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 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 8 7 6 6 6 7 8 9 9 9 9 9 9 8 9 9 9 9 8 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 10 13 13 14 13 13 12 11 12 13 13 12 9 8 7 7 7 7 7 8 8 9 9 9 8 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 6 5 5 5 5 6 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 11 12 13 15 16 18 18 18 17 16 15 14 13 12 12 12 12 12 nan
nan 8 9 10 10 11 11 10 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 9 9 10 10 10 9 9 8 8 9 9 9 8 9 9 10 10 10 10 10 10 11 11 10 10 10 9 9 9 8 7 6 7 10 12 13 13 13 13 12 13 14 14 12 9 7 7 7 7 7 7 7 7 8 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 7 6 5 4 4 5 5 6 7 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 12 12 13 15 16 17 17 17 17 16 15 15 14 13 13 12 12 nan
nan 8 9 10 11 11 11 10 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 10 9 9 8 8 9 9 9 9 9 9 10 10 10 10 10 11 12 12 11 10 9 8 8 7 6 6 8 10 12 13 13 13 13 13 14 14 10 6 5 6 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 10 10 9 9 9 9 9 9 9 8 6 5 5 5 6 6 6 7 7 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 12 12 12 12 12 12 13 13 14 14 15 16 16 16 16 16 15 14 13 12 12 nan
nan 8 9 10 11 11 11 10 8 8 8 9 10 10 10 9 8 9 9 9 9 9 9 9 9 8 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 9 9 10 10 10 9 9 8 9 9 10 10 10 11 12 13 12 11 9 8 8 8 7 7 8 10 11 12 12 12 13 13 13 11 5 2 4 7 9 9 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 10 10 10 11 10 9 8 7 6 6 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 8 9 9 10 10 11 11 11 11 12 12 12 12 12 13 13 13 14 15 15 15 14 13 12 11 nan
nan 8 9 9 10 11 11 10 8 8 9 9 10 9 9 9 9 9 8 8 8 9 9 9 9 8 8 9 10 10 10 10 11 10 10 10 9 9 10 11 12 12 11 10 10 10 10 10 10 10 8 7 8 8 9 8 9 9 11 12 12 11 10 9 8 8 8 7 8 9 10 11 11 11 11 12 11 7 3 2 5 8 10 10 8 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 10 10 10 11 11 10 10 9 8 7 6 5 5 5 5 5 4 4 4 4 4 5 5 5 6 6 7 7 8 8 8 9 9 9 9 10 10 10 10 10 10 11 11 12 13 13 13 12 12 12 nan
nan 9 9 9 9 10 10 9 9 9 10 10 10 9 9 9 10 9 9 8 8 8 9 9 9 9 8 9 9 10 10 10 11 11 10 10 9 9 10 12 12 12 12 10 10 10 10 11 11 10 8 7 7 8 8 8 8 9 10 10 11 11 11 10 9 8 8 7 7 8 8 9 10 10 9 9 8 6 4 4 6 9 10 10 9 8 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 10 10 10 10 10 10 9 9 8 7 6 6 6 5 4 4 4 4 4 4 5 5 5 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 10 10 11 11 11 12 12 nan
nan 9 8 8 9 9 9 9 9 9 10 11 11 10 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 12 12 13 13 12 10 9 8 9 9 10 11 9 8 8 8 8 9 9 9 9 9 10 11 11 11 10 9 9 9 9 9 8 8 8 8 8 8 7 7 6 6 6 7 9 10 10 11 11 10 8 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 10 10 10 10 9 9 9 8 8 8 7 7 6 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 11 11 nan
nan 9 8 9 9 8 8 9 9 9 10 11 11 10 9 8 9 10 10 11 11 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 12 14 14 14 14 12 9 7 7 7 8 9 10 9 9 9 9 9 9 9 9 8 8 9 10 10 10 10 10 9 10 10 9 9 8 8 8 8 8 7 7 7 7 7 8 9 9 11 12 14 13 10 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 8 8 7 7 7 7 7 7 8 8 8 7 7 7 7 7 8 9 10 11 nan
