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 9 9 8 8 7 8 8 9 10 10 10 10 10 10 11 11 10 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 9 8 7 7 8 9 9 8 7 6 6 7 8 8 7 5 5 5 5 5 6 7 7 7 7 7 7 6 6 7 8 8 8 8 7 6 6 6 6 7 8 9 11 12 12 11 10 11 11 11 10 10 12 13 11 10 9 9 9 10 10 8 7 6 7 7 8 8 8 8 7 6 5 5 6 7 7 7 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 6 6 6 7 8 8 7 7 6 7 7 8 9 10 11 10 10 9 9 9 10 11 12 12 12 12 12 12 12 12 12 11 9 5 1 -0 1 3 5 6 7 8 8 7 7 7 8 8 7 6 5 6 6 7 7 7 nan
nan 8 8 8 7 7 7 8 9 9 10 10 10 9 10 10 10 9 8 7 7 7 8 9 9 9 8 8 9 10 10 9 9 9 8 7 7 7 8 8 8 8 7 7 7 7 8 7 6 6 6 6 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 7 8 9 9 9 8 8 9 11 12 11 10 11 11 11 9 9 10 9 9 10 10 9 7 7 8 9 8 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 9 9 8 8 8 7 7 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 7 7 7 7 8 9 10 10 10 9 8 8 9 10 11 11 11 11 11 12 12 12 13 12 10 8 3 0 -0 2 4 6 7 7 8 7 7 7 8 8 8 7 5 5 6 7 8 8 7 nan
nan 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 8 8 9 9 10 9 9 8 8 8 8 7 7 7 8 8 7 7 7 8 7 7 7 7 6 7 7 9 10 11 10 10 10 11 11 10 9 9 8 8 8 8 8 8 8 8 9 9 9 8 7 6 6 7 8 9 9 9 8 9 9 8 8 9 9 9 9 10 10 9 7 8 9 9 9 10 10 9 8 7 8 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 9 9 8 8 7 7 7 7 7 6 6 7 7 7 9 10 10 10 9 8 8 9 10 10 10 10 10 10 12 13 13 13 12 9 6 1 -1 0 2 5 7 8 8 8 7 7 7 8 9 8 6 5 5 6 7 8 7 7 nan
nan 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 8 9 9 9 9 9 9 8 6 7 8 9 8 7 7 7 7 6 7 9 10 8 6 6 7 8 8 9 10 11 11 10 11 12 13 13 12 11 9 9 8 8 8 8 9 10 11 11 10 9 8 7 7 8 9 9 8 7 6 6 7 8 9 9 10 9 10 10 11 9 8 7 7 8 9 10 10 9 8 8 8 8 9 8 8 8 8 9 8 8 7 6 6 6 6 6 6 7 7 7 7 7 8 9 9 10 9 9 8 8 7 7 6 6 6 6 6 6 8 9 10 9 9 9 9 9 10 10 9 9 9 10 12 13 14 13 11 7 2 -1 -1 1 4 6 8 8 8 7 7 7 7 8 8 7 6 5 6 6 7 8 7 7 nan
nan 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 9 8 7 7 7 8 9 9 9 9 8 8 7 5 6 9 10 9 8 7 6 6 5 7 10 11 9 7 6 8 10 11 11 11 11 11 12 13 14 14 14 13 12 11 10 9 8 8 9 10 12 12 11 10 9 9 9 10 11 10 10 9 8 7 7 8 9 10 10 10 10 11 11 10 8 7 6 7 8 10 10 10 9 8 8 9 9 8 8 8 8 8 8 8 7 6 5 4 4 4 5 6 6 6 7 7 7 7 8 9 9 10 10 9 9 8 7 7 6 6 6 6 6 7 8 9 9 9 10 10 10 10 10 9 9 9 10 11 12 13 12 9 3 -0 -1 0 3 6 8 8 8 7 7 6 7 7 8 7 6 6 6 6 6 7 7 8 8 nan
nan 11 11 10 10 9 10 10 11 10 9 9 9 9 9 9 9 9 10 9 9 8 7 7 8 9 9 9 8 8 8 7 6 8 11 11 10 8 7 6 6 6 8 10 10 8 7 8 11 13 13 12 11 11 13 14 15 14 14 13 12 12 12 12 11 10 9 10 11 11 11 10 9 9 9 10 11 10 9 8 7 8 9 11 11 11 11 11 11 11 12 11 9 8 7 7 8 10 11 11 10 9 8 8 8 8 8 8 9 9 8 8 7 7 6 6 5 4 4 5 6 6 6 6 6 6 7 7 8 8 9 9 10 9 9 8 7 7 6 6 6 6 6 7 8 9 9 10 11 11 10 10 9 9 9 10 10 10 11 9 5 1 -1 -1 2 6 8 10 10 9 7 6 5 6 7 7 7 7 7 7 6 6 6 8 8 8 nan
nan 11 11 11 10 10 10 11 11 10 9 9 9 9 9 8 8 9 9 10 9 9 8 7 7 8 9 8 8 7 7 7 8 9 11 11 9 8 7 7 8 8 8 8 8 8 9 12 14 14 13 11 11 11 13 13 12 11 11 11 11 11 12 11 10 9 9 9 8 8 7 7 8 9 10 10 10 8 6 5 5 7 10 11 12 12 12 12 12 12 11 10 9 8 8 8 9 11 12 11 10 9 8 8 7 7 8 10 10 10 9 8 8 8 7 7 7 6 6 6 5 5 6 6 6 6 6 7 7 8 8 9 9 10 10 9 8 8 8 7 7 6 6 6 7 9 9 10 10 10 10 10 10 10 9 10 9 9 9 7 4 1 1 2 6 9 11 12 11 9 8 7 6 6 7 7 8 8 7 6 5 6 7 9 9 9 nan
nan 11 11 11 11 11 11 11 10 9 9 8 9 9 9 8 7 8 9 10 10 9 8 7 7 7 8 8 7 7 8 8 9 9 10 9 9 8 8 8 9 9 8 6 7 9 13 16 15 12 10 9 8 8 8 8 7 7 8 8 8 8 7 6 6 6 6 6 4 3 3 5 8 10 10 10 8 6 5 5 5 6 8 9 11 12 13 13 12 11 10 9 8 8 8 9 11 12 12 10 9 9 8 8 8 9 10 11 11 10 8 8 8 8 8 8 8 7 7 6 5 5 6 6 6 6 6 7 7 7 8 8 9 10 10 9 8 8 8 8 8 7 6 6 7 8 9 9 9 9 10 10 10 10 10 10 9 9 8 6 4 3 4 7 10 12 12 12 11 10 9 8 8 8 8 9 8 7 6 5 5 6 8 9 9 8 nan
nan 11 11 11 11 11 11 11 10 9 9 9 9 10 10 8 7 7 8 9 10 9 8 7 7 7 7 7 7 7 8 9 10 9 9 8 8 8 8 8 8 8 7 7 8 11 15 16 12 8 6 5 4 4 4 4 3 4 5 5 4 3 2 1 2 3 4 4 3 2 4 6 9 11 10 9 7 5 5 6 6 7 8 9 10 11 11 11 10 10 9 9 8 8 9 10 11 12 11 9 9 9 9 9 10 11 11 10 9 8 7 7 7 7 8 8 8 8 7 6 6 6 6 6 6 6 6 6 7 7 7 7 8 9 10 9 8 8 8 9 8 8 6 6 6 7 8 8 8 9 9 9 9 10 10 10 9 8 7 6 5 5 7 10 12 12 11 10 9 9 10 10 10 10 10 9 8 6 5 5 6 8 8 8 7 6 nan
