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 9 9 9 8 7 8 9 9 8 7 6 6 7 7 7 7 7 7 8 8 7 7 7 8 7 7 7 7 7 6 6 6 7 7 7 7 7 7 8 9 9 10 10 10 10 9 10 11 12 12 12 12 12 12 12 11 10 10 9 9 9 9 8 7 7 7 7 8 8 9 8 8 8 8 8 8 8 8 8 8 7 7 7 6 4 4 5 7 8 10 12 13 13 12 11 11 11 11 11 10 10 9 9 7 6 6 5 5 6 7 7 6 5 4 4 3 4 6 7 8 7 7 6 5 6 7 8 8 7 7 6 6 7 7 7 8 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 8 7 7 7 7 6 6 6 6 6 5 5 6 6 6 nan
nan 8 8 9 9 9 8 7 8 9 9 8 7 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 8 9 9 10 10 9 9 8 8 9 11 11 11 10 10 11 11 11 11 10 9 9 9 9 9 8 7 6 6 6 7 8 8 8 8 8 9 9 9 8 7 7 7 8 7 7 6 6 6 6 7 8 9 10 11 11 11 10 11 11 12 12 12 12 12 12 11 10 10 10 9 9 9 9 7 6 6 7 7 8 9 10 10 8 6 5 6 7 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 9 9 9 9 8 8 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 5 6 6 6 nan
nan 8 9 9 9 9 8 8 7 8 8 8 8 7 7 7 7 8 7 7 8 8 8 7 7 8 8 8 8 7 7 7 7 7 7 7 6 6 7 8 9 9 10 10 9 9 9 9 9 11 11 10 9 9 10 10 11 11 10 9 8 8 9 9 9 8 7 6 6 6 7 8 8 8 9 10 10 10 9 8 7 7 8 9 9 8 7 7 7 7 8 9 9 9 9 10 9 9 9 11 11 11 11 12 13 13 14 14 15 17 16 15 14 13 11 10 10 11 12 13 13 12 10 8 6 4 5 6 7 7 6 6 7 7 7 7 8 8 7 7 7 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 9 8 8 8 8 8 7 7 6 6 6 6 6 6 7 nan
nan 8 9 9 9 9 9 8 7 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 7 7 7 7 7 7 8 8 9 11 12 11 10 9 9 9 9 10 11 12 12 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 7 6 6 7 8 8 9 10 10 10 9 8 7 7 8 9 9 8 7 7 8 7 7 9 10 10 9 9 9 9 9 9 10 9 9 9 9 10 10 11 14 16 17 19 19 17 15 13 13 12 12 13 14 13 11 9 7 6 5 6 6 6 6 5 6 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 9 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 8 8 8 7 7 7 7 7 7 8 8 nan
nan 8 8 9 9 10 9 8 8 7 8 8 8 8 8 7 7 8 8 8 8 8 8 7 7 7 7 8 8 7 7 8 8 9 10 12 12 13 14 13 11 9 7 7 8 9 11 12 12 11 10 9 8 8 9 9 10 10 10 9 9 9 9 9 9 8 9 8 7 6 7 8 8 8 9 9 8 7 6 6 7 8 8 7 6 5 5 6 7 8 10 10 10 10 10 9 10 10 10 10 9 8 7 7 7 7 8 10 12 13 14 15 15 13 12 12 12 11 11 12 11 10 9 8 8 8 9 9 9 9 9 10 11 11 11 10 9 9 8 8 7 7 7 7 7 9 9 9 9 9 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 6 6 7 8 8 8 8 nan
nan 7 7 8 9 9 10 9 8 8 8 8 9 9 9 8 8 8 8 9 9 9 8 8 7 6 7 7 8 9 9 10 11 13 14 14 14 13 12 11 9 7 6 6 7 9 11 12 12 12 10 10 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 8 7 6 6 7 8 8 8 8 8 7 6 7 7 8 7 6 5 4 4 5 6 8 9 10 10 10 10 10 10 10 11 11 10 10 9 8 7 7 7 7 8 9 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 11 12 12 12 12 13 14 14 14 13 12 11 9 9 8 8 8 7 7 8 8 8 8 8 7 6 6 6 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 7 6 6 7 8 9 9 8 7 7 nan
nan 8 8 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 8 9 10 11 12 12 12 13 13 13 12 11 9 8 7 6 5 6 7 9 10 12 13 12 11 10 10 10 10 9 9 9 9 9 8 8 8 9 9 10 10 9 7 6 6 7 7 8 8 8 7 7 7 8 8 8 8 7 6 5 4 4 5 7 8 9 9 10 10 10 10 10 11 11 11 11 11 10 9 8 7 7 7 8 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 14 14 15 14 13 12 11 10 9 8 8 8 7 7 7 7 6 6 6 5 5 5 6 6 6 6 6 7 7 7 7 7 8 7 7 6 6 6 7 7 7 7 7 7 7 6 6 5 7 9 10 10 8 7 7 7 nan
