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 9 11 12 12 11 10 8 8 8 9 10 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 13 14 15 15 14 13 11 10 8 7 7 7 7 7 7 7 8 10 11 11 11 10 9 8 8 9 10 10 12 13 14 14 13 11 9 6 6 8 13 15 13 12 11 11 11 12 13 13 12 10 8 8 9 9 9 8 8 7 7 7 7 7 6 6 5 5 5 5 5 5 6 6 5 5 5 5 5 6 7 8 10 11 13 14 14 11 8 7 6 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 8 8 7 7 7 7 8 10 13 16 20 23 22 19 17 16 15 15 13 11 nan
nan 9 10 12 13 14 12 10 9 9 9 11 11 11 11 11 11 11 11 10 10 10 10 11 12 12 11 11 11 12 13 15 16 16 15 14 13 11 9 8 7 7 7 7 7 8 8 9 10 10 10 10 9 8 7 8 8 9 10 12 13 14 13 11 8 5 3 5 9 13 12 10 9 9 9 9 10 11 10 6 4 4 6 8 8 7 7 7 7 7 7 7 6 6 5 5 4 4 4 5 5 5 5 5 5 5 5 5 6 7 9 10 11 12 12 9 8 7 6 6 6 7 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 9 9 8 8 8 8 7 7 7 8 8 10 12 14 18 21 21 19 17 13 11 10 8 7 nan
nan 7 8 9 11 13 12 11 9 9 10 11 11 11 11 11 11 11 11 11 10 10 11 11 12 12 12 12 11 12 13 14 15 15 15 15 13 12 11 9 8 7 7 7 7 7 8 8 9 9 9 9 8 7 7 7 8 8 8 9 11 12 11 11 9 6 4 5 8 11 10 9 8 8 8 8 8 7 6 2 0 1 3 7 9 9 8 7 7 7 7 7 6 6 5 5 4 4 4 4 4 5 5 6 6 6 5 5 6 7 8 9 10 10 9 9 8 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 8 9 10 12 15 17 18 17 14 11 8 7 6 5 nan
nan 7 7 8 10 12 11 9 8 8 9 9 10 11 11 11 11 11 11 11 11 10 10 11 12 12 12 12 11 11 12 13 13 14 15 15 14 13 12 10 9 8 7 7 7 7 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 10 10 10 10 9 8 9 11 11 10 9 8 7 7 7 7 6 4 3 1 1 2 4 6 8 9 9 9 8 8 7 7 6 5 5 4 3 3 3 3 4 5 5 6 6 6 6 6 6 7 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 7 8 8 8 8 8 7 7 7 8 9 9 11 12 13 14 14 11 9 7 6 5 5 nan
nan 8 8 9 10 12 12 10 8 7 7 8 8 9 10 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 14 14 14 13 12 10 9 8 8 7 8 8 8 8 8 7 6 5 6 7 8 9 9 10 10 10 10 9 9 10 10 11 10 10 11 10 10 9 9 8 8 7 5 4 3 4 3 2 1 0 2 6 9 11 10 10 9 9 8 7 7 6 5 4 4 3 3 3 3 4 4 5 6 7 7 7 7 7 8 8 8 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 7 8 8 8 8 8 7 7 7 8 8 7 8 8 9 9 10 10 10 11 10 9 7 6 5 5 5 nan
nan 9 8 9 10 12 13 13 12 11 9 8 7 8 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 12 11 10 9 9 9 9 9 10 10 9 9 8 6 5 5 7 9 10 10 10 11 12 12 10 9 9 10 10 10 10 8 8 7 8 9 9 9 7 5 4 5 6 6 5 2 -0 0 3 7 10 11 11 10 10 10 9 9 8 8 7 6 5 4 3 3 3 3 4 5 6 6 7 7 7 8 8 7 7 6 6 6 6 6 6 7 6 6 6 5 5 5 6 6 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 8 7 7 6 6 6 6 nan
nan 9 8 9 10 11 13 14 15 15 14 11 9 9 9 9 9 9 9 10 11 12 12 11 11 10 11 11 10 11 11 12 12 11 11 11 11 11 10 9 9 9 9 10 11 11 11 11 11 9 7 7 7 8 10 11 10 9 10 12 13 12 10 9 10 10 10 10 10 10 8 8 9 10 11 10 9 9 9 9 9 8 6 3 2 3 6 9 11 11 11 11 11 10 10 10 9 9 8 8 7 6 5 4 3 3 3 3 4 5 6 7 7 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 8 7 7 7 7 7 6 6 6 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 nan
nan 9 9 8 8 9 10 12 14 16 16 14 12 11 11 12 11 10 9 9 10 11 12 11 10 9 9 10 10 10 11 11 11 10 10 9 9 9 8 7 8 8 9 10 12 12 12 12 12 11 10 9 9 9 11 11 10 9 9 11 13 12 11 11 10 9 10 11 13 13 12 11 10 11 12 13 13 12 11 11 10 10 9 7 5 3 4 7 10 11 11 11 11 11 10 10 10 10 10 10 9 9 8 7 6 4 3 3 3 3 3 4 5 5 5 5 4 4 4 4 3 3 3 3 3 3 4 4 4 5 5 5 6 6 6 6 5 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 nan