nan 11 11 11 11 11 11 11 11 10 10 10 10 11 11 9 8 7 8 9 10 9 8 8 7 6 6 7 8 8 9 10 10 9 8 8 9 8 8 8 8 8 8 8 10 13 14 12 9 6 4 3 4 5 6 6 5 4 3 3 2 1 1 1 2 4 6 6 5 5 6 8 10 11 10 7 5 5 6 7 8 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 11 10 10 9 9 9 9 9 10 10 9 8 8 7 7 6 6 7 7 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 8 9 8 8 8 9 9 8 7 6 6 7 7 7 7 8 8 9 9 9 10 9 9 8 7 6 6 6 9 11 12 11 9 8 8 10 11 11 11 11 10 9 7 6 5 6 7 7 6 5 4 5 nan
nan 11 11 11 11 11 11 11 11 11 10 10 11 11 11 9 8 7 8 9 10 10 9 9 9 7 6 7 8 10 10 10 10 9 8 8 9 9 8 8 8 9 9 9 10 11 12 10 7 5 4 4 6 8 10 10 7 5 4 4 3 3 3 4 5 7 8 8 8 7 8 10 11 11 8 6 5 6 7 8 8 9 9 8 8 9 10 10 10 10 9 9 9 9 9 10 10 10 9 8 8 8 8 9 9 8 8 7 7 7 7 6 6 6 7 8 9 9 9 8 8 8 7 7 7 7 6 6 7 7 7 6 6 6 7 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 6 6 7 9 11 11 9 8 8 9 11 12 12 12 11 10 8 7 6 6 7 8 7 5 4 4 5 nan
nan 11 11 11 11 11 11 12 12 11 11 11 11 10 10 9 8 8 7 8 9 9 10 10 10 9 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 9 10 11 10 7 4 3 4 6 8 10 10 8 7 6 5 6 6 6 6 7 8 8 8 8 8 9 11 12 10 7 6 6 7 8 8 8 8 7 6 7 8 9 10 10 9 9 9 9 9 9 10 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 7 7 8 8 9 10 10 10 9 9 8 7 6 6 6 6 7 7 7 7 7 6 6 6 7 8 9 9 9 8 8 8 8 8 8 8 7 6 6 7 7 7 8 7 7 6 6 6 6 6 7 9 9 9 9 8 9 10 11 12 12 12 11 10 9 8 7 7 8 8 7 6 6 6 6 nan
nan 11 11 11 11 11 12 12 12 13 12 11 11 10 10 9 8 7 7 7 8 9 10 11 11 11 10 9 9 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 9 10 11 10 6 2 2 4 5 6 8 9 9 8 7 7 7 9 10 8 8 7 8 8 9 10 11 12 11 8 5 6 7 8 8 8 9 9 8 6 6 6 7 9 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 8 7 6 5 6 6 6 7 7 8 8 7 7 6 6 7 8 9 9 8 8 9 9 9 9 9 8 8 7 6 6 6 7 7 7 6 5 5 4 4 4 5 6 6 7 8 8 8 9 10 10 11 11 11 10 10 9 9 9 9 8 8 7 8 9 9 nan
nan 11 11 11 11 11 11 12 13 14 13 12 11 11 10 9 8 7 7 7 7 8 10 11 11 11 10 10 10 10 10 9 9 10 10 9 8 8 9 8 7 7 8 9 10 10 10 9 5 2 2 4 5 7 8 10 11 10 8 7 7 9 9 8 7 7 8 10 12 13 13 11 8 5 5 6 8 9 9 10 11 11 9 6 5 4 6 8 10 11 10 9 9 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 9 9 9 9 8 7 6 6 6 6 6 7 7 7 8 8 8 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 6 6 5 4 3 3 3 4 6 7 7 7 8 9 9 9 9 9 10 10 10 10 10 9 9 8 8 9 10 11 nan
nan 11 10 10 10 10 10 12 13 14 14 13 12 11 11 11 9 7 7 7 7 8 9 10 11 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 7 8 9 10 10 10 9 8 5 2 2 4 6 8 10 12 12 11 7 5 4 4 5 5 6 8 11 13 13 10 8 5 4 4 6 8 9 9 11 13 13 12 8 6 5 5 7 9 11 11 10 9 8 8 8 7 8 8 9 8 8 7 7 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 7 7 7 7 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 8 8 7 8 8 8 9 9 9 9 8 8 7 6 4 4 4 6 6 6 7 7 7 6 6 7 8 8 9 9 10 10 9 8 8 9 10 10 11 nan
nan 12 11 10 10 9 10 11 13 14 14 13 13 12 12 12 10 9 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 9 10 10 9 8 7 7 5 3 3 4 6 8 11 13 12 7 4 2 2 2 3 5 8 11 12 12 8 4 1 1 2 4 7 8 9 11 12 13 12 9 7 7 8 9 9 10 10 10 9 8 8 8 7 7 8 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 7 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 10 9 9 8 8 7 7 6 6 6 6 5 5 6 7 7 8 8 8 8 8 8 8 9 10 10 10 nan
nan 14 12 11 10 10 11 12 13 14 14 14 14 13 14 14 12 11 9 9 9 8 8 8 9 9 9 9 9 10 10 10 10 10 10 9 8 8 8 8 9 10 10 9 8 7 6 6 5 5 4 5 6 9 13 14 9 3 1 1 3 4 5 8 11 12 11 8 4 2 1 2 4 6 7 8 9 11 11 10 8 7 8 9 11 11 10 9 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 11 11 11 11 11 10 9 8 6 5 5 4 4 5 5 6 6 7 7 7 7 7 8 9 9 10 9 9 nan
nan 14 13 12 12 12 13 13 14 14 15 15 15 15 15 15 14 12 11 9 9 8 8 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 8 7 6 5 5 6 7 7 7 8 10 14 12 5 1 1 3 6 7 7 9 11 11 9 6 5 5 5 6 7 8 8 9 9 10 9 8 7 6 7 8 9 9 8 7 6 6 7 8 8 9 9 9 10 9 9 8 8 8 8 8 7 7 7 7 8 8 7 7 7 6 7 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 11 11 12 12 11 10 8 6 4 3 3 4 5 5 5 5 5 5 6 6 7 8 9 9 9 9 8 nan
