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 8 5 3 3 4 5 6 6 6 6 6 5 5 6 7 7 8 9 11 12 12 11 10 9 8 9 10 11 11 11 10 10 9 9 8 7 7 7 8 9 10 10 11 11 11 11 11 11 11 10 9 9 9 9 9 10 11 12 11 10 8 7 7 7 7 7 7 6 5 5 7 8 10 11 12 12 12 13 12 11 10 12 12 10 9 9 10 10 8 7 8 10 10 8 8 7 8 6 5 6 7 8 7 6 5 5 7 7 7 6 6 7 8 7 7 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 8 9 9 9 9 9 8 7 7 7 8 9 10 11 11 11 10 10 9 10 11 12 13 13 13 12 11 11 10 10 9 8 6 5 5 6 6 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 7 nan
nan 10 8 6 5 4 4 5 6 7 8 8 8 8 8 9 10 10 11 11 12 12 12 11 9 9 9 9 10 10 11 11 11 10 9 7 7 7 7 8 9 10 10 10 10 10 11 11 11 11 11 10 9 9 9 10 12 14 16 16 16 15 13 11 10 9 9 8 7 6 6 6 7 9 10 12 13 13 14 14 13 12 11 11 11 11 11 11 10 9 8 9 10 9 8 7 8 9 7 6 7 8 8 7 7 6 7 8 8 7 6 6 7 8 8 9 9 9 9 8 8 8 8 9 9 8 8 7 7 7 7 7 8 8 9 9 8 7 7 7 7 8 9 10 11 11 10 9 9 8 9 10 12 14 14 14 12 10 9 9 9 9 8 7 6 6 6 7 7 7 7 7 7 7 7 7 8 7 7 7 7 8 9 9 8 7 nan
nan 13 12 10 9 7 7 7 8 9 10 11 12 12 12 13 13 13 14 14 14 14 14 13 11 9 9 8 9 9 9 10 10 9 8 7 7 7 7 8 9 10 10 10 9 10 10 11 10 10 10 9 9 9 10 11 13 15 17 18 19 19 18 15 13 12 11 11 10 8 7 7 7 7 8 10 12 14 14 15 15 14 13 13 13 13 13 12 11 10 10 10 10 9 7 7 9 10 9 8 9 9 8 7 7 8 9 9 9 8 7 7 7 8 9 10 10 10 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 8 10 10 10 10 9 8 8 9 10 11 13 14 14 12 10 9 8 8 8 8 8 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 8 nan
nan 15 15 14 13 12 10 10 10 11 12 13 13 14 15 16 16 17 17 17 17 17 16 15 13 11 9 9 8 8 9 9 9 8 7 6 7 7 8 8 9 10 10 9 9 9 9 9 9 9 8 8 8 8 9 12 13 15 16 17 18 18 18 16 14 12 12 13 12 11 10 9 8 7 8 9 11 13 14 14 15 15 15 14 14 14 14 13 12 11 11 11 10 9 7 7 8 10 10 11 10 9 8 7 7 8 9 9 9 8 8 7 7 8 10 10 10 10 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 8 9 10 10 10 9 9 9 9 9 10 11 12 12 11 10 9 8 8 8 8 8 8 7 7 6 7 7 7 7 7 7 6 6 6 7 7 7 7 8 9 9 9 8 nan
nan 15 16 16 15 13 12 11 11 11 11 11 12 12 13 15 16 18 19 20 21 20 19 17 15 13 11 10 9 9 9 9 9 8 7 6 7 8 8 9 10 11 11 9 8 8 8 9 8 8 8 8 8 7 8 10 12 13 14 14 15 16 16 15 13 12 12 12 13 12 11 10 9 8 8 9 11 12 13 13 14 14 15 14 13 13 13 12 12 12 11 11 10 9 8 8 8 10 11 11 10 9 8 7 8 9 9 9 9 9 9 8 7 8 9 9 10 10 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 10 10 10 10 9 9 9 9 10 11 11 11 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 8 8 9 8 8 nan
nan 13 13 13 13 12 11 10 9 8 8 8 9 9 10 11 13 15 17 19 22 22 21 19 17 14 12 10 9 9 8 8 8 8 7 7 7 8 9 9 10 10 11 10 9 9 9 8 8 8 9 9 9 8 8 8 10 10 11 11 12 12 13 13 13 12 11 11 11 11 11 10 9 9 9 9 11 12 12 12 12 12 12 11 12 12 11 11 11 12 12 11 10 9 9 8 9 10 11 10 9 9 8 8 8 8 8 9 10 10 10 8 7 7 7 8 9 9 9 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 10 10 11 11 11 10 10 9 8 9 9 10 11 12 12 10 8 7 6 5 6 7 7 8 8 8 7 7 6 6 6 6 7 8 8 7 7 7 8 8 7 nan
nan 10 10 10 9 9 8 7 7 6 6 6 6 6 6 7 8 10 12 15 18 19 19 18 15 13 11 9 8 7 6 6 6 6 6 6 7 7 8 9 9 10 10 11 11 10 9 8 8 9 10 10 9 8 7 6 6 7 7 8 8 8 9 10 11 11 10 9 9 10 9 9 8 8 9 9 10 11 11 11 10 10 9 10 11 11 10 10 11 12 12 11 9 9 9 9 10 11 11 10 9 8 8 7 7 7 8 9 10 11 11 9 7 6 6 7 8 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 10 10 11 11 11 10 9 9 9 9 9 10 10 10 9 6 4 3 4 6 8 9 9 9 9 8 7 7 6 6 7 8 8 8 7 7 7 7 7 7 nan
nan 10 9 9 8 8 7 6 6 5 5 5 5 4 4 4 5 5 7 9 12 14 15 14 12 10 8 6 5 5 5 4 4 4 5 5 6 6 7 8 8 8 9 10 11 10 9 9 10 11 11 9 8 7 5 4 4 4 5 5 5 5 5 6 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 9 8 9 10 11 10 9 9 10 11 11 10 9 9 9 10 11 11 10 9 8 8 8 7 7 8 9 10 11 11 10 9 7 6 6 7 8 9 11 11 10 9 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 9 10 10 11 11 10 10 10 10 9 9 8 8 7 6 4 3 4 6 8 10 10 11 10 10 9 8 7 6 6 7 7 7 7 7 7 7 7 7 7 nan
nan 9 9 8 8 7 7 6 6 6 5 5 5 5 5 4 4 4 5 6 8 10 10 10 8 7 6 5 5 5 5 5 5 4 4 5 5 6 7 7 8 7 8 9 9 9 9 11 13 13 12 9 7 5 4 3 3 3 3 3 3 3 3 4 5 6 6 7 7 7 7 7 7 7 7 8 8 9 9 10 9 9 9 10 11 10 9 9 10 11 10 10 9 9 9 10 10 10 9 8 8 8 8 8 8 9 9 10 10 10 9 9 7 6 6 7 8 9 10 10 10 10 9 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 7 7 8 8 9 10 10 10 10 10 10 10 9 8 7 6 4 4 5 7 9 10 11 11 11 11 11 10 8 7 6 6 6 6 7 7 7 7 7 7 8 8 nan
