Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 7 7 6 7 8 8 8 8 7 7 7 7 7 8 8 7 7 7 7 8 8 7 6 7 8 9 9 8 6 5 6 7 6 6 6 7 7 7 7 7 8 8 8 8 8 8 6 6 7 7 8 7 6 5 6 7 8 9 9 9 9 9 10 10 9 9 8 9 11 13 12 10 9 10 11 12 13 12 12 11 10 10 10 10 9 8 8 7 7 7 7 8 8 8 7 7 7 7 6 6 6 5 6 6 6 5 5 5 5 6 6 7 7 7 7 6 6 5 5 5 5 6 6 6 6 6 5 5 5 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 4 5 5 5 5 5 5 5 5 6 6 6 6 6 nan
nan 8 7 6 7 8 8 7 7 8 8 8 7 7 8 8 7 8 8 8 8 8 7 8 9 9 8 8 8 8 9 8 7 6 5 6 7 6 6 7 8 7 8 8 8 8 7 7 7 7 6 5 6 7 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 10 9 8 9 11 14 15 12 10 10 11 13 13 14 13 12 11 10 10 10 10 9 8 7 7 6 7 8 8 7 7 7 7 7 7 6 6 5 5 5 5 5 6 6 5 5 6 7 7 7 7 7 6 5 5 5 5 6 6 6 6 6 6 4 5 5 6 7 8 8 8 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 nan
nan 7 6 5 6 7 8 7 7 8 8 7 7 7 7 7 7 7 8 9 8 8 8 8 9 9 9 9 9 8 8 8 8 7 6 6 7 7 7 7 8 8 8 9 8 7 6 6 6 5 4 5 7 8 9 9 9 9 7 7 8 8 9 9 8 8 8 8 9 10 10 9 9 10 11 13 13 11 11 12 12 13 14 14 13 12 11 11 11 10 10 9 8 7 6 6 7 8 9 8 7 7 7 7 7 6 5 5 4 4 5 6 6 6 6 6 6 6 7 8 8 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 8 8 8 8 7 7 6 6 6 6 6 6 6 5 5 5 6 6 6 7 7 7 7 7 7 6 6 6 nan
nan 7 6 5 5 6 7 7 7 7 7 7 7 8 8 7 8 7 7 8 8 8 8 9 9 9 8 9 9 8 8 9 9 8 7 6 7 7 7 7 8 9 9 9 7 5 6 6 6 5 6 7 8 9 10 10 10 8 7 8 8 9 8 8 8 8 8 8 9 9 9 9 9 9 10 11 14 14 12 12 12 12 13 13 13 12 12 11 11 11 10 10 9 7 7 7 7 8 9 8 7 7 7 7 7 7 6 5 4 4 5 6 7 7 7 6 6 6 6 7 7 8 7 6 6 6 6 6 6 6 6 6 6 5 5 4 5 7 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 nan
nan 7 7 7 6 5 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 9 9 8 8 8 8 9 7 7 7 9 9 8 5 4 6 7 7 7 7 8 8 9 9 10 8 7 7 8 9 8 8 7 8 9 9 9 9 9 9 9 10 10 10 11 12 12 13 13 12 12 12 12 12 12 11 11 11 11 11 11 10 8 7 7 7 8 9 9 8 8 8 8 7 8 6 6 5 5 5 6 6 7 7 7 6 6 6 6 6 7 8 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 6 6 7 7 7 7 7 6 6 6 7 7 7 7 7 8 7 7 8 7 7 7 7 7 7 7 6 nan
nan 8 7 7 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 7 7 7 8 7 6 6 7 7 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 7 8 8 8 9 9 9 9 9 10 10 10 10 10 12 13 13 12 12 12 12 11 11 11 11 11 11 11 11 10 10 8 7 7 8 9 9 9 9 9 9 9 8 8 7 6 5 6 6 6 6 7 7 7 7 6 6 5 6 7 7 8 7 7 7 6 6 6 6 7 6 6 6 5 5 5 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 7 8 8 7 7 7 7 7 7 7 6 nan
nan 9 8 7 7 7 6 6 7 7 6 6 7 7 7 8 8 8 7 8 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 9 7 6 6 7 7 7 7 7 7 7 7 8 8 8 7 7 6 6 8 8 7 7 7 6 7 8 8 8 8 9 9 9 9 9 9 9 9 10 12 12 13 14 16 15 13 12 11 11 11 11 11 11 11 10 10 10 8 7 7 9 10 11 11 10 10 10 9 8 7 7 6 6 6 6 6 7 6 6 7 6 6 5 6 6 7 7 7 7 7 7 7 6 6 6 7 7 7 6 6 5 6 6 6 6 6 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 nan
nan 9 9 8 8 7 7 7 7 8 7 6 6 7 7 7 8 8 7 8 8 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 8 8 8 8 7 7 7 7 8 7 7 7 6 6 8 8 7 7 7 7 8 8 7 7 8 9 9 9 9 8 8 8 9 10 10 11 13 14 15 17 16 14 12 11 11 11 11 11 11 11 11 10 10 8 8 8 9 11 11 10 10 10 9 8 7 7 6 5 6 6 6 6 6 6 7 6 6 6 5 6 6 7 7 7 7 7 7 7 7 6 6 7 7 7 7 6 6 6 6 6 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 9 9 9 8 7 7 7 7 7 7 6 7 7 7 7 8 8 8 8 8 9 9 8 8 7 7 7 7 6 7 6 7 7 7 7 7 6 5 5 6 7 8 8 8 8 8 8 8 8 8 8 7 8 9 8 7 8 8 8 7 7 7 7 7 7 8 8 9 8 8 8 8 7 8 8 8 9 10 11 11 12 14 16 16 14 12 12 12 12 11 12 12 12 12 12 10 8 7 8 9 10 11 11 9 8 8 8 7 6 5 6 6 6 6 6 6 7 6 7 6 6 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 6 7 7 7 7 nan
nan 8 9 8 7 7 7 7 7 7 7 7 7 8 7 8 8 8 8 9 8 8 8 8 8 7 7 7 7 7 7 6 7 7 7 6 7 6 5 5 6 7 8 8 8 8 8 7 7 7 7 7 8 8 9 8 8 8 8 8 7 7 8 7 7 7 7 7 7 7 8 7 7 7 7 7 8 8 9 10 10 10 11 14 16 17 15 14 13 13 13 13 13 13 14 14 11 8 7 7 7 7 8 9 9 8 9 9 8 7 6 6 6 6 7 6 6 6 6 7 7 6 6 6 5 6 6 6 6 7 7 8 8 8 8 7 7 7 6 7 7 6 6 6 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 6 7 7 7 8 nan
nan 8 9 8 8 7 7 7 6 6 6 7 8 8 8 9 9 9 8 8 7 8 8 9 9 8 6 7 8 8 8 7 7 8 7 7 6 6 6 5 6 6 6 8 8 8 7 7 6 6 7 7 8 8 8 8 8 9 9 8 7 8 8 8 7 7 7 7 7 7 8 7 6 7 7 7 7 8 9 9 10 10 10 11 13 16 18 18 16 14 14 13 13 14 16 15 12 10 8 8 7 6 6 7 8 9 9 8 8 7 7 7 7 6 6 6 6 6 6 6 7 7 7 6 6 6 6 7 6 6 7 7 8 9 9 8 8 7 7 7 7 6 6 6 5 5 5 6 6 6 6 6 7 7 8 7 7 7 7 7 7 6 7 8 8 nan
nan 8 8 9 9 8 7 6 6 6 6 7 8 8 9 10 9 8 8 7 7 8 8 10 10 8 7 7 8 8 8 8 9 8 8 8 7 6 6 5 5 5 5 7 8 8 7 6 6 7 7 8 8 8 8 8 9 9 8 8 8 8 8 7 7 7 8 8 8 9 8 7 7 8 8 7 8 8 8 9 9 10 10 9 11 12 14 17 18 16 14 13 13 14 15 15 13 12 11 10 8 6 5 5 7 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 7 8 10 10 9 8 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 8 nan
nan 8 7 8 9 8 7 7 6 6 7 8 8 10 11 10 9 7 7 7 7 8 8 9 9 8 7 7 7 7 7 7 8 8 8 8 8 7 5 4 4 4 6 7 8 8 6 6 6 7 8 8 9 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 9 9 12 15 15 14 12 12 12 13 14 15 15 13 11 8 6 5 6 7 7 8 7 8 8 7 7 7 8 7 6 7 7 7 6 6 6 7 8 8 8 8 7 7 6 6 5 6 6 8 10 11 10 8 8 7 7 7 7 6 6 6 6 6 7 7 7 7 8 8 9 8 8 8 7 7 7 7 8 8 nan