nan 14 13 13 13 14 14 14 14 15 16 16 17 17 16 16 15 13 11 9 9 8 9 9 10 10 10 11 11 10 10 10 10 10 10 9 9 8 8 8 9 9 8 7 6 5 4 5 6 8 8 8 9 11 13 10 5 3 4 7 10 12 12 12 11 9 8 8 7 7 7 8 9 9 9 9 9 9 9 9 7 5 5 5 5 5 5 4 5 5 6 7 8 9 9 10 10 9 8 8 8 8 8 7 7 7 7 8 8 8 8 7 7 7 8 9 10 10 9 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 8 8 8 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 11 11 11 11 10 9 7 5 4 4 5 5 5 4 3 3 4 5 7 7 8 9 8 8 8 8 nan
nan 13 13 14 14 14 14 14 15 16 17 18 18 18 17 16 15 14 11 9 8 9 9 10 10 10 11 11 11 10 10 9 9 10 10 9 8 8 8 8 8 8 7 7 6 5 5 5 6 7 8 9 10 11 12 10 8 7 8 11 14 16 14 12 11 9 9 8 7 6 7 8 9 9 8 8 8 9 9 8 6 4 5 5 4 4 4 5 6 7 7 7 7 7 8 8 8 8 7 7 7 7 7 6 6 7 8 8 8 8 8 7 7 7 9 10 10 9 9 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 5 3 2 2 4 6 7 8 8 8 7 7 7 7 nan
nan 12 13 13 13 13 13 14 15 17 19 19 19 18 17 16 15 14 12 10 9 9 10 11 11 10 10 10 10 10 9 9 9 10 10 9 8 8 8 8 8 8 7 7 6 6 5 5 6 7 8 9 9 10 10 10 11 11 13 14 16 15 13 10 9 8 7 7 7 6 7 9 9 8 7 7 9 9 9 7 5 5 6 6 6 6 6 7 8 8 8 7 6 5 5 6 6 6 6 6 6 6 6 7 8 9 9 9 8 8 7 7 6 7 9 9 9 8 8 7 7 7 6 6 6 7 7 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 9 9 9 9 8 8 8 8 9 10 10 11 11 10 7 5 5 6 7 8 8 7 7 7 7 7 7 7 nan
nan 10 11 11 12 12 13 14 16 18 19 20 19 18 16 15 15 14 12 10 9 9 10 11 11 10 10 10 9 9 9 9 9 10 10 10 8 8 8 8 8 8 7 7 7 6 6 6 7 8 8 9 9 9 9 9 11 14 15 15 14 13 11 9 7 6 6 7 8 9 10 10 9 8 7 9 10 10 8 6 5 5 6 6 7 7 8 8 9 9 8 7 6 5 4 5 5 6 6 6 6 7 7 8 9 10 9 8 8 8 7 7 7 8 9 9 8 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 10 10 10 9 9 9 9 10 11 9 7 6 6 7 7 7 7 7 nan
nan 10 10 11 11 12 13 14 16 17 19 19 18 16 14 14 14 13 11 10 10 10 10 11 11 11 10 9 9 9 9 8 9 9 10 10 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 9 11 14 15 14 13 12 11 9 8 7 8 9 10 11 11 11 9 8 8 10 11 9 7 5 5 5 6 6 7 7 8 9 9 9 8 7 7 6 6 6 6 6 6 7 7 7 8 8 9 9 8 8 8 7 7 7 8 10 10 8 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 7 8 8 8 8 8 7 7 7 7 7 7 7 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 8 8 9 9 10 10 10 8 6 7 8 9 9 8 8 7 nan
nan 9 10 10 11 12 13 14 15 16 17 17 16 14 13 12 12 11 11 10 10 10 10 11 11 11 10 9 9 9 9 8 9 9 10 10 8 8 8 8 8 7 7 7 6 6 7 7 8 9 9 9 9 9 9 9 11 14 14 13 12 12 11 9 8 9 9 10 10 10 9 8 7 7 8 9 8 7 5 3 4 5 6 7 7 8 9 9 9 8 7 7 7 7 7 6 6 7 7 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 9 8 8 8 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 9 11 11 10 8 7 7 nan
nan 9 9 10 11 12 13 14 15 15 15 14 14 13 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 8 8 8 8 8 7 7 7 6 7 7 7 8 8 8 8 8 9 9 10 11 12 12 12 12 11 9 9 9 10 10 9 8 7 6 5 4 6 7 6 4 3 2 2 4 6 7 7 8 9 9 9 8 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 7 7 6 6 6 6 7 7 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 9 9 8 8 8 8 8 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 7 7 7 7 8 10 10 10 9 8 8 8 nan
nan 9 9 10 11 12 13 13 14 14 14 13 12 11 10 9 8 9 10 10 10 10 9 9 9 10 10 9 9 9 10 10 10 10 10 9 8 8 8 8 8 8 7 7 7 7 8 8 8 7 6 6 7 8 10 11 11 11 11 11 11 8 7 8 10 11 10 7 5 3 3 3 4 6 5 2 1 1 2 3 5 7 8 8 8 9 8 8 7 7 7 7 7 7 6 7 9 10 10 9 8 7 6 6 7 6 6 5 5 5 6 7 7 8 8 8 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 9 9 8 8 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 nan
nan 9 10 11 12 13 13 13 13 13 13 12 11 10 9 8 7 8 10 10 10 9 8 8 9 9 10 10 9 9 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 5 7 9 11 12 12 11 10 11 10 7 7 10 12 11 8 5 2 0 1 3 5 5 3 0 -0 2 4 6 7 8 9 8 8 8 8 8 7 7 7 7 7 6 6 8 9 10 10 8 7 5 5 5 6 6 6 6 6 6 7 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 8 8 8 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 nan
