Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 7 7 7 7 7 6 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 6 7 7 7 7 8 8 8 8 9 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 7 7 8 8 8 7 7 8 8 10 12 13 11 8 6 5 4 4 3 3 2 2 2 2 3 3 4 4 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 8 9 10 10 10 10 10 11 11 11 10 9 7 5 4 4 4 4 4 4 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 5 5 4 4 4 5 6 6 7 7 7 7 7 7 7 6 5 5 5 5 5 4 3 3 5 8 10 nan
nan 8 7 7 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 9 9 8 8 8 8 7 7 7 7 8 9 10 10 10 8 6 4 4 4 4 3 3 2 2 2 3 3 4 4 4 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 8 9 10 11 12 13 14 15 14 11 7 5 4 4 4 4 4 4 4 5 5 6 6 7 7 7 7 7 7 7 7 7 6 5 5 5 5 5 5 5 5 6 7 7 7 7 7 7 7 6 6 5 5 6 5 4 3 3 5 7 9 nan
nan 8 7 8 8 9 8 8 8 8 8 8 7 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 9 8 8 7 7 7 8 8 8 8 8 9 11 11 10 8 8 7 7 7 6 6 6 7 7 8 10 11 9 7 5 5 4 4 5 5 4 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 6 6 6 6 5 5 6 6 6 7 9 11 14 18 22 23 18 12 8 5 4 4 4 4 4 4 5 5 5 6 6 6 7 7 7 7 7 7 6 6 5 5 5 5 5 5 5 5 6 6 7 8 8 7 7 7 6 6 5 5 6 5 4 3 3 4 6 9 nan
nan 7 7 7 8 8 8 7 7 8 8 8 8 8 8 7 7 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 9 8 7 7 7 7 7 7 7 8 9 9 9 9 9 8 8 7 7 7 7 8 8 9 9 9 10 10 10 9 8 7 7 6 6 6 6 6 7 8 10 11 10 8 6 5 5 5 6 7 6 5 4 4 3 3 3 4 4 4 4 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 4 5 8 13 21 28 29 24 17 12 8 6 5 4 4 4 4 4 4 5 5 6 6 7 7 7 7 7 6 6 6 5 5 5 5 6 6 5 5 5 6 7 7 8 8 7 7 7 6 6 5 6 5 4 3 2 3 6 8 nan
nan 7 7 7 7 8 8 7 7 7 8 8 8 8 7 7 6 6 5 6 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 6 5 5 6 7 8 8 8 8 7 7 6 7 7 7 7 8 8 8 9 10 10 9 7 7 7 7 7 7 8 9 8 8 9 9 9 9 9 8 7 6 6 6 6 7 7 8 8 9 8 7 6 6 6 7 8 8 8 7 6 5 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 3 3 4 10 19 25 26 24 20 15 12 10 8 7 6 5 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 6 6 5 5 5 4 5 6 7 7 8 7 7 7 6 6 6 6 6 5 3 3 3 5 7 nan
nan 6 6 7 7 7 8 8 7 7 8 8 8 7 7 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 6 6 6 6 7 8 8 8 8 7 7 7 6 6 7 7 7 7 8 9 10 9 8 7 7 7 8 7 7 7 8 8 8 8 9 9 9 9 8 7 7 7 7 7 7 8 8 7 7 6 5 6 8 9 9 10 10 9 9 8 7 5 5 5 5 5 4 4 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 4 2 2 5 10 14 16 17 17 18 18 18 16 13 9 6 5 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 6 5 5 5 4 4 4 5 6 7 8 8 7 7 7 6 6 6 6 5 4 3 3 4 6 nan
nan 6 7 7 7 7 8 8 7 7 8 8 7 6 7 7 7 7 7 6 6 7 8 8 8 7 7 7 7 8 7 7 7 8 8 7 7 8 8 8 8 8 8 8 8 8 7 7 6 6 7 7 7 7 8 9 9 8 8 7 8 8 8 8 7 7 7 8 8 9 10 10 9 8 9 9 10 9 8 7 8 8 7 6 5 5 7 10 12 13 12 12 11 10 9 8 7 6 5 5 5 5 5 5 6 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 4 2 2 3 4 6 9 13 18 22 25 25 22 16 11 7 5 5 5 5 5 5 5 5 5 5 6 7 7 6 6 5 5 5 5 5 5 5 4 4 4 5 6 7 8 8 7 7 6 6 6 6 5 4 4 4 4 5 nan
nan 7 7 8 7 7 7 8 8 8 7 7 6 6 6 7 7 7 7 6 6 6 8 9 9 8 7 6 6 7 7 8 9 9 9 8 8 9 9 9 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 9 8 7 8 8 9 8 8 8 8 7 7 8 9 9 9 8 9 10 10 9 8 7 7 7 7 6 6 6 9 11 13 15 15 14 13 12 11 9 8 7 6 5 5 5 5 6 7 7 8 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 7 7 5 4 3 2 1 2 6 13 20 28 31 29 23 16 10 7 6 5 5 5 5 5 5 5 5 6 7 7 7 6 6 5 5 5 5 5 5 5 4 4 5 6 7 7 8 7 7 6 6 6 6 5 5 5 5 4 5 nan
nan 8 8 8 8 7 7 8 8 8 7 7 6 6 7 7 7 7 8 7 7 6 8 10 10 9 7 6 6 7 7 8 9 9 9 9 9 9 9 9 8 7 7 7 8 8 9 9 8 8 8 8 9 9 9 9 9 9 8 7 7 8 9 9 10 10 8 7 6 7 8 8 8 8 9 9 9 8 8 8 8 7 7 6 6 7 9 10 11 13 15 16 15 14 12 11 10 9 7 6 5 5 6 7 8 8 9 9 9 8 7 7 7 6 6 6 6 6 6 6 7 7 6 6 6 7 7 7 8 7 7 6 4 1 -1 0 5 13 23 30 32 27 20 14 10 8 6 5 5 5 5 5 5 5 6 7 7 7 7 6 6 5 5 5 5 5 5 5 4 4 5 6 7 7 7 7 7 7 6 6 6 6 6 5 5 5 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 10 10 9 8 8 8 8 8 9 9 9 8 8 9 8 8 9 9 8 7 7 8 8 8 8 8 8 8 9 9 10 10 10 10 9 9 8 7 8 9 9 10 10 9 8 6 6 7 7 8 8 8 9 8 8 8 8 8 7 6 6 6 7 8 8 9 10 12 14 15 14 13 12 11 10 9 7 6 6 7 8 9 9 10 10 10 9 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 6 4 1 -1 0 6 15 24 30 29 24 17 12 9 7 6 6 6 6 5 5 5 6 7 7 8 7 7 7 6 5 5 5 5 6 5 5 4 4 5 6 7 7 7 7 6 6 6 6 6 6 6 5 5 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 7 8 8 8 8 8 8 7 7 7 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 7 8 8 8 9 9 10 10 11 12 12 12 12 11 10 8 8 8 9 9 10 10 11 11 11 10 9 9 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 5 2 1 2 9 19 27 29 26 21 15 10 8 7 6 6 5 5 5 5 6 7 7 8 8 7 7 6 5 5 5 5 6 6 5 5 5 5 6 6 7 6 6 6 6 6 6 6 6 6 6 5 nan
