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 10 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 6 6 7 7 8 8 8 8 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 6 6 5 5 6 6 6 6 7 7 7 7 6 6 7 7 8 8 9 10 11 13 14 14 14 12 11 10 10 9 9 8 8 7 7 8 8 8 8 8 9 9 9 8 8 8 8 8 9 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 nan
nan 9 8 8 8 8 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 6 6 6 6 5 5 5 6 6 7 7 8 8 8 8 8 8 8 8 9 10 11 13 14 15 15 14 13 12 11 10 10 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 nan
nan 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 8 8 9 9 9 9 9 9 10 11 12 13 14 15 15 15 14 13 12 11 11 10 10 9 8 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 9 9 9 8 8 8 9 10 10 10 10 10 10 10 9 9 9 nan
nan 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 8 9 9 10 10 10 10 11 13 14 16 16 16 16 15 13 11 10 10 10 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 10 10 9 9 8 8 9 9 10 10 10 10 10 10 9 9 9 nan
nan 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 8 8 8 8 7 7 7 6 6 7 7 7 7 8 8 8 8 9 10 11 11 12 12 13 14 15 17 17 17 16 15 13 11 10 9 9 9 10 10 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 nan
nan 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 6 7 7 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 7 7 8 9 9 10 10 11 12 13 14 14 15 16 16 16 16 16 15 14 13 12 11 10 10 9 9 10 10 10 9 9 9 8 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 8 7 7 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 9 10 10 10 9 9 9 9 9 10 10 10 9 8 nan
nan 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 8 8 7 7 6 6 6 6 6 7 8 9 11 12 13 14 15 15 15 16 16 16 16 16 16 15 14 14 13 12 11 10 10 10 10 10 10 10 10 10 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 9 11 11 11 11 10 9 8 8 8 8 8 8 9 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 8 6 5 nan
nan 7 7 7 7 7 7 8 8 8 7 7 7 8 8 9 9 8 7 7 7 7 8 8 8 8 7 7 7 8 7 7 8 8 8 8 8 8 8 8 8 8 7 6 6 5 5 6 6 8 9 11 12 13 14 15 15 16 17 16 16 16 15 15 14 14 13 13 12 12 11 11 10 10 10 10 10 10 11 11 10 10 10 9 9 8 7 7 7 7 7 7 8 8 8 8 9 9 11 12 12 12 12 11 10 9 9 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 7 4 3 nan
nan 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 5 5 5 5 6 7 9 11 13 14 16 16 16 16 16 15 15 15 14 13 13 12 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 10 12 12 12 11 10 9 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 7 5 4 nan
nan 8 8 9 9 9 9 9 9 9 9 8 8 8 9 8 8 7 8 8 9 10 10 9 8 8 8 8 7 8 8 8 9 8 8 7 7 6 6 5 5 5 5 5 6 8 9 11 12 14 15 16 16 16 15 14 14 13 12 12 11 11 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 9 9 8 7 7 7 8 8 9 8 8 7 7 7 6 6 6 8 11 13 13 11 10 8 8 9 9 9 9 9 10 9 9 9 10 10 10 10 9 9 9 8 8 8 9 9 8 8 7 nan
nan 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 7 7 6 6 5 4 4 5 5 7 8 10 11 13 14 15 15 15 15 14 13 12 12 11 11 10 10 9 9 9 9 9 9 9 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 9 8 7 7 7 8 8 8 7 7 7 7 6 4 4 5 7 11 13 13 11 8 8 9 9 9 9 9 10 9 9 9 10 11 10 10 10 10 9 9 8 8 9 9 10 10 9 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 6 6 6 7 7 8 8 7 7 7 7 8 8 8 8 7 6 6 5 4 4 4 5 6 8 10 12 14 15 16 16 15 15 14 13 12 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 7 7 7 8 8 7 7 7 7 7 7 6 5 4 6 10 13 14 11 9 8 8 9 8 9 10 10 9 8 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 nan
nan 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 6 6 5 5 5 6 6 6 6 6 7 7 8 8 7 7 6 5 5 4 5 5 6 8 10 12 13 15 16 16 16 15 14 13 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 9 8 7 7 7 8 8 7 7 7 7 7 7 7 7 6 7 10 13 14 13 10 8 8 8 9 9 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 9 9 nan