nan 11 11 12 13 14 13 13 13 13 13 13 12 11 9 8 7 8 10 10 10 9 8 8 9 9 10 10 10 10 10 10 11 11 10 9 9 9 9 9 8 8 9 10 10 9 8 8 7 7 7 7 8 10 11 12 11 10 10 11 10 8 9 11 12 10 6 3 1 -0 2 5 7 6 2 0 2 5 7 8 8 9 9 8 7 7 8 8 8 8 8 7 6 6 7 8 10 10 10 8 7 6 7 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 8 8 8 8 nan
nan 12 12 13 14 14 14 13 13 13 13 13 13 11 10 8 7 8 10 10 10 9 9 8 9 9 10 11 11 10 10 10 11 11 11 10 10 10 10 9 8 8 10 10 10 9 8 7 8 8 8 8 9 11 12 12 11 10 11 11 11 11 10 9 7 5 3 2 2 2 5 9 10 7 2 2 5 7 8 8 9 9 9 7 7 8 9 9 9 8 8 7 6 7 8 9 11 11 11 9 8 8 9 9 10 9 9 9 9 9 10 10 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 8 7 8 8 8 8 8 8 9 9 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 8 8 7 8 8 8 8 9 9 9 9 9 9 9 9 nan
nan 14 14 14 14 14 14 14 14 14 14 14 13 12 10 8 7 8 9 10 10 9 9 9 9 10 11 11 11 11 11 11 10 10 10 10 10 11 10 9 8 9 10 10 10 10 8 8 8 9 9 10 11 11 11 11 10 11 11 12 12 11 8 4 1 0 2 4 4 5 8 10 9 5 3 5 7 8 8 9 10 11 10 9 9 9 9 9 8 7 7 6 7 8 9 11 12 12 10 9 8 8 9 9 9 9 9 8 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 8 7 7 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 9 9 9 8 8 8 8 8 8 8 8 7 8 8 8 8 9 10 10 9 9 9 9 9 nan
nan 15 15 15 15 15 15 15 15 15 15 14 14 12 10 9 8 8 9 10 10 10 9 9 9 10 11 12 11 11 11 10 10 10 10 10 11 11 10 10 9 9 9 10 10 9 9 9 9 10 10 11 11 11 10 10 10 11 11 11 11 8 5 1 -1 1 5 8 8 7 7 7 6 4 5 8 9 10 9 10 12 12 11 10 10 10 9 8 7 7 7 7 8 9 10 12 12 10 9 8 8 8 8 8 8 8 8 8 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 8 7 7 7 8 8 9 8 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 8 9 9 9 9 9 9 8 8 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 nan
nan 15 15 15 16 16 16 16 15 15 15 14 13 12 11 9 8 8 9 9 10 10 10 9 9 10 11 12 11 11 10 10 10 9 9 10 10 10 10 10 9 8 8 9 9 9 9 9 10 11 12 12 10 9 9 10 10 11 11 10 8 6 3 1 2 5 10 11 9 6 5 5 5 6 8 10 12 11 10 11 12 12 11 11 11 10 8 7 7 7 8 8 9 11 12 12 11 9 9 9 8 8 8 8 8 8 8 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 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 8 9 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 nan
nan 15 16 16 16 17 16 16 15 15 15 14 13 12 11 9 8 8 8 9 10 10 10 9 9 10 11 11 11 11 10 10 10 9 9 10 10 10 10 10 9 7 7 8 10 10 9 10 11 12 12 10 8 7 9 10 11 11 10 9 7 6 4 4 6 8 11 10 7 5 5 7 8 9 11 12 13 12 10 10 10 10 10 10 10 7 6 7 8 8 9 9 10 12 12 12 10 10 9 9 8 8 8 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 9 9 10 10 10 10 10 9 9 9 9 9 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 9 8 8 8 nan
nan 15 16 16 17 17 17 16 15 15 14 14 13 12 11 10 9 8 8 9 9 10 10 10 10 11 11 11 11 11 11 10 10 9 9 10 10 10 10 9 8 7 8 9 10 10 10 10 11 11 10 8 7 8 10 12 12 11 10 8 6 6 6 7 9 10 10 9 7 7 8 9 10 11 12 13 13 11 9 8 8 8 8 8 6 5 5 8 9 9 9 9 11 12 12 11 10 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 8 8 8 8 8 9 9 8 8 8 8 9 9 10 11 11 11 11 10 9 9 9 9 9 9 9 10 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 9 8 7 7 nan
nan 14 16 17 18 18 17 16 15 15 14 13 12 12 11 10 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 8 8 8 9 9 10 10 11 11 9 8 8 9 11 13 13 11 10 9 7 6 7 8 9 10 10 9 9 9 10 10 11 12 12 12 12 12 10 9 8 8 7 6 6 5 6 8 10 10 9 8 9 11 12 11 10 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 8 9 9 8 8 7 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 8 8 9 9 9 9 10 10 10 9 9 9 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 7 7 7 nan
nan 14 16 17 18 18 18 17 16 15 14 13 12 12 11 10 10 9 9 9 10 10 11 11 10 11 11 12 12 12 12 11 10 10 9 9 9 9 8 8 8 8 8 8 9 10 11 12 10 8 8 10 12 13 13 11 9 8 7 7 7 8 9 10 10 9 9 9 10 10 10 11 12 12 11 11 10 9 8 8 7 6 6 7 7 9 9 9 8 7 8 10 11 11 10 10 10 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 8 8 7 8 8 9 9 9 9 8 9 9 10 10 10 9 9 9 8 8 8 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 8 8 8 8 8 7 7 7 nan