nan 8 8 9 9 9 9 9 9 9 10 11 11 10 9 8 9 10 10 11 11 12 12 11 11 10 9 9 9 9 10 10 9 9 9 10 12 13 14 15 14 12 9 8 7 7 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 12 14 14 12 9 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 8 9 9 9 10 10 10 10 10 11 11 11 10 9 8 8 8 8 8 8 8 9 8 8 8 8 9 9 9 8 8 8 8 8 8 9 10 10 nan
nan 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 11 13 14 14 14 12 11 9 9 9 9 9 9 9 9 9 11 12 13 14 14 12 11 10 8 8 8 9 8 8 8 9 9 9 9 9 10 10 9 8 8 8 9 11 11 11 10 10 9 9 9 9 9 9 10 11 11 10 9 9 10 10 10 10 11 13 15 14 11 8 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 10 10 11 11 10 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 nan
nan 8 9 9 9 9 9 9 9 9 9 8 8 9 10 10 10 9 7 7 10 13 15 17 16 15 13 11 10 10 10 10 10 9 9 9 10 11 13 14 14 14 13 12 10 9 9 8 8 8 8 8 8 7 7 8 10 11 10 9 8 8 9 11 11 11 11 10 9 9 9 9 9 9 10 11 11 10 10 10 11 11 11 10 11 12 15 16 14 10 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 8 8 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 11 11 11 10 10 10 9 9 9 nan
nan 8 9 9 9 9 9 9 9 9 8 8 8 10 11 11 11 9 7 6 8 11 13 15 16 16 14 13 12 11 10 10 10 11 10 9 9 11 12 14 14 14 14 12 10 9 9 8 7 7 8 8 7 6 5 7 9 11 11 10 9 8 9 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 11 14 17 16 12 8 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 11 11 12 12 11 11 11 11 11 11 11 11 11 10 9 9 8 nan
nan 8 9 9 9 9 9 9 9 8 7 7 8 9 11 11 11 9 8 7 7 8 10 11 13 14 14 13 12 11 10 9 10 10 10 10 9 9 10 13 15 14 13 11 10 10 9 8 7 7 8 8 8 7 6 7 9 10 11 11 10 9 9 9 9 10 10 9 9 9 9 9 8 8 8 8 8 9 10 10 11 11 10 9 9 11 13 16 17 14 11 8 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 7 7 8 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 11 10 10 9 9 nan
nan 8 9 9 9 9 9 9 8 8 8 8 8 9 10 10 10 10 9 8 7 7 7 8 10 12 13 13 12 10 9 8 8 8 8 8 8 8 9 11 13 14 12 9 9 10 9 8 8 8 8 8 8 8 8 8 8 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 10 10 9 9 10 9 9 9 10 12 15 18 18 15 10 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 7 8 8 8 9 9 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 11 11 11 10 10 nan
nan 8 8 9 9 9 8 8 8 9 9 9 9 9 10 10 11 11 9 8 7 8 7 8 9 10 12 13 12 10 9 8 7 7 7 8 8 8 8 9 11 11 11 9 9 10 10 10 10 9 8 8 8 8 8 8 9 9 9 9 8 8 9 9 8 8 8 7 7 7 7 7 7 6 7 8 9 9 9 8 8 8 8 9 9 10 13 16 20 21 17 11 8 6 6 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 nan
nan 8 8 8 8 8 8 8 9 9 10 10 10 11 11 12 12 10 8 7 8 9 9 8 8 8 9 11 11 11 10 8 7 7 8 9 9 8 8 8 9 9 9 9 10 10 11 12 11 9 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 9 8 7 7 6 6 7 7 7 7 8 9 9 9 9 8 8 8 8 9 11 14 17 21 21 16 11 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 9 9 9 10 10 10 10 10 10 10 9 9 10 9 9 8 8 9 9 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 nan
nan 8 8 8 8 8 8 8 9 9 9 10 11 11 11 12 11 9 8 8 9 10 10 9 8 7 7 9 11 11 10 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 11 12 11 10 9 8 8 8 8 8 9 9 9 8 8 8 8 9 10 10 9 8 7 7 7 8 8 8 8 8 8 8 8 9 9 8 9 9 11 12 13 15 17 16 13 10 8 8 8 8 8 8 8 9 9 8 8 8 7 7 6 7 7 7 7 7 7 7 7 8 9 9 10 10 9 9 9 9 9 9 9 9 10 11 11 11 10 9 8 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 11 11 12 12 12 13 13 13 13 12 nan
