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 10 9 8 7 7 7 7 7 7 8 8 9 9 10 10 10 10 9 9 10 10 10 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 11 12 13 14 14 13 12 12 12 11 10 10 9 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 10 10 9 9 9 9 9 9 9 10 10 11 13 14 16 18 19 19 19 20 20 19 19 20 20 19 18 17 16 15 14 14 14 13 13 13 13 14 15 15 14 13 11 10 8 8 8 9 9 10 11 11 11 11 12 12 12 12 10 8 6 6 9 10 10 9 8 7 7 7 8 8 9 10 10 11 10 10 10 10 9 9 9 10 10 10 10 12 14 nan
nan 8 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 8 7 7 8 8 8 9 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 10 9 9 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 11 12 13 14 14 13 12 12 12 12 11 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 11 12 13 15 16 18 19 20 20 20 20 21 21 21 20 19 17 16 15 14 14 13 13 12 12 13 14 16 16 16 14 12 11 10 10 9 9 10 10 10 10 10 11 12 12 11 11 9 7 7 8 9 10 10 8 7 7 7 7 8 9 10 11 11 11 11 11 10 10 10 10 10 10 9 9 10 12 nan
nan 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 7 6 7 8 9 10 10 10 10 10 10 10 10 9 9 8 8 8 9 10 11 11 10 9 9 9 10 10 11 11 10 10 9 9 9 8 8 8 8 8 9 9 9 9 10 10 11 11 12 12 13 13 12 12 11 11 11 10 9 9 9 9 9 8 8 8 9 9 10 9 9 9 8 9 9 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 11 13 14 16 16 17 18 20 21 22 22 21 20 18 16 15 15 14 13 13 13 13 13 14 14 16 17 17 16 14 14 12 10 8 8 9 9 10 10 11 10 10 10 10 10 9 9 8 9 10 10 9 8 8 8 7 8 9 9 10 10 10 11 12 13 13 12 11 11 10 10 10 11 11 nan
nan 10 10 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 9 10 10 10 10 10 10 10 9 8 8 7 7 7 8 8 9 9 9 9 9 9 9 10 11 11 11 11 10 10 9 9 8 8 8 9 9 9 9 9 10 10 10 11 11 11 12 12 12 11 11 11 11 11 10 9 9 10 10 9 8 8 8 8 9 10 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 9 9 9 9 11 12 12 12 12 14 17 19 20 20 20 20 19 18 17 15 13 13 13 14 15 15 14 14 15 17 18 19 18 17 14 10 8 7 8 9 10 10 10 9 9 9 9 10 10 11 10 9 10 10 9 9 9 8 9 9 9 9 9 9 10 11 13 15 15 13 11 11 11 11 12 11 11 nan
nan 10 10 10 9 9 9 9 10 9 9 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 10 10 10 10 11 11 10 9 9 9 9 8 8 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 10 10 9 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 11 11 10 8 10 12 15 16 16 17 18 17 16 15 13 11 10 11 13 14 15 14 13 13 15 18 20 20 18 15 11 8 7 8 9 10 10 9 9 8 8 8 10 11 11 11 9 9 9 9 9 9 9 10 10 9 9 8 8 9 11 14 15 14 12 10 10 10 11 12 12 11 nan
nan 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 9 8 8 8 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 7 8 8 8 8 8 7 8 8 7 7 8 8 9 9 9 10 10 10 10 9 9 9 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 12 12 13 12 12 12 11 11 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 10 10 11 11 11 10 9 9 9 11 13 13 13 13 12 12 11 9 8 7 8 8 9 10 12 12 12 13 16 18 19 18 15 11 9 8 9 9 9 9 9 9 8 8 9 9 10 10 9 8 8 8 8 8 8 9 10 10 9 8 8 9 10 12 14 14 11 10 9 8 9 9 10 11 12 nan
nan 11 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 8 8 8 8 9 9 9 10 10 10 10 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 9 10 10 9 9 9 8 8 8 9 9 10 10 11 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 11 10 10 10 10 10 9 8 8 8 8 8 8 9 9 9 8 8 8 9 10 10 11 11 11 11 11 11 12 12 11 10 9 9 10 12 13 13 12 10 10 10 8 7 6 5 4 5 7 9 11 12 12 14 16 17 17 15 13 11 10 10 9 9 9 9 9 9 10 9 9 8 8 7 7 7 7 7 6 7 8 9 9 9 9 10 11 12 13 13 11 9 7 7 8 8 9 10 10 11 nan
