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 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 6 5 5 5 5 6 6 7 7 8 8 9 9 9 9 9 9 9 9 10 10 9 6 3 3 4 6 7 7 6 6 6 6 5 5 5 5 6 7 8 8 7 7 7 7 7 7 7 7 6 6 7 8 10 10 10 11 11 13 14 15 13 10 8 8 8 10 12 11 8 4 3 3 5 7 7 5 5 6 6 6 7 8 8 7 6 6 7 7 7 7 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 7 8 7 7 7 7 8 8 10 11 12 11 10 10 9 9 10 11 13 14 14 13 13 12 11 11 11 10 9 7 6 4 4 5 6 7 7 7 7 7 8 8 8 8 7 7 6 6 7 8 8 8 nan
nan 8 8 7 7 7 7 7 6 7 7 7 7 7 7 8 8 8 7 6 5 5 5 5 6 6 7 8 8 9 9 9 9 9 9 9 9 9 10 9 8 6 4 3 4 5 7 7 7 7 7 6 6 7 7 7 7 7 8 8 8 8 7 7 7 7 7 6 6 6 7 8 9 9 9 9 9 11 12 12 11 10 9 9 10 11 11 8 5 4 5 6 8 8 7 6 6 6 6 7 8 9 9 8 8 7 8 9 8 8 7 7 8 8 8 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 7 7 7 7 7 7 8 9 10 11 11 10 10 9 9 9 10 11 12 12 13 13 13 11 10 10 10 10 9 7 5 4 4 5 6 7 7 7 7 7 7 8 8 8 7 6 6 7 7 8 8 8 nan
nan 7 7 7 7 7 7 7 7 6 7 7 7 7 7 8 8 8 8 7 6 5 5 5 6 7 8 9 9 9 9 9 9 9 10 10 10 10 10 9 7 5 3 3 5 6 6 6 8 8 7 7 8 8 9 8 7 8 9 9 9 8 7 7 7 7 8 8 8 8 8 9 9 8 7 7 8 9 10 10 10 10 11 10 10 9 8 6 5 5 6 8 8 7 6 6 6 7 7 8 10 10 10 8 7 8 9 9 8 8 8 8 8 8 8 9 8 8 7 7 7 6 6 7 7 7 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 8 9 11 11 10 9 8 8 9 10 11 11 11 11 12 12 12 11 10 10 9 8 7 5 4 5 6 7 8 8 8 7 7 8 8 9 8 7 6 6 7 8 8 8 8 nan
nan 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 8 7 6 6 6 7 8 9 10 10 10 10 9 8 8 10 11 11 11 10 9 7 3 2 4 7 7 5 6 7 8 8 9 10 10 9 8 9 10 10 11 10 9 8 7 7 8 9 9 10 10 10 10 9 7 7 7 9 9 9 9 10 11 11 9 8 7 6 5 6 6 7 8 7 6 5 6 7 8 9 10 11 11 9 8 8 9 9 8 8 8 9 9 8 8 8 7 6 6 6 6 6 6 6 7 7 7 8 9 10 10 10 9 9 8 8 7 7 7 7 7 7 7 8 10 10 10 9 9 9 10 11 11 10 10 9 10 12 13 13 12 10 9 7 5 3 3 5 7 8 8 8 8 8 8 8 8 8 7 6 6 6 7 8 8 8 8 nan
nan 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 8 8 8 9 9 10 11 10 10 9 8 6 7 10 12 12 11 11 10 7 2 1 5 8 7 5 5 8 10 10 10 11 11 10 9 11 12 12 12 11 11 9 8 8 9 9 10 11 11 11 10 9 8 8 9 10 9 9 9 10 11 9 8 7 7 7 7 7 7 7 7 6 5 6 6 7 8 10 11 12 11 9 8 9 9 9 8 8 9 9 9 8 8 7 6 5 4 5 5 6 6 7 7 7 7 7 8 9 10 10 10 9 9 8 8 7 6 6 7 7 6 7 9 10 10 10 10 11 11 11 11 10 9 9 10 11 13 14 13 10 7 4 2 1 3 5 8 9 9 8 8 7 7 8 8 7 6 6 7 7 7 8 8 8 8 nan
nan 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 9 9 9 10 10 11 10 10 9 8 6 6 10 12 12 12 11 10 7 3 3 5 7 6 5 6 9 12 12 11 11 11 12 12 12 13 13 12 12 11 11 9 9 10 11 11 12 12 11 10 8 8 9 10 10 8 8 8 9 9 9 9 9 9 9 9 9 8 8 6 6 5 6 7 8 10 12 13 12 10 9 8 9 8 8 8 9 10 9 8 8 7 6 6 5 5 5 6 6 6 6 6 7 7 7 7 8 9 9 9 10 10 9 8 7 7 6 7 7 6 7 8 9 10 10 11 12 12 11 10 9 9 9 9 10 12 13 12 7 3 -0 -1 1 4 7 9 10 10 9 8 7 7 7 7 7 7 7 7 7 7 8 8 9 8 nan
nan 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 10 11 11 11 10 9 10 10 10 10 9 9 8 7 7 9 11 11 11 10 10 8 5 4 5 5 5 6 8 11 13 13 11 11 11 12 12 12 12 12 12 11 10 10 9 9 10 11 11 11 10 9 8 8 8 9 9 8 7 7 7 7 7 8 9 10 10 9 9 9 9 7 6 6 6 6 8 10 12 13 13 11 9 8 8 8 8 8 10 10 10 9 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 9 10 11 10 9 8 7 8 8 7 7 7 7 8 10 10 11 11 11 11 10 10 9 9 10 10 10 10 8 4 1 -1 -0 3 7 10 11 10 9 8 8 7 7 7 7 8 8 8 7 6 7 8 8 8 8 nan
nan 10 10 9 9 9 10 9 9 9 9 9 9 8 8 8 8 8 9 10 11 12 11 11 10 9 9 9 9 8 8 9 9 9 9 10 11 11 10 9 8 7 6 5 4 5 8 11 12 12 11 10 9 9 9 9 8 9 10 10 8 7 7 7 7 7 8 8 7 6 7 7 8 8 8 7 7 6 6 6 5 6 7 8 9 9 9 9 9 8 6 5 6 7 8 10 12 13 13 11 9 8 9 9 9 9 10 11 10 10 9 8 7 7 7 7 8 8 7 6 5 5 6 6 6 6 6 7 7 8 8 8 10 11 11 9 8 8 8 8 8 8 7 7 7 9 10 10 10 10 10 10 10 10 11 11 10 10 8 6 3 2 2 4 8 10 12 11 10 9 8 8 8 8 8 8 8 7 7 6 6 7 8 8 8 8 nan
