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 8 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 6 6 7 7 8 8 8 9 9 9 9 8 8 8 8 7 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 9 9 10 10 10 10 10 9 10 10 10 10 10 10 10 9 9 9 9 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 nan
nan 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 7 7 7 7 6 6 6 6 7 7 7 6 6 7 7 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 8 8 9 9 9 9 9 8 8 7 7 6 6 6 6 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 10 10 9 9 9 10 10 10 10 10 10 10 10 9 8 8 8 8 9 9 9 9 9 8 8 9 9 9 9 8 nan
nan 8 8 7 7 6 6 6 7 7 6 6 6 7 7 8 8 9 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 6 6 6 6 7 7 6 6 7 7 8 8 8 8 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 8 9 9 10 10 9 8 8 7 7 7 6 6 6 6 6 7 7 7 7 7 8 8 9 9 9 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 nan
nan 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 10 10 10 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 8 9 9 9 9 10 10 10 9 9 8 8 8 7 7 7 6 6 7 7 7 7 7 7 7 6 6 6 6 6 7 7 8 9 9 10 9 9 8 8 7 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 9 9 9 nan
nan 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 9 8 8 9 9 9 8 8 8 8 8 8 7 7 8 8 8 9 9 8 8 8 8 9 9 9 10 10 10 10 9 9 8 8 8 7 7 7 6 6 7 7 7 8 8 7 7 7 7 6 7 7 7 7 8 9 9 10 10 9 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 nan
nan 7 7 7 8 9 9 9 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 10 9 9 8 8 8 8 8 7 7 8 8 9 9 8 8 8 9 9 9 9 9 10 10 10 9 9 8 8 7 7 7 7 7 6 7 7 7 7 7 7 7 7 6 6 7 7 7 7 8 9 9 10 10 9 9 8 8 8 8 8 7 7 8 8 8 8 8 9 9 10 11 10 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 9 10 10 10 10 11 12 nan
nan 8 7 7 8 8 9 9 8 9 9 10 10 10 10 10 10 9 9 9 10 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 8 8 9 9 8 8 9 9 9 9 9 9 8 7 7 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 8 9 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 9 8 8 9 11 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 13 nan
nan 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 7 7 6 7 7 7 7 7 7 7 7 8 8 8 8 8 9 8 7 8 9 9 9 9 8 8 7 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 7 7 7 6 7 7 9 10 10 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 6 5 5 8 11 12 12 12 13 12 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 8 8 9 nan
nan 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 9 9 10 10 9 9 8 7 6 6 7 7 8 8 8 8 8 8 7 8 8 8 9 8 8 8 8 9 9 9 9 8 7 7 7 6 6 6 6 6 6 6 6 7 7 6 6 6 6 7 7 7 7 7 7 7 8 9 10 10 9 8 8 8 8 8 8 8 8 9 9 10 10 10 9 8 7 5 3 2 4 7 9 9 11 13 16 15 12 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 9 6 4 4 nan
nan 7 8 8 8 8 8 8 8 7 7 7 7 6 6 7 8 9 9 10 10 10 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 7 7 7 6 6 6 6 5 5 6 6 6 7 7 7 7 6 7 7 8 8 8 9 9 10 11 11 11 10 9 8 7 7 7 8 8 8 8 9 9 9 10 10 9 9 8 7 5 3 2 4 7 7 7 9 12 16 17 15 12 10 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 8 4 1 0 nan
nan 7 8 9 9 9 8 7 7 6 6 6 6 7 8 8 9 9 9 9 10 10 9 8 8 8 8 8 8 8 7 6 6 6 6 7 7 7 7 7 6 6 6 7 6 6 6 6 6 6 5 5 5 5 5 5 6 7 7 7 7 7 6 6 7 8 9 10 11 12 13 15 15 15 13 11 9 7 6 6 7 8 8 8 8 9 9 9 10 9 8 8 7 6 4 3 4 6 7 7 7 7 10 14 16 16 15 11 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 8 5 2 0 nan
nan 7 7 7 7 8 7 6 6 5 6 6 7 8 8 8 8 8 8 8 9 9 9 8 8 8 8 7 7 6 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 6 6 7 8 10 11 13 15 17 18 19 18 16 14 11 10 8 7 7 7 7 8 8 8 8 9 9 9 8 8 7 6 5 3 3 4 6 8 8 8 8 10 13 16 17 15 11 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 7 7 8 8 9 9 8 7 5 nan