nan 11 11 11 11 11 10 10 11 11 11 11 11 11 10 10 9 8 8 8 8 8 8 9 9 10 10 11 11 10 10 9 9 9 9 9 8 8 8 8 8 9 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 10 10 9 9 8 8 9 9 10 10 11 11 12 12 12 13 13 12 12 11 11 11 11 12 12 12 12 12 12 11 11 11 11 10 10 9 9 9 8 8 7 8 8 8 8 8 8 8 9 10 10 11 11 11 11 11 12 12 12 11 10 10 12 14 14 14 14 12 12 11 9 8 7 5 4 4 6 8 10 12 12 14 15 17 17 16 15 13 12 11 10 9 8 9 9 10 11 11 10 9 8 7 7 8 8 7 7 7 7 8 8 9 10 12 13 13 13 12 10 8 7 7 8 9 10 10 10 9 nan
nan 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 8 8 8 8 9 8 8 9 9 9 9 10 10 10 10 10 10 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 10 10 10 9 9 9 9 9 10 10 10 11 11 11 12 12 13 13 12 12 11 11 11 11 11 12 12 13 12 12 11 11 11 10 10 10 10 10 9 8 7 6 6 6 6 6 7 7 8 9 9 10 10 10 10 10 11 12 12 11 10 11 13 14 15 15 15 15 14 14 12 10 9 7 6 6 6 8 10 12 13 14 16 16 17 17 16 15 14 13 12 11 10 9 9 9 10 11 11 10 9 8 8 8 8 9 9 9 8 8 9 10 10 11 12 12 11 11 10 9 8 8 8 8 8 7 7 6 nan
nan 11 11 11 11 10 10 10 10 10 9 9 10 10 10 10 9 8 8 8 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 9 8 7 7 7 7 7 8 8 7 7 7 7 8 8 8 7 7 6 7 8 9 10 10 10 10 9 9 9 9 10 10 10 10 11 11 11 11 11 12 12 12 12 11 10 10 10 11 11 12 12 12 12 12 11 11 10 10 10 11 10 9 8 7 7 6 6 6 6 7 8 8 9 9 9 9 10 10 10 11 11 11 11 11 12 14 14 14 14 14 14 15 14 13 11 9 8 8 8 9 10 13 14 15 16 17 17 17 16 15 14 13 12 11 11 10 9 8 9 9 10 10 10 9 8 8 9 9 10 10 10 10 10 10 9 8 8 8 8 9 9 9 9 8 7 6 5 4 4 4 nan
nan 11 11 11 10 10 9 10 10 10 9 9 10 10 11 11 10 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 7 7 7 7 8 7 7 7 7 7 7 7 7 7 6 6 6 7 8 9 10 10 10 10 9 9 9 9 10 10 10 11 10 10 10 11 11 11 12 12 12 11 10 9 9 10 10 11 12 12 12 12 12 11 11 10 10 10 10 10 9 9 8 7 7 7 7 8 9 9 9 8 9 9 9 9 10 10 10 10 11 11 12 12 12 11 11 12 13 14 14 13 12 11 11 10 10 10 11 11 12 13 15 16 16 16 14 13 12 11 10 9 8 8 8 8 8 9 10 9 9 8 7 8 9 10 11 11 11 10 9 7 6 5 5 6 7 8 9 9 8 7 6 5 4 4 4 nan
nan 10 11 11 10 9 9 9 10 10 10 10 10 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 5 5 6 8 8 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 11 11 12 12 12 11 10 9 9 9 10 10 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 13 12 10 9 8 7 7 8 9 11 12 13 13 12 11 11 10 9 8 7 6 7 7 8 9 9 9 9 8 7 8 9 10 11 12 11 10 8 7 5 5 5 6 6 7 8 8 8 8 7 6 5 4 4 nan
nan 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 8 8 8 9 9 10 11 11 11 11 12 12 12 11 10 10 9 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 7 6 6 7 8 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 12 12 12 11 11 10 10 9 9 10 10 11 11 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 7 7 8 8 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 11 10 9 7 6 5 5 6 7 7 7 8 8 8 8 8 8 8 8 7 6 7 7 8 9 9 9 9 8 8 9 9 10 12 13 12 11 10 8 6 5 6 6 7 7 8 8 8 9 8 8 6 5 4 nan
nan 11 11 11 10 10 9 9 8 8 7 7 7 8 8 8 8 9 9 9 9 9 8 9 9 10 10 11 11 11 12 13 13 13 13 12 12 12 11 10 9 9 9 9 9 9 9 8 8 9 9 9 9 8 8 8 8 8 8 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 9 10 10 11 11 11 12 12 12 11 11 10 9 9 9 10 11 12 12 12 11 11 10 10 10 10 10 10 10 10 11 11 11 10 10 9 7 6 6 6 6 8 9 9 10 9 9 9 9 8 8 7 7 7 7 7 8 8 8 7 6 6 7 6 6 5 4 4 5 7 7 7 7 8 8 7 7 7 8 8 9 9 9 9 9 9 9 10 11 13 14 14 13 12 9 7 6 6 6 7 7 8 8 8 8 9 9 8 8 7 nan
nan 12 11 10 9 8 8 8 8 7 7 7 7 8 8 8 9 9 10 10 10 9 10 10 10 11 11 11 11 10 10 10 11 12 13 13 13 14 13 12 11 10 9 9 9 9 9 8 8 9 9 9 10 10 10 10 9 8 8 8 9 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 11 11 12 12 12 12 11 10 9 9 9 10 11 11 12 12 12 12 11 11 10 10 9 9 9 10 10 9 9 9 8 7 6 6 6 6 6 8 9 10 10 8 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 6 5 5 4 5 6 6 7 7 7 7 7 7 7 8 9 9 9 9 10 9 9 10 10 11 13 13 14 13 12 12 10 9 7 7 6 7 7 7 7 7 7 7 8 9 10 10 nan