nan 11 10 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 8 9 11 12 12 11 10 9 9 9 9 8 9 9 10 10 10 10 11 11 10 9 8 7 7 6 6 8 10 12 11 9 8 7 6 6 6 6 6 7 7 6 5 3 3 3 3 4 5 5 4 4 5 6 7 7 7 7 7 7 6 6 5 5 6 7 8 9 9 9 8 7 6 6 6 8 9 11 12 12 10 8 8 9 10 11 11 11 10 10 9 8 7 6 6 6 7 8 8 8 7 7 7 7 7 7 6 6 6 6 7 7 7 7 9 10 10 9 8 7 8 9 9 8 7 6 6 8 9 9 10 10 10 10 10 11 11 11 10 9 7 6 4 4 5 8 11 12 11 9 8 8 8 8 8 8 8 8 8 7 6 6 7 8 8 7 7 7 nan
nan 12 11 11 11 11 11 11 10 10 9 9 9 8 8 8 7 7 8 9 10 11 11 11 10 9 10 10 9 9 9 10 11 10 10 10 11 11 10 9 8 8 7 7 8 10 11 10 9 7 6 5 5 6 8 8 7 6 6 4 3 1 0 1 2 4 5 5 4 5 6 6 7 7 7 8 8 8 7 6 6 7 8 8 9 10 9 8 7 7 7 7 7 8 10 11 11 10 8 8 9 10 11 11 10 10 9 8 8 7 6 5 5 6 7 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 7 8 9 9 9 8 8 9 9 8 7 6 6 7 8 8 8 9 10 10 10 10 10 10 9 8 6 5 5 6 8 11 12 11 9 7 7 8 8 8 8 8 8 8 8 7 7 8 8 8 7 5 5 6 nan
nan 12 12 12 12 11 11 11 11 10 10 9 9 9 9 8 8 8 8 9 10 11 11 10 10 10 10 11 11 10 10 10 11 11 11 11 11 11 10 9 8 8 8 8 8 10 11 10 8 6 5 6 7 9 11 11 9 7 5 4 2 1 1 2 4 5 6 6 7 7 7 8 9 10 9 8 8 7 6 6 6 7 7 8 9 10 9 9 8 8 8 7 8 9 10 10 9 8 8 9 11 12 12 11 9 8 8 8 7 7 6 6 6 6 7 8 9 9 9 9 8 8 7 7 7 7 7 7 7 7 6 5 5 6 8 9 9 9 9 9 8 8 7 7 6 7 7 7 7 7 8 9 9 9 8 8 7 6 6 6 6 7 9 11 11 9 7 7 7 8 9 9 9 9 9 9 9 8 8 8 8 7 6 5 5 6 nan
nan 12 12 12 12 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 10 11 10 10 11 11 11 12 12 11 11 11 11 11 11 11 11 11 10 10 9 9 8 7 7 9 11 11 8 5 4 6 8 9 11 11 9 7 5 3 3 3 5 5 6 7 7 8 8 8 9 12 14 13 10 7 6 5 5 6 6 7 6 6 8 9 9 9 8 8 8 8 8 9 9 9 8 8 9 10 12 12 11 10 8 8 8 8 8 7 7 7 7 7 8 9 9 9 9 9 8 7 6 6 6 7 7 7 7 7 7 6 6 5 6 7 8 9 9 8 8 8 8 7 7 8 8 7 6 6 7 8 8 8 7 6 6 6 6 6 6 7 9 10 9 8 7 7 7 8 9 9 9 10 10 9 9 8 8 9 8 8 7 6 7 6 nan
nan 13 13 12 12 12 12 12 12 11 11 11 10 9 9 10 10 11 11 11 11 10 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 10 10 9 9 8 7 7 9 11 11 8 4 3 5 7 8 9 10 10 7 5 3 4 6 9 8 7 7 7 9 10 11 14 16 15 11 7 5 4 5 6 7 8 7 7 7 7 8 8 8 8 9 9 9 9 10 9 8 8 8 10 11 12 12 10 9 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 10 8 6 5 5 6 6 7 7 7 8 8 8 7 6 6 6 8 9 9 8 8 8 8 8 8 9 8 7 6 6 6 7 8 7 7 6 5 5 5 5 5 6 6 7 8 8 8 7 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 nan
nan 13 13 13 12 12 12 12 12 12 12 11 11 10 10 10 11 11 12 12 11 11 11 11 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 9 8 8 8 8 8 9 10 10 7 3 3 5 7 8 9 11 11 8 5 3 4 8 10 8 6 6 8 11 15 17 17 15 11 7 4 4 5 7 8 9 10 9 8 7 7 7 7 7 9 10 10 10 10 10 9 8 8 10 11 12 12 11 10 9 8 8 8 8 8 8 8 9 9 10 9 9 9 10 10 9 8 6 6 6 6 7 7 8 8 9 9 8 8 7 7 7 8 10 9 8 8 8 8 9 9 9 9 7 6 6 7 8 8 8 8 7 7 6 6 5 4 4 4 5 6 7 7 7 7 8 7 7 8 8 8 8 8 9 9 9 8 8 8 9 9 10 nan
nan 13 13 13 13 13 13 13 12 12 12 12 11 11 10 11 11 12 12 12 11 11 11 11 11 11 10 10 11 11 11 11 10 10 10 10 10 9 9 8 7 7 8 9 9 10 10 9 6 2 2 4 7 8 10 11 11 9 5 3 3 5 6 5 4 6 10 14 17 16 13 9 5 4 5 6 8 9 10 12 12 10 8 7 7 7 7 8 10 10 10 10 10 9 8 8 10 11 12 12 12 11 9 8 8 8 8 8 8 8 8 8 8 7 7 8 9 9 9 8 7 7 8 8 8 7 8 8 9 9 8 8 7 7 6 7 8 9 9 9 8 8 8 8 9 9 8 7 6 6 7 9 9 9 9 9 9 9 8 7 6 5 4 5 5 6 7 7 7 7 6 6 6 7 7 7 8 8 8 8 8 7 8 9 10 10 nan
nan 13 13 14 14 14 14 13 13 12 12 12 12 11 11 11 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 9 9 9 9 9 8 5 2 2 4 7 9 11 12 11 7 4 2 3 4 4 5 7 9 12 14 12 9 6 4 3 4 6 7 8 10 12 12 11 9 8 9 9 9 9 9 10 10 10 10 10 9 8 8 10 11 12 12 11 10 8 8 8 8 8 8 8 8 8 7 5 5 6 7 9 9 9 9 8 9 10 9 9 8 8 8 7 7 6 6 7 7 7 7 7 8 9 9 8 8 8 8 8 8 8 7 7 7 8 9 9 9 10 10 11 11 11 10 10 9 8 8 7 7 7 7 7 6 5 5 5 6 6 7 8 8 7 7 7 7 8 9 9 9 nan
nan 13 13 13 14 14 14 14 14 13 13 13 13 12 12 12 13 13 12 12 11 11 11 11 10 10 10 9 9 10 10 10 11 11 11 10 9 8 8 8 8 8 9 9 9 8 8 7 5 4 4 5 7 9 12 13 10 4 2 2 4 5 5 7 10 12 12 10 8 5 5 5 5 6 7 8 9 10 11 10 8 8 9 11 12 11 10 9 9 9 10 10 9 8 8 9 10 12 12 12 11 9 8 8 8 8 8 8 8 8 7 5 4 5 6 8 10 10 10 9 9 9 9 9 9 8 7 7 6 6 6 7 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 8 9 9 9 9 9 9 10 11 11 11 11 12 11 10 9 8 7 6 5 5 4 4 5 5 6 7 7 7 6 6 7 8 9 9 9 9 nan