nan 6 6 6 7 7 7 6 6 6 6 7 8 8 8 8 7 7 7 8 8 9 9 8 8 8 7 7 7 6 6 6 7 7 6 6 6 6 5 5 4 4 4 4 4 4 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 8 9 11 12 13 15 17 19 19 19 18 16 15 13 11 10 9 8 7 7 7 8 8 8 8 8 8 7 7 6 5 3 2 3 5 7 8 9 9 10 11 13 16 17 15 11 8 7 7 8 8 8 9 9 9 9 8 8 8 9 9 9 9 9 8 8 9 10 11 11 11 9 nan
nan 6 6 7 8 8 7 7 7 7 7 8 7 7 7 6 6 6 6 7 7 8 8 8 8 7 7 7 7 7 7 8 7 7 7 6 6 5 5 5 4 4 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 9 11 12 13 14 15 16 17 17 17 16 16 15 14 13 12 11 10 8 7 7 7 8 8 7 7 6 6 7 7 6 5 3 3 4 5 7 8 8 9 10 11 13 16 17 15 12 8 6 7 7 8 8 9 9 9 9 8 9 9 9 9 9 9 10 9 9 10 11 13 14 13 10 nan
nan 7 7 8 8 8 8 7 7 7 7 6 6 6 5 5 5 5 5 6 7 7 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 6 6 6 7 7 7 7 7 7 7 7 6 6 7 7 8 9 10 11 12 13 14 14 14 14 14 14 14 14 14 13 13 13 12 12 11 10 8 7 7 6 7 7 6 6 5 5 6 7 7 6 5 5 6 7 8 8 8 8 9 10 12 15 17 16 14 10 7 6 7 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 13 14 13 10 nan
nan 8 8 8 8 8 8 7 7 6 5 5 4 4 4 4 4 5 6 6 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 8 8 8 8 8 8 7 7 8 9 10 12 13 14 15 15 15 15 14 14 13 12 11 12 12 12 12 12 12 12 11 11 10 9 8 7 6 6 6 6 5 4 4 5 6 7 7 7 7 8 8 8 8 8 8 8 9 11 14 16 17 16 11 8 6 7 9 10 10 9 8 9 9 9 9 9 10 11 10 10 10 10 10 11 12 12 12 9 nan
nan 8 8 8 8 8 7 7 6 5 5 4 4 5 5 5 5 6 7 7 7 8 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 10 11 11 11 12 13 15 16 16 17 17 17 16 15 15 14 12 11 10 10 10 10 11 11 11 11 11 11 10 10 9 8 7 6 6 6 6 5 4 4 4 5 6 7 7 8 9 9 8 8 8 7 8 9 11 12 15 17 16 12 8 6 7 9 10 10 9 9 9 10 11 10 10 11 11 11 10 10 10 10 10 11 11 10 7 nan
nan 8 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 8 8 8 7 7 8 8 8 8 7 7 6 6 6 7 9 11 13 13 14 14 15 16 17 17 18 19 19 18 17 16 15 15 14 14 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 7 7 7 6 5 4 4 4 4 5 6 7 8 8 8 8 8 8 7 8 9 10 12 14 17 16 13 9 7 8 10 11 10 9 9 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 10 8 nan
nan 7 6 5 6 6 6 7 7 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 9 9 9 9 8 8 7 7 7 8 10 12 14 16 17 17 18 18 18 19 18 18 18 17 16 15 13 13 12 12 12 13 13 12 12 11 10 10 9 9 9 9 9 9 10 10 9 9 8 8 8 7 7 6 5 4 4 5 7 8 8 8 8 8 8 8 7 7 8 8 10 12 15 17 16 13 10 8 9 10 10 10 10 10 10 10 11 10 10 11 10 10 11 11 11 10 10 10 11 11 11 nan
nan 6 6 6 6 6 6 6 7 8 9 8 7 8 9 9 9 8 8 8 8 8 9 9 9 9 8 8 8 9 9 10 10 11 11 11 10 10 10 10 11 12 13 14 15 16 17 17 17 17 17 17 16 16 15 14 14 13 12 11 11 10 10 11 12 12 13 12 12 11 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 6 6 5 5 6 8 8 8 7 6 7 7 7 7 7 8 9 10 12 16 18 16 12 9 8 9 9 9 9 10 10 10 9 10 10 11 11 11 11 11 12 12 11 11 11 12 12 12 nan
nan 8 8 8 8 8 7 6 7 8 8 7 6 6 7 8 9 9 8 8 8 9 9 9 10 10 10 10 10 10 11 11 12 12 12 13 13 12 13 13 14 15 15 15 15 15 14 14 14 14 14 13 13 12 11 11 11 11 11 11 10 10 10 11 11 12 12 12 11 11 10 9 9 9 9 9 10 10 9 9 8 8 8 8 8 8 8 7 6 6 6 6 5 4 4 5 6 7 6 6 7 7 9 10 13 16 17 15 12 9 8 9 9 9 8 8 8 9 9 9 10 10 11 10 11 11 12 12 12 11 11 12 12 12 nan
nan 11 11 11 11 10 9 8 7 8 9 8 6 6 6 7 8 9 8 8 8 9 10 10 11 11 11 11 11 12 12 12 13 13 13 14 14 14 14 14 15 15 14 14 13 12 12 12 12 12 12 12 11 10 9 9 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 10 10 9 9 9 8 8 8 9 9 9 8 7 6 4 3 2 2 3 5 6 6 6 6 6 7 9 11 15 17 17 15 11 9 9 9 9 9 8 8 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 nan