nan 8 7 8 8 8 7 6 6 7 7 8 9 11 11 9 8 7 6 7 7 7 7 8 8 8 7 7 7 6 7 7 7 7 7 8 7 6 6 4 2 3 7 8 7 7 6 6 7 8 8 9 9 8 8 7 7 8 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 7 8 8 9 9 9 8 8 10 11 10 9 9 9 11 13 12 11 11 11 11 13 15 16 14 11 10 7 6 6 6 7 8 8 8 8 7 7 7 8 8 7 7 7 7 6 6 6 6 7 8 8 8 8 8 7 7 6 5 4 6 8 10 10 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 8 8 8 nan
nan 8 7 7 8 9 8 7 6 6 6 8 10 11 10 9 8 8 7 7 7 7 8 8 8 8 7 7 6 6 7 7 6 7 7 8 8 6 6 5 2 4 6 8 8 7 6 6 8 9 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 9 9 10 8 8 8 8 8 8 9 9 9 10 10 9 9 10 11 10 9 9 9 9 10 13 15 13 11 11 11 12 13 14 13 12 10 9 7 6 5 7 8 9 9 9 8 8 9 9 9 9 8 8 7 6 6 6 6 7 7 8 8 8 8 8 8 7 5 4 4 5 7 9 10 10 9 9 9 8 8 8 8 8 8 8 7 6 6 6 6 7 7 7 7 8 7 7 8 8 8 nan
nan 7 7 6 7 9 10 8 7 6 6 7 9 10 10 10 9 8 8 8 9 8 9 8 8 8 8 7 6 6 6 7 7 8 8 7 8 7 7 4 3 5 7 7 8 7 5 6 7 8 8 9 8 7 7 7 8 8 8 8 9 8 9 9 9 9 10 10 9 9 9 9 9 9 9 10 11 12 12 12 11 10 9 9 9 8 8 8 9 12 15 15 13 12 11 11 11 12 13 12 11 9 8 6 5 6 7 8 9 9 9 9 9 10 11 10 9 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 6 5 5 5 6 8 9 9 9 9 9 8 8 8 8 8 8 7 7 6 6 7 7 7 8 7 7 7 7 7 6 7 nan
nan 7 6 6 7 9 10 9 8 7 7 8 8 9 10 10 9 9 8 8 9 9 9 8 8 9 8 7 7 7 6 7 8 8 9 8 7 6 5 4 4 6 6 7 7 6 6 6 7 8 7 7 7 7 7 8 8 8 8 9 8 9 8 9 9 9 10 9 9 9 10 10 9 9 10 11 12 14 14 13 12 10 9 8 8 8 7 8 8 9 12 14 15 15 14 12 11 12 13 13 12 11 9 8 7 6 6 7 8 9 10 10 10 10 11 11 11 9 8 7 8 8 7 7 7 7 6 7 7 7 8 8 7 7 7 6 5 5 6 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 nan
nan 8 5 6 7 8 10 9 7 6 8 9 8 7 8 8 8 8 9 9 9 9 8 8 9 9 9 8 8 8 7 7 8 9 9 8 7 5 4 4 6 6 6 6 6 6 6 7 8 7 7 6 6 6 7 7 7 7 8 9 9 9 9 9 10 10 9 8 8 9 9 10 10 11 12 12 13 13 14 13 11 10 9 8 8 7 7 8 8 8 8 11 15 17 17 16 16 17 16 15 13 12 11 9 8 7 6 6 7 8 10 10 10 10 10 10 11 10 9 7 6 7 7 6 7 7 7 7 6 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 7 7 7 6 6 6 nan
nan 10 6 6 7 8 9 8 6 5 6 9 8 6 6 7 7 8 8 8 9 8 8 8 8 8 8 9 9 9 8 7 7 7 8 9 8 5 4 5 6 7 7 7 6 7 7 7 7 7 7 6 6 7 7 7 7 7 7 9 9 8 9 10 9 10 9 8 8 8 9 9 10 12 13 13 13 14 14 14 12 10 9 8 8 8 8 8 7 7 8 9 11 14 16 17 19 21 20 18 16 14 13 10 9 8 8 6 7 8 9 9 9 10 10 10 10 10 9 7 4 5 5 5 6 7 7 7 6 6 6 7 7 7 7 7 8 8 8 8 8 7 7 7 7 8 7 7 8 8 8 8 9 9 9 9 9 8 8 8 7 7 7 7 7 nan
nan 11 9 6 5 6 8 8 7 4 6 8 8 7 7 7 7 8 7 8 8 8 7 7 7 7 7 8 8 8 7 6 6 6 7 9 9 8 7 6 7 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 8 8 8 8 9 9 9 9 8 8 8 8 9 9 10 11 12 12 12 14 15 15 14 12 10 9 9 8 8 7 7 8 8 8 8 10 11 13 14 16 18 19 17 15 14 12 11 10 10 9 8 8 8 8 8 8 8 9 9 10 10 8 6 5 4 5 5 6 6 6 6 5 5 6 6 6 6 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 7 7 7 nan
nan 11 9 7 6 6 7 8 7 6 6 7 8 8 8 8 8 8 7 7 7 6 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 9 9 8 7 7 8 8 7 7 7 8 8 7 7 8 8 8 9 9 8 8 9 8 7 8 9 9 8 8 9 9 9 9 9 10 10 11 12 11 12 14 15 15 15 13 13 12 10 10 9 8 8 9 9 9 9 9 10 10 11 12 13 17 18 17 15 14 14 13 13 12 12 10 9 8 7 7 7 9 10 11 11 11 11 9 7 6 5 5 6 6 5 5 5 4 5 5 6 6 6 7 7 8 8 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 8 8 9 9 8 8 7 7 7 nan
nan 11 10 8 7 6 7 7 8 7 6 6 7 8 8 9 8 8 8 7 6 6 6 7 7 7 7 6 6 6 6 7 8 8 7 5 6 7 8 9 8 8 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 8 8 9 8 8 8 9 10 10 10 10 11 11 11 12 11 11 12 12 14 15 15 15 15 14 14 13 11 10 10 10 11 11 11 11 10 11 11 11 12 15 18 19 19 18 16 15 15 15 15 15 14 14 14 13 12 11 11 12 12 12 12 12 11 9 7 7 6 6 6 5 5 4 5 5 6 6 6 6 6 6 7 7 8 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 9 9 9 8 8 8 7 nan
nan 10 10 8 7 7 7 7 7 7 7 7 7 8 8 8 9 8 9 8 7 7 6 7 8 8 7 7 6 7 7 8 9 9 8 7 6 6 7 8 10 9 9 11 10 10 9 9 10 10 9 9 10 9 10 11 11 11 11 10 10 9 8 8 9 10 10 11 11 12 12 12 12 12 12 11 11 11 11 12 13 13 14 16 16 15 15 13 12 12 13 13 13 13 13 12 13 13 13 13 15 18 21 21 19 18 18 18 19 21 21 21 20 17 16 14 12 12 11 11 11 11 12 12 11 9 9 8 7 6 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 8 8 9 9 9 9 9 8 7 7 7 8 8 9 9 9 8 8 8 8 nan
nan 10 9 9 8 8 7 6 7 7 7 8 8 7 7 8 8 9 9 8 7 8 8 9 8 7 6 7 8 8 8 8 9 9 8 8 6 5 6 7 9 10 9 10 12 11 10 9 8 8 9 10 9 9 10 11 12 13 13 11 10 10 9 8 9 9 11 12 12 12 11 11 11 11 11 11 10 9 9 10 10 10 12 14 14 14 15 15 14 14 14 15 15 14 15 14 14 13 13 13 13 15 17 19 22 22 21 21 22 23 22 21 19 18 17 16 13 12 11 11 10 10 11 14 14 12 12 10 8 7 6 6 5 5 6 6 6 6 7 7 6 6 6 6 6 6 7 8 8 8 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 nan
nan 11 9 8 9 9 7 6 5 5 6 7 8 8 8 8 8 9 8 8 8 8 9 9 8 6 6 7 8 8 8 8 8 9 9 8 6 6 6 6 7 9 9 10 11 9 7 6 6 6 7 6 8 9 10 11 12 14 14 13 12 11 10 9 7 8 11 13 13 11 10 10 9 9 9 9 8 8 8 9 9 9 10 11 11 10 11 12 13 13 13 14 14 14 14 15 14 13 13 13 13 12 13 15 19 21 21 21 23 23 22 20 18 18 17 16 15 14 13 13 13 13 14 15 15 15 15 14 12 10 7 7 6 5 5 6 7 7 7 7 8 7 7 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 nan