nan 12 13 13 14 14 14 14 14 14 14 13 13 13 13 13 14 14 14 13 13 12 12 11 11 10 10 10 10 10 10 10 10 11 11 10 9 8 8 8 8 8 8 8 8 8 7 7 6 5 6 6 7 9 11 11 6 2 1 4 6 7 6 8 11 11 10 9 7 7 7 7 8 8 8 8 9 10 9 8 7 7 8 10 10 9 8 6 6 7 8 9 8 7 8 9 11 12 12 11 10 9 8 8 8 8 8 8 7 7 6 5 5 6 8 10 11 11 10 9 8 8 8 8 8 8 7 6 6 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 8 8 8 8 8 8 9 9 10 10 10 11 11 12 12 11 10 9 7 5 4 3 4 4 5 5 5 6 6 6 6 6 7 8 9 9 9 8 nan
nan 12 13 13 13 13 14 14 14 13 13 13 13 13 13 14 15 15 16 15 15 14 13 12 11 11 10 10 10 10 10 10 10 11 11 10 9 8 7 7 7 8 8 8 8 7 7 7 6 6 6 6 7 9 10 8 4 1 2 6 9 9 9 10 11 11 10 9 8 8 8 8 9 9 9 8 8 8 9 8 7 5 5 6 6 5 4 4 4 5 7 7 7 6 7 9 11 11 11 11 10 9 9 8 8 8 8 7 7 6 5 5 6 8 10 12 12 12 11 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 8 8 8 8 8 8 9 10 10 10 10 10 11 11 11 11 10 9 8 6 4 4 4 5 5 4 4 4 5 5 6 7 8 8 8 8 8 7 nan
nan 12 12 13 13 13 13 13 13 13 13 13 13 13 13 14 15 16 17 17 16 15 14 13 12 11 11 10 11 10 10 10 10 10 10 9 8 8 7 7 8 8 8 8 8 8 7 7 7 6 6 7 8 9 9 7 4 4 6 9 11 12 12 13 13 12 11 10 8 8 8 9 10 9 8 8 8 8 9 8 5 4 4 5 5 4 4 4 5 6 6 6 6 6 7 9 11 11 11 10 9 9 8 8 8 8 7 7 6 5 5 6 7 9 12 13 12 11 10 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 10 11 11 11 10 10 9 9 8 7 7 7 7 6 4 3 3 4 6 7 7 8 8 7 7 7 7 nan
nan 12 12 13 13 13 13 13 13 13 12 12 12 13 13 14 15 16 17 17 16 15 14 13 12 11 11 10 10 10 10 10 10 10 10 9 8 8 7 8 8 8 8 8 8 8 7 7 7 7 7 8 9 10 9 7 6 8 10 13 13 13 12 12 11 10 9 8 8 7 8 10 10 9 8 8 9 10 9 7 4 4 5 6 6 6 6 6 7 7 7 6 6 6 7 9 11 11 11 10 9 8 8 8 7 7 7 6 6 5 6 7 8 10 12 12 11 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 10 10 10 9 9 9 9 9 9 10 10 10 9 8 6 6 6 7 8 8 7 7 7 7 6 6 7 nan
nan 12 12 12 13 13 13 13 13 12 12 12 13 13 13 14 14 15 16 16 15 13 12 12 11 11 10 10 10 9 9 9 9 10 10 10 9 8 8 8 8 8 9 9 9 8 7 7 8 8 9 9 10 11 11 10 9 10 12 13 13 11 10 9 8 7 7 8 9 9 11 12 11 9 9 10 12 11 8 6 4 4 5 6 7 7 7 7 7 8 7 7 7 7 8 10 11 11 11 10 8 8 7 7 7 6 6 5 5 6 7 9 10 11 12 10 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 8 7 7 7 7 8 8 8 9 8 8 8 8 8 8 8 9 9 10 9 9 9 9 9 9 10 9 7 7 7 7 7 7 7 7 nan
nan 12 12 12 13 13 13 13 13 13 13 13 14 14 15 15 14 14 14 14 12 11 10 10 9 9 9 10 9 9 9 9 9 9 10 10 9 8 8 8 8 8 9 9 9 8 7 7 8 9 10 10 11 12 13 14 14 13 13 13 12 11 9 8 7 6 7 9 10 12 13 13 11 10 10 12 12 10 7 5 4 4 6 7 7 7 7 7 7 8 8 8 8 8 9 10 11 11 10 9 8 7 6 6 6 6 5 5 6 7 9 11 12 12 11 9 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 8 9 9 8 8 7 nan
nan 12 12 13 13 13 13 13 14 14 14 14 14 14 15 14 14 13 13 12 11 10 9 8 8 8 9 9 9 9 9 9 9 9 10 10 9 8 8 8 8 8 8 9 8 7 7 7 8 9 10 10 11 12 14 16 17 16 14 13 12 11 10 8 7 7 7 9 10 11 12 11 10 9 9 10 9 7 5 3 3 5 6 7 7 7 7 7 7 8 8 8 8 9 9 10 11 11 10 8 7 6 6 6 6 5 5 5 7 9 11 11 11 10 9 8 8 8 9 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 7 7 7 7 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 9 10 10 10 8 8 8 nan
nan 12 12 12 12 13 13 13 14 15 15 14 14 13 13 12 12 12 12 11 10 10 9 8 8 8 8 9 9 9 9 9 9 9 10 10 9 8 8 8 8 8 8 9 8 7 6 7 8 8 9 9 10 11 14 17 18 17 15 14 12 11 9 8 7 7 8 8 9 10 10 9 8 7 7 6 4 3 1 1 3 5 7 7 7 7 7 7 7 7 8 8 8 9 10 10 11 11 10 8 7 6 6 6 6 5 4 6 8 10 11 10 10 9 8 8 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 10 9 8 8 8 8 nan
nan 12 11 11 11 12 12 13 14 14 15 14 13 12 11 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 10 10 9 8 8 7 7 8 8 9 9 8 7 7 7 7 8 8 8 9 10 13 15 15 15 15 15 13 9 7 7 8 9 9 9 8 8 8 7 7 7 5 2 -0 -1 -0 2 4 7 8 8 7 7 7 7 7 7 7 7 8 9 9 10 11 11 10 8 7 6 5 5 5 4 5 7 8 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 8 8 8 8 8 8 8 7 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 7 7 8 8 nan
