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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 8 8 8 9 9 9 9 8 8 8 7 7 7 6 6 6 6 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 8 8 8 9 9 9 9 8 9 9 10 10 10 10 10 10 10 9 9 9 9 8 8 7 7 7 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 7 7 8 9 9 10 10 10 12 15 18 21 21 18 14 12 9 7 6 6 7 8 8 8 6 4 3 3 3 4 6 7 7 7 8 9 11 12 11 9 6 5 7 10 12 12 12 11 10 10 10 11 12 13 12 10 8 8 9 9 9 10 10 11 13 13 12 10 9 8 9 9 9 9 8 6 3 2 3 8 12 12 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 7 8 8 8 8 nan
nan 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 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 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 7 7 7 7 7 8 9 9 10 11 11 12 14 17 20 21 19 16 13 12 10 8 7 7 8 8 8 8 7 5 3 3 4 4 5 7 7 7 8 9 10 10 9 6 4 4 6 9 11 11 11 10 9 9 9 9 10 11 12 12 12 12 12 12 12 12 11 9 8 10 10 9 8 8 8 9 10 9 7 5 3 2 3 5 9 11 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 7 6 7 7 8 9 10 nan
nan 7 7 7 6 6 6 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 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 7 7 8 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 8 9 9 10 11 12 12 13 15 18 20 19 17 13 11 9 8 7 7 8 8 8 8 7 6 5 4 4 4 5 6 6 7 7 8 8 9 8 6 4 3 4 6 8 9 9 9 9 9 8 8 8 8 8 10 13 15 15 15 14 13 13 10 6 5 7 9 9 8 8 8 8 8 8 6 5 4 4 4 6 8 9 9 8 8 8 9 10 10 10 10 10 10 9 9 8 8 8 8 8 7 8 9 11 nan
nan 7 7 7 6 6 6 6 6 6 6 6 6 6 6 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 6 6 6 6 6 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 9 10 11 11 12 13 14 16 17 17 16 14 12 10 7 5 5 6 7 8 7 6 5 5 6 5 4 4 5 5 6 6 7 7 7 7 6 5 4 4 6 7 7 7 7 8 8 8 8 7 7 6 7 8 11 14 15 14 13 13 13 11 7 4 5 7 8 8 7 6 6 6 7 7 7 7 7 6 7 8 8 7 7 7 7 8 9 10 10 11 11 10 10 10 9 9 9 9 9 7 7 8 10 nan
nan 7 7 7 7 6 6 7 7 7 7 6 6 6 6 6 6 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 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 8 9 10 11 12 12 13 15 16 16 15 13 13 13 11 8 5 4 6 6 7 6 5 4 5 6 5 5 5 5 6 6 6 6 7 7 7 6 6 6 7 8 7 6 6 6 7 7 7 7 7 6 6 6 7 9 11 12 12 11 11 12 11 9 7 7 7 8 8 7 6 5 6 7 9 10 10 8 8 8 9 8 7 6 5 6 7 8 9 10 10 10 10 11 11 10 10 9 9 8 7 6 7 9 nan
nan 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 9 10 11 11 12 12 13 15 17 16 14 12 13 14 12 9 6 6 7 7 7 6 6 6 6 6 6 6 7 7 7 6 5 6 7 8 9 9 10 9 9 9 8 7 7 8 7 7 7 7 7 7 6 6 7 8 9 10 10 10 10 11 12 12 12 10 8 7 7 6 5 5 6 8 12 12 10 7 7 8 8 8 6 4 4 5 6 7 8 8 9 10 11 11 12 12 11 10 9 8 6 6 7 9 nan
nan 7 6 6 6 7 7 7 7 7 7 7 7 6 6 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 6 6 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 7 7 8 8 9 9 9 9 8 8 9 9 9 9 9 9 9 9 8 8 8 7 8 8 9 10 11 12 12 12 13 15 17 16 14 12 12 12 11 9 8 9 9 9 8 8 8 8 6 5 5 7 8 9 7 6 6 7 9 11 13 13 13 12 11 11 10 10 10 10 9 8 7 7 8 8 7 7 7 7 8 9 10 10 9 10 12 13 13 11 9 7 7 6 5 5 6 10 12 12 9 6 6 6 7 7 6 4 4 4 5 6 7 8 10 12 13 12 12 12 12 11 9 8 7 7 8 10 nan
nan 7 6 6 6 7 7 7 7 7 7 7 6 6 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 11 12 12 12 12 13 15 16 15 13 12 11 9 9 8 7 8 9 9 9 9 9 7 5 4 5 7 8 8 7 5 6 8 10 13 14 15 14 13 12 12 12 12 12 12 11 10 8 8 9 9 9 8 7 7 8 9 9 10 10 10 11 11 11 10 8 8 7 7 5 5 7 10 11 10 7 6 5 5 6 7 7 6 6 6 5 5 5 7 11 14 13 11 11 12 12 11 10 8 7 7 9 12 nan
nan 6 6 6 6 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 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 8 8 8 8 8 7 8 8 8 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 7 7 8 8 9 9 9 8 8 8 8 9 9 9 9 9 10 10 10 9 9 9 9 10 11 12 12 12 12 12 13 14 14 14 13 11 9 6 5 5 4 5 7 9 10 10 9 6 4 3 5 7 7 7 5 4 5 7 9 12 13 13 13 13 12 13 13 13 13 13 13 12 10 10 10 11 10 9 8 7 8 8 9 10 10 9 9 9 9 8 8 8 8 8 7 6 8 9 9 8 7 7 6 5 5 6 7 8 9 8 7 6 6 8 11 12 10 8 9 11 12 11 9 7 7 7 9 14 nan
nan 6 6 6 6 6 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 9 8 8 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 10 10 11 12 12 12 11 11 12 13 13 13 12 11 9 7 5 4 4 3 4 7 10 11 10 8 5 4 4 5 7 7 6 5 4 5 6 8 9 10 11 11 10 10 11 12 13 12 12 12 12 12 12 12 12 11 10 9 9 9 9 9 8 8 7 7 6 7 8 9 9 9 9 8 7 6 6 5 6 7 8 9 7 6 6 7 9 10 9 9 9 8 8 9 8 6 5 7 10 11 10 8 7 6 6 8 13 nan
nan 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 11 11 11 10 10 11 12 12 12 12 12 11 12 13 14 14 13 11 7 5 5 6 7 7 6 7 8 10 11 10 8 5 4 5 7 7 7 6 5 4 4 4 6 7 7 8 7 6 6 8 11 12 11 10 10 11 11 12 12 11 11 10 10 10 10 9 8 6 5 4 4 4 5 7 9 10 10 10 8 6 4 3 2 4 7 10 11 10 8 7 7 8 8 7 6 8 9 8 6 4 3 4 7 10 12 11 9 7 6 6 6 11 nan
