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 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 6 6 7 7 8 8 9 9 9 8 7 7 7 7 7 7 7 8 8 8 9 9 8 8 7 7 8 8 8 9 9 9 8 8 8 8 8 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 9 10 9 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 10 9 9 9 9 9 10 10 9 9 8 8 9 9 9 10 10 10 9 8 8 9 10 11 10 10 nan
nan 9 9 9 9 9 9 8 8 8 8 7 7 7 7 6 6 6 7 7 8 8 9 9 9 9 8 8 8 8 7 7 7 7 7 8 8 8 8 8 7 7 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 8 7 6 7 7 8 8 8 8 7 7 6 6 7 7 7 7 7 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 10 10 10 9 9 8 8 8 9 10 10 10 10 9 9 9 9 10 10 9 9 nan
nan 11 11 11 11 10 10 10 10 10 9 9 8 8 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 9 10 10 9 9 8 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 8 7 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 7 8 8 8 8 8 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 9 9 8 9 9 10 10 10 10 10 10 9 9 10 10 9 10 nan
nan 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 10 11 11 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 10 10 11 11 10 10 8 8 7 7 7 8 8 8 8 9 8 8 8 8 8 8 8 7 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 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 nan
nan 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 11 11 11 12 12 12 11 11 11 11 12 12 13 13 12 12 12 12 11 11 11 11 11 11 11 11 12 12 13 12 12 11 10 9 9 8 8 8 8 8 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 12 12 11 11 10 9 9 9 9 nan
nan 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 13 13 12 12 12 11 11 10 10 10 10 10 10 10 11 11 12 13 13 12 12 12 12 12 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 13 13 14 14 14 13 12 11 10 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 8 8 8 8 9 9 9 9 9 10 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 12 12 11 10 10 9 8 nan
nan 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 12 13 14 14 13 13 12 11 11 11 11 11 11 11 11 11 11 12 13 13 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 13 14 14 13 12 11 9 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 8 8 8 8 8 8 7 8 9 11 11 11 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 10 10 11 13 12 12 11 10 7 5 nan
nan 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 10 11 12 13 13 13 13 13 12 11 11 11 11 11 11 10 10 11 11 12 12 12 12 12 11 11 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 11 10 8 7 6 6 6 7 7 7 7 6 6 6 6 6 5 6 6 7 7 8 8 8 8 7 7 6 5 6 8 11 13 13 14 13 12 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 10 10 11 12 13 12 12 10 8 4 2 nan
nan 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 11 12 13 13 13 13 12 12 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 7 6 5 6 6 7 7 7 7 6 6 6 6 6 6 6 7 8 9 9 9 9 7 6 4 3 3 4 6 9 12 14 16 17 15 13 11 10 10 10 10 9 10 10 10 10 9 9 9 10 10 10 10 10 11 11 12 12 12 10 9 7 4 3 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 11 12 12 12 13 12 12 11 11 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 8 7 6 6 6 7 7 8 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 7 5 3 2 2 3 5 7 9 11 15 18 19 17 14 12 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 11 11 10 9 8 7 7 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 11 11 11 12 12 12 11 11 10 10 9 9 9 9 9 9 10 10 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 10 10 9 8 7 7 7 8 8 8 8 8 8 8 9 9 8 8 8 8 9 9 8 7 7 6 4 3 2 3 4 5 6 7 9 12 16 19 19 17 13 11 11 11 10 9 10 10 11 11 11 11 11 11 10 11 11 11 11 11 11 11 10 10 10 10 10 nan
nan 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 10 11 11 11 12 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 8 8 8 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 11 11 10 9 9 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 9 9 8 7 6 6 4 2 2 3 5 6 6 6 7 9 14 18 19 16 13 11 11 10 9 9 9 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 nan