nan 7 8 8 7 7 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 7 7 8 8 8 8 8 7 7 8 8 7 7 7 7 7 7 7 8 8 8 9 9 9 8 7 8 8 8 8 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 7 6 6 7 8 9 9 9 9 9 8 9 10 11 11 12 11 10 9 9 9 10 10 11 11 11 11 11 11 10 10 10 9 9 8 8 7 7 7 6 6 6 6 7 6 6 6 6 6 7 8 8 9 9 7 5 3 6 14 22 27 27 24 17 11 8 7 6 5 5 5 5 5 6 6 7 7 7 7 7 6 5 5 5 5 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 6 7 8 7 7 7 8 8 8 8 8 8 9 9 9 10 10 9 8 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 8 7 7 7 8 8 8 8 9 9 9 8 7 7 7 7 8 8 8 8 8 8 7 6 6 7 9 9 10 9 9 8 8 8 8 9 10 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 8 5 5 10 16 23 27 25 18 13 9 7 6 5 5 5 5 5 6 6 6 6 7 7 7 6 5 5 5 5 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 5 6 7 7 7 7 8 8 8 8 8 8 8 9 10 11 10 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 9 9 9 8 8 8 7 7 8 8 8 8 8 9 9 8 8 7 7 8 8 9 9 9 9 8 7 6 6 7 8 9 9 9 8 8 8 8 8 8 9 9 9 10 10 11 11 11 10 10 10 10 10 10 11 12 12 12 12 11 11 10 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 9 10 9 7 6 7 11 18 24 24 19 14 10 7 6 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 5 5 6 7 8 8 7 8 8 8 8 8 9 9 10 10 9 7 6 7 8 8 8 8 8 8 7 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 7 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 9 9 8 7 7 7 8 9 9 8 7 7 8 8 8 8 8 8 8 8 9 10 10 11 10 9 9 8 8 8 9 10 11 11 12 12 12 11 11 10 10 9 9 9 9 9 8 8 8 7 8 8 8 7 7 7 8 9 9 9 7 6 8 14 19 20 19 16 12 9 7 6 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 nan
nan 6 5 5 6 7 7 7 7 7 8 8 8 9 10 10 9 7 6 6 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 8 7 7 7 8 8 8 8 8 9 9 8 7 6 6 7 8 8 8 8 8 8 7 8 9 10 11 10 9 8 7 7 7 8 9 9 10 11 11 11 11 11 11 11 10 11 11 10 10 10 9 9 8 8 8 8 8 7 7 7 8 9 9 8 7 7 10 13 16 18 17 15 12 10 8 6 6 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 nan
nan 7 6 5 6 7 7 7 7 7 7 8 8 9 10 9 8 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 7 6 6 7 7 7 7 7 7 7 8 8 8 9 9 9 9 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 10 10 10 9 7 6 6 7 8 8 9 9 9 9 8 7 6 6 7 8 8 8 8 8 8 8 9 10 11 11 10 8 7 7 7 7 7 8 8 9 9 10 10 10 11 11 11 12 12 12 12 12 11 10 10 9 9 8 8 8 8 7 7 7 8 9 9 8 7 7 9 12 15 16 17 16 14 12 9 8 6 6 5 5 5 5 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 nan
nan 7 6 5 6 6 7 7 7 7 7 7 8 9 10 9 7 6 7 7 8 7 7 7 7 7 7 8 8 9 9 10 10 9 8 8 8 9 9 8 7 7 6 7 7 7 6 6 7 7 8 8 9 9 9 9 9 8 7 7 7 7 8 8 8 9 9 9 9 9 10 10 9 10 10 9 9 8 7 7 8 9 10 10 10 9 8 8 7 7 7 8 8 7 7 8 9 9 10 10 11 11 10 9 8 7 7 7 7 8 8 8 8 8 9 9 10 11 12 12 12 13 13 13 12 12 11 10 10 9 9 8 8 8 7 7 8 8 9 9 8 7 7 8 10 13 16 17 17 16 13 11 9 7 6 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 nan
nan 7 6 6 5 6 6 7 7 7 7 7 8 9 10 9 7 6 6 7 7 7 7 7 7 7 8 8 9 9 10 11 11 10 9 8 8 8 9 8 8 7 7 7 6 6 7 7 7 8 8 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 9 10 10 10 10 10 9 8 8 7 7 8 8 8 8 8 9 9 9 10 11 10 10 9 8 8 8 8 8 8 8 8 8 8 7 8 9 10 11 11 12 13 13 13 13 12 12 12 11 10 10 9 9 8 8 8 8 8 8 9 9 9 8 7 8 10 13 16 18 18 17 14 12 10 8 7 6 6 7 7 7 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 nan
nan 7 6 5 5 5 6 6 6 7 7 8 8 9 9 8 7 6 6 7 7 7 7 7 7 7 8 8 9 9 9 10 10 9 9 8 7 7 7 8 7 7 7 7 6 6 7 7 8 8 8 9 10 10 10 9 8 7 7 7 7 7 7 8 8 8 8 7 8 8 9 9 9 9 8 9 8 8 8 9 10 10 10 9 9 10 9 9 9 8 8 9 9 9 9 9 9 8 8 9 10 10 9 9 9 9 9 10 10 10 10 9 8 7 6 6 7 8 9 10 11 12 12 12 13 13 13 13 12 12 11 11 10 10 9 9 9 8 8 8 9 10 9 9 8 8 9 12 15 17 18 17 15 13 10 9 8 8 7 7 7 7 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 6 6 5 5 5 6 6 7 8 8 8 8 8 7 6 6 6 6 7 7 7 7 7 7 8 8 7 7 7 8 8 8 7 6 5 5 6 6 6 6 7 7 6 6 6 7 7 7 8 9 10 10 10 8 7 7 7 7 7 8 8 7 7 8 8 8 8 9 9 10 9 9 8 8 8 9 9 10 11 10 10 9 9 9 9 10 10 9 9 10 10 9 9 8 8 7 8 9 9 9 9 9 8 9 10 12 13 13 12 11 8 6 5 5 6 7 8 9 10 11 11 12 12 13 13 13 13 13 13 13 12 12 11 10 10 9 9 8 