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 8 7 7 7 8 9 8 8 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 9 9 8 7 5 5 5 5 6 6 5 4 4 4 5 5 6 6 6 6 6 6 6 5 5 5 5 6 6 7 7 7 6 6 7 6 6 7 7 8 8 8 8 8 7 7 7 7 7 7 6 7 7 7 7 7 7 7 8 9 9 10 10 10 10 11 11 11 11 11 11 11 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 nan
nan 8 8 8 8 8 8 9 8 8 7 7 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 8 8 7 5 4 4 4 5 5 5 5 6 7 9 9 9 8 7 7 6 5 4 3 4 5 6 6 6 5 3 3 4 5 5 5 6 7 8 8 8 8 7 7 6 7 7 6 6 6 6 7 8 7 6 6 6 7 8 9 9 9 10 10 10 11 11 12 12 12 11 11 11 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 7 7 7 7 8 8 7 7 7 7 7 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 6 6 nan
nan 7 8 9 9 9 9 8 8 8 8 7 7 8 8 8 8 7 7 7 7 6 6 6 6 6 6 7 7 8 8 8 7 6 6 5 6 6 7 7 7 7 8 9 9 8 7 6 5 4 2 2 2 4 6 6 5 3 0 0 2 3 4 4 4 6 7 8 8 7 7 7 6 6 7 6 6 6 6 6 7 7 7 6 5 6 7 7 8 8 8 9 9 10 10 11 11 12 12 12 11 11 11 11 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 8 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 6 5 4 3 3 4 4 5 6 7 7 7 7 7 7 8 9 9 10 10 9 8 8 8 6 5 5 5 4 3 2 3 4 6 6 5 3 1 1 3 6 7 7 6 7 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 6 6 7 8 8 7 7 7 8 8 9 9 10 11 11 12 12 12 12 12 11 11 11 10 10 10 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 10 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 7 7 7 6 6 6 6 6 nan
nan 7 7 7 8 9 8 8 8 8 8 8 7 7 7 6 7 7 7 7 6 5 4 3 3 4 5 6 6 5 5 6 7 8 10 11 12 12 12 11 10 9 8 7 5 4 5 6 6 5 5 6 7 7 7 6 4 4 6 9 11 11 11 11 10 10 9 8 8 8 8 8 9 9 8 7 7 7 7 7 6 7 7 8 9 11 10 9 8 7 7 8 8 9 10 10 11 11 12 12 12 12 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 9 9 8 8 9 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 7 7 6 6 6 6 6 nan
nan 7 7 7 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 7 7 7 6 6 7 8 9 9 8 5 5 7 9 10 12 13 13 12 11 9 8 8 8 7 6 6 7 8 8 8 7 7 7 8 9 8 6 7 9 10 11 11 10 10 10 11 10 9 9 8 9 10 10 10 9 8 7 7 7 6 7 7 7 9 10 12 12 11 10 9 8 8 9 9 10 11 11 11 11 12 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 9 9 9 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 7 7 7 6 6 6 nan
nan 8 7 7 7 7 8 8 8 7 7 7 6 6 6 7 7 7 7 8 9 10 10 11 11 11 11 10 9 8 8 9 9 10 11 12 11 10 8 7 7 7 7 7 7 8 9 9 8 7 6 6 7 8 8 8 7 7 8 9 9 8 7 7 8 9 10 9 9 9 9 10 10 10 9 8 7 7 6 6 7 7 7 8 9 10 12 12 12 11 10 10 11 11 11 11 11 10 10 10 11 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 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 7 7 7 6 6 6 nan
nan 9 8 8 8 8 7 7 7 7 6 6 6 6 6 7 8 8 7 8 9 10 12 13 12 11 10 9 9 9 10 9 7 7 7 7 7 7 6 6 7 7 6 6 6 7 7 7 6 5 6 6 7 8 7 7 7 7 8 9 9 8 8 8 9 9 9 9 8 8 8 9 9 9 8 8 7 7 6 6 7 7 7 7 7 8 9 11 13 14 15 16 15 13 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 9 9 9 8 8 8 7 7 7 7 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 7 7 7 6 6 6 nan
nan 9 8 8 8 8 8 7 7 7 6 6 6 7 7 7 7 7 7 8 8 9 10 11 11 9 8 7 7 8 8 6 4 3 4 4 4 5 5 5 6 6 6 6 5 5 6 6 6 6 7 8 8 9 9 9 8 8 9 10 10 9 9 10 10 10 9 9 8 8 8 8 9 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 11 14 17 18 17 14 11 9 8 8 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 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 6 6 nan
nan 10 8 8 8 8 8 7 7 6 6 6 7 7 8 7 7 7 7 8 7 7 8 8 8 7 6 5 5 5 4 3 2 2 3 4 4 5 5 5 5 6 6 5 5 6 6 7 7 8 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 8 8 9 8 8 8 8 7 7 7 8 8 7 7 7 7 8 9 11 13 14 14 12 10 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 12 11 11 10 10 10 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 9 9 8 8 8 8 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 4 4 3 2 3 3 4 6 7 7 6 6 6 6 6 6 6 6 7 7 7 8 8 9 8 8 8 8 8 8 9 10 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 8 8 8 8 7 7 8 8 8 7 7 8 8 8 8 8 9 9 9 10 11 12 11 10 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 12 12 11 11 10 10 10 10 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 8 8 8 8 8 8 7 6 6 6 6 7 7 7 7 7 8 7 7 6 7 7 7 6 6 5 3 3 3 4 6 7 8 9 9 8 7 7 7 6 6 5 6 6 7 7 7 7 8 8 7 7 7 7 8 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 9 8 8 8 8 8 7 8 8 9 8 7 7 7 7 7 8 7 7 7 7 9 12 13 14 12 11 10 9 8 8 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 12 12 11 11 11 11 10 10 10 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 nan
