Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 10 10 10 10 10 11 11 11 11 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 9 9 9 9 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 8 7 7 7 8 9 10 11 11 11 11 10 10 10 10 9 8 9 10 10 11 10 9 9 11 13 14 15 14 13 12 11 11 11 11 12 13 14 16 16 14 12 11 10 8 8 8 9 9 10 9 8 7 6 6 6 5 6 7 8 8 9 9 9 10 10 9 9 9 9 9 10 11 11 10 10 10 10 10 10 10 11 11 11 10 9 7 6 6 6 7 9 9 10 11 12 13 12 11 9 9 10 11 11 11 10 9 9 9 8 8 8 8 8 10 11 12 12 11 10 8 7 6 6 7 10 15 22 nan
nan 10 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 10 9 9 9 9 10 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 8 7 7 7 9 10 11 11 11 10 9 9 10 10 9 8 9 10 11 11 10 9 9 11 13 14 14 13 13 13 14 14 13 12 11 11 13 14 14 13 13 12 10 9 9 9 10 10 10 9 8 8 8 7 5 5 6 7 7 7 7 8 9 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 9 8 7 5 5 5 6 7 8 8 8 10 12 13 13 12 10 10 11 12 12 12 11 10 9 8 8 9 8 8 8 8 10 12 12 12 11 10 8 7 7 7 9 12 19 nan
nan 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 11 11 11 11 10 10 9 9 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 8 7 7 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 8 8 7 7 9 10 11 11 10 9 8 9 10 10 9 9 10 10 11 11 9 8 10 11 12 12 11 11 11 12 13 14 14 12 11 10 9 10 10 11 11 11 11 11 10 10 10 11 10 10 9 9 9 8 7 7 7 8 8 7 7 8 9 10 10 11 10 9 9 9 10 10 10 9 9 9 9 8 8 8 8 8 8 8 6 5 5 6 6 7 7 7 8 9 11 12 13 12 11 11 11 12 13 13 12 11 10 9 9 9 9 9 9 8 8 10 11 12 12 11 9 8 7 7 8 10 15 nan
nan 8 8 8 9 9 9 10 10 9 9 8 8 9 9 10 10 10 11 10 10 10 9 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 10 10 10 9 8 8 9 10 10 9 9 9 10 10 10 9 10 10 11 11 10 8 8 8 9 10 11 12 11 10 9 8 7 8 9 10 10 11 11 11 11 11 11 11 10 9 9 9 8 8 8 9 9 9 8 8 9 9 10 10 10 9 9 9 10 10 10 9 9 9 8 8 8 8 8 8 7 8 8 7 6 7 7 8 8 7 7 8 9 10 11 12 12 11 11 11 11 12 12 12 12 12 11 10 10 10 10 10 9 9 9 11 11 11 11 10 9 7 7 8 9 12 nan
nan 8 8 8 9 9 9 10 10 9 9 9 8 8 9 9 10 10 10 9 9 9 9 9 10 10 9 9 8 8 7 7 8 8 9 9 9 9 8 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 9 10 10 9 9 9 9 10 9 9 9 9 10 10 10 10 10 10 10 10 9 8 7 7 8 8 9 9 9 9 9 8 8 8 9 10 10 11 11 11 12 12 12 12 10 9 9 8 8 8 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 8 8 9 10 11 9 8 7 7 8 9 9 9 9 8 8 8 8 9 9 10 11 11 11 11 11 11 12 12 12 12 12 12 11 10 10 10 10 9 9 9 10 11 10 10 10 9 8 7 7 7 10 nan
nan 8 9 9 9 9 10 10 10 9 9 9 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 7 8 8 8 8 8 9 8 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 9 9 10 10 9 9 9 9 9 9 9 10 10 10 11 10 10 9 9 9 8 8 8 8 9 8 8 8 9 9 9 9 9 9 10 10 10 10 11 11 12 13 13 13 11 9 8 8 8 8 8 8 9 10 10 10 9 8 7 8 9 9 9 10 10 10 10 11 11 11 10 9 10 12 12 11 8 7 6 8 9 10 9 8 8 8 8 9 9 9 9 10 10 11 11 11 11 11 12 12 12 12 12 12 11 10 9 9 8 9 9 10 11 11 10 10 9 9 7 7 7 8 nan
nan 8 9 9 9 9 10 10 10 10 9 9 9 9 10 11 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 8 8 9 9 9 10 10 10 10 9 9 9 10 10 10 11 11 11 10 9 9 9 9 9 9 10 10 9 8 8 8 9 9 9 9 10 10 9 9 10 11 12 12 13 13 13 11 9 8 8 8 8 8 9 9 10 10 10 8 6 6 7 8 8 9 10 10 10 10 10 11 11 11 10 11 11 12 11 9 8 7 8 9 9 8 7 7 7 8 9 10 9 9 9 9 9 10 11 11 11 12 13 14 14 14 13 13 11 10 9 8 8 9 10 11 11 11 11 10 10 10 9 9 9 nan
nan 9 9 9 9 9 10 10 10 10 10 10 10 10 11 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 11 10 9 8 8 8 9 9 9 9 9 8 8 8 10 11 12 12 12 13 13 12 10 9 8 8 9 10 10 10 10 10 10 8 6 6 6 7 8 8 9 9 9 9 9 10 11 11 11 11 11 11 10 10 10 9 8 8 8 7 7 7 7 8 9 10 10 9 9 8 8 9 9 10 11 12 13 14 14 14 15 15 15 13 11 10 9 9 10 10 10 11 11 11 11 11 12 12 12 nan
nan 9 9 9 9 9 10 10 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 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 10 10 10 11 10 10 10 10 9 9 10 10 10 10 10 10 9 9 9 10 10 10 9 8 9 9 9 9 8 8 7 7 8 10 11 12 12 12 13 13 13 12 10 9 9 10 12 12 11 10 11 11 9 7 6 6 7 8 8 8 8 8 8 8 9 10 11 11 11 10 10 10 10 10 10 9 8 8 7 7 8 8 8 9 10 10 9 8 8 8 8 8 9 10 11 12 12 13 14 15 16 17 16 15 13 12 11 10 9 8 9 10 10 10 11 12 13 13 nan