nan 9 9 8 8 8 8 8 8 8 8 7 7 7 7 6 6 5 5 4 4 4 5 5 6 6 7 7 7 7 7 6 6 6 6 6 7 8 10 12 14 15 15 16 15 15 14 13 12 11 11 10 9 9 9 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 11 10 10 9 9 8 7 7 7 8 8 7 7 7 7 7 7 7 7 7 8 10 13 15 14 11 9 9 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 nan
nan 9 9 9 8 8 9 8 8 8 7 6 6 6 6 6 6 5 4 4 4 4 4 5 6 7 7 8 8 8 8 8 7 8 9 10 11 12 14 15 15 15 15 14 14 13 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 10 10 9 10 10 10 11 11 11 10 10 9 8 8 7 6 6 7 7 7 7 7 6 6 6 7 7 8 8 10 12 14 14 13 12 10 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 9 nan
nan 8 8 8 8 9 9 8 8 7 6 6 6 6 6 7 6 5 5 4 4 5 5 6 7 8 9 10 10 11 11 11 11 12 12 13 14 14 15 15 15 14 13 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 10 10 9 9 8 7 6 6 6 6 7 7 6 6 6 6 6 7 7 8 9 11 13 15 15 13 11 9 9 10 10 10 10 9 10 10 9 9 9 9 10 10 10 9 9 8 8 8 9 10 nan
nan 7 7 8 8 8 8 8 8 7 7 7 8 8 8 7 6 5 5 6 7 8 9 10 11 11 12 12 13 14 14 14 15 15 15 15 14 14 14 13 12 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 10 10 10 9 9 9 9 9 9 9 9 8 9 9 9 9 10 10 10 10 10 9 8 7 7 6 6 7 7 6 6 6 6 6 6 6 7 8 9 10 13 15 15 13 11 9 9 9 9 9 8 9 10 10 10 9 9 10 10 10 10 9 9 9 9 9 9 10 nan
nan 7 7 8 8 8 8 8 9 9 9 9 9 9 8 7 6 6 8 9 11 13 14 15 15 15 14 14 15 15 15 15 15 15 15 14 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 8 7 7 7 8 8 8 7 6 5 5 5 5 6 7 7 8 10 13 16 16 14 11 9 9 10 10 9 8 9 10 10 10 10 10 10 10 10 9 9 9 9 10 9 9 10 nan
nan 7 8 9 10 10 10 10 10 10 10 9 9 9 8 8 8 10 12 14 16 16 17 17 17 16 15 15 15 15 14 14 14 13 13 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 9 9 8 7 7 7 9 9 8 7 6 5 5 5 5 5 6 7 8 11 15 18 17 15 11 9 10 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 nan
nan 8 9 10 10 11 10 10 10 9 9 9 9 9 10 11 13 14 16 17 17 17 17 16 16 15 15 14 14 13 13 13 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 7 8 8 8 9 9 9 8 8 7 7 7 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 8 7 7 9 9 9 8 7 6 5 5 5 5 5 6 7 8 13 17 19 18 15 10 8 10 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 nan
nan 8 9 10 10 10 10 10 9 10 10 10 11 12 13 14 16 17 17 17 16 15 15 14 14 13 13 13 12 12 12 12 12 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 7 7 7 7 7 8 8 9 9 9 10 10 11 12 11 11 11 11 11 11 10 9 8 7 7 8 9 9 8 6 5 5 5 5 5 5 5 7 10 15 19 19 17 13 10 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 10 10 11 nan
nan 7 8 9 10 10 10 10 11 12 13 14 14 15 15 16 16 16 15 14 14 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 9 10 11 11 11 11 11 12 13 14 13 12 12 12 11 10 9 7 6 6 7 8 9 8 7 5 5 4 4 5 5 6 8 12 18 21 19 15 11 10 11 12 11 10 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 nan
nan 7 8 9 10 10 11 13 14 16 16 17 16 16 15 15 14 13 13 12 12 12 12 11 11 10 10 10 11 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 9 10 11 12 12 11 11 12 13 14 15 15 14 13 12 11 10 9 7 6 7 8 9 9 8 6 5 5 4 4 4 5 7 10 15 20 20 16 11 10 11 12 12 11 10 10 10 10 10 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 nan
nan 9 9 10 11 13 14 16 17 18 17 16 15 15 14 13 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 9 10 11 11 11 11 11 12 13 14 16 15 14 14 12 11 9 8 7 7 7 8 9 9 8 6 5 5 4 4 4 5 7 11 16 19 17 12 9 10 12 12 12 11 10 10 10 10 9 9 10 10 11 11 10 10 10 11 11 11 11 11 10 10 nan
nan 11 11 12 14 15 17 18 18 16 15 14 13 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 10 11 12 13 14 15 15 14 14 12 11 8 7 7 6 7 8 9 9 8 6 5 5 4 4 4 5 8 11 16 17 14 11 10 11 12 11 11 10 10 10 10 10 10 9 10 10 11 11 10 9 9 10 11 11 11 11 10 10 nan