nan 8 8 8 8 8 8 8 9 9 9 10 11 11 11 10 9 9 8 9 9 10 10 10 8 7 7 8 10 11 11 10 10 9 9 10 10 10 10 10 9 9 9 9 9 10 10 11 11 10 10 10 9 9 9 9 9 9 9 8 8 7 7 8 10 11 11 10 9 9 9 10 10 11 10 9 8 8 8 8 8 9 10 11 11 11 11 11 11 10 9 8 7 8 9 10 9 9 10 11 11 10 9 7 6 6 6 7 7 7 6 6 6 6 7 8 8 9 9 9 9 9 9 9 8 7 7 7 8 10 12 11 11 9 7 6 7 7 8 8 8 8 9 9 9 8 8 8 8 9 9 10 10 10 11 11 12 12 12 12 13 nan
nan 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 9 9 10 10 10 10 11 10 10 9 9 9 10 11 11 11 11 10 10 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 11 11 10 9 9 9 9 9 9 9 8 7 7 8 10 10 10 10 10 10 11 11 12 13 12 12 11 10 9 9 9 9 10 11 11 11 11 10 9 9 8 7 8 9 10 10 10 10 11 13 14 14 13 10 8 7 7 7 7 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 10 10 10 10 9 8 7 7 7 6 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 10 10 11 11 12 12 nan
nan 8 8 8 8 8 8 9 9 9 9 10 10 11 11 11 11 11 11 11 12 12 11 11 10 10 10 10 11 11 11 11 11 10 10 11 11 10 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 9 8 8 8 9 10 9 8 7 6 7 8 9 9 10 10 10 11 12 12 12 12 12 12 12 12 11 10 10 10 10 11 12 11 10 10 10 9 9 9 10 11 11 11 10 11 13 16 18 18 15 12 11 10 10 8 7 6 7 7 7 7 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 6 5 5 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 10 11 11 nan
nan 8 9 9 9 9 9 9 9 9 10 11 11 12 12 12 11 11 11 12 12 12 12 11 11 11 10 10 10 10 10 9 9 9 10 10 10 9 9 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 7 5 4 5 7 8 9 9 9 10 10 11 11 11 11 12 12 12 12 12 11 10 10 10 11 12 12 11 10 10 10 11 11 11 11 11 11 10 10 11 15 18 18 16 14 13 14 13 11 9 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 10 10 10 9 9 7 7 7 6 5 5 5 5 6 7 7 7 7 8 7 7 8 8 8 8 8 8 8 7 8 8 9 10 10 nan
nan 9 9 9 9 9 9 9 9 10 11 12 13 13 12 11 10 11 12 12 12 12 11 11 11 11 11 11 10 10 9 7 7 8 9 9 9 9 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 8 7 5 4 4 5 7 8 9 9 9 9 10 10 11 11 11 11 12 12 11 11 11 11 10 9 9 10 11 11 10 10 11 11 11 11 11 11 10 9 9 9 12 14 14 11 10 12 14 14 13 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 11 12 11 10 8 6 6 6 6 5 5 5 5 6 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 nan
nan 9 9 9 9 9 9 9 9 10 12 13 13 13 11 10 9 10 11 12 12 11 10 10 10 10 10 11 11 10 8 7 7 8 9 9 10 9 9 8 8 8 8 8 8 7 7 8 8 8 8 8 9 9 9 9 8 8 7 7 6 5 5 6 8 10 10 10 10 10 10 11 10 10 10 10 10 11 11 11 11 11 11 9 8 8 9 9 10 11 11 10 10 11 11 11 11 10 9 10 11 12 11 9 9 11 13 14 14 13 12 11 10 9 9 8 8 9 9 10 10 9 7 6 6 8 9 11 12 12 11 9 7 7 6 6 5 5 5 5 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 nan
nan 9 9 9 9 9 9 10 10 11 12 12 12 11 9 8 8 9 10 11 12 11 10 10 10 9 9 9 10 10 9 8 8 9 10 10 10 10 10 9 9 9 8 8 9 9 8 8 8 8 8 8 9 10 9 9 8 8 8 8 7 7 8 9 10 11 11 11 11 11 12 12 11 10 9 9 9 9 9 10 10 11 11 10 8 7 7 8 9 10 10 10 9 9 10 10 10 10 10 10 11 11 11 11 12 14 15 15 16 16 15 14 13 12 10 9 8 8 10 12 13 12 10 7 6 7 9 10 11 12 12 11 10 8 7 6 5 5 5 5 6 7 7 7 7 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 8 nan
nan 9 9 9 9 10 10 11 11 11 11 10 9 8 6 6 6 7 8 9 10 10 11 10 10 8 7 8 8 9 10 10 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 9 8 8 8 8 9 10 9 8 8 8 9 9 9 9 9 10 10 11 11 11 11 12 12 12 12 10 9 8 8 8 9 9 10 10 10 10 10 9 8 8 9 10 10 9 9 9 8 8 9 10 10 10 10 10 11 11 12 14 15 16 16 17 18 19 18 16 14 12 10 8 8 11 14 16 15 13 11 9 9 10 10 11 12 12 10 9 7 7 6 5 5 5 6 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 8 7 7 7 8 nan