nan 9 9 9 9 10 10 10 11 11 12 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 10 10 11 11 11 10 9 9 9 9 9 10 10 10 10 10 9 9 10 10 10 10 10 10 10 9 9 9 9 8 7 8 9 10 10 11 12 12 12 12 12 11 10 10 10 11 13 13 12 12 12 12 11 9 8 7 8 8 8 8 8 8 8 9 10 11 11 11 10 9 9 9 9 9 10 10 10 9 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 10 11 11 12 13 14 15 16 17 16 15 14 12 11 9 8 8 8 8 8 9 10 11 12 nan
nan 9 9 9 10 10 10 10 11 11 12 12 11 11 10 9 9 9 9 9 9 10 10 10 9 9 8 8 9 9 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 10 10 11 12 11 11 10 9 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 10 10 10 10 11 10 11 11 12 11 10 10 10 12 13 13 13 13 13 13 13 11 9 9 9 9 9 9 9 9 9 10 11 11 11 10 9 9 9 9 9 9 9 10 10 10 9 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 10 11 12 13 14 15 16 16 16 15 14 12 10 9 8 8 7 7 7 8 9 10 nan
nan 9 9 9 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 9 9 8 8 9 9 10 10 10 9 9 9 9 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 10 10 10 10 10 11 12 12 11 10 9 8 8 8 9 9 9 10 10 10 10 10 10 11 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 11 10 10 11 12 13 13 12 12 12 12 13 12 11 11 11 11 11 10 10 9 9 10 10 11 11 11 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 9 9 9 8 9 10 10 10 11 12 13 14 15 15 15 16 16 15 13 12 10 9 8 7 6 6 7 8 8 nan
nan 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 8 8 8 9 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 10 10 10 10 9 9 9 9 10 10 10 11 12 12 12 11 9 8 8 8 9 9 9 9 9 10 10 10 10 10 11 11 10 10 11 11 11 10 10 11 11 11 11 11 10 10 11 11 11 11 12 12 12 11 11 11 12 12 13 12 11 9 9 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 9 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 11 11 12 13 14 15 15 16 16 16 16 15 15 13 12 10 9 8 8 7 6 6 7 nan
nan 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 9 10 10 10 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 9 9 9 9 9 9 9 10 11 12 13 13 11 9 8 8 8 8 9 9 9 9 9 10 10 10 10 11 11 10 10 10 10 11 11 10 11 11 12 12 11 11 10 10 11 11 11 12 12 12 11 11 11 12 13 13 12 11 9 8 8 9 10 11 10 10 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 10 10 10 11 11 12 12 14 16 17 17 18 17 17 17 16 16 15 13 12 11 10 9 8 6 5 6 nan
nan 9 9 10 10 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 11 12 14 14 13 10 8 7 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 11 10 10 10 10 11 12 12 11 11 11 12 13 12 12 11 9 8 7 7 8 10 10 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 10 10 12 14 16 18 19 20 19 18 18 17 16 16 15 14 13 12 12 10 8 6 5 nan
nan 9 9 9 9 9 9 9 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 9 10 10 10 10 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 9 9 9 8 8 8 10 12 14 14 14 11 8 7 7 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 9 8 8 7 6 5 6 7 8 8 8 9 9 10 9 9 9 8 8 8 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 11 11 11 10 9 9 8 9 11 13 17 20 20 20 20 19 18 17 17 16 15 14 13 13 12 10 8 6 nan
nan 8 9 9 9 9 9 10 10 10 9 8 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 13 14 14 12 8 6 6 7 8 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 10 10 9 10 10 10 9 7 6 6 5 4 4 4 4 5 5 6 7 9 10 9 9 8 8 7 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 11 11 10 10 10 10 10 10 10 10 10 9 7 7 7 8 10 13 16 18 19 20 20 19 19 18 17 15 14 14 13 12 11 9 8 nan
nan 8 9 9 9 9 10 10 10 9 8 8 8 8 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 12 13 14 13 10 7 6 6 7 9 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 9 10 10 10 9 9 8 7 8 9 10 9 9 8 8 7 5 4 3 2 3 3 4 4 6 7 8 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 9 9 9 9 10 10 9 9 9 8 7 7 7 7 8 10 11 13 16 19 20 20 20 20 18 16 16 15 13 12 11 10 9 nan
nan 8 8 8 9 9 10 10 10 9 8 8 8 8 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 12 10 7 6 6 8 10 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 10 9 9 8 8 8 9 9 8 8 7 6 5 7 9 11 12 13 13 12 11 9 7 6 5 4 4 3 2 2 2 2 3 3 5 6 7 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 8 9 9 9 14 17 18 18 19 19 18 18 18 16 14 13 12 11 11 nan