nan 10 10 10 11 11 12 12 13 13 14 14 14 12 11 10 9 9 10 10 11 11 11 10 9 9 9 8 8 8 8 9 10 11 10 9 8 8 7 8 8 8 9 9 9 8 8 7 7 8 8 8 9 10 11 12 13 14 14 14 12 8 8 10 11 12 11 9 6 5 5 6 7 6 2 -1 -1 0 3 5 7 8 8 8 7 7 7 7 7 7 7 7 8 9 9 10 11 11 10 8 6 4 3 2 3 5 7 9 9 9 8 8 8 8 8 8 7 7 6 7 7 7 7 7 7 7 7 7 7 7 8 7 7 6 7 7 7 7 7 7 7 7 7 8 8 8 8 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 7 8 8 9 nan
nan 9 9 9 10 10 11 12 12 13 14 14 15 14 13 11 11 10 10 11 11 12 11 11 10 10 9 9 8 8 8 9 10 11 10 9 8 8 8 8 8 9 9 9 9 8 8 8 7 7 8 9 9 9 10 11 11 12 12 12 11 10 11 13 15 14 12 8 5 4 6 8 8 5 1 -1 1 4 6 7 8 9 8 7 6 6 7 7 8 8 8 8 8 8 8 9 11 12 11 7 4 2 2 4 6 9 10 11 11 10 10 10 10 9 8 7 7 6 6 7 8 8 8 7 7 8 8 7 7 7 7 7 6 6 7 7 7 7 7 6 7 7 7 8 8 8 8 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 nan
nan 7 7 8 9 9 10 11 12 13 14 15 15 15 15 14 13 12 11 12 12 13 12 12 11 11 10 10 9 8 8 9 10 11 10 9 9 8 8 8 8 9 10 9 9 8 8 7 7 7 8 9 9 9 10 10 11 11 11 11 11 12 13 14 14 12 10 7 6 7 9 11 10 5 1 2 5 7 8 9 9 9 8 7 6 7 8 8 8 8 8 9 9 9 9 10 12 13 11 6 3 3 5 8 11 12 12 12 11 11 11 11 10 9 8 7 6 6 7 8 8 9 8 8 7 7 8 8 8 8 7 6 6 6 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 nan
nan 5 5 6 7 8 9 10 12 13 14 15 16 16 16 15 14 13 13 13 14 14 13 13 12 12 11 10 10 9 8 9 10 10 10 9 9 9 9 8 9 9 10 9 9 8 8 7 7 7 8 8 9 9 10 10 10 10 10 10 11 12 12 10 8 7 7 7 8 10 11 11 8 4 2 5 8 10 10 10 11 10 9 7 7 8 8 8 8 8 8 9 10 9 10 12 13 13 9 4 3 4 7 11 13 13 12 11 10 10 10 10 9 8 7 6 6 6 7 8 9 9 9 8 7 7 7 8 8 8 7 6 6 7 7 8 8 8 8 8 8 9 9 9 8 8 9 8 8 8 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 nan
nan 3 3 4 5 6 8 9 11 12 14 15 16 16 16 16 15 15 14 14 14 14 14 14 13 12 11 11 10 9 10 10 10 10 9 9 9 9 9 8 9 9 10 9 9 8 8 8 7 7 7 8 9 10 10 10 10 10 10 10 10 10 8 5 4 5 8 10 11 11 10 9 5 3 5 9 11 12 12 12 12 11 9 8 8 8 8 8 8 9 9 10 10 10 11 12 12 9 5 3 4 7 10 13 13 12 10 10 9 9 9 8 7 6 6 6 6 7 8 9 9 9 8 7 7 6 7 7 8 8 7 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 8 8 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 nan
nan 2 2 3 4 5 6 8 10 11 13 14 15 16 16 16 16 15 14 14 15 15 15 15 14 12 11 11 10 10 10 11 10 10 9 9 9 9 9 8 9 9 10 9 9 9 8 8 8 7 7 8 9 10 10 10 10 10 10 9 9 7 5 3 4 7 10 12 12 10 8 6 5 5 8 11 13 13 12 12 11 9 8 8 8 9 8 8 9 10 10 10 10 12 13 12 9 6 4 5 7 10 12 13 12 10 9 8 8 8 7 6 6 6 6 6 6 7 8 9 9 9 8 7 6 6 6 7 8 8 7 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 nan
nan 2 2 3 3 4 5 7 8 10 12 14 15 16 17 17 16 16 15 14 15 15 16 15 14 12 11 10 10 10 11 11 11 10 10 10 10 9 9 9 9 10 10 10 9 9 9 8 8 8 8 8 9 9 10 10 10 10 9 9 8 7 5 5 6 8 11 12 11 9 8 7 8 9 11 13 14 12 10 8 7 7 7 8 8 7 7 9 10 10 10 10 11 13 13 10 6 5 6 8 10 12 12 12 10 8 7 7 8 8 7 7 6 6 6 6 7 8 8 9 9 9 9 7 6 6 6 7 8 8 8 7 7 7 7 7 6 7 7 7 8 8 8 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 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 nan
nan 3 3 3 4 4 5 6 7 9 11 13 15 16 17 17 17 16 15 15 15 15 15 15 14 12 10 9 9 10 11 11 11 10 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 9 10 11 11 10 9 9 10 11 12 13 14 13 11 7 5 4 5 6 6 6 5 8 10 11 11 10 10 12 13 11 8 6 7 9 11 12 12 11 9 7 6 7 7 8 8 8 7 6 6 6 7 7 8 8 8 9 9 9 8 7 6 6 7 8 9 8 8 7 7 7 7 7 7 7 7 8 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 8 8 8 7 8 nan
nan 4 5 5 5 5 5 6 7 9 10 12 14 16 17 17 17 16 15 15 15 15 15 15 14 12 10 9 9 10 11 11 11 11 11 10 10 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 9 10 11 11 10 10 11 12 12 13 13 13 13 13 11 8 5 4 5 5 5 5 5 7 10 11 12 11 10 11 12 12 10 8 8 9 11 12 12 11 8 6 5 6 7 8 8 7 6 5 5 5 7 7 8 8 9 9 9 9 9 8 7 6 6 7 8 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 8 nan