nan 8 8 8 8 8 8 7 6 6 6 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 5 4 4 5 6 8 9 10 10 9 8 8 7 7 6 6 6 6 7 7 7 7 8 8 7 6 6 7 8 8 9 10 10 11 11 10 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 8 9 9 8 7 7 7 7 7 7 7 6 6 7 8 10 12 14 15 14 13 11 9 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 11 11 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 nan
nan 7 7 7 7 7 7 7 6 6 6 6 7 8 9 9 9 9 8 7 7 7 7 8 8 8 7 6 6 6 7 9 9 10 10 9 8 8 7 6 6 6 7 7 7 7 7 8 8 8 7 7 7 8 9 10 10 10 10 10 10 9 8 8 8 7 7 7 7 8 8 8 8 7 8 8 8 7 7 8 9 9 8 7 7 7 7 8 7 6 6 6 7 7 8 9 11 14 15 15 13 10 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 11 10 10 10 10 10 10 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 nan
nan 6 6 6 6 7 7 7 6 6 6 6 7 8 9 9 9 8 7 6 7 8 8 8 8 9 8 7 7 8 8 9 9 10 9 9 8 7 6 6 7 7 7 7 7 7 8 8 8 8 8 8 9 10 11 11 10 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 8 9 8 8 7 7 7 8 8 8 7 7 7 7 7 7 7 8 10 13 13 12 9 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 11 11 11 12 12 12 12 12 11 11 11 11 11 10 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 nan
nan 6 5 6 6 7 7 7 6 6 7 7 7 8 9 9 9 7 6 7 8 8 8 8 8 8 8 8 8 9 10 10 10 9 8 7 6 5 6 7 8 7 7 7 7 7 8 8 8 9 9 9 10 10 11 11 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 10 10 10 9 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 10 10 11 11 11 11 12 12 12 12 12 12 11 11 10 10 9 9 9 9 9 8 8 8 8 7 7 7 7 7 nan
nan 7 7 7 7 7 7 7 7 7 7 8 8 9 10 9 8 7 7 8 8 8 8 7 6 6 6 7 9 10 10 10 9 8 6 5 4 5 6 8 8 8 7 7 7 7 7 7 8 10 10 10 9 10 10 10 9 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 8 8 8 8 9 8 7 7 7 7 7 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 11 11 11 11 11 10 10 9 9 9 9 8 8 8 8 7 7 7 nan
nan 10 9 8 8 9 9 8 8 8 8 8 9 10 10 9 8 7 8 8 7 7 7 6 4 3 4 6 7 8 8 8 7 6 5 4 4 5 7 7 7 7 7 7 7 7 7 7 8 10 10 9 9 9 9 8 8 8 7 7 8 8 8 7 7 8 7 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 9 8 8 8 8 9 9 9 8 8 8 7 7 8 9 9 10 11 10 9 8 8 8 9 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 12 12 12 12 12 12 11 10 10 10 9 9 9 9 9 8 8 7 7 nan
nan 13 12 10 10 10 10 10 9 9 9 9 10 10 10 10 8 8 7 7 7 6 5 4 3 3 4 5 6 6 6 6 6 5 4 4 5 7 8 8 7 7 6 7 7 7 7 7 8 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 9 9 9 9 9 9 9 9 8 8 7 8 9 11 14 15 14 13 11 11 12 12 11 10 9 9 8 8 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 11 11 11 12 13 13 13 12 12 11 11 11 10 10 10 9 9 9 8 8 8 nan
nan 14 13 12 11 10 11 11 10 10 10 10 11 11 11 9 8 7 7 6 6 5 4 3 3 4 6 7 7 6 6 6 5 5 5 6 8 9 10 10 9 8 7 7 7 8 8 8 9 9 9 8 8 8 8 7 7 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 9 9 8 9 9 9 8 7 8 9 11 14 16 17 17 18 20 20 18 16 13 11 10 9 8 8 7 7 6 6 6 6 6 6 6 7 7 7 7 7 8 8 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 11 11 11 10 10 10 10 11 11 12 13 13 14 14 14 13 12 12 11 11 10 10 10 9 9 8 8 nan
nan 12 12 11 11 10 10 10 11 11 10 11 11 11 10 8 7 6 6 6 6 5 4 4 4 6 7 8 7 6 6 5 5 6 7 8 9 11 11 11 10 10 10 9 8 8 9 10 10 9 8 8 7 7 7 6 6 6 6 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 9 9 9 9 9 9 9 8 8 8 8 8 8 7 8 9 8 10 11 13 16 19 23 26 25 23 19 15 12 10 9 9 8 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 11 12 12 12 11 11 11 10 10 10 10 11 11 12 13 15 15 15 15 14 14 13 12 12 11 10 10 9 9 9 nan
nan 9 10 10 10 10 9 9 10 10 10 10 10 10 9 7 6 6 7 7 7 7 6 6 6 7 8 8 7 7 6 6 7 8 9 9 10 9 9 8 9 10 10 10 9 8 8 9 9 9 8 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 9 9 9 9 9 9 10 9 9 9 9 9 8 8 7 8 9 9 9 9 10 11 13 16 18 20 21 20 17 14 12 11 10 9 8 8 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 11 11 12 12 11 11 11 11 10 10 10 9 10 11 12 14 15 16 16 16 15 14 14 13 12 11 10 10 10 10 nan
nan 8 9 10 10 10 9 9 9 9 9 10 10 10 8 6 6 7 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 10 11 11 10 8 7 6 6 7 8 9 8 7 7 7 7 7 6 6 6 6 6 7 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 9 9 9 9 9 10 10 10 10 9 9 9 9 8 7 9 9 9 9 9 9 9 10 11 11 11 12 12 13 14 14 13 11 10 9 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 12 12 11 11 11 11 10 10 9 9 9 10 11 13 14 16 17 16 16 15 14 13 11 10 10 10 11 nan
