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 10 11 12 12 12 12 12 11 11 12 12 12 11 10 9 8 7 7 8 8 9 9 9 9 10 11 12 12 13 13 12 12 11 11 11 10 9 9 10 11 12 12 12 12 13 13 13 13 12 10 9 8 7 6 5 5 5 6 6 6 6 6 6 6 6 6 5 6 6 7 7 7 7 7 7 7 7 7 7 8 9 10 11 11 11 10 10 10 11 11 11 11 11 12 12 11 11 10 10 9 8 8 7 7 7 7 8 9 9 9 8 8 8 8 9 10 10 10 9 9 9 8 9 10 11 11 11 10 9 9 9 9 8 7 7 7 7 8 9 9 9 9 8 7 5 4 4 5 6 6 5 5 5 5 4 4 4 5 6 6 6 6 7 9 10 12 11 10 8 9 10 10 10 10 10 9 9 9 8 8 7 6 6 7 7 nan
nan 10 10 10 10 10 10 11 11 12 12 13 13 13 13 12 11 11 11 11 11 10 10 10 11 13 15 15 14 13 12 12 11 10 10 10 10 9 9 9 10 11 11 11 11 11 11 12 13 13 12 10 9 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 7 9 10 11 11 11 11 11 11 11 11 10 10 11 11 11 11 10 10 9 9 8 8 8 8 8 8 9 8 8 7 7 7 8 8 9 8 8 7 7 7 7 8 9 10 10 9 9 9 9 9 9 9 8 8 7 7 8 9 10 10 10 9 7 5 5 6 7 7 6 5 5 5 5 4 3 3 4 5 6 5 5 5 6 9 11 11 10 8 8 9 10 10 10 10 9 8 7 7 8 8 8 8 8 7 nan
nan 9 9 8 8 8 8 9 11 12 12 13 13 14 15 15 15 14 13 13 12 11 10 10 12 13 14 14 13 12 11 10 10 8 7 8 9 9 9 9 9 9 10 11 11 10 10 10 11 12 12 11 10 10 10 10 10 11 11 12 11 10 8 7 6 6 7 7 7 7 7 8 8 8 7 6 5 5 6 6 5 6 8 9 10 10 11 11 11 11 11 10 10 10 10 11 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 9 10 10 10 9 7 7 7 8 9 8 6 5 5 5 4 3 2 1 2 4 5 5 3 2 4 7 9 11 10 9 8 8 8 9 10 10 10 8 6 6 7 8 9 9 9 9 nan
nan 9 8 7 7 6 7 8 10 11 12 12 13 14 15 15 15 14 13 12 11 10 10 9 10 11 12 12 12 11 11 10 9 8 6 6 8 9 9 9 9 8 9 9 9 9 9 9 10 11 11 12 12 12 12 12 13 14 14 14 14 12 9 7 7 7 8 8 8 8 8 9 9 8 7 6 5 6 7 7 6 6 7 8 8 9 10 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 10 9 8 8 8 7 8 8 9 9 9 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 8 9 9 8 8 7 8 8 9 10 10 10 9 9 9 9 10 10 9 7 6 5 4 4 3 1 0 0 1 3 3 2 1 2 4 6 9 10 10 9 8 8 8 9 10 10 8 7 7 8 9 10 10 10 10 nan
nan 8 8 7 6 6 6 7 9 10 11 11 12 12 13 13 12 11 11 11 11 10 10 9 10 10 11 11 11 11 11 11 10 9 8 8 8 9 10 9 9 8 7 8 8 9 9 9 10 11 12 12 13 13 13 13 14 15 15 15 14 13 11 9 9 9 9 9 9 8 8 8 7 7 7 6 6 6 7 7 7 7 7 7 7 7 9 10 10 10 11 11 12 13 13 12 11 10 10 11 11 11 11 10 9 9 8 8 8 9 11 11 10 8 7 6 5 6 6 7 8 8 8 8 8 8 9 9 10 10 9 9 8 8 8 7 7 7 7 9 10 10 9 9 9 10 10 10 9 8 8 6 5 4 4 3 2 0 -1 -0 1 2 1 1 1 3 4 6 8 10 9 9 8 8 8 8 8 9 9 10 10 11 11 11 11 10 nan
nan 8 7 7 6 6 6 7 8 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 11 11 11 12 11 11 11 11 11 10 10 10 10 11 10 10 9 8 7 8 8 9 10 10 11 13 13 14 14 14 14 14 14 13 13 12 12 12 12 13 13 12 11 8 6 5 5 4 4 5 5 5 5 5 5 6 7 8 7 6 6 8 9 9 9 10 11 12 13 13 12 11 11 11 11 11 11 11 10 10 9 9 10 10 10 11 11 10 9 7 6 5 5 6 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 8 10 10 10 10 10 10 10 9 8 7 7 6 6 6 6 5 4 2 0 -0 1 2 2 2 3 3 3 4 5 7 8 8 8 8 7 7 7 8 10 11 12 12 12 12 11 10 nan
nan 8 7 7 6 6 6 7 7 8 8 8 8 8 7 7 8 8 9 9 10 10 10 10 11 11 11 11 12 12 11 10 10 11 11 11 12 12 12 12 12 11 9 8 8 9 10 10 10 11 12 13 13 13 12 12 11 11 10 11 11 11 12 14 16 16 15 12 8 4 2 1 2 3 4 4 4 4 4 4 5 5 5 5 5 6 7 8 8 9 9 10 11 12 13 12 11 11 11 10 10 10 10 10 9 9 10 11 11 11 10 10 9 8 8 7 7 7 8 9 9 9 9 8 8 9 9 9 9 8 8 8 8 7 7 7 7 7 7 8 9 10 11 11 11 12 12 11 10 9 8 8 8 8 8 7 6 5 3 3 3 3 3 3 4 4 4 4 4 4 5 6 7 8 8 7 7 7 8 10 11 12 13 12 11 8 nan
nan 8 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 10 10 10 10 10 11 11 11 11 10 9 10 10 11 12 13 15 15 15 14 12 11 9 10 11 12 12 12 11 11 10 9 8 7 7 7 8 9 11 11 12 13 15 16 16 13 10 5 2 1 3 4 4 3 3 3 3 3 3 3 2 2 3 4 6 7 8 8 9 9 10 10 11 12 11 10 10 9 9 9 9 9 9 9 10 11 11 10 9 9 8 8 8 8 9 8 8 9 9 9 9 8 8 9 9 9 9 9 9 9 8 8 7 7 7 8 7 8 8 9 10 11 12 14 14 14 13 12 11 11 10 9 9 8 8 7 7 6 6 5 5 4 4 5 6 6 5 4 3 4 5 7 9 9 7 6 6 7 9 10 11 10 9 7 nan
nan 8 8 7 8 8 8 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 14 16 17 18 18 16 14 13 13 15 16 15 13 12 10 8 6 5 6 7 7 8 9 10 12 13 13 14 14 14 13 11 8 5 4 5 7 7 5 4 2 1 1 2 2 1 1 2 4 6 8 8 9 9 9 9 9 10 10 10 10 9 8 8 8 9 9 9 9 10 11 10 9 8 8 7 7 8 8 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 8 8 9 10 13 15 15 15 15 15 14 13 11 9 9 9 9 9 9 8 7 6 5 5 6 7 8 7 5 4 5 6 8 9 9 7 6 6 6 8 9 9 8 7 7 nan
nan 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 13 15 17 19 19 19 18 16 16 17 18 17 15 13 11 9 8 8 10 11 11 10 10 10 11 13 13 13 13 12 12 12 10 7 6 7 9 10 8 5 2 1 1 1 1 2 3 3 5 7 8 9 9 9 9 9 9 9 9 9 9 8 7 7 8 9 9 9 9 10 11 11 10 10 8 6 6 7 8 8 9 9 10 11 11 11 10 10 10 9 8 8 8 7 7 7 8 9 10 10 9 7 7 6 6 6 7 8 10 13 14 14 15 16 16 15 13 12 11 11 11 11 11 10 8 6 5 5 7 9 10 9 8 7 7 7 8 8 8 7 6 6 7 7 8 8 7 7 7 nan