nan 8 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 5 6 7 8 8 8 7 6 6 6 7 7 6 6 5 5 5 5 6 7 7 8 8 8 9 8 8 9 11 14 15 13 10 8 6 6 5 4 3 2 2 2 3 3 4 4 5 6 6 7 7 7 7 7 7 7 7 7 8 9 9 10 10 11 11 11 10 9 9 10 10 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 6 7 8 9 10 11 11 10 9 8 8 8 8 8 7 7 7 8 8 7 7 7 7 8 8 8 8 8 8 7 7 6 7 7 8 9 9 9 9 9 10 9 9 8 6 5 4 5 7 10 11 11 10 10 10 11 11 10 9 7 6 6 6 6 7 7 8 8 7 8 8 8 nan
nan 6 6 5 5 5 5 6 7 7 7 7 6 6 6 5 5 5 5 5 5 6 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 9 9 9 8 8 10 14 16 15 13 10 9 8 7 5 3 2 2 2 2 3 4 4 5 6 6 7 8 8 8 8 8 8 7 7 8 9 10 10 11 11 10 9 9 9 10 10 10 10 10 10 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 9 8 6 6 6 7 8 9 10 10 11 11 10 9 8 8 7 7 7 7 7 7 8 9 8 7 7 7 7 8 9 9 8 8 7 6 6 7 7 8 8 8 8 9 9 9 9 8 7 7 6 6 7 9 11 11 10 9 9 10 11 12 11 9 7 6 6 6 6 7 8 8 8 7 8 8 8 nan
nan 7 7 6 6 6 6 7 7 8 7 7 7 6 6 6 5 5 5 5 6 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 9 10 10 9 8 10 13 16 17 16 13 11 10 9 7 4 2 1 1 2 3 4 5 5 6 7 8 9 9 10 11 11 10 8 8 9 10 11 11 11 9 8 8 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 9 9 9 9 10 10 10 9 7 6 6 7 8 9 9 10 10 11 11 10 9 9 8 7 7 7 7 7 8 8 9 9 8 8 7 7 8 8 8 8 7 6 6 6 7 7 8 9 9 8 9 9 8 8 7 7 7 7 8 9 10 10 9 8 8 9 10 12 12 11 9 8 6 5 5 5 6 7 7 7 7 7 7 7 nan
nan 9 9 9 9 8 8 8 8 8 8 8 7 7 6 6 5 5 5 5 7 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 13 17 18 18 15 13 12 12 10 7 5 3 2 3 4 4 4 5 6 7 8 9 10 11 12 12 11 10 10 10 11 11 12 11 9 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 8 8 8 8 9 9 9 10 10 10 10 9 8 7 6 7 8 9 9 10 10 10 10 9 8 8 8 7 7 7 7 7 7 8 8 8 9 8 8 8 8 8 8 8 7 6 6 6 6 7 9 9 9 9 9 8 8 7 7 7 7 8 8 9 8 7 7 7 7 8 9 11 11 10 9 8 7 5 5 5 5 6 7 7 7 7 7 7 nan
nan 10 11 11 11 11 11 10 10 10 9 9 8 7 6 6 5 5 5 6 7 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 9 8 8 9 9 9 10 13 16 18 17 15 14 13 14 13 11 9 6 4 4 5 5 4 5 6 7 9 10 10 11 11 11 10 10 11 11 11 12 12 11 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 9 8 7 7 7 8 9 10 10 9 8 7 7 8 8 7 7 7 7 7 7 7 7 8 8 9 8 7 7 8 9 8 8 7 7 7 7 7 8 8 9 9 8 8 8 7 7 7 8 9 9 8 6 4 5 6 6 7 8 9 10 10 9 8 7 6 6 6 6 7 7 7 7 7 7 7 nan
nan 10 11 11 12 13 13 13 12 12 11 10 9 8 7 6 5 6 6 7 8 8 8 8 8 8 8 8 8 7 7 7 7 6 7 7 7 6 6 7 8 8 8 8 8 9 10 11 12 14 16 16 15 14 14 15 15 15 14 11 8 6 6 5 5 5 7 8 9 10 10 9 9 9 9 10 11 11 11 11 12 11 10 10 9 8 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 7 7 8 9 10 10 9 7 6 6 7 8 8 7 7 7 7 7 7 7 8 8 9 9 8 7 8 9 9 9 8 8 8 8 7 7 6 6 7 7 7 7 7 8 8 9 11 11 9 6 4 4 5 6 6 7 8 9 9 9 8 7 7 7 8 8 8 8 8 7 7 7 7 nan
nan 10 9 10 12 14 15 15 15 14 13 11 10 9 8 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 7 6 5 5 5 6 6 6 6 6 7 7 8 8 8 9 10 10 11 12 14 14 14 14 14 14 16 19 18 16 13 10 8 7 7 8 9 10 10 10 9 8 8 8 9 9 9 9 9 9 10 11 11 12 11 10 8 8 8 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 8 7 7 8 9 10 10 9 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 9 9 9 9 9 8 8 6 5 4 5 6 7 7 7 8 9 11 12 13 12 9 7 6 6 6 6 6 7 7 7 8 7 7 8 8 9 8 8 8 8 8 8 8 8 nan
nan 10 9 9 10 12 14 15 15 14 13 12 11 10 9 9 9 10 10 11 11 11 11 11 10 10 10 9 9 8 7 6 6 5 5 5 5 6 6 6 6 7 7 8 8 8 9 10 10 11 11 12 13 13 13 14 17 20 21 20 18 15 13 11 11 11 11 11 10 9 9 9 9 9 9 9 9 8 7 7 7 9 11 13 13 11 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 9 10 10 9 8 7 7 7 7 8 8 7 7 8 8 8 7 7 7 8 9 9 8 8 8 9 9 9 9 9 9 8 7 6 5 5 6 7 7 7 7 9 10 12 13 13 13 11 9 8 7 6 6 6 6 6 6 6 6 8 8 8 8 7 8 8 8 8 8 9 nan
nan 11 10 9 9 10 11 13 13 13 12 11 11 10 10 10 10 11 11 12 12 13 13 13 12 11 11 10 9 9 8 7 7 7 6 6 5 6 6 6 7 7 7 7 7 8 8 9 9 9 9 10 10 11 12 14 18 20 21 20 19 18 17 16 15 13 12 11 10 9 9 9 9 10 10 10 9 8 7 6 7 7 9 10 10 9 8 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 8 7 7 9 10 11 10 9 8 8 8 8 8 8 7 7 7 7 8 8 7 7 6 7 8 9 9 9 8 8 9 9 9 9 9 9 8 7 7 7 7 7 7 6 7 8 9 10 12 13 14 13 12 11 9 7 6 5 4 4 4 5 5 6 7 7 7 7 8 8 8 8 8 8 nan
nan 12 11 10 9 9 10 11 11 11 10 10 10 10 9 10 10 10 11 11 12 13 13 13 13 12 11 10 10 9 8 8 8 8 8 7 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 9 10 12 16 18 19 18 17 18 19 19 18 16 14 12 11 9 9 9 9 10 10 10 9 9 8 8 8 7 7 7 6 6 6 6 6 6 6 6 7 7 7 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 8 7 7 8 10 11 11 11 10 9 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 7 8 9 9 9 8 8 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 8 9 11 13 14 14 13 12 11 9 6 5 4 4 4 4 4 4 4 5 6 7 8 7 7 8 8 8 nan