nan 15 17 18 19 19 18 17 16 15 14 13 13 13 12 11 10 10 10 10 10 11 11 10 10 10 11 12 13 13 12 11 11 10 10 9 9 9 8 7 7 7 7 8 9 11 12 12 10 9 10 11 12 12 11 8 6 6 7 8 8 9 9 10 10 9 9 8 8 8 9 10 11 11 10 10 9 8 8 6 5 5 6 8 9 9 8 7 7 8 10 11 11 11 11 11 11 10 9 8 8 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 8 7 7 8 9 9 9 9 8 8 9 9 10 10 10 9 9 8 8 8 9 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 nan
nan 16 17 18 19 19 18 17 16 15 14 14 14 14 13 12 11 10 10 10 11 11 11 11 11 11 12 13 13 13 12 12 11 11 10 10 10 9 8 8 7 7 7 8 9 11 12 11 10 10 10 11 11 10 9 7 6 6 7 8 8 9 9 10 10 9 8 7 6 7 9 11 11 11 11 10 10 9 8 6 6 7 8 9 10 10 10 10 11 12 12 12 12 12 12 12 11 9 8 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 8 9 9 9 9 9 8 9 9 10 10 9 9 9 8 8 7 8 9 9 8 7 7 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 nan
nan 16 17 18 18 18 17 16 15 15 14 14 14 14 14 13 12 11 11 11 11 11 11 11 11 12 12 13 13 13 12 12 12 11 11 10 10 9 8 8 8 8 8 8 9 11 11 11 11 10 10 10 10 9 8 6 5 6 6 8 9 9 10 10 9 8 7 6 7 9 11 12 11 11 10 10 9 9 8 7 8 10 11 11 11 11 11 11 12 12 11 11 11 11 11 10 9 8 7 6 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 9 9 10 9 9 8 9 9 9 9 8 8 8 8 7 7 7 8 8 8 7 7 7 7 7 8 9 9 9 9 9 8 8 9 9 8 8 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 nan
nan 16 17 17 17 16 16 15 14 14 14 14 15 15 14 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 10 9 9 9 9 9 8 8 9 10 11 11 11 10 9 9 10 10 9 7 5 5 5 7 9 10 10 10 10 9 8 6 6 8 11 12 12 11 10 9 9 9 9 8 9 10 12 12 12 11 10 10 10 10 10 9 9 9 9 9 9 8 7 6 6 7 8 8 8 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 10 10 9 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 7 7 6 7 7 8 8 9 9 9 9 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 nan
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nan 13 13 13 13 13 13 13 13 12 12 12 11 11 10 10 9 9 10 10 11 11 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 9 8 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 8 7 7 7 7 7 7 8 9 10 11 11 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 8 7 6 5 5 5 6 7 8 9 9 10 12 14 14 14 14 14 15 14 11 8 6 6 7 8 9 9 10 10 11 11 10 8 8 8 7 6 6 7 8 10 11 11 10 10 8 5 2 2 3 5 6 7 10 15 21 21 19 15 12 10 10 10 10 10 10 10 11 12 12 12 nan
nan 13 13 13 13 13 13 13 13 12 12 11 11 11 10 10 9 9 10 10 11 11 11 11 11 10 10 10 9 9 9 8 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 9 9 9 8 8 7 7 7 8 8 8 9 10 10 11 10 10 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 5 5 5 6 7 8 9 9 9 11 13 14 15 16 16 15 11 8 6 6 7 8 10 11 11 11 10 10 10 9 9 9 8 6 6 7 8 9 11 11 11 10 9 7 3 1 1 3 5 6 8 11 18 22 20 17 14 11 11 11 11 11 11 11 12 12 12 12 11 nan
nan 13 12 13 12 12 12 12 12 12 12 11 11 11 10 10 9 10 10 10 10 10 11 10 10 9 9 9 9 9 9 8 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 9 9 9 10 10 9 8 7 7 8 8 9 8 8 7 7 7 8 7 8 8 8 9 9 9 9 8 7 7 7 8 9 9 9 10 11 11 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 8 7 6 5 5 6 7 8 8 9 9 10 13 14 16 17 16 13 10 8 7 7 8 10 11 12 12 11 10 10 11 12 12 10 9 8 8 9 10 11 12 11 10 8 6 3 1 -1 1 4 6 7 9 12 18 20 19 16 13 12 12 12 12 12 12 12 12 12 12 11 10 nan
nan 13 13 12 12 12 12 12 12 12 12 11 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 10 10 11 11 10 10 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 8 8 7 7 8 8 8 8 8 9 9 9 9 8 8 7 8 8 9 10 10 11 11 11 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 6 5 5 6 7 7 8 8 9 10 12 14 17 17 14 12 10 9 9 8 9 10 11 12 12 11 10 11 13 14 13 11 9 10 11 11 11 12 12 10 8 6 3 -0 -1 0 3 6 7 8 9 13 17 18 17 15 12 12 12 11 11 11 12 12 12 11 11 10 9 nan
nan 14 14 15 14 13 12 12 12 12 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 10 10 11 11 11 11 10 10 9 9 9 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 10 11 11 11 11 10 9 8 8 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 8 7 6 5 6 6 7 8 8 8 9 11 14 17 17 14 12 11 10 9 8 8 9 10 12 12 11 11 13 14 13 12 10 10 11 11 12 12 12 12 11 8 5 3 1 2 4 6 7 8 8 9 12 14 15 14 13 12 12 12 12 11 12 12 12 11 11 10 9 9 nan