nan 8 9 10 10 10 10 9 9 10 10 11 11 10 9 7 7 8 9 9 9 9 9 10 10 9 9 9 10 10 10 10 10 10 11 10 10 10 8 6 5 5 6 7 8 8 8 8 7 7 7 7 7 7 8 8 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 7 8 9 10 9 9 9 9 8 8 8 8 8 8 9 11 15 18 17 15 13 11 10 9 9 8 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 8 8 8 10 12 14 15 16 16 16 16 15 13 12 11 11 11 nan
nan 8 9 9 9 9 9 9 9 9 10 11 11 10 8 8 8 8 8 9 9 8 8 9 9 9 8 9 10 11 11 11 10 10 9 9 10 11 10 8 6 5 5 6 8 10 11 11 11 11 11 11 10 9 9 10 10 11 11 11 11 11 11 11 10 10 10 9 9 8 8 7 7 7 8 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 9 8 8 9 9 10 9 9 9 9 9 8 8 8 8 8 8 11 15 18 19 19 18 15 13 11 10 10 9 8 8 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 11 11 11 11 12 12 12 11 11 10 9 8 7 8 9 11 12 14 16 18 19 19 18 15 13 13 12 nan
nan 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 7 7 8 8 8 7 7 7 8 7 8 9 10 11 11 11 10 9 8 7 8 10 10 9 8 7 6 6 9 11 12 14 14 14 14 14 13 11 10 10 10 11 12 12 12 12 12 12 12 11 11 10 10 9 8 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 11 14 17 20 21 19 17 15 13 12 11 10 10 9 9 8 8 7 7 7 7 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 11 11 12 12 12 11 11 10 9 8 8 8 8 9 11 15 18 20 21 21 19 17 15 13 nan
nan 7 6 6 6 7 7 8 8 8 8 8 7 6 7 7 6 6 7 8 8 7 7 7 8 8 8 9 9 9 10 10 10 8 7 7 7 9 10 10 10 9 7 8 10 11 12 13 14 15 14 13 12 11 10 10 9 10 10 10 10 11 12 13 13 12 12 11 11 10 9 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 8 8 8 8 9 9 10 9 9 9 8 9 9 8 8 7 8 8 8 8 8 9 10 12 16 19 20 20 19 17 16 16 16 15 13 12 10 9 8 8 7 7 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 9 10 10 11 12 12 12 11 11 11 11 10 9 8 7 7 8 11 13 16 19 21 21 21 19 16 nan
nan 6 6 6 6 6 6 7 7 7 7 7 6 6 7 7 6 6 6 7 8 8 7 8 9 9 9 10 9 8 8 8 8 7 8 8 8 8 9 10 11 10 9 9 9 9 10 11 11 11 10 9 8 8 8 8 8 8 8 8 8 10 11 12 13 12 12 11 11 11 10 9 9 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 8 8 8 9 8 8 8 9 10 13 17 19 21 22 23 24 25 23 20 16 12 10 9 8 7 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 12 12 11 10 9 7 7 7 8 11 14 17 20 22 22 20 nan
nan 6 6 7 8 7 6 7 7 7 7 7 7 7 8 8 7 6 6 7 8 8 9 10 10 10 10 9 9 8 7 7 7 7 8 8 7 7 7 9 9 9 9 8 8 9 10 11 10 7 5 4 4 4 6 7 8 8 8 8 8 9 10 10 11 11 11 11 11 11 10 10 9 9 9 9 8 9 9 9 8 8 9 9 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 8 9 9 8 8 7 8 8 8 8 9 12 15 18 22 24 26 26 25 21 15 11 9 8 7 7 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 9 9 9 9 9 9 10 11 11 11 11 10 10 11 11 12 13 12 11 10 8 7 6 7 10 13 17 21 23 23 nan
nan 7 7 8 8 8 7 7 8 7 7 7 7 8 9 9 8 7 7 7 9 9 10 10 9 9 9 8 8 7 7 7 7 7 7 6 5 5 6 7 8 8 8 9 9 9 10 11 9 6 3 1 2 3 6 8 9 9 9 9 9 9 9 8 8 8 10 11 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 8 8 9 9 9 8 8 8 9 10 10 10 9 9 9 9 9 8 8 7 7 7 7 7 7 8 9 10 13 15 17 18 16 13 10 8 7 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 11 10 10 10 10 11 12 13 13 13 12 10 8 7 7 7 9 13 17 20 22 nan
nan 7 7 7 8 8 8 8 8 7 7 7 8 9 9 9 9 8 8 8 9 10 9 8 8 7 7 7 7 7 7 8 8 8 7 6 5 5 6 6 6 7 8 8 9 10 11 11 10 6 4 2 3 5 7 8 9 9 10 10 10 9 8 7 7 8 10 12 13 12 13 12 12 11 10 10 9 8 8 9 9 9 9 8 8 9 9 9 9 8 8 9 10 10 9 8 8 8 8 9 10 10 9 10 10 9 9 8 8 7 7 7 7 7 7 7 8 8 9 10 11 10 6 1 -1 1 3 5 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 11 12 12 13 13 12 11 9 7 6 7 9 12 15 19 nan
nan 7 7 7 8 9 9 9 8 7 7 7 8 8 9 9 10 9 8 8 8 9 8 8 7 6 6 7 7 7 8 8 9 9 8 7 6 6 6 5 5 6 6 7 8 10 11 11 10 8 6 5 6 7 7 6 6 7 7 8 9 9 8 8 8 9 11 12 12 11 12 11 11 11 11 10 8 7 7 8 8 8 8 8 8 8 9 9 9 8 8 9 9 9 9 8 8 8 8 8 9 9 9 10 10 9 9 8 9 8 8 8 8 8 8 8 8 8 8 8 8 7 3 -1 -1 2 5 7 8 8 9 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 12 12 13 12 11 9 7 6 6 8 11 15 nan
nan 7 7 7 9 10 10 9 8 8 7 7 7 7 8 9 10 9 8 7 8 8 8 8 8 7 7 7 7 7 8 9 9 9 8 8 8 7 7 6 5 5 5 6 7 8 10 11 11 9 8 8 8 8 6 4 4 4 5 6 8 9 9 9 9 10 11 10 9 7 7 7 8 9 10 10 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 9 9 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 5 2 2 5 9 12 14 13 12 11 10 10 9 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 12 12 12 11 9 7 5 6 8 10 nan