nan 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 9 9 10 10 11 12 12 12 11 11 10 10 11 12 12 11 11 10 9 10 10 8 7 7 7 6 6 7 8 9 10 11 11 11 10 9 9 9 10 10 9 9 9 8 7 6 6 7 7 9 9 9 8 7 6 6 7 7 7 7 6 7 8 8 8 8 8 8 7 7 6 6 6 6 6 7 8 8 9 9 9 10 10 10 10 10 10 10 9 8 8 7 8 8 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 10 10 9 8 8 8 8 8 8 7 7 7 8 9 9 8 8 7 7 7 7 6 6 7 7 6 6 6 6 7 8 9 9 8 8 7 7 6 7 8 10 11 11 9 7 7 8 9 nan
nan 10 10 10 10 10 11 11 12 12 11 10 10 10 10 9 9 9 9 10 11 13 14 15 14 13 12 11 11 10 10 9 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 6 5 5 5 6 8 9 9 9 8 7 7 7 7 6 6 7 8 8 8 8 8 8 8 7 7 7 7 6 6 6 7 8 9 8 8 9 9 9 9 9 9 9 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 11 10 10 11 11 11 12 13 13 14 15 16 15 13 12 11 10 9 9 8 8 8 8 8 8 8 9 10 10 11 10 9 9 9 9 9 10 12 12 12 10 9 9 10 12 13 nan
nan 10 10 10 10 10 10 11 11 11 10 10 10 9 9 8 8 8 8 9 11 13 14 15 15 14 12 11 10 9 8 8 7 7 6 6 7 8 8 7 7 7 8 9 9 8 8 8 7 7 7 7 7 8 8 8 7 7 7 8 8 7 5 5 4 4 5 7 9 10 9 7 7 7 7 7 7 8 8 8 8 7 8 8 8 8 8 8 8 7 7 8 9 10 9 8 7 8 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 9 9 9 9 10 10 11 12 13 14 15 16 16 15 15 15 15 15 15 15 16 16 18 20 21 21 21 21 19 17 17 16 14 13 13 12 12 12 12 11 12 13 13 13 13 12 12 12 13 13 14 14 13 13 13 13 14 16 17 16 15 nan
nan 10 10 9 9 9 9 10 10 9 8 9 9 9 9 8 7 7 8 9 10 11 12 13 13 13 13 11 9 8 7 7 7 7 6 6 7 8 8 7 7 8 9 10 9 8 7 7 8 7 7 7 8 8 8 8 7 6 7 8 8 7 6 5 5 4 4 5 7 9 9 8 7 7 7 7 7 8 9 8 7 7 8 9 9 8 8 8 9 9 9 9 11 11 9 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 8 8 9 9 10 11 12 14 16 18 18 19 18 18 18 18 18 18 17 18 19 20 21 21 22 23 23 22 21 20 20 18 17 16 16 16 17 17 16 16 16 17 17 16 16 16 16 16 16 17 16 15 15 16 17 19 20 20 17 14 nan
nan 10 9 8 7 8 8 8 8 7 7 8 8 8 8 8 8 9 10 10 11 10 10 10 11 12 13 11 9 8 8 8 7 6 6 7 8 8 7 7 8 9 10 10 9 8 8 8 8 8 7 7 8 8 8 7 7 7 7 7 8 7 6 6 6 6 5 5 5 7 7 7 7 7 7 6 6 8 9 8 7 7 9 9 9 9 8 9 9 9 9 9 10 11 9 8 8 7 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 7 7 8 9 9 10 10 11 13 15 17 17 18 18 18 19 19 19 17 16 16 17 16 16 17 18 19 20 21 21 21 21 20 19 19 19 19 20 20 19 19 19 19 20 20 19 19 19 19 19 19 18 18 18 19 19 20 19 17 15 12 nan
nan 10 9 8 7 7 8 8 8 7 8 8 8 8 8 8 9 10 11 11 10 9 8 9 10 11 12 11 9 8 8 8 7 6 6 8 8 7 7 7 8 9 9 9 8 8 8 8 9 9 8 7 7 8 8 7 7 7 7 7 7 7 7 7 6 7 6 6 5 6 7 7 7 7 7 6 7 8 8 8 7 7 9 10 9 8 8 9 9 9 9 9 9 9 9 9 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 9 9 10 10 10 10 10 11 12 13 13 14 15 16 17 16 14 13 13 13 12 11 11 12 13 15 16 17 18 19 19 20 19 20 20 21 21 20 20 20 19 20 20 20 20 20 20 19 19 19 19 18 19 19 19 18 16 15 13 nan
nan 10 9 8 8 8 8 9 9 9 9 9 8 8 8 8 9 10 10 10 9 8 8 8 9 10 11 11 9 9 8 7 7 6 7 7 7 6 7 7 8 8 8 8 7 7 8 8 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 6 6 7 8 8 7 7 8 9 10 9 9 9 9 10 10 9 8 8 9 9 9 9 8 7 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 5 5 6 6 7 8 8 9 9 10 10 10 9 8 8 7 7 8 8 8 9 11 11 12 11 10 10 10 10 9 8 8 9 11 12 13 14 15 16 17 17 18 18 19 19 19 18 18 17 16 16 17 16 16 16 16 15 15 16 15 15 15 16 16 16 16 15 nan
nan 11 10 10 10 10 10 10 10 10 9 8 8 8 8 9 9 9 9 9 8 8 8 8 9 10 10 11 10 8 7 7 7 7 7 7 6 6 7 8 8 7 7 7 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 7 7 7 6 6 8 9 9 9 9 9 10 10 10 9 8 8 9 9 8 8 8 7 7 7 6 6 6 6 6 6 6 6 5 5 4 4 4 3 4 4 4 4 5 6 7 7 8 9 9 10 10 10 10 10 9 7 6 5 4 4 4 5 5 6 7 7 7 7 8 8 9 8 7 7 7 8 9 10 10 11 12 12 12 12 12 13 13 13 13 12 11 10 9 10 10 9 9 9 8 8 9 9 9 9 10 12 13 14 15 nan