nan 8 8 8 9 9 10 10 10 9 9 8 8 8 9 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 10 10 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 11 12 13 12 10 8 6 6 7 9 9 10 11 12 12 12 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 6 5 6 8 11 12 14 16 17 18 17 15 13 12 11 10 9 7 4 1 -2 -2 -2 -2 -0 1 3 5 6 6 7 7 7 8 8 8 9 9 9 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 10 9 7 8 12 14 14 15 16 16 16 17 18 16 15 13 12 11 11 nan
nan 8 8 8 9 10 10 10 10 9 9 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 10 10 10 9 9 11 12 13 13 11 7 6 5 6 7 7 8 10 12 13 13 13 12 11 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 8 8 8 9 9 9 8 7 7 9 11 13 12 14 16 19 21 20 18 17 17 16 15 14 11 9 7 4 1 -0 -1 -2 -1 -1 1 2 4 5 5 6 6 7 8 8 8 9 9 9 9 9 9 9 9 9 8 9 8 8 8 8 8 9 10 10 10 10 11 12 12 11 9 7 7 9 11 11 13 13 12 12 14 15 14 14 14 12 11 11 nan
nan 8 8 8 9 10 10 10 10 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 9 10 11 13 14 14 10 6 4 4 4 5 5 7 8 10 13 14 14 13 11 10 10 10 10 10 10 10 9 9 8 8 8 9 10 10 9 9 9 9 9 9 9 9 10 11 12 12 11 12 14 16 18 17 16 16 16 15 14 13 13 12 11 10 9 7 5 4 2 0 -1 -0 1 3 5 6 6 6 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 12 12 11 10 8 8 9 9 9 11 10 8 9 11 11 12 13 14 13 12 11 nan
nan 8 8 8 9 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 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 10 11 13 15 14 10 5 3 3 3 3 4 5 6 8 11 14 15 14 12 11 10 10 10 10 10 10 10 10 9 8 8 9 10 10 9 9 8 8 9 9 9 10 10 10 11 10 10 10 10 12 12 11 12 12 11 10 9 9 10 10 11 11 12 12 11 10 9 7 5 2 2 2 2 4 4 4 5 6 7 8 8 8 8 8 9 9 8 8 9 9 9 9 10 11 11 11 10 11 11 12 12 11 11 11 10 10 10 10 9 9 9 8 7 8 9 7 8 10 12 12 12 12 nan
nan 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 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 11 13 15 14 9 6 3 1 1 1 2 3 4 6 9 12 15 15 13 11 11 10 10 11 11 11 10 10 9 8 9 9 10 10 9 8 8 9 9 9 10 9 9 9 9 10 10 9 9 10 10 10 10 9 7 6 6 6 8 9 10 11 11 12 13 13 14 13 12 9 7 4 1 -1 -1 -0 1 3 5 6 7 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 9 10 10 11 11 10 10 11 12 12 11 10 9 9 8 8 8 6 4 5 7 9 10 11 12 nan
nan 8 9 9 9 10 10 10 10 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 9 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 10 12 15 13 9 6 3 1 1 1 1 1 2 3 6 11 14 15 14 12 11 10 10 11 11 11 11 10 9 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 9 9 10 10 11 11 11 10 9 7 7 6 6 7 9 10 12 12 13 14 15 16 16 17 16 15 12 7 3 -0 -2 -3 -1 1 3 5 6 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 9 9 10 10 10 10 11 11 12 12 12 11 11 11 10 9 9 7 5 5 7 7 7 8 10 nan
nan 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 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 12 14 12 9 6 2 1 1 1 1 1 1 2 5 9 12 14 14 13 11 10 10 10 10 11 11 10 9 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 8 8 9 11 12 12 11 11 10 9 9 8 7 6 7 10 12 13 14 16 17 18 18 20 22 23 23 21 17 12 7 2 -2 -3 -2 -1 1 3 4 5 5 5 6 6 6 7 7 7 6 6 6 7 9 10 10 10 10 10 10 10 11 11 12 12 13 13 13 12 11 10 10 9 9 8 7 6 7 9 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 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 9 9 9 9 9 9 9 9 10 11 12 12 10 6 3 1 2 2 2 2 2 2 4 6 9 12 14 13 11 10 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 7 6 6 8 9 10 11 12 12 11 10 9 8 8 8 8 7 8 9 11 13 15 17 19 20 21 22 25 27 29 29 27 25 21 16 10 4 -0 -2 -3 -1 0 2 3 4 4 4 5 5 6 7 7 7 8 9 10 12 12 11 10 10 10 10 10 11 11 12 13 13 13 14 13 12 11 11 10 10 10 10 9 9 8 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 10 9 9 8 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 11 12 13 11 8 5 3 3 3 3 3 3 2 2 4 7 11 13 13 11 10 10 10 10 10 9 9 9 9 9 8 8 9 9 10 9 9 9 8 8 7 8 9 11 12 12 13 12 10 8 6 6 6 7 8 8 9 11 12 13 15 17 19 20 21 23 25 27 28 29 29 28 26 24 20 14 8 3 -1 -3 -2 0 3 5 5 5 5 5 6 7 7 8 10 11 13 13 11 10 9 9 9 9 10 10 11 12 12 12 12 12 12 11 11 10 10 10 10 11 11 10 9 nan
nan 9 9 9 9 9 9 9 10 10 10 9 9 9 8 8 8 9 9 10 10 10 9 9 9 9 9 8 9 9 9 9 9 9 9 10 10 10 10 10 10 9 8 8 8 8 9 10 10 10 9 9 9 8 8 9 9 9 9 9 9 10 10 10 10 11 13 14 13 10 8 5 4 4 4 4 3 2 2 3 6 12 14 15 14 12 11 10 10 10 9 10 10 10 10 9 10 10 11 11 11 10 9 9 9 9 10 11 11 11 12 12 10 8 5 4 5 7 8 9 10 11 11 11 12 13 15 15 16 17 18 19 20 22 24 27 29 29 29 28 25 20 14 7 2 0 2 4 7 8 7 6 6 6 7 7 9 11 12 13 11 9 7 7 8 8 8 9 9 10 10 10 9 8 8 9 10 10 10 10 10 11 11 11 10 9 nan