nan 11 12 13 15 17 18 18 16 14 13 12 12 11 11 11 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 10 10 10 10 9 9 9 8 8 9 9 10 12 13 14 15 15 14 14 12 10 9 7 7 6 7 9 10 10 9 7 6 5 4 4 4 5 7 11 15 15 13 11 10 11 11 10 9 9 9 10 10 10 10 10 10 10 10 10 9 8 9 9 10 11 11 11 10 10 nan
nan 10 11 13 15 17 17 16 14 12 12 11 11 11 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 10 11 13 14 14 14 14 13 12 10 9 9 8 7 7 9 10 10 10 8 6 5 4 4 4 5 6 10 14 14 13 11 10 10 10 9 8 9 9 10 10 11 11 11 11 11 10 10 9 9 9 9 11 11 11 11 11 10 nan
nan 10 11 12 14 15 15 13 12 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 7 7 7 8 9 9 10 10 10 9 9 10 10 10 9 10 11 12 13 13 13 13 12 12 11 11 10 9 7 7 8 9 11 10 9 7 5 4 4 4 5 6 9 12 13 13 11 9 9 9 9 9 9 9 10 10 11 11 12 12 11 12 12 11 10 9 9 12 13 13 13 12 11 nan
nan 11 11 12 13 13 12 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 7 7 7 8 8 9 9 10 10 10 9 9 9 9 9 10 10 10 11 12 13 13 12 12 12 12 12 12 9 7 6 7 9 10 11 10 8 6 5 4 5 5 5 7 10 13 14 12 10 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 11 10 11 13 14 15 15 13 11 nan
nan 11 12 12 12 11 10 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 9 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 9 9 10 10 10 9 9 8 8 9 10 11 11 10 11 12 12 12 12 11 12 13 13 12 10 7 6 7 8 10 11 10 8 6 5 4 5 5 5 6 9 12 14 13 10 9 9 8 9 9 9 9 9 9 9 10 11 11 12 11 11 11 11 12 13 14 16 17 16 14 nan
nan 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 9 10 11 11 10 11 12 12 12 11 11 12 13 14 13 11 8 7 6 7 9 11 10 9 7 5 5 5 4 4 5 8 10 12 12 11 9 8 8 8 8 8 9 9 9 9 9 10 10 10 10 11 11 11 12 13 14 15 17 17 16 nan
nan 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 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 9 9 9 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 8 9 10 10 9 9 11 12 13 12 12 12 12 14 14 14 12 10 8 7 7 9 10 10 10 8 6 5 5 5 4 5 6 8 10 10 10 9 8 7 7 7 8 9 9 9 9 9 9 9 9 10 10 10 11 12 12 12 13 15 16 16 nan
nan 11 12 12 12 11 11 10 10 10 10 10 10 10 10 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 9 9 9 9 10 9 9 9 8 8 8 8 8 8 9 9 9 9 10 9 9 8 8 8 8 8 8 9 9 9 9 9 10 12 13 13 13 13 12 13 14 14 14 13 11 9 8 8 9 9 10 10 8 6 5 5 5 5 5 5 6 8 9 9 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 10 11 11 11 10 10 11 12 15 nan
nan 12 12 13 13 12 12 11 11 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 9 9 10 10 9 9 9 9 9 8 9 9 9 9 9 10 10 9 9 9 8 8 8 8 9 9 9 9 10 10 11 13 14 15 15 14 12 13 13 14 14 13 12 11 9 8 8 9 10 10 9 8 6 5 6 7 7 6 6 7 8 8 8 8 7 7 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 8 8 9 12 nan
nan 12 13 13 13 13 12 11 11 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 11 11 10 10 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 9 9 10 10 11 12 13 14 16 17 16 15 13 12 12 12 12 13 13 12 11 10 9 9 10 11 11 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 7 7 8 nan
nan 12 13 13 14 13 12 12 11 10 10 10 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 12 12 12 12 11 10 9 9 9 9 10 10 10 9 9 9 9 8 9 9 9 10 11 11 12 12 13 14 15 17 18 17 15 12 11 10 10 11 12 12 12 13 13 12 11 11 11 11 11 10 9 8 8 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 6 5 nan
nan 12 13 14 14 13 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 9 9 8 8 8 9 11 13 13 13 12 11 10 10 10 10 10 10 9 9 9 9 8 9 9 10 10 10 11 12 12 12 13 13 14 16 18 19 18 15 12 10 9 9 9 10 11 11 13 14 13 12 11 10 10 10 11 10 9 8 7 6 7 7 7 7 6 6 7 8 9 10 11 11 10 9 8 8 8 9 9 9 9 9 9 9 8 7 6 5 4 nan