nan 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 10 10 11 12 12 11 11 10 10 9 9 9 9 9 9 9 9 8 8 8 7 8 8 8 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 9 9 9 10 10 10 9 9 9 9 8 7 7 7 6 4 2 2 3 5 6 6 6 7 8 11 15 17 16 13 11 10 9 8 8 8 9 10 10 11 11 12 12 12 12 12 11 11 10 10 11 11 12 12 12 11 nan
nan 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 10 11 11 12 11 10 10 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 9 9 9 10 10 10 9 9 9 8 7 6 7 7 6 4 3 3 4 5 6 7 7 7 8 9 13 16 16 15 12 10 8 8 8 8 8 8 9 9 10 11 11 11 11 11 10 9 9 10 11 12 12 12 11 11 nan
nan 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 10 10 11 10 10 10 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 9 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 6 6 7 6 5 4 4 5 6 7 7 8 8 8 9 11 14 17 17 14 11 9 9 9 8 8 7 7 8 9 9 10 10 10 9 8 8 8 9 10 12 12 12 11 11 nan
nan 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 9 9 10 10 10 9 9 8 9 8 8 8 8 8 7 7 7 6 6 6 6 7 7 7 7 7 6 6 6 6 7 7 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 10 9 8 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 5 6 6 7 7 7 7 7 7 7 7 8 8 8 8 10 12 15 17 15 12 11 10 9 7 6 6 6 7 8 8 9 9 9 8 7 7 8 9 10 10 11 11 11 11 nan
nan 9 9 8 8 8 7 7 7 7 7 7 7 8 8 9 10 11 10 9 9 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 9 9 8 8 8 9 9 9 8 8 7 6 5 5 5 6 7 8 8 7 7 7 7 8 8 8 9 8 9 10 13 15 14 12 12 11 9 6 5 5 6 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 nan
nan 9 9 9 9 8 8 7 7 7 7 7 8 9 10 11 12 11 10 9 9 8 8 8 8 7 7 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 7 7 7 7 7 7 8 7 7 8 8 8 8 9 9 9 10 10 11 11 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 5 5 5 5 6 7 7 7 7 7 7 7 8 8 9 9 9 9 9 11 13 13 12 12 11 9 7 6 7 8 8 8 8 7 7 8 8 8 8 8 8 8 9 9 9 9 10 nan
nan 9 9 9 8 8 8 8 7 7 8 8 9 10 11 12 11 10 10 9 9 8 8 8 8 7 7 6 6 6 6 6 6 7 7 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 6 5 5 5 6 7 8 8 7 6 6 6 7 8 8 9 9 9 9 9 11 12 12 11 11 11 10 9 8 9 9 10 9 9 8 7 7 8 8 8 8 8 8 8 9 9 9 10 nan
nan 8 8 8 8 8 8 7 7 8 8 9 9 10 10 10 9 9 9 9 9 8 8 7 7 7 7 7 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 8 7 7 7 7 8 8 8 7 7 7 8 8 8 7 6 6 5 6 6 8 9 8 7 6 5 6 7 7 8 8 9 9 9 10 11 12 11 10 10 11 10 9 9 9 9 10 10 9 9 9 8 8 9 9 9 8 8 7 8 9 9 10 nan
nan 8 8 8 7 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 9 10 11 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 8 8 8 8 9 9 8 7 7 7 8 8 8 7 7 6 6 6 6 6 6 5 4 4 5 6 6 7 8 8 9 10 11 12 13 12 11 9 10 10 10 9 8 8 8 9 10 10 10 9 10 10 10 10 10 9 8 8 8 8 9 10 nan
nan 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 6 7 8 10 11 12 13 13 13 12 12 11 10 10 10 9 10 10 10 9 9 9 10 10 11 11 11 11 12 12 12 11 10 10 9 9 9 9 9 9 8 8 8 8 8 8 7 7 6 5 5 4 3 2 3 4 5 6 6 7 7 8 10 11 12 14 14 13 10 9 9 10 10 9 8 8 8 9 10 10 10 9 10 10 10 10 10 10 9 8 8 8 8 10 nan
nan 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 9 10 10 10 9 7 6 6 6 7 7 7 7 7 7 7 7 7 7 8 9 11 12 13 13 13 12 11 11 10 10 10 9 9 9 9 9 9 9 9 10 11 11 11 11 11 12 12 13 13 13 12 11 10 10 10 10 10 10 9 8 8 8 8 8 8 7 7 6 5 4 3 4 5 6 6 6 6 7 7 9 10 12 14 16 15 12 9 8 9 10 10 10 9 9 9 9 10 10 9 10 10 10 10 10 10 10 10 9 8 8 9 10 nan
nan 8 8 8 8 9 9 9 9 9 10 10 10 11 11 10 9 9 9 9 10 10 11 11 10 9 8 8 7 8 8 9 9 9 9 9 8 8 9 10 11 12 13 14 13 12 11 10 10 10 10 10 9 9 9 9 9 9 9 9 10 11 11 12 11 11 11 12 12 13 13 13 13 12 11 10 10 10 10 10 9 8 8 8 8 8 8 8 7 7 6 5 5 6 6 7 6 6 6 7 7 8 10 12 15 16 13 10 8 9 10 11 11 10 9 10 10 10 10 10 10 10 10 11 11 10 10 10 10 9 8 8 9 9 nan