nan 10 9 8 8 8 8 7 6 5 5 6 7 7 8 8 8 8 7 7 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 10 10 7 5 4 6 8 6 5 6 7 9 10 12 15 16 16 15 13 10 8 5 6 10 12 12 10 9 9 8 7 8 8 6 6 7 8 9 9 9 9 8 8 8 9 9 10 11 12 13 13 12 13 12 12 12 13 12 12 12 13 14 15 16 17 18 18 18 17 16 16 16 16 16 16 15 16 16 17 17 16 15 16 17 17 17 15 12 11 10 8 6 6 7 8 8 8 9 8 8 7 7 6 6 6 7 7 7 7 7 8 8 8 8 8 8 9 8 8 8 8 7 nan
nan 10 9 9 8 8 8 7 7 6 6 6 7 7 8 9 8 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 8 6 5 6 8 9 9 8 7 8 9 10 9 6 4 5 9 11 8 7 7 7 8 9 11 14 16 16 14 12 10 5 2 4 8 11 11 10 9 8 7 7 7 7 6 6 6 8 10 9 8 7 7 7 7 7 7 7 9 10 11 11 11 11 11 11 12 12 12 12 12 12 11 11 12 12 11 10 10 12 14 15 16 17 16 15 15 16 16 16 16 15 14 13 15 16 17 16 16 16 14 11 8 7 7 8 9 9 10 10 9 9 8 7 7 7 7 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 nan
nan 8 8 8 8 9 8 8 7 7 6 6 7 8 8 8 8 6 5 6 6 6 7 7 8 8 8 8 9 9 9 9 9 6 5 6 8 9 9 8 8 10 8 9 9 7 6 8 10 10 10 9 8 8 9 8 8 10 13 11 8 8 8 4 0 3 7 9 10 9 8 8 7 7 7 7 6 5 6 7 9 10 8 7 5 6 6 7 6 7 8 8 8 9 10 10 10 10 12 12 12 12 12 10 11 11 11 11 9 7 6 10 13 15 16 16 14 13 13 14 15 14 13 12 11 11 11 12 13 14 15 17 17 15 10 7 7 8 9 10 10 10 10 10 9 9 8 7 7 7 6 6 6 6 7 7 7 7 8 8 8 8 9 8 8 nan
nan 7 7 7 8 9 9 8 8 7 7 7 7 7 7 8 8 7 6 5 6 6 7 7 7 8 8 9 9 9 10 10 9 9 8 8 7 6 7 7 8 10 8 9 11 11 10 10 9 6 6 7 8 8 9 9 10 9 11 9 6 4 3 3 4 6 8 9 8 8 7 7 7 7 8 7 6 6 7 8 9 9 9 7 6 6 5 6 6 7 8 8 7 7 8 9 9 10 10 11 11 12 12 11 11 11 12 11 10 8 8 11 14 15 15 14 12 11 11 12 13 13 12 10 10 11 11 11 10 10 12 14 16 16 13 9 7 7 8 8 9 10 10 10 10 10 9 8 7 7 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 nan
nan 7 6 7 8 8 9 8 8 7 7 7 7 6 7 8 8 7 6 6 7 7 7 7 7 7 8 8 9 8 9 9 10 10 10 9 8 7 6 6 7 8 7 9 12 14 13 12 8 4 2 4 7 10 10 10 9 9 9 6 5 5 -0 2 9 10 9 9 8 7 6 5 6 7 8 7 6 6 7 7 8 9 9 7 6 5 6 6 6 6 8 8 8 7 7 8 9 9 9 10 10 11 11 12 12 13 12 11 9 7 10 14 15 16 14 13 11 9 9 9 11 12 11 10 9 10 11 12 11 10 10 11 13 14 13 11 7 6 7 7 8 9 10 10 10 10 9 9 8 8 7 6 6 6 6 6 6 7 7 7 8 8 8 8 8 nan
nan 7 7 7 7 8 7 6 7 7 7 7 6 6 7 8 9 8 7 7 7 8 7 7 7 8 8 8 9 8 8 8 10 10 10 9 9 9 8 8 7 6 7 10 13 13 12 11 9 8 7 5 4 8 9 11 9 7 7 6 2 -0 1 7 12 13 10 8 7 6 5 4 5 7 8 7 7 6 6 7 8 9 8 7 6 6 6 5 5 6 7 8 8 7 8 9 9 10 9 9 9 9 10 12 12 13 12 11 10 10 13 14 13 13 12 10 9 8 8 8 10 11 12 11 10 10 11 11 11 11 11 11 11 11 11 11 9 5 4 6 8 9 10 10 10 10 10 9 9 8 7 7 7 6 6 6 7 7 7 7 8 8 8 8 8 nan
nan 8 8 7 7 7 7 7 6 6 7 7 6 6 7 8 9 9 8 8 8 8 8 7 8 8 8 8 8 8 9 9 9 10 10 10 10 10 9 8 7 6 7 9 11 9 10 11 10 9 8 7 5 4 5 5 6 5 5 6 5 2 4 10 14 13 9 7 6 5 4 4 5 6 8 7 6 7 7 7 8 8 7 6 5 6 7 6 6 6 6 7 7 8 9 9 10 10 10 10 10 9 10 11 11 12 11 11 10 11 11 11 10 10 9 7 7 6 6 8 9 11 12 12 11 11 11 11 11 11 11 12 11 10 10 10 9 6 5 4 6 9 9 9 10 10 11 10 9 9 8 7 7 7 6 6 7 7 7 7 7 7 8 8 8 nan
nan 7 8 8 7 7 7 7 6 7 7 7 7 8 9 8 8 9 8 9 9 9 8 8 8 7 7 7 8 7 7 9 10 10 10 10 10 10 10 9 8 6 7 8 8 8 8 11 12 11 9 8 7 5 4 3 3 3 4 6 6 5 8 12 15 12 7 6 6 6 5 4 6 7 7 7 6 7 7 7 8 8 6 5 5 5 6 7 7 7 7 6 6 8 8 9 10 10 11 11 11 10 10 10 10 11 11 10 10 10 10 10 9 9 7 6 6 5 5 6 9 11 12 12 12 11 11 11 10 10 10 11 12 11 10 10 9 7 6 4 4 6 8 9 11 12 11 11 10 9 8 8 7 7 6 6 6 7 7 7 7 8 8 8 7 nan
nan 8 8 7 7 6 6 6 6 8 9 9 8 9 9 8 8 8 8 9 10 10 10 9 8 7 7 7 8 7 7 9 10 11 11 10 10 10 10 10 9 7 7 7 7 7 7 10 12 12 12 10 8 6 4 4 6 8 7 7 7 7 8 10 11 8 7 8 10 8 6 6 6 6 7 7 6 6 6 7 7 7 7 5 5 5 6 7 8 8 7 7 8 8 9 9 10 10 11 12 11 11 10 10 10 10 11 10 9 9 10 9 8 7 7 6 4 3 4 6 8 10 10 12 12 12 10 9 9 8 9 10 11 11 10 10 11 10 8 6 4 4 6 8 9 11 12 11 10 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 7 nan
nan 7 8 7 6 6 6 6 8 9 9 10 10 10 9 9 9 9 9 9 10 11 11 10 8 7 7 7 8 8 9 10 12 12 11 11 10 11 11 10 9 8 7 6 7 7 7 9 11 12 13 13 12 8 6 6 7 10 11 9 8 8 8 9 8 7 7 10 12 9 7 6 6 7 8 7 6 6 6 7 7 6 6 5 4 5 5 7 7 8 8 7 8 8 8 9 10 10 10 11 12 11 11 10 10 10 10 9 8 7 7 7 5 5 4 3 2 3 6 7 7 8 9 11 12 11 10 10 8 7 8 9 9 10 9 10 10 11 10 8 7 5 5 7 7 8 9 9 9 9 9 8 8 7 7 8 7 7 6 7 7 7 7 8 8 nan
nan 7 8 8 8 7 6 7 8 8 10 10 10 10 9 9 9 9 9 9 10 11 11 10 9 8 8 8 8 10 10 12 13 12 11 11 12 11 11 10 8 8 7 7 8 8 8 8 10 12 12 12 13 12 10 9 9 11 12 11 11 11 10 8 7 8 8 9 10 9 8 7 6 8 9 8 6 6 7 8 7 6 5 4 4 4 5 6 7 8 8 8 8 8 8 8 10 10 10 11 11 10 11 11 10 10 9 9 7 6 7 6 6 7 6 5 6 8 8 9 9 9 9 10 11 11 12 10 9 8 7 8 8 8 8 9 10 11 11 11 9 7 6 6 5 5 5 6 6 7 7 8 8 8 8 7 7 7 7 6 7 7 7 7 7 nan