nan 9 9 9 9 9 8 8 9 8 9 9 9 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 13 14 15 17 18 19 19 19 18 18 17 17 15 13 11 10 10 11 14 15 16 14 12 10 10 11 11 11 11 11 12 12 11 8 6 6 8 10 10 7 4 4 3 2 1 2 5 5 6 7 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 9 9 10 11 12 12 11 11 9 7 7 7 8 8 9 10 10 10 9 9 10 10 10 9 9 8 7 7 6 7 9 11 13 12 10 8 7 6 6 6 6 7 8 10 11 12 14 16 16 15 14 13 13 13 13 13 12 10 7 5 4 5 7 9 11 11 10 10 9 8 8 8 7 7 7 7 8 7 7 8 8 8 8 nan
nan 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 13 14 15 16 17 19 19 19 18 17 15 12 10 9 9 10 11 13 15 16 15 13 10 9 8 10 10 10 11 12 12 12 10 7 6 6 8 9 8 8 7 6 4 2 3 4 4 5 6 8 9 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 12 12 12 12 9 8 8 8 8 9 10 11 10 10 9 8 8 9 9 9 9 9 8 8 8 8 10 12 13 12 10 8 8 7 6 6 6 7 7 8 8 9 11 14 14 14 13 13 14 14 14 14 12 9 6 4 4 6 7 8 10 10 11 11 11 9 8 8 8 7 8 8 8 8 8 8 8 8 9 nan
nan 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 11 11 12 12 13 14 15 15 17 18 19 18 15 12 9 7 7 8 9 9 11 12 13 12 11 10 8 8 9 9 10 10 11 12 13 12 9 7 6 7 8 9 10 9 8 7 5 5 4 4 5 6 7 9 9 9 9 9 9 9 9 9 10 10 10 10 11 10 11 11 11 11 11 12 12 12 10 9 9 9 9 10 11 11 11 10 8 7 7 8 9 9 9 10 10 11 11 10 11 12 11 11 9 9 8 7 7 6 6 6 6 7 7 8 9 10 11 11 12 12 13 14 15 14 12 10 7 6 6 6 7 7 8 9 10 11 11 10 9 9 7 7 7 8 8 8 8 8 8 8 8 nan
nan 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 9 9 8 8 9 9 9 10 10 11 11 12 13 15 15 15 16 17 17 16 14 11 8 7 7 8 9 9 9 9 9 8 7 6 6 6 6 6 7 8 8 9 10 11 10 9 9 9 9 9 9 9 7 7 7 6 6 6 6 6 6 7 9 9 10 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 11 11 11 10 10 10 9 9 10 10 10 10 9 8 7 7 8 9 10 11 12 13 13 11 11 11 10 10 10 10 9 8 7 6 6 6 6 5 6 7 7 7 7 8 9 9 11 12 13 14 14 13 12 11 10 9 8 7 7 7 7 8 9 10 11 10 10 8 7 7 8 9 8 8 8 7 6 6 nan
nan 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 8 8 8 8 9 9 10 10 11 11 12 13 14 15 15 16 16 16 16 14 11 9 9 9 9 9 9 9 7 5 2 1 1 1 2 2 3 4 5 4 3 5 7 9 10 11 11 10 9 8 7 7 6 6 7 7 7 7 6 5 6 8 9 10 10 10 10 10 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 8 9 9 9 9 9 10 10 9 9 9 9 10 11 13 14 12 11 10 10 10 10 11 11 10 8 7 7 7 7 7 6 6 7 7 7 7 7 8 8 9 10 11 12 13 13 14 14 13 12 10 10 9 8 7 7 8 9 10 11 11 10 8 8 9 9 8 8 8 7 6 5 nan
nan 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 10 10 11 11 11 12 13 14 15 16 16 17 16 15 13 12 11 11 11 10 10 8 5 1 -2 -2 -0 1 1 1 2 3 3 1 0 1 4 8 10 10 10 9 8 8 8 7 7 8 8 8 7 6 5 5 6 7 9 10 10 10 10 10 10 10 11 11 12 11 11 10 10 10 10 10 10 10 10 9 9 8 8 9 9 9 9 9 10 11 11 10 10 10 10 11 12 11 11 11 11 11 11 11 12 11 11 10 9 8 8 8 8 8 8 8 7 8 9 9 9 9 9 9 9 10 11 11 12 13 13 13 12 12 11 9 8 7 7 8 9 10 11 11 11 10 9 9 9 8 8 8 8 7 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 12 13 15 16 17 18 18 16 15 14 13 12 11 10 8 2 -2 -3 -1 2 3 3 3 3 3 2 2 2 4 6 7 8 8 8 8 8 8 9 9 9 9 9 8 7 6 6 5 6 7 8 9 10 10 10 10 10 11 11 12 12 12 12 11 11 11 10 10 10 10 9 9 9 9 9 9 9 8 8 9 10 11 11 10 10 10 10 11 11 10 11 11 12 12 12 12 11 11 11 11 11 10 9 8 8 9 8 8 7 8 8 9 9 9 10 10 9 9 9 9 10 10 11 12 13 13 12 11 10 9 8 8 8 8 10 11 11 11 10 9 9 9 9 9 8 7 nan
nan 9 8 8 8 8 8 8 8 8 8 8 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 11 11 11 11 12 13 14 16 18 19 19 18 17 14 12 11 9 8 5 1 -1 -0 2 4 5 5 5 5 5 4 4 5 7 7 7 7 7 8 8 9 9 10 10 10 8 7 8 7 7 7 7 6 7 7 8 9 9 10 10 10 11 11 12 12 12 12 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 12 12 13 13 12 11 11 11 12 12 10 8 8 8 8 8 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 9 11 12 12 13 13 12 11 10 9 8 8 9 10 10 10 9 8 8 8 8 8 7 7 nan
nan 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 14 15 17 18 19 18 16 13 10 8 6 5 3 1 1 3 6 8 8 8 7 7 6 6 6 6 7 7 7 8 8 8 8 9 10 10 10 9 8 7 7 8 8 9 8 7 7 7 7 7 8 9 10 10 11 11 11 12 12 12 12 12 12 12 11 11 10 10 10 10 10 9 10 10 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 13 12 12 11 11 11 10 9 8 8 8 8 8 8 7 7 7 7 7 6 6 7 7 7 7 7 8 8 9 10 11 11 12 13 12 12 11 10 10 10 10 10 9 8 8 8 8 7 7 6 6 6 nan