nan 13 14 14 14 13 12 11 11 11 11 11 11 11 10 10 10 10 11 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 10 10 11 11 10 9 9 9 10 11 12 14 13 12 11 10 10 10 10 10 9 9 9 8 9 9 10 10 11 12 12 12 12 12 12 12 13 14 17 18 18 17 14 11 9 8 8 8 9 9 10 11 11 12 11 11 9 8 9 11 12 11 9 8 7 7 6 6 5 4 3 4 5 7 10 13 13 12 10 9 9 9 10 9 9 9 9 9 9 8 7 6 5 4 nan
nan 14 14 14 13 12 11 11 11 11 12 11 11 10 10 10 10 10 11 11 10 10 10 10 10 10 10 9 9 9 10 10 10 9 9 8 8 8 9 9 9 10 11 11 12 11 11 11 11 11 12 13 13 12 11 10 10 10 10 9 9 8 8 8 9 10 11 12 13 13 13 13 13 13 12 12 12 14 16 17 17 16 14 11 9 9 9 9 9 9 9 9 10 10 11 11 9 8 9 11 13 12 10 9 8 8 7 7 6 4 3 2 2 4 8 12 13 12 11 10 10 10 10 9 9 9 8 8 8 7 6 5 4 3 nan
nan 14 14 14 13 12 11 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 9 9 9 8 8 8 9 9 9 9 9 10 11 11 11 10 11 11 12 13 13 12 11 10 9 9 9 8 8 8 8 8 10 11 13 14 14 14 13 13 13 13 13 12 12 13 14 14 14 14 13 11 11 10 10 10 10 10 9 9 9 10 11 11 9 9 10 12 14 13 12 10 10 9 9 9 9 8 7 6 5 7 9 11 11 11 11 10 10 10 9 9 9 9 8 8 7 5 3 2 1 0 nan
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nan 13 14 14 13 12 11 11 10 10 10 10 9 8 8 8 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 8 8 8 8 8 9 11 12 12 13 12 11 10 10 9 9 9 9 8 8 9 10 11 13 14 14 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 12 12 12 12 12 11 11 11 10 11 11 11 11 10 10 11 12 13 15 17 17 16 14 12 10 9 9 8 8 8 7 6 5 3 1 -0 -1 1 3 6 nan
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nan 10 10 10 10 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 8 9 11 13 14 15 15 14 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 11 10 10 9 8 6 6 6 7 7 7 7 6 6 7 10 12 13 12 11 11 10 10 10 9 9 9 8 7 7 7 9 10 10 9 8 7 7 8 9 11 12 12 11 9 7 6 5 5 5 6 6 7 7 8 9 10 10 11 11 11 11 11 11 11 12 13 15 17 20 21 21 19 16 14 13 11 10 9 9 9 9 10 12 12 12 nan
nan 10 10 10 10 10 10 9 9 9 9 9 9 8 8 7 7 6 6 6 7 8 9 11 13 15 16 15 14 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 10 10 9 7 7 7 7 7 7 6 4 4 4 6 8 10 10 10 10 10 10 9 9 8 7 7 6 6 6 6 7 7 7 7 6 6 7 8 10 12 13 12 10 8 6 5 5 6 7 8 9 9 10 10 10 11 11 12 12 13 13 13 14 16 18 20 23 26 26 24 19 14 11 10 10 10 9 8 8 9 10 12 13 12 nan
nan 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 7 7 6 6 7 8 9 10 12 14 15 15 13 12 11 11 11 12 12 12 12 12 11 11 11 11 11 11 10 10 11 11 11 10 10 10 9 8 7 7 6 6 6 5 5 5 4 4 5 7 8 9 10 9 9 8 8 7 7 7 6 6 5 5 5 5 5 6 6 6 6 7 8 10 11 10 9 7 5 4 5 6 7 9 10 10 10 11 11 11 12 12 13 13 13 13 14 16 18 20 23 26 26 23 17 11 8 8 9 9 9 9 8 9 10 12 12 12 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 7 7 7 7 8 9 11 12 14 15 14 13 12 11 11 12 13 13 14 14 13 12 12 11 11 11 12 12 12 12 13 12 11 11 10 9 9 8 7 6 5 5 6 6 6 5 4 4 5 7 8 9 8 8 8 8 8 8 7 7 6 6 6 5 5 5 5 5 6 6 6 5 5 5 4 3 2 3 4 5 6 8 9 9 10 10 9 9 9 9 9 10 10 11 12 15 17 19 21 22 22 21 17 11 7 5 7 9 10 10 10 10 10 11 11 12 12 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 9 10 11 13 14 14 14 13 12 11 11 12 13 13 14 14 15 14 14 14 14 14 14 13 13 13 14 14 14 13 12 12 11 9 8 7 6 6 6 7 7 6 5 5 6 7 7 7 7 8 9 9 9 9 9 8 7 7 6 6 6 5 5 5 6 6 5 4 2 0 -1 -1 0 2 4 5 6 8 9 9 8 8 7 7 7 7 7 8 9 12 17 20 23 24 24 22 19 15 10 6 5 6 8 10 10 11 11 10 10 10 11 11 11 nan
nan 11 11 11 11 10 10 10 10 10 11 10 10 10 9 8 8 8 8 9 9 10 11 12 13 13 12 12 11 11 10 10 11 11 12 13 14 15 15 15 15 15 15 14 14 14 13 13 14 15 15 15 15 13 12 10 9 8 7 7 7 7 7 8 8 8 8 7 6 7 9 11 13 13 12 11 10 9 8 8 7 7 7 7 7 7 7 6 5 4 2 2 2 3 4 5 6 7 8 8 8 8 7 7 7 7 8 8 10 13 17 21 24 26 26 25 21 17 11 6 5 5 7 9 10 11 11 11 10 10 10 10 10 10 nan