nan 9 9 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 9 10 10 10 9 9 9 9 9 10 11 11 11 11 11 11 12 12 10 9 8 7 7 8 8 8 8 8 9 9 9 10 12 13 13 12 11 11 12 12 12 13 13 10 8 8 8 7 6 6 7 8 8 9 10 9 7 7 8 9 8 6 5 4 4 4 5 5 6 7 8 8 8 8 8 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 11 11 10 9 9 10 11 11 11 11 11 11 12 11 11 10 9 8 8 8 7 8 8 9 10 10 11 9 9 8 7 6 6 5 5 5 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 11 10 9 10 11 11 9 9 8 8 8 8 8 8 9 9 8 8 8 8 9 10 10 9 9 9 9 9 9 10 9 10 10 10 10 10 10 10 9 8 7 7 8 8 9 9 9 8 7 6 8 11 12 13 12 12 12 12 11 11 12 12 11 8 8 8 7 6 5 4 6 9 11 12 9 7 6 8 10 10 9 6 4 3 4 5 6 6 7 8 8 9 9 9 10 10 10 10 9 9 9 9 8 8 9 9 9 9 9 9 10 11 12 10 6 6 8 10 11 12 13 13 13 13 12 11 11 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 6 5 4 5 5 5 6 6 7 7 7 7 7 7 7 7 6 nan
nan 14 12 10 9 10 11 11 10 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 9 10 9 8 9 10 9 8 8 9 8 7 6 7 10 12 11 11 11 11 10 11 11 11 10 9 9 8 8 8 7 6 5 4 6 8 9 9 8 7 10 12 10 10 8 4 3 4 5 6 6 6 7 8 10 10 11 11 10 9 9 9 9 8 8 7 8 8 9 9 9 9 9 10 10 9 4 2 5 8 10 12 13 14 15 16 15 13 11 11 11 10 9 9 10 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 6 5 5 5 5 5 6 7 7 7 7 6 6 7 6 nan
nan 12 11 9 8 9 10 10 9 10 9 8 7 7 7 7 8 8 7 7 8 8 9 9 9 9 8 8 8 8 8 7 7 8 8 8 9 8 8 9 10 10 10 10 9 9 9 9 8 8 8 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 6 7 6 6 6 4 4 6 8 8 11 12 9 8 6 5 4 4 5 5 6 7 7 8 9 10 11 10 10 9 9 9 9 9 7 7 7 8 8 8 8 9 9 9 9 7 4 4 6 8 10 13 14 15 17 18 18 16 14 13 11 10 10 10 9 9 8 7 7 7 6 7 7 7 7 8 8 8 8 9 8 8 8 6 6 5 5 6 6 6 7 7 6 7 7 7 7 nan
nan 8 9 9 8 8 9 9 9 10 10 9 8 7 7 7 7 8 7 7 8 8 8 9 9 9 8 8 8 9 9 8 8 8 8 9 9 9 8 8 9 10 10 8 8 8 9 9 9 9 10 9 9 9 8 9 8 9 9 8 9 8 8 7 8 10 10 9 7 5 4 8 7 5 5 5 6 5 6 8 9 8 7 6 5 5 5 5 6 7 7 8 9 10 10 10 9 9 8 8 9 9 8 8 7 7 7 7 8 9 9 8 8 7 4 2 4 8 11 12 12 14 15 17 18 18 17 15 13 12 12 11 10 10 9 8 7 7 7 6 7 7 7 8 8 8 9 9 9 8 8 7 7 6 5 6 6 6 6 7 7 7 7 7 8 nan
nan 6 7 8 8 8 8 9 9 10 10 9 7 7 8 8 7 8 8 8 8 8 8 9 9 9 9 8 9 9 9 9 8 8 9 9 9 9 8 7 9 10 9 8 8 8 8 9 10 11 10 9 8 8 9 8 7 7 7 8 7 7 7 6 7 8 9 10 10 7 5 5 5 5 7 8 7 6 6 5 5 7 6 6 5 5 5 6 7 7 8 8 9 9 10 10 9 8 8 8 9 8 8 8 7 6 6 7 7 8 8 7 7 4 -1 -2 4 10 12 11 11 12 12 12 13 16 17 16 15 15 15 14 13 12 11 10 9 8 7 8 7 7 7 7 7 8 8 8 9 9 9 8 8 8 7 7 6 6 6 6 7 7 7 7 7 nan
nan 6 7 8 9 9 9 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 9 9 9 9 9 9 9 9 9 9 8 8 7 8 10 9 9 8 8 8 10 10 10 10 9 9 9 9 8 8 7 6 6 7 7 6 6 7 8 8 8 9 9 7 5 5 7 9 10 8 7 6 5 5 6 5 4 5 6 5 7 7 8 7 8 9 9 9 9 9 8 8 9 9 9 9 8 7 6 6 6 6 6 4 3 4 -1 -4 -1 6 10 11 11 11 11 10 9 9 11 13 14 15 17 17 17 17 16 14 13 11 10 10 9 9 8 8 8 8 8 7 8 9 8 9 9 9 9 9 8 7 7 7 6 6 6 5 6 6 nan
nan 7 8 9 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 9 8 8 8 9 9 10 10 9 8 9 9 7 7 6 7 6 7 7 7 8 8 7 7 7 7 7 6 5 6 8 10 11 11 9 7 7 5 6 7 5 5 6 6 7 8 8 7 8 9 9 8 8 7 7 8 9 9 9 9 7 7 6 5 5 2 4 3 -2 -2 -0 2 5 7 8 9 10 10 10 10 9 9 8 9 11 13 14 15 17 17 17 17 16 14 13 13 12 11 10 10 9 9 8 8 8 8 8 8 8 8 9 10 10 9 9 8 7 7 6 6 6 6 nan
nan 8 8 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 9 9 9 9 9 8 8 7 8 8 9 9 8 9 9 8 8 8 8 8 9 9 9 9 9 8 7 7 6 7 7 7 8 8 9 9 8 6 5 6 7 6 5 6 7 9 10 11 11 11 9 7 7 6 6 6 6 8 9 9 8 8 8 9 9 9 8 7 7 7 8 9 9 9 7 6 5 5 5 3 5 4 -3 -4 5 11 8 6 6 7 9 11 10 10 9 9 9 9 10 11 12 13 15 16 17 17 17 17 16 15 14 13 13 12 12 12 11 10 9 9 8 8 8 8 9 9 10 10 10 9 9 8 8 8 8 7 nan
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nan 7 9 9 10 12 14 14 12 11 11 11 10 9 9 8 8 7 7 7 9 13 15 14 12 11 12 12 13 14 17 20 20 15 11 11 12 13 12 10 8 9 10 12 13 13 12 11 11 10 10 11 11 11 11 11 11 11 10 10 9 9 9 11 12 11 7 8 10 11 12 13 13 13 13 13 12 12 13 13 12 13 13 14 15 16 18 18 17 15 13 12 11 10 10 9 9 9 8 7 8 9 9 8 7 6 5 5 6 7 10 12 12 12 14 16 16 17 16 14 12 11 11 12 13 13 14 14 15 15 15 16 18 19 15 10 10 11 11 10 10 12 14 14 13 13 12 13 14 13 14 14 13 13 15 19 20 19 18 18 18 16 15 13 12 nan
nan 5 7 7 9 12 14 15 13 12 11 10 10 10 11 9 8 8 8 8 11 14 16 18 17 16 17 17 17 18 20 21 17 12 10 12 12 12 13 12 10 10 10 11 13 13 12 11 11 11 11 13 13 12 12 12 11 12 11 11 10 9 10 12 13 10 6 8 11 13 15 15 14 13 12 11 11 11 11 11 12 12 12 13 15 17 18 17 15 13 11 9 9 9 8 7 7 7 6 5 4 5 5 4 3 2 1 -1 -0 3 8 11 12 13 14 15 15 15 14 12 11 10 10 10 10 10 11 13 12 11 12 14 19 21 18 13 10 8 9 10 10 10 13 14 13 12 11 13 14 14 14 13 13 13 14 16 20 20 19 18 18 17 15 13 12 nan
nan 7 7 8 11 13 14 15 14 14 13 11 10 10 10 9 8 8 9 10 12 15 18 21 22 22 21 21 20 20 20 17 13 10 11 12 11 12 12 12 11 10 10 11 11 11 11 12 11 11 12 12 13 13 12 11 11 11 11 11 9 8 10 11 10 8 8 11 15 17 18 16 13 11 10 9 9 10 10 10 11 11 10 11 13 15 14 13 12 11 10 8 7 6 6 5 5 4 4 3 2 3 2 2 2 1 1 1 1 0 2 4 6 9 11 12 11 9 10 10 11 10 9 8 7 8 9 10 9 9 10 14 18 19 18 15 12 10 10 10 9 10 11 13 13 11 11 12 13 14 13 14 13 12 12 13 16 19 19 20 20 18 16 14 12 nan
nan 8 10 12 16 17 17 16 14 15 15 12 10 10 8 7 7 9 10 10 11 12 15 20 23 22 22 21 19 18 16 12 9 7 8 10 11 11 12 12 12 12 11 10 10 11 12 12 12 12 11 11 12 12 12 11 10 10 10 9 8 7 8 8 7 7 9 14 18 18 17 13 10 9 9 9 8 8 9 10 9 10 10 11 11 11 10 9 9 8 8 8 7 7 7 6 6 6 6 6 6 5 5 5 6 6 6 8 8 5 2 1 3 7 10 10 9 9 9 10 10 9 8 7 7 8 9 9 9 9 9 11 12 13 15 16 15 12 13 11 10 10 11 13 13 12 13 13 13 13 13 13 13 12 12 11 13 16 18 21 23 20 17 16 13 nan