nan 9 9 10 10 11 11 12 12 11 9 7 6 5 4 4 5 6 7 8 8 9 10 10 10 9 7 7 7 8 10 12 13 13 13 13 12 12 12 12 11 11 12 12 12 12 11 10 9 8 7 8 9 9 9 9 9 9 9 10 10 9 9 9 10 10 10 10 10 11 11 11 10 9 9 9 8 9 9 9 9 9 9 10 11 11 11 10 9 9 9 9 9 9 8 8 9 9 10 10 10 9 9 10 10 11 12 12 13 15 17 19 19 18 17 17 15 11 9 10 14 17 18 18 16 14 12 10 10 11 11 10 9 8 7 7 7 6 6 6 6 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 nan
nan 9 9 9 10 11 12 12 11 9 7 5 3 3 4 4 5 6 6 7 7 7 8 9 9 9 7 6 6 7 9 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 11 9 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 11 10 9 9 9 9 11 12 13 12 10 9 9 9 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 11 13 15 15 16 16 17 17 15 12 11 12 15 17 18 18 17 14 11 10 9 9 9 8 8 7 7 7 7 6 6 6 7 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 nan
nan 10 9 9 9 10 11 10 9 6 4 3 2 3 3 4 5 6 7 7 7 6 6 7 7 7 6 6 6 6 8 10 10 11 11 12 12 12 13 13 13 13 13 13 13 13 12 12 10 9 9 8 8 8 9 9 9 10 10 11 10 9 9 8 8 8 9 9 10 10 10 9 9 9 9 9 10 11 11 10 9 9 9 10 11 13 14 12 11 10 10 10 10 10 10 10 10 11 11 11 11 10 9 9 8 8 9 9 9 10 11 11 11 12 13 14 15 15 13 12 12 12 12 13 15 16 14 12 9 8 8 8 7 7 7 7 7 7 7 7 7 8 9 9 10 10 10 10 10 10 10 9 9 9 9 8 8 8 7 7 7 nan
nan 10 10 9 9 10 10 10 8 5 4 4 4 4 5 5 5 6 7 7 6 6 6 6 6 6 6 5 5 6 7 8 8 8 9 10 11 12 12 12 12 12 12 12 12 12 12 12 11 11 10 9 8 8 8 8 8 8 9 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 10 12 14 13 12 11 10 9 10 10 10 10 10 10 11 11 11 11 10 10 9 8 8 9 9 10 10 10 10 10 10 10 11 12 12 13 14 14 13 12 12 14 15 14 11 9 9 8 8 7 7 7 7 7 7 7 7 8 8 9 10 10 10 10 10 10 9 9 9 9 8 8 7 7 6 6 6 6 nan
nan 11 10 9 9 10 10 10 9 8 7 7 8 9 9 8 8 8 7 7 6 6 5 6 6 6 6 6 5 6 6 6 5 6 7 8 10 12 12 12 11 11 11 11 11 11 12 12 12 11 10 9 8 7 7 7 7 8 9 10 11 11 11 10 10 10 10 11 10 9 9 9 9 9 9 10 10 10 10 9 8 8 9 10 13 13 12 11 10 9 8 8 9 9 10 10 10 10 11 12 11 11 10 9 8 9 9 9 10 10 11 10 10 9 9 9 10 11 14 17 19 20 18 16 16 16 15 12 10 9 9 8 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 6 5 6 6 nan
nan 11 10 9 9 10 10 11 11 10 11 11 11 12 13 13 12 12 10 8 7 6 5 5 6 6 6 6 6 5 5 5 4 4 5 6 8 10 10 9 9 9 10 11 11 11 12 12 11 10 9 8 7 7 7 8 9 10 11 11 11 11 11 10 10 10 11 11 10 9 8 8 9 10 10 10 10 10 9 8 8 8 8 10 11 11 11 11 10 9 8 7 8 9 10 10 10 11 11 11 11 11 10 9 8 9 9 9 10 10 10 11 10 9 8 8 9 11 16 19 21 21 20 19 18 17 16 14 11 10 9 8 7 7 7 7 7 8 7 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 7 7 6 6 7 7 nan
nan 11 10 9 9 9 10 10 11 11 12 11 11 12 13 15 16 15 13 11 9 7 5 5 6 6 6 6 5 5 5 5 4 4 4 5 6 7 6 6 5 6 8 10 10 11 11 11 10 9 8 8 8 7 8 9 10 11 13 13 12 12 11 10 10 11 12 12 11 10 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 10 11 11 11 10 8 8 9 10 10 11 11 11 11 11 10 9 9 9 9 9 9 10 10 10 11 10 10 9 8 9 12 16 18 19 18 16 16 16 16 16 14 12 10 8 7 7 7 7 8 8 8 7 8 8 8 9 9 9 9 8 8 8 7 7 6 7 7 7 7 7 6 6 7 8 nan
nan 10 10 10 9 9 9 10 10 11 11 11 11 11 12 13 14 15 15 14 13 10 7 6 6 6 6 6 5 5 5 4 4 4 5 5 5 5 4 3 2 2 4 6 8 9 10 10 10 9 8 8 8 8 8 8 9 10 11 12 12 12 12 12 12 12 13 13 12 11 9 8 8 9 8 8 8 9 9 10 10 9 8 7 7 7 8 10 11 12 11 10 9 10 10 10 11 11 11 10 10 10 9 9 9 8 9 9 10 10 11 11 11 11 10 11 12 14 15 16 15 13 12 11 12 13 13 13 12 10 8 7 7 7 8 8 8 8 8 8 8 9 9 9 8 8 7 7 6 5 5 5 6 7 7 7 7 7 7 8 8 nan