nan 12 12 12 11 10 10 10 9 9 8 8 7 7 8 8 9 9 9 8 8 8 8 8 8 9 10 10 10 9 8 8 8 8 7 7 7 8 9 9 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 7 6 7 7 7 7 7 7 7 7 7 8 9 9 9 8 8 9 10 10 9 8 8 9 8 8 8 8 8 9 8 7 6 6 6 6 6 6 5 5 4 4 3 3 3 3 4 4 5 6 6 7 8 8 9 9 10 10 10 10 9 8 7 5 4 3 3 3 3 3 3 3 4 4 5 5 6 6 6 6 6 5 6 6 6 7 7 7 6 6 5 4 4 5 6 6 5 5 4 3 3 3 3 2 2 2 2 2 3 3 3 4 5 7 9 11 nan
nan 12 12 12 10 9 9 8 8 8 8 7 7 7 7 8 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 9 8 7 7 8 9 10 10 9 8 7 7 7 7 6 6 6 6 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 7 6 6 7 7 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 9 9 9 8 7 6 6 6 6 5 4 4 3 3 3 3 3 3 4 5 5 6 7 7 7 8 8 8 8 8 9 9 9 8 7 6 4 4 3 3 3 2 2 2 2 2 3 3 4 4 5 5 4 4 3 3 3 3 3 3 3 3 3 2 0 1 1 1 1 1 1 0 -0 0 0 -0 -0 -0 -0 0 1 1 1 1 1 3 4 6 nan
nan 10 10 10 10 8 8 8 8 8 8 8 7 7 7 8 9 9 9 8 8 8 8 8 9 9 8 9 9 10 10 9 8 7 7 7 8 9 10 10 10 9 8 7 7 6 6 5 6 6 7 7 8 8 8 7 8 9 9 9 9 9 8 8 8 8 7 7 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 10 10 10 9 9 9 9 10 9 7 6 6 5 5 5 4 3 3 3 2 2 3 3 4 5 5 6 6 6 6 6 6 6 6 7 7 8 8 8 7 6 6 5 4 3 3 3 2 2 2 2 2 3 3 4 4 4 3 3 2 2 2 2 2 2 3 4 4 4 4 3 2 2 2 2 2 2 2 2 1 2 2 2 3 3 4 4 4 3 3 2 3 3 nan
nan 9 10 10 10 9 8 8 8 8 8 8 8 8 8 9 10 9 9 8 8 8 8 8 9 8 8 9 9 10 10 9 7 7 7 8 8 9 9 10 10 9 9 8 7 7 6 5 6 6 7 8 8 8 7 7 8 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 8 8 7 8 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 10 10 10 9 9 9 10 9 7 6 6 5 5 4 4 3 3 3 2 2 3 3 4 4 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 6 6 5 4 4 4 3 3 3 3 3 3 4 4 4 4 3 3 2 2 2 1 1 2 3 5 5 6 7 6 5 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 5 4 3 nan
nan 10 11 11 10 9 8 8 7 7 8 8 8 8 8 9 10 9 9 8 8 8 8 8 8 8 8 9 9 10 10 9 8 8 8 8 8 8 10 10 10 10 9 9 8 8 7 6 6 7 7 8 9 8 7 7 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 8 8 7 7 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 9 10 9 9 9 9 9 9 8 7 7 6 5 5 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 2 2 2 3 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 nan
nan 10 10 10 10 9 8 7 7 7 8 8 8 8 8 9 10 10 9 8 8 8 8 8 8 8 8 9 10 10 10 9 8 9 9 8 8 9 10 11 11 11 10 10 10 9 8 7 7 7 8 9 9 7 6 7 7 8 8 8 9 9 9 9 9 9 8 8 7 7 8 8 8 8 8 8 7 7 6 6 6 6 7 7 7 8 8 8 8 8 8 8 7 7 8 8 9 9 10 10 9 8 9 9 8 7 6 6 6 5 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 4 4 4 nan
nan 10 10 10 10 10 9 8 7 7 8 8 8 8 9 10 11 10 9 8 8 8 8 9 8 8 9 9 9 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 10 9 9 8 8 8 8 9 8 6 6 6 6 7 7 8 8 8 7 8 8 9 8 7 7 7 7 8 8 8 8 8 8 7 6 6 6 6 7 7 7 8 8 7 7 7 7 7 7 6 7 7 8 9 10 9 8 8 8 8 8 8 7 7 7 6 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 4 4 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 nan
nan 9 10 10 11 10 9 8 8 7 7 8 8 9 9 11 11 10 9 9 8 8 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 11 10 9 9 8 9 9 9 8 7 6 6 6 6 6 7 8 8 8 7 7 8 8 8 7 7 8 8 8 9 8 8 8 8 7 7 6 7 7 7 7 7 8 7 7 6 7 7 7 6 6 7 7 8 9 8 8 8 7 7 7 7 7 7 7 7 7 7 6 5 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 7 7 8 8 8 8 7 7 7 6 6 6 6 6 6 6 5 5 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 nan
