12 11 11 10 9 8 7 6 6 6 7 7 7 7 7 8 8 7 7 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 7 9 11 14 16 17 15 12 11 10 10 11 11 11 10 10 10 10 11 11 11 10 10 11 10 10 9 9 10 10 11 10 9 9 8 7 6 7 8 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 8 8 9 10 10 10 11 12 13 13 13 13 11 10 8 8 9 10 11 10 8 5 4 5 5 4 4 5 6 7 6 5 5 6 7 8 9 9 8 7 8 10 12 12 13 13 12 11 nan
nan 7 7 7 7 7 7 8 8 8 7 7 6 6 6 7 7 8 8 8 9 9 9 9 9 9 8 8 7 6 5 4 3 3 4 6 8 9 11 13 14 16 18 20 20 18 16 16 14 12 10 9 7 6 5 4 4 4 4 5 5 4 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 8 9 11 13 14 14 12 10 10 10 10 10 11 10 10 9 9 10 11 11 11 11 11 10 10 9 8 8 8 9 10 10 9 9 8 8 7 8 9 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 9 12 13 14 14 14 13 11 9 8 9 9 10 9 7 6 6 6 5 4 4 5 6 7 7 6 6 6 7 8 8 8 7 6 7 10 12 13 13 12 12 11 nan
nan 7 7 7 7 7 7 8 8 8 8 8 7 6 6 7 7 8 8 7 7 8 8 9 9 9 9 9 8 7 6 4 2 2 3 4 6 7 9 10 12 14 17 20 21 21 19 17 14 11 9 8 7 7 6 6 6 6 5 4 3 3 2 3 4 5 6 6 7 7 6 6 6 6 6 6 6 7 7 7 8 8 9 8 9 10 12 12 11 10 10 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 9 8 8 8 7 7 7 8 9 9 9 9 9 8 9 9 11 11 11 10 9 9 9 9 9 9 10 11 12 11 10 8 7 7 7 7 7 7 8 10 12 12 13 13 14 13 11 10 9 9 9 9 8 7 6 6 6 5 5 4 5 6 7 6 6 6 6 8 8 7 6 5 6 8 11 12 12 12 12 11 nan
nan 8 8 8 8 8 8 8 9 9 9 8 7 7 6 7 7 7 7 7 7 7 8 8 9 9 10 10 9 9 7 5 3 2 2 2 3 5 6 8 9 11 14 17 20 22 22 21 17 13 10 9 9 9 9 9 8 8 7 6 5 4 4 5 6 7 7 8 8 8 7 7 7 8 8 7 7 7 7 7 8 8 8 7 7 8 10 10 10 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 10 9 8 9 10 12 12 11 9 8 7 8 7 7 8 8 9 10 10 11 12 14 14 13 12 11 12 12 11 9 7 7 7 7 6 5 3 4 4 5 6 6 6 6 7 7 7 7 6 6 8 9 10 10 11 12 11 nan
nan 8 8 8 8 8 8 8 9 9 9 9 8 7 6 6 6 6 7 6 6 7 8 8 9 10 11 11 11 11 10 8 6 4 1 0 1 2 4 6 7 8 10 13 15 18 21 23 22 18 15 12 10 8 8 7 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 10 10 9 9 8 8 8 8 8 7 6 5 5 7 8 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 10 10 10 9 8 8 8 9 10 11 11 11 11 10 9 8 8 9 10 9 9 8 8 8 8 8 8 8 9 9 9 9 10 12 12 12 12 13 14 14 12 10 8 8 8 8 8 5 4 3 3 3 4 5 6 6 7 7 8 8 8 8 8 8 8 8 9 10 10 nan
nan 9 8 8 8 8 8 8 9 9 9 9 8 7 6 6 6 6 6 6 6 8 9 10 11 12 12 12 12 13 12 10 9 6 2 -0 -1 0 2 4 5 6 8 9 11 13 15 19 24 26 23 18 12 8 6 5 4 5 7 8 8 9 10 10 10 9 8 8 8 9 11 11 11 10 9 9 9 9 9 9 9 8 7 5 5 5 6 8 9 10 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 10 10 11 11 11 10 8 7 7 8 9 10 10 10 10 10 9 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 10 11 12 13 14 14 13 12 11 10 11 11 9 6 5 4 3 2 2 4 5 6 6 7 8 8 8 9 9 7 6 5 6 7 7 nan
nan 8 8 8 8 8 8 8 9 9 9 8 8 7 6 6 7 7 7 8 9 11 13 14 14 13 12 11 12 11 11 11 11 10 6 3 1 0 1 2 4 6 8 8 8 8 9 12 19 27 29 23 16 10 6 4 3 4 5 7 8 9 10 9 9 8 8 8 9 11 12 11 10 9 9 10 10 10 10 10 10 10 9 7 5 4 4 6 9 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 11 9 9 10 11 11 10 9 8 8 8 9 10 10 11 10 9 9 8 7 6 6 6 6 6 5 5 5 6 7 7 7 7 8 8 8 9 10 11 11 12 13 13 13 13 14 14 14 13 10 8 7 6 5 3 2 2 4 5 6 7 8 8 8 8 8 7 5 4 4 5 5 nan
nan 8 8 8 8 8 8 8 9 9 9 8 8 7 6 7 8 8 9 11 12 13 15 17 16 14 12 10 10 9 9 11 13 13 11 7 4 2 0 1 3 6 8 8 8 7 6 6 10 19 25 23 17 11 6 2 2 4 6 7 7 7 7 7 7 8 9 10 11 12 11 9 8 8 9 10 10 10 10 11 11 11 10 9 7 5 5 5 8 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 9 9 9 10 11 11 11 11 10 10 10 10 10 10 9 9 8 8 8 7 7 7 7 6 6 5 6 6 7 8 8 8 8 8 9 10 10 10 10 11 12 12 13 13 14 14 14 12 10 10 9 8 7 5 3 2 3 5 6 7 8 7 7 7 8 7 6 5 5 5 6 nan
nan 8 8 8 8 8 8 8 9 9 9 9 7 6 6 7 8 9 10 12 13 14 15 15 15 14 13 12 11 9 9 10 11 12 12 10 9 6 3 2 2 4 5 7 7 7 6 4 4 10 16 17 15 11 7 3 2 4 5 5 5 4 5 6 8 9 10 10 10 9 9 8 9 9 9 8 8 9 10 10 10 11 12 12 11 9 7 7 8 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 11 11 12 11 10 9 9 9 8 8 8 9 10 10 9 9 9 8 8 8 8 7 8 8 9 9 8 8 8 8 9 9 9 9 9 10 10 10 11 11 12 11 11 10 11 11 10 9 7 5 4 3 4 6 7 7 7 7 7 7 7 7 6 6 6 6 nan