nan 9 9 9 9 10 10 10 10 10 10 9 9 9 9 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 9 10 10 10 10 10 9 9 9 9 9 9 8 9 9 9 10 10 10 10 11 14 15 14 12 9 6 5 5 5 4 4 3 2 3 8 14 17 18 16 13 11 11 11 11 11 10 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 10 9 10 10 8 5 3 3 5 8 10 11 11 11 11 12 12 12 12 13 13 14 15 16 16 17 19 22 25 27 29 31 30 29 25 19 14 10 8 8 9 10 9 8 8 8 8 9 10 12 12 12 9 7 6 6 7 8 8 8 8 8 8 7 6 6 6 7 8 9 9 10 11 13 13 12 11 9 nan
nan 9 9 9 10 10 10 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 12 14 15 15 12 9 6 6 5 5 4 4 3 3 6 12 17 19 19 16 13 12 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 12 12 12 12 11 10 9 9 9 8 6 3 -1 0 6 10 12 13 12 12 12 12 12 12 12 12 13 15 16 16 16 16 16 17 20 22 25 26 28 29 28 25 20 16 14 13 12 12 11 10 9 9 9 10 11 12 11 10 8 7 6 7 8 8 9 8 8 8 8 8 7 7 7 7 7 8 9 11 12 13 14 13 12 11 nan
nan 9 9 10 10 10 10 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 11 12 12 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 11 13 15 15 13 9 6 5 5 4 4 3 3 4 8 14 18 19 17 13 12 12 11 11 10 10 11 11 11 11 12 13 15 15 14 13 13 12 12 12 12 11 10 9 9 9 8 5 0 -4 -2 5 10 14 14 14 13 12 12 12 12 12 13 14 15 16 18 18 18 17 17 18 19 20 22 24 25 25 23 19 17 15 14 13 13 12 11 10 10 10 10 10 9 9 8 8 7 8 8 9 10 10 10 10 10 10 11 10 10 10 10 9 9 10 11 12 12 12 12 11 11 nan
nan 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 11 13 15 16 13 8 6 5 4 4 4 3 4 6 11 16 18 17 14 12 12 12 11 10 10 11 11 11 11 12 14 15 15 14 12 11 11 11 11 11 10 10 10 9 9 9 8 5 -1 -5 -2 3 9 13 15 15 14 13 12 12 12 12 12 13 14 17 19 20 20 19 19 19 19 20 21 21 22 21 18 16 15 13 12 12 12 11 11 10 10 10 9 8 7 7 7 7 7 8 9 10 10 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 10 9 9 9 nan
nan 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 11 11 12 11 11 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 10 12 14 16 15 12 8 6 5 4 4 4 3 4 7 12 15 15 13 12 11 12 12 12 11 11 11 12 12 14 17 18 18 16 12 9 9 9 9 9 9 9 9 9 9 9 9 8 4 -3 -4 -2 3 7 11 15 17 17 15 13 12 11 11 11 12 14 17 20 21 20 20 19 19 19 18 18 17 16 15 15 14 13 12 11 10 10 10 9 9 9 9 8 7 7 7 6 6 7 7 8 9 9 10 11 11 12 12 12 12 12 13 13 12 12 12 12 11 10 9 8 8 8 nan
nan 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 10 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 10 12 14 16 15 12 9 6 5 4 4 4 4 5 8 11 12 11 10 10 11 12 12 12 11 11 11 12 14 17 20 20 19 17 12 9 8 8 8 8 8 9 9 9 9 9 9 8 2 -3 -3 -1 3 7 10 14 17 19 17 14 12 11 10 10 11 12 15 17 18 18 18 17 17 16 14 12 11 10 11 11 12 11 10 10 9 9 10 9 9 8 8 7 7 6 6 6 7 7 8 8 8 8 9 9 9 9 11 11 12 12 12 12 12 12 12 12 11 10 9 9 8 8 nan
nan 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 9 10 11 14 16 16 13 10 7 5 4 4 4 4 5 7 10 10 9 9 9 11 12 11 11 10 11 11 12 14 17 18 19 18 15 12 10 9 8 8 8 8 8 9 9 9 9 9 6 2 -2 -2 1 5 7 9 12 16 19 18 15 12 11 10 10 10 11 12 14 14 14 14 13 13 11 10 9 10 9 10 11 11 10 10 10 10 10 10 10 9 8 7 6 6 6 6 7 8 9 9 9 9 9 9 8 9 9 10 11 12 12 12 12 11 12 12 11 11 10 10 9 9 8 nan
nan 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 9 9 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 9 9 9 9 10 13 15 16 15 12 9 6 5 4 4 4 5 6 8 8 8 9 10 10 10 10 9 9 10 11 12 14 15 16 16 15 13 11 10 9 9 8 7 8 8 9 9 9 9 8 5 1 -1 0 4 7 8 9 12 16 19 17 14 12 11 10 10 9 10 10 11 11 10 10 9 8 8 9 11 12 12 13 14 13 11 11 11 10 11 11 10 9 8 6 5 5 6 7 8 10 11 11 10 10 9 10 10 11 12 12 11 11 11 10 10 11 11 12 12 11 10 10 9 9 8 nan
nan 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 9 9 8 8 9 11 14 16 16 14 10 7 5 5 4 4 4 4 6 7 9 10 10 10 9 9 9 9 10 11 12 13 13 14 14 13 11 10 9 9 8 7 7 7 7 8 8 8 8 7 4 1 0 3 6 8 8 9 12 16 18 16 13 11 10 10 10 9 9 10 10 9 9 8 7 7 7 8 11 12 14 16 17 16 14 13 12 11 11 11 10 9 7 5 5 6 7 8 10 11 12 12 11 9 9 10 13 14 13 11 9 8 8 8 8 10 11 12 12 12 11 10 9 9 9 nan