nan 9 9 10 10 10 9 8 8 8 7 7 8 9 9 10 11 10 10 9 9 9 9 9 9 9 9 9 8 9 10 10 10 9 8 7 7 8 8 8 8 8 9 9 9 8 8 9 9 10 10 9 8 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 6 6 7 7 7 7 8 8 8 8 7 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 7 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 5 4 4 4 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 nan
nan 9 9 10 10 10 9 9 8 8 7 7 7 8 8 9 10 11 10 10 10 10 10 9 9 9 9 9 9 9 10 9 9 8 7 6 6 6 7 7 7 8 8 7 7 8 8 8 9 10 10 10 9 9 8 8 7 7 7 8 8 8 8 8 9 8 8 7 7 8 8 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 7 7 7 7 8 9 10 10 9 8 7 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 7 7 8 8 8 8 8 7 7 6 6 6 6 5 6 6 5 5 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 5 5 5 5 6 6 6 nan
nan 9 9 9 10 10 10 9 9 8 7 7 7 7 7 8 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 9 9 8 7 7 6 6 6 7 7 8 7 7 7 7 8 8 9 9 10 10 9 8 7 7 6 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 7 7 8 8 8 8 8 8 8 7 6 6 7 7 8 8 8 8 9 9 10 10 9 9 9 8 7 7 7 7 7 7 6 6 7 7 7 8 8 9 9 10 10 10 9 8 8 7 7 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 7 8 8 8 7 7 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 9 9 9 9 10 10 9 9 8 8 7 7 7 7 7 9 10 10 9 9 10 9 9 9 10 10 11 11 11 10 10 10 9 9 8 7 6 6 6 7 7 7 6 7 8 8 8 9 9 10 10 9 7 6 6 6 6 6 7 7 8 8 8 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 7 7 6 7 7 8 8 8 8 9 10 10 10 10 10 9 9 8 8 8 8 8 7 6 6 7 8 8 8 8 8 8 9 11 12 12 12 11 10 10 10 9 8 7 6 5 5 4 4 4 3 3 3 4 4 4 5 5 5 6 6 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 nan
nan 10 10 9 10 10 11 10 9 9 8 8 8 7 7 8 9 10 10 9 9 9 10 9 9 10 10 10 10 11 11 11 11 10 10 9 8 7 6 6 6 6 6 6 7 7 8 9 9 10 11 11 10 8 7 6 6 5 5 6 6 7 7 6 7 7 7 7 7 7 8 8 8 9 10 10 9 9 9 9 8 7 7 7 7 7 7 7 7 8 8 9 10 10 10 10 10 9 9 9 9 9 8 7 6 6 7 7 7 7 7 7 8 8 9 10 12 13 13 14 14 15 15 13 11 9 7 6 5 4 3 3 3 4 4 5 5 5 5 6 6 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 11 10 10 10 11 11 10 10 10 9 9 8 8 8 8 9 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 11 10 10 10 9 8 7 6 7 7 7 7 7 8 9 10 11 12 13 12 11 10 8 8 7 6 6 6 6 6 6 5 6 7 8 7 7 6 6 7 9 10 11 11 10 10 9 9 8 8 7 8 8 7 7 7 8 8 8 8 9 9 10 10 10 10 10 10 9 9 8 8 7 8 8 7 7 7 7 7 7 8 8 8 10 12 13 15 16 17 17 17 14 11 8 7 5 4 3 3 3 4 5 5 5 5 6 6 7 7 8 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 4 4 4 4 3 4 3 3 3 3 3 3 3 4 nan
nan 11 11 10 10 11 11 11 10 10 10 9 9 8 8 8 9 10 10 9 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 11 10 8 7 7 7 7 7 8 8 9 10 11 11 13 13 13 12 10 9 8 8 7 7 7 7 7 7 6 7 7 7 7 6 5 4 6 8 10 11 11 11 10 9 9 9 8 8 8 8 8 8 8 9 9 9 8 8 9 9 10 10 10 10 9 8 7 7 8 8 8 7 7 7 7 8 7 8 7 7 8 9 10 11 13 13 13 12 11 11 9 8 7 6 4 3 3 4 5 5 6 6 6 7 7 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 nan
nan 11 10 10 9 10 10 10 11 11 11 10 9 8 8 8 8 9 10 10 9 8 7 7 8 8 9 8 8 9 9 9 9 10 11 11 10 8 7 7 7 7 7 8 9 10 11 11 11 12 13 13 12 10 9 8 8 8 8 8 7 7 8 8 7 7 6 6 5 4 4 6 7 8 10 10 10 10 9 9 9 9 9 9 8 9 9 10 10 10 9 9 9 9 9 9 9 9 8 7 6 6 7 9 10 8 8 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 7 5 5 6 6 6 6 5 4 4 4 5 6 6 6 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 6 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 nan