nan 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 9 9 9 10 11 11 11 11 11 12 12 13 12 12 12 12 12 13 14 16 15 13 9 4 1 2 6 8 10 10 9 9 10 10 10 8 7 6 7 8 9 9 8 6 4 3 3 4 5 5 5 4 3 4 7 10 11 10 9 9 9 9 9 10 10 10 11 11 11 10 8 6 5 4 4 3 4 4 6 8 10 10 9 7 6 4 2 2 4 7 9 10 10 10 10 9 7 6 3 1 4 7 7 4 2 2 4 7 10 13 13 11 8 6 5 5 10 nan
nan 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 8 8 7 8 8 8 8 7 7 7 8 8 9 9 9 8 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 12 12 12 12 12 12 12 12 12 12 12 12 13 14 15 16 16 14 8 3 0 0 3 5 8 10 10 9 9 10 11 10 8 7 7 10 12 12 10 7 4 2 1 2 3 3 3 3 3 5 7 10 11 10 9 9 8 8 9 9 10 11 11 12 11 9 6 5 6 6 6 6 6 6 6 8 9 9 8 7 7 6 4 4 6 8 8 7 6 9 11 11 9 5 1 -0 2 6 6 4 2 3 5 7 10 12 13 12 9 7 6 6 9 nan
nan 5 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 7 7 6 6 7 7 7 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 12 13 13 13 13 12 12 11 11 11 12 13 13 13 13 13 13 15 14 10 6 2 1 2 4 6 7 7 8 10 11 10 9 7 6 7 10 13 13 11 8 5 2 0 -0 0 1 1 3 5 7 9 11 11 11 9 8 8 9 10 11 12 12 11 12 11 9 8 10 11 11 10 10 9 9 7 7 7 7 7 7 8 7 6 6 7 7 7 5 4 6 9 12 12 8 4 3 4 6 6 4 3 4 6 8 9 11 12 12 12 11 9 8 8 nan
nan 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 9 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 9 10 10 11 12 12 13 13 14 14 14 13 13 12 11 11 11 11 13 13 13 12 11 10 10 12 14 13 9 5 3 3 6 6 6 7 10 12 12 9 7 5 5 6 9 12 12 11 8 5 2 0 -1 -1 -0 1 3 7 10 11 11 11 10 9 8 8 9 10 11 12 12 11 10 9 10 11 13 14 14 12 11 11 10 9 8 7 6 7 8 8 7 7 7 7 7 7 6 5 4 7 12 15 12 8 7 7 7 7 5 4 5 6 8 9 9 10 13 15 16 13 9 7 nan
nan 5 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 10 11 12 14 15 15 16 16 16 16 16 15 14 12 11 10 10 10 11 12 11 10 10 10 9 8 9 12 14 11 6 3 4 6 7 7 9 12 13 11 8 5 5 5 6 9 11 11 10 8 6 3 1 0 0 1 2 5 9 12 12 11 10 10 10 9 8 8 9 9 10 11 11 9 8 10 11 12 12 11 10 9 9 10 11 11 10 9 9 9 8 7 7 6 6 6 6 6 5 4 5 10 14 13 10 9 9 8 8 6 5 5 6 7 7 8 9 13 18 18 15 9 6 nan
nan 5 6 6 6 6 6 6 6 6 5 5 5 5 6 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 13 16 17 18 19 19 20 19 18 17 15 14 13 12 11 10 10 10 9 9 8 9 9 8 7 7 9 11 10 6 4 4 6 8 9 10 11 11 9 7 5 6 7 9 11 12 11 10 9 7 5 3 2 1 2 4 6 10 12 11 10 9 9 10 10 9 8 7 7 8 10 11 10 9 10 10 9 9 9 9 7 6 7 9 10 11 10 9 9 9 8 7 6 5 5 5 6 6 5 4 6 9 10 9 10 10 10 10 8 6 5 5 5 5 7 10 13 16 17 14 10 6 nan
nan 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 8 8 7 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 13 15 18 19 20 21 22 22 21 18 16 15 14 14 13 12 10 9 9 9 9 9 8 8 7 6 4 5 6 7 7 6 7 8 10 11 11 10 9 7 6 6 7 8 11 12 12 11 11 10 9 7 5 3 3 4 5 7 9 10 10 9 8 9 10 11 11 9 7 6 7 9 11 10 10 10 10 9 9 9 10 8 5 4 5 7 9 10 10 9 10 9 7 5 4 4 5 6 7 6 5 4 6 8 8 9 10 11 11 10 8 6 3 2 3 6 10 11 12 13 12 10 7 nan
nan 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 8 8 8 8 8 9 9 10 10 11 10 10 10 10 10 11 11 11 11 11 12 12 12 11 11 11 11 11 10 10 10 11 12 15 18 19 20 21 22 22 21 19 16 14 13 15 16 15 13 11 11 11 11 11 11 10 9 8 7 5 4 5 7 8 9 9 10 11 11 9 7 7 7 7 7 8 10 12 12 12 11 10 10 10 9 7 6 5 5 6 7 8 9 9 9 9 10 11 11 11 10 8 5 5 7 9 10 11 12 11 11 10 11 11 10 8 5 5 5 7 9 10 10 10 9 7 5 5 6 8 8 8 7 7 6 6 7 9 8 9 9 10 10 9 7 4 2 2 4 6 7 8 9 9 8 7 nan
nan 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 8 8 9 9 10 11 11 11 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 11 11 10 10 11 12 16 20 23 25 26 26 24 22 19 16 12 11 11 14 16 15 13 12 12 12 12 12 11 9 8 8 8 9 9 8 9 8 6 6 6 7 7 6 5 6 7 8 9 11 12 13 12 11 10 10 9 9 10 9 8 7 6 7 7 8 8 9 10 11 11 11 11 10 9 8 6 3 4 8 10 11 12 12 11 10 10 11 10 9 7 5 5 7 8 9 9 8 7 6 5 6 9 12 12 10 9 8 7 7 8 9 8 7 6 7 7 8 7 6 5 4 3 4 5 6 7 6 5 5 nan
nan 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 8 9 9 9 9 9 9 9 10 11 11 11 10 10 10 10 11 11 11 12 12 12 13 13 13 13 12 12 11 11 11 13 16 21 26 31 33 32 28 24 19 14 10 8 7 8 10 13 14 14 13 12 11 10 8 6 5 3 4 7 10 12 11 9 6 3 1 2 3 5 6 6 6 6 8 11 14 15 14 13 11 10 9 8 9 9 9 8 7 6 7 7 8 9 11 12 12 12 11 9 7 6 7 5 2 3 7 10 12 12 11 10 9 9 9 9 8 7 6 6 7 8 8 7 7 6 6 7 8 11 14 15 12 10 9 8 8 8 8 8 6 5 5 5 6 7 8 7 6 5 5 6 7 7 5 4 3 nan