nan 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 10 10 11 11 11 11 11 11 11 10 10 11 10 10 10 10 10 10 10 10 10 10 11 12 14 15 16 17 17 17 15 12 9 7 5 5 4 4 6 8 10 12 11 10 9 8 7 6 5 5 6 7 8 9 10 9 8 9 10 11 10 9 8 8 8 9 9 9 9 8 8 7 7 6 7 7 8 9 10 10 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 10 10 9 8 9 9 9 8 8 9 9 9 9 9 8 7 6 6 6 6 7 7 8 9 9 9 10 10 10 11 11 11 10 10 10 10 10 9 8 8 8 8 7 6 6 6 6 6 nan
nan 8 8 8 8 8 8 8 9 10 10 11 11 11 11 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 10 10 10 10 10 11 13 14 14 15 15 15 15 14 12 11 9 8 8 8 8 10 12 13 13 12 9 7 6 5 5 4 4 5 7 9 11 11 9 8 9 10 11 10 9 8 8 9 9 8 8 8 9 8 8 7 7 6 6 7 8 9 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 11 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 10 11 12 12 12 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 8 7 7 7 8 8 7 6 6 6 6 6 nan
nan 8 8 8 8 8 8 8 9 10 10 11 11 11 11 10 9 8 8 9 10 11 11 11 11 11 11 11 10 11 11 10 10 10 9 9 9 10 10 10 11 11 12 13 14 14 15 15 15 14 13 13 12 12 12 11 11 12 13 13 13 11 9 7 5 4 4 6 7 9 11 13 13 12 10 9 10 11 11 9 8 8 8 8 9 8 9 9 9 8 8 8 8 7 6 6 7 8 9 10 10 10 10 10 10 10 10 11 12 13 14 14 15 13 11 10 8 7 7 7 7 7 7 8 8 8 8 9 8 8 8 8 9 10 11 11 12 11 11 10 10 10 10 9 9 9 9 10 10 11 12 12 11 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 8 7 7 6 7 7 7 7 7 6 6 5 6 nan
nan 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 8 8 8 9 10 11 11 11 11 11 10 10 10 11 10 10 10 9 9 9 9 10 10 11 11 12 13 13 14 14 15 15 15 15 15 15 15 14 14 14 13 12 12 12 11 10 9 7 7 8 11 13 15 17 17 16 14 12 11 11 10 10 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 7 6 6 7 8 9 9 9 9 9 9 10 11 11 12 13 14 14 14 14 12 10 8 6 6 6 7 7 8 8 9 9 9 9 9 8 7 6 6 8 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 9 9 8 8 9 9 10 10 10 9 9 9 9 8 8 7 7 7 7 7 7 8 7 7 6 5 6 nan
nan 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 9 8 8 8 8 9 10 10 11 11 11 11 10 10 11 11 10 10 10 9 9 9 9 10 10 11 11 12 13 14 14 14 15 15 16 16 16 17 16 16 15 13 12 11 11 10 10 9 10 11 14 16 17 17 17 17 16 14 12 10 9 8 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 7 6 6 8 9 10 10 9 9 9 10 10 10 11 11 11 11 11 11 10 10 9 7 7 7 7 8 9 9 10 10 10 10 10 9 8 6 5 7 9 10 10 10 10 10 10 10 10 11 12 11 10 10 10 10 10 10 10 9 10 10 10 10 10 9 8 8 7 8 8 9 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 7 7 7 nan
nan 9 9 9 9 8 8 8 8 8 9 9 10 10 10 9 9 9 8 8 8 8 9 9 10 10 11 11 11 10 10 11 11 10 10 10 9 9 9 9 10 10 11 12 12 13 13 14 14 14 15 16 17 17 18 17 15 13 11 10 10 9 8 8 10 13 15 16 16 15 14 12 11 11 9 8 6 5 5 6 7 8 8 8 9 8 8 8 8 8 8 8 9 9 8 7 6 7 8 10 11 11 10 10 9 9 10 9 8 8 8 8 8 8 8 9 9 8 8 8 9 9 9 10 10 10 10 10 11 11 11 9 8 8 8 9 9 9 9 9 8 8 8 10 12 12 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 nan
nan 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 11 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 11 11 12 12 12 12 12 13 14 15 15 16 17 16 14 12 11 10 9 8 7 8 10 12 13 13 12 10 8 8 7 7 7 6 5 5 5 6 7 8 9 9 9 8 8 8 8 8 8 8 8 9 8 8 7 8 9 10 11 10 9 8 8 8 9 9 8 6 6 6 7 7 8 8 9 9 9 9 10 10 10 10 9 9 9 9 10 11 11 11 10 9 8 8 8 9 10 9 8 7 7 8 10 10 10 9 8 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 9 8 8 7 8 8 nan
nan 9 9 9 9 9 9 9 8 9 9 9 10 10 9 9 8 8 8 8 8 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 9 9 9 10 10 11 11 11 11 11 11 11 12 12 12 13 14 15 15 13 12 11 10 10 9 9 10 10 11 11 10 8 7 5 5 5 6 6 5 5 6 7 8 8 9 9 9 8 8 8 8 8 8 9 8 8 9 9 8 8 8 10 11 11 10 9 8 7 7 8 9 9 8 7 6 7 8 9 9 10 10 9 10 10 10 11 10 10 8 8 8 9 10 10 10 9 9 9 8 8 9 10 11 10 9 8 8 9 10 9 9 8 7 7 8 8 9 9 8 8 8 7 7 7 8 8 9 9 9 9 8 8 8 9 9 8 8 8 8 8 8 9 9 9 9 8 7 7 7 nan
nan 10 10 9 9 8 9 9 9 9 9 9 10 10 9 9 9 8 8 8 8 9 9 9 9 9 10 11 11 11 11 11 10 10 10 10 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 11 12 13 13 13 12 11 11 11 12 12 12 11 9 8 7 7 6 6 5 6 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 9 10 11 10 10 9 8 7 8 9 10 10 9 9 9 9 10 10 10 10 9 9 10 10 10 11 10 9 8 7 8 8 8 8 8 8 8 7 7 8 9 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 nan
nan 10 10 9 9 8 8 9 9 9 9 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 10 10 11 11 11 11 11 10 10 10 10 9 9 9 10 10 11 11 10 10 10 9 10 10 10 9 10 11 12 12 12 11 11 11 11 12 12 10 8 6 4 5 6 7 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 8 8 9 10 11 11 11 10 10 10 10 10 10 9 9 9 9 9 10 10 9 8 7 7 7 7 7 7 7 7 7 6 7 7 7 7 8 8 8 7 7 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 8 9 nan