nan 11 14 17 21 19 16 14 13 14 15 13 11 10 8 7 8 10 11 11 9 8 9 12 16 18 19 19 18 16 13 8 6 6 7 8 9 10 11 11 13 14 12 11 10 11 12 13 13 12 11 10 10 11 10 9 9 9 9 8 7 6 5 5 6 7 10 15 18 17 14 11 10 9 9 10 10 10 10 10 9 9 10 9 8 7 7 7 7 8 9 8 9 11 12 12 12 12 12 11 12 12 11 12 12 13 14 16 15 13 11 8 8 9 10 9 8 8 9 10 10 10 9 8 8 9 10 10 10 8 8 10 11 12 13 15 16 14 13 11 11 12 12 14 14 13 13 12 13 13 13 13 13 13 12 12 13 14 17 21 23 23 21 19 16 nan
nan 15 17 21 21 17 14 11 11 12 14 14 13 12 10 8 6 4 8 10 9 7 6 7 10 12 15 17 19 20 16 11 8 8 9 9 9 10 12 12 12 12 11 10 10 10 11 12 12 12 11 9 9 10 10 9 9 8 8 8 8 7 5 4 5 8 11 16 18 16 12 10 10 10 11 12 12 12 11 11 10 9 9 8 7 7 6 5 6 8 8 8 10 13 16 17 18 19 19 18 17 16 16 18 20 22 23 21 19 18 17 15 11 10 9 7 7 8 8 11 10 10 9 9 8 9 9 8 9 8 10 13 14 13 12 14 15 15 13 12 11 13 13 14 15 14 13 13 15 15 14 14 14 13 13 13 14 13 15 18 18 20 22 25 23 nan
nan 17 17 18 17 16 13 10 10 11 12 13 13 15 15 13 8 -2 -0 8 8 8 7 6 7 10 12 16 21 24 20 15 11 9 9 9 9 10 11 12 9 8 8 7 6 5 7 9 10 11 11 10 9 9 11 12 10 9 8 8 8 7 5 5 6 9 13 15 16 15 12 11 10 11 12 13 13 12 12 11 10 10 9 9 8 7 7 7 6 7 7 7 9 12 16 17 18 20 22 21 18 17 17 17 19 21 22 20 18 16 16 16 14 13 11 8 9 10 10 10 10 8 7 7 8 9 9 8 9 12 16 15 14 13 12 14 14 13 13 13 12 13 13 13 13 13 12 13 15 16 14 15 15 14 14 14 14 14 13 14 14 14 16 22 25 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
67 67 62 51 41 37 35 31 25 22 21 24 30 38 43 42 38 34 28 20 16 14 12 8 6 6 6 5 4 3 2 1 1 1 1 2 5 8 8 6 2 0 0 0 0 0 0 0 0 0 0 0 0 3 2 2 2 4 4 4 1 0 0 0 3 5 7 9 10 12 12 12 13 16 19 26 42 71 104 127 136 144 165 192 205 207 202 191 177 169 170 177 178 170 164 167 174 176 165 142 136 132 124 118 111 99 80 63 51 49 60 81 106 130 149 155 150 136 119 103 95 90 86 79 66 56 56 64 73 80 85 91 101 113 121 120 111 103 100 102 102 101 97 90 76 61 49 45 51 62 71 72 72 71 69 67 63 60 61 61 61 60 56 54 59 72
75 74 68 56 48 48 48 42 33 26 23 23 27 34 37 36 32 27 21 15 12 13 13 10 8 7 7 6 6 4 4 3 1 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 9 9 7 6 7 8 7 4 1 0 0 2 4 7 9 11 13 14 14 14 15 18 21 29 51 84 114 126 130 138 154 170 180 183 182 178 172 163 161 165 163 159 163 173 179 169 149 141 138 130 119 110 102 93 81 67 58 56 58 67 83 106 129 144 146 133 114 98 89 86 84 77 68 62 62 65 68 72 78 93 114 132 137 130 118 111 108 105 102 99 95 86 76 66 59 56 56 54 52 53 54 51 45 40 38 40 45 49 51 53 55 59 70
82 81 76 64 57 56 57 52 43 34 29 25 26 30 31 29 25 21 16 11 9 9 9 8 8 8 7 7 6 6 6 4 2 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 1 2 4 7 12 17 18 16 13 15 16 15 10 3 0 0 1 3 6 8 10 11 12 13 13 13 14 14 15 24 47 78 92 97 103 116 131 143 152 158 164 169 162 157 157 156 155 160 170 173 162 149 143 140 133 122 110 102 100 96 85 78 73 67 60 55 63 88 118 137 139 127 108 92 85 84 83 80 74 70 68 67 66 68 79 100 124 139 141 136 128 120 113 106 100 94 87 80 76 72 68 59 46 39 40 41 39 36 33 32 34 36 41 47 50 54 59 66
88 90 86 76 67 62 60 58 52 44 38 32 30 28 24 21 19 16 12 8 6 7 7 7 7 7 7 7 7 7 6 4 2 0 0 0 0 0 0 0 1 2 4 6 7 6 4 3 2 4 7 11 20 27 30 28 26 25 24 22 13 4 0 0 0 1 2 5 7 8 10 11 11 11 11 10 10 11 17 29 40 48 59 74 92 109 123 136 148 157 160 158 154 152 156 163 174 175 162 151 144 140 136 129 116 105 104 104 98 92 88 85 78 66 53 56 80 110 131 136 124 104 90 85 86 85 79 75 73 70 65 62 64 78 100 122 139 145 142 134 123 111 101 91 83 77 75 76 75 68 52 41 38 34 33 33 35 39 41 42 44 49 51 55 59 64
95 97 94 86 78 71 65 62 59 53 46 41 36 28 22 19 17 13 9 6 5 5 5 5 5 6 7 7 7 6 4 2 1 0 0 0 0 0 0 1 3 6 10 12 12 10 6 4 3 5 8 12 25 36 36 32 28 25 25 23 14 5 1 0 0 0 0 2 4 6 8 9 10 10 10 9 9 8 9 11 14 20 28 40 56 75 93 111 130 143 151 155 157 155 161 169 180 186 174 160 148 140 137 135 128 117 112 108 104 99 97 98 100 94 75 54 56 77 105 127 134 124 106 95 91 86 80 76 73 70 66 61 57 62 75 95 120 139 145 140 129 115 102 90 80 73 71 74 78 76 58 50 44 38 36 38 42 49 54 55 55 56 56 57 60 65
102 103 101 93 85 78 73 68 66 60 53 48 41 33 27 23 20 15 10 8 6 6 6 5 5 5 6 6 6 4 2 2 4 4 2 0 0 0 0 2 6 9 11 12 12 10 7 6 4 4 7 11 20 29 32 27 25 25 24 20 13 6 1 0 0 0 0 1 2 4 6 8 9 9 10 9 9 9 10 11 12 14 18 25 35 49 65 84 107 126 138 149 157 158 168 174 183 191 187 173 156 141 134 136 136 130 122 115 108 103 102 107 117 122 108 77 58 59 76 99 119 129 124 115 106 96 86 77 72 70 69 66 61 58 61 71 89 111 127 131 126 115 104 93 80 71 68 71 79 77 63 55 51 48 48 52 57 62 65 65 64 63 62 61 63 69