nan 12 11 10 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 11 11 12 12 11 11 10 10 9 9 8 8 9 9 8 7 6 6 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 9 11 13 14 15 14 15 17 18 19 18 17 14 12 9 8 8 8 9 9 10 10 9 9 8 8 8 8 6 6 6 6 7 7 7 6 6 6 7 7 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 8 8 7 7 9 11 11 11 11 10 10 9 9 9 9 9 8 8 8 7 7 8 8 7 7 7 7 8 9 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 8 10 11 12 12 12 12 12 11 9 8 7 6 5 4 3 3 3 5 7 8 8 8 8 8 8 7 nan
nan 11 10 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 8 8 9 9 9 9 8 7 7 6 7 7 7 7 8 8 9 9 9 8 7 7 7 7 7 7 7 7 8 9 10 11 11 12 13 15 16 17 16 15 12 11 9 9 8 9 9 10 10 10 9 8 8 8 8 8 7 7 7 7 8 7 7 6 6 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 9 8 8 7 7 9 11 11 11 11 11 11 10 10 10 10 9 9 9 8 8 8 8 8 8 8 7 7 8 9 9 9 9 9 8 8 9 9 9 8 8 8 8 8 8 8 7 7 7 7 8 9 9 10 10 10 10 11 12 12 12 11 10 9 7 6 6 6 6 7 8 8 8 8 9 8 7 nan
nan 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 8 9 9 10 9 9 8 7 7 7 7 7 7 8 8 9 9 9 9 9 8 7 6 7 7 7 7 7 7 7 7 8 9 9 10 11 13 14 14 13 12 12 12 11 10 10 11 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 10 10 10 9 9 8 7 7 8 9 10 10 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 7 7 8 8 8 9 9 8 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 8 7 7 8 8 9 10 12 13 13 13 12 12 11 11 11 11 9 8 8 8 8 8 8 7 7 nan
nan 9 8 8 8 9 9 9 8 8 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 9 8 7 7 7 7 8 8 9 9 10 10 10 9 9 9 8 8 7 7 8 8 8 7 7 7 7 8 8 10 11 12 12 12 11 11 11 11 11 11 12 11 11 10 10 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 9 8 8 8 7 8 8 9 9 9 10 11 10 10 10 9 9 9 9 9 9 9 9 10 10 11 10 10 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 7 7 6 6 6 7 8 10 11 11 11 11 11 12 12 12 12 10 8 8 7 7 8 7 7 7 nan
nan 8 7 7 7 8 8 8 8 9 9 9 9 8 8 8 7 7 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 8 7 7 7 7 8 8 9 10 10 10 10 10 10 10 9 9 8 8 8 7 7 7 7 7 7 7 8 9 9 10 10 9 9 9 9 9 10 10 9 8 8 8 9 9 10 10 9 9 9 8 8 8 7 7 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 9 9 10 11 12 11 10 9 9 9 9 9 9 9 9 9 8 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 8 7 7 6 6 6 7 8 8 9 9 9 9 10 10 10 9 8 7 7 7 7 7 7 7 8 nan
nan 7 7 7 8 8 7 7 8 9 9 9 9 9 8 8 8 7 7 7 8 8 8 9 9 10 10 9 9 9 10 10 10 10 10 9 8 7 7 7 7 7 8 9 10 10 11 11 11 11 11 11 11 10 10 9 8 7 7 6 6 6 5 5 6 7 8 8 8 7 7 7 7 8 7 7 5 5 6 7 9 10 10 10 9 9 8 8 7 7 7 7 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 9 8 8 8 7 7 7 8 8 8 8 9 9 9 11 11 10 10 9 9 10 10 10 10 10 9 8 7 7 7 8 8 8 8 9 9 9 10 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 9 9 9 8 8 7 6 6 7 7 8 8 8 8 8 nan
nan 7 8 8 9 9 8 8 9 9 9 10 10 9 9 9 8 8 8 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 9 8 7 7 6 7 8 9 10 11 11 12 12 12 12 13 13 12 11 11 10 9 8 7 6 5 4 5 6 6 7 6 6 6 6 6 7 7 6 5 4 4 4 6 8 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 9 8 7 7 7 7 8 8 8 7 7 7 7 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 10 10 9 9 9 10 10 10 10 10 9 8 7 7 7 7 7 8 8 9 9 10 10 10 9 9 9 9 9 10 9 9 9 8 8 8 8 8 9 9 9 8 7 6 6 6 7 7 7 8 9 9 8 nan
nan 9 9 10 10 10 10 10 10 10 9 10 10 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 10 9 8 7 7 7 7 8 9 10 11 11 12 12 12 13 13 13 13 12 12 11 10 10 9 7 6 6 7 8 8 7 6 5 4 5 6 7 7 5 4 4 4 5 6 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 9 8 7 7 6 7 7 7 8 7 7 6 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 9 9 9 10 10 10 9 9 9 9 9 9 8 7 7 6 6 7 7 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 nan
nan 11 11 11 11 11 11 11 10 10 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 8 7 7 7 8 9 10 10 11 11 12 12 13 13 13 13 12 12 11 11 11 10 9 9 9 10 10 9 7 6 4 4 5 7 8 7 5 4 5 6 6 6 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 8 9 10 9 8 7 6 7 7 8 8 8 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 8 9 9 9 8 8 7 6 6 6 7 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 11 10 9 nan
nan 12 12 11 10 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 9 8 8 8 9 9 9 9 8 7 7 8 9 9 10 10 10 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 9 8 6 5 5 7 9 10 8 5 4 6 6 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 8 10 11 10 8 7 7 7 8 9 9 9 9 8 8 8 9 10 10 9 9 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 9 10 10 10 11 11 11 10 9 9 9 9 9 9 8 8 7 6 6 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 10 11 11 12 12 12 12 12 12 11 10 8 nan