nan 7 7 8 9 10 9 9 8 7 7 6 6 7 8 9 9 9 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 7 6 5 5 5 6 6 8 10 10 10 9 9 9 8 6 4 4 4 4 6 8 9 8 7 7 8 7 6 4 3 3 4 7 9 11 12 11 11 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 6 6 6 10 16 20 22 21 19 16 14 12 11 10 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 12 12 12 11 9 7 5 5 6 nan
nan 6 7 8 9 8 8 8 7 7 6 6 7 8 8 9 8 8 7 7 7 7 8 8 8 9 9 9 10 10 10 10 10 10 10 9 8 7 8 8 5 4 4 5 5 6 7 9 9 10 10 9 8 7 6 5 5 5 5 5 6 6 4 3 4 4 3 3 2 2 3 6 9 12 14 14 13 12 11 9 8 7 8 8 9 9 9 9 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 8 9 11 14 19 23 25 25 24 23 20 17 14 11 10 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 12 12 12 11 9 7 5 5 nan
nan 7 7 7 7 8 8 7 7 6 6 6 7 8 8 8 8 8 7 7 6 6 7 8 8 9 9 10 10 10 9 9 10 11 11 9 8 8 9 8 5 3 3 5 6 7 7 7 8 9 11 11 9 7 6 7 7 6 5 4 4 3 2 1 2 2 2 2 3 4 6 8 11 14 14 13 11 11 10 10 9 8 8 9 9 9 10 9 8 7 6 6 6 6 7 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 10 12 16 18 19 18 18 19 21 20 18 14 11 10 9 9 8 8 8 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 12 12 12 11 10 9 7 6 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 10 9 8 8 9 10 10 8 7 8 10 9 6 4 4 6 7 7 7 6 7 8 11 12 10 8 8 9 9 9 6 4 3 2 2 2 2 3 3 3 4 5 7 9 10 11 10 8 7 8 9 9 9 9 9 9 9 10 10 9 8 7 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 9 10 10 10 10 10 9 9 9 9 9 9 9 8 9 10 12 12 11 10 11 12 15 16 15 12 10 9 8 8 7 7 7 8 9 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 12 12 12 11 10 9 8 nan
nan 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 7 7 6 6 7 7 7 8 8 8 8 9 9 8 7 7 7 8 8 8 7 8 9 10 9 8 7 8 9 8 6 5 5 7 9 11 11 10 10 11 11 10 7 6 6 6 5 5 5 4 4 4 5 6 6 7 8 7 5 5 5 7 9 10 10 10 10 10 10 10 9 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 10 10 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 9 7 6 5 5 7 7 7 6 6 6 6 6 6 7 8 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 12 11 11 11 10 10 nan
nan 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 6 5 5 6 7 8 8 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 9 10 10 11 11 9 7 5 5 5 6 7 8 9 10 10 11 10 8 7 8 9 10 9 8 7 7 6 6 5 5 5 6 6 4 3 4 6 8 9 10 11 11 11 10 11 10 9 9 9 9 9 9 8 8 8 8 8 8 7 7 8 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 9 9 9 9 9 10 9 7 4 -0 -3 -5 -5 -5 -2 1 3 3 4 4 6 7 8 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 11 11 10 10 10 10 nan
nan 8 7 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 5 5 6 7 8 8 7 6 7 7 7 8 9 9 9 8 8 7 7 6 7 9 10 11 11 11 8 5 5 5 6 6 6 6 7 7 9 10 10 9 8 9 10 11 10 10 10 10 9 8 6 5 5 5 5 4 3 4 7 8 9 9 10 10 10 10 10 9 9 10 10 10 10 10 9 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 8 9 9 10 9 7 6 3 -0 -4 -7 -8 -8 -4 0 2 3 4 5 6 8 9 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 9 nan
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nan 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 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 10 8 6 5 5 5 6 6 6 7 8 9 10 10 10 10 10 10 10 9 8 7 5 4 4 5 6 7 8 9 10 10 10 8 7 6 6 8 9 10 10 10 10 10 10 10 10 10 11 10 10 10 10 12 14 15 15 14 13 12 11 10 9 9 8 8 8 8 8 9 10 11 11 11 11 11 11 12 13 13 14 15 16 16 14 10 7 4 5 8 11 14 15 14 13 14 16 16 15 13 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 nan
nan 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 7 7 6 6 6 7 7 7 7 8 10 11 11 12 12 11 11 11 11 11 10 10 9 8 7 8 9 11 12 13 13 12 12 11 10 10 9 10 10 10 10 10 10 10 10 11 11 12 12 11 11 11 13 15 15 15 13 12 11 11 10 10 9 10 9 9 8 8 9 10 11 12 12 11 12 12 13 13 13 13 13 14 14 15 13 10 4 -1 -3 -4 -3 -2 -0 2 5 9 11 11 10 9 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 nan
nan 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 10 10 10 9 8 7 7 6 6 6 6 7 7 7 8 10 11 12 13 14 14 13 13 13 14 13 13 14 14 13 12 10 10 11 12 12 13 14 14 15 14 12 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 11 11 12 11 10 10 11 11 11 11 11 10 10 9 10 10 10 11 11 12 12 12 12 12 13 13 13 13 14 16 18 20 21 18 13 8 4 2 -0 2 4 6 7 6 8 9 10 10 9 9 9 9 9 10 10 10 11 12 13 12 12 12 12 12 11 11 11 11 nan
