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 8 8 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 5 6 6 7 7 6 6 5 4 3 3 4 5 6 6 6 6 6 7 9 10 10 8 7 7 7 7 7 8 8 9 8 8 8 8 7 6 5 4 4 4 4 1 -1 -1 1 2 3 4 5 5 6 6 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 9 9 9 8 8 7 6 5 5 6 6 8 10 12 14 15 16 16 15 14 13 13 12 11 10 10 9 9 8 8 7 6 6 6 6 7 nan
nan 8 8 8 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 6 6 6 6 6 6 6 5 5 6 6 7 7 7 6 6 5 4 4 3 4 6 7 8 7 7 7 8 9 10 9 8 7 6 6 7 8 9 9 8 8 7 7 7 6 5 4 3 4 6 6 3 -1 -2 0 2 4 4 5 5 5 6 6 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 10 10 10 10 10 10 9 8 7 6 5 5 5 5 6 8 10 12 13 13 14 14 15 14 13 13 13 13 12 11 10 9 8 7 6 6 6 7 nan
nan 8 8 8 9 9 9 9 8 7 6 6 6 7 7 7 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 8 8 7 7 6 5 5 5 5 6 7 9 10 10 9 8 7 8 9 10 10 8 7 7 7 8 8 8 8 8 7 7 7 8 7 5 5 5 6 6 6 4 -0 -1 1 3 4 4 5 5 5 5 6 6 7 7 8 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 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 9 8 7 6 6 5 5 6 7 8 10 11 12 14 15 15 15 16 16 16 14 13 12 12 10 8 7 6 6 7 nan
nan 9 9 9 10 10 9 8 7 7 6 6 6 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 8 7 6 5 5 6 8 8 9 10 11 11 10 8 7 7 9 11 12 11 9 8 7 8 8 7 7 7 7 7 7 8 9 8 7 6 6 7 7 7 5 2 1 3 4 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 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 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 9 9 9 9 10 10 10 10 10 9 8 8 7 6 6 6 6 7 8 10 11 12 14 15 17 17 17 16 15 15 13 11 10 8 7 7 8 nan
nan 9 9 9 10 9 8 7 7 7 7 7 7 7 7 7 8 7 7 8 8 8 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 6 6 6 7 9 10 10 10 9 10 9 8 6 5 8 11 13 12 10 9 8 7 8 7 7 7 7 7 7 8 9 10 9 8 7 7 7 7 7 6 5 5 6 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 8 8 7 7 7 7 7 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 8 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 10 10 10 9 9 9 8 7 6 6 5 6 7 8 10 12 13 15 16 16 17 17 15 14 12 11 10 9 9 9 nan
nan 9 8 8 9 8 8 7 7 7 8 8 7 7 8 8 8 7 7 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 7 7 7 7 6 5 5 6 7 7 7 8 9 10 10 9 8 7 8 7 6 6 6 10 13 12 10 9 8 7 7 8 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 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 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 9 10 10 10 9 7 6 5 5 5 6 7 9 11 13 14 15 16 16 15 14 14 13 12 11 10 10 nan
nan 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 6 6 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 6 5 5 5 4 4 6 8 8 8 8 9 9 8 7 7 7 7 7 7 7 8 11 12 10 8 8 8 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 7 7 6 6 7 7 7 6 6 5 5 5 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 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 10 10 10 9 8 7 6 5 5 6 7 8 10 12 14 14 15 15 15 15 15 14 13 12 11 nan
nan 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 7 7 6 5 5 6 6 6 5 4 3 3 3 4 7 9 9 8 7 8 7 7 7 7 7 8 8 8 8 8 9 10 8 7 8 8 8 8 8 8 8 7 6 7 7 8 8 8 8 8 7 6 5 6 7 7 8 8 8 8 8 8 9 10 10 8 7 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 7 7 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 9 9 10 9 9 8 7 6 6 5 6 6 8 9 10 12 13 14 15 16 16 15 14 14 13 nan
nan 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 8 8 7 7 6 6 5 5 5 6 6 5 4 3 2 3 5 7 8 9 8 7 6 6 6 6 6 6 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 7 7 6 7 8 8 8 8 8 7 6 4 5 7 8 8 8 8 8 8 8 9 10 11 10 8 5 3 4 5 5 5 5 5 4 5 5 5 6 7 7 8 8 8 8 8 8 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 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 7 6 6 6 6 6 7 8 10 12 13 14 15 15 16 16 16 nan
nan 8 8 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 6 5 5 5 6 6 7 6 5 4 4 5 6 8 9 9 8 7 5 4 4 5 6 6 6 7 7 8 9 10 10 10 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 8 8 7 7 8 10 9 9 9 9 8 8 9 9 9 9 9 6 3 2 4 5 5 5 4 4 4 4 4 5 6 7 8 8 8 8 8 8 8 8 9 9 9 9 9 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 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 6 6 5 5 6 7 9 10 12 13 15 16 17 17 nan
nan 7 7 7 7 7 8 8 9 8 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 6 5 5 5 6 7 7 6 6 5 6 7 8 9 10 9 8 7 6 4 4 4 6 7 7 7 7 7 9 11 11 10 9 9 8 8 8 8 8 8 8 8 8 7 8 8 8 8 9 9 8 8 8 9 10 11 10 10 10 9 8 8 8 8 7 8 7 6 4 4 5 5 4 4 4 4 4 3 3 4 5 6 7 8 8 8 8 8 8 8 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 7 6 6 5 5 6 7 7 9 10 12 14 15 16 nan