8 9 10 10 9 8 8 8 10 14 16 17 16 15 13 11 10 9 8 8 7 7 7 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 8 7 6 6 6 6 6 6 7 8 8 8 8 8 7 6 6 6 7 7 7 7 7 7 7 8 8 7 7 7 6 7 6 6 5 4 3 4 4 5 5 6 6 6 6 6 7 7 7 7 8 9 10 10 8 7 7 7 7 7 8 8 7 7 8 8 9 9 10 10 10 9 9 9 8 8 8 9 10 11 11 10 9 9 9 9 10 10 10 9 9 9 8 8 8 7 7 8 8 9 9 9 9 9 9 10 11 12 12 12 10 8 6 5 4 5 6 7 8 9 10 10 11 12 12 13 13 14 14 14 14 14 14 13 12 11 11 10 9 9 8 9 10 10 10 8 7 8 10 13 15 16 17 15 14 12 11 10 9 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 8 8 7 7 7 8 8 7 7 7 7 7 8 8 7 6 6 7 7 7 7 7 7 7 7 8 8 8 7 7 7 6 6 5 5 4 4 4 4 4 5 5 6 6 7 7 7 7 7 8 8 9 10 9 9 8 8 8 7 7 7 7 7 7 8 8 9 9 10 10 10 9 9 9 9 9 9 9 10 11 11 10 10 9 9 10 10 10 9 9 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 10 10 9 8 6 5 4 4 5 6 7 8 9 10 11 12 12 13 13 14 14 15 15 15 15 15 14 13 12 11 10 9 9 9 9 10 11 10 8 7 8 9 12 15 17 17 16 14 13 11 10 9 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 9 8 8 8 8 8 9 9 8 8 7 7 8 8 7 6 6 7 8 8 8 8 8 7 7 8 8 9 10 9 7 7 7 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 9 10 10 10 9 9 10 10 10 10 10 10 10 10 10 9 8 8 7 6 6 6 7 8 8 8 7 7 8 8 9 9 8 8 8 8 8 8 8 7 6 4 4 4 5 6 7 9 10 11 11 12 12 12 13 13 14 15 16 16 16 15 14 13 12 12 11 10 9 9 10 11 11 10 8 7 7 9 13 16 17 17 17 15 14 12 11 10 9 8 7 7 7 7 7 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 nan
nan 9 9 8 8 8 8 9 9 9 9 8 8 8 7 7 7 7 8 9 10 10 11 10 10 9 9 10 12 12 11 9 8 7 7 6 6 7 8 7 7 7 8 9 9 9 9 9 9 8 8 8 8 8 8 7 7 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 10 11 10 10 9 9 9 9 9 9 9 9 10 9 9 8 7 7 6 6 6 7 7 7 7 7 7 7 8 9 9 8 8 8 8 8 8 8 8 7 6 5 4 4 5 7 9 10 10 10 10 10 11 12 13 14 15 16 16 16 16 15 14 13 13 12 11 10 9 9 10 11 11 10 8 6 7 10 13 16 18 18 17 16 15 13 12 10 9 8 8 7 7 7 7 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 nan
nan 8 8 8 8 8 8 8 9 9 9 9 8 7 7 7 7 8 9 10 11 11 12 12 12 12 11 12 14 14 13 10 9 8 7 7 7 7 8 8 8 8 8 9 11 11 11 10 10 9 7 7 7 7 7 6 7 8 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 7 6 6 6 7 8 8 7 7 7 7 7 7 8 9 9 8 8 8 8 8 8 8 8 7 7 5 4 4 5 7 9 9 9 8 8 9 11 12 13 14 15 16 16 16 16 16 15 14 13 13 12 11 10 10 10 11 11 11 9 7 6 8 10 14 17 19 19 18 17 15 14 12 11 10 9 8 7 7 7 6 6 6 7 7 7 7 7 7 6 6 5 6 6 6 6 nan
nan 8 8 8 8 7 7 7 8 9 9 9 8 7 7 7 8 8 9 11 11 10 10 11 11 11 11 12 14 14 13 11 9 8 8 7 7 8 8 9 9 8 8 8 10 11 11 11 10 9 7 7 7 7 6 6 7 8 9 9 9 10 10 11 11 11 11 10 10 9 9 8 8 9 10 10 10 9 9 9 8 9 9 9 9 9 9 9 8 7 6 5 5 6 8 9 8 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 8 8 7 7 5 4 4 5 6 6 6 6 6 7 10 12 13 14 14 15 15 16 16 16 16 16 15 14 14 13 12 12 11 11 11 11 11 10 8 7 6 8 11 15 18 19 19 19 18 16 14 13 11 10 9 8 7 6 6 6 6 7 7 7 7 7 7 7 6 6 6 5 6 6 nan
nan 8 8 8 8 7 6 6 8 9 9 9 8 7 7 8 8 8 9 9 9 9 9 9 10 10 10 11 12 13 12 10 8 8 8 8 7 8 8 9 10 9 8 8 9 11 11 11 11 10 9 8 8 7 7 7 8 9 9 10 10 10 10 10 11 12 11 11 11 10 9 9 9 9 9 9 9 9 8 8 8 9 9 8 8 9 9 9 9 8 7 6 6 7 7 8 8 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 8 8 7 6 5 5 5 5 3 1 1 3 7 11 13 13 13 13 13 13 14 15 15 15 15 15 15 14 14 14 13 12 12 11 11 11 11 10 8 6 6 8 11 15 17 19 20 19 18 16 15 13 12 10 9 8 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 nan
nan 8 7 8 9 8 6 6 7 8 9 9 9 8 8 9 9 8 8 7 8 9 9 9 9 9 9 9 9 10 10 8 7 7 8 7 7 8 8 9 9 8 8 9 10 11 11 11 10 10 10 9 8 7 7 8 9 10 10 10 10 9 10 11 11 11 11 11 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 7 7 7 6 7 7 7 8 8 8 8 8 8 9 9 9 10 10 10 9 9 8 7 7 7 6 5 3 -0 -2 1 6 11 11 10 9 9 9 10 11 12 12 13 14 14 14 14 14 14 14 13 13 12 12 12 12 11 9 7 5 5 7 10 14 16 19 20 20 19 17 15 14 12 10 9 8 7 7 7 7 7 8 8 8 8 7 7 7 6 6 5 5 nan
nan 8 8 8 8 8 7 7 7 8 8 8 9 10 10 10 9 8 6 6 8 9 9 9 9 9 8 7 7 8 7 7 6 6 6 6 7 7 8 8 8 8 9 9 10 10 10 9 9 9 9 8 7 7 8 10 11 11 10 8 8 9 11 12 12 11 11 10 9 9 10 10 10 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 7 7 6 6 6 6 7 8 8 8 8 8 9 9 9 9 9 10 10 10 10 9 9 9 8 8 7 5 3 1 1 5 7 6 6 5 6 6 7 8 9 9 11 12 12 13 14 14 14 14 14 13 12 12 11 11 11 10 8 6 5 4 6 9 12 16 19 20 20 19 17 16 14 12 11 9 8 8 8 8 8 8 8 8 8 8 7 7 6 6 5 5 nan