nan 6 6 6 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 11 11 11 11 12 12 12 13 13 13 13 13 12 12 11 13 17 22 27 32 35 33 28 23 18 13 8 5 5 5 5 6 9 12 14 14 13 10 7 4 2 0 0 2 6 8 9 7 5 4 2 1 2 4 7 9 9 8 7 9 12 16 15 13 11 10 9 8 8 8 8 7 7 6 5 6 8 9 10 12 13 13 12 11 8 6 4 4 3 1 1 6 9 11 12 11 10 8 7 7 7 7 7 7 7 7 7 7 7 6 6 7 9 11 13 14 14 12 11 10 9 8 8 8 8 7 6 5 5 6 7 8 8 7 6 7 9 9 9 7 5 4 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 6 5 6 6 7 7 6 6 7 6 6 6 6 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 14 14 14 13 13 13 16 20 24 28 30 31 26 20 14 11 8 6 5 6 6 5 4 5 8 11 11 10 7 5 3 2 2 3 5 7 7 5 2 2 3 3 3 4 7 9 12 12 11 10 9 11 12 10 8 7 7 7 7 8 8 8 7 6 5 4 5 7 10 11 12 12 13 12 11 10 7 5 3 1 1 2 5 8 11 12 12 10 8 6 5 6 6 7 8 8 8 8 8 8 7 7 8 10 13 13 12 11 10 10 10 10 9 9 8 8 8 7 6 5 5 5 6 6 6 6 8 10 12 12 10 8 5 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 7 6 6 6 6 6 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 14 15 15 15 15 15 15 18 20 21 21 22 21 19 14 10 8 7 7 7 7 7 5 3 3 4 6 6 5 5 5 6 6 6 7 9 9 8 6 3 2 3 4 4 5 7 9 11 13 13 12 10 9 8 6 5 4 5 6 8 9 10 9 8 6 5 4 5 7 9 11 11 11 11 11 11 10 10 8 5 3 3 4 6 8 10 13 14 13 10 7 5 5 6 8 9 10 10 9 9 9 8 8 7 8 10 11 10 9 8 8 8 8 8 8 8 8 8 8 7 5 4 4 5 5 5 6 9 12 15 15 12 8 5 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 6 7 7 7 8 8 8 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 12 13 13 14 15 16 16 17 17 16 16 17 16 15 14 14 14 13 11 9 9 9 8 6 5 4 3 2 1 1 3 4 5 7 9 11 11 10 9 10 10 10 8 6 5 5 4 4 5 6 7 8 9 11 12 11 10 8 7 6 5 6 8 10 12 12 11 9 7 5 4 5 7 9 10 10 9 8 8 7 8 9 9 7 6 5 6 7 9 11 14 14 13 11 8 7 5 6 8 10 11 11 10 10 9 9 7 6 6 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 5 5 5 5 6 6 7 10 14 16 16 12 7 3 nan
nan 8 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 8 8 9 9 9 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 12 13 15 16 16 18 18 19 18 17 16 14 13 12 11 11 11 10 10 10 10 9 7 3 1 1 2 3 3 2 4 6 9 12 14 14 12 10 9 9 10 10 8 7 5 4 4 5 5 5 5 5 5 7 9 12 12 10 8 7 7 8 10 12 14 14 12 9 6 4 3 4 6 9 10 9 8 6 5 4 4 5 7 8 8 7 7 8 9 11 13 13 11 10 9 8 7 6 8 10 11 12 11 10 9 8 7 5 4 5 6 7 8 8 9 9 8 7 6 6 6 6 7 7 7 7 6 7 7 7 8 10 14 17 16 12 7 4 nan
nan 8 8 8 8 8 8 8 7 7 7 6 6 7 7 8 8 7 8 8 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 9 9 9 9 9 10 10 10 11 11 11 11 11 11 12 13 14 16 17 18 20 20 20 19 17 15 13 11 10 11 12 12 11 10 10 9 8 5 2 1 2 5 7 6 4 4 7 11 15 17 16 13 10 9 8 9 8 7 5 4 4 5 5 6 6 5 4 4 5 7 10 12 10 8 8 9 10 11 12 13 13 11 7 5 2 2 3 6 8 10 10 8 6 3 3 3 5 7 8 8 8 7 7 8 8 10 11 9 8 9 9 9 8 8 10 11 11 11 9 8 7 6 5 5 5 6 7 8 9 10 9 9 7 6 6 6 6 7 9 9 9 8 8 9 9 10 11 13 16 15 11 7 6 nan
nan 8 9 9 9 8 9 9 8 8 7 6 6 6 7 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 9 9 9 9 10 10 10 10 11 11 11 11 11 12 14 16 18 19 21 22 21 20 19 17 15 13 11 11 12 13 13 12 10 8 7 5 4 4 5 8 11 12 9 5 2 4 9 14 17 17 15 12 10 9 8 7 6 4 4 5 6 8 8 8 7 6 5 6 8 9 11 10 8 9 10 10 11 11 11 11 9 7 4 3 2 3 5 8 10 10 9 7 4 4 5 8 9 9 7 6 6 5 6 6 7 8 7 6 7 9 10 10 9 9 9 10 9 8 7 6 5 6 6 7 8 8 9 9 9 9 9 8 7 7 6 6 8 10 10 10 10 11 11 12 11 12 13 14 12 8 6 6 nan
nan 8 9 9 9 9 9 10 9 8 7 6 6 6 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 11 11 12 13 15 18 20 22 23 23 22 20 18 16 15 15 14 13 13 13 12 10 8 5 4 4 5 6 8 11 16 16 12 6 1 1 6 11 15 17 17 15 12 10 8 6 5 4 4 6 8 10 11 12 11 11 10 10 10 9 10 9 9 9 10 11 11 10 10 10 9 7 5 4 4 5 6 8 10 10 10 8 6 6 8 10 10 9 8 6 5 3 3 4 5 6 6 5 6 9 11 11 9 8 8 7 7 7 7 6 6 7 8 9 9 10 11 10 9 8 8 8 7 6 5 6 8 9 9 9 9 10 11 10 10 11 12 13 10 7 6 7 nan
nan 9 9 9 9 10 10 10 10 9 8 6 6 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 11 11 12 13 15 19 22 23 23 22 20 18 16 15 15 15 16 15 13 12 9 6 4 2 2 4 6 8 9 12 15 16 13 8 3 2 5 9 12 15 16 15 12 9 7 6 5 4 5 6 8 10 12 14 15 15 14 13 11 10 9 8 8 8 9 11 11 11 11 10 9 7 5 5 6 7 7 8 9 9 9 8 7 7 9 10 10 9 8 6 5 3 2 2 3 5 7 9 10 11 11 11 9 7 6 5 5 6 7 7 8 8 8 9 9 10 10 9 8 8 8 7 5 4 4 6 7 9 8 7 7 7 6 6 7 9 11 12 11 11 11 11 nan
nan 10 10 10 10 11 11 11 10 9 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 11 11 12 13 16 19 22 23 22 20 17 14 13 13 14 14 14 13 11 9 6 3 1 0 2 5 9 11 11 11 11 12 10 7 4 4 6 7 9 13 15 14 12 9 7 6 5 5 5 6 6 9 12 16 18 17 15 13 11 9 8 8 7 7 8 11 12 12 12 11 10 7 5 5 7 8 8 8 7 7 7 7 7 7 8 9 9 8 7 6 6 5 3 3 3 5 8 10 12 13 13 11 9 7 5 4 4 5 6 8 9 9 9 8 8 7 7 7 8 8 8 6 4 4 5 6 7 8 8 8 6 5 3 3 4 7 9 11 13 15 16 18 nan