nan 12 11 10 8 8 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 8 8 8 8 8 9 9 9 8 8 8 8 9 8 8 8 7 8 8 9 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 11 11 11 11 10 9 8 7 8 8 7 7 9 11 11 8 6 6 7 7 7 7 7 8 7 6 6 7 8 8 8 8 8 8 8 8 8 9 11 11 10 8 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 9 9 10 9 9 9 10 11 11 11 11 10 9 10 10 10 9 9 9 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 10 11 12 12 12 12 13 13 13 13 11 9 8 nan
nan 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 11 12 12 12 12 11 11 10 8 6 5 6 8 9 8 8 9 10 11 9 8 8 8 8 7 7 8 8 7 6 6 7 8 8 8 8 9 9 9 9 10 11 11 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 9 10 11 10 9 9 9 10 11 11 10 9 9 9 9 10 10 10 9 9 9 8 7 6 6 7 7 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 12 12 12 12 12 13 13 13 12 10 9 8 nan
nan 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 9 9 9 9 9 10 11 12 12 13 12 12 10 7 6 5 6 8 9 8 8 8 9 9 9 9 10 10 9 8 7 8 8 7 7 7 7 8 8 9 9 9 10 10 11 12 12 11 10 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 7 7 6 6 8 10 11 10 9 8 8 10 10 10 9 9 8 8 8 9 10 10 10 10 9 9 8 7 6 7 7 7 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 12 11 11 11 12 12 12 11 10 9 9 nan
nan 9 8 7 7 7 6 7 7 7 8 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 8 9 9 9 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 13 13 13 12 9 7 6 7 8 8 8 7 7 8 8 8 9 10 11 11 9 8 7 7 7 7 8 7 7 8 9 10 10 10 11 13 13 13 11 9 8 8 8 8 8 8 9 9 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 7 9 10 10 9 8 8 9 9 9 9 8 8 8 8 8 9 10 10 10 10 9 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 10 11 11 11 11 10 9 9 nan
nan 8 7 7 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 9 9 9 10 11 11 11 11 10 10 9 9 8 8 9 9 9 9 9 10 9 9 9 9 9 9 10 10 11 12 12 13 13 12 10 9 8 8 8 7 7 7 7 8 8 9 10 11 11 10 8 7 7 8 9 9 8 8 9 10 10 10 11 12 14 14 12 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 9 9 7 6 5 7 9 10 10 9 8 8 8 8 8 8 8 7 7 7 8 8 9 10 10 10 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 10 11 11 10 10 9 nan
nan 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 8 9 9 9 9 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 9 10 10 11 11 12 13 13 12 11 10 9 9 8 7 7 8 9 9 9 10 10 10 10 9 8 7 8 9 10 10 10 11 11 10 10 11 13 14 14 12 10 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 7 8 9 9 8 7 6 7 8 9 9 9 8 8 9 8 8 8 8 8 7 7 7 8 8 9 10 9 9 8 7 7 7 6 6 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 11 11 10 10 9 nan
nan 6 6 6 6 5 5 5 5 5 6 7 7 7 7 8 8 8 8 8 8 8 8 8 9 10 11 11 11 10 9 10 11 11 12 12 11 11 10 10 10 10 9 9 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 12 12 13 13 13 12 11 10 9 10 10 11 12 11 10 10 9 9 9 9 8 9 9 10 11 11 11 10 9 9 11 13 13 13 12 10 9 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 7 7 7 8 8 8 7 7 8 9 9 9 8 8 9 9 9 8 8 8 8 8 7 7 7 7 8 9 9 9 8 7 7 6 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 nan
nan 6 5 5 5 5 5 5 5 5 6 7 7 8 8 8 8 9 9 10 10 10 10 10 10 11 12 13 12 11 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 12 13 13 13 13 12 12 12 13 14 14 12 11 10 9 9 9 9 9 10 10 11 11 11 10 10 9 10 12 12 12 11 11 10 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 9 9 8 9 9 9 9 9 8 8 8 9 9 9 8 7 7 7 8 9 9 9 8 7 7 7 7 8 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 nan
nan 5 4 4 4 4 5 5 5 6 6 6 7 7 8 8 9 9 9 9 10 11 11 10 10 11 11 11 11 11 10 10 10 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 10 10 10 10 10 10 11 12 13 13 13 13 14 15 16 15 14 13 11 10 9 8 8 9 10 11 11 11 10 10 10 11 11 12 11 11 10 10 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 8 8 8 8 7 7 6 6 8 9 10 9 9 9 9 9 9 8 8 7 7 8 8 8 8 7 6 6 7 8 9 9 8 7 7 6 7 8 9 10 10 10 10 10 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 nan
nan 4 3 3 3 4 5 5 5 6 6 6 7 7 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 9 9 9 10 11 11 12 12 13 14 15 16 16 16 15 14 12 10 8 8 9 10 12 12 11 11 11 11 11 11 11 10 10 9 9 9 8 8 7 7 7 7 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 7 6 7 9 10 10 10 10 10 10 9 8 8 7 6 6 7 7 7 7 7 7 6 6 7 8 8 8 7 6 6 6 8 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 9 9 nan