nan 7 8 8 9 10 11 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 12 12 12 12 11 11 11 12 13 14 14 13 12 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 11 12 12 12 11 11 11 11 12 13 13 13 12 12 11 10 10 10 10 10 9 9 9 9 8 9 9 9 8 8 7 7 7 7 7 7 6 6 6 6 7 8 10 12 14 14 12 10 9 11 12 11 10 9 9 10 10 11 11 11 11 10 10 11 11 11 10 9 8 7 6 7 8 9 nan
nan 8 8 9 11 12 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 10 11 12 12 13 14 14 15 15 16 15 15 15 15 14 13 12 11 10 10 10 11 11 11 10 9 9 9 9 9 9 9 10 10 11 11 12 11 11 11 10 11 11 12 12 12 12 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 7 7 6 6 6 7 7 8 9 11 13 13 11 11 11 12 11 10 9 8 9 10 11 12 12 12 11 11 10 10 11 10 10 8 6 5 4 5 7 9 nan
nan 9 10 11 12 13 13 13 12 11 10 10 9 9 9 10 10 10 10 10 9 9 8 8 8 9 10 11 12 13 14 14 15 17 18 19 18 17 16 15 14 13 11 11 10 10 11 11 11 10 10 9 8 8 8 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 8 9 11 13 13 12 12 12 11 10 9 9 8 9 10 11 12 13 13 12 12 11 11 11 10 10 8 6 6 6 6 7 8 nan
nan 10 11 12 13 13 13 12 11 10 9 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 10 11 11 12 13 14 16 18 19 19 18 17 15 15 14 13 12 11 10 10 10 10 10 10 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 8 7 6 6 7 7 7 7 8 8 8 8 10 13 14 14 13 11 10 10 9 9 10 10 10 10 11 12 13 13 12 12 11 11 11 11 10 10 10 10 9 8 8 nan
nan 11 12 13 13 12 12 10 10 9 8 8 8 9 9 9 9 9 8 8 7 8 8 9 9 10 11 11 12 13 14 15 17 19 19 18 16 15 15 14 13 12 11 11 10 10 10 10 10 9 9 9 9 9 8 8 9 9 10 10 10 10 10 10 9 10 10 9 9 9 10 11 12 12 12 12 11 11 10 9 9 9 9 9 9 10 10 10 11 10 9 9 7 6 6 7 8 8 8 8 8 8 8 10 13 15 16 14 11 10 10 10 10 10 10 10 10 10 11 11 12 12 13 12 12 11 12 12 13 14 13 12 10 9 nan
nan 10 12 13 13 12 11 10 9 8 8 8 9 9 9 9 9 8 8 7 8 8 9 9 10 11 11 12 13 14 15 17 17 18 17 16 15 14 14 13 13 12 11 11 10 10 10 10 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 11 11 11 11 11 11 12 13 14 14 14 14 13 11 10 10 11 11 11 11 11 11 11 11 11 10 10 8 7 7 7 8 8 9 9 8 8 9 10 14 16 17 15 12 10 10 10 9 9 10 10 10 10 10 10 11 12 12 12 11 11 12 13 14 15 15 15 13 11 nan
nan 10 12 13 13 12 11 10 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 10 11 11 12 13 14 15 16 16 16 15 14 14 13 13 13 12 12 11 11 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 11 11 12 13 13 13 13 12 12 12 14 15 15 15 14 13 13 13 13 14 14 13 12 12 11 11 11 11 10 9 8 7 7 8 9 9 9 9 9 9 10 13 16 18 16 13 11 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 12 13 14 15 16 16 16 14 nan
nan 11 13 14 13 12 11 10 9 9 9 10 10 10 9 9 8 8 8 9 10 11 11 12 12 12 13 14 15 15 15 14 13 12 12 12 12 12 11 11 11 10 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 12 13 13 13 13 12 12 12 13 14 15 15 15 14 14 15 15 16 16 16 16 14 13 12 11 11 11 10 9 8 7 7 8 9 10 10 9 9 9 9 11 14 16 16 14 11 9 8 8 8 9 9 10 10 10 10 10 10 10 11 11 11 12 13 13 14 14 14 14 13 nan
nan 12 13 14 13 11 10 9 9 10 10 10 10 10 9 9 8 8 9 10 11 12 13 13 14 14 14 15 15 14 13 12 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 8 8 8 7 8 8 8 9 9 9 9 9 9 9 10 10 10 11 12 12 12 12 11 12 13 14 14 15 14 13 12 13 14 15 15 16 17 17 16 15 14 12 11 11 11 10 8 7 7 8 9 9 9 9 9 9 9 10 12 15 15 13 10 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 10 10 10 nan
nan 13 13 12 11 10 9 9 9 10 10 10 10 10 9 8 8 9 10 11 12 13 14 15 15 15 15 15 14 13 11 11 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 10 11 11 12 13 14 15 15 13 12 11 12 13 13 13 13 14 15 15 15 14 13 12 12 11 11 9 8 7 8 9 9 9 9 9 10 10 11 13 14 13 10 8 7 8 9 9 9 9 9 8 8 8 9 10 10 10 10 9 10 10 10 10 9 8 8 7 nan
nan 13 12 12 10 9 9 9 10 10 11 10 10 9 8 8 8 9 10 11 13 14 15 16 16 16 15 14 12 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 9 9 9 10 11 12 13 13 14 13 12 11 11 12 12 12 11 11 11 12 13 14 13 12 11 12 12 12 11 9 8 8 9 9 9 9 9 10 11 12 13 13 10 8 7 8 10 11 11 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 7 6 nan