nan 10 10 10 9 9 9 9 10 11 11 11 11 11 11 10 11 13 14 15 16 15 12 10 8 7 6 6 5 5 4 4 4 5 6 6 6 6 5 3 1 1 1 2 4 7 9 11 10 10 9 8 8 7 6 6 7 8 9 10 11 12 12 13 13 13 14 14 13 13 11 10 10 10 10 9 9 10 11 12 12 11 10 9 7 7 8 9 10 12 11 10 9 9 10 10 11 10 10 10 10 10 10 9 9 8 9 9 10 11 11 11 12 12 12 13 15 15 15 14 11 10 9 8 9 9 10 11 11 10 9 8 7 7 8 8 8 8 8 8 8 8 8 7 7 6 6 5 4 4 5 6 7 8 8 8 7 7 8 9 10 nan
nan 10 10 9 9 9 9 9 10 11 11 12 11 10 9 9 9 10 11 13 15 16 16 14 12 10 8 7 7 6 6 6 7 8 8 8 8 8 7 5 3 1 0 -0 1 4 8 10 11 11 10 9 8 6 6 6 7 8 9 10 10 10 11 12 13 14 14 15 15 15 15 15 14 13 13 12 11 12 13 13 13 12 11 10 9 8 7 8 9 10 9 9 8 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 12 12 12 13 14 15 16 16 14 11 9 7 6 7 7 8 8 9 9 9 9 8 8 7 8 8 8 8 8 7 7 6 5 5 5 5 5 6 7 8 9 9 10 9 8 7 8 8 9 10 nan
nan 9 9 9 9 9 9 9 10 10 11 10 10 9 9 8 9 9 10 11 13 14 15 15 15 13 11 11 11 10 10 10 12 13 13 12 11 10 9 8 6 4 2 0 0 3 6 9 10 11 9 8 7 6 5 6 8 9 9 9 9 9 10 11 12 14 14 15 16 16 17 17 15 14 12 12 12 12 13 13 13 13 11 10 9 8 7 7 7 7 8 8 9 10 10 11 10 10 9 10 10 10 11 10 9 9 9 9 10 11 11 12 12 12 12 12 14 16 18 17 14 9 6 5 5 6 6 7 8 9 9 9 8 8 8 7 8 8 8 7 6 5 4 4 5 5 6 7 8 9 10 10 11 11 10 9 8 8 9 10 10 nan
nan 9 9 9 9 9 9 10 10 10 10 9 8 8 9 9 9 9 10 10 11 11 12 12 13 13 12 12 12 12 12 12 14 16 17 16 14 13 12 10 9 8 6 4 4 5 7 8 9 9 9 8 7 6 5 6 7 8 9 9 9 9 10 11 12 14 14 15 15 15 15 15 14 12 10 10 11 12 12 12 11 11 10 9 8 7 7 6 6 6 7 9 10 11 11 11 10 9 9 9 9 11 11 10 10 9 9 10 10 11 11 12 12 12 11 11 13 17 19 19 16 11 7 5 5 5 6 6 7 8 8 9 9 9 8 8 8 8 7 7 6 5 5 6 6 7 8 9 9 9 10 10 10 10 10 9 9 9 9 10 10 nan
nan 10 9 9 9 8 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 11 11 13 14 16 17 17 16 14 13 13 12 11 10 9 9 8 8 9 9 8 8 7 6 6 6 7 8 10 11 11 11 10 10 11 13 13 14 13 13 12 12 11 10 10 9 9 10 9 9 8 8 8 8 8 8 8 7 7 7 9 10 11 11 11 10 9 9 9 9 10 10 11 10 10 9 9 10 10 10 10 11 11 11 10 11 14 18 20 20 16 12 9 7 6 6 6 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 10 10 9 10 11 11 11 nan
nan 10 10 9 9 9 9 9 9 10 10 10 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 12 14 15 15 15 14 14 15 15 14 12 11 9 9 9 9 8 8 7 7 7 7 9 11 12 13 13 11 10 10 10 11 11 11 11 11 11 10 10 9 9 8 7 7 7 7 7 8 9 10 10 11 11 11 10 10 11 11 11 10 10 9 9 9 9 9 10 10 10 11 10 9 9 10 10 10 10 10 10 10 10 11 14 17 20 19 16 13 11 9 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 11 11 10 9 8 8 8 7 7 8 8 9 9 9 9 10 12 12 12 nan
nan 10 10 10 10 10 9 9 9 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 11 11 10 10 10 11 12 13 13 13 13 13 13 13 11 10 10 9 10 9 9 9 9 9 9 10 11 13 14 13 12 11 9 9 9 9 9 9 9 10 10 9 9 8 8 8 7 7 7 8 8 10 11 12 12 13 13 13 12 12 11 12 11 10 9 8 8 8 8 9 10 10 10 10 9 9 9 10 10 10 10 10 9 10 10 11 13 16 19 19 17 15 12 10 10 10 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 8 8 8 8 7 8 8 9 9 9 9 8 9 10 10 10 nan