nan 3 3 3 3 4 4 5 5 5 6 6 7 8 8 9 9 9 9 10 10 10 10 10 9 9 8 9 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 9 10 10 11 11 12 13 14 15 16 16 16 15 14 12 10 9 10 11 12 12 12 11 10 10 10 10 10 9 9 9 9 8 8 8 8 7 7 7 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 7 7 9 10 10 10 11 11 10 9 8 7 6 5 5 6 6 6 7 7 7 7 7 8 8 8 7 7 7 7 6 7 8 10 11 11 10 10 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
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nan 10 10 10 10 10 11 11 11 10 10 9 10 10 10 10 11 11 12 12 11 11 10 9 8 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 10 9 9 9 9 8 8 7 7 7 9 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 11 11 11 11 10 10 9 11 15 19 21 19 17 14 13 13 12 12 11 7 1 -3 -1 3 6 8 9 11 12 13 14 13 12 11 10 10 10 10 11 11 12 12 12 12 10 7 5 4 5 6 8 9 10 12 15 18 19 18 16 15 13 10 6 2 3 5 6 7 8 8 8 9 9 10 11 11 12 12 12 nan
nan 11 11 11 11 11 10 10 9 9 8 8 8 9 10 10 11 12 12 11 11 10 9 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 8 9 9 9 9 9 9 9 9 9 8 8 7 7 8 9 10 11 11 11 12 12 11 11 11 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 11 14 18 21 20 18 15 14 13 12 12 11 6 -1 -3 -2 2 5 8 9 11 12 13 13 12 11 11 11 11 10 10 10 11 12 13 14 15 12 7 3 0 -0 2 5 7 8 11 15 17 18 17 15 15 13 10 6 3 3 5 6 7 7 8 8 8 8 9 9 10 11 11 12 nan
nan 11 11 11 11 10 10 9 8 8 8 8 8 9 10 10 11 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 9 9 9 9 8 8 7 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 8 8 8 9 9 9 9 10 10 9 9 9 8 8 9 9 9 10 10 11 11 11 11 11 11 11 12 12 12 13 13 13 14 13 13 13 12 12 12 12 12 12 12 12 11 11 11 10 10 11 13 16 20 21 19 16 14 13 12 12 11 6 -1 -3 -4 -1 4 7 9 11 12 12 11 11 10 10 11 11 11 10 9 10 11 14 17 19 16 11 6 -0 -3 -2 1 4 6 10 13 16 17 16 15 14 13 9 4 2 3 5 6 7 7 8 8 8 9 9 9 10 11 11 11 nan
nan 11 11 11 11 10 9 8 8 8 8 8 9 10 10 10 10 10 10 10 9 9 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 7 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 10 10 10 12 15 19 21 20 18 15 13 12 12 11 7 1 -3 -6 -3 3 7 9 10 11 11 10 9 8 9 10 12 12 11 10 10 11 13 17 20 20 17 13 6 -1 -3 -2 -0 2 6 10 13 14 15 14 14 12 8 4 2 2 4 6 7 8 8 8 8 9 9 9 10 11 12 12 nan
nan 10 10 10 10 10 9 9 9 8 9 9 10 10 10 9 9 9 8 8 8 8 9 9 10 10 10 10 9 9 8 8 8 8 9 9 9 10 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 12 13 14 14 14 14 13 13 12 12 12 13 13 13 12 11 12 12 12 12 12 12 12 11 11 10 10 11 14 18 21 21 19 16 14 13 12 11 8 3 -3 -7 -5 2 7 9 10 11 11 10 9 7 7 8 11 12 11 10 10 11 13 15 18 20 21 20 14 7 2 -0 -1 1 4 7 9 12 13 13 13 12 8 4 1 1 3 6 7 8 8 8 8 9 9 9 9 10 11 12 nan
nan 8 8 8 9 9 9 9 9 9 9 9 9 10 9 9 9 8 8 8 8 9 9 10 10 10 10 10 9 9 8 8 8 8 9 9 9 10 9 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 13 13 14 14 13 13 12 12 12 13 13 13 12 12 12 12 12 12 13 13 12 12 12 11 11 11 13 17 20 21 20 17 15 13 12 11 9 4 -3 -8 -6 -1 5 9 10 10 11 11 10 8 7 7 9 10 11 11 11 12 12 13 14 16 20 23 21 17 12 7 4 3 4 6 8 10 12 12 13 11 8 4 0 -1 1 4 6 8 9 8 9 9 9 9 8 8 9 10 nan
nan 6 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 11 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 12 12 12 12 11 11 11 11 11 10 11 11 11 11 11 11 11 12 12 12 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 11 13 16 19 22 21 18 16 14 12 12 10 6 -1 -7 -8 -4 2 7 9 10 11 11 11 9 8 7 8 9 9 10 11 11 12 11 11 13 16 21 23 23 21 16 11 8 6 6 7 8 10 11 12 11 9 5 1 -2 -2 0 4 8 9 8 9 10 10 10 8 8 9 10 nan
nan 6 6 7 8 9 9 10 10 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 11 11 12 12 12 12 11 11 11 10 10 10 10 11 11 11 12 12 13 13 13 12 11 11 10 10 10 10 10 11 11 10 10 9 9 10 11 12 11 10 10 11 11 12 12 12 13 13 13 13 13 13 13 13 13 12 12 13 15 18 21 22 19 16 14 13 12 11 8 2 -5 -9 -7 -2 4 8 9 10 10 11 10 9 9 8 8 8 9 10 10 10 10 10 10 12 15 19 22 24 22 16 12 9 8 8 8 9 10 11 11 10 8 4 -1 -4 -2 2 6 8 8 8 9 10 9 8 7 7 8 nan
nan 7 7 8 8 9 10 10 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 10 9 9 9 10 10 11 11 11 12 12 12 12 12 11 11 10 11 11 12 12 13 13 12 11 11 11 11 11 11 11 11 11 12 12 13 13 12 12 11 11 10 10 10 10 10 11 10 10 9 9 9 10 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 15 18 21 22 20 18 15 13 12 12 10 6 -1 -7 -8 -4 2 7 9 9 9 9 10 9 9 9 9 8 9 9 9 9 9 9 9 10 11 14 19 23 23 19 15 12 10 9 8 8 9 9 10 10 9 6 1 -3 -3 -1 4 7 8 8 8 9 8 7 6 4 5 nan