nan 11 11 10 9 9 9 10 10 11 11 11 10 9 8 7 7 8 10 10 10 8 8 7 7 7 8 8 8 8 9 9 9 10 11 11 10 8 7 7 7 7 7 7 7 8 10 10 11 11 12 12 11 10 9 9 9 9 10 9 8 7 8 8 8 8 6 5 4 3 5 6 6 6 7 9 9 9 9 8 9 9 9 8 9 10 10 11 11 10 10 10 9 8 8 8 8 8 7 5 4 6 9 11 11 10 8 8 9 9 9 8 8 8 8 8 9 8 9 8 8 7 5 4 4 5 6 7 6 6 5 5 5 5 6 6 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 6 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 nan
nan 11 11 10 9 9 10 10 10 11 11 11 10 9 8 8 8 9 10 11 11 10 9 8 7 7 7 7 8 8 9 9 9 10 10 10 10 9 9 8 7 7 7 7 7 7 8 9 10 10 11 11 10 9 9 9 9 10 10 10 9 8 8 9 9 8 7 5 4 4 5 6 6 5 6 7 8 8 7 7 8 9 8 8 8 10 11 11 11 11 11 10 9 8 7 7 8 7 6 5 5 8 11 12 12 10 9 9 9 9 9 9 8 8 7 8 8 8 8 8 7 5 4 5 6 8 10 10 9 7 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 8 7 5 4 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 4 nan
nan 12 12 11 10 10 10 10 11 11 11 11 11 10 9 9 9 9 11 12 12 11 10 9 8 7 7 7 7 8 8 9 9 10 10 11 11 11 11 11 9 8 7 7 7 8 8 9 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 8 7 6 6 6 7 7 7 5 5 6 7 7 7 7 8 9 8 8 8 9 10 11 11 12 12 11 10 9 8 8 8 8 7 7 7 9 11 11 11 10 10 9 9 9 9 9 9 8 7 7 8 8 8 7 6 5 6 9 12 15 16 15 13 11 9 9 8 8 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 9 9 10 10 10 10 9 8 7 5 4 3 3 3 3 3 2 2 3 3 3 3 3 3 3 4 4 nan
nan 11 12 11 10 10 10 10 11 11 12 12 11 11 10 9 9 9 10 12 13 12 11 10 9 8 8 8 8 8 9 9 9 9 10 11 12 13 14 14 12 9 8 8 8 8 8 9 9 9 9 9 10 10 9 8 8 7 7 6 6 6 5 6 7 8 8 8 7 7 8 9 8 6 5 6 7 7 6 7 8 9 9 8 7 7 9 11 12 13 13 13 11 11 10 10 10 10 9 9 9 10 10 10 10 11 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 9 11 14 17 19 18 17 16 14 13 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 9 9 7 6 5 4 3 3 3 2 2 2 3 3 3 3 3 3 3 4 4 nan
nan 10 11 11 10 10 10 10 10 11 12 12 11 11 10 10 9 9 10 11 12 12 10 9 8 8 8 8 9 10 10 10 10 10 11 12 13 13 14 14 14 12 11 10 10 9 8 8 8 8 8 9 10 11 10 10 9 8 7 7 7 5 5 6 8 9 9 9 8 8 9 9 8 6 5 6 7 7 6 7 8 9 8 7 7 7 9 10 12 13 13 13 12 12 12 12 12 11 11 11 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 8 9 9 11 13 15 15 15 15 15 15 14 13 12 12 13 14 14 14 13 12 12 12 13 12 12 12 12 11 11 11 10 10 10 9 9 8 8 8 8 9 9 9 9 10 10 10 9 8 7 6 5 4 4 3 3 2 2 2 3 3 3 3 3 3 4 4 4 nan
nan 10 10 10 10 10 10 10 10 10 11 11 11 10 9 9 9 9 10 10 10 10 10 9 8 8 7 7 8 10 11 11 11 11 12 12 12 12 12 13 15 16 16 14 11 9 7 7 7 8 8 9 10 11 11 10 10 10 10 10 10 9 9 9 10 11 10 10 9 9 9 9 7 6 6 6 7 7 6 7 8 8 8 7 7 8 9 10 10 10 11 11 12 12 12 12 12 12 12 11 11 11 11 12 12 12 11 11 11 11 11 11 10 11 11 11 11 11 10 10 11 11 12 12 12 11 12 13 13 12 10 10 13 15 16 16 16 15 14 14 15 15 15 15 15 14 14 13 13 12 12 11 10 9 9 9 8 8 8 8 8 8 9 9 9 9 8 7 6 5 5 4 3 3 3 2 2 3 3 3 3 3 3 4 4 4 nan
nan 9 10 10 10 10 10 10 9 10 10 10 10 10 9 9 9 10 11 10 10 10 10 9 9 9 8 7 7 9 10 11 12 12 12 13 12 11 10 10 12 15 15 13 10 7 7 7 7 7 7 8 9 9 10 10 11 12 12 12 12 12 12 12 12 12 11 10 9 9 9 8 7 7 7 8 8 7 7 7 8 8 7 7 7 8 9 9 8 8 9 9 10 10 10 11 11 11 11 11 10 10 10 11 12 12 11 11 11 11 11 11 11 11 12 12 13 13 12 11 12 12 12 12 10 10 10 11 11 8 6 8 14 17 18 19 18 17 17 17 17 18 18 18 18 17 17 16 15 14 13 12 11 11 10 9 9 9 8 8 8 8 8 9 9 9 8 7 6 6 5 4 3 3 3 2 2 2 2 3 3 3 4 4 4 4 nan