nan 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 11 10 10 10 11 11 11 11 11 11 11 11 11 10 10 9 8 8 7 7 7 6 5 4 5 6 9 10 12 13 14 14 14 14 14 15 15 15 15 15 14 15 14 12 11 11 11 12 13 14 15 15 14 12 11 10 10 10 10 10 9 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 12 12 11 10 10 10 10 9 10 10 11 11 12 12 11 12 12 13 12 13 14 16 19 22 25 26 25 22 20 20 21 22 21 19 18 18 19 19 18 16 15 13 12 11 11 12 14 17 19 18 16 14 13 12 12 11 11 11 10 nan
nan 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 9 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 11 12 12 12 12 12 12 11 11 11 10 10 8 8 8 7 6 5 3 1 -2 -3 -2 1 4 6 7 8 9 10 12 13 14 15 15 15 14 14 13 14 14 13 12 11 11 12 13 14 14 13 12 12 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 11 10 10 9 9 10 11 11 12 12 10 10 10 9 9 9 10 10 10 11 11 11 11 11 11 12 12 11 11 13 16 19 24 27 27 27 29 30 31 31 29 29 29 29 29 28 27 24 21 19 17 16 16 19 22 23 20 17 14 12 11 11 10 10 10 10 nan
nan 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 9 8 8 10 11 11 11 11 12 12 13 13 13 12 11 11 11 10 10 10 11 12 12 13 12 12 12 11 11 11 11 10 8 7 6 5 3 -0 -3 -6 -9 -10 -9 -6 -4 -3 -2 -2 -1 -0 3 7 11 13 13 12 12 12 12 12 12 13 13 12 11 10 11 11 12 12 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 8 8 9 10 11 12 11 10 10 9 9 9 9 10 9 9 9 10 10 11 11 11 11 11 11 10 10 11 12 14 17 19 21 22 22 23 23 23 24 26 27 28 29 30 29 27 26 25 24 22 20 18 17 16 15 14 13 12 12 11 11 10 10 nan
nan 11 11 11 11 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 10 9 6 2 -1 -2 -0 2 4 6 8 10 11 12 13 13 12 11 11 11 11 10 10 10 10 11 12 12 12 12 12 11 11 10 10 9 8 7 5 1 -4 -8 -10 -10 -10 -7 -4 -2 -1 -2 -3 -4 -4 -3 -1 2 5 7 7 8 8 8 9 9 10 10 11 10 10 9 9 10 10 10 10 10 10 10 10 10 11 11 11 12 12 11 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 9 9 10 10 10 9 9 9 9 10 10 10 9 9 9 9 10 12 13 12 12 12 11 10 10 10 10 10 11 12 13 13 13 13 13 14 14 16 17 19 20 22 24 26 27 28 28 25 21 17 15 16 18 19 19 18 16 13 11 10 9 nan
nan 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 8 5 -1 -6 -9 -10 -8 -5 -2 2 6 9 10 11 12 11 11 10 11 11 11 11 11 10 10 11 11 11 11 11 12 12 11 10 9 8 7 5 2 -3 -7 -9 -7 -4 -1 2 5 6 6 5 4 4 3 2 1 -0 -2 -3 -2 -1 1 3 5 6 7 8 8 7 7 7 8 8 9 9 9 9 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 9 9 8 7 7 7 7 8 8 9 9 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 12 13 14 14 13 12 11 10 10 9 10 10 10 11 11 11 10 10 10 10 11 11 11 12 13 16 19 21 21 22 24 23 21 19 19 20 19 19 17 14 12 10 9 8 nan
nan 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 8 5 0 -5 -8 -9 -8 -7 -5 -2 2 6 8 10 11 11 11 11 11 12 12 12 12 11 11 11 10 10 10 10 11 11 11 11 10 9 8 6 4 1 -1 -2 -0 4 6 8 9 10 11 10 10 10 10 10 8 6 2 -3 -7 -8 -8 -6 -3 -0 2 4 4 4 4 5 5 6 7 8 8 8 9 9 9 9 9 9 10 10 10 10 9 9 8 8 7 8 8 8 7 7 6 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 13 14 14 15 14 13 12 11 10 10 10 10 11 11 12 11 11 11 10 10 10 10 10 10 10 12 13 13 14 15 17 19 20 17 13 10 7 6 6 6 6 6 6 7 nan
nan 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 8 8 8 8 7 2 -3 -6 -6 -4 -3 -2 -0 2 6 8 9 11 13 13 12 12 12 13 13 13 12 11 10 10 10 9 8 8 9 10 10 10 10 9 8 6 6 6 7 9 13 16 17 18 18 17 16 13 12 11 11 11 10 9 6 3 -0 -3 -4 -5 -5 -5 -4 -3 -2 1 3 5 5 5 5 6 6 7 7 8 8 8 9 9 9 9 9 9 8 7 6 5 4 5 6 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 11 12 13 15 15 15 14 13 12 10 10 10 10 10 12 13 13 12 12 11 10 10 10 10 10 10 11 11 11 11 11 12 13 13 11 6 1 -2 -3 -1 0 3 4 6 7 nan
nan 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 9 7 8 8 8 5 -0 -4 -4 -3 -2 -0 2 4 6 8 11 14 16 17 15 12 12 12 13 14 13 10 9 8 8 8 7 6 7 7 8 9 9 9 8 8 8 10 12 14 18 22 24 25 25 25 24 20 16 14 12 11 11 10 9 9 8 7 7 5 3 0 -3 -5 -6 -5 -2 1 3 5 5 4 4 4 5 5 6 7 8 8 9 9 9 9 8 7 6 6 5 5 5 6 8 10 11 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 9 10 11 12 14 15 15 15 15 12 11 10 9 9 10 11 12 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 7 5 2 1 0 1 2 4 6 7 8 nan
nan 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 8 7 7 7 7 3 -2 -4 -3 -2 -0 1 4 6 8 11 14 17 19 18 14 12 12 13 13 14 11 9 7 7 7 7 6 6 7 7 8 9 9 9 9 10 11 12 12 13 16 18 20 20 20 20 19 18 18 18 17 15 12 10 9 8 8 9 9 9 8 6 4 2 -0 -1 -2 -3 -4 -3 -1 0 1 3 4 5 5 6 7 8 9 9 8 8 7 7 7 8 8 8 8 8 9 10 11 12 11 10 10 10 9 9 8 8 8 8 8 8 9 9 9 8 7 7 7 7 8 8 9 10 12 14 15 16 15 12 11 10 9 9 10 11 12 13 12 12 11 10 10 9 9 10 10 10 10 10 10 10 9 7 5 4 4 3 3 4 4 5 6 7 8 9 nan