nan 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 10 10 10 10 10 9 10 10 11 11 11 10 9 9 8 8 9 10 10 11 11 12 12 13 13 12 12 11 10 10 10 11 12 12 13 13 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 10 11 11 11 11 11 10 9 9 10 11 11 11 11 12 12 12 12 13 13 13 13 14 14 14 13 14 13 13 12 12 11 11 12 15 19 22 21 19 16 14 13 12 11 9 2 -5 -7 -4 2 7 9 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 10 11 13 16 20 21 20 17 14 12 11 10 9 9 9 9 10 10 8 4 -2 -4 -2 3 8 9 8 8 9 9 8 4 2 4 nan
nan 9 9 9 8 8 8 8 9 9 9 9 10 10 9 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 11 10 9 8 8 8 9 9 10 10 11 11 12 12 12 12 11 10 9 9 9 9 10 10 11 12 12 12 11 11 11 11 11 10 10 11 11 11 11 11 12 12 12 12 11 11 11 11 10 10 9 9 9 9 10 10 11 11 11 12 12 12 12 12 12 12 12 13 13 14 14 14 15 14 14 13 12 10 8 8 9 14 18 21 21 19 16 14 12 12 10 4 -3 -6 -6 1 7 8 8 9 9 8 8 7 8 8 8 8 9 9 9 9 9 9 10 11 13 16 19 20 19 17 16 14 13 11 10 10 9 9 10 10 9 6 1 -3 -2 4 9 11 9 8 9 10 8 5 3 4 nan
nan 9 9 9 9 9 9 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 8 8 8 9 9 10 10 11 11 11 11 11 10 10 9 8 8 8 8 9 9 9 10 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 11 11 10 9 8 7 7 8 9 10 10 11 11 12 12 12 12 12 12 12 12 12 13 14 15 15 16 16 15 15 14 14 14 13 11 10 10 13 18 21 22 19 16 13 12 11 6 -1 -6 -8 -3 3 6 9 9 9 8 8 8 7 7 7 7 8 9 9 10 10 10 11 11 13 16 19 19 18 17 16 16 14 13 12 11 10 10 10 10 10 7 3 -1 -1 5 10 12 11 9 9 9 8 5 3 3 nan
nan 9 9 9 10 9 9 9 9 9 9 9 9 9 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 9 9 8 8 8 9 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 12 12 11 11 11 12 12 11 10 9 8 9 10 11 11 12 12 12 12 13 13 13 12 12 12 12 12 13 14 14 15 15 15 16 15 15 16 18 19 18 15 12 10 14 19 23 22 18 14 12 11 8 3 -4 -8 -7 -2 2 6 8 7 7 8 9 8 7 7 7 8 8 9 10 11 12 12 12 14 17 19 19 17 17 17 16 16 14 13 12 11 11 10 10 9 7 5 3 4 7 9 11 10 10 9 9 7 4 2 2 nan
nan 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 9 8 8 8 9 9 10 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 9 8 8 8 9 9 10 10 11 11 12 12 12 12 12 13 13 13 12 12 12 12 13 13 13 13 13 13 13 14 14 14 13 13 13 13 13 12 13 13 13 14 14 15 16 16 15 17 19 21 21 17 11 11 15 21 23 21 16 13 12 10 7 2 -4 -6 -5 -2 2 3 3 5 7 9 9 8 8 8 8 8 9 10 11 12 12 13 15 19 21 20 18 16 16 17 16 15 14 13 12 11 10 9 7 6 6 9 11 11 10 9 9 10 10 9 7 4 1 0 nan
nan 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 9 9 9 9 10 10 10 11 12 12 12 12 12 13 13 14 14 13 12 13 14 14 15 14 13 13 14 14 15 15 15 14 14 14 14 14 13 13 13 12 13 13 14 16 16 15 15 17 20 24 22 15 11 11 15 19 19 17 14 12 11 10 7 3 -1 -3 -3 -1 -1 -1 2 5 7 8 9 9 10 9 9 9 10 11 11 11 11 14 19 21 20 18 16 16 17 17 16 15 14 13 12 10 8 4 2 5 11 15 15 12 9 8 9 9 9 6 2 -1 -1 nan
nan 9 10 11 11 11 10 10 9 9 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 12 12 12 13 13 12 11 11 12 13 14 13 12 12 12 13 14 14 14 14 14 15 15 15 15 15 14 13 12 12 12 13 14 15 15 15 16 20 25 25 21 15 11 11 14 16 16 14 12 10 10 9 7 4 2 0 -1 -2 -3 -1 1 3 5 7 9 10 10 10 10 11 12 12 11 9 11 15 17 18 17 16 16 16 16 16 15 14 14 13 11 8 3 -0 2 8 12 14 12 9 9 9 9 8 5 1 -1 -0 nan
nan 10 11 11 11 11 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 11 11 11 12 12 12 11 11 10 10 10 10 11 11 11 11 12 13 13 14 13 12 12 13 13 13 12 11 11 11 12 12 12 12 12 12 13 13 14 14 13 12 12 11 11 12 12 13 14 14 14 14 17 21 24 24 22 17 14 13 13 13 13 12 10 9 9 8 7 6 5 3 0 -1 -2 -3 -1 3 6 8 9 10 11 11 13 14 14 13 10 10 12 14 15 16 16 16 16 16 16 15 14 14 15 15 12 7 3 4 6 9 11 11 10 9 9 8 6 3 2 2 4 nan
nan 11 12 12 11 11 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 11 11 10 10 10 10 10 11 11 12 14 15 15 15 14 15 15 15 14 13 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 14 13 14 16 20 23 26 25 21 18 16 15 13 12 11 10 9 9 9 9 8 7 5 3 -1 -4 -3 1 5 8 9 9 10 11 12 14 15 14 12 11 11 12 14 15 16 16 16 16 15 14 13 14 17 20 19 16 12 9 8 8 9 10 10 9 8 6 5 4 4 6 8 nan
nan 12 12 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 13 13 12 12 12 11 11 11 11 11 12 14 15 16 15 15 14 15 15 15 14 13 12 11 10 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 16 21 26 29 28 27 25 22 19 17 16 14 12 11 11 10 10 9 8 6 1 -4 -4 -2 3 8 10 10 10 10 11 12 13 13 12 11 11 12 14 15 15 15 16 16 14 13 12 13 18 22 24 24 21 18 13 9 9 9 9 7 6 5 5 6 7 9 10 nan