nan 9 10 10 10 10 10 9 9 10 10 10 10 10 9 9 10 11 12 11 11 10 10 10 10 10 9 8 8 8 8 9 11 12 12 12 12 11 9 8 8 7 7 6 6 6 6 6 6 7 7 8 8 8 8 8 9 11 11 11 11 12 13 13 12 11 10 9 9 9 9 9 8 8 8 9 9 9 8 8 8 7 7 7 8 9 9 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 9 10 10 10 10 11 11 11 11 12 12 13 14 15 14 13 13 13 13 11 7 6 8 10 11 8 6 11 17 20 22 22 20 20 19 19 20 20 20 21 20 20 19 18 17 16 15 14 14 13 12 11 11 10 9 9 9 9 9 10 10 10 9 8 7 6 5 4 3 3 2 2 2 2 3 3 3 4 4 4 4 5 nan
nan 9 9 9 9 10 9 9 9 9 10 10 10 10 10 10 10 11 13 13 12 11 10 10 10 10 10 10 9 8 7 8 10 11 12 12 12 12 10 9 7 5 4 4 5 6 7 7 7 7 7 8 8 8 8 7 8 8 9 10 10 10 11 12 11 11 11 10 10 10 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 8 8 8 7 7 6 6 6 7 8 8 7 7 8 8 8 8 7 7 7 8 8 9 9 10 10 10 10 11 12 13 13 13 13 12 12 13 12 8 4 2 5 10 13 12 14 18 22 23 24 24 23 22 21 21 21 21 21 21 21 20 20 19 18 17 16 16 16 15 15 14 13 12 11 11 10 10 10 10 11 10 10 9 7 6 5 4 3 2 2 2 2 2 3 3 4 4 5 5 5 5 nan
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nan 9 9 8 8 8 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 9 9 10 11 10 7 6 7 9 9 9 8 9 10 10 11 10 10 10 10 9 9 9 8 8 9 10 10 10 10 10 10 10 9 8 7 7 8 8 9 9 9 9 9 9 8 6 6 5 6 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 12 14 13 11 9 8 8 8 8 9 10 11 12 12 12 12 12 12 12 11 11 11 10 9 9 9 10 12 14 15 15 14 12 12 13 15 17 19 19 19 16 13 10 10 11 11 11 10 9 9 8 8 10 11 13 14 14 13 12 11 11 11 12 14 17 20 23 24 23 nan
nan 7 7 7 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 11 11 11 11 11 11 12 11 11 11 11 11 11 12 12 12 11 10 9 9 10 11 10 8 7 7 8 9 9 9 9 9 10 10 10 10 10 10 10 9 8 9 9 10 11 11 11 11 11 11 10 9 8 8 8 8 8 9 9 8 9 9 8 8 7 6 6 6 7 7 7 8 9 9 8 8 8 8 8 9 10 10 10 10 9 9 12 13 13 12 10 8 8 8 9 9 10 11 11 11 11 12 13 14 13 12 11 10 8 7 6 7 8 10 10 11 10 8 6 5 4 5 7 9 10 9 7 6 8 11 13 12 10 9 9 8 8 9 10 11 12 14 15 14 14 13 12 12 12 13 15 19 22 23 22 nan
nan 5 6 7 8 8 8 9 9 9 8 8 8 8 7 7 7 7 6 6 6 7 7 7 7 7 8 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 10 10 9 10 10 10 10 10 9 8 9 9 10 10 9 9 9 10 10 10 10 10 10 9 9 9 10 11 12 12 12 12 12 12 11 9 9 9 9 9 9 8 7 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 9 11 13 14 13 10 8 8 9 10 11 12 12 11 10 11 12 13 13 12 11 9 7 6 5 5 7 9 11 11 11 10 10 10 9 7 3 2 2 1 -0 -1 2 7 11 11 9 8 8 9 9 10 10 10 11 12 13 14 14 15 15 14 13 13 12 14 17 20 21 22 nan
nan 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 7 7 7 7 7 8 9 11 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 9 9 10 10 11 12 13 13 13 12 12 11 10 10 9 9 10 10 8 6 5 5 5 6 7 8 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 10 11 12 13 11 9 8 9 10 12 13 13 12 11 10 11 12 12 11 9 7 6 5 4 4 6 9 11 12 12 12 12 14 15 16 15 12 10 8 6 4 5 8 11 12 9 9 10 11 12 12 12 11 11 11 11 12 13 15 17 17 16 14 13 12 13 15 16 19 20 nan