nan 10 9 8 8 7 8 9 10 12 14 15 15 14 14 15 14 13 11 10 10 11 12 12 10 9 8 9 10 10 10 10 9 9 8 8 7 7 7 7 8 9 10 11 12 12 12 12 12 11 11 12 11 11 11 11 11 10 8 8 10 11 11 10 10 9 9 10 12 14 15 14 12 11 11 12 12 11 11 10 11 10 10 8 6 4 2 4 8 10 11 11 11 11 10 10 10 10 10 10 10 10 10 9 8 7 6 4 3 3 2 2 3 3 3 3 4 4 5 4 3 2 2 2 2 2 3 3 3 3 3 4 4 4 4 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 nan
nan 10 10 9 9 7 6 7 7 9 11 13 14 13 14 15 16 16 15 13 12 13 13 12 11 9 8 9 10 10 10 9 9 8 8 7 7 8 8 9 9 9 10 11 12 12 12 11 10 10 11 11 11 11 10 10 11 10 8 6 6 7 8 8 9 9 9 9 10 11 13 13 12 11 9 9 10 10 10 10 10 10 10 9 7 4 2 3 5 8 11 11 11 10 10 10 10 11 11 11 10 10 10 10 10 9 9 8 6 5 5 4 3 3 4 5 5 6 6 6 5 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 nan
nan 10 10 11 10 9 7 6 6 6 7 8 10 11 11 12 13 14 15 15 14 13 12 11 11 10 10 10 11 11 10 10 10 10 10 9 9 10 10 10 9 9 9 10 10 11 11 10 9 9 9 9 8 8 8 8 9 9 8 5 4 4 5 5 6 7 8 8 8 9 10 11 11 10 9 9 9 9 9 10 10 10 10 10 9 6 3 3 3 7 10 11 11 11 11 11 10 11 11 10 11 11 11 11 11 11 11 10 9 9 8 7 7 7 7 8 8 9 9 9 8 8 8 8 7 7 7 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 7 7 nan
nan 10 10 11 12 11 9 8 6 5 5 5 6 8 9 9 9 9 10 12 12 11 11 10 10 11 12 12 12 11 11 11 12 13 13 12 11 10 10 9 9 8 8 9 9 10 10 10 10 9 8 8 7 6 6 6 7 8 7 5 3 3 3 3 4 5 6 7 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 10 8 6 4 3 6 8 10 11 11 10 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 nan
nan 9 10 11 11 11 11 10 8 7 6 5 6 7 9 10 9 8 8 8 10 11 10 9 9 10 11 12 12 11 10 10 11 12 13 12 11 10 9 8 9 9 9 8 8 9 10 10 10 10 10 9 9 8 7 7 7 7 7 6 5 3 3 3 3 4 6 7 8 9 8 8 7 8 9 9 9 9 9 9 9 10 10 11 11 10 9 6 4 5 7 9 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 8 8 8 8 8 nan
nan 9 9 10 10 11 11 10 9 8 7 7 7 8 10 11 10 9 8 8 9 11 11 10 8 8 9 10 11 10 9 8 8 9 10 10 10 9 9 9 10 10 10 9 8 8 10 11 12 12 12 11 11 11 10 9 9 9 9 8 7 5 4 4 4 5 6 8 9 9 9 8 7 8 8 9 8 8 9 9 9 9 10 10 11 11 10 8 7 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 nan
nan 9 9 10 10 10 10 10 9 9 8 8 7 8 9 10 10 9 8 8 9 10 10 9 8 8 7 8 9 9 8 7 6 7 8 9 9 9 9 10 11 11 10 9 8 8 9 11 12 12 12 12 12 12 11 11 11 10 11 11 10 9 8 7 7 7 8 9 10 10 9 9 9 9 8 8 7 7 7 8 8 9 9 10 10 10 10 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 9 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 nan
nan 9 9 9 10 10 11 10 10 10 9 8 7 6 7 8 10 10 10 9 8 9 9 9 8 8 8 8 9 9 8 7 7 7 8 8 8 8 9 10 10 11 10 9 9 9 9 10 11 11 11 11 10 10 11 11 11 11 12 13 12 12 11 11 10 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 9 9 9 9 9 9 9 7 6 5 5 5 6 7 8 9 9 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 9 9 10 10 11 11 11 11 11 10 9 7 6 6 7 10 12 12 12 10 9 9 8 8 9 10 10 10 9 8 8 8 7 7 7 7 8 10 11 11 11 11 10 10 10 10 9 9 9 8 9 9 9 9 10 10 10 11 12 13 13 13 13 12 10 9 9 8 8 7 8 8 8 9 9 9 8 8 8 8 7 7 7 8 9 10 10 8 5 3 2 2 2 3 3 4 5 6 7 8 8 9 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 8 8 8 9 9 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 7 nan
nan 9 9 10 10 11 11 11 11 11 10 9 7 7 7 8 10 12 13 13 13 12 11 10 10 11 11 11 11 10 9 8 8 7 7 6 7 8 10 12 13 13 12 12 11 10 9 8 7 7 7 8 8 9 9 9 9 9 10 10 11 12 12 12 11 10 9 8 8 7 7 6 7 7 8 8 9 9 9 9 8 7 6 7 8 9 10 9 8 6 4 3 3 3 3 3 2 1 2 3 4 5 7 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 nan