nan 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 10 9 9 8 8 9 10 13 16 17 15 12 9 6 5 4 4 3 3 4 6 8 10 10 9 9 9 9 10 10 11 12 12 12 12 11 10 9 8 8 8 8 7 7 7 7 7 7 7 6 5 2 1 2 4 8 9 9 10 13 16 16 15 13 11 10 10 10 10 9 10 9 9 8 8 8 8 8 8 9 11 13 16 17 18 17 16 14 13 13 13 12 10 8 6 6 8 9 11 12 13 14 14 12 10 9 11 14 15 14 11 8 7 6 6 7 9 11 12 12 11 11 10 10 9 9 nan
nan 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 10 12 16 17 16 14 10 8 6 5 4 3 3 4 5 8 9 9 9 9 9 10 10 10 11 11 11 11 10 9 8 7 7 7 8 9 10 10 10 8 6 5 5 4 3 2 1 3 5 7 8 9 10 12 15 15 14 12 11 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 10 11 13 15 16 17 17 16 14 14 14 13 11 9 9 9 11 12 13 13 14 14 14 12 10 10 12 14 15 15 12 10 8 8 8 9 10 10 11 11 11 11 10 10 9 9 nan
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nan 11 10 10 10 11 11 12 12 13 13 13 13 12 12 11 10 10 11 12 13 13 12 12 11 11 11 10 10 10 10 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 10 10 9 8 7 7 7 7 8 11 13 15 17 17 16 16 16 17 18 19 20 18 17 14 11 8 7 8 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 12 12 12 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 nan
nan 9 8 8 8 10 12 13 14 14 14 13 13 12 11 10 10 11 12 12 13 12 11 11 11 11 10 10 10 10 10 10 11 11 11 12 12 12 12 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 8 7 7 7 9 11 13 15 16 17 16 16 15 15 17 17 17 16 14 12 10 9 9 9 10 10 10 11 11 11 11 11 11 10 9 9 9 9 9 10 10 10 10 11 11 12 12 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 11 11 11 12 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 9 9 10 10 nan
nan 6 5 4 5 8 12 15 16 17 16 15 14 12 11 11 11 11 12 12 12 11 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 10 9 9 9 9 10 11 11 10 10 10 10 10 10 10 10 10 9 8 8 8 9 10 11 13 14 15 15 15 15 16 17 17 16 15 13 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 10 10 10 10 10 10 11 11 12 12 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 9 10 9 9 8 9 10 10 11 11 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 11 11 11 11 10 10 11 11 12 12 12 11 11 10 10 10 10 10 11 10 10 11 11 11 11 10 10 10 9 9 9 10 10 nan
nan 6 3 2 2 6 11 15 18 19 18 16 15 13 12 11 11 11 11 11 11 10 10 10 10 11 10 10 10 10 11 11 11 11 11 11 12 11 11 11 11 10 9 9 9 10 10 11 11 11 10 10 9 10 11 11 11 10 10 9 9 9 9 9 10 11 12 12 13 14 15 16 18 19 19 17 15 13 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 9 9 10 10 11 12 12 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 8 8 9 10 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 10 11 12 12 12 12 11 11 11 10 10 11 11 11 11 11 11 11 11 10 10 10 9 9 9 10 10 nan
nan 7 4 2 2 6 12 16 18 18 16 15 14 13 12 12 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 10 10 9 10 11 11 11 10 9 9 9 9 9 10 10 10 10 11 11 12 12 14 16 18 20 19 17 16 15 14 13 12 12 12 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 10 10 9 9 10 10 11 12 12 12 12 12 12 12 13 13 13 12 11 11 10 10 10 10 11 11 11 11 11 10 10 10 9 8 8 9 10 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 nan
nan 9 6 4 4 7 11 14 15 14 14 13 13 13 12 11 11 10 10 10 10 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 10 10 10 11 10 10 10 10 11 10 9 8 8 7 7 8 10 11 12 12 11 11 11 11 11 11 12 14 16 18 18 18 17 17 16 14 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 12 12 12 13 13 13 13 12 11 11 10 9 9 10 10 11 11 11 11 11 10 10 9 9 9 8 8 9 9 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 10 10 11 11 10 10 10 10 10 10 nan
nan 10 8 7 6 7 8 10 12 13 14 14 13 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 10 11 11 10 9 7 6 5 4 5 8 12 14 15 15 13 12 11 11 11 10 10 11 13 14 15 17 18 19 18 17 16 15 13 12 11 11 11 11 10 10 10 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 12 12 11 11 10 9 9 10 11 11 11 11 11 11 10 10 10 9 9 8 8 8 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 10 10 10 11 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 nan
nan 10 9 8 6 5 5 7 11 15 16 15 14 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 8 5 3 3 3 5 10 14 17 19 17 15 13 12 12 11 10 10 10 11 11 12 14 16 18 19 19 19 17 15 14 14 13 12 12 12 12 11 11 11 11 11 12 12 12 12 13 13 12 12 12 11 11 11 11 11 12 12 12 13 13 13 13 13 13 12 12 11 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 10 10 10 11 11 12 12 11 11 11 11 12 12 11 11 10 10 10 10 10 10 10 10 nan