nan 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 10 10 11 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 11 12 11 11 11 10 10 10 10 9 8 6 4 4 5 7 8 8 8 7 8 9 10 11 12 12 12 11 11 10 10 10 10 10 9 9 9 9 8 8 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 8 7 6 5 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 nan
nan 9 9 10 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 11 11 11 10 10 9 9 9 9 9 8 7 6 6 7 8 8 8 7 6 7 8 9 10 12 13 13 12 12 11 11 11 11 11 10 10 9 9 8 8 7 7 7 7 8 9 8 8 8 9 9 9 9 10 10 9 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 5 5 5 7 7 8 8 8 8 8 8 8 7 7 6 6 6 6 7 8 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 9 9 8 8 9 nan
nan 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 7 8 9 9 10 11 10 10 10 10 9 9 9 9 10 10 10 9 9 8 8 8 8 7 7 8 8 9 9 10 11 12 12 11 11 12 12 12 12 11 10 9 9 8 7 7 7 8 9 10 10 9 9 9 9 9 9 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 5 6 7 8 8 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 10 10 10 9 8 7 7 7 8 nan
nan 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 8 8 8 8 8 7 8 8 9 10 10 10 10 10 10 9 9 9 10 11 12 12 12 10 9 8 8 9 9 10 10 9 9 8 8 9 9 9 10 10 11 11 12 12 11 10 9 9 8 8 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 9 8 7 7 7 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 7 7 7 nan
nan 9 8 8 8 8 8 8 9 9 9 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 8 8 9 9 9 9 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 9 9 10 9 9 9 9 10 11 13 13 14 13 11 10 10 10 10 11 11 11 9 9 8 8 8 8 9 8 8 9 10 10 10 10 9 9 9 8 9 9 10 10 10 10 9 9 9 8 8 9 9 9 8 8 9 9 9 9 9 9 8 8 8 8 8 7 7 6 7 9 9 10 9 8 8 8 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 9 8 8 8 nan
nan 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 12 13 14 14 13 12 12 11 11 11 10 10 9 9 9 9 9 9 8 7 7 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 9 10 10 9 9 9 9 10 11 10 10 9 9 9 9 9 10 10 10 10 9 9 10 10 10 10 11 11 12 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 9 nan
nan 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 11 12 12 12 12 12 11 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 9 9 9 9 10 11 11 11 11 11 11 10 10 10 10 11 11 10 9 9 9 9 10 10 11 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 10 10 10 10 10 10 10 10 10 11 11 11 11 10 nan
nan 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 9 10 11 11 11 11 10 9 9 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 8 8 9 9 9 10 10 10 9 9 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 8 8 9 10 10 11 11 12 12 12 12 11 11 10 10 10 10 10 9 9 9 10 10 10 11 12 12 11 10 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 10 nan
nan 10 9 9 9 9 9 9 8 8 7 8 8 8 8 8 9 8 8 8 8 8 8 7 7 8 8 9 10 11 11 11 10 10 10 10 10 10 9 9 9 8 8 9 9 10 10 10 11 12 12 11 10 10 9 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 9 9 9 10 10 11 10 10 9 9 9 10 10 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 9 7 7 8 8 9 9 10 12 13 13 13 13 12 11 10 10 10 9 10 10 11 11 10 11 12 12 12 11 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 10 10 9 nan
nan 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 11 11 12 11 11 10 9 8 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 11 11 11 11 11 10 10 10 10 10 10 9 10 11 11 11 10 10 10 9 9 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 12 13 13 13 12 9 6 6 7 7 7 7 9 11 12 13 13 13 12 11 11 10 9 10 11 12 12 12 11 11 11 11 11 11 10 9 9 8 8 8 9 9 8 8 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 8 8 nan
nan 9 9 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 11 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 8 8 8 9 9 8 9 9 9 9 10 10 10 10 9 9 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 11 12 13 12 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 13 13 13 10 8 7 7 7 6 6 7 9 11 12 12 11 11 11 11 11 10 11 12 13 13 11 10 10 10 9 9 10 10 9 9 8 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 10 10 9 9 10 10 10 9 9 8 8 7 nan