nan 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 7 7 7 7 7 8 8 9 11 11 11 10 10 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 9 10 10 10 10 9 9 10 10 12 13 13 13 13 12 12 11 10 10 10 10 10 10 9 7 5 5 5 6 7 8 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 10 10 10 11 11 10 9 8 8 10 11 12 12 12 11 10 10 11 12 11 8 6 4 4 5 5 7 8 9 11 11 12 12 12 13 14 16 17 18 18 17 16 16 18 19 20 18 16 16 16 17 16 16 15 13 12 12 12 13 16 18 19 16 14 13 13 12 12 12 13 15 17 nan
nan 9 9 8 8 7 7 8 8 8 8 8 8 7 7 7 7 7 8 8 9 8 8 8 9 10 11 11 10 9 9 9 9 10 10 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 9 8 7 6 6 7 10 12 14 14 13 12 11 10 10 10 9 9 10 11 10 9 7 6 6 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 10 9 9 8 7 8 9 10 11 11 11 11 11 11 12 12 12 10 6 4 4 6 8 9 10 10 10 11 11 12 11 11 11 11 12 13 15 17 18 18 19 21 22 22 21 21 21 21 21 21 20 18 16 15 14 14 16 19 19 16 13 11 12 12 12 11 10 10 11 13 nan
nan 10 10 9 8 7 7 7 7 8 8 8 8 7 7 7 7 8 9 9 9 9 9 9 10 10 10 9 8 7 7 8 9 9 10 10 11 11 11 11 10 10 9 10 10 10 11 11 12 12 12 12 11 10 10 10 12 12 12 12 12 12 12 11 8 4 2 1 1 3 7 12 15 15 14 12 9 7 7 8 8 9 9 10 10 9 7 6 6 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 10 9 9 8 8 8 8 9 9 9 10 10 10 12 13 14 15 14 12 9 6 5 6 8 11 12 12 12 12 12 11 11 11 11 10 10 10 10 11 12 13 14 15 15 15 16 16 17 18 19 19 20 20 18 17 18 18 17 17 17 15 11 9 10 12 13 12 10 9 8 8 9 nan
nan 11 10 10 9 8 8 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 8 8 9 10 9 7 6 5 6 8 8 9 9 9 10 11 11 11 10 9 9 9 9 10 10 10 11 12 13 13 12 11 11 11 12 12 12 12 12 12 10 6 2 -1 -2 -1 2 6 11 16 17 15 13 9 6 4 3 4 4 6 8 9 9 8 7 6 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 10 10 10 10 10 9 8 8 8 8 8 8 8 9 10 10 11 12 14 16 17 16 14 10 7 6 7 8 10 11 12 13 13 14 13 12 12 11 11 10 10 10 9 9 9 10 10 10 10 10 11 11 12 12 13 14 14 14 15 16 18 18 15 14 13 12 12 12 13 14 13 11 9 7 7 8 9 nan
nan 11 11 11 10 9 8 7 7 7 7 7 7 6 7 8 8 9 10 10 9 9 8 8 8 8 7 6 4 4 5 8 9 10 10 9 10 10 10 10 10 9 9 9 9 9 9 9 10 11 13 14 13 12 11 11 11 12 12 11 11 10 6 2 -0 -0 2 4 8 11 14 15 15 13 11 8 5 2 -0 -1 0 3 6 8 9 9 8 8 8 8 8 7 7 8 8 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 9 8 7 7 7 7 7 7 8 9 11 12 13 14 17 18 17 15 11 7 6 6 7 9 10 11 12 13 14 15 14 13 13 12 11 10 10 9 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 13 14 13 11 10 12 13 13 12 11 9 8 6 5 5 7 9 10 nan
nan 11 11 11 10 9 8 8 7 7 6 6 6 6 7 7 8 9 10 10 10 9 8 7 7 7 6 4 3 3 5 8 10 12 12 11 10 9 9 9 10 9 9 9 9 9 9 8 9 10 12 13 13 12 11 11 11 10 10 9 9 8 5 4 4 7 10 11 13 14 15 14 12 11 11 9 6 3 -1 -2 -1 2 5 7 8 8 8 8 8 8 7 6 7 7 7 7 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 8 8 7 7 7 7 7 7 7 8 9 11 12 13 14 16 18 17 15 11 7 5 6 7 8 9 10 10 12 13 15 15 15 14 14 12 11 10 9 7 6 7 8 9 10 11 11 11 11 10 10 10 10 10 9 9 10 10 10 9 8 9 10 11 9 5 2 1 1 2 3 5 8 10 11 nan
nan 11 12 11 11 10 9 8 8 8 7 7 6 6 6 7 8 9 10 10 9 8 8 7 7 6 5 4 3 2 4 7 10 13 14 13 12 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 11 11 11 10 9 7 7 9 10 9 10 12 15 17 17 17 17 16 14 11 11 11 11 9 5 2 1 2 4 6 8 8 7 6 7 7 6 6 6 7 7 6 6 7 9 10 10 10 10 10 10 10 10 10 10 9 9 8 6 5 5 6 7 7 8 8 9 11 12 13 13 13 14 16 16 14 11 7 5 6 7 9 10 10 10 11 11 13 15 15 15 14 13 11 10 9 7 5 5 6 7 9 11 13 12 12 10 9 9 9 9 9 9 9 9 9 9 8 7 8 8 7 2 -2 -3 -2 1 4 6 8 10 11 11 nan