nan 11 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 8 9 9 10 11 11 11 11 11 10 10 10 9 8 7 7 8 10 12 13 13 14 14 14 14 13 13 12 12 12 12 13 14 15 15 16 15 14 13 11 10 9 9 8 8 8 8 9 9 8 7 7 8 11 13 15 15 15 14 13 11 10 10 9 10 11 12 12 10 9 8 7 6 6 5 5 5 6 6 7 7 8 8 8 8 8 8 8 9 9 10 12 15 19 22 24 25 26 24 19 14 8 4 4 6 9 10 11 11 11 11 10 10 10 10 10 10 nan
nan 11 12 12 12 12 12 11 11 11 11 10 10 9 8 8 8 9 9 10 10 11 11 10 9 9 9 9 9 8 6 5 4 6 8 11 11 12 12 12 12 11 11 10 10 10 10 11 13 14 15 15 15 16 16 15 14 13 12 11 10 9 9 9 9 8 8 8 8 9 10 12 13 14 15 16 17 16 14 13 12 12 13 14 15 14 13 11 10 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 10 11 14 18 22 24 25 25 24 21 17 12 5 3 5 7 9 11 11 11 10 10 10 10 10 10 10 10 nan
nan 11 12 13 13 13 12 12 11 11 10 10 9 9 8 8 9 9 10 11 11 11 11 10 8 8 7 8 8 7 6 4 3 4 7 9 9 10 10 10 10 10 10 10 9 9 9 10 12 13 14 14 15 15 15 16 16 15 14 13 12 11 10 9 9 8 8 8 8 8 9 10 10 11 12 14 16 18 18 16 14 11 10 10 12 13 13 12 12 11 10 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 13 16 19 22 23 24 23 20 17 14 11 7 7 8 9 11 11 11 10 10 10 10 9 10 10 10 10 nan
nan 13 13 14 13 13 12 12 11 11 10 10 9 8 8 8 9 9 10 11 12 12 11 10 8 7 6 6 7 7 7 5 4 5 6 7 8 8 9 9 9 9 9 9 9 9 10 10 11 12 12 13 13 13 14 14 15 15 14 14 14 13 12 10 9 9 8 8 8 8 8 9 10 10 11 11 13 15 17 17 16 12 8 6 6 7 8 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 10 11 14 16 18 19 19 18 16 14 13 12 11 10 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 nan
nan 14 14 14 13 13 12 11 11 10 10 10 9 8 8 8 9 9 10 11 12 12 11 10 9 7 6 6 8 9 10 9 8 8 8 9 9 8 8 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 12 12 13 13 13 14 15 15 14 13 11 11 10 10 10 10 10 10 10 11 11 11 12 13 15 17 18 16 12 9 6 5 5 6 8 8 9 9 9 9 9 9 8 8 8 7 7 7 8 8 9 10 12 14 15 16 16 15 13 12 11 11 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 nan
nan 14 14 13 12 12 11 11 10 10 10 9 9 8 8 8 9 9 10 11 12 12 11 11 9 8 7 8 9 10 11 12 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 10 10 10 10 11 11 12 13 14 15 15 15 14 13 12 12 13 13 13 13 13 13 13 13 13 13 14 16 18 18 16 14 12 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 12 13 13 13 12 11 11 12 11 10 10 10 10 10 10 10 10 11 11 10 10 10 9 9 9 9 9 9 nan
nan 14 13 12 11 11 11 11 10 10 10 9 9 8 8 9 9 9 10 11 12 12 12 11 10 9 9 9 11 12 12 13 13 13 12 11 10 9 9 9 9 10 10 10 10 9 9 8 8 9 9 9 10 10 11 10 10 10 11 11 13 14 14 14 14 14 14 14 15 15 15 15 15 15 15 14 14 13 13 13 14 15 15 15 15 14 14 13 12 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 11 12 13 13 12 10 9 9 10 11 11 10 10 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 nan
nan 15 15 14 12 12 11 11 10 10 10 9 9 9 9 9 9 10 10 11 12 12 12 12 11 11 11 11 12 12 13 13 13 13 12 11 10 10 10 10 11 12 12 11 10 9 7 7 8 9 9 10 11 11 11 11 11 11 11 11 12 12 13 13 13 13 14 14 15 15 16 16 16 15 15 15 14 13 11 9 8 9 10 12 14 14 15 15 16 16 16 16 15 15 14 14 13 13 12 12 12 12 12 12 13 14 14 13 11 10 9 8 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 nan
nan 16 16 15 13 13 12 11 11 10 10 9 9 9 9 9 10 10 11 11 12 12 13 13 13 13 14 14 13 13 13 13 13 13 12 11 10 10 11 12 14 14 14 12 10 8 7 7 9 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 14 14 14 15 15 15 15 15 14 12 10 8 7 7 8 11 13 15 16 16 17 18 19 19 20 21 21 21 20 18 18 17 17 17 17 16 17 16 14 12 11 10 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 15 16 15 14 13 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 12 13 14 15 16 16 16 15 15 14 14 13 12 11 10 10 11 12 13 15 15 14 12 10 8 8 9 11 12 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 12 12 12 12 12 13 13 14 14 14 14 14 13 12 10 9 10 11 13 15 16 17 17 15 15 16 18 20 22 23 23 22 22 22 21 21 21 20 19 18 16 13 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 nan