nan 11 10 9 7 7 7 8 8 8 7 7 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 10 12 13 14 14 13 12 11 10 9 8 8 9 8 8 8 9 9 9 10 10 11 11 10 9 8 8 9 9 9 9 8 9 9 9 9 9 9 10 11 11 11 10 9 9 9 10 10 10 10 10 11 12 12 11 11 10 9 9 10 10 10 11 12 12 12 13 12 12 11 11 10 10 10 9 9 9 10 11 11 11 11 11 10 9 9 10 11 11 10 8 8 8 8 8 9 9 10 10 9 8 7 7 7 8 8 8 7 6 7 7 7 7 7 7 7 7 6 6 6 7 8 9 10 10 9 9 10 10 12 13 14 14 13 11 10 10 10 9 8 7 7 7 8 8 8 7 7 6 7 8 9 11 nan
nan 9 8 8 7 7 8 8 8 8 8 9 10 11 12 12 12 11 10 9 9 10 11 11 11 10 10 10 10 10 9 8 8 9 10 12 13 13 12 10 10 9 9 9 8 8 9 8 8 8 9 9 9 10 11 11 11 11 10 10 10 11 10 9 8 9 9 10 10 10 9 10 11 13 13 12 10 9 9 9 10 10 9 9 10 10 11 11 10 10 10 10 10 10 10 11 11 12 12 13 13 13 13 13 12 12 12 12 12 13 14 14 15 15 16 16 17 16 16 15 15 14 12 10 8 7 8 9 10 11 11 10 9 8 8 8 9 10 10 10 9 9 8 8 8 8 7 7 7 6 6 6 6 7 8 9 10 10 9 9 10 11 13 14 14 14 12 10 10 10 10 9 8 8 8 8 8 9 9 8 7 7 6 6 7 9 nan
nan 8 7 7 7 8 8 8 8 8 8 9 10 12 12 12 12 11 10 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 9 10 11 12 11 9 8 8 8 8 9 9 9 9 8 9 9 9 9 9 10 10 11 11 11 12 12 12 11 10 9 9 10 10 10 9 9 10 13 16 17 15 13 11 9 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 13 13 13 13 13 14 15 16 17 17 16 15 14 15 16 18 18 19 18 18 17 15 13 11 9 8 8 9 9 9 9 9 9 9 10 11 11 11 11 10 10 9 8 8 8 7 7 6 6 6 6 7 9 10 10 10 10 10 10 10 11 13 14 14 13 12 10 10 10 9 9 9 9 9 9 9 9 9 8 8 7 6 6 6 7 nan
nan 9 8 7 7 8 10 10 10 9 8 8 9 10 11 11 11 11 10 10 9 9 10 10 10 10 9 9 8 9 9 9 9 8 8 8 9 9 9 8 8 7 8 8 9 9 9 9 9 9 9 8 8 9 9 9 9 10 11 12 13 13 12 11 11 10 10 10 9 8 9 11 16 20 20 19 17 15 11 9 8 9 9 9 9 10 10 10 9 10 10 10 10 10 11 11 10 10 10 10 11 11 12 12 11 10 11 13 15 16 15 14 12 12 12 13 14 15 15 16 17 18 17 17 15 13 11 10 9 8 8 8 9 10 11 12 13 13 12 11 11 10 9 8 8 7 6 6 6 7 7 8 9 10 11 11 11 11 11 11 11 12 13 14 15 14 13 12 11 10 10 10 10 9 9 9 8 8 8 8 7 7 6 6 6 6 nan
nan 10 10 9 9 10 11 12 11 10 9 9 9 9 10 11 11 11 10 10 9 10 10 11 10 10 10 9 8 8 8 9 9 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 9 8 8 9 10 11 12 12 12 11 11 10 8 7 8 10 15 19 20 20 21 21 20 16 12 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 10 10 10 8 6 6 6 8 10 11 11 11 11 12 12 12 12 12 13 15 16 17 18 18 18 16 15 13 11 10 10 10 10 11 13 13 14 14 13 12 11 10 8 7 6 5 6 6 7 8 9 11 12 12 11 11 11 11 11 11 12 14 15 16 15 14 13 12 10 9 10 9 9 9 8 8 7 7 6 6 6 6 6 6 6 nan
nan 11 12 12 11 11 12 11 11 10 9 9 9 9 10 11 12 12 11 10 10 10 11 11 11 11 10 9 9 8 9 9 9 8 8 7 7 7 8 8 8 8 9 9 9 9 9 10 9 9 8 8 8 9 9 8 8 7 8 8 10 11 12 12 11 10 9 7 6 9 15 20 21 20 19 19 20 20 19 16 13 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 9 9 9 10 9 8 5 4 3 4 6 8 8 9 10 12 13 12 12 12 13 14 15 15 15 15 16 17 18 18 17 16 15 13 12 12 12 13 14 15 15 14 12 10 8 6 5 6 6 7 8 9 11 12 13 12 11 11 11 11 11 12 13 14 15 15 15 15 14 12 10 9 8 8 9 8 8 7 7 6 6 5 5 6 6 6 6 nan
nan 11 12 12 12 11 10 10 10 9 9 8 8 8 9 9 10 11 11 10 10 10 11 11 12 12 11 10 9 9 9 10 10 10 10 9 8 7 8 8 8 8 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 7 7 8 10 11 11 11 10 8 6 6 12 19 23 23 21 18 16 16 17 18 16 14 11 10 10 10 11 11 11 11 12 12 12 12 12 12 12 11 10 9 9 9 10 10 10 9 8 6 5 5 6 7 7 8 9 10 11 11 11 12 13 14 13 12 11 10 11 13 15 17 18 19 18 17 15 14 12 12 11 13 14 13 12 10 8 7 7 8 8 9 10 11 13 13 13 11 10 10 10 11 11 11 12 13 13 13 13 13 13 12 10 9 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 nan
nan 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 9 9 10 10 11 12 12 10 10 9 9 10 11 12 12 10 9 8 8 8 8 8 9 10 10 10 10 10 9 8 8 8 8 8 8 9 9 9 9 8 8 10 11 11 10 9 7 4 7 14 20 24 24 22 19 16 14 14 16 16 15 12 10 10 10 11 11 11 12 12 12 12 12 12 12 12 11 10 9 9 9 10 10 11 11 10 10 8 7 8 8 9 10 10 10 9 9 9 11 13 13 12 10 8 7 7 8 10 12 13 15 16 18 18 17 16 13 10 10 10 10 10 9 9 9 9 10 11 11 12 13 13 13 11 10 9 9 9 9 10 11 11 11 11 12 12 12 13 13 12 11 9 8 7 7 7 7 6 7 8 8 8 8 7 7 7 nan