nan 13 12 12 10 9 9 9 10 11 11 10 9 7 7 7 8 9 10 12 13 14 15 15 15 14 13 12 11 11 10 10 10 10 10 10 10 10 10 10 11 12 11 11 10 10 9 9 10 10 10 10 10 9 9 9 9 9 10 10 9 9 9 10 9 9 9 9 10 10 11 11 11 11 11 10 10 11 12 12 12 11 10 11 11 11 11 10 10 10 10 11 12 11 10 9 9 9 9 9 9 9 10 10 11 12 11 9 9 9 11 12 12 10 8 8 8 8 9 8 8 8 9 9 9 10 10 10 9 8 8 7 7 5 nan
nan 13 12 12 10 9 9 9 10 11 10 9 8 7 6 7 8 10 12 13 14 14 15 15 14 14 13 12 11 11 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 10 10 9 9 10 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 9 10 10 10 9 9 8 8 9 10 11 12 12 13 13 12 12 11 11 10 9 9 9 10 10 10 10 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 12 12 11 10 8 7 7 7 8 8 8 8 8 8 8 9 10 10 9 8 8 7 7 7 5 nan
nan 13 12 12 10 9 9 9 10 10 10 9 8 8 8 9 10 11 13 14 14 14 14 13 13 13 12 12 11 11 11 11 12 12 11 11 11 10 10 11 12 12 12 12 12 11 10 9 9 9 9 9 8 7 8 8 8 8 8 8 8 8 9 10 10 9 9 9 9 8 8 8 8 8 9 9 10 10 11 12 13 13 13 13 12 11 10 9 8 8 9 9 9 9 8 9 9 9 9 8 7 7 8 8 9 9 9 9 10 11 10 8 6 6 7 8 8 8 9 9 9 8 8 8 9 9 9 9 8 8 9 8 7 4 nan
nan 12 12 11 10 9 9 9 9 9 9 9 10 10 11 11 12 13 14 14 13 13 12 11 11 10 10 10 10 10 11 12 12 12 12 11 11 11 11 11 12 12 13 13 13 11 10 9 9 9 9 8 8 8 7 8 8 8 7 7 7 8 9 10 10 10 10 9 8 7 6 7 8 8 9 9 10 10 10 11 12 13 13 12 12 11 9 8 8 7 8 8 8 8 7 8 8 9 8 7 6 6 7 8 8 8 8 8 9 8 7 6 5 7 9 10 10 10 10 9 9 8 7 8 8 9 9 9 9 9 8 7 5 1 nan
nan 11 11 10 9 8 8 8 8 9 9 10 11 12 13 14 14 14 13 13 12 12 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 12 13 13 12 11 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 11 11 11 9 7 6 6 7 8 9 9 9 9 10 10 11 12 12 12 11 10 9 8 7 7 8 8 8 8 7 6 7 8 7 6 5 5 6 7 8 8 8 8 8 7 6 6 7 10 12 11 10 9 8 8 8 7 7 8 9 9 9 8 7 6 4 2 -1 -2 nan
nan 10 10 9 8 7 7 8 8 8 9 10 12 14 15 15 14 13 12 11 11 10 10 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 11 10 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 9 8 9 10 11 12 11 9 7 7 7 8 8 8 8 9 10 10 11 11 11 10 10 9 8 8 8 8 9 9 9 8 7 7 7 7 6 6 5 5 6 7 8 9 9 9 8 7 7 8 10 12 12 11 9 7 7 7 7 7 7 8 9 9 8 6 3 2 0 -0 -1 1 nan
nan 10 9 9 8 7 8 8 8 9 9 11 13 15 16 15 13 11 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 10 10 10 10 10 10 9 9 9 8 8 9 10 10 11 10 9 9 9 9 10 11 11 10 9 8 8 8 8 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 8 8 6 6 6 7 7 8 9 10 10 10 8 8 8 9 11 11 11 10 9 8 7 8 8 8 7 7 6 5 3 1 -0 -1 1 3 6 8 nan
nan 9 9 9 8 8 7 7 7 8 9 11 14 16 16 14 12 10 9 9 10 10 10 10 10 11 11 10 9 9 9 9 9 9 8 8 8 8 7 6 7 8 9 10 10 9 9 10 11 11 11 11 11 10 9 8 8 8 8 9 9 9 9 8 8 9 9 10 10 11 10 10 9 8 9 11 12 11 11 10 9 8 9 9 9 9 9 9 9 8 9 9 9 9 10 10 10 9 8 8 9 10 10 11 12 13 12 10 9 8 9 10 11 11 10 10 10 11 11 11 10 8 5 3 1 -0 -1 -1 0 3 7 11 14 15 nan
nan 10 10 9 9 7 5 5 5 5 7 10 13 15 15 13 11 9 8 9 9 9 9 10 10 10 10 9 8 8 8 8 9 8 8 8 7 6 5 4 4 6 8 9 9 8 9 10 12 13 13 12 11 10 9 8 7 7 7 7 8 9 9 9 9 9 9 10 10 11 11 11 10 10 10 11 11 11 10 9 8 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 11 12 12 13 14 14 12 10 9 10 11 12 12 11 11 11 12 13 13 13 11 7 3 1 0 1 3 6 9 13 16 19 19 18 nan
nan 10 10 9 8 6 4 4 3 4 5 8 11 13 13 12 10 8 8 8 8 8 8 9 10 10 9 8 8 8 8 8 8 8 7 7 6 5 4 4 5 7 9 10 10 9 10 11 12 13 13 12 11 10 9 8 7 6 6 7 8 9 10 10 10 11 11 11 11 11 12 11 11 11 11 10 10 9 9 9 8 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 11 12 12 12 13 13 12 11 10 11 12 14 14 13 12 12 14 15 16 17 16 12 8 6 6 8 10 13 15 18 21 22 22 20 19 nan
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nan 14 14 15 14 13 12 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 10 10 8 8 8 8 9 10 11 11 11 11 11 11 10 10 9 9 8 7 6 5 5 6 8 10 10 9 10 12 14 15 15 13 12 12 11 11 11 11 10 9 9 9 9 9 10 11 12 11 11 11 11 11 10 10 10 9 8 7 7 7 6 6 4 3 2 3 4 6 7 8 8 8 8 8 7 6 4 3 2 3 4 6 8 7 6 4 4 8 13 18 18 15 12 10 10 10 10 9 9 9 9 10 nan