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nan 6 6 6 7 8 9 10 10 10 10 10 11 12 12 13 13 14 14 14 14 14 14 14 13 12 12 12 12 12 12 11 10 10 10 10 11 11 12 12 12 11 11 11 11 11 10 10 9 9 9 9 9 10 11 12 12 11 11 11 11 11 10 10 9 9 9 9 10 10 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 9 8 8 9 10 11 11 11 11 11 12 12 12 11 11 11 11 12 12 13 13 14 15 16 16 16 15 15 14 13 12 11 10 9 7 6 5 5 5 6 9 11 11 12 12 11 10 9 9 9 9 9 8 8 9 10 11 10 10 11 11 12 12 11 11 10 10 10 9 9 8 8 8 8 9 9 9 8 7 7 6 7 6 5 6 9 11 13 13 12 12 12 12 12 12 12 12 12 12 12 nan
nan 7 7 7 8 9 9 9 10 10 11 12 13 14 15 15 15 15 14 13 13 13 13 13 12 12 11 11 12 12 11 11 10 10 10 10 11 11 12 12 11 10 10 10 10 10 10 10 9 9 9 9 10 11 12 13 12 11 11 11 11 11 10 10 10 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 9 9 10 11 11 11 11 11 11 11 11 11 10 11 11 11 11 10 10 9 9 9 9 10 11 12 14 15 16 16 16 16 16 14 13 11 10 9 8 6 5 4 4 6 8 9 10 11 11 11 11 9 9 9 9 10 9 8 8 9 10 10 10 11 12 12 12 11 11 12 12 13 14 13 12 10 8 8 7 7 7 7 7 6 6 6 7 6 6 7 9 12 13 13 13 13 12 12 12 12 12 12 12 11 11 nan
nan 9 9 9 9 9 8 8 9 11 12 14 16 17 17 17 16 15 13 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 11 12 13 13 12 12 11 11 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 7 7 8 9 10 11 12 12 12 12 12 12 12 11 10 10 10 11 11 11 10 10 9 8 7 7 7 8 10 12 15 16 16 16 16 16 14 12 11 10 8 7 5 4 4 5 7 9 10 10 10 11 11 10 9 9 9 10 9 9 8 9 9 9 9 10 11 12 12 11 10 10 11 13 14 16 16 15 14 12 10 9 8 8 7 7 7 7 7 6 6 6 7 9 12 13 13 13 13 13 12 12 12 12 11 11 10 10 nan
nan 11 11 11 10 9 9 10 11 13 15 16 17 17 16 15 14 13 12 10 9 9 10 10 10 11 11 11 11 11 11 10 10 10 11 11 11 11 11 10 10 9 8 8 8 8 9 9 10 10 11 11 12 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 7 7 7 7 8 9 10 11 11 12 12 12 12 12 12 12 11 10 10 10 10 11 12 11 10 9 9 8 8 7 7 8 10 13 15 16 16 16 15 13 11 10 9 7 6 5 4 4 6 8 9 9 9 9 9 10 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 10 11 12 14 16 18 18 18 17 14 12 11 10 9 8 7 7 6 6 6 6 8 10 12 13 14 14 14 13 12 12 11 11 10 9 9 9 nan
nan 10 10 11 10 11 12 13 15 16 16 16 15 14 13 12 12 11 10 9 10 10 11 10 10 10 10 11 11 11 10 10 10 11 11 12 12 11 10 10 9 8 8 7 8 8 9 10 10 11 11 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 10 9 9 9 9 8 7 7 9 12 14 15 14 13 12 11 10 9 8 7 6 4 4 5 7 8 9 10 10 9 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 10 10 9 9 9 10 11 13 14 15 16 17 18 17 16 14 12 11 10 9 7 7 6 6 7 8 9 11 13 14 15 15 14 13 12 12 10 9 8 8 7 8 nan
nan 9 9 10 11 12 14 15 15 15 13 12 11 10 10 11 11 11 10 10 11 12 12 11 10 10 10 10 10 10 9 9 9 10 11 12 11 11 10 9 9 9 8 8 8 9 9 9 10 10 11 12 11 11 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 10 10 11 11 11 11 11 10 10 10 10 11 11 10 10 10 10 10 10 10 9 9 9 9 9 10 9 9 9 10 12 12 13 12 11 10 9 10 10 10 9 8 6 5 6 7 8 10 11 11 10 10 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 11 11 12 12 12 13 14 15 15 14 12 11 10 9 8 7 6 6 6 8 10 11 13 14 14 15 15 14 13 12 11 9 8 6 6 6 6 nan
nan 9 9 10 11 12 13 13 12 10 9 8 8 9 10 10 11 11 11 11 12 12 12 11 11 10 10 10 10 9 9 8 9 10 10 11 10 10 9 9 9 9 9 9 9 9 9 8 9 10 10 11 10 10 10 10 9 9 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 9 8 7 7 7 8 10 12 12 12 11 10 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 12 12 11 10 9 8 7 6 6 5 6 8 9 11 13 15 15 15 15 15 15 13 11 9 8 7 6 5 6 8 nan
nan 9 10 10 11 12 11 10 7 6 6 7 8 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 9 9 8 9 9 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 8 7 7 7 7 7 7 8 8 9 9 9 9 9 10 11 11 11 10 9 8 9 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 11 12 13 13 12 12 11 11 12 12 12 12 13 13 13 12 12 11 10 9 9 8 8 9 10 11 12 13 13 12 10 9 10 10 10 10 8 8 8 7 7 8 8 8 9 9 9 9 9 9 10 10 10 10 10 11 10 9 8 7 7 6 5 5 6 7 9 11 13 15 17 17 17 17 17 16 13 10 8 7 7 7 8 10 13 nan
nan 10 10 11 11 10 9 7 6 6 7 8 9 10 10 9 9 9 10 10 10 10 11 12 12 12 12 11 10 10 9 9 10 10 9 9 9 9 9 9 9 10 10 10 10 9 8 8 8 8 9 9 9 8 8 8 7 6 6 7 7 7 7 8 8 8 9 9 9 9 10 11 11 11 10 9 8 8 9 10 10 11 11 11 10 10 11 11 11 10 10 10 10 10 9 9 9 10 10 11 11 12 13 13 12 11 11 10 11 12 13 12 11 11 11 11 11 11 11 11 10 10 9 8 8 9 11 12 14 14 11 9 8 9 10 9 8 7 7 6 6 6 6 7 8 9 9 9 9 10 10 9 9 9 9 10 9 8 7 7 6 5 5 5 6 8 10 11 13 15 17 19 20 20 18 17 15 12 9 7 7 9 11 13 16 17 nan
nan 9 10 10 10 9 8 7 7 7 8 9 10 10 9 9 8 9 10 10 11 11 12 13 13 12 12 11 10 10 10 10 10 9 9 9 8 7 8 9 10 12 12 11 11 9 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 10 10 10 10 11 11 12 11 9 8 7 7 8 9 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 9 9 10 11 11 12 12 12 12 12 12 12 12 12 12 12 11 10 9 8 8 8 9 10 11 11 10 9 8 8 8 9 11 14 13 10 7 5 5 7 7 7 6 6 6 6 5 6 7 8 9 10 10 10 10 10 9 8 8 8 9 8 7 6 5 5 4 5 6 8 11 12 14 15 17 19 21 22 21 17 13 11 9 9 9 10 12 14 16 17 17 nan