nan 10 9 8 7 7 8 8 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 11 11 11 10 10 9 10 12 12 12 11 10 9 8 9 9 9 10 10 10 10 9 9 9 8 8 7 8 8 8 9 10 11 11 10 9 10 10 10 10 8 5 3 7 13 19 22 22 20 18 15 13 13 14 16 16 14 11 10 10 11 11 11 12 12 12 12 12 12 12 11 11 10 9 8 9 10 10 11 11 11 10 9 9 9 9 10 12 14 12 11 9 9 10 11 12 11 9 7 6 6 6 7 8 8 10 12 15 18 19 19 17 14 11 10 9 8 8 9 10 11 12 12 12 13 12 12 11 9 8 8 7 8 9 10 11 10 10 10 11 11 11 12 12 13 12 11 9 7 7 7 7 8 10 10 10 10 10 9 9 8 nan
nan 10 10 9 9 9 9 9 9 8 9 10 10 10 10 10 10 9 9 9 8 9 9 9 9 10 10 10 10 9 10 11 11 11 11 11 10 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 10 11 11 10 10 10 10 9 7 3 3 6 12 16 19 20 18 16 13 12 12 13 15 16 14 11 9 8 9 10 11 11 11 12 12 12 12 12 11 11 10 9 9 9 10 11 11 12 11 10 9 9 8 7 9 14 16 16 15 12 10 9 9 9 8 7 6 5 5 5 5 6 6 7 9 11 13 15 16 17 16 15 14 12 10 9 9 10 10 12 12 12 12 11 10 10 9 9 8 9 9 10 10 10 10 10 10 11 11 10 11 12 13 13 11 10 8 8 9 10 11 12 12 11 11 11 11 10 9 nan
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nan 8 8 8 9 9 10 10 10 10 9 9 9 10 11 11 11 10 10 9 9 9 10 10 11 11 10 9 9 10 10 11 11 11 10 10 10 9 9 8 8 7 7 8 8 9 10 10 9 9 9 8 8 9 9 9 8 7 8 8 9 9 8 8 7 4 1 1 5 9 12 14 15 15 14 12 10 9 10 11 14 15 13 10 8 7 7 7 6 7 8 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 13 14 14 14 14 14 13 12 10 9 7 7 6 5 4 5 5 6 7 8 8 6 5 3 4 5 7 9 10 12 14 16 17 17 16 15 14 12 11 9 8 8 8 9 9 9 8 7 7 7 8 9 11 13 13 13 12 11 10 9 10 12 13 13 12 11 11 11 11 11 11 11 11 10 10 nan
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nan 7 8 9 10 10 10 10 9 9 9 10 10 10 11 12 13 14 14 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 10 10 11 11 10 9 9 8 8 9 10 11 13 14 15 15 13 13 13 14 14 13 12 11 10 11 13 14 14 12 11 10 9 9 9 8 9 10 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 10 10 10 9 10 10 10 11 10 10 9 9 9 9 10 10 10 9 9 9 8 8 8 9 10 10 10 11 11 12 12 12 12 12 12 13 12 12 11 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 12 12 13 13 13 12 12 11 12 13 13 12 10 10 nan
nan 7 7 8 8 9 8 8 7 8 9 9 9 10 10 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 12 13 14 13 11 10 10 10 10 9 8 7 7 9 12 14 13 12 11 10 10 10 10 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 9 9 10 10 10 10 9 9 9 8 9 9 9 9 10 10 10 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 8 8 9 10 12 13 13 13 12 11 11 11 11 11 10 10 nan
nan 9 8 7 6 5 4 4 5 6 8 9 9 10 10 10 9 8 8 9 11 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 11 11 12 13 13 13 12 11 10 9 8 7 6 6 5 6 8 10 12 12 12 10 9 9 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 12 12 12 12 11 11 11 11 11 12 12 12 11 10 10 9 9 9 8 7 6 6 8 9 11 13 13 12 10 9 8 8 9 10 10 nan
nan 12 12 10 8 4 2 2 3 6 8 9 10 10 10 10 9 8 7 8 9 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 13 13 12 12 11 10 9 7 6 5 5 5 6 7 9 11 11 11 10 9 10 10 10 9 9 8 8 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 10 10 10 11 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 12 12 12 12 11 11 10 10 11 11 12 12 12 11 11 10 10 10 9 8 7 6 7 8 10 11 12 11 10 9 7 7 8 9 10 nan
nan 14 16 16 14 10 6 4 4 6 9 10 10 10 10 10 10 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 12 12 13 13 13 13 12 12 11 10 9 8 7 6 6 6 7 8 9 10 11 11 11 10 10 11 11 10 9 9 8 8 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 10 10 10 11 11 11 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 9 9 9 8 8 9 10 10 11 11 12 12 12 11 11 11 10 10 11 11 12 12 12 12 12 12 12 12 12 11 9 8 7 8 9 10 11 11 11 11 10 9 9 9 10 nan