nan 14 14 14 13 12 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 12 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 9 8 8 8 8 7 6 5 4 5 7 8 8 10 12 14 16 16 15 14 14 13 14 14 13 13 12 12 12 12 13 13 13 11 10 9 10 10 10 9 9 9 9 8 7 6 4 2 1 1 1 1 3 5 7 8 8 8 9 10 11 11 10 9 8 8 9 10 11 11 11 9 8 11 15 19 21 18 14 11 10 10 10 9 9 9 9 9 10 nan
nan 13 13 12 12 11 10 10 11 11 12 11 11 12 12 12 12 12 12 12 11 11 10 11 12 12 13 13 13 12 11 11 11 10 11 11 11 10 10 10 9 9 9 9 9 9 9 8 9 9 9 8 7 5 5 6 7 8 9 10 11 12 14 14 15 15 14 14 14 14 14 14 14 14 15 15 14 13 10 9 9 9 9 8 7 8 9 9 9 8 6 5 3 3 3 3 5 6 7 8 8 8 8 8 10 11 12 12 12 12 12 13 14 14 14 14 13 14 16 18 20 19 15 12 10 9 10 10 10 10 10 9 10 10 nan
nan 12 12 11 10 10 10 10 11 12 12 12 12 12 12 12 12 12 12 12 12 11 10 10 11 11 12 12 12 11 11 11 11 11 12 12 11 11 10 10 9 8 8 8 9 10 10 10 10 11 11 10 9 7 6 6 7 8 9 10 10 10 10 11 12 13 13 12 12 12 11 12 12 12 13 13 12 11 10 9 9 9 8 5 4 5 7 9 10 11 11 10 9 9 9 9 9 9 9 8 8 8 8 9 10 10 11 12 12 12 13 13 13 14 15 15 15 15 16 17 17 15 12 10 9 10 10 10 10 10 10 10 10 10 nan
nan 11 11 10 10 9 9 10 11 12 13 13 13 13 12 11 11 11 12 12 12 11 10 10 10 10 10 10 10 10 9 10 11 12 12 12 12 12 11 10 9 9 9 9 9 10 11 11 11 12 12 11 11 9 8 7 6 7 8 10 11 11 11 11 11 10 10 10 10 9 9 9 9 9 10 9 9 8 9 9 9 8 6 3 2 2 4 6 9 11 13 13 13 13 12 11 10 9 8 8 8 8 9 9 10 10 11 11 12 12 12 12 13 14 14 14 14 15 16 17 15 12 10 9 9 10 10 10 10 10 10 10 10 10 nan
nan 10 10 9 9 9 9 9 10 11 12 13 13 13 12 11 11 11 11 11 11 11 10 10 10 10 9 8 7 6 7 8 11 12 13 13 13 12 11 11 10 10 9 9 9 10 11 11 11 12 12 11 11 10 9 8 7 6 7 9 10 12 13 13 12 11 11 10 10 9 8 8 8 8 8 8 8 7 8 8 8 7 6 4 3 3 3 4 5 6 8 9 9 9 9 8 8 8 8 8 9 9 9 9 10 10 10 11 11 12 12 13 13 14 14 14 14 15 17 18 16 12 10 8 9 10 10 10 10 10 10 10 10 10 nan
nan 9 9 9 8 8 8 9 10 11 12 13 13 12 11 10 10 10 11 11 10 10 10 10 10 9 8 6 5 5 5 8 11 13 14 14 13 12 11 11 10 10 10 9 9 10 10 11 11 11 11 11 11 11 10 9 8 7 6 7 8 10 11 13 13 13 13 12 11 10 9 9 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 4 2 1 1 2 2 3 4 5 6 8 9 9 10 10 10 10 10 10 11 11 11 12 12 14 15 15 14 13 14 16 18 18 15 12 10 9 10 10 10 10 10 10 10 10 10 10 nan
nan 9 9 8 8 8 8 9 10 11 12 12 11 11 10 10 10 10 10 10 10 10 9 9 8 8 8 7 6 6 7 9 12 13 14 14 13 12 11 11 10 10 10 9 9 10 10 11 11 11 11 11 11 11 11 10 9 8 8 7 7 8 9 11 12 12 13 12 12 11 12 12 13 12 11 10 9 8 8 8 7 7 7 7 7 8 8 6 4 2 1 0 1 2 4 6 8 9 10 10 10 10 10 11 11 11 11 11 11 12 15 17 18 17 14 13 14 16 17 16 13 11 10 10 10 10 10 11 10 10 10 10 10 10 nan
nan 9 9 9 9 9 9 9 10 11 12 11 11 10 10 9 9 10 10 10 10 9 9 7 7 7 7 8 8 9 9 10 12 12 12 12 11 11 10 10 9 9 9 9 10 10 11 11 12 12 12 12 11 11 11 11 11 10 10 9 8 8 8 9 10 10 11 11 12 14 16 18 19 18 15 13 11 10 9 8 8 7 7 8 8 9 9 9 8 7 6 5 6 7 8 9 10 10 10 10 10 11 11 11 12 12 11 11 11 13 17 19 18 16 12 12 14 15 15 13 11 10 10 11 11 11 11 11 11 10 10 10 10 10 nan
nan 9 9 9 9 9 9 9 10 11 11 11 10 10 10 9 10 10 10 9 9 9 8 7 6 6 7 8 9 11 11 11 11 11 10 10 10 10 10 9 9 9 10 10 11 11 12 12 13 13 12 12 12 12 11 11 11 11 11 11 10 10 10 10 9 9 9 10 12 14 17 20 21 21 20 18 16 13 11 10 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 14 17 18 17 14 12 13 14 15 13 10 9 9 10 11 11 11 11 11 11 10 10 10 10 9 nan
nan 10 10 10 9 9 9 9 10 11 11 11 10 10 10 10 10 9 9 9 9 9 9 8 7 7 6 7 9 11 11 11 10 9 9 9 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 10 12 13 15 17 18 19 19 19 18 15 13 12 11 12 13 14 14 13 12 12 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 11 13 17 19 20 18 15 15 16 16 15 12 8 8 9 10 11 11 11 11 11 11 10 10 9 9 9 nan
nan 11 11 10 10 9 9 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 8 7 6 7 10 11 12 11 9 8 9 9 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 11 11 11 11 11 10 9 8 9 9 9 8 8 9 10 12 14 15 18 19 18 16 14 11 10 11 12 12 12 11 11 11 11 10 10 10 11 11 11 11 10 10 10 11 11 10 10 9 10 13 16 19 21 20 18 17 16 16 16 14 11 9 9 9 10 11 11 11 11 11 10 10 10 9 9 9 nan