nan 11 11 11 12 11 11 10 9 10 10 10 9 8 8 8 9 9 9 9 9 10 11 12 12 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 13 12 11 11 10 10 11 11 12 12 11 10 9 8 8 9 10 11 11 12 12 12 12 12 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 9 9 9 9 8 7 6 5 3 3 4 5 6 6 6 5 5 6 7 9 12 16 18 17 13 9 8 9 9 9 8 8 8 9 9 9 9 9 10 10 10 9 10 10 10 10 10 10 10 10 11 nan
nan 9 10 10 11 11 11 11 11 10 11 11 10 10 10 10 10 10 10 11 12 12 13 13 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 12 12 11 10 10 10 10 10 10 11 11 11 10 9 8 8 9 9 10 10 11 12 13 13 12 11 9 9 9 9 9 8 8 8 8 8 9 10 10 10 9 9 9 9 9 9 9 9 8 7 6 5 6 6 7 7 6 5 5 5 6 7 10 13 16 17 14 10 8 8 10 10 9 7 7 9 9 9 9 9 10 10 11 11 10 10 10 10 9 9 10 10 10 10 nan
nan 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 14 14 15 15 15 15 14 14 13 13 13 13 12 12 12 12 13 13 12 12 12 11 10 10 9 9 9 10 10 10 10 10 9 9 8 8 8 9 9 9 11 12 13 14 14 12 9 8 8 8 8 8 7 7 7 8 8 9 10 10 10 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 6 5 4 4 5 7 10 13 15 14 11 9 9 10 11 10 8 7 7 8 9 10 10 9 10 11 11 11 11 10 10 9 8 8 9 9 9 10 nan
nan 8 8 9 9 9 9 9 9 10 10 10 11 11 11 11 11 12 13 14 14 15 15 15 15 14 14 13 13 12 12 12 11 11 11 11 12 12 12 12 12 11 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 12 13 14 14 12 10 9 8 8 8 8 7 7 7 8 8 9 10 10 10 10 10 10 10 9 9 9 9 9 8 7 7 7 7 7 6 5 4 4 5 7 9 12 12 11 9 9 10 11 11 9 7 6 7 8 9 10 10 10 10 10 10 10 9 9 9 8 7 8 8 9 9 9 nan
nan 9 9 9 9 9 8 8 9 10 11 12 13 13 13 13 13 13 13 14 14 14 14 13 13 13 13 12 12 12 11 11 10 10 10 11 11 11 12 12 11 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 10 11 13 14 14 12 11 10 9 8 8 8 8 8 9 9 10 10 10 11 11 11 11 10 9 9 9 9 9 9 8 7 7 7 7 7 6 5 4 5 6 7 9 10 10 9 9 10 11 11 9 8 7 7 7 9 10 11 11 11 11 11 10 10 9 8 8 7 7 7 8 8 9 9 nan
nan 9 9 9 8 8 8 9 11 13 14 16 16 16 16 15 14 13 13 13 12 12 12 12 12 12 12 12 11 11 10 10 10 10 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 11 13 13 13 12 11 10 10 9 8 8 9 10 11 11 12 11 11 11 12 12 11 10 9 9 9 9 9 9 9 8 7 6 7 7 7 6 6 6 6 7 8 9 9 9 10 11 11 10 9 9 8 8 8 9 10 11 11 11 11 12 12 11 10 9 8 8 8 8 8 8 8 8 nan
nan 9 9 8 8 8 8 10 13 15 17 18 18 17 17 16 15 14 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 9 9 10 11 12 12 12 12 11 10 9 8 8 9 10 11 13 15 15 14 13 12 12 12 12 11 11 10 10 10 10 10 9 8 7 6 7 7 8 7 7 6 6 7 8 9 9 10 11 11 10 10 10 10 9 9 9 9 10 10 11 11 11 12 13 13 12 10 10 10 10 10 9 9 8 7 nan
nan 9 9 8 8 8 9 12 14 16 17 17 16 16 16 16 15 14 12 11 11 10 10 10 11 11 11 11 11 11 10 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 9 10 11 11 12 12 12 11 11 10 9 9 9 10 11 13 16 19 18 17 15 13 12 12 12 12 12 11 11 11 10 10 10 9 8 7 7 7 8 8 7 6 6 7 7 8 10 11 12 11 10 10 10 10 10 9 9 9 10 10 10 10 10 11 12 12 11 10 10 11 11 11 11 11 10 9 nan
nan 8 9 8 8 9 11 14 15 16 15 15 14 15 15 16 15 14 13 12 11 11 10 10 11 11 11 11 10 11 11 11 12 12 12 11 11 10 10 10 10 10 10 9 9 8 8 8 8 8 7 7 7 7 7 7 7 8 10 10 11 11 11 11 11 11 11 10 10 10 10 11 12 15 18 19 19 18 17 15 14 13 13 12 12 11 11 11 10 10 10 10 8 7 7 7 8 8 7 7 7 7 7 8 9 10 11 11 10 10 10 10 10 9 10 10 11 11 10 10 10 10 11 11 11 10 11 12 12 12 13 14 13 12 nan
nan 9 9 9 10 12 14 15 15 15 14 13 14 14 15 15 15 13 12 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 12 11 11 10 10 10 10 10 10 9 9 9 9 8 8 7 7 7 7 7 7 7 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 13 14 16 17 17 18 18 16 15 14 13 13 13 12 11 10 10 10 10 10 9 8 7 7 8 8 8 7 7 7 7 8 8 9 10 10 9 9 9 9 9 9 9 10 11 11 11 10 9 10 10 10 10 10 11 12 12 13 14 14 14 13 nan