nan 13 16 19 19 17 12 9 7 8 10 11 11 11 10 10 10 9 9 9 8 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 12 13 14 14 13 13 13 12 11 10 10 9 9 8 8 8 8 8 9 10 11 11 11 10 11 11 11 10 10 9 9 8 8 8 8 9 10 11 11 11 11 11 11 11 12 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 12 12 12 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 9 10 10 10 11 11 11 11 11 10 10 10 11 11 12 12 11 11 12 12 13 14 14 14 12 11 9 9 9 10 10 11 12 12 12 11 11 10 11 nan
nan 11 14 18 20 19 16 12 10 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 10 10 10 11 12 13 14 14 15 15 15 14 12 10 9 9 9 9 10 9 9 9 9 10 11 11 11 11 11 11 11 10 10 9 9 9 8 8 7 7 8 9 10 10 11 11 11 11 12 12 12 11 11 11 11 12 12 11 11 11 11 11 11 11 11 12 12 12 11 11 12 12 12 12 12 12 12 11 11 10 10 9 9 10 10 10 10 10 10 10 9 8 8 7 7 8 8 8 8 9 9 9 10 10 11 10 10 10 10 11 11 11 11 11 10 10 10 11 13 14 14 13 12 10 9 9 10 10 11 11 12 12 12 11 11 11 nan
nan 11 13 16 17 17 16 14 11 9 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 10 10 10 9 9 8 8 8 9 10 11 11 11 11 10 11 12 14 15 16 17 18 17 14 10 7 6 6 8 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 10 10 9 9 9 9 8 8 7 8 9 9 10 10 11 11 11 12 12 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 10 10 10 10 9 9 9 10 10 10 9 8 7 7 7 8 8 7 7 7 8 8 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 10 12 12 13 11 9 9 9 9 10 10 11 11 11 11 11 11 11 nan
nan 12 13 14 16 16 17 16 13 11 9 9 9 9 10 10 10 11 11 10 10 9 9 9 9 8 9 9 9 9 10 10 10 10 10 10 11 11 10 10 10 10 9 8 8 7 7 8 10 11 11 11 11 11 13 15 18 20 21 21 17 11 6 2 1 4 7 9 10 11 11 11 11 11 11 12 12 13 13 13 12 12 11 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 12 12 12 12 11 11 10 10 9 9 9 10 10 11 11 10 9 8 8 8 8 8 7 7 7 7 8 9 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 11 10 9 9 9 9 10 10 11 11 11 11 11 11 11 nan
nan 11 12 13 14 15 16 16 15 13 12 11 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 10 10 10 10 10 9 9 8 7 7 7 9 10 10 10 11 13 17 20 23 23 22 16 10 4 -0 -1 2 5 8 10 11 11 11 10 10 10 11 12 13 13 13 13 12 11 11 10 10 11 11 11 11 11 10 10 10 9 10 11 11 12 12 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 11 11 10 10 10 10 11 12 12 12 11 10 9 9 9 9 9 8 7 7 7 8 9 9 9 8 8 8 9 8 8 8 9 9 9 9 8 8 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 nan
nan 9 10 11 12 13 14 14 14 13 12 12 11 10 10 10 10 10 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 9 9 11 14 19 22 24 23 17 11 5 -1 -2 1 4 8 10 10 10 10 10 10 9 10 11 11 12 13 13 13 12 11 11 10 11 11 11 11 11 11 11 11 10 11 11 12 12 12 12 11 11 11 12 12 12 12 11 11 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 12 13 13 13 11 11 10 10 10 10 9 9 8 8 8 9 9 8 8 8 8 9 9 8 9 10 10 11 10 10 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 9 10 10 11 12 13 13 12 12 12 11 10 10 10 10 10 10 11 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 11 11 11 11 10 10 9 8 8 8 9 12 16 20 23 23 19 14 6 -0 -1 1 4 8 9 10 10 10 9 9 9 9 9 10 10 11 12 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 12 12 12 11 11 12 12 11 11 11 11 11 10 10 10 10 10 10 11 10 10 10 10 10 10 10 11 12 13 13 13 12 11 11 11 12 13 13 13 12 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 8 9 9 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 12 nan
nan 10 10 10 11 12 12 12 12 11 11 10 10 10 9 9 10 10 10 10 11 11 11 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 10 14 18 21 22 19 15 7 2 1 3 5 8 10 10 10 10 10 9 9 9 9 9 10 11 11 12 13 12 12 11 11 11 12 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 11 11 10 10 11 12 13 12 12 12 11 11 11 11 11 12 12 12 12 11 11 10 10 10 10 10 10 11 11 12 12 12 13 12 12 12 12 12 12 12 12 12 11 11 11 11 10 11 11 11 nan