nan 9 8 8 8 8 8 9 9 10 10 9 7 6 6 6 7 8 10 12 13 13 13 13 13 13 14 14 12 9 8 8 9 9 10 12 11 9 6 4 3 3 4 6 8 8 8 6 4 5 9 11 12 11 10 6 4 4 5 5 4 4 4 6 8 9 10 9 9 9 9 10 11 10 9 7 7 8 8 8 8 10 11 13 13 12 10 8 7 8 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 9 8 8 7 7 7 8 10 11 12 12 11 10 10 10 10 10 9 9 9 9 8 8 7 6 7 7 7 6 7 7 8 8 8 8 9 10 10 11 11 12 12 13 12 11 9 7 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 nan
nan 9 9 9 8 8 9 9 10 11 11 9 8 6 5 5 5 6 8 10 11 11 10 10 10 11 13 13 11 8 7 7 7 8 9 11 11 9 7 6 5 4 5 7 9 9 9 8 6 4 5 6 8 9 9 7 5 5 5 6 6 6 6 7 7 8 9 9 9 10 11 12 13 11 9 7 7 7 7 7 7 7 7 8 10 10 9 7 6 6 7 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 8 9 11 11 12 12 12 11 10 10 10 10 10 9 9 8 8 7 6 7 7 6 5 5 5 6 7 7 7 8 8 9 10 11 12 13 13 15 15 15 13 10 8 6 6 6 6 7 7 7 7 6 7 7 7 7 7 nan
nan 9 9 9 9 9 9 10 11 12 12 11 9 7 5 3 4 5 7 8 9 9 8 7 8 9 10 11 10 9 7 6 6 6 7 9 10 9 9 8 7 6 7 9 10 10 9 8 6 5 4 4 5 5 5 4 3 3 4 6 8 9 9 9 9 9 9 9 10 11 12 14 14 12 10 8 7 7 7 7 6 5 4 4 5 6 7 6 5 4 4 5 6 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 10 11 11 11 10 10 9 9 10 10 10 10 9 8 8 9 9 9 8 7 6 6 7 7 8 8 8 9 9 9 10 11 11 12 13 15 15 13 11 10 8 7 7 7 7 7 7 6 6 6 6 7 7 7 nan
nan 9 9 9 9 10 10 11 12 13 14 14 12 9 6 4 4 5 6 7 8 7 6 6 6 7 8 9 9 8 8 7 6 6 7 9 10 11 11 10 10 10 10 11 12 11 10 8 6 5 4 4 4 4 4 3 2 2 4 7 10 11 11 11 11 11 10 10 10 11 13 14 14 12 10 8 8 7 7 6 6 6 6 5 5 6 6 6 6 5 4 4 5 6 7 8 8 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 8 9 9 9 10 10 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 10 10 11 10 10 9 9 10 10 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 8 8 9 10 10 10 10 10 11 12 11 10 9 8 7 7 7 7 7 7 6 6 6 6 7 7 7 nan
nan 9 9 9 9 10 10 11 12 14 15 16 15 12 9 6 5 5 5 6 6 6 5 5 5 7 8 8 7 7 7 7 7 8 9 11 12 13 13 13 12 12 14 15 15 14 12 9 7 5 4 4 5 6 6 6 5 4 6 9 11 13 13 12 11 10 10 9 10 11 13 14 13 11 10 10 9 9 7 6 6 7 8 8 8 7 7 7 7 7 6 5 5 5 6 6 7 8 8 8 8 8 7 8 8 8 7 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 10 10 10 10 10 9 10 10 11 11 11 11 11 11 10 11 11 12 12 12 12 11 11 11 11 12 11 11 11 10 10 9 9 8 9 9 10 10 10 9 8 8 8 8 8 8 7 7 7 8 8 9 8 7 6 6 6 6 6 6 nan
nan 8 9 9 9 9 10 11 11 13 15 16 16 14 11 9 6 5 5 6 6 5 5 5 6 7 7 7 7 7 8 8 9 10 11 12 13 14 15 14 13 13 15 18 19 18 16 13 8 5 4 4 5 6 7 8 8 8 10 12 13 13 13 11 10 9 9 9 11 12 13 13 12 11 11 12 12 11 9 8 7 7 8 8 8 7 7 7 8 8 8 7 7 6 5 5 6 7 8 8 7 7 7 8 8 8 8 8 9 9 9 10 10 10 10 9 8 8 7 7 8 8 8 8 8 8 8 9 9 9 10 10 10 10 11 11 12 12 12 12 11 11 11 12 12 11 10 10 10 11 11 11 11 11 11 10 10 9 8 8 8 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 9 9 9 8 7 7 6 6 6 5 nan
nan 8 8 8 9 9 9 9 10 11 13 14 15 14 13 11 8 7 6 6 6 6 6 7 8 8 8 8 8 8 9 9 10 11 12 13 14 14 14 13 12 11 14 18 21 22 21 16 10 6 4 3 3 3 5 6 8 10 12 13 13 13 12 10 9 9 9 10 11 13 13 14 13 13 14 14 13 11 10 8 7 7 7 8 8 7 7 8 8 8 8 8 8 7 6 5 5 5 7 8 7 7 7 7 8 8 9 10 10 10 10 11 12 12 11 10 8 7 7 8 8 8 8 8 8 8 8 9 9 8 8 7 8 9 10 11 11 12 11 11 11 10 10 11 11 11 10 9 9 10 10 10 9 9 9 9 9 8 8 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 7 7 8 9 8 8 7 7 7 6 6 6 nan
nan 8 8 8 8 8 8 9 9 10 11 12 13 13 12 11 9 9 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 11 12 13 14 14 13 12 11 10 12 16 21 24 23 18 12 6 3 2 1 1 2 4 7 10 12 13 13 12 10 10 9 10 10 11 11 12 13 13 14 16 17 14 11 9 7 6 6 7 8 8 8 8 8 8 8 9 9 8 8 7 6 4 4 4 6 7 8 8 7 7 7 8 9 9 10 10 11 11 11 11 11 10 9 8 8 8 9 9 9 9 9 9 9 9 9 8 7 6 6 8 9 9 9 9 9 9 8 8 9 10 11 11 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 9 9 9 9 8 8 8 8 7 7 7 8 8 7 7 7 7 7 7 7 nan
nan 9 8 8 9 9 8 8 9 9 10 11 11 11 11 10 9 9 9 10 10 10 10 10 11 12 12 12 12 11 11 11 11 12 13 14 14 14 13 12 11 10 11 14 19 22 22 18 11 6 3 1 1 2 3 5 7 9 10 11 11 10 9 9 9 10 11 11 11 10 11 11 13 15 15 11 8 5 4 4 6 7 8 8 8 8 8 8 8 8 8 8 8 7 6 4 3 3 5 7 8 8 7 7 7 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 8 8 8 8 8 8 7 7 7 7 9 10 10 9 8 8 8 8 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 7 7 7 8 8 nan