nan 15 15 15 15 14 14 13 12 11 11 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 8 8 9 9 9 10 10 10 9 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 11 11 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 7 6 6 5 6 7 7 8 8 9 11 13 15 15 13 12 11 10 10 9 9 9 11 12 12 12 12 12 12 12 10 10 10 11 12 13 13 14 13 11 9 6 5 5 6 7 7 8 8 8 9 10 10 11 12 13 13 13 13 12 12 12 12 11 11 10 9 9 9 nan
nan 14 14 14 14 14 13 12 12 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 11 11 11 10 9 9 9 9 9 9 9 8 9 9 10 10 10 10 9 8 8 8 8 9 9 9 10 10 10 9 9 9 9 8 8 8 8 8 9 9 10 11 12 12 11 10 9 9 8 8 8 8 8 8 8 9 9 8 8 8 8 8 9 9 9 8 8 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 8 7 6 5 5 6 7 7 8 8 9 10 12 13 13 12 12 11 10 10 9 9 10 13 14 14 13 12 12 11 10 9 10 11 13 14 15 15 14 12 9 6 6 6 6 6 7 8 8 8 8 8 9 9 11 14 16 17 15 14 12 12 12 12 11 9 7 7 7 9 nan
nan 13 13 12 12 12 12 11 10 10 10 11 11 11 12 12 12 12 12 12 11 11 10 9 9 8 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 7 8 9 9 9 10 10 10 10 10 10 10 9 8 7 7 8 9 10 10 11 11 11 10 10 9 9 9 9 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 8 7 6 5 5 6 6 7 8 9 9 9 10 11 12 13 12 12 11 10 10 11 12 14 14 14 13 12 11 10 9 9 11 13 14 14 14 13 11 8 5 3 4 5 6 6 7 8 8 8 8 9 9 10 12 15 17 17 16 14 13 12 11 10 7 4 2 2 4 9 nan
nan 13 12 11 11 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 11 11 9 8 8 8 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 8 8 8 8 9 9 9 9 10 10 10 9 9 10 10 9 8 8 8 9 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 10 9 9 8 8 6 6 5 4 6 7 8 8 8 8 8 9 10 12 14 14 13 12 11 12 13 13 13 12 12 11 10 9 9 9 10 11 12 12 12 10 9 7 5 2 1 2 3 5 7 7 7 7 8 8 9 10 12 13 15 17 17 17 15 13 11 9 6 2 -1 -3 -1 6 11 nan
nan 13 11 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 11 12 12 11 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 8 7 6 5 5 5 6 7 8 8 8 8 8 8 10 13 15 16 14 12 12 13 13 12 11 10 10 9 8 8 9 9 10 11 11 11 10 9 8 6 3 0 -1 0 3 6 7 7 7 7 8 9 11 12 12 13 14 17 19 20 17 13 8 5 2 -1 -2 0 6 14 17 nan
nan 12 11 11 11 11 11 11 10 11 11 12 12 12 12 12 11 12 12 12 12 11 11 10 10 10 10 10 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 12 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 10 9 9 8 7 6 6 5 5 5 6 7 8 8 7 7 7 7 10 13 15 15 12 10 10 10 9 8 9 9 8 7 7 8 9 9 10 11 11 10 9 7 6 5 2 -1 -2 0 4 6 6 6 7 8 10 11 12 13 13 13 15 18 21 22 16 10 4 1 1 1 3 7 15 20 21 nan
nan 12 11 11 12 12 12 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 12 12 11 11 10 10 9 9 8 8 8 8 9 9 9 9 10 10 10 10 9 9 8 8 8 7 8 8 9 9 9 9 9 9 9 8 8 8 9 9 8 8 8 9 11 12 12 12 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 11 10 9 9 9 9 8 7 6 6 6 7 7 8 7 7 6 6 6 7 9 11 12 11 9 7 7 6 6 8 10 10 8 7 8 8 9 9 10 10 10 9 7 6 5 4 1 -1 -1 1 4 5 6 7 8 10 11 12 13 14 13 15 17 21 23 20 11 4 1 1 3 5 7 11 16 19 21 nan
nan 10 11 11 12 13 12 12 11 10 10 10 10 10 11 11 12 12 13 14 14 13 13 12 11 11 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 6 6 7 8 9 9 10 11 12 12 11 11 11 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 11 11 12 12 12 12 11 9 8 8 8 9 9 8 7 6 6 8 9 8 6 5 5 5 6 7 8 9 9 8 7 6 5 5 7 11 13 12 10 10 10 10 10 10 11 11 10 8 6 6 7 6 2 -1 -1 2 4 5 7 8 10 12 13 14 14 14 14 17 21 25 23 14 6 1 1 4 7 8 10 12 16 20 23 nan
nan 9 10 11 12 12 12 11 11 10 10 10 10 10 10 11 11 12 13 14 14 13 13 12 11 10 10 9 9 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 7 6 6 7 8 10 11 12 13 13 12 11 11 11 11 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 11 12 12 12 11 10 9 9 8 8 9 10 9 7 6 7 10 10 8 5 3 3 5 6 7 8 8 8 8 8 7 7 7 11 15 15 13 12 13 14 13 13 12 11 10 9 6 6 7 7 6 1 -2 -1 1 4 7 9 11 12 13 14 14 14 14 16 20 23 23 16 7 2 1 4 7 8 10 11 15 20 24 26 nan