nan 10 10 8 6 5 6 8 12 15 15 14 12 11 10 10 10 10 10 10 10 10 10 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 10 10 10 9 7 4 3 2 3 6 11 14 18 20 19 16 13 12 11 11 11 11 11 11 11 11 11 13 15 17 18 19 19 18 18 17 16 15 15 15 14 13 13 13 13 13 12 12 12 13 13 13 13 13 13 12 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 10 10 11 11 11 11 10 10 11 11 12 12 11 11 10 10 10 10 10 10 10 10 nan
nan 10 10 9 8 8 9 10 12 13 12 11 11 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 10 10 8 5 4 3 4 7 10 13 16 18 17 15 13 12 12 12 12 12 12 12 12 11 11 11 12 13 14 16 17 18 19 19 19 18 18 17 16 16 15 15 15 14 14 13 13 13 13 13 14 14 13 13 12 11 11 11 11 11 11 11 12 13 13 14 14 14 13 13 12 12 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 10 9 7 5 3 3 6 9 12 16 17 16 15 13 12 11 11 12 12 12 12 12 12 12 12 11 10 10 11 13 14 16 17 18 19 19 19 18 18 18 17 16 16 15 14 13 13 13 13 14 14 14 14 13 13 12 11 11 11 11 11 12 12 13 13 14 14 14 14 13 12 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 11 nan
nan 10 10 10 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 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 11 11 11 12 12 11 11 10 8 5 3 4 7 11 15 18 17 16 14 12 11 10 11 11 11 11 11 11 12 12 11 11 9 9 8 9 10 12 13 14 16 17 18 18 18 19 19 18 17 16 15 14 14 14 13 14 14 14 14 14 14 13 12 12 12 12 11 11 12 12 13 14 14 15 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 10 10 10 10 11 11 11 nan
nan 10 10 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 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 8 6 5 6 9 13 17 18 16 14 12 10 9 10 10 10 11 11 11 11 11 11 11 11 10 9 9 9 9 10 10 11 12 13 15 16 17 18 18 19 18 18 17 16 16 15 15 15 15 15 15 15 15 15 14 14 13 12 12 12 12 12 12 13 14 15 15 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 10 10 10 10 10 10 9 9 10 10 10 10 10 10 11 11 11 11 10 10 10 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 nan
nan 10 10 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 10 10 10 10 10 10 10 10 11 11 10 9 9 9 10 11 13 15 15 14 12 11 10 9 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 12 14 15 16 17 17 18 18 17 17 17 17 17 17 16 16 15 16 16 16 15 14 14 13 13 12 12 12 13 14 15 15 15 13 12 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 11 11 10 10 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 9 9 9 9 10 10 10 10 10 11 11 nan
nan 10 10 10 10 10 10 11 11 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 11 11 10 10 10 10 11 12 13 14 15 15 16 16 17 18 18 19 19 18 17 16 16 16 16 16 15 15 14 14 13 13 13 13 13 14 15 16 15 13 12 11 11 11 10 10 10 10 10 10 11 11 11 11 11 12 12 12 13 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 nan
nan 10 10 10 10 10 11 11 11 10 10 10 11 11 11 10 10 10 10 10 10 10 10 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 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 11 11 12 12 13 14 15 17 18 19 19 19 18 17 17 16 16 17 17 16 16 15 15 14 13 13 13 14 15 16 15 15 14 12 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 12 13 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 10 10 9 9 9 9 9 9 nan
nan 10 10 10 10 10 10 11 10 10 10 10 11 11 11 11 10 10 10 10 10 10 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 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 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 13 14 16 17 18 18 18 18 18 17 17 17 17 18 18 17 16 16 15 14 14 15 15 15 15 15 15 13 12 12 11 11 11 11 10 10 10 11 11 10 10 10 10 11 12 12 11 11 11 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 10 10 10 11 12 11 10 10 9 9 9 nan
nan 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 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 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 12 13 15 15 16 17 17 17 17 17 17 17 18 18 17 17 17 16 16 16 15 15 15 16 15 14 13 12 12 12 12 12 11 11 11 11 11 11 10 10 10 11 11 12 11 10 10 11 11 11 11 11 11 11 12 11 11 11 10 9 9 10 10 11 11 11 10 10 10 11 10 11 11 10 10 10 11 12 12 11 11 11 10 10 nan