nan 8 8 8 8 8 8 8 8 9 9 9 10 10 9 9 8 9 9 10 11 11 11 12 12 13 13 14 14 14 13 13 13 14 14 15 15 14 13 12 11 10 11 14 18 20 20 17 11 6 3 3 4 5 7 9 10 10 10 10 10 8 8 8 9 10 11 11 10 9 8 8 11 13 12 9 6 4 4 5 7 8 9 9 9 8 8 8 8 8 7 7 7 6 6 4 3 3 5 7 9 9 8 7 7 8 9 9 9 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 9 8 7 8 8 9 8 7 7 6 7 8 8 8 8 7 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 6 6 5 6 6 7 8 9 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 10 11 11 12 12 13 13 14 15 15 16 16 16 16 16 16 15 15 13 12 11 10 11 13 15 17 19 19 17 13 9 6 6 7 9 11 12 12 12 11 10 9 8 8 9 10 10 10 9 8 6 6 7 9 11 11 9 8 7 7 8 8 9 9 9 8 8 7 7 7 7 7 6 6 6 6 5 4 5 6 9 11 11 10 9 8 9 10 11 10 9 8 7 7 8 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 11 11 10 10 9 8 8 8 9 10 10 10 8 7 7 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 7 6 6 5 4 5 6 7 8 9 nan
nan 8 8 8 8 8 9 9 9 8 8 8 9 9 9 8 8 8 9 10 10 11 12 12 13 14 14 15 16 16 17 17 17 17 17 16 15 13 12 11 10 12 14 16 18 18 18 17 15 12 11 11 12 13 14 14 13 13 11 10 9 9 9 10 9 9 8 7 7 6 7 8 10 12 12 12 11 10 10 10 9 9 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 7 8 10 12 13 12 11 11 10 11 12 12 12 11 10 9 9 9 9 10 9 9 9 10 10 10 10 10 9 9 8 9 9 9 9 8 8 8 8 8 9 11 11 10 9 9 8 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 11 10 10 9 8 7 7 7 6 5 4 5 5 7 8 9 nan
nan 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 9 10 10 11 12 12 13 14 14 15 15 16 17 17 17 17 17 16 15 14 12 11 11 13 15 16 17 18 18 17 16 15 14 15 15 16 16 15 14 12 11 10 9 9 8 7 6 5 5 6 7 8 9 10 12 13 13 13 12 12 11 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 11 12 13 13 13 13 12 12 11 12 12 12 12 11 10 10 9 10 10 10 9 9 9 10 10 10 10 10 9 8 8 8 8 7 7 7 7 7 8 8 9 9 9 8 8 9 9 10 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 7 6 5 5 6 6 7 8 nan
nan 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 13 14 14 15 15 15 15 16 16 16 16 15 14 13 12 13 14 15 16 16 16 16 16 16 16 16 16 16 17 16 15 14 12 10 9 8 7 6 4 3 3 4 6 8 8 9 9 10 11 12 12 12 12 11 11 10 9 9 8 8 8 8 8 7 7 7 7 7 8 9 10 11 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 10 10 9 9 10 10 9 9 9 10 10 10 10 9 8 7 6 7 7 7 7 7 7 8 8 8 8 8 7 7 8 9 10 10 11 12 12 11 11 10 9 9 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 6 5 5 5 6 7 8 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 11 11 12 12 13 13 14 14 14 14 14 14 14 14 15 14 13 13 13 14 14 15 15 15 15 15 15 15 15 15 16 16 15 15 14 12 10 8 7 6 4 3 3 4 6 7 8 8 8 8 8 9 9 9 10 11 13 13 13 12 12 11 11 11 10 9 8 8 8 8 9 9 10 12 13 14 14 13 13 13 13 12 12 12 13 12 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 8 6 5 6 8 8 9 9 9 9 9 10 10 9 9 8 8 9 9 10 11 12 12 12 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 9 7 6 5 5 6 7 8 nan
nan 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 13 14 14 14 13 13 14 14 14 14 14 14 14 14 13 13 14 14 15 15 15 14 12 10 9 8 6 5 5 6 7 8 8 9 9 9 9 9 9 9 9 10 11 14 16 16 15 14 14 14 14 13 11 10 9 9 9 10 11 12 13 14 13 12 12 12 11 11 11 11 13 13 12 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 7 6 6 8 9 10 10 10 9 9 9 9 9 9 9 8 8 8 9 10 10 11 11 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 11 10 10 8 7 6 6 6 8 8 nan
nan 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 12 12 12 11 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 14 13 13 13 13 12 12 12 13 14 14 14 13 12 11 10 9 7 7 9 10 10 10 10 10 11 11 12 13 13 12 11 11 12 13 15 16 15 14 13 13 14 13 12 12 11 11 10 10 11 11 12 12 11 10 10 10 9 9 9 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 8 7 7 8 9 9 9 9 8 8 8 8 8 7 8 7 7 7 8 8 9 9 9 10 10 10 10 9 9 8 8 9 9 9 10 10 10 10 9 9 9 9 10 9 9 9 10 10 10 11 11 10 10 9 7 7 7 8 8 nan
nan 9 9 9 10 9 10 10 10 10 11 11 11 11 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 13 13 13 12 12 12 11 11 12 13 13 14 14 13 12 11 9 8 9 11 12 13 13 13 13 13 14 15 15 16 15 13 12 12 12 12 12 11 10 9 9 10 11 13 13 13 12 11 10 9 9 9 9 9 9 8 8 7 7 7 8 10 10 10 11 10 10 10 10 10 10 9 9 10 10 10 9 8 8 9 10 10 9 8 8 7 8 8 9 8 8 7 7 7 8 8 8 8 7 7 6 7 7 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 10 9 9 9 8 7 nan