nan 9 8 8 8 8 8 8 8 8 7 8 9 11 11 11 10 8 7 6 8 10 10 9 8 8 7 7 7 7 6 7 7 7 6 5 5 6 6 7 7 8 9 10 10 9 9 8 9 9 9 8 7 7 8 10 10 9 7 6 6 9 10 11 11 11 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 9 8 8 8 8 7 6 6 6 6 7 7 8 8 8 8 9 9 9 9 9 10 10 11 11 10 10 10 10 9 8 7 4 2 2 2 2 1 1 2 4 6 6 7 7 8 8 9 11 12 12 13 13 13 13 13 12 11 11 11 11 10 9 8 6 5 4 5 8 12 16 18 20 20 20 18 16 14 13 11 10 9 9 8 9 9 8 8 8 8 8 7 7 6 6 6 nan
nan 9 8 8 8 8 10 11 11 11 10 10 11 12 12 11 11 10 10 9 10 10 10 9 8 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 7 8 9 9 9 8 8 8 8 9 8 8 7 7 7 7 6 5 4 5 7 8 8 8 8 9 10 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 9 8 8 8 8 7 6 6 6 6 7 7 8 8 8 8 9 9 9 9 9 10 10 11 11 10 10 10 10 9 6 3 1 1 -1 -3 -4 -2 2 4 6 7 7 7 7 7 8 9 11 12 12 13 13 13 12 12 11 10 10 10 10 10 9 8 7 5 5 6 8 11 15 19 20 21 20 18 16 14 12 11 10 9 9 9 8 8 8 8 8 7 7 7 6 6 6 nan
nan 10 10 10 10 10 11 13 15 15 15 14 13 12 11 10 11 12 12 11 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 6 6 5 6 7 8 8 8 7 7 6 7 7 7 7 8 8 7 6 5 4 3 4 6 8 8 7 7 7 8 9 10 10 9 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 10 10 10 11 10 10 9 8 6 3 1 0 -3 -7 -7 -3 1 4 5 6 6 7 6 7 8 9 10 11 11 12 12 12 12 11 11 10 10 9 9 9 10 10 9 8 6 6 6 8 11 15 18 20 20 19 18 16 14 12 11 10 9 9 8 8 8 8 8 7 7 7 6 6 6 nan
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nan 13 13 14 13 12 11 12 13 14 13 12 11 10 9 8 9 11 12 11 10 9 8 8 9 10 10 10 9 8 8 8 8 8 8 7 7 6 7 8 9 8 8 7 6 6 7 9 11 12 13 13 13 12 11 11 10 10 9 8 7 6 6 5 6 8 8 8 7 8 9 10 9 8 7 7 7 7 7 7 6 6 7 7 8 9 9 8 7 7 7 8 8 8 8 8 8 8 7 6 6 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 10 10 9 9 8 7 6 5 4 1 -3 -5 -6 -5 -2 1 3 4 5 6 6 7 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 10 8 7 6 8 11 14 17 19 19 18 16 15 13 12 10 9 8 8 8 7 7 7 6 6 6 6 6 nan
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nan 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 11 11 11 10 10 9 8 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 12 12 12 11 10 9 9 9 10 11 11 11 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 8 9 10 11 11 10 9 9 9 9 10 10 10 10 9 8 7 7 7 6 6 7 7 8 7 7 7 7 7 5 5 6 8 9 9 8 8 8 8 8 8 8 7 7 7 6 5 5 4 4 4 4 3 3 3 3 3 3 3 nan
nan 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 11 12 12 12 11 11 11 10 9 9 10 11 11 11 10 9 9 9 9 8 8 9 9 10 10 10 11 10 9 9 9 10 10 11 10 9 8 8 8 9 9 10 11 11 10 10 9 9 8 7 7 8 7 7 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 10 11 11 10 10 9 9 9 9 9 10 10 11 10 9 8 7 7 6 6 6 7 7 8 8 8 8 8 7 7 8 10 10 9 9 9 10 10 10 10 10 10 9 9 8 7 6 6 5 5 4 4 3 3 3 3 3 3 nan
nan 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 10 11 12 12 11 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 9 8 8 9 9 9 10 10 9 8 7 7 8 8 8 7 6 6 6 7 9 9 10 10 10 9 9 9 9 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 10 9 8 7 7 7 7 7 7 6 7 8 9 9 9 9 9 10 10 10 9 9 10 11 11 11 12 12 11 11 10 10 9 9 8 7 7 6 5 4 4 4 4 4 4 nan
nan 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 8 8 8 9 8 8 8 8 8 7 7 8 7 7 6 5 5 6 7 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 10 11 11 11 10 9 9 9 9 9 10 11 12 12 11 11 10 10 10 8 7 7 7 8 8 9 8 7 7 8 10 11 11 11 11 11 11 10 10 10 11 11 12 12 12 12 12 12 12 11 11 11 11 10 9 8 7 6 5 5 5 5 5 nan
nan 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 12 11 11 11 10 11 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 10 11 11 12 12 13 14 15 15 14 13 12 10 10 9 9 9 8 8 8 8 8 8 8 8 7 7 7 6 6 6 7 8 8 8 8 8 8 9 9 9 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 9 9 9 10 11 12 12 11 10 10 9 9 9 9 9 10 11 11 11 10 10 10 9 8 8 7 8 8 9 9 9 9 8 9 9 10 11 11 12 11 11 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 11 10 9 8 7 7 7 7 7 7 nan
nan 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 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 10 11 12 14 14 15 16 17 17 17 15 14 14 13 13 12 11 9 8 8 8 9 10 10 9 9 8 8 8 7 7 7 8 9 9 8 8 9 9 9 9 9 10 11 11 11 11 10 9 9 10 10 10 9 8 8 8 8 9 9 9 10 10 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 11 11 10 9 9 9 9 9 9 nan