nan 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 7 7 7 7 7 7 6 6 6 6 7 7 7 6 6 5 6 8 9 9 8 7 7 7 6 5 5 6 7 7 7 7 6 8 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 9 9 9 8 9 10 10 10 10 9 8 7 7 7 7 7 7 7 7 7 7 6 5 4 4 4 4 3 3 2 2 4 6 7 7 8 8 8 8 8 8 8 9 9 9 9 9 10 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 7 6 6 6 6 6 6 7 8 10 12 14 nan
nan 8 8 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 7 7 8 8 7 6 6 6 7 7 7 6 5 5 6 7 6 6 6 7 7 7 8 7 8 10 10 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 8 7 6 7 7 7 7 7 7 8 8 9 8 7 6 4 4 4 4 3 2 2 2 3 5 6 7 7 7 7 7 7 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 8 8 8 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 9 8 8 8 7 7 7 6 6 5 5 6 8 10 nan
nan 8 8 7 7 8 8 8 8 8 8 8 7 8 8 9 9 9 7 6 6 6 7 7 7 7 7 7 8 8 8 8 7 7 7 6 6 5 5 4 3 5 6 6 6 6 7 7 8 8 9 10 10 9 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 8 8 9 9 9 9 8 8 8 9 8 7 6 6 6 6 7 8 8 9 9 9 8 8 7 6 5 5 3 2 2 1 1 2 3 5 5 6 6 6 6 7 7 7 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 8 8 8 8 8 8 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 9 9 8 8 8 8 8 8 7 6 5 4 5 6 nan
nan 7 7 7 7 7 8 7 8 8 8 8 7 8 9 9 9 8 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 7 6 6 5 5 4 4 5 6 6 5 6 7 7 8 8 9 10 9 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 8 8 9 9 9 8 7 8 8 9 8 7 6 6 6 7 8 8 9 9 9 8 8 8 7 7 7 4 2 0 1 1 1 1 2 3 4 5 5 5 6 6 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 8 8 7 6 5 4 4 nan
nan 6 6 7 8 8 7 7 7 7 8 8 8 8 9 9 8 7 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 8 8 7 6 5 5 6 6 6 6 7 7 8 8 9 9 8 7 7 7 7 7 7 7 7 7 7 8 9 9 9 8 8 8 9 9 9 9 9 8 8 7 7 7 8 8 8 7 6 6 7 8 8 8 8 8 8 7 7 7 7 8 7 4 1 -0 0 1 1 2 2 2 3 4 5 5 5 6 6 7 7 7 7 7 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 9 9 9 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 8 8 7 6 5 nan
nan 7 6 7 8 8 7 7 7 7 7 8 8 9 9 9 7 6 6 7 7 7 8 8 8 7 7 6 7 7 8 8 8 9 8 8 8 8 7 6 5 5 6 6 6 7 7 7 8 8 9 9 8 6 6 7 8 8 8 7 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 7 7 8 8 9 9 8 7 7 7 6 6 7 7 8 7 5 3 1 1 2 2 2 2 3 4 4 5 5 5 5 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 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 7 7 nan
nan 8 7 7 7 8 8 8 8 8 8 8 8 9 10 9 7 6 7 8 8 8 8 8 7 6 6 6 6 6 7 9 9 9 8 7 7 6 6 5 6 7 7 7 7 7 7 8 8 9 9 8 6 5 6 7 8 8 8 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 9 8 8 7 6 6 6 6 6 6 7 7 7 5 3 3 4 4 3 3 4 5 6 6 5 4 4 4 5 6 7 7 7 7 7 7 7 7 8 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 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 9 9 9 8 8 8 8 8 7 nan
nan 9 8 7 7 8 9 10 10 10 9 9 9 10 10 9 7 7 7 8 8 8 8 8 7 6 6 6 6 6 7 8 9 8 7 7 6 6 6 8 9 10 9 8 7 7 8 8 8 8 7 6 5 5 6 7 8 8 7 7 7 7 8 8 9 9 9 9 8 8 8 9 8 8 8 8 8 8 7 7 8 8 8 8 9 9 9 9 8 8 7 7 7 7 7 6 6 6 7 7 6 6 7 7 6 6 6 7 9 9 7 5 4 3 3 5 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 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 nan
nan 11 9 8 8 9 9 10 10 10 10 11 11 11 11 10 8 7 7 8 8 9 9 8 6 6 7 7 8 8 8 8 7 7 6 6 6 6 8 10 12 12 10 9 8 7 8 8 8 7 7 6 6 6 7 7 8 8 7 7 7 7 8 9 9 9 9 9 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 8 8 8 7 7 7 7 7 6 7 8 8 8 9 12 14 14 12 8 5 2 1 2 3 5 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 nan
nan 10 9 9 8 8 9 9 9 10 10 11 11 11 11 9 8 7 7 8 8 8 8 7 6 7 8 9 9 9 9 8 8 7 7 7 6 6 8 10 11 10 10 8 7 7 8 8 8 7 7 7 6 7 8 8 8 8 7 7 7 8 9 9 9 10 10 9 8 8 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 8 8 8 8 8 8 8 7 7 8 7 6 6 7 8 9 12 16 18 16 13 8 4 2 1 1 2 4 5 5 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 9 9 8 8 8 8 nan
nan 10 9 9 8 8 8 9 9 9 9 10 10 10 10 9 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 8 7 6 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 8 8 7 7 8 8 9 9 10 10 10 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 8 7 7 8 8 7 6 6 7 9 11 13 14 13 10 6 3 2 2 2 2 3 4 4 5 5 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 9 9 9 8 8 9 9 9 9 8 8 7 7 7 7 7 8 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 nan