nan 9 9 9 10 10 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 10 10 10 9 9 9 10 11 11 12 12 11 10 9 9 9 9 10 10 10 10 11 11 11 12 12 13 13 13 12 10 9 8 8 8 7 7 8 8 9 10 9 9 9 9 10 10 10 10 10 10 11 12 12 12 12 13 13 12 11 11 11 11 9 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 11 12 15 18 19 18 16 13 11 11 10 10 9 9 9 8 8 8 8 8 7 8 8 9 9 8 8 7 7 6 6 7 7 7 8 8 9 9 9 9 8 7 7 7 8 8 nan
nan 9 9 8 9 9 9 10 10 10 10 10 10 11 12 13 13 12 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 10 11 12 12 13 12 9 8 8 8 10 11 12 12 13 13 13 13 13 13 12 11 9 8 7 6 6 6 6 6 6 6 7 9 9 10 10 10 11 12 12 13 12 11 10 10 11 11 11 12 12 11 11 11 12 12 11 10 9 8 8 8 8 8 8 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 13 16 18 20 18 14 12 11 11 11 10 10 9 9 8 8 8 7 7 7 7 7 7 7 6 6 5 5 5 6 7 7 8 8 9 9 9 9 8 7 7 8 9 9 nan
nan 10 9 9 9 9 9 10 10 10 10 10 11 12 12 13 13 12 11 10 10 10 10 10 10 10 10 11 11 10 9 9 8 8 9 9 10 12 13 14 15 15 13 12 11 11 12 13 14 14 14 13 12 11 11 10 9 7 6 4 4 4 4 4 5 5 5 5 5 7 9 10 11 12 13 14 14 13 12 11 10 10 10 10 11 11 11 11 11 12 12 12 12 11 10 9 8 8 8 7 8 9 9 10 11 10 10 9 9 9 9 9 10 10 10 10 11 11 13 16 19 19 16 14 12 11 11 11 10 9 9 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 7 8 8 9 9 9 9 9 8 8 9 10 10 11 nan
nan 12 11 10 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 11 11 11 10 9 9 9 10 10 11 12 13 15 16 16 15 14 14 13 13 13 12 11 10 9 7 6 6 5 4 3 3 3 3 3 4 5 5 5 4 4 6 7 9 10 12 14 14 13 12 11 10 10 10 9 10 10 10 10 11 11 12 12 13 12 12 11 10 10 9 8 8 8 9 10 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 11 15 18 19 18 16 13 12 11 10 10 9 8 8 8 8 8 7 7 7 6 6 6 6 6 7 7 7 7 8 9 9 9 9 9 9 9 10 10 11 12 12 13 nan
nan 15 15 13 12 10 10 9 10 10 10 10 11 10 9 9 10 10 10 10 9 8 8 9 9 9 9 10 11 11 11 11 10 10 9 10 10 10 11 11 12 13 13 13 13 13 12 10 9 7 6 5 5 4 3 3 2 2 2 2 3 3 4 4 5 5 4 4 4 5 6 7 8 10 12 12 12 11 10 10 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 12 11 10 9 8 8 9 10 11 11 10 10 9 9 9 10 10 10 10 10 10 10 11 11 13 16 18 20 18 15 13 11 11 10 9 8 8 8 8 8 7 7 7 7 7 6 7 7 8 9 9 10 10 10 10 9 9 10 10 10 10 11 12 13 15 16 nan
nan 20 20 18 16 14 12 11 11 11 11 11 11 11 11 10 10 11 10 9 6 6 7 8 8 8 9 10 10 11 11 11 10 10 10 10 11 11 12 12 11 10 10 9 9 8 8 6 5 4 4 4 4 3 3 2 2 2 2 2 4 5 6 6 5 5 5 4 4 4 5 5 6 7 9 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 10 11 12 13 14 12 11 9 8 8 9 10 11 11 10 9 9 9 10 10 10 11 11 11 12 12 12 12 13 15 17 19 18 16 14 13 13 11 10 9 8 8 8 8 8 8 8 7 7 7 8 9 9 10 11 11 11 11 10 10 11 11 11 10 10 11 11 13 15 16 nan
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nan 12 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 11 10 10 10 10 10 10 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 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 11 11 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 9 10 9 9 9 9 9 8 7 7 7 7 8 10 11 11 12 13 14 15 17 18 20 21 22 22 22 20 18 15 12 8 5 4 3 3 2 1 -0 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 4 18 46 90 157 210 224 219 209 204 201 182 160 136 112 88 69 79 100 124 145 171 207 230 259 308 363 359 287 198 128 96 106 129 135 114 86 67 61 52 51 57 68 82 102 108 101 86 72 65 65 56 52 54 59 67 71 74 72 66 55 37 22 12 7 9 22 51 90 100 95 86 75 49 22 7 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 2 2 1 0 2 5 7 6 6 22 39 54 68 77 74 92 117 140 163 195 235 312 374 384 393 435 455 485 507 534 569 613 640 669 712 768 804 831 845 901 999 1101 1206 1311 1463 1591 1670 1707 1638 1557 1507 1465 1390 1377 1460 1468 1416 1369 1375 1365 1412