nan 9 10 10 10 10 9 9 9 10 10 10 10 9 8 8 8 9 10 10 11 12 13 13 13 12 12 11 10 10 9 9 9 9 9 8 7 6 7 8 11 13 13 12 11 10 10 9 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 10 10 10 10 10 11 12 12 12 11 10 9 8 7 8 8 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 10 10 11 11 11 11 12 13 14 14 13 13 12 11 10 9 9 9 8 8 8 9 9 10 9 9 8 7 7 8 10 12 11 9 6 3 3 4 5 5 5 6 6 6 7 7 8 9 10 10 10 10 9 9 8 8 9 9 9 7 5 4 3 3 4 6 9 11 13 15 16 16 18 20 22 23 20 13 9 7 7 9 11 13 15 16 17 16 16 nan
nan 9 10 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 10 10 11 12 13 13 13 12 11 10 10 9 9 9 9 9 8 7 6 5 6 8 11 13 13 13 12 11 10 10 9 9 8 7 7 7 8 7 7 8 8 8 8 8 8 9 10 10 10 10 10 11 12 12 12 12 10 9 8 8 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 11 10 10 11 12 14 14 13 12 11 10 9 9 10 10 10 9 8 7 8 8 8 8 7 7 7 7 9 10 11 10 8 7 6 5 4 4 4 6 6 7 8 9 10 11 11 11 10 10 9 8 8 8 9 8 7 4 2 2 2 4 6 9 12 14 15 16 16 16 17 18 19 18 13 9 6 5 7 11 13 16 17 18 17 16 14 nan
nan 12 12 13 13 13 13 12 12 11 10 9 9 9 9 9 9 9 10 10 10 11 13 14 14 12 11 10 9 9 9 8 8 8 7 6 5 5 7 10 13 14 13 12 12 11 11 11 10 10 9 9 8 8 7 7 6 6 6 7 7 8 9 10 10 11 10 10 10 11 12 12 12 11 10 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 11 12 11 10 9 8 8 9 10 11 11 11 10 9 8 7 7 7 6 6 6 6 7 8 10 10 10 11 10 8 6 5 5 6 7 7 7 8 9 10 11 11 10 10 9 8 7 7 6 5 3 1 -1 -1 0 4 7 10 13 15 15 15 15 15 16 16 15 13 9 6 4 4 6 9 12 15 17 19 19 17 14 12 nan
nan 13 14 14 14 14 13 12 11 10 9 9 9 10 10 9 9 9 10 10 11 12 13 15 15 14 12 11 10 9 8 8 7 6 5 4 4 6 10 13 14 14 13 12 11 11 11 11 11 11 10 10 9 8 7 6 5 5 5 6 7 8 9 10 10 11 10 10 10 11 11 11 11 10 10 9 8 8 7 8 9 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 11 10 10 10 10 10 10 11 10 9 8 8 8 9 10 11 11 11 11 10 9 9 8 7 7 6 5 6 7 8 9 9 10 11 11 10 9 8 7 8 9 8 8 7 7 8 9 9 10 10 10 9 7 6 4 3 1 -1 -2 -2 0 4 9 11 13 15 15 15 16 16 17 17 16 13 9 5 4 4 6 9 12 14 16 19 21 20 17 13 10 nan
nan 11 12 13 13 13 13 13 12 10 9 9 9 9 9 9 10 10 10 10 11 12 14 16 16 15 14 12 11 10 9 8 7 5 4 3 4 7 11 13 14 13 12 11 10 11 12 12 11 11 10 10 9 9 7 6 6 6 6 7 7 8 9 9 9 9 9 9 10 11 12 11 10 10 9 9 8 7 7 8 9 10 10 10 10 9 9 10 11 11 11 11 11 10 10 10 10 11 11 10 10 9 10 10 10 10 9 9 10 10 11 11 11 11 11 10 10 9 9 9 8 8 8 7 8 8 9 10 10 11 11 10 9 8 8 9 11 11 10 8 7 6 7 8 9 9 9 8 6 3 2 0 -1 -1 -0 2 5 8 11 13 14 15 15 16 17 18 19 20 19 18 15 11 8 8 8 10 11 13 15 18 21 22 19 16 11 9 nan
nan 9 10 11 12 13 14 14 13 11 9 9 8 8 9 9 10 10 10 11 11 12 13 15 16 15 14 13 12 11 9 8 6 5 3 3 4 8 11 12 12 12 11 10 11 11 12 12 12 11 10 9 9 8 7 6 6 6 7 7 8 8 8 8 8 8 9 10 11 12 13 12 11 10 10 9 9 8 8 8 9 9 10 10 9 9 9 10 10 10 10 10 11 11 11 10 10 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 9 8 8 8 9 10 10 10 11 11 12 12 12 13 13 11 10 8 8 9 11 12 12 11 10 7 7 7 8 9 8 5 2 0 -1 -2 -1 1 4 7 11 13 15 15 16 16 17 18 18 19 19 20 19 19 17 15 13 11 10 10 11 13 15 18 20 21 19 16 12 9 8 nan
nan 9 10 11 12 13 14 14 13 12 10 9 9 8 8 8 9 10 10 10 11 11 13 14 14 14 14 13 12 10 9 7 6 5 4 4 6 9 11 12 12 11 11 11 11 12 12 12 11 11 10 9 8 7 7 7 7 7 8 8 8 9 8 9 9 9 10 11 13 14 13 13 12 11 11 11 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 8 8 8 8 10 11 12 12 13 14 14 15 16 15 14 12 10 9 10 11 13 13 13 13 12 9 8 7 7 6 4 2 0 -0 1 3 6 10 14 17 18 18 18 18 19 20 20 20 20 19 18 17 15 14 13 11 10 9 9 10 12 14 16 18 19 18 15 11 9 8 9 nan
nan 10 11 12 12 13 13 13 12 11 11 10 9 8 8 8 8 9 9 10 10 11 12 13 13 13 13 12 11 9 8 7 6 5 4 5 7 9 11 11 11 11 11 12 12 11 11 11 10 10 9 8 7 7 7 7 7 8 8 9 9 9 9 9 10 10 11 12 13 14 13 12 11 11 11 11 11 11 11 11 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 9 9 9 9 8 8 8 8 9 11 11 12 12 12 13 14 15 16 15 14 12 12 13 14 15 16 15 16 16 15 14 12 10 8 6 5 5 6 8 10 13 16 20 22 23 21 19 19 19 20 20 19 18 17 15 13 11 10 10 9 8 7 8 10 13 14 16 16 17 16 14 11 10 9 10 10 nan
nan 9 10 11 12 12 12 12 11 11 11 10 10 9 8 8 8 8 8 9 10 10 11 12 12 12 12 11 9 8 7 6 5 5 5 6 8 9 10 11 11 11 12 12 11 10 10 9 9 9 8 7 7 7 7 7 8 9 9 10 10 10 10 10 10 10 11 12 13 12 11 10 10 10 11 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 11 11 11 11 10 10 9 9 9 8 8 9 9 10 11 11 10 10 10 11 12 13 13 13 13 13 14 16 18 19 18 17 17 19 20 20 20 18 14 12 12 13 15 17 19 20 22 22 22 20 17 15 14 14 14 14 13 12 11 10 8 9 9 9 9 9 10 12 13 15 15 15 15 14 12 11 10 10 10 10 11 nan