nan 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 12 13 13 13 12 12 11 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 7 8 8 7 8 8 10 12 13 14 14 13 12 11 10 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 11 10 10 10 10 10 10 10 9 9 10 10 11 12 12 12 12 11 10 9 9 9 9 10 10 10 9 8 8 10 9 6 3 2 3 5 7 7 7 8 8 9 9 9 9 10 13 14 13 13 13 14 14 13 12 11 10 9 6 4 3 3 3 -1 -5 -5 -2 2 7 10 11 13 14 14 15 15 15 16 18 19 20 14 6 1 0 4 7 9 10 11 14 18 24 27 26 nan
nan 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 10 10 9 9 8 8 8 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 11 13 14 14 13 12 11 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 9 10 11 11 10 10 10 10 11 10 10 9 9 10 10 11 12 12 12 11 10 10 9 9 9 9 10 10 10 9 9 9 8 7 5 3 4 5 7 8 8 8 8 8 9 9 10 10 11 12 11 11 13 14 14 12 11 10 9 8 7 4 1 -1 -3 -4 -5 -6 -3 1 7 10 12 13 14 15 15 16 17 18 18 18 17 14 8 3 2 4 7 9 10 12 14 19 24 27 27 24 nan
nan 11 11 12 12 12 12 12 12 11 10 10 9 9 9 10 10 11 11 11 12 12 12 12 12 12 11 11 10 10 9 9 8 8 7 7 7 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 9 10 11 13 14 13 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 9 9 10 11 10 10 10 10 10 10 10 9 9 9 10 10 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 8 5 4 5 7 8 8 9 9 9 9 9 9 9 10 11 11 10 11 12 15 16 15 13 11 8 7 5 3 -0 -3 -5 -5 -3 -1 2 6 9 12 13 14 14 15 16 17 19 22 23 22 20 17 13 8 7 7 8 9 11 12 15 20 25 28 28 25 19 nan
nan 12 12 13 13 13 12 12 11 10 9 9 8 8 9 9 9 10 10 11 11 12 12 13 13 13 12 12 11 10 10 9 8 7 7 7 8 8 9 9 9 9 8 8 8 7 8 8 9 9 9 9 9 9 10 10 12 12 13 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 9 9 9 9 10 10 10 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 9 10 10 9 8 6 6 8 9 10 10 11 11 10 9 9 9 10 10 11 11 11 11 14 17 17 15 13 10 6 2 -0 -2 -4 -4 -3 0 4 8 11 13 14 14 14 15 16 17 19 22 25 27 26 23 20 17 13 10 8 8 9 11 13 16 21 25 28 27 24 19 14 nan
nan 13 13 13 13 12 12 11 10 10 9 8 7 8 8 9 9 9 10 10 11 12 12 13 13 13 13 12 12 11 10 9 8 7 7 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 11 12 12 12 11 10 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 9 11 12 12 13 13 12 10 9 9 10 11 11 12 12 12 12 14 15 15 14 12 7 2 -0 -1 -1 0 2 5 9 13 15 16 16 16 16 18 20 21 22 25 26 27 25 21 17 14 11 8 7 7 9 11 13 16 20 25 27 25 21 17 13 11 nan
nan 12 12 12 12 11 11 11 10 10 9 8 8 8 8 9 9 9 9 10 11 11 12 13 13 13 13 12 12 11 10 9 8 8 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 11 11 12 11 11 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 10 10 11 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 10 11 11 12 12 13 13 11 9 8 10 13 14 14 14 13 13 14 15 15 15 15 12 7 5 5 6 8 10 12 15 18 20 20 19 18 19 21 22 23 23 23 23 22 19 14 11 8 6 4 3 5 9 12 15 17 21 24 26 23 19 15 12 11 11 nan
nan 12 11 11 11 11 11 11 11 10 9 8 8 8 8 8 9 9 9 9 11 11 12 12 13 13 13 13 12 11 10 10 9 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 12 11 10 8 10 14 17 18 17 16 15 16 17 19 20 21 20 17 13 13 13 15 17 18 20 22 23 22 19 17 15 17 18 18 17 15 15 13 10 7 6 6 7 7 8 10 13 16 18 20 22 24 24 22 18 14 12 11 11 11 nan
nan 12 12 11 11 11 11 10 10 9 8 7 8 8 8 8 8 8 9 9 11 11 12 12 13 13 13 13 12 11 11 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 10 9 9 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 9 8 8 8 9 9 9 9 10 10 10 10 10 10 10 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 10 10 10 10 10 10 10 10 10 9 9 10 11 11 10 11 13 17 18 18 17 16 17 19 21 22 23 22 21 18 17 17 17 18 19 20 20 20 18 15 11 8 9 12 13 12 10 10 10 9 8 8 11 14 16 16 16 18 20 21 21 21 21 21 19 16 13 12 11 11 11 11 nan
nan 12 12 12 11 10 9 8 8 7 7 7 8 8 8 8 9 9 9 10 11 11 12 12 13 13 13 12 12 11 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 10 10 11 11 11 11 10 10 9 8 8 8 8 8 8 8 7 7 7 7 8 8 7 7 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 12 13 15 15 15 14 15 16 19 20 20 18 17 15 14 14 14 15 15 16 16 15 14 11 9 8 8 12 15 17 16 16 16 17 16 17 19 21 22 21 18 17 17 17 17 17 17 16 15 13 12 11 11 11 11 11 10 nan