nan 9 10 10 10 11 11 11 11 11 10 9 8 7 7 8 9 10 11 12 13 13 13 12 12 11 11 11 11 11 11 10 9 8 7 6 7 8 10 11 13 13 13 12 11 9 8 7 7 7 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 8 8 8 7 7 6 6 7 7 8 9 8 8 7 7 8 8 8 9 8 8 7 7 7 7 7 7 6 5 3 2 2 2 3 4 6 7 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 7 7 7 6 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 nan
nan 9 10 10 10 11 11 11 11 11 10 10 9 8 8 8 8 9 9 9 10 11 11 12 11 11 10 10 10 11 12 12 10 9 7 7 7 8 9 10 11 12 12 11 10 9 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 7 6 6 7 7 7 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 10 10 10 9 8 6 5 4 5 5 5 6 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 nan
nan 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 8 7 8 8 9 9 9 9 9 9 10 11 11 11 10 8 7 7 8 9 10 10 10 10 9 8 9 9 10 10 10 9 9 9 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 6 6 7 7 8 9 11 13 13 12 11 10 8 8 8 7 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 nan
nan 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 8 7 7 6 6 7 8 8 8 8 8 9 9 10 10 10 9 8 8 8 9 9 9 9 8 7 7 9 9 10 10 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 9 8 8 8 7 8 8 8 8 8 8 8 8 7 6 6 6 5 5 5 5 6 8 10 11 11 11 9 9 9 10 9 8 7 7 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 9 8 8 8 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 9 8 7 7 7 7 7 8 8 8 8 8 8 9 9 10 10 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 8 7 6 6 5 5 5 5 6 6 7 7 7 7 6 6 7 8 8 7 6 6 6 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 7 6 6 6 7 7 7 6 6 6 6 5 5 6 6 6 5 5 5 5 5 6 7 8 8 8 7 6 5 6 8 9 9 8 8 8 8 7 7 7 7 7 7 7 6 6 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 nan
nan 10 10 10 10 9 10 10 10 10 10 9 8 8 8 8 8 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 7 8 8 8 9 9 9 8 9 8 8 9 9 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 7 6 6 6 6 6 7 7 8 7 7 6 6 7 9 10 9 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 nan
nan 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 8 9 9 9 9 9 9 8 8 8 7 8 7 7 7 7 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 9 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 6 6 6 6 6 6 6 6 6 6 6 nan
nan 10 10 10 10 9 8 8 8 9 9 9 10 10 9 9 7 6 6 6 7 7 7 8 9 10 10 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 9 10 10 10 10 10 11 10 9 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 nan
nan 10 10 10 10 9 8 8 8 8 9 9 10 10 10 10 9 8 7 7 7 6 6 6 7 8 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 9 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 8 8 7 7 8 8 9 9 10 9 9 9 10 10 11 11 10 9 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 9 9 11 12 13 15 15 14 12 9 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 7 7 7 6 6 6 6 6 nan
nan 9 10 10 9 8 8 7 7 8 9 9 10 10 10 10 10 9 9 8 8 7 7 7 8 8 9 10 11 11 10 10 9 9 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 8 7 7 6 6 7 8 8 9 9 9 9 9 10 11 11 11 11 10 10 9 8 8 8 8 8 8 9 9 8 8 8 8 9 9 9 9 10 12 14 16 17 17 16 13 10 8 7 7 7 7 6 6 7 8 9 9 9 8 8 8 8 7 7 7 7 7 6 7 6 6 7 7 7 7 6 6 6 6 nan
nan 9 9 10 9 8 8 8 7 7 8 9 9 10 10 10 10 10 9 9 9 8 8 9 9 9 9 10 11 11 11 11 12 11 10 9 8 7 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 9 8 7 6 6 7 7 8 8 9 9 8 8 9 9 10 11 11 11 11 11 10 9 9 8 8 8 8 9 9 9 9 8 8 8 9 9 10 12 14 15 15 14 14 14 12 10 8 7 7 6 6 5 5 6 7 8 9 9 8 8 8 8 8 7 7 7 7 6 6 6 6 6 7 7 7 7 6 6 6 nan