nan 10 10 10 10 10 10 10 10 10 10 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 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 11 11 10 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 9 9 9 9 10 10 11 12 13 14 14 15 16 16 16 16 16 17 18 19 19 18 17 17 16 15 16 16 15 15 14 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 12 11 11 10 10 11 11 11 11 11 11 11 11 12 12 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 12 12 12 11 nan
nan 10 10 10 10 10 10 10 10 10 10 11 11 11 12 11 11 10 10 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 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 11 12 14 15 14 14 15 17 18 20 21 20 19 19 18 17 17 16 15 15 15 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 10 9 10 10 11 11 11 11 11 11 11 12 12 12 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 nan
nan 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 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 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 7 8 9 10 11 12 12 12 14 16 18 20 22 22 22 21 20 19 18 16 16 16 16 15 14 14 13 13 12 12 12 12 12 12 12 12 13 13 12 11 9 9 9 9 10 10 10 11 11 11 11 11 12 12 12 11 11 10 11 11 11 12 12 11 11 11 11 11 11 11 12 11 11 11 12 12 12 11 11 11 nan
nan 11 11 11 10 10 10 10 10 11 11 11 11 11 11 10 10 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 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 7 8 8 9 11 13 16 19 21 22 22 22 21 20 20 18 18 17 16 15 15 15 14 13 12 12 11 11 11 11 12 12 13 13 13 12 11 10 9 9 9 9 10 11 11 11 11 11 11 12 12 12 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 nan
nan 11 11 11 11 10 10 10 10 11 11 11 11 11 11 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 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 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 9 8 7 6 5 6 6 7 8 9 12 16 18 20 20 20 20 21 21 19 19 18 17 16 16 16 16 14 12 11 10 9 9 10 10 11 12 13 13 13 13 12 10 9 9 9 10 10 11 11 11 11 11 11 12 12 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 nan
nan 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 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 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 7 6 5 6 7 7 7 7 9 12 13 14 14 15 16 18 18 18 17 18 17 16 17 17 16 15 13 11 9 8 7 7 7 9 10 12 13 13 13 13 11 10 9 9 9 10 11 11 11 11 11 12 12 12 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 nan
nan 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 11 10 10 10 11 11 11 11 11 11 11 11 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 10 10 10 9 9 9 10 9 9 8 7 7 9 10 9 8 7 7 8 8 9 9 9 10 12 13 14 16 16 15 15 16 17 17 17 16 14 12 9 7 6 5 6 8 9 10 11 12 12 11 11 10 9 9 9 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 nan
nan 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 11 10 11 10 11 11 11 11 10 10 11 10 10 10 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 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 8 8 9 10 11 10 9 7 7 7 7 7 7 7 7 9 10 12 15 16 16 16 17 18 19 20 20 18 15 12 9 7 5 5 6 8 9 10 10 11 11 11 10 9 9 9 10 10 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 11 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 10 10 10 9 9 9 9 9 9 9 9 8 8 9 10 10 9 9 8 9 9 9 8 7 7 7 8 11 14 17 18 18 20 21 21 21 22 22 21 19 16 13 8 4 4 5 7 9 9 9 9 10 11 11 10 10 10 10 10 11 11 12 13 12 11 11 10 11 12 12 12 12 12 12 12 11 11 11 11 12 11 11 11 11 11 12 11 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 10 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 10 10 10 11 11 10 10 10 10 10 10 10 9 9 10 9 9 9 9 9 8 8 8 8 8 8 8 9 10 10 10 9 9 9 9 9 10 12 15 16 18 21 21 20 22 25 25 25 23 20 16 10 6 5 5 7 8 7 7 8 9 10 10 10 10 10 10 10 11 11 11 12 11 11 11 10 10 10 11 11 11 11 11 12 12 11 11 12 11 11 10 10 10 11 12 12 12 12 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 7 7 7 7 7 8 9 9 9 10 10 11 11 11 9 9 8 9 10 11 14 14 16 22 27 28 28 28 24 19 14 11 9 8 7 7 6 5 6 8 9 10 10 10 10 10 11 11 11 11 10 10 11 11 10 10 10 10 10 10 10 10 11 12 12 12 12 12 11 10 10 10 11 12 12 13 12 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 10 10 10 10 10 10 9 9 9 9 8 7 7 7 7 7 7 7 9 10 10 11 11 12 13 14 13 11 8 6 5 4 3 4 5 11 21 26 29 32 32 28 23 19 17 14 11 9 8 6 5 5 6 8 9 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 12 12 13 13 13 12 11 11 11 11 11 12 12 12 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