nan 11 10 9 9 9 8 8 9 9 10 10 10 10 10 10 10 9 8 8 8 7 5 0 -3 -4 -3 -1 1 3 6 8 10 11 14 17 19 18 14 13 12 13 13 12 10 8 7 7 8 8 7 7 8 9 10 10 10 10 11 12 12 11 10 10 10 11 10 8 6 5 7 11 16 20 20 18 16 13 10 8 8 8 8 8 8 8 8 8 7 4 1 -3 -7 -9 -8 -6 -3 1 3 4 4 5 5 6 7 7 7 7 7 7 8 9 10 10 10 9 9 9 9 8 8 7 8 9 9 9 8 8 7 7 8 8 8 8 8 7 6 6 5 6 7 7 8 10 11 13 15 15 13 12 11 10 9 9 10 11 12 13 12 11 11 10 10 10 9 9 9 10 10 10 10 8 5 2 1 1 1 2 3 4 5 6 7 8 9 10 nan
nan 10 9 8 8 8 8 8 9 10 10 10 10 10 10 10 10 9 9 8 8 7 4 -1 -3 -3 -2 0 2 5 7 9 10 11 13 16 18 18 17 15 14 14 14 11 9 8 7 9 9 9 9 9 10 11 11 11 11 12 12 12 11 9 8 8 8 7 4 -0 -4 -3 -0 5 12 16 19 19 19 17 14 11 9 8 8 8 9 9 10 10 10 8 6 4 1 -3 -5 -6 -5 -3 -1 1 3 4 4 4 4 5 6 6 6 7 7 8 7 7 7 7 7 6 5 5 5 5 6 7 8 9 9 7 7 7 7 7 7 8 8 8 8 7 6 6 6 7 8 10 10 12 14 14 12 11 10 8 9 9 9 10 11 12 12 11 11 10 10 10 9 9 10 10 11 11 11 9 5 3 2 2 2 3 4 5 6 6 8 8 9 10 nan
nan 9 9 8 8 8 9 9 10 10 10 10 11 10 10 10 9 9 8 8 8 7 4 1 -1 -1 -0 2 4 5 7 9 10 11 12 15 18 20 20 18 16 15 14 11 9 9 10 11 11 11 11 12 13 13 13 13 12 12 12 11 9 8 7 7 7 7 5 2 2 4 7 10 12 12 15 17 19 20 19 16 15 13 13 13 13 13 14 15 15 15 14 12 10 7 4 1 -2 -4 -4 -3 0 3 3 4 4 4 4 4 5 5 5 5 5 6 6 7 7 6 5 5 5 5 5 6 7 8 8 7 8 9 9 9 8 8 9 10 10 9 9 8 7 7 8 8 10 12 13 13 12 10 8 8 8 8 8 10 11 11 12 12 11 10 9 9 9 9 10 10 11 12 13 13 12 11 10 9 8 7 6 6 7 7 8 9 10 10 nan
nan 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 9 9 8 6 4 2 1 1 2 4 5 7 9 10 11 12 14 17 20 21 19 16 15 13 11 10 10 12 13 13 13 13 14 14 14 14 13 12 12 11 10 8 7 6 7 7 8 9 11 15 17 19 18 15 13 13 14 16 18 20 22 22 21 21 22 22 22 23 24 25 23 21 18 15 14 12 9 5 1 -2 -4 -4 -1 2 4 5 5 5 5 5 5 6 6 7 9 10 10 9 8 7 7 8 8 7 7 7 7 7 8 9 10 11 9 8 8 8 9 9 10 10 9 7 7 7 7 9 11 12 12 11 9 7 7 7 8 9 10 11 11 12 12 11 10 9 8 9 9 10 10 11 11 12 16 18 20 19 16 13 10 9 8 8 8 8 9 10 10 nan
nan 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 8 4 2 0 0 1 3 5 7 9 11 11 12 13 16 20 21 19 17 15 13 12 11 12 14 14 13 13 13 13 13 13 12 12 12 11 10 9 7 6 6 7 8 10 12 16 19 21 20 18 15 13 12 12 12 14 17 20 22 24 25 26 27 28 28 28 28 26 25 22 21 19 18 17 15 11 7 2 -1 -1 2 5 7 7 7 7 7 7 8 8 9 10 11 11 10 9 9 9 10 10 9 9 8 8 9 9 9 9 9 8 7 7 6 6 6 6 7 7 6 6 6 7 9 10 11 10 9 6 6 6 7 7 9 10 11 12 12 12 11 10 9 9 9 9 10 11 11 10 11 14 17 19 19 16 13 10 9 8 8 8 9 9 10 10 nan
nan 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 11 10 6 1 -2 -3 -2 1 3 6 9 10 11 12 12 13 16 22 23 22 19 16 14 13 13 14 14 14 13 13 12 12 11 11 11 11 11 10 9 8 7 6 7 8 9 9 11 12 14 14 13 12 11 11 11 10 10 10 12 14 16 18 20 21 22 22 22 22 21 22 23 25 26 26 25 26 25 23 20 16 13 11 10 9 10 9 9 9 8 8 8 9 9 8 8 7 8 8 8 9 9 9 10 10 10 9 9 8 7 6 6 7 7 7 6 5 4 4 4 5 6 6 7 8 9 10 10 9 7 6 6 6 7 8 9 9 10 12 12 12 12 11 9 9 10 10 10 11 11 11 11 12 13 13 13 11 10 9 8 8 8 8 9 9 10 10 nan
nan 7 7 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 11 9 3 -2 -4 -4 -2 1 5 8 10 11 12 12 12 13 19 25 27 26 23 16 14 13 13 13 13 12 13 13 13 13 12 12 11 11 11 9 8 7 7 7 8 8 8 8 9 9 9 8 7 6 6 6 7 8 9 9 10 10 11 13 14 14 15 15 14 14 14 15 18 21 23 25 26 27 28 28 27 26 26 24 20 16 13 12 11 10 9 10 9 9 8 6 6 6 7 7 8 9 9 10 11 11 11 10 9 7 5 5 7 8 9 8 8 7 5 4 5 6 8 9 8 9 9 9 10 10 8 7 7 7 7 8 8 8 9 11 11 12 12 11 10 10 10 10 11 11 11 11 11 11 11 12 12 11 9 8 7 7 7 8 9 9 9 9 nan
nan 8 8 9 9 9 8 8 9 10 10 11 11 11 11 11 10 10 10 9 9 6 1 -2 -3 -3 -1 3 7 9 11 12 12 12 13 16 23 29 30 28 22 15 13 12 12 11 11 11 12 13 13 13 12 11 11 10 9 8 7 7 8 8 9 9 8 8 9 9 9 8 5 2 0 0 2 5 7 8 9 10 11 12 12 12 12 12 12 11 12 12 13 14 16 19 20 21 21 22 23 24 24 22 19 16 14 12 12 11 10 10 10 10 9 8 7 8 8 9 10 10 11 12 12 12 12 12 12 11 10 10 11 11 11 11 10 10 9 9 10 11 12 13 12 12 11 11 12 11 11 10 9 7 8 8 8 8 10 11 12 12 12 10 10 10 10 11 11 11 11 11 10 11 12 15 16 15 11 9 8 7 8 8 9 9 9 10 nan
nan 10 10 10 9 9 8 8 9 10 11 11 11 11 11 11 10 9 9 9 8 5 0 -3 -4 -4 0 5 8 10 11 12 12 13 15 20 28 32 32 27 19 14 12 12 11 11 12 13 13 13 12 11 10 10 9 9 8 8 7 8 9 9 8 8 8 9 9 10 10 8 5 1 -2 -3 -2 1 3 6 9 10 11 12 12 12 12 12 12 12 11 11 12 12 13 14 15 14 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 9 8 7 7 7 9 11 11 12 13 14 14 14 14 15 17 17 17 17 16 16 15 14 14 14 14 15 15 15 15 16 15 14 14 14 14 15 13 11 9 9 8 9 10 11 11 11 12 10 10 9 9 10 11 11 11 11 10 10 10 12 16 18 18 15 11 9 8 9 9 9 10 10 10 nan