nan 12 12 11 11 10 10 9 9 9 9 10 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 10 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 12 12 12 13 14 14 14 14 14 14 13 12 12 13 15 15 14 13 12 12 12 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 12 12 14 17 22 26 28 29 29 28 26 25 23 20 17 15 14 14 12 10 10 9 5 -0 -3 -4 2 9 12 13 12 10 10 10 11 12 12 13 13 14 14 14 14 15 15 15 14 13 11 12 15 19 22 25 24 22 17 12 10 9 7 4 2 4 6 8 10 10 10 nan
nan 11 11 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 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 10 10 10 10 10 10 10 10 10 11 12 12 12 11 11 11 11 13 14 14 15 15 15 14 13 13 13 14 14 14 12 11 10 10 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 12 12 13 14 16 19 21 24 25 24 25 26 27 26 23 22 22 22 20 17 14 12 10 8 6 3 6 12 15 17 16 13 11 10 10 11 14 16 17 16 13 11 12 13 13 13 12 12 11 10 12 14 18 22 24 22 19 15 12 10 7 4 3 5 8 10 10 10 10 nan
nan 10 10 10 9 9 9 9 9 9 10 10 10 9 9 9 8 8 9 9 9 9 9 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 10 10 10 10 10 10 10 10 10 9 10 11 12 13 13 11 11 10 10 11 11 12 12 13 13 13 12 12 12 12 13 13 12 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 12 12 13 13 13 13 13 12 12 12 12 12 13 14 16 18 18 20 22 26 27 27 26 27 29 30 28 24 21 18 17 15 14 14 16 18 19 19 16 14 12 11 12 15 18 20 16 11 8 9 11 10 10 10 10 10 8 9 11 16 21 23 23 21 18 15 12 9 7 7 8 10 10 10 10 10 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 11 11 11 11 11 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 9 10 12 13 13 12 11 11 11 12 11 11 10 11 12 12 12 11 11 11 12 12 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 12 12 13 13 13 13 13 12 12 12 12 11 11 12 13 13 14 15 18 21 22 23 23 24 26 29 30 29 26 22 19 17 16 16 17 17 18 18 17 16 15 13 14 17 19 20 15 9 7 8 11 11 10 10 10 9 8 8 10 14 18 20 21 21 19 16 13 11 10 9 10 10 10 10 10 10 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 11 12 13 13 11 10 11 13 13 12 11 10 11 12 12 12 12 12 12 12 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 10 11 11 11 11 11 11 12 12 13 13 13 13 12 12 12 11 11 11 11 11 12 12 12 13 14 15 16 17 17 17 19 20 21 22 21 18 16 14 13 13 14 15 15 15 15 15 16 16 16 17 18 19 15 9 7 8 11 13 13 12 11 10 10 9 11 13 14 15 16 16 15 14 13 12 11 10 10 10 10 10 10 11 nan
nan 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 12 12 12 12 12 13 11 9 10 11 13 13 11 9 9 11 13 14 14 13 12 12 11 11 11 10 10 10 9 8 7 7 7 8 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 11 12 13 14 14 14 14 15 15 15 15 14 13 11 11 11 12 13 14 13 13 13 15 16 15 15 16 16 14 11 9 9 11 13 13 12 12 11 11 11 12 12 12 13 13 13 13 12 12 11 11 10 10 10 10 10 11 13 nan
nan 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 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 10 10 10 10 11 12 12 12 12 11 10 8 7 8 9 10 10 8 8 9 11 13 14 14 12 11 10 10 9 10 10 10 10 9 8 7 7 7 8 8 7 7 6 7 8 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 10 8 7 5 5 5 6 8 10 12 13 13 13 13 13 13 13 13 12 10 9 9 10 11 12 12 11 12 12 13 13 12 12 12 11 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 10 10 11 13 nan
nan 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 8 9 9 10 10 9 8 9 11 13 15 15 13 11 9 8 8 7 8 8 9 9 9 9 8 8 7 5 3 1 -0 -0 1 3 5 7 8 8 9 9 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 8 7 5 2 0 -0 0 2 4 6 8 10 11 11 11 11 11 12 13 12 9 6 5 5 7 9 10 11 11 11 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 11 11 11 11 12 11 11 10 11 12 nan
nan 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 12 12 12 12 12 11 10 10 10 11 12 13 12 12 12 13 15 16 14 12 9 8 8 7 7 6 5 5 5 6 7 8 8 7 3 -1 -4 -6 -5 -4 -3 -1 1 2 4 5 5 7 8 9 10 10 10 10 10 10 9 9 9 8 8 7 6 6 6 7 8 9 8 5 2 -1 -3 -4 -3 -2 1 3 5 6 5 5 7 9 13 14 10 6 1 -1 1 6 9 10 10 10 9 9 9 9 9 9 9 10 9 9 9 10 10 10 10 10 10 10 10 11 11 11 12 11 11 11 11 12 12 12 11 11 11 11 nan
nan 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 11 12 13 14 14 14 13 12 11 10 11 11 12 14 15 15 14 14 14 15 14 12 11 10 10 11 11 10 7 5 2 -0 0 2 4 5 4 2 -1 -3 -3 -2 -1 -2 -2 -3 -4 -4 -3 -2 1 3 6 7 8 9 9 8 7 6 5 4 3 1 -1 -1 -1 2 6 9 12 12 11 9 5 1 -2 -4 -4 -4 -2 0 1 1 0 1 5 10 14 12 7 0 -3 -1 3 8 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 10 10 11 11 11 11 11 11 11 11 nan