nan 10 10 11 13 14 15 15 14 13 13 13 14 14 15 14 13 12 11 11 11 11 11 10 10 10 10 10 10 10 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 9 9 8 7 6 6 6 7 7 8 9 9 10 10 11 11 11 11 11 11 12 12 12 11 11 11 11 12 14 15 15 16 16 16 15 15 14 14 14 12 11 10 9 9 10 10 9 8 8 7 8 9 9 8 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 10 9 9 9 10 11 11 12 12 12 12 12 12 11 nan
nan 12 13 14 15 15 15 13 13 12 12 13 13 13 13 13 12 11 10 10 10 10 10 9 9 10 10 10 10 10 11 11 12 12 12 11 10 10 10 10 10 10 9 9 9 10 10 10 9 8 7 6 6 7 7 7 8 9 10 10 10 10 11 11 12 12 12 12 13 12 11 10 10 11 12 13 14 15 15 14 14 14 14 15 14 13 12 10 9 9 9 10 10 9 8 8 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 10 9 9 10 10 10 11 11 10 10 9 9 8 8 nan
nan 15 15 16 16 15 13 12 11 12 12 12 13 13 12 11 10 9 9 9 10 10 9 9 9 9 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 8 7 6 6 7 8 9 9 10 10 11 11 12 12 12 12 12 13 13 12 11 10 10 11 12 13 13 13 13 12 12 12 14 15 15 14 12 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 11 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 7 7 6 nan
nan 16 16 16 15 14 13 12 11 12 12 12 12 12 11 10 9 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 9 9 8 8 8 9 9 10 11 10 9 7 6 6 7 8 9 10 11 11 11 12 13 13 12 11 12 13 13 12 11 10 10 10 11 12 12 13 12 11 10 11 13 14 15 15 13 12 11 11 11 11 12 12 11 10 9 9 9 8 8 8 9 9 10 10 9 9 10 11 11 11 11 10 10 10 10 9 8 8 9 9 10 10 10 10 9 8 8 7 7 6 5 nan
nan 15 15 15 14 13 13 12 12 12 12 12 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 8 8 8 8 9 10 10 10 9 7 6 6 6 8 9 10 11 11 11 12 12 12 12 11 11 12 12 11 11 10 10 9 10 11 12 12 12 10 10 10 12 13 14 14 13 13 13 13 12 13 13 13 12 11 10 10 10 9 9 9 10 10 11 10 9 8 8 8 9 10 11 11 12 11 10 8 7 8 8 9 9 9 9 9 9 8 8 7 6 5 5 nan
nan 14 14 14 14 13 12 12 11 11 11 11 10 10 10 10 11 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 9 9 9 10 10 10 9 8 6 6 6 6 7 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 9 9 10 10 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 13 13 13 12 11 11 11 11 10 10 11 12 12 12 10 8 6 5 5 6 8 10 12 13 11 10 8 8 8 9 9 9 9 9 8 8 8 7 7 6 5 nan
nan 13 13 12 12 12 11 11 10 10 9 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 12 12 12 12 11 10 10 11 11 10 9 7 6 6 5 6 6 7 8 9 10 10 9 9 9 9 10 10 11 11 11 11 11 11 10 9 9 9 9 10 10 11 12 13 13 12 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 13 13 12 11 8 6 4 4 5 9 12 13 13 11 10 9 9 8 9 8 8 8 8 8 7 7 6 5 3 nan
nan 13 12 12 11 11 10 10 9 9 9 9 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 12 12 12 12 12 12 11 11 10 9 8 7 6 6 5 6 7 8 9 10 10 10 10 9 8 9 10 11 12 12 11 11 11 11 11 10 9 9 8 9 9 10 11 12 13 13 13 12 11 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 11 12 12 13 13 14 13 11 9 8 8 10 11 12 12 11 10 9 9 8 8 8 7 7 7 7 5 3 2 1 0 nan
nan 14 13 12 11 10 10 9 9 9 9 9 9 10 11 11 11 10 10 10 9 9 9 9 9 9 10 10 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 10 9 8 8 7 6 6 6 6 7 9 10 11 12 11 11 9 8 9 11 13 14 13 12 11 11 11 11 11 10 9 9 9 9 9 10 11 12 13 14 14 12 11 10 9 9 9 9 9 8 7 7 7 7 7 8 8 9 11 12 12 13 13 14 14 13 14 14 14 13 11 10 9 9 9 8 8 8 7 6 6 6 4 2 -0 -1 -0 1 nan
nan 14 13 13 11 10 10 9 9 9 9 9 10 11 12 12 11 10 10 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 10 10 9 8 8 7 7 6 6 6 7 8 9 11 12 13 12 11 9 8 10 11 13 14 13 13 12 11 11 11 11 11 11 10 10 10 10 10 10 11 12 13 13 13 12 11 10 10 9 8 7 6 6 6 6 6 6 7 7 9 10 11 12 11 11 12 12 14 16 17 16 15 12 9 8 8 8 8 8 6 5 4 3 2 1 -0 0 2 5 8 nan