nan 12 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 14 14 14 15 16 16 15 13 11 10 10 9 10 10 11 12 14 14 13 11 9 8 9 10 11 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 12 12 13 14 14 14 14 14 13 12 12 13 14 15 16 17 16 14 13 12 13 16 18 19 19 19 19 20 21 21 21 20 18 15 13 11 10 10 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 nan
nan 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 11 12 12 13 13 13 12 10 9 10 12 14 14 13 11 9 8 8 8 8 8 9 11 12 12 12 11 9 9 10 11 11 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 13 14 15 15 15 13 12 12 12 13 13 13 14 14 13 12 11 11 13 14 15 15 15 15 16 18 18 17 16 13 11 10 10 10 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 nan
nan 9 9 8 8 8 9 9 10 11 11 11 11 11 11 11 11 11 12 13 14 14 13 11 9 8 8 9 10 11 10 8 6 6 5 5 6 7 8 10 11 12 12 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 12 12 12 12 11 11 11 12 12 13 14 15 14 12 11 11 10 10 10 10 10 11 11 12 11 11 12 13 14 14 14 14 15 16 15 15 13 12 12 12 11 12 12 13 13 13 12 12 12 11 11 11 10 10 11 11 11 11 10 10 11 11 11 10 10 10 10 10 nan
nan 10 9 9 8 8 8 9 10 10 10 11 10 10 10 10 10 11 13 14 14 14 13 13 11 10 9 9 9 9 8 6 5 4 4 5 6 7 8 10 11 12 12 12 12 12 12 12 13 13 14 14 14 13 13 12 12 12 11 11 11 11 11 10 10 11 11 12 12 13 13 12 12 12 12 13 14 14 13 11 10 9 9 9 8 8 9 10 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 nan
nan 11 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 11 12 13 14 14 14 14 13 12 10 9 9 9 8 7 5 4 5 7 8 8 9 10 11 12 12 12 12 12 13 13 13 14 14 14 13 13 12 11 11 11 11 11 11 10 10 10 10 10 11 12 12 13 13 13 12 12 13 14 14 13 12 10 9 8 9 9 9 9 9 10 10 11 11 10 10 9 10 11 11 12 12 11 11 12 12 12 12 12 12 12 13 13 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 10 10 11 11 10 10 10 nan
nan 12 11 10 10 10 10 11 11 11 10 10 9 9 9 9 10 11 12 13 14 14 14 14 14 13 11 10 9 9 9 8 7 7 7 8 9 9 10 10 11 12 12 13 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 10 10 10 10 11 11 12 12 13 13 12 12 12 13 14 14 13 11 9 9 9 9 9 9 9 9 10 10 9 9 8 8 8 9 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 12 12 11 11 10 10 10 10 10 10 10 9 9 10 10 11 11 11 11 11 nan
nan 12 11 11 11 11 12 12 12 12 11 10 10 10 10 10 12 12 13 13 13 14 14 14 14 13 12 11 9 10 10 10 10 9 9 8 9 9 10 11 12 13 13 14 14 13 13 12 12 12 12 12 11 11 11 11 11 12 12 11 11 11 10 10 10 11 11 11 12 12 12 12 12 13 13 14 14 13 11 10 9 9 10 10 10 9 8 7 7 7 7 7 8 8 9 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 nan
nan 12 12 12 12 13 13 13 13 13 12 12 11 11 12 13 14 14 14 13 13 14 14 14 14 14 13 11 10 10 10 10 10 10 9 8 9 9 10 11 13 14 14 14 13 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 10 10 9 10 10 10 11 12 12 12 13 13 13 14 14 13 12 11 10 10 11 11 10 8 6 5 5 5 6 7 8 9 9 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 10 10 10 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 1 1 2 2 2 2 2 2 1 1 1 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 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 2 5 7 8 9 7 5 8 9 9 8 7 7 9 8 9 10 10 12
0 0 0 0 1 1 1 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 0 1 1 2 4 5 6 5 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 1 3 7 11 12 9 5 7 9 10 9 7 6 7 9 11 12 13 13
0 0 0 0 0 1 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 2 5 8 10 9 9 8 8 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 2 6 8 9 7 5 6 11 15 15 10 6 7 9 13 16 15 15
0 1 0 0 0 1 1 1 1 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 1 3 9 15 21 22 20 16 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 2 3 5 7 7 7 10 15 19 17 10 5 5 8 12 15 15 17