nan 9 9 9 9 8 8 7 7 7 7 8 8 9 9 9 9 9 9 8 8 9 9 10 10 10 10 10 10 10 11 11 12 12 11 10 10 9 9 8 8 8 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 7 7 7 8 8 8 8 9 8 8 8 8 8 9 10 10 10 11 11 11 11 10 9 8 8 9 9 9 9 9 9 8 8 8 10 12 14 15 15 12 10 10 11 10 9 8 7 7 6 6 5 5 5 5 7 7 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 7 7 7 7 7 6 6 nan
nan 9 9 9 9 8 8 7 7 7 7 7 8 8 8 9 9 9 8 7 8 8 9 10 11 11 10 10 10 10 10 10 11 11 11 11 12 13 12 11 10 9 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 7 8 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 11 11 10 9 9 9 9 9 9 10 10 10 10 9 9 12 14 16 16 14 10 9 9 9 9 9 8 7 7 6 6 5 5 4 5 5 6 6 7 7 8 8 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 nan
nan 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 8 9 10 11 11 11 11 10 10 10 10 10 10 10 11 12 13 14 14 13 12 10 8 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 8 8 7 8 8 9 10 10 10 9 9 8 8 8 9 9 9 9 9 9 10 10 10 9 9 10 10 10 10 11 11 11 10 10 11 13 14 15 14 12 10 9 9 8 9 9 9 8 7 7 6 6 6 5 5 5 5 6 6 7 7 7 7 7 6 6 6 6 5 5 5 5 6 6 7 7 7 7 7 nan
nan 9 9 9 9 9 8 8 8 7 6 7 8 8 8 7 7 8 8 8 8 7 8 9 10 10 10 10 10 9 9 8 8 8 9 9 10 11 12 14 15 14 12 10 9 8 7 7 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 6 6 7 7 8 8 8 8 9 9 9 8 8 7 8 8 9 10 10 10 9 8 8 7 8 9 9 9 9 9 9 10 10 9 9 9 10 10 11 11 12 12 12 11 10 10 12 12 12 12 11 10 9 9 9 9 9 9 8 8 7 7 6 6 6 6 6 5 5 6 6 7 7 7 7 6 6 6 6 5 5 5 6 6 7 7 7 7 7 7 nan
nan 9 9 9 9 9 9 8 8 8 6 6 6 7 7 7 7 6 7 8 8 7 6 7 8 8 7 7 7 7 6 5 5 5 6 8 8 9 10 12 13 13 13 12 12 11 9 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 7 7 7 6 6 6 6 7 7 8 8 7 8 8 8 8 8 8 7 7 8 8 9 9 9 9 8 7 7 8 8 9 9 10 9 9 10 9 9 9 9 10 11 11 12 12 12 12 11 10 9 10 12 13 12 11 9 9 9 8 8 9 9 9 8 8 8 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 nan
nan 9 9 9 9 9 9 9 9 8 7 6 6 6 6 6 6 6 6 7 8 7 6 6 5 5 5 5 4 4 4 4 4 4 5 6 7 7 8 9 10 10 11 13 14 13 12 10 8 8 7 7 7 8 8 8 8 7 8 8 9 9 10 9 9 8 7 7 6 6 6 6 6 7 8 8 8 7 7 7 6 7 7 7 7 7 7 8 8 9 10 9 8 8 8 8 8 9 10 10 10 11 10 9 9 9 9 10 11 12 12 12 12 12 12 10 11 13 15 17 16 12 9 8 8 8 8 9 9 9 9 9 8 8 8 7 7 7 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 nan
nan 8 8 8 8 8 9 9 9 9 8 7 7 7 7 7 6 6 6 7 8 8 7 7 6 5 5 5 5 5 5 6 6 6 5 5 5 6 7 7 8 8 9 11 13 14 13 12 10 8 7 7 8 8 8 8 7 7 7 8 9 10 10 10 9 8 8 7 7 6 5 5 6 7 8 8 8 7 7 6 6 6 6 6 6 6 7 7 7 8 10 10 9 9 8 8 9 10 10 11 11 11 10 9 9 9 10 11 12 12 12 12 12 12 11 11 12 16 19 21 20 15 10 9 8 8 8 8 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 8 7 nan
nan 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 8 8 8 7 7 6 6 6 6 7 7 8 8 8 7 7 6 6 7 7 7 7 8 9 11 12 12 11 10 9 7 7 8 9 9 8 8 6 6 7 8 9 10 10 9 8 8 7 7 6 6 6 6 8 9 9 8 8 8 7 6 6 6 7 7 7 7 7 7 7 9 10 10 10 9 9 9 10 10 11 11 10 9 9 8 8 10 11 12 12 12 11 11 11 11 11 13 16 19 21 19 15 12 10 9 8 8 8 9 9 9 9 9 9 10 10 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 7 7 8 8 8 7 nan
nan 9 8 8 8 8 8 8 8 9 9 8 8 8 9 10 11 10 9 8 8 7 8 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 9 8 8 9 10 11 11 11 11 10 9 8 8 9 9 9 9 8 7 8 8 9 10 9 9 9 8 7 7 7 7 8 8 9 10 11 10 10 9 9 8 8 8 8 8 8 8 7 6 7 8 10 11 11 10 10 10 9 9 10 10 9 9 9 8 9 10 11 12 12 12 11 11 10 10 11 12 14 16 17 16 14 12 11 10 9 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 nan