nan 13 13 12 12 10 10 9 9 8 8 9 10 12 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 7 7 7 7 7 7 7 8 10 12 13 14 12 10 8 8 9 10 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 11 12 13 13 13 12 10 8 7 7 6 6 6 7 7 8 8 9 10 11 12 11 10 9 10 11 12 14 15 16 16 14 10 7 7 7 7 5 3 1 1 0 0 1 3 6 10 13 15 nan
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nan 12 13 13 12 12 10 9 8 8 8 9 11 12 12 12 11 11 11 11 11 11 10 10 9 9 9 9 9 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 7 8 9 10 11 12 12 11 9 9 9 10 11 11 11 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 11 12 13 13 14 12 10 8 6 6 6 8 9 10 11 12 12 12 13 13 12 10 9 11 12 13 13 12 12 12 13 13 12 10 8 6 4 4 4 5 8 10 13 16 20 23 22 20 17 nan
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nan 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 11 10 9 8 8 9 10 11 11 11 10 9 9 9 9 10 10 11 11 11 10 10 11 11 11 11 11 11 11 11 11 10 10 9 8 7 6 5 5 4 3 3 3 6 10 13 15 15 15 15 14 13 12 11 11 10 10 10 10 11 11 11 10 9 8 7 7 8 9 10 11 11 9 8 7 6 6 7 7 7 8 9 9 10 11 10 8 7 7 8 11 12 13 13 14 15 17 19 20 20 19 15 12 11 11 11 10 9 8 8 9 9 10 10 10 nan
nan 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 11 10 9 8 8 9 10 11 11 10 10 9 9 9 9 10 10 11 11 11 10 11 12 12 12 11 12 12 12 12 11 11 10 9 8 7 7 7 6 5 4 3 2 2 4 7 10 11 12 12 13 13 12 12 11 10 9 9 9 9 9 10 9 9 8 7 7 7 8 10 12 13 13 13 11 10 8 7 7 8 8 9 10 11 11 8 5 3 4 8 11 13 14 15 15 16 17 19 20 20 17 12 9 8 9 10 9 9 8 8 9 9 9 9 10 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 9 9 9 9 10 11 11 10 10 10 9 8 9 9 10 11 11 10 10 11 12 12 12 12 12 13 13 13 12 12 11 9 9 8 8 8 7 6 5 5 4 3 4 5 7 8 9 10 11 12 12 12 11 10 9 9 9 8 8 8 8 8 8 7 7 7 7 7 9 10 11 11 10 9 8 7 7 8 8 9 10 11 11 9 6 4 5 8 10 12 14 16 16 17 18 19 19 19 16 11 8 7 8 9 10 10 9 9 9 9 9 9 9 nan
nan 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 9 8 9 10 11 11 11 10 10 11 11 11 12 12 13 13 13 13 13 12 11 9 9 8 8 7 7 6 6 5 5 5 5 5 6 7 8 8 10 11 11 11 11 10 9 9 8 8 8 7 7 7 7 7 7 7 5 4 3 3 4 4 4 5 6 7 7 8 9 9 10 11 11 10 9 7 7 8 10 12 16 19 20 21 20 20 19 17 14 11 8 7 8 10 10 11 10 10 9 9 9 9 10 nan
nan 11 11 11 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 9 8 8 9 10 12 11 11 11 11 11 11 11 12 12 12 13 13 14 14 13 12 10 9 8 7 7 7 6 6 6 6 5 5 5 6 7 8 9 10 11 10 10 9 9 8 8 8 8 8 7 7 7 7 7 7 7 5 3 2 0 -0 0 2 4 5 7 8 9 9 9 9 10 11 12 12 11 9 9 10 14 19 23 24 24 22 19 17 14 12 9 8 8 9 10 11 12 12 11 11 10 10 10 10 nan
nan 11 11 11 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 10 10 10 11 11 12 12 12 12 12 12 13 14 14 13 11 10 8 8 8 7 7 7 7 7 6 7 7 7 8 9 9 10 11 10 9 8 8 8 8 8 8 8 9 9 8 8 8 8 8 7 6 5 4 3 4 5 6 7 8 8 9 9 9 9 10 11 12 13 12 11 10 12 16 21 25 26 25 20 15 12 9 8 8 7 8 9 10 12 13 13 12 12 12 11 11 12 nan
nan 10 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 11 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 13 14 15 14 13 11 10 9 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 10 9 8 8 8 8 8 9 10 11 12 13 13 12 11 10 9 9 8 8 7 8 8 8 9 9 9 9 9 10 10 10 10 12 13 13 13 13 15 18 22 24 24 20 15 11 7 5 6 7 7 7 8 9 11 12 13 13 13 12 12 12 12 nan
nan 10 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 12 12 12 11 11 10 10 10 11 12 12 11 10 9 8 9 10 11 11 12 12 12 13 13 13 12 12 12 12 13 14 15 14 13 11 10 10 9 9 9 9 9 9 9 8 8 8 9 9 10 10 9 9 9 9 9 9 10 11 12 13 13 14 14 14 14 13 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 13 13 14 16 19 22 23 21 18 14 11 8 6 5 6 7 7 7 8 8 9 10 11 12 12 12 12 12 12 nan