nan 9 9 10 10 10 9 9 9 9 9 10 10 10 10 11 11 12 12 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 10 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 12 14 16 17 16 15 15 15 14 14 13 13 14 14 14 12 11 10 9 9 10 11 12 12 11 10 9 9 9 9 8 8 9 9 9 9 9 10 10 9 9 9 9 10 10 11 11 10 9 9 10 11 11 10 10 9 9 9 9 10 10 10 10 10 10 11 11 12 11 11 10 10 10 9 9 8 9 9 9 8 8 8 8 9 9 9 10 10 11 11 11 10 10 9 9 9 9 8 9 9 10 10 10 10 10 9 10 10 11 11 11 11 11 11 11 12 12 12 11 11 10 10 10 10 9 nan
nan 9 9 10 10 10 10 9 9 9 9 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 9 7 7 7 8 9 9 10 10 9 9 9 10 9 9 9 9 8 8 8 8 9 9 9 9 9 9 8 9 9 10 11 12 14 17 18 17 14 12 11 10 10 10 10 10 11 11 11 11 10 10 10 11 13 13 13 13 13 11 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 9 9 9 10 10 10 9 9 10 11 11 11 11 11 10 10 10 11 11 10 9 9 9 10 11 11 11 11 11 11 11 10 9 9 10 11 10 8 7 6 8 9 9 10 10 10 11 11 11 11 11 10 10 9 9 8 9 9 10 10 10 10 9 9 9 10 10 10 10 11 12 12 12 12 11 11 11 10 10 9 9 8 8 nan
nan 9 9 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 11 9 7 6 6 6 7 8 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 12 14 16 16 14 11 8 8 7 7 8 8 8 8 8 9 9 9 10 10 12 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 10 10 10 10 10 11 12 11 10 11 11 11 10 9 9 9 9 9 10 11 11 11 11 11 11 11 10 11 11 12 11 9 7 5 7 8 9 10 10 11 11 11 11 11 11 11 10 10 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 10 11 11 10 9 9 8 8 8 7 7 7 7 7 nan
nan 9 9 9 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 10 9 9 10 12 13 13 12 11 10 9 8 6 6 6 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 9 9 10 11 12 11 10 8 7 7 7 7 7 7 7 7 7 7 8 9 9 9 10 10 10 10 10 10 11 12 13 13 14 14 14 13 12 11 11 11 11 12 12 12 12 11 11 11 10 10 10 10 11 11 11 11 11 12 12 12 12 11 10 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 12 12 12 10 7 6 7 8 9 9 9 10 11 11 11 11 11 11 10 9 8 8 8 9 10 10 11 10 10 10 10 9 9 8 8 9 9 9 8 7 6 6 6 6 6 6 6 7 7 nan
nan 9 9 9 10 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 10 12 14 15 14 13 12 12 11 10 8 6 5 6 7 8 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 6 6 6 7 7 8 9 9 9 8 8 7 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 10 11 12 14 15 16 16 14 12 11 11 11 11 12 13 13 13 13 12 12 11 11 11 12 12 12 12 11 11 11 12 11 10 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 11 8 7 7 8 8 8 9 10 11 11 11 11 11 11 11 10 9 8 8 9 10 10 10 10 10 10 10 10 9 9 9 8 8 7 6 6 6 6 6 6 6 6 7 7 8 nan
nan 9 9 9 10 10 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 10 11 13 16 16 15 14 13 13 13 12 10 8 5 4 5 7 10 10 9 9 9 9 9 8 8 8 9 9 8 7 7 7 6 7 7 7 8 8 8 8 8 8 7 6 6 7 7 7 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 10 13 15 17 17 14 12 11 10 10 11 11 12 12 12 13 12 12 12 13 13 13 13 12 12 11 10 10 9 9 9 9 9 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 9 8 8 8 8 8 8 9 10 11 11 11 11 11 11 10 9 8 8 8 9 10 10 11 11 11 11 10 10 9 8 7 5 4 4 5 6 6 6 6 6 7 7 8 8 nan
nan 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 9 10 10 10 12 15 17 17 16 15 14 14 13 13 12 9 6 4 4 7 9 10 9 9 9 9 8 8 8 8 9 9 8 8 8 8 7 7 7 7 8 8 8 9 9 8 8 8 9 9 8 8 8 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 11 14 16 16 14 12 11 11 10 10 10 11 11 11 12 12 12 12 13 13 13 13 12 12 11 10 9 8 9 9 10 9 9 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 9 9 8 8 8 10 10 11 11 11 11 11 11 10 9 8 8 9 9 10 11 11 11 11 10 9 8 6 4 3 3 5 6 6 7 7 7 8 8 8 8 8 nan
nan 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 11 14 17 18 17 16 14 14 13 13 12 11 9 6 4 4 6 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 10 11 10 8 6 6 6 8 11 11 10 9 8 8 7 7 8 8 8 8 7 7 7 7 7 9 10 11 12 11 11 11 12 11 11 10 10 11 11 12 12 12 12 12 12 12 13 13 13 12 10 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 8 8 9 11 11 11 9 8 8 9 10 11 11 12 11 11 11 11 9 8 8 8 9 10 11 11 11 10 10 9 7 5 4 4 5 6 7 8 8 8 9 9 9 9 9 9 nan
nan 9 10 10 10 10 9 9 9 10 10 11 12 12 12 12 12 11 11 11 11 13 15 18 18 17 15 13 13 12 12 11 10 8 6 4 3 4 7 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 9 10 11 13 12 8 5 3 3 6 10 12 12 11 10 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 10 12 12 12 11 11 11 11 12 12 12 12 12 12 12 13 13 12 11 10 10 10 10 11 11 11 11 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 8 9 10 11 11 10 8 7 8 9 10 11 11 11 11 12 11 10 9 8 8 9 10 10 11 11 10 10 9 8 7 7 8 8 9 9 9 9 10 10 10 9 9 9 9 nan