nan 12 13 12 11 9 8 7 7 7 7 7 8 8 9 9 9 9 10 11 11 11 12 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 9 8 8 8 8 8 8 8 8 8 7 7 7 8 8 7 7 7 7 8 9 9 9 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 9 9 10 10 11 11 12 12 12 12 12 13 14 15 15 14 12 11 10 10 10 10 11 12 12 12 11 11 12 13 15 17 19 21 22 22 21 21 20 21 22 22 21 19 16 13 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 9 nan
nan 12 12 11 10 8 7 6 7 8 8 8 8 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 10 10 9 9 9 9 10 11 11 12 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 8 8 8 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 9 9 9 10 10 9 9 10 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 7 6 5 5 7 8 9 10 10 11 11 12 12 12 12 12 12 12 10 9 8 7 7 7 8 9 11 12 12 12 13 15 17 17 18 19 19 19 19 18 16 16 16 17 16 15 13 11 11 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 nan
nan 11 10 9 8 8 7 8 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 10 10 9 9 8 9 9 9 9 10 10 9 8 8 9 10 11 12 12 12 11 10 10 9 9 9 9 9 9 8 8 8 7 7 8 8 9 10 10 11 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 9 9 9 9 9 9 9 10 10 9 9 9 9 9 10 10 9 9 10 10 10 10 10 10 9 9 9 8 6 4 2 0 -1 0 3 5 7 8 9 10 11 12 12 11 11 11 11 10 9 7 3 2 3 6 9 12 13 14 14 14 14 14 14 14 14 14 14 14 13 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 nan
nan 9 9 9 9 9 10 10 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 9 9 8 8 10 12 13 12 12 11 10 10 9 9 10 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 8 9 9 9 10 10 10 10 11 11 11 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 7 5 1 -2 -3 -4 -3 0 3 5 6 7 7 8 9 9 8 8 7 8 9 8 6 2 -3 -3 2 8 14 17 16 15 14 14 13 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 nan
nan 10 10 10 11 11 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 8 8 9 9 9 9 10 9 9 8 9 10 12 13 13 11 10 10 10 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 9 9 10 10 10 10 11 11 11 10 10 10 9 8 8 8 8 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 6 4 0 -3 -4 -3 -1 2 5 6 7 7 7 7 8 7 6 4 2 2 4 6 6 3 -2 -5 -1 6 15 21 21 18 16 14 13 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 nan
nan 11 12 12 12 12 12 12 12 12 12 12 12 11 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 10 12 14 14 12 11 10 10 9 9 9 9 9 9 9 9 8 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 10 10 9 8 8 7 7 8 9 10 11 11 10 9 8 8 8 9 9 10 10 10 10 10 10 10 9 8 7 6 4 2 -0 -2 -4 -2 1 5 7 8 9 9 9 9 10 9 8 6 4 2 3 6 7 6 3 -1 -0 7 14 23 26 23 19 15 13 12 12 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 11 11 11 11 11 11 11 11 11 nan
nan 12 12 12 12 13 13 12 12 12 12 12 12 11 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 12 13 14 14 12 11 10 9 9 9 8 8 9 9 8 8 7 6 6 6 7 8 8 8 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 7 7 6 7 8 10 10 11 11 10 9 9 8 8 8 9 10 10 11 11 11 10 9 8 6 5 3 2 0 -1 -1 1 4 6 8 9 9 9 10 10 11 11 11 11 10 9 8 9 9 9 8 6 6 10 17 23 28 27 23 18 14 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 nan
nan 12 12 12 12 12 12 12 12 12 12 12 11 10 10 10 9 9 10 9 9 9 9 9 8 8 8 8 8 9 9 8 8 8 9 10 11 12 14 15 14 13 11 10 9 8 7 7 7 8 8 7 6 6 6 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 7 7 7 7 6 6 6 7 8 9 9 10 10 10 10 9 9 9 9 9 10 10 11 12 12 10 9 8 7 6 6 4 4 4 5 6 7 8 9 9 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 10 12 17 22 27 27 23 19 15 13 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 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 0 0 0 0 0 0 2 20 63 117 169 220 276 329 377 419 466 528 606 683 724 737 724 666 545 368 178 40 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
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