nan 5 6 7 6 6 6 6 7 8 10 12 14 16 17 17 16 16 15 15 15 15 16 15 14 13 11 11 11 11 11 11 11 11 11 11 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 11 11 11 10 11 12 13 13 13 12 11 10 9 8 6 5 5 5 5 6 7 8 9 10 10 10 9 10 12 12 11 9 9 9 10 11 11 9 8 6 5 6 7 8 8 7 6 5 5 5 7 8 8 8 9 9 10 9 9 8 8 7 6 7 8 9 9 9 8 8 7 7 7 7 7 8 9 8 8 8 8 8 9 9 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 9 9 9 9 9 9 9 9 9 9 8 8 7 7 nan
nan 6 7 8 8 7 7 7 7 8 9 11 13 15 16 16 16 16 15 15 15 16 16 16 15 13 12 12 12 12 12 12 12 12 12 11 10 9 9 10 9 9 9 9 10 10 10 10 10 9 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 10 11 12 12 12 11 10 9 8 7 6 6 6 5 4 5 7 9 10 10 10 9 9 10 12 13 12 10 9 9 10 10 9 9 8 6 6 6 7 8 8 8 7 7 7 8 8 9 9 9 9 9 10 10 9 8 7 7 7 7 7 8 9 9 8 7 7 7 7 7 7 7 8 9 9 9 9 8 8 8 9 10 10 10 9 9 9 10 9 9 9 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 8 8 7 7 nan
nan 7 8 9 8 8 7 7 7 8 9 11 12 14 16 16 16 16 15 15 16 16 17 16 15 14 13 13 14 14 13 13 13 12 12 11 11 10 10 9 9 9 9 10 10 11 11 11 10 10 9 9 8 9 9 10 10 10 9 9 10 10 10 10 11 10 10 11 11 11 11 10 10 9 7 7 6 7 7 6 6 7 9 11 12 12 11 12 12 13 13 12 11 11 10 10 10 9 9 8 7 7 7 8 8 8 8 8 8 9 10 10 10 10 9 8 9 9 9 9 8 8 7 7 6 7 8 9 8 8 7 7 7 6 6 7 7 7 8 8 9 9 9 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 nan
nan 7 8 9 8 8 7 7 7 8 9 10 12 14 15 16 16 16 15 15 16 17 17 17 15 14 13 14 14 14 14 14 13 12 12 12 12 11 11 10 9 9 10 10 11 11 11 11 11 10 9 8 7 8 8 9 9 9 10 10 10 9 9 10 10 11 11 11 11 11 10 10 9 9 8 7 7 8 8 8 9 11 12 13 13 13 13 13 13 12 11 10 10 10 11 10 10 9 8 8 7 8 9 9 8 8 8 9 10 10 10 10 9 7 7 8 8 9 9 9 8 8 7 7 6 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 nan
nan 7 8 8 8 7 7 7 7 8 9 10 12 14 16 17 17 16 16 16 17 18 18 17 16 14 13 14 14 14 14 13 13 13 13 13 13 12 11 11 10 10 10 11 11 11 12 12 11 10 9 8 7 7 7 7 8 8 9 10 10 10 10 10 10 11 12 12 12 11 10 10 9 9 8 8 8 8 8 9 11 13 14 13 13 12 11 11 10 9 9 9 9 10 10 9 9 8 8 8 8 8 9 8 8 9 9 10 10 9 8 7 6 6 7 8 8 9 9 9 8 8 7 7 6 7 8 8 8 9 9 10 10 9 8 7 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 nan
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nan 14 14 15 15 15 15 14 14 13 13 13 13 14 14 14 14 14 14 14 14 14 14 13 13 12 11 11 11 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 7 7 8 9 10 10 10 9 9 8 7 7 6 7 7 8 9 9 9 9 9 10 10 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 6 6 7 7 9 11 13 14 16 15 13 11 10 9 9 9 10 11 12 12 11 11 10 10 11 10 9 8 6 7 7 8 8 10 10 10 9 8 5 3 2 4 6 7 7 7 9 13 16 17 18 16 14 12 10 9 9 10 10 10 10 11 11 12 nan
nan 16 16 16 16 15 15 14 13 13 13 12 12 12 12 13 13 13 14 14 15 14 14 13 13 12 11 10 10 10 10 10 10 10 10 10 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 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 8 9 10 10 9 8 7 7 7 7 8 8 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 8 8 8 7 7 6 6 7 7 8 10 13 15 16 14 12 11 10 10 10 10 10 11 12 11 11 10 10 11 11 10 9 8 8 9 10 10 10 11 10 8 7 4 2 1 3 5 6 7 7 7 9 13 16 17 16 14 11 10 9 9 9 10 10 10 11 12 12 12 nan
nan 16 16 15 15 14 13 13 13 12 11 10 10 10 10 10 11 12 13 14 14 13 13 12 11 10 9 9 9 9 9 9 9 9 9 9 8 9 9 10 10 10 10 10 10 9 9 9 9 9 10 9 9 9 9 9 9 9 8 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 8 7 7 8 9 9 8 7 7 7 8 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 7 7 6 6 7 7 8 10 13 15 16 13 12 11 11 10 10 10 10 11 11 11 10 10 10 11 10 9 8 8 9 10 10 11 12 12 11 9 6 4 3 4 5 6 6 6 6 7 9 12 13 14 13 11 10 10 9 9 9 9 10 10 11 11 12 11 nan
nan 14 14 14 14 14 13 12 11 10 10 9 10 10 10 11 11 12 13 13 12 12 11 10 10 9 8 7 8 8 8 9 9 9 9 8 8 9 9 9 9 9 9 10 10 10 9 9 9 10 9 9 9 9 8 8 9 9 9 9 10 10 11 11 11 11 10 10 10 9 9 8 8 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 8 9 9 10 10 9 9 8 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 7 7 6 6 7 7 8 10 12 14 14 13 12 11 11 10 10 10 10 10 11 11 10 10 10 9 9 8 8 8 9 10 11 13 14 14 12 10 8 7 6 6 7 6 6 6 6 7 8 8 9 10 11 11 11 11 9 9 10 10 10 10 10 10 9 8 nan