nan 9 9 9 9 9 9 9 9 8 8 8 9 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 8 9 8 8 9 9 8 7 6 6 6 7 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 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 9 8 7 8 8 8 7 7 7 7 8 9 9 9 8 7 5 5 5 5 4 3 3 3 4 4 5 5 6 6 6 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 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 nan
nan 9 9 9 9 9 9 9 8 8 7 8 9 9 9 9 9 9 8 8 7 7 7 7 7 6 5 6 7 8 8 6 6 7 8 8 7 6 6 7 8 10 10 9 8 8 9 9 10 10 10 10 9 9 9 9 9 10 11 12 13 13 12 12 11 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 8 8 8 9 8 8 9 8 8 8 7 7 7 7 7 7 7 7 6 7 8 9 8 6 5 4 4 4 4 4 5 5 6 6 7 7 7 7 7 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 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 nan
nan 8 8 8 8 8 8 8 7 7 7 7 7 7 6 7 9 9 9 9 9 8 8 7 7 6 6 6 8 8 8 7 6 7 7 7 7 7 7 8 9 10 9 8 7 8 8 9 10 11 11 10 9 9 9 9 10 12 13 14 15 14 14 13 11 9 8 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 9 9 8 8 7 7 8 7 7 6 7 7 7 7 8 10 11 10 9 8 6 5 5 5 5 5 6 6 6 7 7 7 7 7 7 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 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 9 9 8 8 9 nan
nan 6 6 7 7 7 7 7 7 7 7 7 6 6 5 6 7 9 9 9 9 9 8 8 7 7 7 8 9 8 8 8 8 8 8 8 8 7 7 8 8 8 7 6 6 7 7 9 10 12 12 11 9 9 9 10 11 13 14 14 14 13 13 12 12 11 10 9 9 8 8 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 7 8 8 9 9 9 9 9 8 8 8 8 8 8 7 8 8 8 7 6 6 7 7 8 9 9 9 10 11 11 10 8 7 7 7 7 8 8 8 7 7 6 6 7 7 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 9 9 9 9 9 9 9 8 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 nan
nan 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 8 8 8 7 7 7 6 6 6 7 7 8 9 11 12 12 10 9 8 9 10 11 11 12 11 11 11 12 12 13 12 11 11 10 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 6 7 7 7 8 8 7 7 9 11 11 12 11 11 11 12 13 13 12 10 8 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 nan
nan 6 5 6 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 11 10 9 8 8 8 8 8 7 7 7 7 8 8 8 8 9 10 10 10 9 8 9 9 9 9 9 9 9 10 11 12 12 12 12 11 11 11 10 9 8 8 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 7 8 9 11 12 13 16 18 20 19 17 13 8 5 4 5 6 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 10 10 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 nan
nan 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 8 7 7 7 7 8 8 8 8 9 9 9 8 8 8 9 9 8 8 8 9 9 10 10 10 10 10 10 11 11 11 11 10 10 11 11 11 10 10 9 9 8 8 8 8 9 9 8 8 8 8 8 7 7 7 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 7 7 7 9 11 14 17 19 20 19 16 10 3 1 2 4 5 6 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 nan
nan 8 8 9 8 8 9 9 9 9 9 8 8 8 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 8 7 6 6 6 7 7 8 9 10 11 11 10 9 9 10 10 9 7 7 7 8 9 10 11 11 11 11 10 10 9 9 9 9 9 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 9 8 8 7 7 8 8 8 7 7 6 6 6 6 6 6 8 9 11 13 14 13 11 5 -1 -3 -2 0 3 5 6 6 6 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 10 10 10 10 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 nan
nan 7 7 7 7 8 9 9 9 9 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 8 8 9 9 9 8 8 8 8 7 7 8 9 10 11 11 11 11 11 11 11 10 8 6 6 7 9 10 10 9 8 7 7 7 7 8 7 8 9 10 11 10 10 11 12 11 11 10 9 8 8 8 9 9 9 8 7 7 8 9 9 8 8 8 8 8 8 8 8 7 8 8 9 9 9 8 8 8 8 8 8 8 8 7 7 7 6 6 6 7 7 8 8 9 7 2 -4 -8 -6 -2 1 4 6 7 6 6 6 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 5 6 7 8 9 10 10 9 9 9 9 9 9 9 8 9 9 8 8 8 8 8 8 8 9 8 7 6 7 8 9 9 10 10 10 9 8 8 8 8 7 8 9 10 10 10 10 10 9 7 6 7 8 7 5 4 4 3 4 5 7 8 8 9 10 11 11 9 9 9 11 11 11 10 9 8 8 7 7 8 8 8 8 8 8 9 9 9 8 8 8 9 9 8 7 8 8 8 8 9 9 8 8 8 8 8 8 8 8 7 7 7 6 6 6 7 7 7 8 7 4 -1 -5 -5 -2 2 5 7 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 8 9 9 9 9 9 9 9 10 10 10 9 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 nan
nan 4 6 8 10 12 12 11 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 9 9 9 7 6 5 5 6 6 7 9 10 10 9 8 8 7 6 4 5 6 8 8 9 9 9 9 8 8 8 7 4 1 0 1 2 4 7 9 9 8 8 9 10 9 6 5 5 7 9 11 12 11 10 8 7 7 7 7 8 8 8 8 8 9 9 9 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 7 7 7 7 5 2 -1 -1 2 7 11 12 12 10 9 8 7 7 7 8 8 8 8 9 9 8 8 8 8 8 8 9 9 9 9 9 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 nan