nan 10 10 11 11 12 12 12 12 11 11 11 11 10 10 10 10 10 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 10 10 9 8 8 8 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 11 13 15 17 18 16 13 8 5 4 5 7 9 10 11 11 11 11 11 10 9 9 8 9 10 11 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 11 12 12 12 12 12 12 11 10 9 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 nan
nan 11 11 11 11 11 12 12 12 12 12 12 11 11 10 10 10 11 11 12 12 12 12 12 12 12 13 13 13 13 13 13 13 12 11 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 12 10 8 7 6 7 8 9 10 11 11 12 12 12 11 10 9 9 9 9 10 11 12 12 12 12 12 13 13 12 12 12 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 13 13 13 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 13 13 12 11 10 9 8 9 9 10 10 10 10 11 12 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 11 10 9 9 10 10 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 9 9 8 8 9 10 10 11 11 11 11 11 11 11 10 9 8 8 9 10 11 11 11 12 12 13 13 13 12 12 11 10 10 10 10 9 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 10 9 10 10 11 12 12 12 13 13 12 12 10 10 9 9 9 10 10 10 10 10 11 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 nan
nan 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 11 11 11 11 10 10 11 11 12 13 13 13 12 11 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 11 12 12 12 12 12 12 12 11 11 10 10 10 9 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 9 9 10 11 11 12 12 12 12 12 12 11 10 10 10 10 10 11 11 10 10 10 11 11 11 11 12 12 12 12 12 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 nan
nan 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 12 12 13 13 12 12 11 10 10 10 10 10 10 11 11 11 12 12 12 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 12 12 11 10 9 10 10 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 10 10 11 11 12 12 12 11 10 10 11 11 11 11 11 11 11 11 nan
nan 10 10 11 11 12 12 11 10 10 10 11 11 11 11 11 12 12 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 11 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 10 10 11 11 12 13 12 12 12 12 12 12 12 11 11 11 11 11 12 12 11 11 11 11 11 11 10 11 11 11 10 10 10 10 11 12 12 12 12 11 11 11 11 11 12 12 12 12 12 nan
nan 10 10 11 12 12 12 12 11 10 10 11 11 11 11 11 11 12 12 13 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 12 12 12 12 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 12 12 12 12 12 11 11 12 12 12 12 11 11 12 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 12 11 11 11 11 12 12 12 12 12 12 nan
nan 11 10 11 11 12 12 12 12 11 11 11 11 11 12 11 11 11 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 12 12 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 12 13 14 14 13 13 12 11 11 12 12 12 11 11 11 12 12 12 11 11 10 10 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 nan
nan 11 11 11 11 11 12 12 12 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 9 9 9 10 10 10 11 11 11 11 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 14 14 14 14 15 14 14 13 12 11 12 12 12 12 11 11 11 12 12 12 12 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 9 10 11 12 12 13 12 12 12 12 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 10 10 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 11 11 11 11 12 12 13 13 13 12 12 11 11 11 10 10 10 10 11 11 11 11 10 11 12 13 13 14 14 15 14 14 15 14 14 14 15 15 15 14 13 12 12 12 12 13 12 12 12 12 12 12 12 12 11 10 10 10 11 11 12 12 11 11 11 11 11 11 11 10 9 9 8 9 10 12 13 13 12 12 12 12 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 10 10 11 11 12 12 12 12 12 12 11 11 12 12 12 12 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 12 11 11 10 10 9 10 10 10 10 11 11 11 10 10 11 12 13 14 15 16 17 17 16 15 14 13 13 12 14 14 14 13 12 12 13 13 13 13 13 13 14 13 13 12 12 11 11 11 11 12 12 12 12 12 11 11 11 12 12 11 10 9 9 8 10 11 11 12 12 12 12 12 12 nan