nan 12 12 12 13 12 12 11 11 10 10 10 10 11 11 12 12 13 13 12 11 11 10 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 7 6 6 7 7 8 9 11 12 12 12 11 10 10 10 9 9 10 11 12 11 10 10 9 9 8 8 8 9 11 12 13 14 14 13 10 8 8 7 7 6 6 6 6 6 6 7 7 7 8 10 12 14 13 12 10 10 10 10 10 9 7 6 5 7 nan
nan 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 13 12 11 11 10 10 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 11 10 10 9 9 9 9 8 8 7 8 8 9 9 9 9 9 9 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 7 6 6 6 6 7 7 8 9 9 11 12 12 12 11 10 9 9 10 11 11 11 11 10 10 9 9 9 9 10 11 12 12 13 13 12 10 7 5 5 5 5 6 6 6 6 6 7 7 7 8 9 11 13 15 14 12 11 11 10 9 7 4 1 0 2 6 nan
nan 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 12 12 12 12 12 11 11 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 11 10 10 10 11 10 10 10 10 9 8 8 8 8 8 9 9 9 9 9 10 10 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 9 8 7 6 6 6 6 6 7 8 8 8 8 10 12 13 13 12 11 10 10 11 11 10 10 10 10 10 9 9 9 10 10 11 11 11 10 10 9 6 3 2 3 4 5 5 6 6 6 6 7 7 8 8 9 11 14 15 15 14 12 9 7 5 2 -1 -3 -2 4 9 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 12 12 13 13 13 13 12 12 11 10 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 9 7 7 6 6 6 6 6 7 8 8 8 7 7 9 12 14 14 13 11 11 11 11 9 9 9 9 9 9 9 9 10 9 9 10 10 9 9 9 7 4 1 0 1 3 5 5 5 6 6 7 7 8 8 9 10 12 15 17 19 16 11 7 3 2 0 -0 1 6 12 15 nan
nan 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 10 10 11 12 13 13 13 13 13 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 10 10 10 9 9 9 9 9 9 9 8 8 8 8 9 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 10 10 9 8 6 6 6 6 6 7 8 8 8 8 7 7 7 9 11 13 13 11 9 9 9 8 7 8 8 9 8 9 9 10 10 9 9 10 9 9 8 7 6 3 -0 -1 0 3 5 5 5 6 6 7 8 9 10 10 11 13 17 21 22 16 9 4 2 2 3 5 9 14 18 18 nan
nan 11 12 12 12 12 11 10 10 10 10 10 10 9 9 10 10 11 12 12 13 13 13 13 13 12 12 11 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 10 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 7 7 7 8 8 9 10 11 11 11 11 10 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 11 11 10 10 10 9 9 8 7 7 7 8 9 9 8 7 7 7 7 9 10 11 10 8 7 6 6 5 7 9 9 9 9 9 10 10 10 10 10 10 9 8 7 6 5 2 -1 -1 1 3 4 5 5 6 7 8 9 10 11 11 13 17 21 24 20 12 5 2 4 7 9 9 11 14 16 18 nan
nan 9 11 12 12 12 11 10 10 10 10 10 10 9 9 10 11 12 12 13 12 12 12 12 12 11 11 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 8 7 6 6 7 7 8 8 9 10 11 11 11 10 9 9 9 8 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 12 12 12 11 11 10 10 10 10 11 11 10 9 8 9 10 10 9 7 7 7 7 8 9 9 9 9 8 6 5 4 6 10 12 12 11 11 12 12 11 10 10 10 10 8 8 8 8 7 3 -0 -0 1 3 4 5 7 8 9 10 11 12 12 14 17 22 26 25 16 8 4 4 8 10 10 10 11 13 17 20 nan
nan 9 9 10 11 12 11 11 10 10 10 10 9 9 9 9 10 11 12 12 12 12 12 12 12 11 11 10 9 9 8 8 9 9 9 9 8 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 7 6 6 7 8 8 8 9 10 10 11 11 10 9 9 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 11 10 10 9 9 11 11 10 8 6 6 7 8 8 9 9 9 8 8 7 6 6 9 13 13 13 12 14 14 14 13 11 11 10 9 8 8 8 8 6 2 -1 -1 1 4 6 7 9 10 11 12 12 13 13 16 21 24 26 18 9 5 5 8 10 10 10 10 12 16 21 25 nan
nan 9 10 10 11 11 11 11 11 11 10 10 9 8 8 9 10 11 12 12 12 12 12 13 12 12 11 10 9 9 9 9 9 9 9 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 9 9 9 8 8 7 7 7 8 9 9 9 9 10 10 11 11 10 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 11 10 10 10 9 10 10 10 11 12 12 11 11 11 11 10 10 10 10 10 10 9 9 10 11 10 8 6 5 6 8 9 9 9 9 9 9 8 7 6 8 11 12 12 12 13 14 14 13 12 11 10 9 8 7 6 4 3 -1 -5 -5 -3 1 6 8 10 11 12 12 13 13 14 15 18 20 21 16 8 4 4 7 10 10 10 10 11 15 21 25 26 nan