nan 11 10 10 10 9 9 9 10 10 10 11 11 11 11 11 10 8 8 8 8 4 -1 -4 -6 -3 2 6 8 10 11 12 13 14 18 26 33 34 30 23 16 13 12 12 13 13 13 13 12 11 11 10 9 9 9 9 9 8 9 9 9 9 9 9 9 10 10 10 10 8 5 3 0 -1 -2 -1 1 5 9 11 12 12 12 12 11 12 12 12 12 12 12 12 12 12 11 8 5 1 -0 -0 1 2 3 4 5 5 5 6 7 7 6 4 2 1 -1 -1 -0 1 2 3 5 7 9 12 14 16 16 18 19 20 20 19 19 18 17 17 17 16 15 15 14 15 15 16 15 15 16 17 17 15 13 11 10 9 10 10 10 10 11 10 10 10 10 10 11 11 11 11 11 10 10 10 11 14 17 19 18 14 12 10 9 9 10 10 11 11 nan
nan 10 10 10 9 9 9 10 10 9 9 10 11 11 11 10 9 8 7 8 7 4 1 -2 -3 -1 3 6 8 10 12 12 13 16 22 31 34 30 24 17 13 12 13 13 13 12 11 10 9 9 10 10 9 10 10 9 9 9 9 9 9 8 9 10 11 11 11 11 10 6 5 4 3 3 3 2 3 6 9 11 12 12 12 12 11 11 12 12 12 12 12 11 12 11 9 7 4 1 -1 -3 -3 -3 -3 -4 -5 -5 -5 -4 -3 -3 -4 -5 -6 -8 -8 -9 -8 -8 -9 -9 -9 -5 -1 4 8 11 12 14 15 17 17 17 17 17 16 16 15 15 14 13 13 13 14 14 14 15 16 16 16 15 13 12 10 9 10 10 9 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 11 15 17 19 17 14 11 10 10 10 11 11 12 nan
nan 9 9 9 9 9 9 10 10 9 10 11 11 11 11 10 9 8 7 7 6 6 4 1 -1 1 3 6 8 10 12 13 14 17 24 31 30 24 18 14 12 12 12 12 12 11 9 8 9 10 11 10 10 10 10 9 9 8 8 7 7 7 8 9 10 10 10 10 8 5 4 4 5 7 7 7 7 8 10 12 12 13 13 12 12 11 11 12 12 12 11 11 11 11 12 13 14 14 11 8 4 1 -1 -3 -5 -7 -8 -8 -9 -9 -9 -9 -7 -6 -5 -5 -5 -6 -7 -8 -10 -9 -7 -6 -3 -0 5 9 11 11 12 12 12 13 13 12 12 12 12 12 12 12 12 12 13 14 15 15 15 14 13 11 10 10 10 9 9 10 10 11 11 11 10 10 10 11 11 11 10 10 10 10 9 10 12 15 17 18 15 12 10 10 10 11 12 13 nan
nan 9 9 9 9 9 9 10 10 10 11 12 12 11 10 9 8 8 7 6 7 7 5 2 -0 1 3 5 8 10 12 12 14 18 25 29 25 20 15 12 10 9 10 10 10 10 10 10 11 12 12 10 9 9 9 9 8 6 4 3 3 4 5 7 8 9 9 8 6 4 3 3 6 8 9 9 9 11 12 13 13 13 13 12 12 12 12 11 12 12 11 11 11 13 16 20 23 23 22 20 16 13 10 7 5 4 2 -0 -2 -2 -2 -0 1 4 5 7 6 7 6 5 3 0 -2 -5 -5 -1 5 9 10 10 9 9 10 11 11 10 11 11 10 10 10 9 9 10 12 13 14 15 14 13 12 11 11 10 10 9 9 10 11 12 12 11 11 10 10 11 11 11 11 10 10 10 9 9 10 12 15 16 16 13 11 11 11 12 12 14 nan
nan 10 10 9 9 9 10 10 11 11 12 12 12 11 10 9 8 8 7 7 7 8 6 3 0 0 2 5 8 10 11 12 14 18 24 25 22 18 13 10 9 8 8 9 10 11 11 11 12 12 11 10 9 8 9 8 7 4 0 -2 -3 -2 1 5 7 8 8 8 5 4 3 3 6 8 9 10 12 16 16 16 15 14 13 12 12 12 12 12 12 12 12 12 12 13 15 18 22 24 25 26 24 22 19 17 15 14 14 12 11 11 11 11 12 13 14 15 17 18 18 16 14 11 9 6 7 9 11 12 10 10 10 10 10 11 11 10 10 10 9 9 8 7 7 9 11 12 14 14 14 14 14 13 12 11 10 9 9 9 10 11 12 11 11 10 10 11 11 11 11 10 10 10 10 10 10 10 13 15 16 15 14 14 14 14 14 14 nan
nan 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 8 8 7 8 8 7 5 1 0 2 4 7 9 10 11 13 17 21 22 20 18 15 11 9 9 9 10 11 12 11 11 12 11 11 10 9 9 9 9 8 5 2 -0 -1 -1 1 4 7 8 8 7 5 3 2 3 6 7 8 10 14 17 17 17 16 14 13 13 13 13 13 13 13 13 13 12 12 13 13 14 16 19 22 24 25 26 25 24 23 23 23 23 22 21 20 19 19 20 21 23 25 25 24 21 18 16 15 15 15 15 14 11 9 9 9 10 11 11 11 11 10 9 9 8 8 7 8 9 10 11 13 14 14 15 15 15 12 10 9 9 9 9 9 10 11 11 11 10 9 9 9 10 10 11 11 11 11 11 11 11 12 14 16 18 19 19 18 17 16 15 nan
nan 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 9 9 8 7 3 1 2 4 6 8 10 11 12 15 18 20 21 20 16 12 11 10 10 10 11 11 10 11 11 12 12 11 10 10 11 11 11 10 10 9 8 6 5 5 5 5 4 2 -0 -1 0 3 6 7 9 11 15 16 16 16 15 14 14 13 13 13 13 13 13 13 13 12 12 13 13 12 13 13 15 18 21 24 26 28 29 30 31 31 29 27 26 26 26 27 29 29 29 28 25 21 18 16 15 16 17 17 15 12 11 10 10 11 12 12 12 11 10 10 9 9 8 8 9 10 10 11 12 13 14 16 17 15 12 9 8 8 9 9 10 11 11 11 10 9 8 7 8 9 10 12 13 13 13 13 12 12 12 13 16 19 21 22 19 18 17 17 nan
nan 10 10 9 9 8 9 9 9 9 9 10 10 11 10 10 9 9 9 9 9 9 9 8 4 2 2 3 5 7 9 10 11 13 15 18 21 20 15 13 11 10 9 10 10 10 10 11 11 11 11 11 11 11 11 12 12 14 16 17 15 12 8 4 1 -1 -3 -5 -5 -3 1 4 7 8 9 12 15 16 16 15 14 14 14 14 13 13 13 13 13 13 12 12 12 13 13 12 11 11 11 13 16 18 21 24 27 28 29 29 28 27 26 26 27 29 29 28 26 24 20 17 16 16 17 19 21 23 22 18 15 13 13 13 14 13 12 11 10 10 10 9 9 10 10 10 10 11 12 13 14 17 17 15 12 8 6 7 9 10 11 11 11 11 10 9 8 7 7 9 11 12 14 15 14 14 14 13 12 12 14 16 17 16 15 16 17 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