106 105 104 98 89 82 78 75 73 66 59 52 45 39 35 31 26 19 15 11 8 8 7 6 6 5 5 5 4 3 1 2 3 4 1 0 0 0 0 2 5 7 8 8 9 9 8 8 6 6 7 10 12 13 17 20 25 27 23 18 12 5 2 2 3 0 0 0 1 3 5 7 9 10 10 10 9 10 11 12 13 15 17 22 28 36 47 62 81 102 120 134 146 157 166 168 176 188 194 187 170 149 133 134 136 133 127 119 112 108 107 115 128 133 125 105 82 66 62 71 90 108 119 122 119 111 99 87 77 71 70 70 67 62 59 61 69 84 101 111 113 110 103 92 80 73 71 76 81 79 70 63 59 60 62 67 73 73 73 72 70 69 68 64 66 76
106 105 103 99 92 86 81 78 75 68 62 57 52 46 42 37 31 23 19 15 13 10 9 7 6 6 5 5 4 2 1 0 1 1 0 0 0 0 0 0 2 3 3 4 5 6 9 9 8 7 9 11 10 5 2 10 22 25 22 16 10 8 13 16 16 10 12 4 1 2 4 7 9 10 11 11 11 11 11 12 14 15 17 20 25 30 37 47 61 80 101 121 139 158 163 168 168 176 190 195 183 152 131 126 130 129 124 120 117 118 114 118 129 137 136 124 104 83 64 54 62 78 96 108 116 117 112 102 91 83 78 76 73 70 64 60 60 68 78 88 93 93 89 84 78 76 79 84 89 88 82 75 72 71 72 73 76 78 79 80 78 75 73 71 76 88
103 102 100 97 92 86 81 76 71 65 62 60 57 53 48 41 33 26 22 19 16 14 12 10 9 7 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 7 8 8 8 9 9 6 2 1 7 12 13 12 10 7 7 12 18 23 21 13 4 1 2 3 5 7 8 10 11 12 12 13 13 14 15 16 18 22 27 31 37 46 61 80 104 130 157 166 176 175 164 175 191 186 151 121 114 120 125 126 123 126 131 126 122 125 133 140 138 123 101 79 59 50 51 63 79 92 103 108 108 104 98 92 87 83 79 73 66 63 63 65 70 74 74 71 70 71 71 77 84 90 94 90 84 79 76 73 71 73 76 80 84 86 84 82 82 89 102
96 98 96 92 87 81 75 70 65 60 59 58 58 57 52 44 35 28 25 22 20 18 16 14 11 9 7 6 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 7 7 7 6 4 2 4 6 5 5 4 5 5 4 5 17 27 21 15 6 1 1 1 2 3 5 6 8 10 12 13 14 15 16 16 17 19 23 27 32 38 49 64 87 117 149 167 176 177 168 163 180 186 171 143 126 122 124 132 134 137 146 143 136 128 125 133 140 138 120 96 76 56 41 37 45 59 76 88 97 102 103 100 97 93 88 83 76 70 65 62 60 60 58 55 54 54 55 60 68 76 82 83 80 76 71 66 64 66 72 78 83 89 92 93 94 99 110
89 92 93 88 80 72 66 63 59 56 54 54 54 55 54 47 37 32 28 26 24 22 20 18 16 12 9 8 7 5 4 3 2 2 3 2 1 0 0 0 0 0 0 0 0 2 4 6 7 7 6 5 4 4 5 5 5 6 7 7 7 5 4 7 7 5 5 4 0 0 0 0 0 1 2 3 5 8 11 13 16 18 19 19 18 19 22 27 33 42 55 74 102 135 160 169 168 167 165 172 182 188 181 163 144 134 141 147 148 154 155 151 143 132 128 131 136 128 107 90 74 51 31 23 28 43 58 73 85 94 98 100 98 93 89 85 78 71 65 58 53 49 47 44 40 37 38 42 50 56 61 63 62 60 58 57 60 67 75 81 86 92 98 101 104 110
86 85 84 81 73 64 58 56 55 53 52 52 52 54 53 47 38 34 32 30 29 27 25 23 22 18 14 12 12 11 9 7 6 7 7 5 3 2 1 0 0 0 0 0 0 2 4 5 6 6 6 6 6 6 7 7 8 10 11 11 10 7 7 8 6 4 2 0 0 0 0 0 0 0 0 0 1 3 6 10 13 17 20 21 20 19 19 22 27 35 46 61 84 116 150 164 162 161 164 165 172 183 191 189 179 167 162 162 159 157 156 154 154 151 140 131 124 118 107 97 89 73 48 29 20 22 31 44 59 74 86 98 102 98 92 87 83 77 70 62 56 51 47 42 34 27 24 25 29 34 39 43 47 49 50 53 59 67 75 80 84 89 97 104 108 110
83 79 74 70 65 60 55 54 54 54 53 53 53 53 49 43 39 38 36 35 35 33 30 27 27 25 22 19 17 16 13 10 9 11 10 8 7 5 3 2 1 0 0 0 0 1 2 3 4 5 6 7 7 7 8 9 11 12 13 12 12 12 12 12 10 7 3 0 0 0 0 0 0 0 0 0 0 0 2 5 9 13 18 22 23 21 19 19 22 27 35 47 64 90 125 154 164 164 160 158 160 170 185 201 210 205 190 181 172 162 156 155 157 159 156 145 130 117 107 98 93 87 71 50 32 22 19 23 32 46 62 82 98 105 102 94 84 78 74 69 63 57 52 45 35 26 21 21 24 28 31 34 38 43 49 54 62 72 81 86 89 92 99 106 111 114
80 74 67 63 62 60 58 56 57 57 57 56 54 51 47 43 44 43 42 42 42 38 34 30 31 32 30 26 23 21 18 14 11 12 14 15 15 12 8 5 3 0 0 0 0 0 0 1 3 4 6 8 8 8 9 11 13 14 14 14 14 16 16 16 14 10 3 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 15 21 24 24 22 20 20 23 27 35 46 65 94 134 166 172 163 153 150 158 174 202 217 217 203 191 181 172 163 158 159 158 158 153 144 132 116 102 93 88 82 70 53 37 27 23 21 27 38 55 76 95 107 111 100 86 79 75 71 65 59 50 39 29 24 23 24 27 30 33 36 43 52 60 69 79 88 94 96 98 103 109 113 117
77 72 66 63 64 65 63 61 61 62 62 59 54 49 48 51 52 52 52 52 48 42 36 32 34 36 34 30 28 27 26 22 15 13 21 33 37 28 16 13 7 0 0 0 0 0 0 1 4 6 8 9 10 10 10 12 14 15 16 16 17 18 18 18 15 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 12 17 21 22 23 22 22 23 25 29 35 47 70 108 157 178 170 154 146 149 160 186 199 201 198 191 183 179 176 166 158 156 156 154 150 144 130 112 98 89 83 77 68 57 46 38 31 27 27 34 49 70 95 120 124 108 96 88 82 75 68 57 45 35 29 26 26 27 29 31 35 41 51 62 72 80 89 96 99 102 106 110 114 118
77 74 69 67 69 72 71 69 67 66 65 63 56 50 55 58 60 62 63 59 49 41 34 33 35 36 33 32 34 37 38 36 24 18 32 52 61 48 26 22 12 3 1 0 0 0 1 3 8 11 13 13 12 11 11 12 14 16 18 20 21 21 20 17 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 11 14 17 20 22 24 25 27 30 33 42 59 88 131 160 162 152 144 142 147 162 174 185 192 195 194 187 191 179 161 151 151 152 149 145 139 126 110 96 86 78 72 66 60 54 48 40 33 31 35 47 69 95 115 121 116 107 98 89 81 68 54 43 35 31 29 27 27 28 30 35 42 51 61 70 78 84 88 93 98 103 108 112