nan 10 12 12 12 12 12 11 11 12 12 12 11 11 11 11 11 11 11 11 11 12 12 11 11 10 10 11 12 12 12 10 8 7 7 8 9 10 11 12 12 13 13 14 14 14 13 12 12 12 13 14 14 14 13 12 12 11 11 10 10 9 9 9 8 8 8 8 9 9 9 9 10 10 10 10 11 12 14 14 14 12 10 10 10 11 11 10 9 9 8 8 9 9 9 9 9 9 9 10 10 11 11 12 12 13 14 16 19 22 23 22 18 14 11 10 9 8 8 8 9 9 9 9 9 9 10 10 10 11 11 11 11 11 nan
nan 11 12 13 13 13 12 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 10 11 11 10 8 7 6 7 8 9 10 11 12 12 13 13 14 14 15 15 14 14 13 13 13 13 13 13 13 13 13 12 11 10 10 9 9 8 8 8 8 9 9 10 10 11 11 10 10 11 12 14 14 14 12 8 7 6 6 6 6 6 6 7 7 7 8 8 9 9 9 10 10 11 12 12 13 13 15 17 19 21 22 21 17 13 11 10 11 11 11 11 11 12 12 11 11 11 11 10 10 10 10 11 10 10 11 nan
nan 12 13 13 14 13 12 12 11 11 12 12 12 11 11 11 11 11 11 11 11 12 12 12 11 10 9 9 10 10 10 9 8 8 8 9 10 11 11 11 12 12 13 13 14 14 15 15 15 14 14 13 13 13 13 14 14 14 13 12 12 10 10 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 11 12 13 13 11 10 8 7 6 6 6 7 7 7 7 8 8 9 9 10 10 11 12 12 13 13 14 16 18 20 21 19 16 13 10 9 9 10 10 11 11 11 12 12 12 12 12 11 11 10 10 10 10 11 11 11 nan
nan 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 13 12 12 11 10 10 10 10 11 11 11 11 11 11 12 12 12 11 11 11 12 12 13 13 13 14 14 14 14 13 13 13 13 13 13 14 14 14 13 13 12 11 10 10 9 9 9 9 9 10 10 11 11 11 10 9 9 9 11 13 13 14 14 13 12 11 10 9 9 9 9 9 9 10 10 11 11 12 12 12 13 14 15 16 17 17 17 14 11 10 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 12 12 12 12 12 12 11 11 12 12 12 12 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 12 13 13 13 13 14 14 13 13 12 11 11 11 11 11 11 11 11 11 12 13 13 13 12 12 12 12 12 13 13 14 15 15 15 14 12 11 10 10 10 10 10 10 10 11 11 11 11 10 9 8 9 11 12 14 15 16 15 14 13 13 12 13 12 12 12 12 12 13 13 13 13 13 14 15 15 16 15 13 11 8 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 nan
nan 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 10 11 12 13 13 14 14 14 14 14 13 13 12 12 11 11 11 10 9 9 8 9 11 12 12 12 12 11 11 11 11 12 12 13 14 15 15 15 14 13 12 11 11 11 11 11 11 11 11 12 12 11 10 9 8 9 10 12 13 14 14 14 16 17 17 17 17 16 16 16 16 16 16 16 16 17 17 16 16 14 11 9 6 6 6 7 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 nan
nan 12 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 8 8 9 11 12 13 13 13 13 12 12 12 12 12 12 12 12 12 11 10 8 7 7 8 10 11 12 12 11 11 11 11 11 11 11 12 13 14 14 15 15 14 14 13 12 12 12 11 11 11 11 11 11 11 11 10 9 9 9 11 12 12 13 15 17 19 19 19 19 20 20 20 20 20 20 20 21 21 20 18 14 10 7 5 5 6 8 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 nan
nan 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 8 8 9 10 12 12 12 12 11 10 9 9 10 10 10 11 12 12 11 10 8 7 8 9 11 12 12 12 11 11 11 11 11 11 12 12 12 12 13 14 14 15 15 14 14 13 12 12 12 11 11 10 10 10 10 10 10 10 10 11 11 11 12 13 15 16 16 17 18 19 20 20 20 21 21 21 21 20 19 16 11 7 6 6 7 9 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 12 12 nan
nan 14 13 13 12 12 12 12 12 12 12 12 11 11 11 10 11 11 11 11 10 9 9 9 9 9 9 10 11 12 12 11 9 8 8 8 8 8 8 9 10 11 11 10 9 8 9 11 12 13 12 12 11 11 11 11 11 12 12 12 11 11 12 12 13 14 14 14 14 13 13 12 12 11 11 10 10 10 10 11 11 11 11 10 10 9 10 12 13 13 13 14 15 17 17 17 17 16 16 16 16 15 14 12 10 8 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 10 10 10 11 11 12 12 nan
nan 13 13 12 11 11 12 13 13 13 13 12 12 11 11 11 11 10 10 10 9 8 8 8 8 9 10 11 12 12 11 10 9 8 8 7 7 6 6 6 8 9 10 11 11 11 12 12 13 13 12 11 11 11 11 11 11 12 12 12 11 11 11 11 12 13 13 14 14 14 13 13 12 12 11 11 11 11 11 11 11 11 11 9 8 7 8 10 11 12 13 13 14 15 15 15 13 12 10 10 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 12 12 nan