nan 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 12 13 14 15 15 14 13 12 12 11 10 10 11 12 14 14 14 13 13 13 13 12 11 11 12 14 15 15 14 12 10 7 4 2 2 1 0 -1 -2 -1 1 4 6 6 6 5 2 -1 -4 -5 -4 -3 -1 1 4 7 9 9 8 5 3 -0 -3 -4 -5 -5 -5 -2 1 6 10 12 13 14 13 11 8 5 2 -0 -1 -1 1 2 1 1 1 3 8 12 11 8 2 -1 1 4 8 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 9 10 10 11 11 11 11 11 11 nan
nan 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 12 12 12 12 13 14 15 15 14 13 12 11 11 10 10 10 10 10 11 11 11 11 11 11 12 11 11 11 11 12 14 14 15 15 15 16 16 15 12 9 5 1 -1 -1 2 5 8 10 11 11 11 9 7 6 4 3 2 1 1 2 5 7 8 8 7 6 3 1 -1 -1 -0 2 4 6 8 10 12 14 14 15 14 13 11 9 7 4 4 5 5 5 5 5 6 8 9 7 5 2 3 5 7 8 9 9 9 9 9 10 10 11 11 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 11 10 10 10 9 10 10 10 10 10 10 10 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
125 81 54 36 38 38 36 36 38 41 42 41 36 29 23 19 17 17 30 42 51 63 79 94 106 121 158 219 271 350 433 491 539 555 534 513 501 503 511 518 526 582 625 674 736 808 875 908 866 843 810 738 692 717 763 753 694 652 645 660 691 751 844 824 690 502 338 236 176 108 36 38 55 84 122 161 190 195 187 177 177 175 176 192 220 227 205 176 153 141 139 144 153 173 183 170 141 105 68 36 15 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 2 2 2 4 4 4 4 4 4 3 3 2 0 0 0 0
166 102 61 38 33 32 37 46 55 61 63 63 61 55 51 48 46 50 63 76 85 94 104 110 110 113 133 197 280 357 410 438 450 441 417 393 381 385 389 378 383 419 454 493 536 583 641 722 773 836 843 793 712 656 684 747 723 709 721 742 773 825 871 842 704 501 313 190 128 75 26 18 23 35 52 72 93 109 110 109 116 125 135 151 178 183 164 141 127 127 134 140 145 154 146 123 92 58 24 7 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 1 1 0 0 0 1 1 1 2 3 3 2 2 3 3 3 2 1 0 0 0 0
191 134 92 65 51 47 51 59 69 78 85 92 97 101 103 105 105 106 112 122 127 124 117 113 112 115 129 190 286 363 401 407 392 368 342 310 300 310 319 316 332 359 382 403 422 442 476 536 592 645 683 679 645 626 666 730 679 741 813 869 913 937 919 883 755 538 316 161 90 57 24 12 11 13 18 27 42 55 58 65 70 76 85 100 120 135 131 119 115 120 125 122 116 110 94 72 50 30 11 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 1 2 2 2 1 2 2 4 3 2 1 0 0 0 0
194 154 123 102 87 80 78 82 90 101 110 117 131 156 167 167 164 162 162 167 170 158 132 112 108 115 137 205 294 363 395 385 345 302 275 242 241 260 280 295 318 340 351 362 376 392 415 453 487 524 564 599 629 662 709 762 730 775 801 818 832 824 811 805 713 502 282 143 90 65 32 11 4 2 3 5 10 16 16 26 34 42 53 66 77 90 100 99 94 92 92 85 75 59 36 20 14 8 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 1 2 2 1 1 3 3 4 3 2 1 0 0 0 0
183 149 124 108 101 100 104 111 119 127 132 132 135 156 176 185 186 184 183 186 192 180 148 118 106 116 150 220 293 342 356 340 304 254 228 201 200 223 255 285 308 321 331 345 359 370 390 431 471 509 554 605 660 712 750 794 793 727 655 596 544 500 491 498 472 329 180 106 88 67 34 11 2 0 0 0 0 1 1 5 10 16 26 37 47 45 48 50 48 45 42 35 27 21 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 1 2 2 2 0 2 3 3 4 4 3 1 0 0 0 0
136 113 95 85 83 93 105 113 118 120 118 115 112 115 117 123 131 138 143 151 171 179 169 152 139 139 157 197 238 257 257 249 237 205 186 167 167 191 229 264 284 289 303 319 329 339 360 403 452 503 559 611 652 660 610 546 501 431 361 301 249 200 166 158 165 120 68 42 35 26 13 4 1 0 0 0 0 0 0 1 1 2 4 7 14 12 10 9 9 10 9 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 1 2 2 1 2 2 3 4 4 3 1 0 0 0 0
71 59 51 48 49 57 61 59 57 57 61 67 73 73 74 74 66 56 57 66 80 100 137 168 174 152 129 117 115 109 101 95 94 98 98 92 93 108 139 179 221 242 261 276 285 292 310 349 411 472 546 553 499 406 278 185 150 124 100 78 55 31 21 21 21 17 12 6 2 1 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 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 2 2 2 2 2 2 3 4 4 3 1 0 0 0 0
38 27 22 23 26 29 27 19 12 10 15 25 36 44 48 49 39 25 17 12 14 22 35 45 52 51 38 26 21 18 15 13 12 17 20 20 21 25 38 57 83 135 171 204 231 250 266 296 351 415 497 446 317 195 89 27 14 11 9 7 5 3 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 2 2 1 1 2 2 2 1 0 0 0 0
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