nan 11 11 11 10 11 11 10 10 10 10 11 11 11 11 11 12 12 12 12 11 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 12 13 13 13 13 12 12 12 12 12 12 11 11 11 11 12 12 12 11 11 11 11 11 11 12 13 12 12 11 11 10 10 9 9 10 11 11 11 11 11 11 11 11 12 13 15 17 19 19 18 16 14 12 10 9 9 11 14 15 15 14 13 13 13 13 13 14 14 15 15 15 13 13 12 12 12 13 13 13 12 12 11 11 11 12 12 12 12 11 10 9 9 9 9 10 11 11 11 11 12 13 nan
nan 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 11 11 11 10 10 10 11 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 12 12 13 12 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 12 11 11 10 11 11 11 10 10 10 11 12 12 12 13 13 13 13 13 14 18 20 21 21 18 16 13 11 9 8 9 12 15 17 17 15 13 12 11 11 11 12 14 15 16 16 15 14 13 13 13 14 14 14 13 12 12 11 11 11 11 11 11 11 11 10 10 9 9 10 10 11 11 11 11 12 nan
nan 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 12 13 13 13 13 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 12 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 12 12 13 13 13 13 13 13 16 19 21 21 19 16 14 12 10 9 9 10 13 15 17 16 14 12 12 11 11 10 10 11 12 14 15 15 14 14 14 14 15 15 15 14 13 12 12 12 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 nan
nan 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 13 13 12 12 12 12 12 13 13 13 13 13 13 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 10 10 10 11 11 12 12 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 10 10 11 12 12 12 12 12 13 16 19 20 19 16 13 10 9 8 7 8 10 11 13 13 12 11 11 12 13 13 12 11 10 11 12 13 13 13 13 14 15 15 16 16 15 13 13 12 12 12 12 11 11 11 11 11 11 10 10 11 11 11 12 12 11 12 nan
nan 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 12 12 11 11 11 12 12 13 13 13 13 12 12 12 12 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 12 12 11 11 10 10 10 10 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 12 11 11 11 11 10 9 9 9 10 10 10 11 12 15 18 19 20 17 13 10 7 6 5 4 4 5 7 8 7 7 8 10 12 14 14 13 13 12 12 12 12 12 12 12 12 13 15 16 16 15 14 13 12 12 12 12 12 12 11 11 11 10 10 10 10 10 11 12 12 12 12 nan
nan 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 12 12 11 11 11 10 10 10 11 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 13 13 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 12 12 12 12 12 12 12 12 13 13 13 13 12 11 10 9 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 14 15 14 13 12 11 10 11 11 11 10 9 8 9 10 11 12 14 17 19 19 17 14 11 9 7 5 3 2 2 3 4 4 4 4 5 6 9 10 11 12 12 13 13 12 12 11 10 10 11 12 14 15 16 15 13 12 12 12 12 12 12 12 12 11 11 10 9 9 9 10 11 12 12 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
0 0 0 1 2 4 7 6 5 4 3 2 4 5 4 2 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 5 11 18 25 32 37 39 37 31 24 19 15 11 8 5 3 1 0 0 0 0 0 0 0 1 0 1 2 2 4 6 9 18 26 39 63 100 152 192 168 114 57 15 1 1 3 4 4 4 4 4 4 5 5 4 4 4 3 3 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 2 5 17 36 136 289 426 529 594 583 522 448 371 301 236 184 149 129 112 97 83 78 80 76 75 84 99 120 146 175 182 173 155 138 140 140 143 143 140 132 118 107 106 106 107 118 138 151 146 132 116 106 99 94 82 62 48 41 41 46 52 59 71 86 115 137 144 130 90 59 42 31 20 6