80 78 76 74 76 79 78 76 74 72 70 66 58 51 56 62 65 66 63 56 46 39 33 34 36 34 32 35 41 47 51 48 38 28 37 50 53 46 32 29 16 9 5 3 2 3 5 8 13 17 19 18 15 14 14 14 16 20 22 24 25 24 21 16 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 9 11 14 17 21 24 27 32 36 45 58 80 106 128 140 141 138 135 136 143 152 164 182 199 210 206 211 199 177 159 154 151 146 142 140 136 126 109 94 82 74 68 64 61 58 54 48 42 39 41 50 66 86 104 114 115 109 103 94 81 66 53 44 37 33 30 26 24 24 26 30 36 44 53 62 68 73 78 83 88 93 100
84 83 81 80 82 84 82 77 74 72 70 67 59 55 58 63 64 61 56 49 42 38 37 38 38 36 37 40 46 51 57 59 53 44 42 45 45 40 36 32 27 21 16 11 9 9 12 15 20 22 23 22 20 19 20 20 22 25 27 28 26 23 19 14 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 7 9 10 12 15 19 24 29 36 46 58 75 94 112 125 131 131 129 129 133 139 150 168 190 208 215 217 210 201 192 177 157 147 142 140 141 138 124 107 90 79 70 63 60 58 58 57 55 52 48 47 50 58 72 86 97 98 98 95 85 73 61 51 42 37 32 27 24 23 24 26 28 34 42 52 59 65 70 73 77 82 87
88 86 85 84 86 86 81 75 70 67 67 67 63 61 61 61 58 53 49 44 40 38 40 42 41 40 42 45 50 55 65 70 70 61 49 40 38 38 42 44 43 39 32 26 21 18 20 24 27 28 27 26 26 26 28 29 29 31 31 29 26 22 18 12 4 0 0 0 0 0 0 0 0 0 0 0 1 4 5 4 4 5 6 7 8 9 9 10 11 14 18 23 31 40 52 66 84 102 116 124 126 125 125 129 134 141 156 179 201 212 216 216 211 205 197 177 163 154 147 144 142 135 120 104 89 76 66 58 54 54 57 59 60 59 56 52 51 54 58 66 72 75 76 74 68 60 52 44 39 34 30 28 28 29 30 31 35 42 49 56 62 67 70 72 75 78
92 88 85 84 87 87 78 69 63 63 66 67 66 63 57 51 47 44 41 38 40 40 42 43 43 45 47 50 54 60 72 78 88 83 61 40 38 41 49 60 62 56 52 51 42 29 30 30 32 32 30 28 29 32 35 36 36 36 33 30 25 21 17 12 3 1 0 0 0 0 0 0 0 0 0 0 5 12 14 13 13 12 11 11 11 11 10 11 12 12 15 19 25 33 44 56 70 87 102 112 119 122 126 131 137 145 158 182 200 212 220 219 218 209 206 199 190 180 170 157 149 146 135 123 108 91 75 62 54 52 53 56 60 63 64 64 61 58 55 55 56 56 56 57 57 53 48 43 39 35 32 32 35 38 40 40 42 44 48 53 57 60 63 65 67 69
95 90 84 80 82 80 70 61 56 57 60 62 61 56 47 38 34 34 33 32 39 41 42 44 47 51 54 55 58 63 71 81 84 82 72 53 47 49 62 72 74 68 64 63 58 43 38 38 37 34 32 30 32 36 40 41 41 38 33 28 23 20 16 12 7 2 0 0 0 0 0 0 0 0 1 6 17 24 24 19 19 17 14 13 13 13 13 14 15 16 18 20 25 31 40 50 62 74 87 98 107 116 125 134 145 158 180 199 209 216 226 228 221 219 225 220 210 199 186 176 165 156 149 142 132 116 99 81 68 61 57 56 57 61 66 72 74 72 70 67 65 62 58 55 54 52 48 44 40 37 36 36 41 46 49 49 47 46 46 48 51 53 55 58 60 61
98 92 83 76 73 67 59 53 51 52 53 53 51 48 43 38 35 33 32 31 35 39 43 49 54 56 57 57 59 62 68 78 83 85 84 77 69 67 74 77 76 73 67 63 63 53 43 40 39 38 36 34 35 39 43 46 44 37 30 24 21 18 15 13 10 4 0 0 0 0 0 0 0 0 3 13 27 30 26 18 16 13 12 11 12 13 15 16 18 20 22 25 29 35 43 51 60 70 81 90 99 108 118 131 146 168 189 203 208 211 216 214 204 208 222 226 218 211 202 189 176 167 157 150 145 138 127 112 96 83 72 64 60 59 63 69 75 79 81 83 84 83 80 74 69 63 58 53 48 44 41 41 45 49 52 52 50 47 45 45 47 49 51 53 54 54
100 92 81 71 64 57 51 46 45 46 45 42 39 39 39 38 36 34 34 34 37 43 51 58 62 59 55 54 58 62 67 70 73 80 89 93 92 93 94 89 86 82 76 72 69 56 47 46 48 46 41 38 38 41 46 49 44 34 24 19 18 16 14 13 12 6 0 0 0 0 0 0 0 0 1 7 18 20 13 9 7 5 4 6 8 10 13 15 18 21 24 27 32 37 46 55 63 72 81 91 100 108 115 124 138 156 170 182 191 196 204 194 179 185 206 222 222 217 210 203 198 186 171 158 153 151 149 142 130 114 98 84 74 67 66 67 71 75 79 84 90 94 98 96 91 86 80 73 64 56 50 46 47 50 52 53 52 49 47 46 46 48 50 52 52 51
98 90 79 69 63 56 48 43 39 37 36 30 29 28 29 31 33 34 36 39 45 53 63 68 66 60 56 63 67 64 66 69 71 75 82 90 99 105 108 106 101 98 90 77 72 55 47 44 47 47 40 38 37 40 48 50 42 29 19 14 14 12 12 11 9 5 1 0 0 0 0 0 0 0 0 0 2 0 0 1 1 1 1 1 2 6 8 11 14 18 21 26 30 36 45 55 65 74 84 98 114 124 128 136 140 142 147 150 159 168 178 185 192 191 194 206 213 205 196 192 191 190 182 163 145 152 155 155 150 140 128 114 99 87 79 74 71 71 72 75 79 84 89 94 97 98 97 93 84 72 62 56 52 52 54 55 55 54 52 51 50 50 51 52 52 51
98 88 78 72 65 56 49 44 38 31 31 27 24 22 22 24 28 34 40 47 55 63 69 69 64 59 58 65 64 63 65 69 72 76 92 74 89 94 107 114 113 109 103 88 72 54 44 40 30 16 28 33 33 37 46 47 38 24 14 10 9 9 8 8 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 9 13 18 24 33 44 56 67 77 90 120 136 144 144 143 140 136 142 139 134 134 136 143 153 162 172 190 194 189 185 184 185 187 188 168 139 142 149 150 149 149 151 146 133 116 101 89 81 75 72 71 69 69 71 75 80 86 93 96 96 88 78 70 64 61 60 60 60 61 60 59 58 56 56 55 55 54