nan 10 11 12 12 12 12 12 11 11 10 9 8 8 8 9 10 10 11 11 11 12 13 13 13 12 11 10 10 9 9 9 9 8 8 8 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 10 9 9 8 8 7 8 8 8 8 8 9 10 10 11 10 11 11 10 10 10 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 11 10 10 10 10 10 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 11 11 11 9 7 6 6 8 9 10 10 10 9 9 8 7 7 7 9 10 10 11 12 13 13 12 11 10 10 9 8 7 3 0 -2 -5 -7 -7 -4 0 5 9 11 12 12 13 14 14 16 17 18 19 18 15 9 5 5 7 9 10 10 10 11 15 22 26 28 25 nan
nan 11 11 12 13 13 13 12 11 10 9 8 7 7 8 8 9 10 10 11 11 12 13 14 14 13 12 11 10 9 9 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 8 8 7 7 7 7 7 8 9 10 10 11 11 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 10 10 10 11 11 9 8 7 7 8 9 10 10 10 9 9 8 7 7 7 8 9 9 10 11 14 15 13 12 11 9 8 6 4 1 -2 -4 -5 -5 -3 -0 3 7 10 12 12 13 14 14 16 19 21 23 22 20 18 14 10 9 9 10 10 10 11 13 17 24 29 30 27 22 nan
nan 11 11 12 12 13 12 12 11 9 8 7 7 7 8 8 8 9 10 11 12 12 13 14 14 14 13 12 11 10 9 8 8 8 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 9 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 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 9 7 8 9 10 10 10 10 9 9 8 7 6 7 8 8 9 9 10 12 15 15 14 12 10 6 3 0 -2 -3 -4 -3 -1 2 5 8 10 11 12 13 14 15 17 19 22 26 28 27 24 22 19 15 12 11 10 10 10 11 14 19 25 30 30 27 21 15 nan
nan 11 11 11 12 12 11 10 10 9 8 7 7 7 8 7 8 9 10 11 12 13 14 14 14 14 14 13 12 10 9 9 8 8 8 8 9 10 10 10 10 10 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 9 10 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 9 9 11 12 12 11 11 11 10 8 6 6 7 8 9 9 10 10 10 12 13 13 13 11 6 2 -0 -1 -1 1 2 5 8 10 12 13 13 13 15 17 19 21 23 26 28 30 28 23 19 16 13 10 9 9 10 11 12 15 20 26 29 28 24 18 13 11 nan
nan 12 12 12 11 11 10 10 9 9 9 8 8 7 7 7 8 9 9 10 11 12 13 13 14 14 13 13 12 11 10 9 8 8 8 9 10 11 11 11 10 10 10 9 9 9 9 8 8 8 9 8 8 9 9 9 9 8 8 7 7 7 8 9 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 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 10 10 10 10 11 12 12 12 11 12 11 9 6 6 8 10 11 11 11 11 11 12 13 13 14 14 11 7 5 5 7 9 11 12 14 17 19 19 17 16 17 20 23 24 24 25 25 24 21 16 12 9 7 5 4 6 10 13 15 18 21 26 28 26 22 16 12 10 10 nan
nan 11 12 11 11 11 10 10 9 9 9 9 8 8 7 7 8 9 9 10 11 12 12 13 13 13 13 13 12 11 10 9 8 8 9 10 10 11 11 11 10 10 9 9 9 9 9 8 8 8 9 9 9 9 9 9 8 8 7 7 7 8 9 9 10 11 11 11 11 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 11 11 11 11 10 10 11 9 8 6 8 12 14 14 14 13 13 14 15 17 18 20 19 16 14 14 15 17 18 19 20 21 22 21 18 15 14 16 18 19 18 16 16 14 10 7 5 5 7 8 8 11 15 18 20 21 24 26 27 25 20 15 11 10 10 10 nan
nan 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 9 9 9 10 11 11 12 12 12 13 12 12 11 10 9 9 8 9 10 10 11 11 11 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 8 8 7 7 7 7 8 8 9 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 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 9 8 9 9 8 7 8 11 14 16 16 14 14 15 17 19 21 22 22 21 19 18 19 19 20 20 21 21 20 18 13 8 5 7 10 13 12 10 10 10 9 7 8 11 15 17 17 18 21 22 23 23 24 24 24 22 18 14 11 10 10 10 10 nan
nan 12 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 12 12 12 11 11 10 9 9 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 9 9 9 9 9 8 7 7 7 8 9 9 9 10 10 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 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 10 10 10 10 9 8 7 7 7 7 8 9 11 13 13 13 13 13 14 16 18 19 18 17 16 16 16 17 17 17 17 16 15 13 9 7 5 6 10 15 18 18 18 18 18 17 18 20 23 25 24 20 19 19 19 19 19 19 18 17 14 12 11 10 10 10 10 9 nan
nan 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 9 9 8 8 8 8 9 9 9 10 9 9 10 10 10 10 10 9 9 9 9 9 9 10 9 8 8 7 6 7 8 9 10 11 11 10 10 10 9 8 8 8 8 9 9 8 8 9 9 9 9 9 9 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 10 10 10 10 10 9 8 7 6 6 6 7 8 10 10 10 10 10 11 11 12 12 13 14 13 12 12 12 12 12 12 12 12 11 10 9 10 11 14 17 21 24 25 25 24 24 23 23 24 24 24 22 18 15 14 13 13 13 13 13 12 11 11 10 11 11 10 10 9 8 nan