nan 10 11 11 12 13 13 13 11 10 8 7 7 7 7 7 7 6 6 6 7 7 8 8 8 8 9 8 8 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 11 12 14 17 20 22 23 20 16 12 10 10 11 12 12 11 9 8 6 3 0 -1 0 3 6 10 13 13 11 9 7 6 5 5 7 8 9 10 12 15 15 13 11 9 8 7 6 5 5 5 7 11 14 17 17 14 11 9 8 8 8 7 7 8 10 12 13 12 12 10 8 6 7 9 9 8 8 7 8 8 8 7 6 7 8 7 6 6 6 7 7 6 4 4 4 5 7 10 14 14 12 10 7 4 3 3 4 5 7 9 10 10 9 7 6 5 6 8 10 8 6 5 5 6 6 7 7 8 8 8 6 4 3 4 6 8 10 12 15 18 20 nan
nan 11 12 12 13 13 13 13 11 10 8 7 7 7 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 12 14 17 20 22 21 18 12 9 7 8 8 9 8 7 6 5 3 2 1 0 2 5 8 11 13 12 10 7 4 4 4 5 7 10 12 13 15 15 16 16 15 13 10 8 6 5 5 5 6 9 12 14 14 12 10 7 7 8 8 7 7 7 9 12 13 12 11 9 8 8 8 9 9 8 8 9 10 11 10 8 7 7 7 8 7 7 7 8 8 6 4 3 3 3 4 8 12 14 13 10 7 5 4 4 4 5 6 8 9 10 9 7 6 5 6 8 10 10 8 7 6 6 5 5 5 6 7 8 8 7 5 4 6 8 10 11 12 13 14 nan
nan 11 11 12 12 12 12 11 10 8 7 7 6 6 6 6 6 6 5 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 12 13 16 20 21 20 16 10 6 5 5 6 6 6 6 5 5 4 4 4 4 6 8 10 12 12 11 8 6 4 4 3 3 4 10 14 16 16 16 17 18 18 17 13 8 6 5 5 6 8 10 11 12 12 10 8 7 6 7 8 8 7 7 9 11 12 12 10 8 7 7 7 7 7 8 9 11 13 13 11 9 7 7 8 9 9 9 9 9 7 5 3 2 4 6 7 9 11 12 11 9 8 7 6 5 5 5 6 7 9 10 9 8 5 5 6 7 9 11 11 9 7 5 4 4 4 4 5 6 7 7 6 5 7 9 10 11 10 7 5 nan
nan 10 11 11 11 11 11 9 8 7 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 7 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 7 7 6 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 12 13 16 20 22 20 15 10 5 4 4 5 6 7 6 6 6 7 8 8 9 9 11 12 13 12 11 9 7 5 4 3 2 4 8 12 13 14 15 16 18 20 18 14 9 7 7 8 10 12 13 13 13 11 9 7 6 6 7 8 8 9 10 12 13 13 11 9 7 6 5 5 5 5 7 9 12 13 13 11 8 7 7 8 9 10 11 10 8 6 4 3 3 5 9 11 11 11 10 10 9 9 9 8 7 7 6 6 7 9 10 10 8 5 3 4 5 7 11 12 11 9 7 6 5 4 4 4 4 4 4 5 5 6 8 9 10 8 5 1 nan
nan 10 10 10 11 11 10 8 7 7 6 5 5 5 5 5 6 6 6 7 7 7 6 6 6 7 8 8 8 8 8 8 7 8 8 8 8 7 7 7 7 7 6 6 6 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 10 11 11 13 17 22 24 22 16 9 5 3 4 7 8 9 8 7 7 8 9 10 10 10 11 13 14 13 12 10 8 5 3 4 5 7 6 5 6 8 11 13 15 15 14 11 9 9 9 11 14 16 16 15 13 11 10 8 7 7 8 9 11 13 16 18 18 15 12 9 8 7 6 5 4 5 6 8 11 12 12 10 8 7 8 9 10 10 10 9 8 6 5 4 4 6 9 12 12 11 10 9 9 10 10 10 9 8 8 7 8 9 10 10 9 7 5 4 4 6 9 12 13 11 9 8 7 6 6 5 5 4 3 3 4 5 7 8 8 8 6 2 nan
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nan 7 7 7 7 7 6 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 9 10 11 11 11 11 10 9 9 9 10 12 13 14 15 16 16 15 12 8 6 7 8 10 13 15 15 14 12 11 10 9 9 10 9 9 9 10 12 15 17 15 12 9 7 5 4 4 5 7 7 7 8 9 9 9 7 6 6 7 8 8 9 9 9 8 8 9 10 11 10 9 7 7 7 7 9 11 13 14 14 14 14 15 15 17 17 17 16 15 15 13 12 10 10 10 10 10 10 9 9 9 9 8 7 6 6 8 10 11 10 9 8 8 7 7 6 6 7 8 10 10 11 11 11 12 12 12 12 12 12 12 12 11 11 10 10 9 8 7 7 8 9 10 12 13 13 12 9 5 2 1 2 5 9 15 20 24 25 22 18 14 10 8 5 1 -2 -6 -7 -5 0 6 10 nan
nan 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 7 7 7 8 8 9 10 11 12 12 11 10 10 9 9 10 11 13 13 14 15 15 13 11 8 7 6 7 9 12 14 16 15 13 12 11 11 10 10 9 8 8 10 13 15 17 15 11 7 4 3 3 5 6 7 6 6 6 8 9 9 8 7 7 8 9 10 11 12 11 10 10 11 12 13 11 9 7 7 7 8 9 9 9 10 12 13 14 15 15 15 16 16 15 15 15 14 13 12 11 11 11 10 9 9 8 9 9 9 8 7 7 7 8 9 9 8 7 7 7 8 8 7 7 7 8 10 11 11 11 11 12 12 12 11 11 11 10 11 11 11 11 10 9 8 8 8 9 11 12 14 15 14 12 8 5 4 5 8 12 16 20 23 23 19 14 8 5 4 2 0 -1 -2 -3 -0 4 7 9 nan
nan 7 7 7 7 6 6 6 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 9 10 11 12 12 12 11 10 9 9 10 11 12 13 14 15 15 13 11 9 7 6 7 9 11 13 15 15 14 13 12 11 10 10 9 8 8 9 12 15 16 15 11 6 3 2 3 5 7 7 7 6 7 8 10 10 8 7 7 8 8 10 11 12 12 12 11 12 13 12 11 10 9 9 11 12 12 10 7 6 8 11 13 14 15 15 15 15 15 15 15 14 13 12 11 10 10 9 9 8 8 9 10 11 10 8 7 7 8 9 8 8 7 8 8 9 9 8 7 8 9 10 11 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 10 11 11 11 11 11 10 9 8 8 10 13 16 17 19 20 19 17 13 8 4 3 3 2 1 1 1 2 5 7 9 nan
nan 7 7 7 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 9 10 11 12 12 12 11 10 9 9 9 10 11 13 15 17 17 15 13 9 7 6 7 8 10 12 13 14 13 13 12 11 10 10 10 9 7 8 10 14 16 16 13 8 5 3 4 5 7 8 8 8 8 9 10 10 9 8 8 8 8 8 9 11 12 12 12 11 11 10 9 10 12 14 16 17 17 14 9 6 6 9 11 13 14 14 15 14 14 14 14 13 12 11 10 9 9 9 9 8 9 9 10 11 10 8 7 8 9 9 9 8 8 8 8 9 8 8 7 7 8 9 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 10 11 11 11 11 12 12 11 9 6 6 6 7 8 11 15 18 19 17 16 15 14 13 12 9 7 6 7 6 6 5 5 6 7 7 8 nan