nan 9 9 8 8 8 8 8 8 8 8 8 8 8 9 10 12 13 12 10 9 8 8 8 7 7 7 7 8 8 8 8 9 8 8 9 9 9 9 10 10 10 10 10 10 10 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 9 8 8 8 9 10 11 12 13 13 13 12 12 11 10 9 9 9 9 10 10 8 7 6 7 10 11 11 10 9 9 8 8 9 9 9 9 8 8 9 9 10 11 11 11 11 11 11 11 11 11 12 14 14 14 14 12 11 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 nan
nan 10 10 9 8 8 8 8 8 8 8 8 8 9 9 10 12 13 13 12 11 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 11 12 11 11 10 11 11 12 12 11 11 11 10 10 9 8 9 10 11 11 11 11 11 12 12 12 11 10 10 10 11 12 13 14 14 13 13 12 11 11 10 9 9 9 10 10 9 8 7 8 10 11 11 10 9 8 8 8 9 9 9 9 8 8 8 9 10 10 11 11 11 11 11 11 11 11 12 13 15 16 15 13 11 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 nan
nan 11 10 10 9 8 8 8 8 8 8 8 9 9 9 10 11 12 13 13 12 11 10 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 10 10 11 11 10 10 9 9 10 10 10 9 9 8 8 7 6 7 8 9 10 9 9 10 12 14 14 13 13 11 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 10 9 9 9 11 11 11 9 8 8 8 8 8 8 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 11 12 13 15 17 16 14 12 11 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 7 7 7 8 8 8 8 8 9 9 9 nan
nan 12 12 11 11 10 9 9 9 9 8 9 10 10 10 11 11 11 12 13 13 13 11 10 9 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 8 9 10 10 9 9 8 8 8 8 8 7 7 6 6 6 7 7 9 10 10 9 8 8 10 13 13 13 12 11 10 9 9 8 8 8 9 9 9 9 8 8 8 8 9 10 10 10 10 10 10 10 11 11 10 9 8 8 8 8 8 9 9 9 9 8 9 9 9 9 8 8 9 9 9 10 10 11 12 14 16 17 16 15 12 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 12 12 11 10 10 9 9 8 8 8 8 8 8 8 8 10 11 11 11 nan
nan 14 14 14 14 13 12 11 10 10 10 10 10 10 11 11 11 11 12 13 14 14 13 11 10 9 9 8 8 8 8 8 8 8 7 7 6 5 5 6 7 9 10 10 9 9 8 8 8 8 8 8 7 7 7 8 9 10 11 12 12 11 11 11 11 11 11 11 12 12 11 10 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 12 15 17 18 17 14 11 11 10 9 9 9 10 10 10 10 10 11 11 11 11 12 12 13 13 13 12 11 10 10 9 9 9 9 9 8 8 10 12 13 14 12 nan
nan 15 16 17 18 18 16 14 13 12 12 12 11 11 11 11 12 12 13 13 14 14 13 11 10 9 9 9 9 8 8 8 8 7 7 7 6 6 5 5 6 8 10 10 10 10 9 9 8 8 9 9 9 8 9 9 10 11 11 12 13 13 13 14 13 12 12 12 13 13 11 9 7 7 6 7 7 7 7 8 8 7 7 8 8 8 9 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 10 11 13 14 17 17 15 13 12 12 11 10 10 10 10 10 10 11 11 11 12 12 12 12 13 14 14 13 12 11 11 10 10 9 9 9 10 10 11 11 11 11 10 nan
nan 13 13 16 19 20 21 19 17 16 15 14 12 11 11 12 13 14 14 14 13 13 12 11 10 9 9 9 9 9 8 8 7 7 7 7 7 6 5 5 6 7 9 10 11 11 11 10 9 9 10 10 10 9 9 9 9 9 10 11 12 13 14 15 15 14 14 14 14 12 10 7 5 5 5 6 6 7 7 8 8 7 8 8 8 8 9 10 10 9 9 8 8 9 11 11 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 10 10 10 10 10 10 10 11 12 13 14 14 14 13 14 14 13 12 11 11 10 10 10 10 10 11 11 11 11 12 13 14 13 13 12 11 11 10 10 9 10 11 11 11 9 7 6 7 nan
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nan 9 9 9 10 10 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 12 11 10 10 9 9 9 9 9 9 10 11 12 12 12 11 11 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 11 11 10 10 11 11 11 11 11 11 11 10 10 10 11 11 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 8 8 8 8 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 11 11 10 9 8 7 6 6 6 8 10 11 12 12 14 16 17 15 14 15 14 13 10 9 7 6 5 5 5 6 8 8 7 6 6 nan