nan 6 7 9 11 12 12 11 9 8 7 7 7 8 9 10 9 9 9 9 8 8 8 9 9 9 8 7 6 6 5 5 6 7 8 8 8 8 9 8 6 4 4 5 6 7 7 7 7 8 9 9 8 6 3 1 1 2 4 7 9 9 7 6 6 7 7 5 3 2 3 5 9 13 14 14 12 10 9 7 7 7 8 8 9 9 9 9 9 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 5 4 4 8 14 19 20 18 15 13 10 9 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 nan
nan 8 8 9 11 11 11 10 9 7 7 7 8 9 10 10 10 9 9 8 7 7 8 9 9 10 9 9 9 9 8 7 7 7 7 7 7 8 10 9 5 4 4 5 6 6 6 7 7 8 9 10 10 7 5 4 4 4 5 7 7 5 4 3 4 5 4 4 3 3 5 8 12 15 16 15 12 11 10 9 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 8 10 12 17 22 23 21 19 17 15 12 8 6 5 6 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 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 11 11 11 10 10 10 10 10 10 nan
nan 8 9 9 9 10 10 9 8 7 7 8 9 10 10 9 9 8 8 7 7 7 8 8 9 9 9 10 11 10 9 9 9 9 8 7 7 9 10 8 4 3 4 6 6 6 6 7 7 7 8 10 10 8 7 6 6 6 5 4 3 2 2 3 3 4 4 4 4 5 8 10 13 15 15 12 11 11 11 11 11 9 9 9 9 10 9 8 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 9 11 14 17 17 16 15 15 16 14 11 7 4 4 6 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 6 6 6 7 7 8 8 9 10 11 11 10 8 8 8 9 8 7 7 9 10 8 5 4 5 6 7 8 7 6 6 7 8 9 10 10 9 9 9 8 6 3 2 2 3 3 4 4 5 5 6 7 9 10 11 12 11 9 9 10 12 12 11 10 9 9 9 10 9 8 7 7 7 6 6 6 7 8 8 8 8 8 8 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 7 8 9 10 11 10 9 9 10 11 11 9 4 2 3 5 6 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 8 8 8 8 8 8 8 9 9 8 8 7 7 7 8 8 6 5 6 6 7 8 8 8 9 10 10 10 9 7 6 6 7 7 6 6 8 9 9 8 8 8 9 9 8 7 6 6 6 7 8 9 10 11 12 11 9 6 5 5 5 5 5 5 6 6 6 7 8 9 9 9 8 8 8 9 11 11 10 10 9 9 9 9 10 9 8 8 8 7 6 5 6 6 7 7 6 7 7 7 8 8 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 9 10 8 6 5 4 4 3 1 -2 -1 1 4 6 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 8 8 8 8 7 8 8 9 9 9 8 7 7 7 8 8 6 5 5 6 8 9 9 9 9 9 10 9 8 7 7 6 6 6 6 6 7 8 10 11 11 11 11 9 7 6 5 6 6 7 7 8 9 11 12 10 7 6 7 8 8 8 7 7 8 8 8 8 8 8 8 8 7 7 7 9 10 9 9 9 10 10 10 10 9 9 9 9 9 8 7 7 7 7 7 7 7 6 6 7 7 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 8 7 8 8 9 9 8 6 2 -1 -5 -7 -9 -11 -9 -4 0 4 6 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 11 11 10 10 11 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
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nan 10 10 10 10 11 11 10 9 8 8 7 8 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 11 10 9 8 7 7 7 8 8 9 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 10 10 10 9 8 8 8 8 8 8 8 8 9 10 10 9 7 5 4 3 3 3 4 5 6 8 9 10 10 10 10 9 9 9 8 8 8 8 8 8 8 10 10 11 10 10 10 10 9 10 10 10 10 10 11 11 12 12 12 11 10 10 10 11 11 12 12 12 13 12 11 10 10 10 11 12 13 13 13 13 13 15 19 23 25 26 27 27 28 28 29 28 27 25 23 21 18 15 13 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 nan
nan 10 10 10 10 10 10 10 9 9 8 8 9 9 10 10 11 11 11 11 10 11 11 11 11 10 11 10 10 10 9 8 8 7 8 8 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 9 9 10 11 11 10 9 8 8 8 8 8 8 8 9 10 11 10 9 7 5 4 4 5 5 5 6 6 7 8 8 8 8 8 8 8 8 8 7 6 6 6 7 9 10 11 10 10 10 9 9 9 9 9 9 9 10 10 11 12 12 12 11 10 10 9 9 9 9 9 10 11 12 12 11 11 11 11 11 12 12 12 12 13 14 17 20 22 23 21 20 19 20 23 25 27 27 26 23 20 17 15 14 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 9 10 10 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 10 9 9 8 7 7 7 7 8 8 9 9 9 9 9 10 10 10 10 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 9 9 8 8 8 8 9 10 11 12 10 8 6 5 6 7 8 8 9 9 9 8 8 7 8 8 9 10 11 10 10 8 7 6 6 7 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 11 12 12 12 12 11 10 10 9 8 8 8 9 10 11 12 12 13 13 12 11 11 11 11 12 13 13 14 14 15 16 14 11 8 6 7 8 11 13 14 13 12 13 15 16 14 13 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 11 11 nan
nan 10 10 11 12 12 12 12 11 11 10 10 10 10 10 9 9 9 10 10 10 10 10 9 8 7 6 6 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 9 9 10 10 11 10 10 10 10 10 10 10 9 9 9 9 9 9 8 9 9 10 11 12 12 10 9 7 7 8 10 11 12 13 13 13 12 10 9 8 9 10 11 12 12 11 11 11 10 9 9 9 9 9 10 10 10 10 10 10 11 12 12 11 11 11 12 13 13 14 13 11 10 10 9 9 9 10 10 10 10 11 12 12 13 12 12 11 11 12 13 13 14 13 13 14 14 14 13 10 5 0 -2 -3 -3 -2 -0 2 5 9 11 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 12 12 12 12 nan