nan 9 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 14 14 14 14 14 12 10 9 10 11 12 13 15 15 15 15 15 15 15 15 14 13 11 11 11 11 10 10 8 7 7 9 11 13 13 13 12 10 9 8 8 7 7 7 7 7 7 6 6 6 8 9 10 10 11 10 10 10 10 10 10 9 9 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 6 7 7 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 10 10 11 10 10 10 11 11 10 8 nan
nan 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 11 10 10 11 11 12 12 12 13 13 13 13 14 14 14 15 15 15 14 13 11 10 10 10 11 12 13 14 14 14 14 13 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 7 6 5 5 5 5 5 5 6 6 7 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 8 8 9 8 8 8 8 9 9 10 10 9 8 8 8 8 9 8 7 7 6 7 8 8 8 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 10 10 10 10 9 10 11 12 11 10 nan
nan 10 9 9 9 10 9 9 9 9 9 10 10 10 10 11 11 11 10 11 11 11 11 11 11 11 12 12 13 13 13 12 12 12 11 11 10 10 10 10 9 9 9 10 10 11 11 12 13 13 14 14 14 15 15 15 15 15 14 12 11 10 9 9 9 10 10 11 11 11 10 10 8 8 8 8 9 9 9 9 8 8 9 10 10 9 8 7 7 9 9 9 8 6 5 5 5 5 5 6 6 6 7 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 9 9 9 9 9 9 10 10 10 9 8 8 8 8 9 9 8 8 7 7 7 8 9 9 10 9 9 9 8 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 11 12 12 11 nan
nan 10 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 12 12 12 11 10 9 9 9 9 9 9 10 10 11 12 13 14 14 15 15 15 15 14 14 14 13 11 10 9 9 8 9 9 9 9 9 9 9 8 8 8 8 9 10 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 8 9 9 9 10 11 11 11 10 10 9 9 9 9 9 9 9 9 8 8 8 10 10 11 11 10 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 13 12 nan
nan 10 10 10 10 10 10 10 10 10 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 14 13 13 12 12 11 11 10 9 9 9 9 9 9 9 10 11 11 12 13 14 15 15 15 15 14 13 12 11 10 9 8 8 8 9 9 10 10 9 9 9 9 9 10 10 10 11 13 14 15 16 15 14 13 12 12 12 12 12 12 12 11 11 11 12 12 12 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 7 7 7 7 7 8 9 10 11 11 11 11 11 10 10 10 9 9 10 10 10 9 9 9 10 11 11 11 10 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 nan
nan 10 10 10 10 10 10 10 9 9 10 10 10 10 10 11 11 10 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 12 11 11 11 10 10 9 9 9 9 9 9 10 10 11 11 12 13 14 15 16 16 15 13 12 10 9 7 7 8 9 9 10 10 10 10 9 9 9 10 10 11 11 12 13 14 15 16 16 16 14 12 11 11 10 11 12 12 11 11 11 12 13 12 12 11 10 10 9 9 9 8 8 7 8 9 9 9 9 9 9 8 9 9 9 9 9 9 10 11 11 10 8 7 7 7 6 5 6 8 9 10 11 11 10 10 10 10 10 9 10 11 11 11 10 10 10 10 10 10 10 10 9 9 8 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 nan
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nan 12 10 8 6 5 5 6 5 5 4 4 5 6 8 9 10 10 9 9 9 8 8 9 11 12 14 14 14 12 11 10 9 9 8 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 11 10 9 9 9 10 10 11 11 11 11 11 11 10 10 9 9 8 8 9 9 9 8 8 7 7 7 7 8 9 9 10 10 11 11 11 11 10 9 9 9 9 9 10 10 11 11 11 12 12 12 13 13 13 13 12 11 10 9 9 9 9 8 7 7 7 7 8 8 8 8 8 9 9 10 11 13 14 13 11 9 8 8 9 10 11 11 9 8 8 8 9 9 10 10 11 12 12 12 12 11 11 10 9 8 7 8 8 8 8 8 9 10 11 12 13 13 12 10 8 6 5 5 7 9 10 10 10 9 8 9 9 10 11 13 13 nan
nan 13 11 8 6 5 5 5 5 5 5 4 5 7 8 9 9 9 9 9 9 9 9 10 11 12 14 14 13 12 11 10 9 9 8 9 9 10 11 11 11 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 12 11 11 11 11 11 11 10 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 9 10 10 11 12 12 11 10 10 9 9 10 10 10 11 11 11 11 11 11 12 12 13 13 13 13 12 11 10 10 10 9 9 8 8 7 8 8 8 8 8 8 9 9 9 10 12 13 13 13 11 9 9 9 10 10 10 9 9 8 8 8 9 10 11 12 12 12 11 11 12 12 12 12 10 9 8 8 7 7 7 8 9 10 11 13 13 12 9 6 5 5 6 8 10 11 11 10 9 9 9 9 10 11 12 12 nan
nan 13 12 10 7 6 6 6 6 5 5 5 6 7 8 8 8 9 9 9 9 9 9 10 11 12 13 13 12 11 10 10 9 9 9 9 10 10 10 11 10 10 10 9 9 9 8 8 9 9 10 11 11 12 12 12 12 12 11 11 11 11 11 11 10 10 10 9 9 9 9 9 8 8 8 8 7 7 7 8 9 10 10 11 11 11 11 10 10 10 10 9 9 9 10 11 11 11 10 10 11 12 12 12 12 12 13 12 11 10 10 9 9 9 8 8 8 8 9 9 8 9 9 9 9 9 10 12 13 14 13 11 10 10 10 10 10 9 9 9 8 8 9 10 11 12 11 11 10 10 11 13 14 14 13 12 11 10 9 8 8 8 8 9 11 12 12 11 8 5 4 5 7 9 11 12 12 11 9 9 9 8 9 10 10 10 nan