nan 10 10 10 10 10 10 9 9 9 10 11 12 13 13 13 13 14 13 12 12 14 17 18 18 16 14 13 13 12 11 10 9 7 6 4 2 3 5 8 8 8 7 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 9 11 13 14 12 8 5 3 4 6 9 10 11 11 10 10 9 8 8 9 9 9 9 8 8 8 7 6 6 6 6 6 7 8 10 11 11 12 11 11 11 12 12 12 12 11 11 11 11 11 10 9 9 9 10 10 10 10 10 10 11 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 8 8 8 10 10 9 7 6 7 8 10 11 11 11 12 12 11 11 9 8 9 9 10 10 11 11 11 10 9 8 9 10 11 10 9 9 9 10 10 10 10 10 9 9 9 nan
nan 10 9 9 10 10 10 9 9 9 10 10 11 12 13 13 14 14 14 13 13 14 17 18 18 15 14 13 13 12 11 9 8 7 6 4 2 1 4 8 9 8 8 8 9 9 9 9 9 9 9 8 9 8 8 8 8 8 9 9 9 9 9 10 10 12 12 11 9 7 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 8 7 6 6 6 6 6 7 8 9 10 11 11 11 12 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 9 10 10 10 10 10 10 10 10 9 8 8 9 9 10 10 10 10 9 8 7 7 7 8 9 8 7 6 7 8 10 10 10 11 12 12 12 11 10 9 9 9 10 11 11 11 11 10 9 9 9 10 9 7 7 8 9 10 10 10 10 10 10 10 10 nan
nan 10 9 9 10 10 10 10 10 10 10 10 11 11 12 12 13 14 13 13 13 14 16 18 17 14 13 13 12 12 11 9 8 7 6 5 2 0 3 6 9 9 9 9 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 9 10 9 8 7 6 6 5 6 6 6 6 7 8 10 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 9 9 9 9 10 10 10 10 10 11 10 9 9 9 9 9 10 10 9 9 9 8 8 7 8 8 9 9 9 9 9 9 10 10 10 11 11 12 12 11 10 9 9 10 10 11 10 10 10 10 9 10 10 8 5 4 5 7 9 10 10 10 10 10 10 11 11 nan
nan 9 9 9 9 10 10 10 10 10 10 10 10 11 11 12 13 13 13 12 13 15 17 18 16 13 11 11 11 11 10 9 8 8 7 5 2 -1 2 5 8 10 10 10 11 11 12 11 10 10 10 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 9 8 8 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 6 6 6 6 5 5 7 8 10 11 11 11 11 11 10 10 11 11 12 13 13 12 11 10 9 9 9 10 11 11 10 10 10 10 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 11 11 10 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 7 5 5 6 9 10 10 11 11 11 11 11 12 12 nan
nan 9 8 9 9 9 10 10 10 10 10 10 10 11 11 12 13 13 13 13 14 16 18 18 16 13 10 9 9 9 9 9 8 8 7 5 1 -0 1 5 9 11 11 11 11 11 12 12 11 11 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 10 10 9 6 6 6 8 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 7 7 6 6 5 5 6 7 9 10 10 10 10 11 11 11 10 10 11 11 12 12 11 11 10 9 9 9 10 10 10 10 9 9 10 10 10 10 10 9 8 8 8 9 10 11 12 12 11 11 12 12 13 13 12 11 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 9 8 8 8 9 11 11 11 11 11 11 11 12 12 12 nan
nan 9 9 9 9 10 10 10 10 10 10 10 10 11 11 13 13 14 14 14 15 18 20 20 18 15 11 10 9 9 9 8 8 8 7 4 0 -1 2 6 10 11 11 11 12 12 12 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 10 10 9 9 10 12 13 9 6 4 4 6 8 9 10 10 11 11 11 11 11 11 11 10 10 9 8 8 8 8 8 8 7 6 6 5 6 8 9 9 9 9 9 10 10 10 10 10 9 9 10 10 10 10 9 9 8 8 8 9 9 8 8 8 9 9 9 9 8 7 7 7 8 9 11 12 13 13 13 14 14 14 13 12 11 10 8 8 8 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 nan
nan 9 10 10 10 10 10 10 10 10 10 9 10 10 11 12 13 13 13 14 16 20 22 22 20 16 13 12 10 10 9 9 8 8 6 2 -1 -0 3 8 10 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 14 15 11 7 4 3 3 5 7 9 10 11 11 11 11 11 11 11 10 10 9 9 8 8 9 9 9 8 7 6 5 6 6 7 7 7 8 8 8 9 9 9 8 8 8 7 7 7 7 7 7 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 8 10 11 12 13 14 14 15 14 13 12 11 9 9 8 8 8 8 9 9 10 10 10 10 10 10 9 10 10 9 9 10 10 10 10 10 10 11 12 12 11 11 11 11 11 11 10 10 9 nan
nan 10 10 10 11 11 11 10 10 10 9 9 9 9 10 12 12 12 12 13 16 20 22 22 19 16 13 12 11 11 10 9 8 7 4 1 -0 2 6 9 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 12 15 15 12 9 6 4 3 3 4 7 10 11 12 11 11 11 10 10 10 10 9 9 8 9 11 11 10 9 7 6 5 4 4 4 5 5 5 6 6 7 7 7 6 6 6 5 5 5 5 5 5 4 4 4 5 5 5 5 4 4 4 4 4 5 5 6 5 6 7 9 10 11 13 13 14 14 14 13 11 10 9 9 9 8 8 8 9 9 10 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 10 11 13 13 13 12 11 11 11 10 9 8 8 nan