nan 7 7 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 11 11 12 12 11 10 9 9 8 9 11 12 15 17 18 17 14 10 7 6 6 8 10 11 12 12 12 12 11 10 10 10 10 9 7 6 8 11 15 16 15 13 10 7 7 7 9 9 9 9 9 9 10 11 11 11 9 8 7 7 7 8 9 10 10 10 9 8 8 12 16 19 21 21 20 18 13 9 7 8 10 12 13 14 14 14 13 12 12 12 11 9 9 8 8 9 9 9 9 9 9 9 9 7 7 8 9 10 10 10 10 10 9 9 9 8 7 7 7 8 9 9 10 10 11 11 12 11 11 10 9 9 9 8 9 9 10 10 10 11 12 13 13 10 7 4 4 4 7 12 17 19 18 15 13 11 10 9 9 8 8 9 10 10 10 10 9 8 8 8 8 nan
nan 7 7 6 6 6 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 8 7 7 7 7 7 7 8 8 9 9 10 11 11 11 11 10 9 8 8 8 10 12 14 17 18 17 15 10 7 6 6 8 10 11 11 11 10 11 10 10 10 10 9 8 7 7 8 11 15 16 16 15 13 11 10 10 10 10 10 8 8 7 9 10 10 10 9 8 7 7 6 6 7 8 8 7 6 7 8 12 16 18 19 18 17 16 14 11 9 9 9 11 12 13 13 13 12 11 11 10 10 9 9 8 8 8 9 9 9 9 9 8 8 8 8 9 10 11 12 13 14 14 13 12 10 9 8 7 7 8 9 8 9 9 10 11 12 12 11 9 9 9 9 9 8 7 7 7 8 9 10 11 11 10 7 5 3 3 5 11 16 17 15 12 9 7 7 8 8 9 9 10 11 11 11 11 10 9 9 9 9 nan
nan 7 7 6 6 6 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 8 8 9 9 10 10 11 11 11 10 9 8 8 8 9 11 14 16 17 16 14 10 7 7 7 9 11 12 12 11 11 11 11 11 11 10 9 8 8 8 9 12 15 17 16 14 12 11 11 10 10 9 8 7 6 6 7 8 8 7 7 7 7 7 5 5 5 5 6 6 7 7 9 10 12 13 13 12 11 11 11 10 9 9 10 11 11 10 10 10 10 9 9 8 9 9 9 9 8 8 9 9 9 9 9 9 9 9 10 10 10 11 12 14 15 16 16 15 13 10 9 8 8 8 9 9 9 10 11 12 13 13 11 10 9 9 10 9 8 7 7 7 8 10 11 10 8 6 5 4 4 4 5 8 11 12 11 9 7 7 7 8 9 10 10 10 10 10 9 9 9 9 10 10 10 nan
nan 7 7 7 6 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 9 9 9 10 10 11 10 10 9 8 8 8 9 11 13 15 15 15 13 10 8 7 7 8 10 12 13 13 12 12 12 13 12 11 9 7 6 7 9 12 15 16 15 13 11 10 9 9 9 8 7 7 6 6 6 6 5 5 5 6 7 6 5 4 4 5 6 8 9 9 8 7 7 7 7 7 6 7 7 7 8 8 9 10 8 8 7 6 6 6 6 7 7 8 8 9 8 8 9 9 10 10 10 10 10 11 11 10 9 9 10 11 13 16 18 18 17 14 11 8 7 9 10 10 10 11 12 13 14 13 12 10 10 10 10 10 10 10 10 11 12 14 15 12 7 3 2 3 5 5 4 4 5 6 7 7 8 9 10 10 11 12 11 11 10 8 7 7 7 8 10 11 10 nan
nan 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 8 8 8 9 9 10 10 10 10 10 9 8 8 8 9 10 12 13 13 13 12 10 9 8 7 7 8 10 12 13 14 14 14 15 14 12 9 6 4 5 6 10 13 15 15 14 12 10 8 8 7 7 7 8 7 7 6 5 4 4 5 6 7 7 7 7 7 7 8 9 11 10 8 6 4 4 5 6 7 7 7 6 7 8 8 8 7 6 5 4 4 5 5 6 7 8 8 8 9 9 10 10 10 10 10 11 11 11 10 9 8 9 9 10 12 16 18 19 19 18 13 10 8 9 10 11 11 11 11 12 13 12 11 10 10 10 10 10 11 12 12 13 14 15 15 12 7 3 2 3 5 5 4 2 2 3 5 8 11 14 15 15 15 14 12 10 9 7 6 6 6 7 9 10 9 nan
nan 8 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 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 10 11 12 12 12 12 10 9 8 6 6 6 7 9 12 14 15 16 16 16 14 10 6 4 4 6 9 14 17 17 15 12 10 7 6 6 6 7 8 8 7 5 5 5 6 7 8 9 10 10 10 9 8 7 8 10 11 9 7 6 6 7 9 9 9 8 7 7 7 8 9 8 6 5 5 5 6 7 7 8 8 8 9 9 10 10 11 11 10 11 11 11 10 9 8 8 9 10 10 12 14 15 16 15 15 14 11 9 9 10 11 11 11 9 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 7 4 2 2 3 5 6 5 5 4 4 6 9 13 17 18 18 16 14 11 9 8 8 7 6 6 7 8 9 7 nan
nan 8 8 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 8 8 9 10 10 10 9 8 8 8 8 8 9 9 10 10 10 10 9 9 10 10 10 10 10 11 12 12 12 12 12 10 8 6 5 5 6 8 10 13 15 16 16 16 15 12 9 7 6 7 10 14 18 19 16 13 10 7 6 7 8 8 9 8 7 6 7 8 10 11 12 14 14 14 12 10 8 7 7 9 11 11 11 10 10 10 10 10 10 10 9 9 9 10 11 10 8 7 7 7 7 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 11 11 10 10 10 11 11 8 7 8 10 12 12 11 9 7 6 5 5 6 7 7 7 6 6 4 3 1 0 1 1 2 2 3 5 7 8 8 8 8 8 9 11 14 17 18 17 15 12 9 8 8 9 9 8 7 7 7 7 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
46 47 47 49 52 57 61 62 60 57 50 43 38 34 32 32 30 29 28 26 26 27 27 28 29 29 28 29 28 28 28 29 32 32 32 33 33 31 29 29 28 27 27 27 29 31 35 38 49 69 89 107 122 141 157 162 163 167 179 194 198 202 203 200 199 204 204 195 183 168 145 122 106 78 49 39 34 28 22 17 10 5 4 3 3 4 4 5 5 5 6 7 7 7 7 7 8 8 7 7 8 8 8 9 9 9 8 7 7 7 6 5 5 20 56 253 529 663 642 639 582 522 545 644 700 621 415 182 47 15 77 40 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 43 114 158 161 186 237 301 349 395 438 450 414 346 272 231 233 273 335 350 289 185 131 146 183 198 174 119 57 19 32 79 59 20 8 21 38 49 49 36 19 11 7 7 9 11 17 31 49 68 102 124 117 100 87 64 93 62