nan 9 10 11 11 12 11 11 11 10 10 10 10 9 9 8 8 7 7 7 8 9 10 11 12 12 11 10 9 7 6 6 5 5 6 7 8 9 11 12 12 12 12 12 11 9 8 8 8 8 8 7 7 7 7 8 8 9 10 11 11 11 11 11 10 10 11 11 11 11 10 9 9 10 10 10 9 9 9 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 10 11 11 10 10 9 9 9 10 10 10 11 11 12 14 16 17 17 17 17 18 19 21 22 22 21 18 17 17 17 18 19 20 20 19 17 15 12 10 9 9 10 11 11 11 10 9 9 9 11 11 12 12 12 13 14 15 14 14 13 13 11 10 10 10 10 10 10 10 nan
nan 11 11 12 12 12 11 10 10 10 9 9 9 9 9 8 8 7 5 5 6 7 8 10 11 11 10 10 8 7 6 6 6 6 7 8 9 10 11 13 13 14 13 12 11 9 8 8 8 8 7 7 7 7 8 8 9 10 10 11 11 11 12 12 11 11 11 11 11 10 9 8 9 10 10 9 9 9 9 10 10 10 10 10 11 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 10 10 11 10 10 10 9 9 9 9 9 9 9 10 11 12 13 13 13 13 14 15 16 17 17 16 15 15 15 15 15 15 15 15 15 13 12 10 10 9 10 12 13 14 14 14 14 13 13 13 14 14 13 13 13 13 13 12 12 12 11 11 10 10 10 10 10 10 10 10 nan
nan 12 13 13 13 12 11 10 10 9 9 9 9 9 9 8 7 6 5 4 5 6 8 9 10 10 10 9 9 8 8 8 8 8 9 9 9 10 12 13 14 14 13 12 10 9 8 8 8 8 7 7 8 8 9 9 10 10 11 12 12 12 12 11 11 11 12 12 12 12 11 9 9 10 10 9 9 9 10 11 11 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 9 10 10 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 10 10 11 11 12 12 13 12 12 12 11 11 11 12 12 12 12 12 11 11 12 13 15 16 16 17 17 17 17 17 16 15 15 14 13 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 13 14 14 13 13 12 11 11 10 9 9 9 9 9 8 7 5 4 4 5 6 8 10 11 10 10 9 9 8 9 9 10 10 10 10 10 11 13 14 14 14 13 11 9 9 8 8 8 8 8 8 9 9 10 10 11 12 12 13 13 13 12 11 10 11 12 12 12 12 11 10 9 10 10 11 10 11 11 12 11 11 10 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 9 9 10 10 10 10 10 10 9 9 8 8 7 7 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 12 12 12 12 12 12 13 14 15 15 16 16 16 16 15 14 14 13 13 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 nan
nan 12 13 13 13 13 13 13 11 10 10 9 9 9 9 8 7 5 5 5 6 7 9 11 11 10 10 9 9 9 9 10 10 11 11 11 11 12 13 14 13 12 11 10 9 8 8 8 8 8 8 9 10 10 10 11 11 12 13 13 13 13 11 10 10 10 11 11 11 11 10 10 10 11 11 12 12 12 12 11 11 10 10 10 10 11 11 11 9 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 10 10 10 11 11 10 8 7 6 5 4 4 5 6 7 8 9 10 10 10 10 10 10 10 10 10 9 8 8 9 10 12 13 13 13 12 12 11 11 12 12 12 13 13 13 13 12 12 12 11 11 11 11 11 11 11 12 11 11 11 10 10 10 10 10 10 10 11 11 11 11 nan
nan 12 13 13 14 14 14 14 12 11 10 10 10 9 9 8 6 5 5 5 7 9 11 12 12 11 10 9 8 8 9 10 11 11 12 12 13 13 13 12 12 11 9 9 9 9 8 8 8 8 9 10 10 11 11 11 11 11 11 12 12 12 11 11 12 12 11 10 10 10 10 10 10 11 12 12 12 12 11 10 8 7 7 8 9 10 11 11 10 9 9 9 10 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 9 8 8 9 9 10 10 10 11 10 9 7 5 5 4 3 2 2 2 3 4 5 7 7 7 7 8 9 9 9 8 6 5 6 9 12 14 14 13 12 11 11 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 nan
nan 12 13 14 15 15 15 14 12 11 10 10 10 10 9 8 7 6 6 6 8 10 11 12 12 11 10 10 9 9 9 10 11 11 12 13 13 13 12 11 10 8 8 8 8 8 8 8 8 8 9 10 11 11 11 11 11 11 11 11 11 11 12 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 9 7 6 6 7 9 10 11 11 11 11 11 12 12 11 10 10 10 10 11 11 11 12 12 12 12 12 11 11 10 9 8 9 9 9 9 9 9 9 8 7 6 5 6 6 6 5 4 2 1 1 1 1 1 2 4 6 7 7 7 5 3 4 7 12 15 15 13 12 11 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 nan
nan 13 14 14 15 15 14 13 11 10 10 10 10 10 9 8 7 6 6 7 9 10 11 12 12 11 11 10 10 9 10 10 11 11 13 13 14 13 11 10 8 6 6 7 8 8 8 8 8 8 9 9 10 11 11 12 12 12 12 11 11 11 11 12 13 13 13 12 12 11 11 11 11 11 10 10 11 13 14 14 13 11 9 7 5 6 8 9 11 12 13 14 15 14 13 12 11 11 11 12 12 13 12 12 12 12 11 11 11 11 10 8 8 8 7 7 6 6 5 5 5 5 6 8 9 10 10 9 7 5 3 2 1 0 1 4 6 7 7 5 2 3 7 12 17 18 15 12 10 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 9 9 9 nan
nan 13 13 13 14 14 13 12 11 11 10 11 10 10 9 8 7 6 7 8 9 10 11 11 12 11 11 10 10 10 10 11 12 13 13 14 14 13 12 10 8 6 6 7 8 8 9 9 9 9 9 10 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 13 15 16 16 15 13 11 8 6 7 8 10 12 14 16 17 16 15 14 13 13 13 14 14 14 13 13 12 12 11 11 11 11 10 9 8 6 5 4 3 3 3 4 5 6 8 9 11 11 12 12 11 10 8 7 6 6 7 9 10 10 9 7 6 9 14 19 21 19 14 11 9 9 10 10 10 10 10 10 10 10 11 11 11 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 nan