nan 10 10 10 10 10 10 10 10 10 9 8 8 9 10 11 11 11 11 12 15 18 20 20 17 14 13 12 11 11 10 10 8 6 2 -0 2 6 10 10 9 8 8 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 11 13 15 14 12 9 7 5 3 3 3 6 9 11 11 11 11 10 10 9 9 9 9 9 9 10 12 12 11 9 8 6 5 4 4 3 3 3 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 6 6 7 7 6 6 7 8 10 11 12 13 14 13 13 12 11 10 9 9 9 9 8 8 8 9 10 11 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 11 12 13 14 13 12 11 10 9 8 8 7 nan
nan 10 10 10 10 9 9 9 10 10 10 9 9 9 9 10 10 10 10 11 13 16 18 18 16 13 12 11 11 10 10 9 8 5 1 -0 4 8 10 9 8 8 9 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 8 9 10 10 10 10 10 12 14 15 14 11 9 7 6 4 3 2 4 8 10 11 11 10 10 9 9 9 9 9 9 9 10 11 12 12 11 10 8 6 5 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 7 7 8 8 8 7 7 7 7 8 9 11 12 12 13 13 12 11 10 10 9 9 9 9 9 9 8 9 10 11 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 13 13 13 12 11 10 9 9 8 8 nan
nan 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 12 15 17 17 15 12 11 10 10 10 9 8 7 4 0 1 5 8 9 8 8 9 10 11 10 10 9 9 10 9 9 8 9 10 10 9 9 9 8 6 5 5 7 8 10 10 10 12 15 16 14 11 9 8 7 5 3 2 4 6 8 10 10 10 9 9 8 8 8 9 9 9 9 10 10 11 13 12 11 9 7 6 5 4 4 4 5 5 5 6 6 5 5 5 5 5 4 5 5 5 5 5 5 4 4 5 6 7 8 8 9 9 9 9 9 8 8 8 8 9 10 10 11 11 12 11 11 10 10 10 10 10 10 9 9 8 9 10 11 11 10 9 9 9 10 11 11 11 11 11 11 12 11 11 10 10 11 13 13 13 12 11 11 10 9 9 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 13 14 15 14 12 10 9 9 9 8 8 6 3 -0 1 3 6 7 8 9 10 11 11 10 10 10 10 10 10 9 8 9 10 10 11 12 12 11 7 5 3 3 5 8 9 10 13 16 16 14 11 9 8 7 5 3 2 4 5 7 8 8 8 8 9 8 8 9 9 10 10 10 10 9 10 11 12 13 13 11 9 8 7 6 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 6 6 6 6 5 5 5 6 7 9 9 10 10 10 10 10 10 10 9 9 9 8 9 10 11 11 11 11 11 12 12 11 10 9 8 8 9 10 11 11 10 9 9 9 10 11 11 11 12 12 12 12 12 11 10 10 10 11 13 14 14 15 14 12 12 11 nan
nan 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 10 11 12 13 13 12 10 9 9 8 8 7 6 2 -1 -1 1 4 7 9 10 11 11 10 10 9 9 9 10 10 9 9 8 9 10 12 15 16 14 11 7 4 1 2 5 7 9 13 16 15 13 11 9 9 8 5 3 2 3 5 6 6 6 6 7 8 9 9 9 10 11 11 11 11 10 10 10 11 12 13 13 12 12 11 10 10 11 11 11 10 10 10 9 9 10 10 10 11 11 10 9 8 8 8 7 6 6 6 8 9 9 9 10 10 11 10 10 10 9 9 8 8 9 10 10 11 12 13 13 13 14 12 10 8 7 7 8 9 10 10 10 9 9 10 10 11 11 11 12 12 13 13 12 11 10 10 9 10 12 15 17 17 15 15 15 15 nan
nan 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 9 11 13 13 11 10 9 8 8 7 6 3 0 -2 -2 2 7 9 10 10 10 10 9 9 8 9 9 10 10 9 8 8 9 12 15 18 17 15 12 8 3 2 3 5 8 11 13 13 12 10 9 9 8 6 4 3 4 5 6 6 6 6 6 8 9 10 10 10 11 13 13 13 12 11 10 10 11 11 12 12 13 13 13 13 13 14 14 14 14 14 14 14 15 14 14 14 14 13 12 11 10 10 9 10 10 11 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 10 10 12 13 13 13 14 15 13 10 7 6 7 8 9 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 11 10 9 9 11 13 14 14 14 15 16 18 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
24 19 16 14 12 10 9 12 13 13 12 10 9 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 11 14 18 22 24 24 21 17 15 13 10 6 4 3 3 4 3 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 1 2 3 10 13 8 7 5 2 3 2 0 0 0 0 0 0 0 0 0 0 1 1 2 6 9 10 10 14 19 25 27 28 29 26 19 25 37 69 122 215 398 622 631 469 353 265 197 152 126 102 72 39 17 4 1 0 0 0 0 0 0 0 0 0 1 2 4 6 8 8 10 13 14 15 15 16 19 24 31 44 53 54 52 52 47 43 35 29 23 18 13 12 19 28 34 30 24 29 47 68 67 59 57
14 13 12 12 12 13 17 22 18 13 9 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 8 8 11 15 18 19 18 15 15 13 10 7 5 4 3 4 6 5 4 1 0 0 0 0 1 0 2 3 4 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 11 10 8 9 7 9 5 1 1 1 0 0 0 0 0 0 0 1 1 1 3 6 11 15 18 21 23 26 29 33 33 28 26 29 37 55 92 183 358 569 614 580 506 399 297 232 178 123 70 35 14 5 1 0 0 0 0 0 0 0 1 2 2 4 6 7 8 10 13 15 15 13 13 15 19 26 37 47 52 51 50 50 46 38 32 28 25 18 17 20 25 29 27 21 24 41 67 65 57 52
15 10 8 9 9 12 18 21 18 13 9 8 6 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 6 9 12 13 12 11 13 12 9 6 4 3 1 3 7 8 7 3 0 0 0 0 0 1 5 9 10 9 9 9 8 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 11 11 9 11 14 25 11 6 4 3 2 1 0 0 0 0 1 2 2 1 1 3 8 12 16 19 21 22 25 29 32 30 27 26 28 31 36 50 96 169 307 510 600 548 453 374 304 217 127 67 30 11 4 0 0 0 0 0 0 0 0 2 3 4 5 7 8 9 13 15 15 12 12 13 16 21 28 37 47 50 49 49 46 40 34 31 29 23 19 20 25 29 26 18 18 32 49 62 62 49