nan 13 12 10 9 8 8 7 7 6 6 6 7 8 8 9 9 9 9 9 9 10 10 11 12 13 13 12 12 11 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 10 11 11 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 9 9 9 8 8 8 8 7 7 7 8 9 10 10 11 11 11 11 11 11 11 10 9 8 8 9 10 11 11 10 9 9 10 11 11 11 11 12 13 12 11 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 9 12 14 14 12 11 10 9 9 10 10 10 9 8 8 9 10 11 11 10 9 9 10 11 13 14 15 16 16 15 14 11 10 10 10 10 11 12 12 11 10 7 5 5 6 8 10 12 12 12 11 10 9 8 7 8 8 8 8 nan
nan 12 12 10 9 9 8 8 8 8 7 7 7 8 9 10 10 10 10 9 10 10 11 13 14 14 14 13 12 11 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 9 10 10 11 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 10 11 11 10 9 9 9 10 10 10 10 11 13 13 12 11 11 10 9 9 8 8 8 8 8 8 8 9 9 9 8 7 8 10 13 14 13 11 9 9 9 10 10 10 9 9 9 9 10 10 10 9 9 9 10 11 13 14 15 15 16 15 14 13 12 11 11 12 12 12 11 10 9 7 7 7 8 9 10 12 12 12 11 9 8 7 6 7 7 7 6 nan
nan 11 10 10 9 8 8 8 9 9 9 8 8 9 10 10 10 10 10 10 10 11 12 13 14 14 13 13 12 11 10 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 12 11 11 10 11 12 11 10 9 9 10 10 10 10 11 13 13 13 13 12 11 10 9 8 8 8 8 8 8 8 8 9 9 8 7 7 8 11 13 13 11 9 8 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 11 12 12 13 13 13 12 12 11 11 10 11 11 10 9 8 8 9 10 10 9 9 10 12 12 12 11 9 8 6 5 4 3 3 4 nan
nan 10 9 8 8 7 7 8 9 9 10 10 10 11 11 11 11 10 11 11 11 12 12 13 13 13 13 12 12 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 10 10 12 13 13 13 12 11 10 9 9 9 9 8 8 8 8 8 8 9 9 8 7 7 9 11 11 9 8 8 10 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 10 13 14 14 12 11 11 12 12 12 11 8 6 3 2 -1 -2 -0 3 nan
nan 10 9 8 7 7 6 7 8 9 10 11 12 12 11 11 12 12 12 12 12 11 11 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 13 12 11 11 11 11 11 11 10 10 10 10 10 11 10 10 9 8 8 7 8 9 9 9 8 8 9 10 10 8 8 9 10 10 10 9 9 9 9 10 10 10 10 10 9 8 8 8 8 9 9 8 8 8 7 7 7 7 7 7 8 8 8 10 13 15 16 16 15 14 13 13 13 12 10 7 3 0 -2 -3 -3 1 5 nan
nan 11 10 9 8 7 7 8 9 10 10 11 11 11 11 10 11 11 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 10 11 12 11 10 10 10 10 11 11 11 10 10 10 10 11 11 11 11 11 11 11 12 11 10 9 9 9 9 10 9 9 9 10 9 9 9 9 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 13 14 14 13 12 11 10 10 9 8 8 8 10 12 13 13 12 10 9 8 7 7 8 9 10 10 11 11 11 10 9 9 10 10 9 9 8 8 8 8 9 10 10 10 10 9 8 7 7 8 8 8 7 7 6 5 5 5 5 6 6 7 8 10 12 14 15 16 18 19 18 17 14 13 12 10 6 3 1 -0 0 3 6 9 nan
nan 11 10 9 8 9 9 9 10 10 10 10 10 10 9 9 9 10 10 11 12 12 12 12 12 12 12 11 11 10 10 10 10 11 11 10 10 9 8 8 9 11 12 12 11 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 9 9 8 9 10 10 11 11 11 11 11 11 12 12 12 11 10 9 9 10 10 10 11 11 11 11 11 12 13 13 13 13 12 11 10 9 8 8 8 9 10 11 12 12 11 10 8 7 7 8 9 11 12 13 13 12 10 9 9 10 9 9 8 8 7 7 7 8 10 10 10 9 8 8 7 7 7 7 7 7 7 5 4 3 3 3 4 5 7 9 11 13 15 16 18 21 22 22 19 14 11 11 10 8 6 6 6 7 9 10 11 nan
nan 10 9 9 10 11 11 11 11 10 10 10 10 9 8 8 8 9 10 11 12 12 12 12 12 12 12 11 10 10 10 10 11 11 10 10 9 8 8 8 10 12 13 12 11 10 10 11 11 11 11 11 10 10 9 9 9 10 10 11 11 11 10 10 11 11 10 10 10 10 10 11 11 11 10 9 8 8 9 9 10 11 11 10 10 10 11 12 12 11 10 9 9 9 9 10 11 11 11 11 10 10 10 10 10 10 11 12 12 11 10 9 9 9 9 8 9 9 11 11 10 8 7 6 7 8 10 12 13 13 11 8 7 8 9 9 9 8 8 7 6 7 9 10 10 10 9 8 8 7 7 7 8 8 9 7 4 1 0 1 2 3 6 9 11 13 15 17 18 19 21 22 22 18 12 10 9 9 10 11 11 12 13 14 14 13 nan
nan 10 10 10 11 12 12 12 11 10 9 9 9 8 8 8 8 9 11 12 12 12 12 12 12 13 12 11 10 9 9 10 10 10 10 9 8 8 8 9 11 12 13 12 12 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 8 7 8 8 9 10 10 10 10 10 10 9 8 8 9 10 11 12 11 10 10 10 10 9 9 9 9 9 10 10 8 7 5 5 7 9 11 12 12 11 9 8 8 9 10 10 9 7 7 7 8 10 11 11 10 9 8 8 8 7 8 8 8 7 4 -1 -3 -3 -1 2 6 9 12 14 15 16 17 17 17 17 17 18 16 13 11 10 10 11 12 14 15 16 17 16 15 nan