nan 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 13 12 11 10 9 9 8 8 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 10 10 10 10 11 11 11 11 11 11 10 10 11 12 12 12 11 11 11 11 11 10 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 9 9 9 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 9 8 6 4 4 4 5 6 8 9 10 11 13 16 17 17 18 19 19 19 18 16 13 9 7 4 2 2 2 2 1 -0 -1 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 11 11 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 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 9 8 6 5 4 4 6 8 9 10 10 10 11 12 13 14 15 17 18 20 22 24 24 22 19 16 11 6 3 2 1 -2 -4 -6 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
76 67 52 36 36 65 112 178 253 357 460 540 595 660 660 620 566 527 541 634 635 624 650 706 720 689 639 631 603 502 488 480 442 376 282 188 101 47 17 6 7 8 8 8 8 7 7 7 5 4 3 2 2 1 2 2 2 2 2 1 1 2 2 3 3 2 3 3 3 4 5 4 4 5 6 6 5 5 5 6 8 11 9 8 7 7 8 8 9 8 6 4 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 3 4 5 7 7 9 12 11 9 7 5 4 3 3 3 3 3 3 4 4 4 4 4 4 5 8 12 26 49 64 69 73 80 88 98 109 125 165 228 318 436 603 794 912 910 751 556 554 565 585 645 788 941 993
107 69 35 17 22 43 55 101 187 298 399 467 503 550 544 507 457 408 390 433 474 518 576 639 674 643 582 541 509 419 320 304 322 292 197 119 67 32 13 6 7 8 9 9 10 10 9 7 6 4 3 2 1 1 1 1 1 1 0 0 0 0 0 1 2 1 2 3 4 4 4 5 6 8 9 10 9 8 8 8 10 13 12 11 10 9 8 9 10 10 9 6 1 1 0 0 0 1 1 1 1 1 1 2 2 2 1 1 2 4 6 8 9 10 13 13 11 8 5 4 3 3 3 3 3 4 4 4 4 5 5 5 5 5 6 12 28 48 48 50 58 68 72 77 88 117 164 222 305 447 631 818 972 857 755 670 584 524 551 628 734 731
148 94 61 44 45 66 61 100 167 237 306 369 411 452 475 480 465 421 381 371 373 392 434 495 587 594 555 502 431 320 229 191 181 165 114 62 27 10 5 4 6 8 9 11 12 12 10 8 6 4 3 2 1 1 1 1 2 2 1 0 0 0 0 0 0 0 0 1 2 4 5 6 8 11 13 14 14 15 16 19 21 21 20 19 18 16 14 12 10 8 5 3 1 1 1 0 0 1 0 1 1 1 1 2 2 2 2 1 2 3 6 8 10 10 10 10 9 8 5 4 3 3 3 3 3 3 3 3 3 4 4 5 5 5 6 6 13 27 32 34 45 58 50 45 47 60 87 118 176 278 415 574 842 977 966 871 734 613 579 599 559 438
187 122 78 67 79 80 67 66 71 99 163 238 290 332 371 411 446 433 370 328 301 292 315 361 455 502 494 436 334 203 134 103 89 74 47 18 4 1 2 2 5 6 9 12 14 13 11 8 7 5 4 2 2 2 2 2 3 2 1 0 0 0 0 0 0 0 0 0 1 2 3 5 9 14 18 19 19 21 26 31 31 29 26 23 17 16 16 12 7 4 2 2 1 1 1 1 1 0 0 0 0 0 1 1 1 2 3 2 2 3 4 7 10 10 8 7 7 6 5 4 3 3 3 3 3 3 2 2 2 3 4 4 5 6 6 7 7 10 14 17 27 36 31 22 17 18 34 60 110 175 254 381 601 799 895 874 701 530 423 341 247 144
222 153 101 81 71 57 44 44 47 59 99 148 189 227 269 311 325 365 353 302 235 187 219 247 316 381 406 364 246 149 95 69 51 27 11 3 0 0 0 2 4 6 8 11 13 13 12 11 9 7 6 5 5 5 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 5 12 18 24 28 30 34 33 29 22 16 13 10 8 7 5 5 3 3 4 3 3 2 2 2 1 1 1 1 0 0 0 0 2 2 2 2 3 3 4 6 7 6 5 5 4 4 3 3 2 3 3 3 3 3 3 3 3 4 4 5 5 7 8 8 8 8 6 13 15 15 14 10 9 16 34 62 99 159 250 362 467 553 539 408 263 136 71 51 31
224 176 138 110 78 50 30 33 51 72 91 101 120 136 152 186 227 279 311 296 227 120 112 127 176 246 305 274 180 112 73 51 31 13 5 2 0 0 0 1 3 6 8 10 12 15 15 14 13 12 11 11 10 10 8 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 12 21 25 26 20 15 10 8 8 8 7 6 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 2 1 1 0 0 1 2 3 3 3 3 3 3 3 3 2 2 2 2 3 2 3 3 4 4 5 5 5 6 6 7 8 9 11 13 15 15 14 16 20 23 22 20 19 20 26 41 65 106 160 213 254 283 257 201 129 58 25 12 5