24 12 3 4 4 7 11 15 17 15 11 9 8 7 10 11 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 10 9 7 8 10 11 10 7 3 1 0 1 7 8 5 2 0 0 0 0 0 1 7 11 13 15 16 15 14 12 9 7 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 15 21 23 16 40 28 17 11 6 2 0 0 0 0 0 0 1 2 2 1 1 5 8 11 13 16 17 18 22 25 26 24 25 27 26 23 19 23 31 63 187 322 370 382 434 433 354 248 143 66 27 9 2 0 0 0 0 0 0 0 1 3 4 5 6 8 10 15 18 19 13 11 12 13 16 24 34 43 47 49 53 53 41 37 35 31 26 21 20 23 27 25 19 18 29 49 72 79 51
32 19 6 3 4 8 10 13 14 13 11 10 11 19 23 21 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 7 7 8 12 14 14 10 5 0 0 0 5 7 5 2 0 0 0 0 0 1 5 10 13 16 16 16 17 16 14 12 9 6 3 2 3 1 0 0 0 0 0 0 0 0 0 2 4 8 15 24 30 24 35 36 35 27 10 5 1 0 0 0 0 0 0 1 1 1 1 2 5 6 6 9 9 11 14 17 19 20 21 25 27 28 20 14 14 20 42 80 116 170 391 573 608 467 267 149 76 35 14 4 0 0 0 0 0 0 1 2 3 5 6 8 10 15 15 12 10 10 10 10 13 20 28 35 41 46 50 56 46 39 36 33 28 23 21 22 28 25 20 19 29 50 77 88 60
38 24 14 8 11 16 19 17 15 14 13 14 19 26 27 19 9 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 7 8 10 13 15 14 9 4 0 0 2 6 6 3 1 0 0 0 1 2 3 4 5 7 10 11 13 15 16 16 15 13 11 10 10 10 8 6 3 1 0 0 0 0 0 0 0 1 4 8 25 33 32 33 38 48 49 17 7 3 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 4 6 8 11 14 16 18 21 26 30 24 17 12 9 8 11 28 90 313 538 646 557 361 262 181 114 54 16 3 2 1 0 1 0 0 1 3 5 6 9 10 11 11 9 10 10 10 9 14 18 21 26 33 40 44 52 51 43 38 34 30 26 24 25 29 26 21 19 22 34 60 75 66
38 21 14 11 14 21 28 28 28 25 19 17 17 17 16 11 6 5 5 4 3 2 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 2 6 10 12 11 7 3 1 0 0 3 5 5 2 0 0 0 3 6 7 6 3 1 1 2 4 9 13 15 16 16 17 17 20 20 18 17 14 10 4 0 0 0 0 0 0 0 0 1 2 11 21 29 33 36 43 57 34 20 7 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 3 4 5 7 10 12 13 16 18 21 21 18 12 5 3 2 10 47 143 248 301 301 300 291 279 244 152 56 27 13 5 3 2 1 1 1 2 3 5 7 8 9 8 9 10 11 11 12 15 17 18 20 24 32 40 47 53 48 40 36 33 28 25 29 30 26 21 18 19 29 53 75 73
25 13 10 11 10 17 29 30 27 24 20 17 14 13 13 7 4 5 8 11 10 5 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 3 8 10 7 1 0 0 0 0 1 1 0 0 0 1 5 9 10 9 7 3 0 0 0 2 7 11 13 14 16 20 24 27 27 25 23 21 18 7 1 0 0 0 0 0 0 0 0 0 2 8 18 28 33 34 48 47 35 19 6 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4 5 5 7 11 12 14 15 16 15 12 8 5 5 12 30 49 55 80 130 193 269 330 308 186 100 36 17 9 6 4 3 3 3 3 4 4 6 7 9 11 11 12 12 15 17 17 15 16 17 23 32 41 48 50 44 37 34 31 31 33 32 27 21 17 22 28 41 65 77
13 8 8 10 9 12 21 24 23 21 17 14 12 10 4 2 4 6 9 11 10 6 1 0 0 0 1 1 1 1 1 3 1 0 0 0 0 1 1 2 5 8 8 6 1 0 0 0 0 0 0 0 1 6 12 16 15 13 10 6 2 0 0 0 2 5 9 11 12 15 20 26 28 28 27 26 25 20 11 4 1 0 0 0 0 0 0 0 0 0 1 5 14 23 25 31 38 37 35 26 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 3 4 7 9 10 9 9 14 15 14 12 9 7 8 15 19 26 41 77 164 309 454 430 270 93 33 20 15 11 9 8 9 6 5 4 4 5 9 14 14 15 15 16 19 18 15 14 14 16 23 32 41 48 48 40 37 36 35 34 32 26 21 19 22 26 29 41 63
11 7 7 8 8 9 14 17 18 17 15 12 7 3 2 2 2 4 5 6 6 3 2 1 0 0 1 2 4 5 7 7 5 3 3 2 0 1 4 5 7 8 6 4 1 0 0 0 0 1 2 2 5 11 18 19 17 13 9 4 0 0 0 1 3 6 8 11 12 13 18 24 26 27 27 26 23 16 8 3 1 0 0 0 0 0 0 0 0 0 0 1 3 9 14 18 25 30 31 23 13 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 5 7 8 5 10 16 20 20 18 17 17 21 18 10 6 14 62 184 386 536 429 200 82 51 34 20 8 10 13 12 9 6 4 5 7 11 16 21 22 20 21 19 15 12 12 14 18 24 34 45 48 43 40 39 38 36 33 26 22 22 24 23 21 25 42
9 6 7 7 7 8 11 14 16 17 15 9 3 1 2 2 2 3 3 3 2 1 3 3 3 3 2 2 7 7 5 4 5 5 5 3 0 1 4 5 5 5 5 4 2 0 0 1 3 5 8 10 13 16 21 20 15 11 6 2 0 0 0 3 8 11 12 11 11 12 13 19 22 22 21 20 18 13 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 12 21 25 23 19 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 6 6 7 11 16 20 19 18 17 17 18 13 7 4 15 66 193 406 405 277 156 87 61 33 18 16 18 18 14 8 6 6 8 12 18 26 30 31 29 21 15 12 12 13 14 18 28 41 47 46 43 41 41 38 34 28 25 25 24 20 17 18 27
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