nan 11 11 11 11 12 12 12 12 11 9 9 8 8 8 8 9 10 11 12 12 12 13 13 13 12 11 10 9 9 9 9 10 10 9 8 8 9 10 11 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 9 9 8 8 8 8 9 9 9 9 10 11 12 12 11 11 11 11 10 9 9 8 8 9 9 10 10 10 10 10 9 9 10 10 10 9 8 8 7 8 9 10 10 9 9 9 9 8 8 8 9 10 11 11 11 10 10 10 10 10 10 9 8 8 8 9 8 7 6 5 7 8 10 11 12 12 11 11 11 11 12 11 10 8 7 7 9 10 11 10 9 9 8 8 8 7 6 5 3 -0 -4 -6 -5 -2 3 7 11 14 15 15 15 16 16 16 14 12 11 10 11 11 12 12 12 13 14 15 17 18 17 16 14 nan
nan 11 11 11 11 12 12 12 12 11 10 9 9 8 8 9 10 11 12 12 12 12 12 12 12 12 11 11 10 10 9 9 9 9 8 7 8 9 11 12 13 12 12 11 11 11 12 12 11 11 10 10 9 9 9 8 8 7 7 7 7 8 8 9 9 10 11 11 12 11 11 10 10 10 9 9 9 8 9 9 10 10 10 10 10 10 10 10 11 11 11 10 9 9 8 9 10 10 9 9 9 9 8 8 8 9 10 11 11 11 10 10 10 11 11 11 10 9 7 7 7 7 7 6 7 7 8 9 10 11 12 13 12 13 13 13 13 11 9 8 7 8 9 9 9 9 9 9 9 7 5 2 -1 -3 -5 -6 -4 -1 5 9 12 15 16 16 15 15 16 18 17 15 11 7 5 5 7 9 12 14 16 17 18 19 18 16 14 12 nan
nan 10 10 10 11 12 13 13 13 11 10 9 9 8 9 9 10 10 11 11 11 10 11 12 12 13 13 12 11 10 10 10 9 8 6 6 7 9 12 13 13 12 10 9 9 9 10 11 11 10 10 9 9 8 8 7 7 6 6 6 7 8 9 9 9 10 10 11 11 11 11 11 10 10 9 9 9 8 9 9 9 9 9 9 10 10 10 11 11 12 12 11 10 10 9 9 10 10 10 10 10 9 9 9 9 10 11 11 11 10 10 10 11 11 11 11 11 10 8 7 5 5 5 6 7 8 8 9 10 11 11 11 11 12 13 14 14 12 10 9 8 8 9 9 9 8 8 7 6 3 -0 -3 -4 -4 -2 1 5 8 11 13 15 16 17 16 16 17 19 21 21 19 15 10 7 6 7 9 12 15 17 19 19 17 15 13 11 10 nan
nan 9 9 10 11 12 13 13 13 11 10 9 9 9 9 9 9 9 9 9 9 10 11 12 13 13 13 12 11 10 10 9 8 6 4 4 6 9 11 12 12 11 10 9 8 8 9 10 10 10 9 8 8 8 7 7 6 6 6 7 7 8 9 9 9 9 10 10 11 12 11 11 11 10 10 9 9 8 8 9 9 9 8 8 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 11 11 11 11 11 11 10 9 8 6 4 5 6 7 7 8 9 10 10 9 9 10 11 12 13 13 12 11 10 9 9 9 9 8 6 4 2 1 -1 -2 -2 -0 4 8 11 13 14 15 16 18 19 19 19 19 20 21 22 23 22 19 16 14 12 11 11 13 14 16 16 15 13 11 10 9 9 nan
nan 10 10 11 12 13 13 13 12 11 10 9 9 9 9 9 9 8 8 8 9 11 13 14 14 14 13 12 11 10 10 9 7 5 3 3 6 9 11 12 12 11 10 9 9 8 9 9 9 9 8 8 7 7 7 6 6 6 7 7 8 9 8 8 8 8 9 10 12 12 12 12 11 10 10 10 9 9 9 9 8 8 8 8 9 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 9 9 10 11 11 11 11 11 10 10 10 9 7 6 6 6 6 7 8 9 8 7 7 7 9 10 11 12 12 12 12 12 11 11 10 8 6 3 2 1 2 3 4 7 10 14 17 18 18 18 19 21 23 23 22 22 21 20 19 18 17 17 17 17 16 15 15 15 15 15 14 13 12 10 9 9 9 9 nan
nan 9 10 11 12 13 13 12 11 11 10 10 10 9 9 8 8 8 8 8 9 11 13 14 14 13 12 11 10 10 10 9 8 6 5 5 7 10 11 12 12 11 10 10 10 9 9 9 8 8 8 7 7 7 6 6 6 7 8 9 9 9 8 7 8 8 10 11 12 12 12 12 11 11 10 9 9 9 9 9 8 7 8 9 10 11 11 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 11 11 10 10 9 9 8 9 10 10 11 11 10 10 10 10 9 9 8 7 7 6 7 8 9 8 7 5 6 8 10 11 12 11 11 12 13 14 14 14 12 9 6 6 6 8 10 12 14 17 20 22 22 21 19 20 22 24 24 22 20 19 17 15 13 11 10 10 11 12 14 16 18 19 18 16 13 10 10 9 9 9 10 10 nan
nan 9 9 10 11 12 12 11 11 10 10 10 10 10 9 8 7 7 7 8 10 11 12 13 13 12 12 11 11 11 11 10 9 7 7 7 9 10 11 12 11 11 11 10 10 10 9 9 8 8 8 7 7 6 6 6 7 8 9 10 10 9 8 8 8 9 10 12 12 12 12 12 12 11 10 9 9 10 10 9 8 8 9 11 12 12 11 11 10 10 10 10 10 9 9 9 10 10 10 10 10 10 11 11 10 10 10 9 9 10 10 10 10 10 10 10 9 10 9 9 8 8 7 7 8 8 9 8 7 6 8 10 12 13 12 11 12 13 14 16 18 18 16 13 11 12 13 15 17 19 20 21 22 22 19 17 15 16 17 17 16 14 13 11 10 9 8 8 8 9 10 13 15 18 19 20 18 15 11 9 9 9 10 9 9 9 nan
nan 8 9 10 11 12 12 11 10 10 10 10 10 10 9 8 7 7 6 7 9 10 11 12 13 13 12 12 12 11 11 11 10 9 9 9 10 11 11 11 11 11 11 11 11 10 10 9 9 8 8 7 6 6 6 6 8 9 11 11 10 10 9 8 9 10 11 12 11 11 11 12 12 12 11 11 10 10 10 10 10 10 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 8 8 8 10 12 12 12 12 11 12 13 15 16 17 18 16 15 14 14 15 16 17 18 19 19 17 15 12 9 10 11 12 12 10 9 9 9 9 10 10 11 11 12 13 15 16 17 18 18 16 14 11 10 10 10 10 10 10 10 nan
nan 9 9 10 11 12 11 10 10 10 10 10 10 9 9 8 7 6 6 7 8 9 11 12 13 13 12 12 12 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 10 9 9 8 8 8 7 7 7 7 7 9 10 11 11 10 10 9 9 10 11 11 10 10 9 10 10 11 12 12 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 9 9 9 9 9 9 10 10 11 11 11 10 10 11 12 13 14 13 13 12 12 12 13 13 14 14 14 14 14 12 11 11 11 13 15 15 15 14 14 14 14 14 15 15 15 13 12 12 13 13 13 14 14 14 13 12 12 11 11 11 11 11 10 nan