nan 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 9 8 8 7 8 8 9 9 10 10 10 9 10 10 11 11 10 10 9 9 10 10 10 10 9 8 7 7 7 7 8 9 10 11 11 10 10 10 10 9 8 8 8 9 9 9 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 6 5 3 3 4 5 7 9 9 10 10 10 10 10 10 10 10 11 11 11 10 8 8 8 9 9 10 10 10 10 11 14 16 18 20 22 23 23 22 20 18 18 18 18 17 15 13 11 11 11 11 11 11 11 10 10 10 10 11 11 10 10 10 10 9 nan
nan 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 8 7 7 7 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 9 8 7 7 7 8 10 10 11 11 10 10 10 10 11 11 10 10 9 10 10 9 9 9 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 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 6 3 1 -1 -2 -2 1 4 6 8 8 9 9 9 9 9 9 9 10 10 10 8 4 2 2 5 8 10 11 11 11 11 12 13 14 15 15 16 16 15 14 13 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 11 11 nan
nan 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 9 9 8 7 7 6 6 7 7 8 9 10 10 11 11 11 10 10 10 10 10 10 10 10 9 9 8 7 6 7 8 9 11 12 11 10 10 9 9 10 11 11 11 11 11 11 10 10 9 9 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 8 8 7 7 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 7 4 0 -3 -5 -5 -3 -1 2 4 5 6 6 6 7 7 7 6 5 6 8 8 7 3 -3 -4 -0 5 12 14 13 12 12 12 12 12 12 12 13 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 nan
nan 12 12 13 12 12 11 11 11 11 10 10 9 9 9 9 8 8 8 8 9 9 8 8 7 7 6 6 6 6 7 8 9 10 10 11 11 11 11 11 11 10 9 9 9 8 7 7 7 7 8 9 10 12 11 10 9 8 8 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 8 7 6 6 6 6 6 6 6 7 7 8 8 9 9 10 10 10 10 10 10 9 10 9 8 8 6 3 -1 -5 -6 -4 -1 2 5 6 7 6 6 5 5 5 4 2 0 0 2 5 5 3 -2 -6 -3 3 11 18 19 16 14 13 12 12 12 12 12 12 12 12 11 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 11 11 nan
nan 13 13 13 12 11 11 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 7 8 9 11 11 11 11 11 11 11 11 10 9 8 7 7 7 8 9 9 10 11 12 11 9 7 7 7 7 8 9 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 8 8 9 9 9 8 7 6 5 5 5 5 5 4 4 4 5 6 7 8 9 9 10 10 10 9 8 7 6 5 3 1 -1 -4 -5 -2 1 5 8 8 9 8 9 8 8 7 6 4 2 0 1 3 5 4 2 -3 -2 4 12 20 24 22 18 15 13 12 12 12 12 12 12 12 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 11 11 nan
nan 13 13 12 12 11 11 11 11 11 11 10 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 10 11 12 12 12 12 11 11 10 9 8 7 7 7 8 9 10 11 11 11 10 8 7 6 6 7 8 8 9 9 9 9 9 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 8 7 6 6 6 6 6 6 6 5 5 6 6 6 6 5 4 4 4 4 5 6 7 8 9 10 9 8 6 5 3 1 -1 -1 -2 -1 1 4 7 9 9 9 9 9 10 10 10 9 9 8 7 7 7 8 8 6 4 3 8 14 21 27 27 23 18 15 12 12 12 12 12 12 12 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 10 11 11 11 nan
nan 13 12 12 12 12 11 11 11 11 10 9 8 8 7 7 7 7 8 8 9 8 8 8 7 7 7 7 8 8 9 10 11 12 12 12 12 12 10 9 8 8 7 8 8 8 9 9 10 10 10 9 8 7 6 7 8 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 12 12 12 12 11 9 8 6 5 4 4 4 4 5 5 6 7 7 8 8 7 7 7 6 6 6 7 8 9 9 9 7 6 5 5 4 3 3 4 5 7 8 9 9 9 9 10 10 10 11 11 10 10 10 10 11 11 11 10 9 9 10 15 20 25 26 23 19 16 13 12 12 12 12 12 12 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 10 11 11 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 5 6 6 13 27 46 67 83 81 63 64 84 114 154 213 304 418 521 624 760 929 1110 1260 1310 1392 1407 1409 1340 1159 893 625 415 260 168 121 87 52 31 14 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 14 30 51 69 77 72 69 79 103 136 180 244 335 441 525 615 779 980 1168 1305 1347 1368 1371 1326 1189 958 692 473 313 206 137 112 102 84 59 30 13 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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