nan 11 11 11 10 10 10 10 11 12 12 11 11 10 9 9 9 8 8 8 9 9 9 9 9 8 7 8 10 12 12 11 9 9 9 10 10 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 8 8 8 9 9 8 7 6 7 8 9 10 12 13 15 17 17 16 13 10 9 8 7 8 8 9 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 12 15 18 20 19 16 15 14 13 13 13 12 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 nan
nan 12 12 12 11 10 10 11 11 12 12 11 11 10 9 9 8 8 8 8 8 9 9 9 9 9 8 8 10 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 8 8 9 9 9 8 7 7 7 8 9 10 11 11 12 14 15 16 15 13 11 10 8 7 8 8 9 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 11 14 16 18 17 14 12 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 nan
nan 14 13 12 11 10 10 11 12 12 12 11 11 10 9 9 9 8 8 8 8 9 9 9 9 9 8 8 9 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 10 10 10 10 10 9 9 10 10 10 11 10 10 8 8 9 10 10 11 11 11 11 12 12 14 15 15 15 15 14 13 12 11 11 11 12 12 12 12 12 12 12 11 11 10 10 9 9 9 10 12 15 16 16 13 11 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 nan
nan 17 15 12 10 9 9 10 11 12 12 11 11 10 10 10 10 9 9 9 9 9 9 9 8 8 8 9 10 10 10 10 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 11 12 13 13 13 12 12 12 12 12 13 13 14 15 15 15 14 13 12 13 14 15 15 15 14 14 13 12 11 10 9 9 9 9 10 11 14 15 15 12 10 9 9 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 nan
nan 18 15 11 9 9 9 10 11 12 12 12 11 11 11 11 11 11 11 10 10 10 10 9 8 7 8 9 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 12 12 13 13 12 12 13 14 14 15 14 13 12 12 12 12 12 12 12 12 13 13 12 11 11 11 13 16 17 17 16 15 15 14 12 11 11 10 10 10 11 12 14 15 15 14 11 9 9 9 10 11 11 11 11 11 11 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 nan
nan 14 12 9 8 9 10 11 12 13 13 13 13 13 13 13 13 13 13 12 12 11 10 8 7 7 8 9 11 12 13 13 13 12 12 12 12 12 12 12 12 11 12 12 12 12 11 11 10 11 11 11 11 10 10 10 9 9 10 11 11 12 12 12 13 13 13 14 15 15 15 14 13 12 11 11 11 12 12 12 12 12 11 11 10 10 10 11 13 15 16 15 15 14 14 13 13 12 12 12 12 13 14 15 17 17 15 13 11 10 10 10 11 11 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 9 7 7 7 8 10 12 13 15 15 16 16 16 16 16 15 15 15 15 14 13 12 9 7 7 7 9 11 13 14 15 13 11 11 11 12 13 12 12 11 11 12 13 13 12 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 12 12 13 13 13 14 15 15 15 14 13 11 10 10 10 11 11 11 11 11 11 10 10 10 9 10 11 13 14 14 14 13 13 13 13 13 14 14 14 14 14 15 16 17 16 14 12 11 11 11 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 6 6 6 7 8 10 13 16 17 19 19 19 18 17 16 16 16 16 16 16 16 14 12 10 10 10 11 13 15 15 15 12 10 11 12 12 12 12 11 11 11 12 12 12 10 9 9 10 11 12 12 12 11 11 10 10 10 10 11 11 12 12 12 13 13 14 15 15 15 13 11 10 10 10 10 10 10 11 11 10 10 10 10 9 9 10 11 13 14 14 14 14 13 12 12 13 13 13 13 13 13 13 14 15 14 13 13 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 7 7 7 8 9 11 15 18 20 20 20 18 17 15 14 14 14 15 15 16 16 16 15 14 14 15 16 17 18 17 15 12 11 12 13 13 12 12 11 11 11 11 11 10 10 9 10 11 12 13 13 12 12 12 11 10 10 10 11 12 12 12 12 12 13 14 15 15 15 13 12 11 10 10 10 11 11 11 10 10 10 10 10 10 10 10 12 13 14 14 15 14 14 13 12 11 11 10 10 10 11 11 12 12 12 13 13 13 13 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 nan
nan 8 9 9 10 12 14 16 19 20 19 18 15 13 11 11 11 11 12 13 14 15 15 15 15 16 18 19 20 20 19 16 13 12 12 11 12 12 11 11 10 10 10 10 10 10 10 11 12 13 13 13 13 13 12 11 10 10 11 12 12 12 12 12 12 13 13 14 15 15 14 12 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 12 12 13 14 14 14 13 13 12 11 10 10 10 10 10 10 11 12 12 12 12 13 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 nan