nan 10 11 12 12 12 11 10 10 10 10 10 9 9 8 7 6 5 5 5 7 9 10 12 13 13 12 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 12 11 11 10 9 9 9 9 9 9 8 8 8 9 9 10 11 11 10 10 9 10 11 10 9 9 9 9 9 8 9 10 11 11 11 11 11 12 13 13 13 13 12 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 9 9 9 9 8 9 9 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 11 12 12 13 13 13 14 15 16 18 19 20 20 19 19 18 18 17 17 17 16 14 12 11 10 10 10 10 11 11 12 13 13 13 12 12 11 11 11 11 nan
nan 11 11 12 12 11 11 10 10 10 10 10 9 9 8 7 6 5 4 5 7 9 11 12 12 12 11 10 10 10 9 9 10 10 10 10 10 11 11 11 11 11 12 11 11 10 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 10 10 11 11 10 9 8 9 10 9 8 8 9 9 10 10 10 11 11 12 13 13 12 11 11 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 9 9 9 9 10 9 9 10 9 9 9 9 9 9 9 9 9 9 10 12 13 14 15 15 16 17 17 18 18 18 18 18 16 15 15 14 14 13 13 12 11 10 10 10 10 10 10 10 10 11 12 12 13 12 12 11 11 11 nan
nan 11 11 12 12 11 10 10 10 10 10 10 9 9 8 7 6 4 4 4 7 9 11 12 12 11 10 9 9 8 8 9 10 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 12 11 11 11 12 12 11 10 9 10 11 10 9 9 9 10 11 11 11 11 11 11 12 12 12 11 10 10 9 10 10 9 10 10 10 10 10 10 10 10 10 11 11 11 12 12 11 11 11 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 8 7 6 7 8 10 12 14 16 16 16 15 15 14 14 14 14 14 14 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 9 10 10 11 11 11 12 12 11 11 11 11 nan
nan 11 11 11 11 11 11 10 10 10 10 10 9 9 9 8 6 5 5 5 7 10 12 12 12 10 9 8 7 7 8 9 10 11 11 11 11 11 11 11 11 11 10 10 10 11 11 10 10 10 9 9 9 10 10 10 10 10 11 11 12 12 12 13 13 12 11 10 11 11 10 9 9 9 11 12 13 13 12 12 12 12 12 12 11 10 8 8 9 10 11 11 12 11 11 11 11 11 11 11 11 11 11 12 12 12 11 10 10 10 10 10 10 10 11 11 11 11 11 10 9 9 9 8 8 7 6 5 5 4 4 5 6 6 6 6 6 7 7 7 6 3 3 5 8 12 14 16 16 16 15 13 13 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 11 11 11 11 11 10 10 10 nan
nan 11 11 12 12 12 12 11 11 10 10 10 10 9 9 8 7 6 6 7 9 11 12 12 11 10 8 7 6 6 7 9 11 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 9 9 8 8 9 9 10 10 10 10 11 11 12 12 13 13 12 11 10 10 11 11 10 9 8 9 10 12 13 14 13 13 13 15 15 15 14 12 9 8 9 10 12 13 14 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 9 8 8 8 8 7 6 5 4 3 2 2 2 1 1 1 2 4 4 3 1 -1 0 5 10 14 15 15 15 14 13 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 11 11 10 10 10 10 9 nan
nan 11 12 12 12 12 12 12 12 11 11 11 10 10 9 8 7 7 7 8 10 12 12 12 10 9 8 7 6 6 7 9 11 12 12 12 11 11 11 10 11 10 10 10 10 10 10 9 8 8 8 8 9 9 10 10 11 12 12 12 12 12 12 12 11 11 10 10 11 11 11 10 9 9 10 11 12 13 12 12 13 16 18 20 20 17 14 12 11 10 11 12 14 15 16 17 17 17 17 16 15 14 13 12 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 7 6 4 3 2 1 -1 -2 -2 -0 1 2 1 -1 -1 3 9 15 17 16 14 13 13 13 11 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 9 9 10 10 11 10 9 9 10 10 10 10 10 10 10 10 10 9 9 nan
nan 11 12 12 12 11 11 11 11 12 12 11 11 10 9 8 8 7 8 9 11 12 12 11 10 9 8 7 6 7 8 9 11 12 12 12 11 11 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 10 11 11 12 13 13 13 12 12 11 11 12 12 12 12 13 12 12 11 10 9 10 10 11 11 11 10 11 12 14 16 20 20 19 18 17 14 13 12 13 14 16 17 18 19 20 20 19 18 15 14 12 12 11 11 11 11 11 10 10 9 9 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 7 6 4 3 2 3 4 5 5 4 4 6 11 16 20 19 16 14 12 12 12 11 10 9 10 10 10 9 9 9 10 9 9 10 10 10 9 9 9 10 11 11 11 10 9 9 10 10 10 10 10 10 10 10 9 9 nan
nan 11 11 11 10 10 10 10 10 11 11 11 11 10 9 8 8 8 8 9 11 11 11 11 10 9 8 7 7 7 8 9 11 12 12 11 11 11 10 10 11 11 11 10 10 10 9 9 8 8 8 9 10 11 12 12 12 13 13 13 12 12 12 12 13 14 14 14 13 13 12 11 10 10 9 9 9 9 9 9 9 8 7 8 10 15 18 19 19 17 15 14 12 12 12 13 14 15 16 17 17 17 16 15 13 12 11 11 11 12 12 11 10 9 7 7 7 7 7 7 6 6 6 7 7 8 8 9 9 9 9 9 9 9 10 10 11 11 11 11 12 14 17 19 19 17 15 13 12 11 11 11 10 9 10 10 10 10 10 9 9 9 9 10 10 10 10 9 9 10 11 11 11 11 10 10 9 9 10 10 11 10 10 10 9 9 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