nan 13 13 12 12 12 12 11 11 11 11 11 10 9 9 8 7 7 7 8 9 10 11 11 11 11 11 11 10 10 10 11 12 13 14 14 14 13 12 11 10 9 8 8 8 9 9 9 9 10 10 11 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 14 15 16 16 16 13 11 10 10 11 13 15 17 17 16 15 15 14 14 14 14 14 14 13 13 12 11 10 10 10 10 10 10 9 8 6 5 5 5 5 6 7 8 9 10 11 11 11 11 11 10 10 10 10 11 12 13 14 13 12 11 12 14 18 21 20 16 13 10 9 10 10 10 10 10 10 10 10 10 11 11 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 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
98 110 121 125 139 167 226 280 296 264 210 161 131 115 104 97 95 93 90 80 68 57 50 45 41 40 42 35 26 17 11 5 2 2 15 48 113 222 391 647 1045 1516 1893 2118 2235 2293 2314 2308 2266 2252 2228 2205 2190 2164 2066 1787 1283 806 484 287 173 126 101 54 27 15 9 6 6 8 9 9 8 7 5 3 2 2 2 2 2 2 2 2 1 1 1 1 0 0 0 0 0 1 7 22 49 84 111 120 124 114 94 69 47 34 31 31 31 32 32 28 20 11 7 5 3 2 1 0 0 0 0 0 0 0 1 1 0 0 14 16 9 2 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 2 3 3 2 2 2 3 3 4 4 3 3 4 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 3 2 2
94 109 123 131 138 150 160 174 185 181 159 127 112 100 93 90 94 100 99 93 87 81 73 64 54 49 46 32 16 6 2 0 0 0 11 37 80 139 223 385 753 1217 1639 1951 2163 2294 2358 2369 2328 2322 2315 2294 2269 2239 2156 1919 1485 1019 665 407 230 148 110 64 36 20 9 4 4 5 6 5 4 3 2 2 2 3 3 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 4 12 26 42 56 69 70 62 50 36 23 15 12 13 14 16 18 18 13 5 1 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 8 10 6 1 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 2 2 2 2 3 3 4 5 5 4 4 5 4 4 4 4 4 3 3 2 2 2 2 1 1 1 1 1 1
82 104 125 138 133 129 132 135 133 124 112 100 94 84 82 85 95 110 114 126 153 175 176 147 96 57 44 30 15 5 1 0 0 3 15 37 67 97 126 209 506 940 1359 1716 2008 2224 2346 2377 2364 2353 2357 2353 2338 2307 2231 2052 1708 1277 892 574 338 204 115 66 38 19 7 1 1 1 2 2 1 1 2 2 2 3 3 2 2 2 2 2 1 1 1 1 1 1 1 3 4 5 4 6 13 21 29 41 40 37 31 24 16 9 4 4 6 9 11 12 8 2 0 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 3 3 3 2 2 3 3 4 5 6 6 6 5 5 5 5 4 4 3 3 3 2 2 2 2 2 1 0 0 0 0
62 90 118 137 138 128 126 124 113 93 77 70 67 69 68 66 70 88 113 159 219 239 224 173 102 49 31 19 9 2 0 1 2 4 14 34 57 77 92 127 255 529 909 1287 1708 2078 2293 2387 2390 2377 2382 2391 2387 2363 2314 2185 1894 1476 1045 669 384 207 108 61 37 19 8 2 0 1 1 1 1 1 1 1 1 2 1 1 2 2 2 2 2 2 1 1 1 1 1 2 2 2 3 4 6 8 12 16 17 17 17 14 9 5 0 0 2 4 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 3 3 3 3 3 4 5 6 6 6 6 5 5 5 5 4 3 3 3 3 2 1 1 1 1 1 0 0 0 0
38 65 96 121 131 126 117 106 89 67 49 42 39 34 26 23 27 39 60 96 121 105 78 49 24 13 8 5 2 1 2 3 4 6 11 30 54 75 92 106 122 206 413 677 1172 1718 2084 2303 2380 2404 2428 2449 2450 2433 2404 2286 1942 1472 999 603 320 158 90 50 34 20 9 3 0 0 0 1 1 0 0 0 0 0 1 1 1 1 1 1 2 1 2 2 2 1 1 1 1 1 1 1 1 2 2 0 2 6 8 8 5 1 0 0 0 1 2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 3 3 3 5 4 5 5 5 5 4 5 4 4 3 3 3 3 2 2 1 1 1 1 1 0 0 0 0
16 36 63 90 108 110 95 76 55 35 20 13 9 6 2 1 1 2 6 12 18 14 8 4 1 1 1 2 2 2 2 4 5 7 10 28 54 83 107 125 137 158 214 330 673 1170 1653 2044 2281 2399 2474 2522 2546 2540 2473 2197 1666 1132 698 393 205 108 74 41 28 15 6 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 3 4 4 4 4 4 4 4 3 3 2 2 1 1 2 2 2 1 1 0 0 0 0 0 0 0
4 13 27 44 58 63 51 34 20 10 3 1 1 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 1 2 2 3 5 7 10 28 57 93 131 165 187 195 232 303 495 848 1317 1786 2142 2366 2493 2559 2539 2384 2051 1497 948 554 309 170 95 55 36 21 12 6 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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 1 1 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 2 2 2 2 3 4 4 3 4 4 3 2 2 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0
0 2 5 9 13 14 13 5 2 2 2 2 3 3 3 3 3 3 2 2 1 1 1 1 1 1 1 1 1 1 1 2 3 5 11 29 60 101 165 249 313 292 313 375 525 807 1209 1653 2053 2333 2468 2404 2091 1570 991 525 280 148 85 53 32 16 7 4 2 1 1 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 2 2 1 1 1 2 3 4 4 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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