225 200 167 126 80 58 38 33 41 50 45 54 66 76 91 121 152 195 232 239 193 93 47 43 71 116 158 133 91 55 33 20 13 7 3 1 0 0 0 1 3 6 9 10 15 20 23 22 18 16 19 19 18 18 16 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 6 4 4 4 5 6 6 8 9 7 6 5 5 5 5 4 4 5 5 5 5 5 6 6 5 4 3 2 0 0 0 1 2 2 4 5 5 4 3 3 2 1 1 2 3 3 4 4 5 5 6 7 7 8 9 11 13 15 18 21 24 25 25 25 27 31 33 31 28 26 23 32 46 68 96 130 155 163 151 123 91 51 27 12 4
221 203 165 140 101 66 47 40 35 25 11 18 31 42 50 56 84 121 153 161 133 79 34 15 22 43 50 44 34 23 16 11 7 5 3 1 0 0 1 3 5 8 11 14 20 27 31 28 21 23 26 28 28 28 26 17 8 2 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 5 8 8 6 5 5 5 5 5 5 5 5 5 5 7 8 8 8 7 7 6 3 1 0 0 1 1 2 4 5 7 7 5 3 1 1 1 2 3 4 4 5 6 7 8 9 10 12 14 16 20 23 26 30 33 35 34 33 34 31 27 24 21 19 20 25 37 51 74 92 102 102 88 70 48 29 14 7
177 165 127 127 95 73 59 47 36 23 13 13 22 32 32 25 22 48 87 101 96 77 42 15 10 14 31 42 33 17 13 11 10 8 7 4 3 2 4 7 9 9 14 19 24 29 31 27 22 25 29 33 35 36 30 18 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 5 6 6 6 6 6 5 4 5 5 5 5 5 6 8 8 9 9 8 8 7 4 2 0 0 0 0 1 1 2 5 7 6 3 1 1 1 1 2 3 3 4 5 6 7 8 9 10 13 14 19 26 31 34 34 34 31 27 22 18 15 15 12 9 8 15 24 37 50 61 70 68 63 49 32 16 21
154 164 120 100 73 57 49 41 26 16 9 6 11 18 22 24 26 32 43 51 58 65 53 29 13 5 4 9 10 7 8 10 13 16 17 18 17 15 16 15 12 10 16 21 25 28 31 28 24 25 27 30 32 32 23 11 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 1 3 3 5 5 5 5 4 4 4 4 4 4 5 6 6 7 8 8 8 9 9 7 5 3 1 1 1 0 0 0 4 10 11 6 3 3 3 2 2 2 2 2 2 4 4 4 6 9 12 15 21 26 28 29 27 25 23 21 18 15 10 7 5 4 3 5 10 16 28 40 50 59 66 66 57 47 56
120 173 152 106 60 32 26 25 13 6 2 1 4 9 18 30 33 27 18 20 27 44 55 45 26 9 2 2 3 1 3 6 15 24 28 30 33 37 36 28 18 16 18 21 24 28 31 28 26 25 25 24 23 20 12 5 0 0 0 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 3 3 4 5 4 4 4 4 4 4 3 4 4 4 5 5 7 7 7 7 7 6 5 4 3 2 2 2 4 9 11 9 6 6 6 5 5 4 4 4 3 2 2 3 3 4 3 7 10 13 16 19 18 17 18 18 15 12 9 5 3 3 3 4 4 7 14 24 29 36 45 58 73 69 66 65
141 196 193 149 79 22 11 8 3 1 0 0 0 2 10 19 23 21 12 14 17 28 42 49 38 18 6 2 1 0 0 3 12 23 28 28 28 31 35 34 26 21 20 22 25 28 31 32 31 29 26 23 19 13 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 1 2 3 2 2 3 5 4 4 4 4 4 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 4 4 5 4 4 5 5 6 6 6 6 6 6 5 5 5 6 5 3 3 3 3 3 3 3 4 5 7 5 5 5 5 6 6 5 4 4 5 5 6 6 5 8 13 15 18 23 34 45 47 42 41
214 241 235 198 124 43 17 5 1 0 0 0 0 4 7 12 18 20 10 8 9 14 22 27 26 18 10 6 4 1 0 2 8 16 22 24 25 26 28 28 26 24 24 25 26 28 30 33 36 35 30 25 20 13 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 4 4 5 4 3 3 3 3 3 3 3 2 2 2 2 2 3 3 4 4 5 6 6 8 8 9 17 12 11 9 7 8 9 17 25 24 17 22
228 263 262 226 160 81 36 13 6 4 2 4 3 2 4 8 13 17 9 3 2 5 10 11 10 9 8 9 7 3 1 2 8 16 28 33 33 31 28 25 27 26 25 26 28 29 31 35 37 36 32 28 23 17 10 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 1 1 3 4 4 5 6 8 12 13 10 8 11 12 13 11 8 9 8 10 11 10 9 19
206 274 287 253 194 131 85 57 34 16 11 9 8 6 6 6 6 10 7 3 1 1 2 1 1 2 5 11 8 5 2 2 5 14 28 35 37 37 36 33 34 33 28 24 23 24 27 29 29 29 30 29 26 23 19 14 10 6 3 2 1 0 0 1 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 2 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 4 4 6 7 7 7 7 8 8 8 7 6 7 7 7 9 10 10 13 22
146 234 278 276 240 184 134 99 69 42 22 12 9 6 3 2 3 4 5 5 3 0 0 0 0 0 1 7 8 7 4 0 1 6 14 22 29 34 38 42 45 43 35 29 23 21 23 25 24 21 26 29 28 27 26 25 22 19 17 12 9 7 7 8 4 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 2 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 4 4 5 6 6 6 6 6 6 5 5 5 5 5 8 9 12 15