nan 8 9 10 11 13 15 17 18 18 17 14 11 9 8 8 8 9 9 10 11 13 13 14 15 16 17 19 20 20 18 14 11 9 8 8 9 10 10 10 10 10 10 10 11 11 12 12 13 13 13 13 13 13 12 11 11 11 11 12 12 12 12 12 12 13 13 14 14 14 13 12 11 11 10 10 10 10 9 9 9 10 11 11 11 11 11 11 12 13 13 13 13 12 12 11 11 10 10 10 10 10 11 11 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 nan
nan 8 9 10 12 13 15 16 16 15 14 12 9 8 7 7 7 7 8 8 10 11 13 14 15 15 15 16 17 17 15 11 8 7 7 8 10 10 10 10 10 10 10 11 12 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 12 11 10 10 10 10 10 10 9 9 9 10 11 11 11 11 11 11 12 12 12 12 11 11 11 11 10 10 10 10 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 11 11 11 10 11 11 11 12 nan
nan 7 9 10 12 13 14 15 15 14 12 10 8 7 7 6 6 7 7 8 9 11 13 14 15 15 15 14 14 14 12 10 9 9 11 12 12 11 10 10 11 11 12 12 13 13 13 13 12 12 12 12 11 11 11 10 10 10 10 11 11 12 12 13 13 13 13 13 12 12 11 11 10 10 10 10 10 9 9 9 10 10 11 12 11 11 11 12 12 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 nan
nan 7 8 10 12 13 14 15 14 13 11 9 8 7 7 7 7 7 8 9 10 11 13 15 15 15 14 14 13 13 12 11 11 11 12 12 11 10 10 10 11 12 13 13 12 12 11 11 12 11 11 11 11 11 10 10 10 10 11 11 12 12 13 13 13 13 13 12 12 12 11 11 10 10 10 10 10 9 9 10 10 11 11 11 11 11 11 13 13 13 13 12 10 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 11 12 12 12 12 12 nan
nan 6 8 9 11 13 14 14 14 12 10 9 8 8 7 8 8 9 9 10 11 12 14 15 15 14 13 12 11 11 11 11 10 10 9 9 8 9 9 11 12 12 12 12 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 9 10 10 10 10 10 10 10 10 11 13 14 16 15 13 11 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 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
CAPE
25 24 23 23 23 23 22 22 22 22 21 19 18 16 14 11 10 9 9 7 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 7 13 18
30 30 31 32 32 31 30 29 29 29 28 27 26 24 21 18 15 14 12 10 9 7 5 4 2 2 2 2 2 1 0 0 0 0 0 0 1 1 1 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 13 19 23
34 37 39 40 40 39 37 36 35 35 35 35 35 34 32 29 25 21 18 16 15 12 10 7 5 5 4 4 3 2 1 0 0 0 0 1 4 5 5 9 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 9 14 22 26
27 31 33 33 34 34 34 33 32 33 34 35 36 37 38 38 36 34 31 28 24 19 14 10 8 6 6 5 3 2 1 0 1 1 2 3 6 11 8 10 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 13 18 27 34
17 19 18 18 18 19 19 18 17 18 19 22 25 29 34 39 44 46 47 45 41 33 25 19 15 12 10 7 5 4 3 3 4 5 6 6 7 11 6 6 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 14 20 31 44
7 6 5 6 6 6 5 5 4 5 6 9 13 17 22 29 36 42 47 50 51 48 39 32 27 24 20 17 15 13 11 10 9 8 7 7 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 10 17 28 41
3 1 1 1 1 2 2 2 2 4 7 7 6 6 8 12 16 20 25 29 31 33 31 28 26 24 22 19 16 14 12 10 9 7 5 4 4 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 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 12 21 29
0 0 1 1 1 1 1 1 1 1 1 1 1 2 3 4 7 10 14 16 16 15 15 15 14 12 12 9 8 7 7 7 6 5 4 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 1 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 8 12 14 20 27
0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 7 8 8 8 7 7 7 6 5 6 5 4 3 4 4 4 4 3 3 3 1 0 1 1 1 3 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 15 28 28 33 38
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 5 4 4 5 5 5 4 3 3 2 2 2 3 3 3 3 3 2 1 0 1 1 2 3 1 0 0 1 2 1 1 1 1 1 0 0 0 0 0 1 2 2 1 1 2 2 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 0 0 0 0 0 0 0 0 0 0 0 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 3 7 14 26 36 50 59
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 5 6 5 3 3 3 3 2 2 1 1 1 1 2 2 2 1 1 0 0 0 0 1 1 2 2 2 3 1 1 1 1 1 1 0 0 0 0 0 1 1 2 3 2 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 9 12 13 27 54 89
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 6 5 2 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 9 11 10 14 28 53