36 37 37 37 40 42 44 46 45 44 42 38 36 35 36 37 33 30 29 29 29 29 30 32 36 35 34 33 31 31 32 33 34 36 37 40 41 38 35 31 29 28 28 28 29 31 33 34 42 59 78 96 110 124 138 145 152 166 189 208 208 219 223 226 229 230 224 214 198 180 153 131 113 87 50 35 26 22 19 15 10 7 4 3 4 4 4 5 4 5 6 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 6 11 43 124 232 455 655 713 705 672 575 495 499 570 610 532 349 160 52 19 18 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 28 119 157 145 168 213 280 359 449 507 505 450 376 309 268 230 210 223 238 216 172 156 182 215 213 179 123 62 20 17 45 48 46 49 58 69 72 63 40 19 7 2 1 0 1 4 16 39 57 69 77 85 85 73 52 60 38
25 26 27 25 26 27 29 30 29 28 28 27 28 29 31 33 32 31 31 32 33 31 32 36 41 41 41 41 40 39 39 39 38 39 40 43 44 41 36 31 29 27 27 26 27 28 28 28 29 40 55 70 83 93 104 110 117 138 155 165 177 195 191 193 199 204 203 193 176 157 128 109 98 80 57 42 29 19 15 11 7 5 4 3 4 5 4 5 5 6 6 7 7 8 8 8 8 8 7 7 8 9 9 9 9 9 9 9 8 7 5 25 130 299 440 586 676 671 656 625 546 447 400 461 550 504 345 179 80 52 57 27 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 60 86 104 142 194 268 353 423 465 467 434 396 378 370 281 209 192 200 196 184 187 210 229 215 177 128 77 42 35 54 83 108 108 103 97 84 62 35 16 7 3 1 0 0 1 6 16 27 27 32 41 48 45 34 29 27
19 20 20 20 20 21 21 20 20 19 20 21 22 23 23 25 27 28 30 31 32 30 30 33 35 36 39 41 39 36 36 37 37 36 37 37 36 33 30 28 26 24 24 23 23 24 24 25 24 27 36 45 53 59 64 70 78 94 101 109 125 137 133 131 138 146 150 144 132 124 122 111 86 73 58 45 30 16 9 7 5 4 4 4 4 4 4 5 6 7 7 8 8 8 8 8 8 8 7 7 9 9 9 9 9 9 9 8 8 6 13 65 231 381 453 512 557 505 516 555 526 433 375 449 587 538 381 216 123 100 98 67 11 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 26 54 99 160 231 297 354 417 455 471 492 518 510 400 298 234 234 229 219 220 230 234 215 181 152 131 113 102 109 129 142 109 87 73 57 38 21 12 6 2 0 0 0 0 1 2 4 4 5 6 11 17 22 28 33
18 18 18 18 18 17 17 16 16 16 16 17 17 16 18 19 21 23 25 25 25 25 24 26 26 26 27 27 27 27 27 26 26 27 28 27 26 25 23 22 20 18 17 18 18 19 20 20 20 20 23 27 32 34 34 37 43 53 61 67 73 82 86 86 88 91 99 103 100 97 97 95 75 74 61 48 37 27 16 9 6 4 4 4 4 4 4 5 7 8 9 9 9 8 9 9 8 7 7 7 8 9 9 9 9 9 10 9 9 10 36 136 278 332 343 380 427 415 437 538 540 442 382 450 548 491 377 218 156 159 155 102 21 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 24 54 117 197 263 318 424 530 587 603 596 547 456 397 320 304 276 255 252 258 253 231 202 187 181 171 161 162 167 148 95 65 48 39 34 29 23 16 8 4 2 0 0 0 0 0 0 0 0 45 57 45 42 45
19 18 17 16 15 15 15 15 14 14 15 15 15 14 14 15 16 20 21 21 20 20 20 20 21 21 22 22 22 21 21 21 20 20 20 20 19 17 17 16 15 14 14 14 15 16 16 16 14 14 15 17 17 17 16 17 20 24 27 33 41 50 56 59 62 68 73 78 85 88 83 75 73 78 66 53 43 33 22 13 7 5 5 5 4 4 5 7 8 10 10 9 8 8 9 9 8 7 7 7 9 9 9 9 9 10 11 11 9 15 52 155 227 226 241 294 348 373 415 520 524 425 358 382 433 405 335 206 187 215 206 130 38 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 8 20 68 151 244 336 442 563 595 566 520 481 448 410 371 326 278 263 275 284 272 246 226 216 209 190 190 196 186 152 107 77 58 54 57 60 57 49 39 28 21 13 6 1 0 0 0 0 0 11 19 27 38 42
16 15 15 15 16 16 15 14 14 14 14 14 13 12 13 13 14 15 16 16 16 16 16 17 18 19 18 18 18 17 17 17 17 16 15 15 14 13 12 13 13 13 13 14 15 15 14 15 14 13 13 14 14 13 15 18 20 18 15 17 21 30 38 40 41 45 50 55 61 65 67 70 70 68 61 49 37 27 22 17 12 8 7 6 5 5 6 8 9 10 9 9 8 9 9 9 8 7 7 7 9 10 9 9 10 11 12 11 8 17 55 124 156 134 172 240 277 301 354 431 430 347 297 302 341 347 304 230 243 285 263 162 59 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 5 8 31 80 158 261 368 454 524 485 433 417 437 453 419 345 264 263 289 287 258 231 225 218 202 190 200 202 181 143 108 86 71 73 82 94 105 110 105 96 86 64 43 22 7 1 0 0 3 4 4 13 27 29
14 14 15 15 16 15 13 12 12 12 13 12 12 12 13 12 12 12 12 12 12 12 13 13 14 15 14 15 14 13 13 13 13 12 12 12 12 12 12 12 13 14 15 17 18 17 15 15 16 16 16 17 18 22 26 28 29 27 23 19 19 27 34 33 36 37 39 41 45 50 52 52 52 51 48 42 36 28 24 21 18 16 14 10 6 6 7 8 9 9 9 9 8 9 9 9 8 7 7 7 8 10 9 9 10 10 11 10 8 13 42 79 90 74 135 213 251 288 317 321 289 251 298 346 340 329 307 282 314 345 315 195 82 22 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 11 36 80 138 214 295 365 363 365 419 459 459 402 304 238 255 285 269 233 216 229 239 187 187 197 184 149 109 84 79 85 97 111 126 144 158 168 178 169 137 114 67 26 5 0 0 2 3 2 9 20 19