nan 11 12 12 12 13 13 13 13 12 12 12 11 11 10 9 9 10 10 10 9 7 7 6 6 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 11 11 10 10 10 10 11 12 14 15 15 15 15 14 12 10 9 9 9 10 10 11 12 13 14 13 12 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 13 13 12 11 10 10 11 11 11 12 12 11 10 10 10 10 10 11 11 11 11 11 11 12 13 14 13 13 15 17 19 20 17 12 8 4 2 1 2 5 6 6 6 8 9 10 11 11 11 10 10 10 10 10 10 11 12 13 12 12 12 12 12 12 12 12 12 nan
nan 11 12 12 11 11 11 12 12 12 13 13 13 12 12 11 10 10 9 8 6 5 5 6 7 8 10 10 11 11 10 10 10 10 10 10 10 9 9 8 8 8 9 9 10 9 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 10 10 9 9 9 10 11 12 13 14 15 15 14 12 11 10 9 8 8 8 8 10 11 12 14 14 14 12 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 11 10 10 10 11 12 12 13 13 12 11 10 10 9 8 9 10 10 10 10 9 9 10 11 13 12 12 13 14 17 20 23 24 23 21 19 19 20 21 21 19 17 18 19 20 19 17 16 15 14 13 12 13 15 17 19 18 16 14 13 13 13 12 12 12 12 nan
nan 10 10 9 9 8 8 8 9 10 11 12 12 12 12 11 10 10 8 7 6 7 7 8 9 10 11 11 11 11 11 10 10 11 11 11 10 9 8 8 9 9 10 10 9 9 9 9 10 10 11 11 11 11 11 10 9 9 9 9 9 9 9 10 10 9 8 8 6 4 2 1 2 3 4 3 3 4 6 8 10 11 11 11 10 9 8 7 7 8 8 8 8 9 10 11 12 13 13 12 12 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 10 10 11 10 9 9 9 10 11 11 12 12 11 10 9 9 8 8 8 9 9 9 9 9 9 9 10 11 11 11 10 10 12 14 18 22 25 26 26 28 29 31 30 29 29 29 29 29 29 27 25 22 20 18 17 17 19 22 23 22 19 16 14 13 12 12 12 12 11 nan
nan 9 8 7 7 7 7 7 8 9 9 10 10 11 11 11 10 9 8 7 7 8 9 10 10 11 10 10 9 9 9 10 11 11 12 11 11 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 11 11 10 10 10 10 10 10 10 11 11 11 9 7 5 3 -0 -4 -7 -8 -7 -6 -6 -6 -5 -3 0 4 8 9 9 8 7 7 7 7 8 9 9 10 10 10 11 11 12 12 12 12 11 11 11 10 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 8 8 8 8 9 9 10 10 9 8 8 8 8 8 9 9 9 9 10 11 11 11 11 11 11 11 10 10 10 11 12 14 17 19 21 22 22 23 23 23 24 25 26 27 29 30 29 27 26 26 25 22 20 18 18 18 17 17 15 14 13 13 12 11 11 nan
nan 8 7 7 7 8 9 9 9 9 9 9 9 10 10 10 10 9 8 8 8 9 9 10 11 10 7 5 2 2 5 7 10 11 13 13 12 12 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 13 13 10 6 1 -2 -4 -7 -9 -10 -10 -7 -7 -7 -7 -6 -4 -0 3 6 7 6 6 7 7 8 8 9 10 10 10 10 10 11 11 11 12 11 11 11 10 10 10 10 10 10 11 11 10 10 10 10 10 9 9 9 9 8 8 7 7 7 8 8 8 8 9 8 8 8 8 8 9 9 9 9 9 10 11 12 12 13 13 12 12 12 11 11 10 10 10 10 11 12 13 14 13 12 13 14 14 15 17 18 19 21 23 25 27 28 28 26 21 17 15 17 19 21 21 19 17 14 13 11 11 nan
nan 7 7 8 9 10 10 10 9 8 8 8 8 9 9 10 10 9 9 9 10 10 11 12 11 7 2 -2 -4 -2 2 5 8 10 12 12 11 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 11 12 11 7 2 -3 -6 -7 -8 -7 -6 -2 -0 1 2 2 2 3 3 3 2 0 -0 1 3 5 7 8 9 9 8 8 8 8 9 10 11 11 11 10 10 9 9 9 9 9 9 10 10 9 9 9 9 9 9 8 8 7 7 6 6 7 7 8 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 11 11 12 13 14 14 14 13 12 11 11 10 10 10 10 10 11 11 11 10 10 10 10 11 11 11 11 13 15 18 20 21 22 24 23 21 19 19 21 21 21 19 17 14 12 11 10 nan
nan 7 7 9 11 11 10 9 8 8 8 8 8 8 8 8 8 8 9 10 11 12 13 11 7 1 -3 -5 -4 -0 3 5 8 10 10 8 8 9 10 11 12 12 11 11 10 9 9 9 9 9 9 10 11 12 13 14 13 13 11 10 10 11 10 7 3 -1 -3 -3 -2 -1 2 6 7 7 8 8 8 8 6 4 -0 -4 -5 -5 -3 -1 2 4 5 5 5 5 5 6 7 9 10 10 9 9 9 9 8 8 9 9 9 9 9 9 8 8 7 7 7 8 8 7 6 6 7 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 11 13 14 15 15 14 13 12 11 10 9 9 9 10 11 12 12 11 11 10 10 10 10 10 10 10 11 12 12 13 15 17 19 19 17 14 12 9 9 9 9 9 9 9 9 nan
nan 7 8 10 11 10 9 8 7 7 8 9 9 8 7 7 7 8 9 11 12 12 11 8 2 -3 -5 -3 1 5 7 8 10 10 9 7 8 9 10 11 10 10 10 10 10 9 9 9 9 9 9 10 12 14 15 16 15 13 11 10 10 11 11 11 10 8 8 9 9 10 12 12 11 10 9 9 9 8 7 5 2 -1 -2 -3 -4 -3 -2 -2 -1 1 2 4 6 7 7 7 8 8 7 8 8 8 8 9 10 10 10 10 9 8 7 6 5 5 6 7 8 8 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 8 9 11 12 13 15 16 15 15 14 12 10 9 9 9 10 12 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 12 8 4 0 -1 1 3 5 7 8 8 nan
nan 8 9 10 10 9 8 7 7 8 10 11 10 8 7 7 7 7 9 10 11 10 9 5 -0 -4 -3 -0 4 8 10 11 11 11 10 11 12 12 11 10 9 8 9 10 10 9 9 9 9 8 8 10 12 13 14 14 13 12 11 10 10 11 12 14 16 18 19 20 21 22 20 17 14 12 10 9 8 8 7 6 5 4 4 3 2 1 -1 -2 -2 -0 2 4 6 7 7 7 6 6 6 6 7 7 8 9 10 11 10 10 9 8 7 6 6 6 7 8 8 10 11 12 12 11 11 10 9 9 9 9 10 10 10 10 10 10 9 9 9 8 8 8 9 10 10 12 14 14 15 16 15 13 11 10 9 9 10 12 13 13 13 12 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 9 6 4 3 2 2 4 6 7 8 8 nan