2 3 3 3 2 1 1 1 3 4 6 9 15 17 15 12 9 8 15 24 25 22 21 20 19 18 18 19 21 19 17 10 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 1 2 2 2 2 2 3 5 7 9 9 11 15 19 25 31 35 39 42 46 51 57 67 82 128 197 265 373 468 509 541 600 693 836 982 1089 1116 1039 871 777 709 631 552 504 498 479 465 459 469 495 488 455 420 405 422 432 410 406 401 401 423 463 501 512 496 471 424 386 355 326 298 275 268 269 259 243 230 225 234 211 182 152 124 93 67 50 42 42 51 79 105 132 178 255 372 503 632 728 799 856 903 934 920 877 822 760 747 844 940 978 975 993 1100 1264 1423 1539 1612 1645 1654 1613 1531 1433 1323 1199 999 772 579 394
2 2 2 2 1 0 0 0 1 2 5 10 13 14 11 7 5 5 8 14 19 22 23 21 19 17 16 17 19 17 15 9 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 1 1 2 2 2 2 3 5 7 8 8 10 12 14 17 24 31 37 41 43 47 52 62 64 80 131 217 332 462 558 633 722 837 936 994 1029 1040 1005 954 921 864 777 688 613 555 492 441 431 486 540 509 465 438 437 450 429 392 374 369 371 385 409 462 498 503 492 442 379 339 315 290 265 261 261 254 243 237 229 219 202 180 153 135 93 67 44 24 9 3 16 41 74 115 163 248 365 498 622 711 761 803 850 886 900 889 823 804 836 886 926 920 936 1041 1200 1372 1520 1576 1600 1594 1553 1486 1416 1332 1226 1070 872 669 499
0 0 1 1 0 1 1 1 1 1 3 5 4 4 4 4 4 4 5 16 24 27 26 23 19 16 16 18 20 20 17 11 5 0 0 0 0 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 4 6 7 7 8 10 12 13 15 23 32 39 45 48 49 49 62 68 78 114 195 293 430 554 662 784 888 929 921 885 850 876 917 926 903 875 836 716 633 559 499 483 565 569 519 479 475 502 501 460 432 411 388 359 356 359 403 452 471 463 436 388 357 340 310 285 275 267 259 255 250 242 226 211 193 164 144 112 75 42 19 4 1 0 7 24 52 87 151 258 403 569 714 673 689 735 795 847 863 832 820 839 881 920 906 935 1011 1149 1378 1636 1751 1729 1648 1550 1474 1432 1363 1264 1139 983 780 597
0 0 0 0 0 0 0 0 1 2 3 4 3 2 3 3 3 4 8 13 17 21 23 22 19 18 19 21 23 24 20 13 6 0 0 0 0 0 0 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 4 6 6 6 9 11 13 16 19 28 37 44 51 56 61 55 58 68 87 123 200 247 329 433 540 658 742 774 780 774 761 767 781 782 786 784 730 682 645 615 583 546 569 540 496 457 442 469 481 475 472 461 423 357 353 348 360 389 415 417 401 371 345 332 317 302 294 284 272 267 266 262 246 234 237 215 166 113 67 35 16 6 1 0 0 2 7 23 65 140 255 427 611 634 622 631 695 761 793 806 818 839 873 895 899 908 939 1014 1285 1552 1735 1818 1809 1700 1604 1537 1463 1366 1246 1105 910 710
0 0 0 0 0 0 0 0 1 2 2 3 2 2 2 3 4 4 6 10 14 17 17 17 16 20 24 26 28 27 22 14 6 0 0 0 0 0 0 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 5 7 7 9 12 14 17 24 33 40 46 51 54 55 54 58 70 90 106 168 185 217 272 338 427 488 526 565 621 692 771 777 738 693 665 630 616 605 618 639 604 568 536 531 544 539 467 451 468 493 499 447 383 377 366 342 317 317 334 327 314 313 328 328 317 307 296 281 272 271 269 252 238 261 246 182 116 65 26 12 7 3 0 0 0 0 5 20 47 89 196 350 458 498 496 568 646 707 754 789 810 845 853 851 856 876 865 1076 1331 1595 1827 1961 1882 1789 1704 1622 1527 1379 1219 1032 828
0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 3 4 6 6 7 9 10 11 12 13 17 23 27 27 25 21 13 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 0 0 0 0 0 0 0 0 2 4 6 7 9 12 15 18 25 33 39 43 47 47 51 54 58 66 80 96 124 142 154 163 168 226 278 329 390 472 590 720 774 766 722 667 625 608 626 675 723 695 633 589 622 675 546 474 464 479 514 554 516 463 422 383 344 301 294 288 278 275 291 319 334 330 316 301 285 274 274 271 260 241 238 249 207 142 92 57 39 26 13 2 0 0 0 1 6 15 22 49 106 186 259 297 381 472 560 643 718 760 793 803 794 782 808 816 940 1135 1392 1707 1887 1917 1889 1828 1747 1671 1514 1337 1144 936
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