0 0 0 1 4 13 31 79 132 172 196 207 205 196 173 145 116 86 62 51 54 67 87 110 148 171 197 229 259 280 325 355 353 313 245 190 197 181 138 94 73 60 58 60 70 86 99 117 121 114 100 87 82 80 73 66 61 58 64 77 76 80 85 74 54 29 14 11 20 44 61 65 61 64 76 88 64 31 8 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 1 1 2 2 1 1 2 6 10 13 16 16 22 28 35 43 63 87 106 111 110 137 156 163 173 192 217 230 249 275 299 320 371 445 496 535 588 665 776 909 1029 1171 1339 1508 1625 1605 1589 1602 1618 1515 1546 1577 1543 1462 1442 1381 1352 1357
0 0 0 0 1 5 12 32 63 101 144 187 201 195 172 138 102 66 58 46 40 42 55 73 102 126 169 225 279 331 368 417 470 491 424 260 216 190 166 141 105 67 54 51 61 85 105 120 124 117 107 103 100 96 93 86 73 60 80 105 110 120 139 119 93 43 11 12 30 57 54 33 24 36 58 63 41 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 1 1 2 2 2 2 1 1 2 2 2 3 3 4 6 7 6 11 15 24 36 29 34 38 36 33 40 51 56 55 64 87 106 143 207 271 334 396 470 554 659 769 881 1032 1184 1316 1411 1480 1528 1576 1619 1630 1611 1558 1443 1450 1464 1462 1435
3 1 1 1 1 2 5 11 22 40 71 124 165 190 189 164 125 90 67 50 43 44 48 49 69 101 143 185 224 272 319 392 479 533 454 281 215 196 187 180 143 90 62 48 46 62 92 113 117 109 102 100 100 102 105 100 79 58 58 97 137 149 165 168 130 63 10 5 11 29 29 18 12 23 34 29 14 2 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 2 2 2 1 1 1 1 1 1 2 2 2 3 3 4 5 6 8 9 5 5 5 4 3 2 4 5 3 4 14 25 51 87 135 192 262 349 424 501 590 690 778 891 1024 1155 1291 1343 1408 1475 1514 1527 1505 1468 1496 1536 1538 1481
12 11 8 5 2 0 1 4 7 14 25 57 102 165 212 213 169 127 88 60 47 45 48 47 65 93 122 147 161 218 272 333 407 490 466 408 325 233 173 163 131 108 84 58 37 44 83 112 123 116 100 89 94 101 100 86 64 45 28 59 112 120 133 139 108 60 39 25 14 23 21 8 6 11 15 9 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 2 1 1 1 1 1 1 1 1 2 2 2 1 1 2 3 4 5 5 5 3 2 1 1 1 1 0 0 0 0 1 2 4 11 27 50 73 122 190 261 330 396 484 574 671 766 883 1013 1094 1166 1231 1288 1329 1352 1389 1452 1502 1476 1418
21 20 19 14 8 2 1 1 2 6 10 20 46 108 188 232 208 166 118 75 46 39 50 75 117 143 128 144 148 177 213 251 296 399 462 443 364 277 223 244 194 141 104 75 46 54 89 120 133 126 102 87 86 86 81 67 49 31 17 10 16 46 68 85 88 97 107 56 30 31 27 11 5 7 8 4 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 1 1 1 1 1 2 2 2 1 1 1 1 3 4 4 5 6 3 2 2 2 1 0 0 1 1 1 1 1 1 2 6 10 12 23 45 79 133 184 241 301 371 460 561 671 778 883 972 1031 1085 1144 1215 1293 1306 1322 1328
29 26 25 24 19 11 6 2 1 1 3 8 20 57 125 187 212 211 181 131 87 72 79 97 138 196 236 178 142 147 173 190 194 246 310 365 417 463 446 392 291 189 122 95 75 86 109 127 134 122 98 84 76 71 64 54 37 27 21 18 18 28 34 41 64 124 198 121 71 44 18 8 5 4 2 1 0 0 0 0 1 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 2 2 2 2 2 1 1 1 2 2 3 4 4 3 4 4 3 3 3 2 2 2 3 3 3 3 3 2 2 2 2 2 2 4 9 26 48 70 87 125 197 271 342 420 558 649 730 807 890 985 1080 1127 1167 1209