0 0 0 1 2 3 6 6 5 3 2 0 1 4 4 3 2 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 8 12 16 19 18 16 15 11 7 3 1 1 0 0 0 0 0 1 0 0 1 1 1 1 1 1 1 3 6 9 15 27 52 103 167 186 163 112 53 8 1 2 3 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 17 62 142 228 328 379 372 334 276 218 166 121 85 62 47 33 25 26 35 44 56 65 78 95 120 148 170 181 175 150 135 133 135 137 136 128 111 100 95 99 116 137 168 181 174 153 128 107 88 70 55 49 46 44 44 46 47 49 52 67 91 112 125 120 111 109 107 93 60 34
0 0 0 3 6 4 5 4 2 1 0 0 0 0 1 2 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 2 4 4 5 5 4 2 1 0 0 0 0 0 0 0 1 1 1 1 1 0 0 1 1 1 1 1 2 4 9 22 58 114 154 166 151 118 43 17 8 3 1 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 3 2 1 1 1 1 1 1 1 1 0 0 0 1 1 0 1 2 5 18 41 83 122 149 162 130 91 55 30 20 14 7 3 1 3 7 13 20 38 61 82 106 134 166 195 205 176 155 141 131 122 109 96 85 80 89 118 165 162 169 171 162 144 118 92 69 54 47 48 46 46 47 51 65 142 136 112 103 97 122 155 178 184 176 153 100 63
3 1 0 3 8 9 6 2 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 1 1 1 0 0 1 2 5 12 35 74 115 141 144 148 101 63 36 15 0 0 0 1 2 2 1 1 2 2 2 2 2 2 3 3 3 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 1 1 1 0 2 7 14 18 20 21 17 8 1 1 1 0 0 0 0 0 3 11 28 52 75 103 133 170 206 221 197 172 153 134 109 83 64 53 52 65 94 140 152 148 138 131 114 95 80 67 57 54 53 53 56 62 70 84 134 158 181 202 156 200 253 274 244 181 141 91 51
7 5 5 7 10 10 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 1 1 1 0 0 0 1 3 11 30 60 98 137 165 172 161 141 110 67 10 4 1 0 1 1 1 1 1 1 1 2 2 2 2 2 3 2 2 2 2 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 2 10 31 62 103 143 183 224 238 223 197 165 131 92 63 48 44 46 51 71 100 117 118 108 100 84 74 72 71 64 60 63 68 77 90 106 125 151 199 283 373 305 305 309 280 205 120 82 49 24
12 12 12 13 14 14 13 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 1 6 21 47 82 119 153 184 207 213 200 159 72 31 11 2 0 0 1 1 1 1 1 1 1 2 2 2 3 3 3 3 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 12 35 86 147 197 240 246 233 203 166 123 82 61 56 59 60 56 59 70 81 81 69 56 43 42 52 67 70 73 79 89 101 116 135 166 222 303 399 430 385 332 274 203 118 65 40 29 25
17 19 20 20 20 19 17 15 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 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 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 3 17 40 70 104 139 170 199 223 235 225 163 107 60 23 1 0 0 0 0 0 0 0 0 0 1 2 4 4 4 3 3 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 2 12 49 104 154 204 217 204 176 143 104 78 68 67 67 64 58 58 55 47 33 25 22 26 37 54 69 79 88 98 109 123 140 167 208 263 313 356 357 327 273 201 142 92 59 41 35 41
20 25 26 26 26 26 24 20 13 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 19 44 72 108 139 148 158 174 190 203 201 190 158 101 35 13 3 0 0 0 0 0 0 0 0 1 2 3 3 3 3 2 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 3 15 40 73 118 146 150 134 110 86 71 64 60 55 52 49 41 29 16 5 8 24 45 62 77 84 93 104 115 127 142 161 186 213 233 243 240 230 212 185 134 98 76 70 67 55 57
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20 25 26 30 34 37 37 33 28 21 15 9 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 7 17 33 56 87 129 143 135 119 105 91 85 84 112 157 187 173 138 76 24 6 1 0 0 0 0 0 0 0 1 1 0 0 1 1 1 1 1 2 1 1 1 1 1 0 0 1 1 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 1 1 1 1 1 1 1 3 7 10 15 23 26 22 15 10 7 4 2 2 4 11 28 45 61 77 92 101 109 115 119 124 134 149 168 187 199 194 174 138 107 94 96 96 96 94 90 83 70 55 41
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