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 5 3 2 1 2 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 7 9 8 9 13 29
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 3 2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 2 2 1 1 1 2 3 4 4 4 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 6 6 6 8 17 36
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 1 1 1 1 1 1 1 1 0 0 1 0 0 0 0 0 0 1 2 2 3 3 3 2 3 4 4 5 5 5 4 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 8 20 33
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 1 1 1 1 0 0 0 0 0 0 0 1 1 2 4 4 3 3 3 3 5 7 7 6 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 5 10 17 23
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 0 0 0 0 0 0 0 1 2 4 6 6 6 6 6 6 6 7 9 10 10 9 7 6 4 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 0 0 0 0 0 0 0 0 0 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 3 4 8 14 20
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 0 0 0 0 0 0 0 0 0 1 2 5 7 9 10 11 11 10 11 11 11 13 14 13 11 9 7 6 4 3 3 4 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 11 17
1 1 1 1 1 1 1 1 1 1 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 1 3 5 7 10 13 16 16 15 14 13 13 14 14 13 12 12 11 10 9 8 9 14 17 13 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 11
1 1 2 2 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 0 0 1 2 4 5 6 8 11 15 18 18 17 15 14 14 14 14 14 16 19 20 25 29 32 33 31 24 14 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6
1 2 2 2 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 4 5 6 6 7 8 11 13 16 18 18 17 16 16 17 18 19 20 23 27 32 35 38 41 40 36 30 19 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6
2 2 2 2 2 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 5 6 10 13 15 15 15 17 22 26 26 23 17 15 17 23 33 42 46 48 51 52 51 47 42 38 34 29 21 13 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8
2 2 2 1 1 1 0 1 1 1 1 1 0 0 0 0 1 0 1 1 1 2 4 5 6 5 5 11 13 13 13 13 16 26 33 37 40 41 41 38 32 22 28 35 45 58 69 69 67 64 60 52 43 35 27 19 13 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6
1 0 1 0 0 0 0 0 0 1 3 4 7 7 5 3 1 4 5 6 7 9 18 31 28 22 27 30 31 33 35 39 45 55 63 66 65 59 54 50 47 49 60 69 75 78 77 71 65 59 50 39 28 20 12 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3
0 0 0 0 0 0 0 1 5 12 15 14 17 18 19 20 21 25 22 20 18 20 28 37 34 32 42 48 50 51 55 62 68 74 79 81 78 71 74 79 86 96 101 98 91 80 69 58 48 38 27 15 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2
0 0 0 0 0 0 0 0 1 1 3 6 11 16 22 25 26 27 26 24 22 21 23 24 24 24 26 28 32 37 44 51 58 65 74 83 92 101 105 106 107 106 98 84 68 53 42 32 23 14 6 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
0 0 0 0 0 0 0 0 0 0 0 1 3 6 10 12 11 10 8 6 4 3 3 7 7 7 8 11 12 15 21 27 37 50 63 76 89 96 97 94 86 74 62 49 37 27 18 11 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 1 1 0 1 4 9 19 33 45 56 68 73 71 63 51 37 28 17 9 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 6 8 8 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 1 0 0 1 2 8 20 30 39 47 45 41 35 25 12 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 8 10 13 15 13 8 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 0 0 0 0 0 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 2 3 5 4 3 2 2 3 5 12 20 27 33 33 27 18 10 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 10 13 13 13 14 12 13 12 9 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0
0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 5 4 2 1 1 0 1 4 6 8 10 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 8 8 8 8 12 18 21 20 13 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 1 1 1 3 3 2 1 2 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 0 0 0 0 0 1 1 2 4 9 15 22 26 24 17 12 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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