14 15 15 14 13 12 11 11 11 11 11 12 12 13 12 10 11 10 10 10 10 10 10 10 10 10 10 11 10 11 11 12 12 12 12 11 12 11 12 13 14 16 17 18 18 17 15 15 19 18 18 18 18 19 21 26 29 30 25 22 23 30 38 41 46 47 46 46 48 50 50 46 44 43 40 37 33 28 24 22 21 20 19 14 6 6 7 8 9 9 8 9 9 9 9 8 7 7 7 7 8 9 9 9 10 10 10 9 6 9 28 43 47 57 114 182 247 275 249 201 170 206 356 498 423 347 302 304 339 337 324 200 97 41 17 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 18 57 93 132 182 232 277 319 393 431 417 348 263 226 245 268 251 231 234 239 217 162 156 166 148 112 79 65 74 97 120 138 154 168 179 192 206 207 177 159 86 31 6 0 0 0 0 0 5 14 10
13 13 13 12 12 11 12 12 11 11 12 12 11 11 10 10 11 11 11 11 10 9 9 9 9 9 10 10 10 11 12 13 14 13 13 12 13 13 14 16 17 19 20 20 19 17 15 15 15 14 15 14 13 13 14 17 22 25 21 21 25 31 38 46 52 55 55 53 51 48 47 45 43 40 37 34 31 28 24 22 21 21 19 12 7 7 7 8 8 8 8 9 9 9 9 8 7 7 7 6 7 8 8 9 10 10 9 8 5 8 23 26 30 53 95 138 192 181 126 78 72 152 318 469 389 289 225 242 274 275 276 187 103 56 29 13 3 0 0 0 0 0 0 0 2 5 5 2 0 0 1 2 4 8 25 78 147 182 201 240 299 339 393 406 403 374 317 263 247 254 233 213 205 188 163 145 134 135 119 99 89 93 101 110 120 139 154 181 207 197 193 202 177 163 72 19 2 0 0 0 0 0 2 6 3
11 11 11 11 12 11 12 12 12 12 12 12 12 12 13 12 12 12 12 12 12 11 11 11 11 11 11 11 13 14 14 15 15 16 15 15 16 17 19 19 20 20 19 18 17 16 14 13 13 13 13 11 11 10 10 11 14 18 21 26 29 30 35 41 48 53 53 51 48 43 41 40 39 36 33 30 28 25 23 22 21 21 17 11 8 8 8 8 8 7 8 9 9 9 9 8 6 6 6 6 7 8 8 9 9 9 9 7 6 10 23 15 25 56 92 109 92 70 37 14 10 64 180 285 246 168 134 178 224 236 224 176 107 68 42 19 5 0 0 0 0 0 0 0 11 30 41 36 26 40 42 30 21 28 60 133 218 257 281 309 347 387 450 479 465 435 386 331 293 276 236 183 136 118 120 131 143 146 140 144 157 161 144 112 86 90 117 169 212 187 180 188 167 145 59 11 1 0 0 0 0 0 0 1 0
11 11 11 11 10 11 12 12 13 13 13 13 14 13 13 13 13 13 14 14 14 13 12 12 13 13 13 15 14 14 16 17 18 19 19 19 20 20 20 20 20 19 18 18 17 16 14 13 13 12 11 11 10 9 8 8 8 11 15 21 24 27 30 34 39 44 46 44 41 37 35 33 30 29 27 26 24 21 19 17 15 14 12 9 8 8 8 8 7 7 8 9 9 9 8 8 7 7 7 7 8 8 8 8 9 9 8 6 6 11 18 9 27 56 85 82 50 19 5 1 0 20 65 100 87 62 72 152 227 212 158 125 105 82 55 27 8 0 0 0 0 0 0 0 27 67 110 159 189 185 153 117 100 102 135 215 307 362 372 385 402 429 470 501 496 478 455 416 376 334 261 170 102 91 106 132 152 157 158 169 192 198 170 121 82 70 79 117 157 152 159 162 145 115 48 4 0 0 0 0 0 0 0 0 0
12 12 11 11 11 13 13 13 13 12 13 13 12 12 12 13 13 14 14 13 13 12 11 12 12 13 13 13 11 12 15 18 20 20 19 20 20 20 19 18 18 18 18 18 17 16 15 14 13 11 11 11 10 9 8 7 7 7 8 12 17 22 26 28 30 31 33 33 31 28 25 21 19 19 19 20 19 17 15 13 10 9 9 8 8 8 8 8 7 7 8 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 7 6 7 15 22 22 36 48 61 44 19 5 0 0 0 0 0 0 6 12 31 110 183 170 117 78 68 62 50 30 11 3 1 0 0 0 0 0 43 99 170 257 328 323 273 255 251 234 231 274 336 408 452 446 442 475 540 600 603 538 467 420 381 329 252 171 121 101 100 109 119 131 139 143 149 163 173 178 179 168 135 93 80 98 123 126 110 80 34 0 0 0 0 0 0 0 0 0 0
13 13 12 13 14 14 14 14 13 13 12 13 13 13 12 12 12 12 12 11 11 10 11 11 11 11 11 12 11 11 13 14 16 17 18 18 18 18 17 17 17 18 18 18 17 16 15 14 13 12 11 9 9 8 8 7 6 6 6 8 13 19 24 27 28 28 26 24 21 15 8 9 10 11 11 11 12 13 12 10 9 8 8 8 8 9 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 11 23 31 36 43 34 36 16 4 0 0 0 0 0 0 0 0 1 10 53 124 127 94 55 31 27 28 23 12 9 4 1 0 0 1 7 63 128 213 322 412 433 400 396 406 414 436 474 507 454 593 527 464 474 560 661 695 607 442 335 286 256 224 187 153 121 92 74 67 68 73 71 68 91 155 225 261 245 182 99 41 52 83 89 72 47 19 0 0 0 0 0 0 0 0 0 0
14 14 14 14 14 15 14 13 12 13 12 12 12 12 11 11 11 13 11 9 9 9 10 11 10 10 10 10 10 10 10 10 12 13 15 16 17 17 17 17 17 17 17 17 15 14 14 13 12 11 9 8 9 8 7 7 6 6 6 7 10 16 20 22 24 25 23 20 15 11 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 8 7 7 7 7 7 7 7 7 6 6 7 7 6 6 7 6 6 6 5 5 6 11 20 32 33 37 33 15 9 5 1 0 0 0 0 0 0 0 0 0 3 29 89 108 68 36 18 10 10 10 12 18 12 3 0 3 18 56 114 180 246 358 495 582 580 555 586 692 792 822 793 737 619 537 436 397 428 487 515 467 357 276 267 256 237 205 169 145 104 74 64 65 69 64 53 60 122 212 249 232 187 131 74 52 64 63 47 27 11 1 0 0 0 0 0 0 0 0 0