68 141 199 232 244 205 159 118 83 50 26 15 9 6 2 1 3 3 3 3 1 0 0 0 0 0 0 3 5 6 6 1 0 3 7 11 16 21 28 37 42 41 38 34 30 28 26 24 21 19 24 29 29 28 28 30 30 27 25 23 20 18 17 19 19 18 15 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 3 3 2 3 4 4 5 5 5 5 5 5 5 4 4 4 5 6 8
22 56 98 148 208 200 171 133 96 63 43 22 12 10 7 5 6 5 5 3 2 0 0 0 0 0 0 1 1 2 3 1 0 1 1 2 6 9 16 23 29 33 34 33 31 28 25 21 18 20 24 28 28 26 25 27 29 29 28 27 25 23 22 21 21 20 15 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 3 3 2 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 4
4 14 35 76 134 161 165 149 118 87 66 38 17 9 7 7 7 6 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 10 17 24 28 28 26 24 21 18 14 12 15 19 24 24 23 22 23 24 25 25 25 26 24 22 20 20 16 9 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 2 2 2 2 2 2 2 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 3 2 2 2 3 3 2 2 1 1 1 1 1
0 1 7 22 69 120 157 169 150 128 99 63 28 6 6 5 5 5 4 4 2 0 0 0 1 2 1 1 0 0 0 0 0 0 0 0 0 3 8 15 21 24 23 20 16 11 7 5 5 8 11 15 15 15 17 18 20 20 20 20 21 20 18 17 17 15 11 9 8 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 1 1 1 1 2 2 2 2 2 1 1 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 2 2 2 2 2 1 2 2 2 2 2 2 2 1 0 0 0 0 0
0 0 0 2 37 94 151 186 188 158 121 81 40 5 4 3 3 2 2 2 2 1 0 0 2 6 7 5 3 2 1 0 0 0 0 0 0 3 8 13 16 16 14 11 8 3 1 1 2 4 7 9 10 10 10 12 15 16 16 16 16 14 13 11 11 10 10 10 10 9 9 9 5 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 1 2 3 3 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 0 1 0 0 0 1 1 1 1 1 0 1 1 0 0 0
0 0 0 8 41 97 154 180 178 155 124 87 45 11 4 2 2 1 1 0 0 0 0 0 3 7 10 11 8 7 7 4 2 1 0 0 0 3 9 13 13 11 5 0 0 1 2 4 5 5 8 9 7 4 4 6 8 10 12 12 13 12 11 9 7 6 7 7 8 9 10 12 10 8 7 5 3 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 1 2 3 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0
0 0 0 7 27 70 130 163 159 136 105 71 41 16 5 1 0 0 0 0 0 0 0 1 2 4 6 7 8 10 9 8 7 5 2 1 0 2 7 9 8 5 2 1 4 6 7 9 13 13 14 14 13 10 6 5 5 6 7 7 8 7 7 6 5 3 3 3 4 6 7 8 9 9 9 8 6 4 2 1 0 1 1 2 1 1 0 0 0 0 0 0 0 1 2 1 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 1 1 1 2 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 0 0
0 0 0 0 3 25 81 128 141 133 113 86 49 20 4 0 0 0 0 0 0 0 0 0 0 1 1 2 4 6 6 6 7 7 4 2 1 1 1 2 1 0 1 3 6 7 8 8 12 13 15 15 14 13 11 9 7 6 7 4 3 2 2 2 2 2 1 2 2 4 5 5 6 6 7 7 8 8 6 2 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0
0 0 0 0 7 30 76 111 139 147 131 99 54 22 5 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 5 6 4 3 2 1 1 0 0 0 0 0 1 3 5 5 7 10 12 13 11 9 9 8 8 8 7 6 5 3 2 4 3 4 4 5 6 7 6 4 2 1 3 5 6 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 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 5 21 53 91 131 147 125 92 60 40 36 45 28 7 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4 3 2 1 0 0 0 1 1 1 0 1 3 5 5 6 6 5 4 4 4 5 6 6 5 5 5 6 6 5 5 7 7 9 13 13 12 10 6 1 0 1 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 5 3 1 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 2 1 1 1 2 2 2 2 2 1 1 1 1 1 1 1 1 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
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