5 4 3 2 2 2 2 1 1 1 1 1 0 0 0 0 1 18 113 295 485 664 870 1118 1360 1498 1543 1566 1603 1657 1726 1804 1878 1944 2006 2058 2090 2096 2066 1993 1913 1861 1810 1766 1738 1733 1751 1781 1809 1836 1854 1870 1903 1952 1984 1981 1939 1881 1849 1838 1786 1629 1399 1149 929 750 614 508 414 327 258 191 129 84 64 69 90 109 118 131 162 227 325 447 583 723 853 976 1051 1045 949 783 623 536 466 414 377 350 334 334 352 335 308 282 254 220 187 144 105 77 49 26 19 29 39 34 30 29 32 41 55 68 100 166 257 320 313 236 150 106 78 60 47 38 31 22 11 6 2 3 7 13 23 33 48 63 63 56 45 32 29 41 56 52 34 17 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0
3 2 1 1 1 2 1 1 1 1 1 0 0 0 0 0 0 2 11 44 111 197 333 570 910 1250 1458 1539 1596 1653 1711 1762 1812 1876 1949 2022 2069 2075 2024 1927 1852 1816 1792 1772 1762 1766 1788 1821 1857 1895 1919 1947 1982 2013 2023 2010 1963 1904 1863 1827 1733 1535 1300 1044 839 677 544 429 333 269 207 141 79 38 20 18 26 32 31 36 46 72 120 183 269 376 496 619 702 706 624 501 435 368 316 285 257 225 211 225 236 219 189 153 114 79 63 53 48 31 14 6 4 6 6 3 1 2 5 8 9 15 43 92 154 215 245 224 178 133 100 78 61 47 35 20 7 2 0 0 2 4 7 12 24 37 44 41 31 17 21 33 33 22 11 6 4 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
2 1 0 0 1 1 1 1 1 1 0 0 0 0 1 1 2 3 3 4 14 33 71 160 344 641 950 1176 1323 1468 1628 1767 1847 1889 1943 2008 2053 2051 1986 1880 1813 1798 1803 1808 1808 1813 1833 1864 1908 1944 1971 2001 2037 2069 2089 2092 2044 1974 1904 1810 1653 1423 1168 937 762 628 515 435 394 341 227 128 60 23 8 6 9 11 5 4 4 11 25 49 88 148 241 336 415 446 406 348 310 249 194 173 165 148 146 134 140 135 111 75 39 19 18 14 15 10 3 1 1 1 1 2 2 2 2 1 0 3 13 44 96 154 193 197 155 107 70 44 26 16 11 6 2 1 0 0 1 1 1 1 13 22 22 15 9 5 13 17 12 6 4 4 4 4 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
2 1 1 1 2 1 1 1 1 1 1 1 0 0 1 1 2 2 2 2 3 5 9 20 61 164 326 534 709 904 1157 1464 1750 1895 1927 1975 2029 2058 2030 1950 1874 1846 1853 1868 1871 1868 1873 1892 1932 1975 2017 2061 2109 2163 2226 2260 2180 2047 1913 1747 1526 1268 1009 815 676 569 472 412 398 326 195 97 40 12 3 2 4 6 3 1 1 1 2 6 14 31 66 124 195 250 277 309 320 230 127 82 87 92 96 90 80 69 51 28 8 2 3 2 3 2 2 1 1 1 2 2 2 2 1 1 0 0 2 19 57 103 125 116 83 49 25 10 2 1 1 1 2 2 2 1 1 2 1 1 5 9 8 2 0 1 4 6 6 8 9 5 5 6 4 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
2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 3 3 3 3 2 2 1 4 17 52 130 233 376 574 834 1131 1369 1477 1570 1720 1899 2038 2082 2037 1970 1946 1947 1945 1933 1916 1912 1937 1994 2076 2169 2257 2341 2418 2379 2202 1975 1752 1519 1261 1001 794 662 562 461 356 266 205 147 87 43 17 5 2 1 1 2 2 1 1 1 1 1 0 2 8 30 72 123 173 220 184 81 27 23 37 52 50 39 31 24 15 6 2 2 2 2 1 0 0 0 0 1 1 1 1 1 1 0 0 0 0 7 24 45 56 48 29 13 5 2 0 1 1 1 2 3 3 2 2 2 1 0 0 1 2 0 0 0 1 2 2 4 11 7 7 7 7 6 5 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 2 2 2 2 1 1 2 1 1 1 1 1 1 2 2 2 3 3 3 3 2 1 1 1 1 4 17 51 112 193 290 412 569 695 824 1060 1392 1746 2029 2161 2129 2073 2043 2022 1996 1964 1945 1968 2057 2180 2305 2386 2398 2342 2148 1874 1598 1343 1115 912 735 600 495 404 298 195 113 56 29 17 9 4 2 2 1 1 1 1 1 1 1 0 1 1 1 1 2 12 35 67 87 53 20 9 14 22 26 19 7 1 0 0 0 1 1 1 1 0 0 0 0 1 1 0 1 1 1 1 0 0 0 0 1 5 11 17 13 5 2 1 1 0 1 1 1 1 1 2 2 2 1 1 0 0 0 0 0 0 0 0 1 7 19 12 6 4 6 8 10 9 9 7 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 1 1 1 2 2 1 1 1 1 1 1 1 1 2 3 3 3 4 3 3 2 2 1 1 1 0 1 6 19 37 55 78 128 202 311 514 830 1233 1658 2008 2167 2170 2146 2116 2083 2052 2038 2084 2196 2275 2288 2192 1976 1681 1403 1178 973 789 641 528 431 327 248 188 127 71 30 7 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 2 4 8 7 5 5 7 9 7 4 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 1 2 3 2 1 1 0 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 5 3 1 1 3 6 11 12 12 13 12 9 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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