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 18 26 30 32 29 24 18 10 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 2 2 4 5 7 10 12 15 17 17 12 7 4 3 3 3 8 15
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 18 24 30 32 33 31 28 24 19 13 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 1 2 3 3 3 8 11 12 13 14 11 9 7 4 3 3 5 9
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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 18 24 28 33 35 35 33 30 27 24 21 18 15 12 10 9 5 4 4 4 5 6 6 6 6 4 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 1 3 5 6 6 5 5 4 3 5 17 11 22 50
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 17 24 30 33 34 34 33 29 24 20 17 14 11 10 9 8 7 8 8 6 3 3 3 4 4 4 4 3 2 1 0 1 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 1 1 2 3 4 4 5 6 6 6 5 3 13 17 43 92
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 16 22 28 32 33 31 29 27 24 21 17 10 7 7 6 5 5 5 4 5 7 6 4 2 1 2 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 1 1 3 4 6 7 8 5 6 16 41 79
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 24 31 35 36 34 30 24 20 18 16 14 11 9 5 3 3 3 3 2 2 2 2 3 2 2 1 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 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 1 0 0 3 5 7 7 8 7 6 10 18 29
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 21 31 40 45 43 39 34 28 21 16 12 11 10 9 8 6 3 1 0 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 1 1 1 0 0 0 0 0 0 0 0 0 1 3 6 7 5 4 4 4 5 6 7 8 8 7 7 7 7 7 9
0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 19 31 41 46 47 44 37 30 24 19 13 10 11 11 10 9 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 0 0 0 0 0 0 0 0 0 0 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 9 9 8 7 7 6 5 6 7 6 6 4 3 3 3 8 12
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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 2 3 4 5 6 7 8 9 9 13 17 21 26 31 37 42 46 46 45 40 34 28 22 18 15 13 12 9 7 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 9 9 9 8 8 7 8 7 6 6 5 3 1 2 7 14 15
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 2 3 6 7 9 12 14 19 24 29 33 36 39 43 46 50 53 54 53 49 43 37 30 24 20 17 15 13 12 11 11 10 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 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 1 3 7 9 8 8 8 7 7 7 8 9 10 7 4 3 3 7 15 18
0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 6 7 7 8 9 10 11 14 16 17 19 24 30 36 43 49 53 56 57 56 56 55 54 49 44 38 32 28 25 21 17 14 13 12 13 15 17 12 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 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 2 6 8 8 7 7 8 9 9 9 9 8 8 7 5 6 8 13 22 27
2 2 1 0 0 0 0 1 2 2 4 6 9 11 13 14 14 14 17 20 24 28 30 31 32 33 37 42 46 48 50 52 51 49 46 44 43 41 36 31 28 26 26 26 23 18 17 18 17 16 16 15 9 5 3 2 0 0 0 0 0 0 0 1 1 2 2 3 2 1 0 0 0 0 1 1 1 1 2 2 3 4 3 3 3 3 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 2 6 8 7 6 5 5 7 11 14 14 10 8 8 8 9 10 13 15 21 25
6 4 2 2 2 3 5 7 9 10 10 11 12 11 11 13 16 21 27 32 37 39 40 39 39 39 40 42 43 41 40 41 40 37 34 31 30 31 27 24 23 23 24 21 18 16 20 21 17 14 11 7 6 4 3 1 0 0 0 0 0 0 0 1 4 6 4 6 5 4 3 3 3 3 5 7 8 7 7 6 6 6 5 5 6 6 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 1 3 5 6 6 7 7 7 8 11 13 12 8 6 7 9 12 14 15 14 13 12
7 4 3 4 6 9 11 16 17 17 16 15 12 10 13 18 26 33 35 37 37 37 35 33 32 32 33 34 33 31 29 29 29 28 29 30 31 31 28 25 23 22 22 19 16 15 17 16 13 10 7 4 4 4 3 2 0 0 0 0 0 0 0 0 1 2 3 4 3 3 3 5 6 8 11 14 16 17 16 14 13 10 9 8 7 7 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 1 2 3 5 6 7 7 7 7 7 7 6 4 5 8 10 14 22 18 12 8 6