24 26 28 31 30 26 18 10 4 0 0 1 9 31 69 119 183 241 256 221 177 152 126 108 121 177 201 160 134 147 178 170 153 154 177 215 277 435 533 510 406 261 148 111 92 92 101 113 117 106 92 77 65 56 47 39 30 27 31 38 35 36 36 37 51 120 320 290 155 56 5 3 1 1 0 0 1 2 2 2 5 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 2 2 2 2 2 2 3 3 3 3 3 2 3 3 4 4 3 3 3 3 4 4 4 5 5 5 4 4 4 3 2 2 2 2 5 9 7 30 59 89 119 152 239 327 410 493 612 705 802 894 984 1059
15 20 25 30 32 32 30 24 14 2 0 0 4 15 33 66 141 215 260 269 262 224 164 123 127 136 122 120 114 115 131 138 139 125 111 108 124 197 338 431 408 268 159 114 86 70 64 64 68 72 68 59 48 39 31 25 20 20 26 34 32 32 33 35 41 78 207 223 118 29 5 1 0 0 0 0 0 2 4 4 6 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 2 2 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 2 3 4 4 5 6 6 7 7 6 5 5 4 3 3 2 2 3 4 5 9 16 21 46 76 116 165 217 309 382 464 576 712 831
11 14 18 25 31 36 41 43 31 13 4 1 1 5 16 34 75 127 178 228 267 257 222 191 183 179 166 139 109 90 87 104 112 95 66 54 54 90 169 267 324 235 156 106 73 49 32 27 31 37 39 35 27 21 16 14 14 17 29 34 35 34 36 40 54 69 72 45 28 16 8 3 2 1 0 0 2 2 2 2 2 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 1 2 2 2 2 1 2 2 3 3 3 3 2 2 2 2 2 2 2 2 3 5 7 6 6 5 6 6 5 5 5 4 4 3 4 4 4 3 4 4 9 11 20 49 78 109 142 192 293 435 558
25 10 11 20 29 39 48 55 46 28 14 5 0 1 8 19 34 56 91 141 186 216 235 247 256 250 199 144 107 88 79 76 72 57 36 27 29 42 72 132 215 186 139 95 63 41 20 13 13 15 16 12 9 8 7 7 9 16 34 41 42 39 36 44 65 84 88 73 50 30 17 9 6 5 19 24 17 7 3 5 9 8 4 1 1 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 0 1 1 1 0 0 0 0 1 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 4 3 4 4 4 4 4 5 5 5 6 6 5 4 4 5 5 4 4 13 22 35 60 97 161 242 320
28 9 6 14 24 36 47 51 47 39 29 18 5 2 4 10 18 30 48 73 96 125 165 218 267 280 244 188 137 96 74 58 44 33 23 19 19 23 39 72 129 139 121 89 57 38 22 15 13 13 11 7 5 4 5 7 10 22 38 54 61 52 38 38 51 69 84 86 58 36 23 16 11 8 12 13 12 13 7 10 11 9 4 0 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 0 0 0 0 0 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 4 4 5 6 6 7 6 6 6 7 7 7 6 6 6 7 10 16 38 78 117 154
7 2 3 9 18 30 41 46 47 48 49 44 23 11 5 6 12 19 28 39 52 71 102 156 187 198 189 164 134 94 69 49 32 22 17 15 14 16 24 41 72 98 106 96 71 48 27 17 13 10 7 5 5 5 6 8 12 23 40 61 76 60 40 30 31 41 59 53 39 27 20 17 13 10 6 5 12 22 15 9 5 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 2 1 1 2 1 1 1 1 1 1 2 2 2 2 3 4 5 5 6 7 8 8 8 8 8 8 8 8 8 7 7 7 8 16 29 42 59
0 0 1 5 14 25 36 42 47 56 65 52 37 24 13 8 8 11 15 25 39 56 70 78 98 114 120 118 111 86 64 47 31 21 14 12 13 14 17 26 41 63 81 88 83 61 34 15 8 4 3 2 3 4 5 6 9 15 26 40 56 42 28 19 17 23 34 31 25 19 15 12 10 9 8 12 23 27 23 17 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 3 4 4 5 7 8 8 8 8 8 9 10 10 9 8 8 7 7 7 7 9 17
0 0 0 3 11 21 33 39 43 49 56 47 42 36 26 16 6 5 9 18 31 47 56 61 72 83 91 94 96 80 62 45 31 20 12 11 13 16 18 19 24 35 47 55 52 45 31 16 7 1 0 0 1 1 1 1 3 7 13 20 24 20 14 11 12 18 20 21 19 15 11 10 10 9 7 3 6 19 38 48 35 9 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 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 3 4 6 9 7 6 6 6 6 6 6 7 7 8 7 7 6 5 6 6 7 8
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