nan 8 9 10 10 9 7 7 7 9 11 11 10 8 7 7 6 7 8 8 8 8 8 4 -2 -3 -1 2 6 9 11 11 11 11 12 14 15 14 12 10 9 9 10 11 10 9 9 10 10 9 9 9 10 10 11 10 10 10 10 11 11 11 11 12 15 18 20 21 20 19 18 17 17 16 14 12 9 7 6 6 6 7 7 8 7 6 5 4 4 4 3 2 1 1 3 4 5 6 6 6 6 6 8 9 10 9 9 9 8 8 8 9 10 11 11 10 10 11 12 12 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 7 7 7 8 8 9 9 11 12 13 15 15 14 11 10 10 8 9 10 11 13 14 13 11 10 9 9 9 9 9 10 10 10 10 9 9 9 7 6 6 5 5 6 6 6 7 7 8 8 9 nan
nan 9 9 10 9 8 7 7 8 10 11 10 9 8 7 7 7 7 7 8 8 9 7 3 -2 -2 -0 3 8 10 11 11 11 11 12 14 15 14 13 11 11 10 11 11 10 9 10 11 11 10 9 9 10 10 10 9 8 9 10 11 11 10 9 9 11 12 12 9 6 5 7 11 16 18 16 14 12 9 8 7 8 8 9 9 10 10 10 9 9 8 5 2 -1 -3 -1 1 2 4 6 6 6 6 6 7 7 8 8 9 9 9 10 11 12 12 12 11 10 10 10 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 7 7 6 6 6 7 7 8 9 10 11 12 14 14 12 10 9 8 7 8 9 11 12 13 11 10 9 9 8 8 9 9 9 10 10 10 9 8 5 3 2 2 3 4 5 7 7 8 8 8 9 9 nan
nan 8 9 9 9 8 7 7 9 10 10 10 9 8 8 7 7 8 8 9 9 9 6 2 -1 -1 1 5 9 10 11 11 11 11 11 13 15 16 15 14 13 11 11 9 9 9 11 12 11 10 10 11 12 12 11 9 9 9 10 10 10 9 9 9 9 8 5 -1 -5 -4 0 7 13 15 15 15 15 13 12 10 10 11 11 11 11 12 12 12 12 11 9 7 5 3 2 1 2 2 4 5 6 6 5 4 5 5 7 8 9 9 10 10 9 9 9 9 9 9 8 7 7 7 8 9 10 11 10 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 9 10 10 12 14 13 11 10 8 6 7 7 8 9 10 10 9 9 9 8 8 8 9 9 10 10 11 11 11 9 6 3 2 2 3 4 6 7 7 8 8 8 9 9 nan
nan 8 9 9 8 7 7 8 9 10 10 10 9 8 7 7 7 8 9 9 10 9 6 2 1 1 3 6 9 10 11 11 10 10 11 13 15 16 16 15 12 11 10 9 9 11 12 12 10 10 10 11 12 12 10 10 10 10 11 10 10 9 8 9 9 7 4 0 -0 3 7 12 13 12 13 14 16 16 16 16 16 15 15 15 16 16 16 17 17 16 15 13 11 10 8 6 4 2 2 3 5 6 5 5 4 4 5 6 7 8 8 7 7 8 9 10 9 8 7 7 7 7 6 7 8 9 10 10 10 11 11 11 10 10 10 11 11 11 11 10 9 8 8 8 9 12 14 13 11 9 6 6 6 6 6 7 9 8 9 9 8 8 8 8 9 10 10 11 12 12 13 13 13 12 11 10 9 8 8 8 8 8 9 9 9 10 nan
nan 8 9 9 9 8 7 8 10 11 11 10 9 8 7 7 7 8 9 9 10 9 7 4 3 3 4 7 8 9 10 10 10 11 11 12 14 16 16 13 11 10 10 10 11 12 11 10 8 8 10 11 12 11 11 11 11 11 11 10 9 8 8 8 8 8 7 9 13 16 19 19 16 13 12 13 14 15 18 20 21 21 21 22 22 22 23 24 24 22 19 16 14 13 12 10 8 6 5 3 3 4 6 7 7 6 6 6 7 7 8 8 9 11 12 12 11 9 9 8 8 8 7 7 8 8 9 11 12 14 14 13 11 11 11 12 12 12 12 11 9 7 7 6 8 10 11 10 8 6 4 5 5 5 6 8 9 9 10 10 9 8 8 8 9 10 11 11 12 12 13 16 18 20 19 17 14 12 10 9 9 9 9 10 10 10 nan
nan 8 9 9 9 8 9 10 11 11 11 11 9 8 8 8 8 9 9 9 9 9 8 6 4 4 4 6 7 8 9 10 10 10 10 11 12 15 15 14 13 13 13 12 12 10 9 8 9 10 12 12 11 11 12 11 11 10 9 9 8 8 8 8 8 9 11 14 18 20 20 17 14 12 11 11 12 14 16 19 21 22 23 23 23 23 24 24 23 21 19 18 17 17 16 16 15 14 12 9 7 6 8 9 10 10 10 9 9 9 9 10 11 12 12 11 11 10 9 9 9 9 9 10 10 10 10 12 13 14 14 13 13 12 11 11 11 10 10 9 8 7 6 6 8 8 8 7 5 3 3 4 5 5 7 9 10 11 13 12 11 10 9 9 10 11 11 12 12 11 12 14 17 19 19 17 14 12 11 10 10 10 10 11 11 11 nan
nan 9 9 9 9 9 9 11 11 11 11 10 9 8 8 8 9 9 9 9 9 9 8 6 4 3 3 5 6 8 9 10 10 10 10 10 12 16 18 18 18 17 15 13 11 10 10 12 13 14 14 12 11 11 11 10 9 9 9 9 8 8 8 8 8 9 10 12 13 13 12 10 10 9 10 10 10 11 12 13 14 15 15 16 16 16 16 16 15 16 18 20 21 21 22 23 24 23 21 20 18 17 17 15 14 13 12 11 11 10 10 10 10 10 9 8 8 8 9 10 10 11 12 12 12 11 11 11 10 11 12 13 13 13 12 11 10 9 8 7 7 7 7 8 8 8 8 7 5 4 5 6 6 7 9 10 11 13 14 13 12 11 10 11 12 12 12 12 12 11 12 12 13 13 13 12 11 11 10 10 10 11 11 11 11 11 nan
nan 9 9 8 8 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 8 6 4 3 3 4 6 7 9 9 9 10 10 10 14 19 22 23 21 17 13 11 10 11 12 14 15 15 14 13 11 10 9 9 10 10 10 9 9 8 8 8 8 8 9 9 8 7 6 5 4 5 7 8 9 9 8 8 8 8 9 9 9 10 10 10 11 12 15 17 18 20 22 24 25 26 26 27 27 26 23 20 16 14 13 12 12 12 11 11 10 9 8 8 8 9 10 11 12 13 14 14 14 13 12 11 10 10 11 12 12 12 11 11 9 8 7 8 9 9 9 9 9 10 11 11 10 10 9 9 8 9 9 10 12 14 14 14 13 11 11 11 12 12 12 12 12 11 11 12 12 12 12 11 10 10 10 10 10 11 11 11 11 12 nan