nan 12 12 11 11 11 12 13 13 13 13 13 13 12 12 11 10 10 9 8 7 7 8 9 9 10 11 12 13 13 12 10 8 8 7 6 6 5 4 5 6 8 10 12 13 13 13 13 13 12 11 11 10 10 10 11 12 12 12 12 12 12 11 11 12 12 12 13 14 14 14 13 12 12 12 12 12 12 11 11 11 11 10 9 7 7 7 8 9 11 12 13 14 14 13 13 12 10 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 10 11 11 12 12 nan
nan 11 11 10 10 11 11 12 12 12 13 13 13 13 12 11 10 9 8 7 8 8 9 10 10 10 11 13 14 14 13 10 8 7 6 6 6 5 5 5 6 8 10 13 14 14 14 14 13 12 11 11 10 10 10 11 12 12 12 12 12 12 12 12 12 12 12 13 14 14 14 13 12 12 12 13 12 12 11 11 11 11 10 9 8 7 7 8 9 10 11 12 12 12 11 11 11 10 10 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 nan
nan 10 10 11 11 11 11 11 11 12 12 12 12 12 12 11 10 9 8 8 9 10 10 11 10 10 11 12 14 15 14 11 8 7 6 7 8 7 7 7 8 9 11 13 14 15 15 14 12 12 11 11 11 10 10 11 11 11 11 12 12 12 12 13 13 13 13 13 13 14 13 12 12 12 12 12 12 11 11 11 11 10 10 9 8 8 9 10 10 10 10 10 9 9 9 9 9 10 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 12 12 nan
nan 11 11 12 12 12 12 11 11 11 11 12 12 12 12 11 9 8 8 9 10 11 11 11 11 11 11 12 14 15 15 12 9 8 8 9 10 9 9 9 9 11 12 14 15 15 14 13 12 12 12 11 11 11 11 10 10 11 11 12 12 12 12 12 12 13 13 13 13 13 12 11 11 11 12 11 11 11 11 10 10 10 10 9 9 9 10 12 12 11 10 8 7 7 7 8 8 9 10 11 11 11 11 10 10 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 nan
nan 12 12 13 14 14 13 13 12 12 12 12 12 12 11 10 9 8 8 9 11 12 12 11 11 11 11 12 14 15 14 13 11 10 10 10 9 9 9 10 11 13 14 15 15 14 13 12 12 12 12 11 11 11 11 10 10 10 11 11 11 11 11 12 12 12 13 13 13 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 10 12 12 11 8 7 7 6 7 7 8 9 10 11 11 11 11 10 11 11 11 11 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 nan
nan 12 13 14 15 15 15 14 13 12 12 12 12 12 11 10 9 8 9 10 11 12 12 12 11 11 11 11 12 12 12 12 12 11 10 9 9 9 9 11 13 14 15 14 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 9 8 7 7 7 7 7 8 9 10 11 11 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
3 3 2 2 2 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 3 3 3 3 3 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 5 4 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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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6 5 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 15 11 5 2
8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 9 6 2
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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 1 2 4 7 11 11 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 16 26 32
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 2 2 5 10 15 20 22 20 12 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 2 9 15 18
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 1 3 4 8 14 23 30 36 34 28 18 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
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 1 3 8 14 17 22 29 36 42 45 41 32 20 8 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 1 1
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0 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 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 5 9 15 20 24 29 35 41 47 57 62 63 61 58 59 62 65 66 63 52 37 24 15 9 6 4 4 4 3 4 6 6 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 2 6 11 13 12 12 5 2 0 0 0 0 0 0