16 16 16 16 16 15 14 13 12 12 12 12 11 11 10 10 11 10 9 9 9 9 10 10 10 10 11 10 10 10 10 9 10 11 13 14 15 15 15 16 15 15 14 13 12 11 11 11 10 10 8 8 8 8 6 6 6 7 7 7 7 8 11 14 16 17 17 15 11 9 7 7 7 7 7 7 6 6 6 6 7 8 9 8 8 7 7 7 7 6 6 6 6 6 6 5 6 7 6 6 6 6 6 5 3 5 11 17 22 26 24 17 11 3 2 4 2 0 0 0 0 0 0 0 0 0 2 16 53 90 57 23 14 10 7 9 17 30 27 14 9 43 100 165 227 289 337 426 569 704 767 773 800 954 1045 1020 922 788 606 488 383 339 305 270 269 295 312 323 363 343 280 208 162 148 120 99 98 107 116 113 97 81 93 161 202 195 176 158 129 104 91 73 48 27 16 11 8 0 0 0 0 0 0 0 0
19 18 17 18 18 18 16 14 13 15 13 11 9 9 10 10 11 10 10 11 11 11 10 11 11 11 11 12 9 10 10 10 9 10 11 11 12 12 12 12 12 11 10 10 9 9 9 9 9 8 8 7 7 6 5 6 7 7 7 7 6 6 6 5 6 6 8 9 8 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 6 6 6 6 5 6 6 6 6 6 5 5 2 1 6 12 13 9 7 6 3 1 2 4 3 1 0 0 0 0 0 0 0 0 0 1 6 45 85 68 32 22 23 23 24 32 42 41 42 97 173 240 296 348 395 437 499 582 665 729 772 840 994 1074 948 721 546 471 407 313 257 221 168 162 211 286 371 438 394 288 183 137 144 157 170 180 178 180 176 155 118 85 98 126 136 145 153 156 151 135 103 64 43 32 28 20 0 0 0 0 0 0 0 0
21 20 19 19 20 19 18 16 15 17 16 13 12 12 12 13 14 13 14 14 13 12 12 11 11 11 11 10 11 11 10 9 9 9 9 9 9 10 10 9 9 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 6 6 6 7 7 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 7 5 5 5 4 4 4 4 4 5 6 6 6 6 6 6 6 5 4 3 2 1 0 5 8 4 0 0 0 0 0 4 4 1 0 0 0 0 0 0 0 0 0 0 0 2 65 110 99 61 37 41 47 46 48 51 56 84 156 214 273 330 380 427 482 561 627 622 585 585 669 826 920 739 581 504 453 378 280 200 162 139 135 155 205 275 320 300 217 133 120 171 234 265 245 193 184 201 204 170 112 76 77 93 109 123 135 140 130 103 68 50 45 37 24 8 1 0 0 0 0 0 0
28 26 25 23 22 21 20 19 20 21 20 17 16 16 16 16 16 16 17 17 15 14 13 12 12 12 12 11 10 9 8 8 8 8 8 7 7 8 8 8 7 6 6 6 6 6 6 6 7 6 6 6 7 7 7 7 7 7 7 7 8 8 7 7 7 7 6 6 6 6 6 5 5 6 5 5 4 4 5 5 5 5 5 4 3 3 3 3 3 3 3 4 5 5 5 6 6 6 5 4 2 1 1 0 0 2 3 1 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 79 136 137 102 74 69 71 68 69 72 84 118 174 199 262 334 390 436 503 619 763 776 606 455 439 551 679 693 630 557 476 386 291 219 195 182 154 128 119 136 171 173 134 95 125 217 311 342 303 258 192 186 197 190 153 107 91 101 112 113 105 92 78 62 47 36 38 30 25 26 18 5 0 0 0 0 0
38 36 35 33 30 28 27 27 26 25 25 23 23 24 24 23 22 21 20 21 18 18 18 17 15 13 11 10 10 10 9 7 7 7 7 7 7 7 7 8 7 6 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 3 2 2 2 2 2 3 3 3 3 3 3 3 4 5 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 60 118 135 125 113 115 121 116 114 114 126 139 155 188 306 413 465 477 503 590 732 815 696 437 324 373 509 621 638 618 608 499 340 235 219 190 140 93 70 68 86 109 109 115 167 268 362 382 314 210 201 212 225 214 189 161 146 154 160 140 104 68 40 24 21 15 19 17 24 42 49 20 0 0 0 0 0
48 47 46 44 42 40 38 37 35 33 33 33 32 31 31 29 28 27 25 25 24 25 25 23 19 16 14 12 13 12 10 9 8 7 7 7 7 7 8 8 7 6 6 5 6 6 6 7 7 7 7 7 7 7 6 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 4 2 1 1 1 1 2 2 2 2 2 1 1 1 2 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 4 26 69 107 135 166 210 258 283 260 196 188 187 202 272 400 510 542 507 461 468 537 599 551 376 264 258 355 507 612 627 595 481 327 230 199 156 121 103 74 50 62 103 131 158 211 312 400 402 340 280 258 243 224 212 201 190 184 190 190 158 112 72 40 20 12 7 5 9 21 39 43 20 0 0 0 0 0
57 55 54 52 50 48 46 45 43 40 40 39 38 36 34 32 31 30 28 27 27 26 25 25 23 21 19 17 15 13 10 9 8 7 6 7 8 8 8 8 6 6 7 6 6 6 6 6 6 6 7 7 7 7 6 6 7 7 7 6 6 5 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 4 3 2 1 0 0 0 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 30 88 152 222 307 394 446 410 268 210 176 180 242 360 488 536 479 396 352 356 364 323 329 202 153 225 343 429 463 481 457 364 288 258 253 265 273 215 157 130 134 151 181 235 323 387 379 328 272 226 198 188 192 192 186 178 170 158 133 101 76 56 40 30 19 11 11 17 21 17 7 0 0 0 0 0
60 58 57 55 53 52 50 48 45 42 41 38 36 35 35 34 33 32 30 29 27 26 25 25 24 22 21 19 16 13 10 9 7 6 6 6 7 7 6 6 5 6 6 5 6 6 6 6 6 6 7 7 7 6 6 5 6 7 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 4 3 2 1 0 0 0 0 0 4 11 10 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 4 25 86 162 227 303 379 409 354 221 161 134 126 145 215 325 417 402 301 218 177 156 172 230 124 65 120 230 329 391 425 425 376 371 421 469 487 474 416 328 248 191 169 186 238 303 330 320 281 236 196 167 163 165 160 151 140 126 110 93 77 68 61 59 55 45 33 19 15 10 3 0 0 0 0 1 3
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