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 3 3 3 3 3 2 1 0 0 0 0 1 2 3 3 3 3 2 3 3 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 1 2 4 5 6 9 10 10 10 14 20 19 19 21 23 23 24 25 29 34 37 37 36 35 37 42 45 48 51 54 56 59 62 63 63 63 63 63 63 60 58 57 59 59 58 58 57 55 54 57 62 69 74 74 71 68 66 66 66 73 83 87 87 84 78 71 66 78 97 101 92 81 73 67 62 54 56 59 59 56 52 50 50 54 57 61 72 75 66 64 67 68 66 61
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 3 2 1 1 0 0 0 0 0 0 0 1 2 2 3 2 3 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 2 2 4 6 6 8 10 12 12 13 21 22 23 24 25 26 27 27 32 35 37 37 35 34 35 41 44 46 49 52 55 58 61 63 65 66 66 67 69 71 71 71 71 70 69 68 67 65 60 53 60 67 73 77 77 73 71 70 71 74 80 84 88 90 86 79 73 76 84 89 87 80 73 71 66 60 59 61 62 61 56 53 49 48 54 58 64 70 67 70 78 78 73 65
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 1 2 1 0 0 0 0 0 0 0 0 0 1 1 2 3 4 3 4 4 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 3 4 5 7 8 9 12 12 13 18 22 23 23 24 25 27 27 30 33 36 36 35 34 34 37 39 41 44 47 50 53 57 60 64 66 66 68 71 76 80 82 81 80 80 79 79 78 75 69 68 71 75 80 81 80 77 75 74 75 78 83 86 89 89 85 80 79 82 86 86 81 72 72 69 65 63 64 66 66 63 59 53 46 46 50 53 58 58 64 72 74 70 62
2 2 2 2 2 1 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 1 1 2 2 3 4 5 4 5 5 4 4 3 2 1 0 0 0 1 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 1 2 1 2 3 3 3 4 5 6 7 10 11 11 14 18 20 21 22 22 24 26 28 30 33 36 35 34 34 33 33 35 37 41 43 47 50 52 57 60 63 65 68 73 80 86 88 88 88 87 85 86 85 82 78 77 79 82 84 86 85 83 80 79 80 85 87 89 89 88 87 87 89 89 87 83 77 75 72 69 67 67 69 68 67 65 61 54 48 47 50 54 53 56 60 63 62 57
5 7 6 4 3 2 1 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 1 2 3 4 5 7 5 5 5 5 5 4 3 2 1 1 2 3 2 2 1 0 0 1 1 2 3 2 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 1 2 1 2 2 2 3 4 4 5 5 7 8 9 10 13 15 17 18 19 20 22 24 26 28 31 32 32 33 32 32 32 32 34 36 38 40 43 47 52 55 59 63 66 72 78 83 87 90 91 88 88 87 86 85 83 82 84 86 88 89 89 88 87 87 89 90 91 90 89 90 92 95 96 92 88 83 79 76 75 73 73 74 74 74 72 69 63 56 52 52 54 55 55 55 56 55 54
6 9 8 6 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 2 2 2 2 1 1 1 1 3 5 6 6 7 6 6 7 7 7 7 7 5 6 7 7 7 6 5 4 3 3 4 4 4 3 2 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 1 1 1 1 1 1 1 2 2 2 2 4 6 6 7 8 10 12 14 15 16 17 18 21 23 25 26 26 26 27 28 29 29 31 31 31 31 33 36 41 45 50 56 59 63 67 73 78 85 89 90 91 89 85 84 84 83 84 86 88 89 89 90 92 94 95 95 94 92 91 91 93 96 98 98 96 93 89 83 81 79 78 78 79 81 80 77 71 65 60 58 58 58 58 58 59 56 55
7 9 8 6 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 4 4 4 3 3 3 5 6 7 7 8 9 9 10 11 11 11 11 9 9 9 9 10 9 8 7 6 5 5 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 2 3 4 5 6 7 7 9 12 13 13 14 16 18 20 21 21 21 21 22 23 26 28 28 27 28 29 32 34 39 44 50 55 59 62 63 72 79 85 90 92 90 87 85 84 84 85 87 87 87 88 91 95 98 99 99 97 95 93 94 96 99 100 101 100 97 94 91 89 85 82 81 82 82 81 77 71 66 63 62 60 59 61 61 60 59
7 9 8 5 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 6 5 5 5 5 6 6 6 6 8 9 11 13 13 13 13 13 13 12 12 11 11 12 12 11 9 7 5 5 5 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 4 6 7 9 9 9 10 11 12 13 15 16 18 18 17 19 21 23 25 25 26 27 28 30 34 38 44 50 53 56 61 66 73 82 88 91 92 89 87 87 90 92 92 90 91 93 96 97 98 100 101 100 98 98 100 102 104 104 103 102 101 99 98 96 91 87 86 82 81 78 75 71 68 67 64 63 63 63 63 62
6 7 6 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 4 6 7 7 7 6 6 7 7 6 6 8 9 11 13 14 12 12 12 13 14 14 15 15 13 10 8 6 4 3 4 4 3 2 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 1 2 2 2 4 5 5 5 6 6 7 8 10 11 12 12 13 15 18 21 22 23 24 25 27 28 30 33 37 42 48 53 56 61 68 75 82 86 87 87 89 93 99 104 104 104 104 103 102 104 106 105 105 103 102 102 102 101 103 105 105 103 102 102 100 96 95 94 91 88 84 79 74 72 71 69 68 66 66 65 64
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