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4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 10 9 9 12 15 13 10 9 10 9 8 7 10 16 21 24 27 30 36 43 52 64 74 80 82 82 86 89 88 83 74 64 56 48 41 36 30 24 19 16 13 14 13 12 17 17 14 10 6 6 6 7 9 10 10 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 1 4 7 10 14 15 14 11 9 11 12 10 6 2
20 13 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 15 20 24 24 25 29 34 32 32 34 35 35 33 30 36 46 54 59 64 68 71 74 78 78 77 73 68 65 64 61 56 52 48 46 45 43 40 33 23 15 10 10 8 6 6 7 10 12 14 13 10 6 6 8 12 14 13 10 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 1 4 8 12 13 13 11 9 12 12 10 7 3
50 43 34 26 23 20 14 7 1 0 0 0 0 0 0 1 2 7 16 24 31 38 42 45 49 54 61 59 60 61 60 59 59 58 60 67 75 84 90 92 88 81 77 69 59 49 41 35 32 31 30 31 34 37 38 38 38 36 31 25 19 15 11 10 9 10 10 12 13 12 10 7 8 10 14 16 15 11 7 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 2 6 10 12 11 9 6 8 8 8 7 4
68 63 60 56 55 50 40 26 13 8 6 5 3 3 3 3 6 17 30 40 46 53 58 63 68 74 78 79 78 77 76 77 80 80 82 86 90 93 93 88 78 65 54 43 31 22 18 14 14 14 15 19 25 28 28 25 25 24 23 22 20 18 14 11 8 6 6 8 9 9 7 6 8 11 15 18 16 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 1 3 7 9 9 8 10 10 7 4 4 3
67 78 89 79 73 71 69 65 58 50 41 33 24 20 19 23 34 52 61 64 66 69 74 78 82 84 83 81 82 85 89 94 94 91 91 92 92 85 77 67 55 41 29 19 12 8 6 5 4 4 5 10 13 16 17 15 16 18 18 19 19 17 16 13 8 3 3 4 4 3 3 2 5 9 13 18 18 15 11 7 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 4 4 4 5 6 4 2 1 3 3
73 86 91 72 64 64 68 76 78 80 78 74 71 68 66 72 83 85 88 88 87 86 86 87 88 89 90 89 90 93 97 97 94 86 79 73 69 62 54 44 32 19 10 5 2 1 1 0 0 0 1 4 5 7 7 6 6 7 9 12 16 18 20 19 17 12 8 4 3 3 5 4 5 7 11 15 17 17 13 9 6 3 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 1 2 4 5 6 5 2 2 2
46 40 34 34 42 54 68 80 90 98 103 106 109 111 112 114 117 112 109 104 97 89 83 82 84 87 89 91 92 93 92 85 78 70 63 56 50 44 34 24 13 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 6 12 17 21 23 23 19 13 8 7 9 13 11 10 9 9 12 14 15 13 9 6 4 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 1 2 3 4 3 2 3 2 1 1
37 29 26 27 31 39 50 62 72 85 98 110 118 124 127 127 123 117 111 102 91 79 73 75 78 81 81 81 78 74 69 62 59 56 53 48 43 32 19 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 9 15 21 23 20 16 14 14 15 17 16 14 12 11 12 12 12 11 9 6 4 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 1 2 2 1 2 2 2 1
54 49 45 40 35 32 35 46 65 87 104 115 118 124 124 122 117 110 100 88 78 73 71 71 69 66 62 59 55 50 48 47 47 43 33 21 15 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 8 13 16 16 16 17 17 16 14 14 12 12 13 12 12 14 14 13 10 7 6 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 1 0 0 1 2 3 2 2 2
75 73 68 58 51 47 48 58 87 117 129 123 107 109 106 103 99 92 82 76 72 68 63 59 56 54 50 53 48 42 38 36 33 25 15 6 2 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 2 4 7 8 8 8 8 7 6 7 6 6 7 13 14 16 17 17 14 13 10 6 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 1 1 1 1 0
93 88 81 69 63 59 63 79 113 140 135 109 83 79 76 74 73 74 73 66 58 51 43 41 46 49 48 46 39 31 24 20 17 12 7 3 1 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 1 1 1 2 1 1 1 1 2 2 2 2 1 6 11 15 20 22 17 14 13 11 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
102 91 81 71 72 72 83 106 136 135 109 75 51 47 46 46 49 56 62 58 51 43 38 39 42 43 41 36 29 22 18 19 15 12 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 4 2 1 0 0 1 2 2 3 4 3 2 3 4 8 14 20 26 28 20 16 16 16 12 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
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