100 91 82 76 67 58 52 48 42 33 26 26 24 22 21 22 27 36 45 56 64 70 72 70 61 55 56 61 61 61 62 65 73 88 93 78 84 88 98 110 115 113 108 99 79 58 44 34 25 19 24 28 30 30 36 38 30 18 8 6 6 6 5 5 4 2 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 6 13 27 42 56 67 74 85 124 138 143 146 147 144 138 140 143 144 146 136 121 121 128 143 167 174 172 173 178 182 182 185 175 161 159 159 150 134 132 157 162 158 147 132 116 103 93 85 78 71 64 60 60 62 65 73 80 85 88 86 82 78 74 71 69 68 69 69 68 67 65 63 61 60 57
104 98 90 82 74 65 58 52 46 38 29 28 28 28 28 30 37 47 57 67 74 76 74 67 55 50 52 55 56 56 55 57 63 71 72 78 92 97 93 94 103 107 106 102 86 66 42 22 16 20 16 21 25 21 20 21 16 10 3 3 3 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 1 4 17 32 44 53 58 67 94 115 127 133 137 134 130 128 127 141 151 146 135 130 120 133 150 154 154 156 163 169 171 168 166 164 161 160 159 151 146 161 170 170 167 161 148 132 120 108 97 88 81 72 66 62 59 59 62 67 73 79 81 81 80 79 78 76 77 77 75 72 69 68 67 65 62
109 106 98 90 83 76 68 60 50 43 36 35 37 39 41 45 53 63 73 80 82 78 69 59 51 44 44 43 43 44 46 50 56 64 75 83 102 111 103 91 95 101 104 99 84 74 59 40 47 40 28 21 20 15 8 5 4 2 1 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 6 14 23 27 33 44 62 88 109 115 120 118 118 113 110 118 128 132 129 129 132 136 136 133 134 136 139 142 140 137 137 136 131 124 125 136 148 161 170 174 174 174 171 158 146 133 122 112 105 98 88 78 68 60 55 55 58 64 68 72 75 77 79 80 82 82 79 75 73 72 70 69 66
113 111 104 95 88 80 72 64 55 49 45 42 43 50 58 62 69 77 86 90 85 75 64 52 42 34 33 32 32 36 42 50 63 76 102 89 92 102 102 93 95 98 99 93 85 83 80 73 61 48 36 27 21 13 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 0 1 2 5 7 12 21 35 53 72 88 92 94 97 97 96 99 103 107 113 112 114 121 120 114 114 111 108 107 107 106 105 104 100 93 86 91 108 129 146 159 166 168 169 166 159 151 141 130 123 116 107 94 81 68 59 54 53 53 56 59 63 67 71 76 79 82 81 79 77 76 74 72 69
114 112 104 96 89 80 72 65 61 56 55 55 56 66 78 80 83 88 95 94 84 72 61 48 39 34 32 33 34 37 42 53 73 97 114 104 94 89 86 88 85 88 90 88 88 89 86 80 66 56 41 24 14 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 1 6 14 25 36 46 56 66 74 79 83 85 88 92 96 96 97 98 97 93 91 84 75 70 70 72 73 73 70 61 49 50 66 88 110 128 140 147 153 157 159 157 148 136 128 122 114 104 90 77 66 59 54 51 50 50 52 55 59 64 70 74 78 79 79 78 77 75 72
113 108 101 95 90 82 74 68 66 66 67 69 74 83 92 95 93 95 99 94 84 72 60 50 42 38 35 36 42 50 58 65 77 87 100 112 111 94 74 72 72 84 88 89 91 92 88 86 82 65 33 11 3 4 2 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 1 3 6 11 18 27 34 42 49 56 58 58 68 67 62 61 61 60 62 61 56 45 37 37 41 45 46 44 39 31 29 37 53 73 91 108 122 135 142 150 154 146 135 125 118 113 107 98 87 76 66 59 53 49 46 46 48 50 54 59 63 69 75 77 77 76 75 73
107 103 98 94 91 87 82 76 74 75 78 85 92 99 101 103 101 97 95 90 79 67 55 47 41 38 35 36 43 55 67 75 80 83 85 90 93 84 65 69 68 86 91 92 95 93 81 90 91 85 66 36 12 9 4 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 1 1 4 10 14 18 22 23 22 22 18 19 20 19 18 22 25 24 20 15 15 19 23 24 28 32 31 26 21 29 42 57 73 92 105 105 129 141 142 134 124 115 108 106 102 96 88 79 70 62 56 51 50 51 51 52 54 57 63 69 72 73 72 71 70
98 96 95 94 92 90 86 80 78 82 89 99 108 113 113 111 106 96 88 78 68 56 47 43 38 34 32 34 43 57 68 70 71 77 81 82 80 79 80 86 74 90 96 94 96 91 83 86 82 77 73 61 38 23 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 1 2 4 4 4 4 4 2 2 2 2 1 2 4 5 4 4 4 7 9 12 19 30 38 31 19 19 25 34 45 61 82 91 110 129 139 138 130 117 107 104 101 97 93 88 81 73 67 64 64 66 65 62 60 62 66 68 70 69 68 66 63
88 88 90 93 93 92 87 80 80 88 100 112 122 125 121 112 104 92 80 69 57 47 41 40 36 30 29 32 38 45 51 52 55 63 72 79 84 89 96 97 84 84 85 88 97 98 96 86 74 64 63 66 68 56 42 32 13 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 1 2 3 5 8 14 24 35 32 22 18 20 26 35 46 63 83 103 120 132 138 136 126 116 108 101 95 91 89 86 82 77 73 73 76 77 74 71 72 74 76 74 70 66 63 59
80 82 86 89 92 91 89 87 91 99 110 121 128 130 123 110 99 86 73 61 51 44 40 37 33 31 28 26 28 32 38 40 45 53 64 74 81 86 95 98 89 75 65 70 88 104 112 96 77 64 62 70 78 76 68 64 56 35 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 1 0 0 0 0 0 1 3 6 8 10 14 18 24 24 21 18 20 26 37 45 54 71 91 109 120 126 130 128 125 118 108 98 90 88 87 88 87 85 80 76 77 75 75 77 81 83 81 77 72 66 61
74 76 80 84 88 90 92 96 101 107 114 119 120 118 110 98 87 77 67 57 50 44 41 36 30 25 20 16 19 28 36 40 43 49 55 60 66 76 90 99 93 72 54 60 77 84 104 101 83 66 65 72 74 70 68 66 59 45 31 14 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 2 3 4 4 3 2 2 4 7 11 15 18 20 21 23 23 20 16 16 22 34 40 46 60 79 99 110 115 118 122 125 124 116 107 97 91 89 90 93 96 92 80 77 74 73 74 79 83 85 82 78 72 66
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