6 5 5 6 9 11 13 17 20 23 26 27 25 25 29 36 42 42 36 30 27 26 26 23 20 18 20 24 24 22 20 20 22 22 25 29 33 34 32 30 28 25 29 28 25 21 18 12 10 8 6 6 6 5 4 4 4 4 3 2 1 0 0 0 0 0 2 2 2 2 3 3 7 10 14 18 22 24 32 38 33 19 14 12 11 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 1 3 6 7 7 7 7 7 5 4 3 3 6 8 11 14 24 17 8 3 2
4 3 5 10 14 16 19 23 30 36 41 44 45 46 47 48 45 38 26 20 18 18 19 18 15 13 13 16 19 20 18 16 18 18 19 21 25 28 30 31 31 29 33 33 32 30 29 24 24 25 25 24 20 15 9 5 6 7 7 5 3 2 3 2 1 2 4 4 5 6 6 9 15 18 21 26 30 28 38 46 43 32 30 29 26 21 11 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 1 3 5 5 4 3 3 3 3 3 5 7 9 11 11 7 4 2 1 0
0 1 3 9 16 23 28 34 40 47 54 57 54 50 46 41 34 25 17 13 12 12 12 13 13 12 11 15 20 22 20 15 13 16 17 18 20 22 24 27 30 30 30 30 31 33 35 33 32 33 34 34 28 24 16 6 3 4 4 2 0 2 3 4 6 9 18 15 17 18 15 21 34 38 40 47 43 36 34 35 39 44 50 50 41 24 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 1 1 1 1 1 2 2 3 5 6 6 7 8 6 3 2 1 0 0
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3 8 17 27 36 45 55 64 66 68 63 53 42 32 24 18 15 13 12 11 10 9 11 11 12 14 15 16 18 19 20 23 19 20 21 22 24 25 26 26 28 33 39 41 37 32 30 27 23 20 20 21 18 17 18 17 16 14 8 4 5 7 9 12 16 25 34 48 55 53 44 44 41 39 40 40 40 42 48 56 60 63 60 49 33 11 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 1 1 1 2 2 2 2 1 0 0
12 21 33 40 47 56 65 71 72 66 58 47 37 30 23 19 18 18 17 15 15 17 17 16 16 16 15 13 14 17 19 20 21 22 22 22 23 26 27 31 37 44 45 39 28 17 15 16 16 17 18 16 16 17 18 18 19 20 20 19 18 18 16 16 22 35 50 62 63 54 41 42 33 26 27 32 33 40 53 66 70 66 59 49 36 10 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 1 1 1 2 2 1 1 1 0 0 0
24 32 41 49 58 65 68 67 65 58 49 41 33 27 24 23 22 22 22 22 22 23 22 21 19 18 18 20 21 22 23 23 23 24 24 26 28 26 28 33 38 42 42 35 25 17 13 14 15 16 16 15 15 15 15 16 16 18 21 25 29 28 23 19 18 20 34 42 46 42 26 22 17 14 15 15 19 25 34 44 53 59 57 49 38 15 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 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0
37 41 46 55 65 67 64 62 61 55 45 34 24 21 22 23 24 24 24 24 23 21 23 22 21 20 20 21 22 22 21 20 21 23 25 26 28 26 27 29 30 29 26 22 18 15 14 15 15 15 15 14 13 13 15 18 18 21 24 27 30 27 23 21 18 18 22 28 31 28 20 15 13 11 10 10 13 17 21 28 38 43 47 48 39 22 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 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0
45 46 50 58 67 64 59 59 57 50 39 27 17 18 20 21 23 23 22 22 21 20 22 23 23 23 24 25 23 21 21 21 22 25 26 26 25 25 25 26 25 22 20 18 16 14 15 15 14 14 14 13 13 14 17 24 24 23 22 23 30 26 27 29 30 30 28 26 22 19 17 14 12 10 10 15 18 22 27 34 36 39 42 45 39 27 15 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 1 0 0 0 0 0 0 0
54 56 60 68 68 61 56 56 56 49 37 25 18 18 19 21 22 23 23 21 20 20 21 22 24 25 24 25 23 22 22 23 26 28 29 28 27 26 26 24 23 21 20 18 17 15 16 15 15 14 13 12 12 14 18 21 25 24 21 18 24 32 37 38 38 35 28 21 15 13 12 11 10 8 4 12 20 29 37 44 40 35 29 26 25 23 19 13 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
59 58 57 57 58 56 54 54 52 46 35 25 20 18 19 21 22 22 22 20 19 20 21 21 22 23 23 22 23 24 25 27 28 29 29 28 28 28 27 26 23 21 19 17 16 16 17 15 15 14 14 12 12 13 14 15 18 17 18 20 26 35 37 35 33 30 23 17 13 13 14 13 14 16 13 13 16 23 33 36 32 26 22 18 15 18 21 19 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 0 0 0 0 0 0 0 0 0 1
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