nan 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 8 6 4 2 2 3 5 7 8 9 9 9 10 12 17 22 24 24 19 13 10 9 9 10 12 13 13 13 12 12 11 10 10 11 11 12 11 9 9 8 8 8 8 8 9 9 8 7 3 -1 -2 -1 2 5 6 6 6 6 7 7 8 8 9 10 10 10 11 11 11 11 13 15 17 18 19 20 21 22 23 22 20 17 15 14 13 13 12 12 13 13 12 11 10 10 11 12 13 14 15 16 16 16 15 16 15 15 14 13 12 11 11 11 11 10 9 9 10 11 12 12 12 12 12 13 14 14 14 14 13 11 10 9 9 10 12 14 14 14 13 11 10 10 11 12 12 11 11 11 11 11 12 15 17 16 14 12 11 11 11 11 11 11 11 12 nan
nan 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 10 10 9 9 8 6 4 2 1 1 3 5 6 8 8 9 9 10 14 20 24 25 21 14 9 8 8 9 11 11 11 12 12 12 11 11 10 11 12 12 11 9 8 8 8 8 8 9 9 9 9 9 7 1 -3 -5 -5 -2 1 3 5 7 8 8 9 9 10 10 10 11 11 11 11 10 10 11 12 13 12 11 10 9 10 11 11 11 11 11 11 11 12 12 12 12 12 11 9 8 8 9 11 13 13 14 15 15 15 16 16 16 16 16 15 14 12 12 11 11 11 11 11 12 13 13 14 14 14 14 14 14 15 16 15 14 12 10 9 9 10 12 13 13 13 11 10 10 10 11 12 11 11 11 10 10 10 13 16 19 20 18 15 12 11 11 11 11 11 11 12 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 7 5 3 2 1 2 3 4 6 7 8 8 9 12 18 24 25 23 18 12 9 8 9 11 11 12 12 12 12 12 11 11 11 11 11 10 9 8 8 9 9 9 9 10 10 9 9 9 5 1 -3 -4 -5 -3 -1 2 6 9 10 10 10 10 10 10 10 11 11 11 10 10 10 11 11 10 8 4 0 -2 -1 0 2 3 4 5 5 6 7 9 9 7 5 3 1 -0 1 3 4 5 6 8 9 10 12 13 14 13 13 13 13 13 13 13 12 13 13 13 13 13 12 12 12 12 12 12 12 13 15 16 16 13 11 10 9 9 10 11 12 13 12 11 11 11 11 12 12 11 11 10 10 10 10 11 14 18 20 20 18 15 13 12 11 11 11 12 12 nan
nan 10 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 10 9 8 7 6 4 3 2 3 4 5 7 8 8 10 15 21 25 23 18 13 11 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 8 3 0 -2 -3 -3 -0 2 5 9 11 11 11 10 10 10 10 10 11 11 11 10 10 10 11 11 10 7 4 2 1 -0 -0 0 0 -0 -1 -1 0 1 2 1 -1 -2 -3 -3 -2 -1 0 -0 -1 -0 2 4 5 6 7 8 9 10 11 11 11 12 12 12 13 13 12 12 11 10 10 10 10 10 10 10 12 14 15 15 13 12 10 9 9 9 10 11 12 11 11 11 11 12 12 11 11 10 10 10 9 9 9 11 15 19 21 20 17 15 13 12 12 12 12 12 nan
nan 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 9 9 8 7 6 4 3 3 3 4 6 7 9 11 17 22 22 18 13 11 10 10 10 11 11 11 10 10 10 11 10 10 10 10 10 10 10 10 10 9 8 8 9 9 10 10 10 9 6 2 -1 -2 -2 1 3 6 8 11 12 12 11 11 11 10 10 10 10 11 11 11 11 11 13 14 14 15 15 15 14 11 8 6 5 3 2 2 2 2 1 0 -0 0 2 4 6 7 6 5 3 1 2 2 2 2 2 4 7 10 11 11 10 11 11 11 11 11 10 10 10 10 10 9 9 9 9 10 11 12 13 13 13 11 10 9 9 9 10 11 11 12 12 11 11 11 11 10 10 9 9 9 9 9 9 10 13 17 20 21 19 16 14 13 12 12 11 12 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 8 6 5 4 3 2 3 4 6 7 9 12 18 22 19 15 12 10 10 9 9 10 11 11 11 10 10 11 10 10 10 10 11 11 11 9 6 3 3 4 6 8 9 9 9 8 5 1 -1 -2 -0 3 5 7 10 14 15 14 13 12 11 10 10 10 11 11 12 12 13 14 15 17 20 22 23 22 21 18 16 14 12 11 10 11 11 10 9 8 9 10 10 11 11 10 9 9 7 6 5 4 3 3 4 8 12 13 12 10 10 10 10 10 9 9 10 10 10 10 10 10 9 9 10 10 10 11 11 12 12 11 11 10 10 10 10 11 12 12 12 11 11 10 9 9 9 9 10 10 10 10 10 10 11 14 18 20 21 18 15 13 12 12 12 13 nan
nan 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 5 4 3 3 3 4 5 7 9 12 17 19 17 15 13 10 9 9 10 11 12 12 11 11 11 11 10 10 10 11 12 11 9 5 -1 -5 -5 -3 2 6 8 9 9 7 4 0 -2 -2 1 3 5 7 12 17 18 16 14 12 11 10 11 11 12 13 13 14 15 16 17 18 19 20 20 20 20 19 18 17 16 16 15 16 17 16 15 14 13 13 12 11 10 9 9 10 11 10 9 8 8 9 12 16 17 15 12 10 9 8 8 8 9 10 11 11 11 11 11 10 10 10 10 10 10 10 11 12 12 13 12 11 11 11 11 12 12 11 11 10 9 9 8 8 8 9 10 10 10 11 11 11 12 12 15 19 21 20 17 15 15 14 14 15 nan
nan 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 8 8 8 7 6 5 4 3 3 3 4 5 7 9 12 16 17 16 15 13 10 9 10 11 12 12 12 11 11 11 11 11 11 11 11 12 11 9 4 -1 -4 -5 -3 2 7 8 8 8 6 2 -1 -3 -1 1 3 5 8 14 18 18 16 13 12 11 11 12 12 13 14 15 16 17 17 17 17 16 14 13 14 15 17 18 18 19 19 19 20 19 18 16 15 13 12 11 12 12 14 16 17 16 13 12 12 12 15 17 18 18 15 11 10 9 7 8 9 10 11 11 11 11 11 11 11 11 10 10 10 10 10 11 13 15 16 14 12 11 10 11 10 10 9 8 8 8 8 8 7 7 8 9 10 11 12 13 13 12 12 13 16 20 22 21 21 20 19 19 18 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 7 6 5 4 4 4 4 4 6 7 9 11 14 15 17 16 13 10 10 10 11 11 11 10 9 8 9 10 11 12 11 10 10 11 11 8 6 5 4 4 6 6 5 4 3 -0 -3 -5 -4 -0 2 4 5 9 14 16 16 15 12 11 12 12 13 14 14 16 17 17 17 17 16 15 12 10 9 10 12 14 16 18 19 20 21 21 19 18 16 16 15 15 16 18 21 23 24 23 19 15 13 13 14 16 17 18 18 16 14 12 10 9 10 11 11 11 11 11 11 11 11 11 10 10 9 9 10 11 12 15 17 17 14 12 10 9 9 8 7 6 6 7 8 8 8 7 7 8 10 11 13 14 15 15 13 12 12 13 18 21 24 24 23 23 24 23 nan
nan 9 9 9 8 8 9 9 9 9 9 10 10 10 10 9 9 9 9 9 8 8 8 7 6 6 5 5 4 5 6 8 9 11 13 15 17 16 12 11 10 10 10 10 9 7 6 6 7 9 10 10 9 8 8 9 10 10 12 12 10 9 8 5 1 -1 -4 -8 -8 -6 -2 2 4 5 6 9 13 15 15 14 12 12 12 13 14 14 15 16 17 17 16 15 14 12 10 9 9 10 12 13 14 14 14 15 15 15 14 14 15 16 17 19 22 25 25 26 25 22 16 13 12 13 14 16 20 23 23 21 18 14 11 11 11 12 11 11 11 10 10 10 10 10 10 10 9 9 10 11 12 15 16 14 12 10 8 7 7 6 5 6 6 7 8 8 8 8 9 9 10 12 14 15 15 15 14 13 12 12 15 17 19 19 21 22 24 25 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
29 29 31 32 31 27 23 26 16 7 4 2 1 0 1 3 12 18 15 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 2 2 2 2 2 3 3 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 1 1 1 2 1 2 2 3 4 4 5 9 13 14 14 18 24 26 25 24 23 24 25 23 25 25 25 25 25 26 24 22 26 31 34 36 37 39 39 40 39 38 39 40 43 46 48 53 57 57 56 54 54 56 62 68 69 68 68 67 63 60 62 70 82 86 85 89 100 112 123 140 191 272 402 458 454 456 488 578 581 446 309 259 239 241 249 286 344 347 305 242 187 153 131 125 122 122 120
27 30 33 33 30 27 23 20 11 4 1 0 0 0 2 7 22 26 15 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 2 2 3 3 3 2 2 2 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 2 3 3 3 6 8 9 13 16 21 25 25 23 22 22 22 19 21 22 22 22 22 26 23 21 23 26 29 34 36 38 38 37 35 34 33 33 36 40 44 49 54 57 59 58 58 62 66 72 71 72 72 71 68 61 58 60 66 69 68 70 80 90 98 109 135 171 244 336 416 468 580 620 508 462 472 445 430 384 274 221 242 297 323 301 253 200 148 130 125 124 125
28 31 35 33 27 24 23 13 5 1 0 0 0 0 3 12 19 15 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 2 2 3 4 3 2 1 1 1 1 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 2 2 2 3 4 11 12 15 19 23 23 19 19 17 16 16 16 16 18 19 18 21 22 21 21 22 26 31 35 37 38 37 34 32 31 31 34 36 39 42 46 51 54 57 58 60 62 66 68 71 72 74 74 68 64 62 63 63 61 59 61 66 75 84 92 103 130 166 207 267 407 464 564 632 595 570 575 397 267 199 222 299 344 359 320 250 185 154 138 131 129
27 29 32 31 23 19 16 7 2 0 0 0 0 1 8 8 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 3 2 2 2 2 2 3 4 3 1 1 0 0 0 1 2 2 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 0 0 0 1 1 0 0 0 0 0 0 2 1 4 7 10 14 20 21 12 11 9 8 8 9 10 11 14 15 17 18 19 20 21 23 28 32 35 36 36 33 32 33 35 37 38 40 41 41 43 46 50 51 53 54 58 62 65 68 70 72 71 68 65 64 64 62 58 57 56 59 66 71 73 80 94 118 142 202 279 317 299 352 463 417 414 435 476 499 450 415 402 338 289 235 188 154 141 139
22 23 26 24 16 11 7 2 0 0 0 0 0 0 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 5 3 1 1 2 3 3 2 3 2 1 1 0 0 0 0 1 1 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 1 0 0 0 0 0 0 1 1 1 1 1 3 7 13 9 3 3 4 2 1 3 5 6 8 10 12 13 15 19 20 21 23 26 30 32 31 31 33 35 38 39 39 40 39 39 40 40 41 44 47 50 52 54 58 60 63 65 65 64 63 64 64 64 62 60 59 59 60 62 62 69 76 80 92 115 147 179 218 285 336 398 485 613 704 663 505 438 447 449 441 389 283 181 156 154
16 16 17 16 11 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 4 3 3 3 3 3 2 2 2 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 1 0 1 1 1 0 1 2 3 5 5 7 10 12 14 16 17 20 21 22 25 27 28 30 32 33 34 35 36 36 36 37 37 37 39 41 42 44 46 48 51 54 57 59 59 59 59 60 61 62 62 62 63 63 63 61 62 64 68 74 81 95 118 132 145 177 226 357 534 589 505 471 544 697 797 780 641 417 252 204 181
12 14 13 8 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 1 4 6 5 4 5 3 2 2 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 3 4 5 6 7 8 10 11 13 14 16 18 19 19 22 23 24 26 28 29 30 31 33 34 35 36 37 37 37 38 39 41 44 47 51 53 54 54 55 56 58 59 60 61 63 64 65 63 60 60 63 68 72 82 94 111 130 156 214 299 337 369 453 662 816 818 744 708 502 360 269 218
10 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 3 2 1 0 0 0 0 1 2 2 0 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 1 1 2 2 3 4 4 5 6 7 9 11 14 15 15 15 16 17 18 20 21 22 24 26 28 29 30 31 32 33 34 34 35 36 38 39 43 46 48 50 51 52 52 52 55 56 59 64 64 59 56 58 62 67 70 78 94 112 129 150 174 229 311 456 556 594 640 599 584 517 428 336 276
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