nan 11 12 12 11 10 9 8 8 9 9 8 7 7 6 7 7 8 9 9 8 8 8 8 7 6 5 4 3 2 3 5 8 12 15 15 14 11 9 9 9 9 9 9 9 9 9 9 9 10 9 9 8 8 9 10 10 9 7 8 10 12 13 14 16 18 18 18 17 17 15 13 12 12 12 12 10 7 5 4 5 7 9 9 8 7 6 6 6 5 5 5 5 6 5 6 8 9 10 10 9 9 10 10 11 11 10 10 9 8 7 6 6 6 7 8 8 9 11 12 13 13 13 12 13 14 14 13 10 8 7 7 8 9 10 10 10 10 10 12 13 14 14 14 13 12 11 10 8 5 4 5 6 7 10 13 14 13 12 10 8 8 9 8 8 7 8 9 10 9 8 8 8 6 2 -3 -4 -2 3 6 8 9 11 11 10 11 nan
nan 11 12 12 12 11 10 9 8 8 9 8 7 7 7 7 7 7 8 7 7 8 8 8 6 5 5 5 4 2 2 3 6 10 14 16 15 13 11 10 9 9 9 9 10 10 10 10 10 10 8 6 5 6 8 9 9 9 8 9 11 12 14 14 15 15 15 14 13 12 12 12 13 13 14 13 11 9 7 7 8 9 10 9 8 8 7 7 7 5 3 2 1 2 4 5 7 8 9 8 8 8 9 10 10 10 10 9 8 8 8 9 10 10 10 9 10 11 12 13 12 12 11 12 13 13 12 10 8 7 8 9 10 10 9 8 8 8 10 12 12 12 12 11 11 11 11 10 7 4 5 6 7 8 11 13 14 14 12 9 9 8 8 7 6 7 8 10 10 9 8 7 5 1 -3 -5 -2 3 7 9 10 11 11 11 11 11 nan
nan 12 13 12 11 10 10 8 8 8 8 7 7 6 6 6 6 6 6 6 7 7 8 7 5 4 5 6 6 4 2 2 4 8 12 15 16 14 12 11 10 9 9 10 10 10 10 10 10 9 7 6 6 7 8 8 9 9 9 9 10 11 12 12 12 12 10 7 7 8 10 12 14 15 14 14 12 11 10 10 10 9 8 7 7 7 7 8 7 4 2 0 -1 -0 2 3 5 6 7 7 7 8 8 8 9 9 8 8 8 9 10 11 11 11 10 9 10 11 11 10 10 10 10 11 12 11 10 8 7 9 10 11 10 9 7 6 7 8 10 11 11 10 8 8 10 11 11 10 6 5 6 7 8 10 12 13 14 14 12 9 9 8 8 7 7 8 10 12 11 10 7 4 -1 -4 -5 -2 3 8 10 11 11 11 11 12 12 13 nan
nan 12 12 12 11 10 9 8 7 7 7 7 6 6 6 6 5 5 5 5 6 7 7 5 3 4 5 7 7 5 3 3 4 6 9 13 15 16 14 12 10 9 9 10 11 10 10 11 10 9 7 7 8 8 8 8 8 9 9 9 9 10 10 10 10 8 5 3 5 8 11 14 15 14 14 14 14 13 12 11 10 8 7 6 6 6 7 7 6 5 4 4 3 3 3 3 3 4 5 6 7 8 7 7 7 7 7 8 8 9 9 9 8 7 7 8 9 9 8 8 8 9 10 10 10 9 9 9 10 12 12 12 9 7 6 7 9 10 12 11 10 8 7 7 8 10 12 10 8 8 8 8 9 10 11 12 14 13 11 9 8 7 7 7 8 10 12 12 11 10 8 3 -0 -1 2 5 9 11 12 12 12 12 12 13 13 14 nan
nan 12 12 11 11 10 9 8 7 7 6 6 5 5 5 6 6 6 5 6 6 7 6 5 4 5 6 8 7 5 4 3 4 6 8 11 14 16 15 13 10 10 10 11 11 11 11 11 10 9 9 9 9 9 8 8 8 8 9 9 8 8 9 10 9 7 4 4 8 12 16 17 15 12 12 13 14 14 13 11 10 8 7 7 8 8 9 10 10 10 10 9 9 8 7 6 5 4 5 6 7 8 8 7 7 6 6 7 8 8 7 7 6 6 7 9 9 8 7 7 8 8 9 9 9 8 9 10 12 14 13 11 8 7 8 9 11 12 12 11 10 8 7 7 8 10 11 10 9 9 8 9 9 9 10 12 14 12 10 7 6 6 7 8 9 11 11 11 11 10 9 7 7 8 10 10 10 11 11 12 12 12 12 13 14 15 nan
nan 12 12 12 12 11 9 8 7 7 6 6 6 6 6 6 7 6 6 6 6 7 7 7 7 7 8 9 8 6 4 3 5 6 7 10 13 16 16 13 11 10 11 12 11 11 11 11 10 9 9 9 9 10 9 9 8 8 9 8 8 7 8 9 9 8 8 10 13 16 17 17 14 12 12 12 13 13 12 11 11 10 10 11 12 13 14 16 16 16 14 13 12 12 12 12 11 9 9 8 7 8 9 9 8 8 7 7 7 7 7 7 8 9 10 11 10 8 8 8 8 9 9 8 8 9 10 12 13 13 11 8 7 7 9 10 12 12 11 10 8 8 7 7 9 11 11 11 10 9 9 9 9 9 11 14 14 12 8 5 4 6 7 8 10 10 10 11 11 11 10 11 12 13 12 9 8 9 11 12 12 12 12 13 14 15 nan
nan 12 12 12 12 11 10 9 8 7 7 7 7 7 7 7 7 6 6 6 6 7 8 9 9 9 9 9 9 7 4 2 4 6 8 9 12 15 15 13 11 11 12 11 11 10 10 9 9 9 8 8 9 10 10 10 9 9 9 8 8 7 7 8 9 10 11 12 13 14 14 13 12 11 12 12 12 11 11 11 11 11 12 13 14 15 16 17 17 16 15 15 16 17 18 18 18 17 16 13 11 10 10 10 10 10 9 8 8 8 8 9 10 11 11 10 9 8 8 9 10 10 9 9 9 10 12 13 12 10 8 6 7 8 9 10 10 10 9 8 7 7 8 9 11 12 12 11 10 10 10 10 10 10 12 14 13 10 6 4 5 7 8 9 10 10 11 12 12 12 11 12 12 10 7 5 6 9 12 12 11 11 11 12 14 15 nan
nan 11 11 11 12 12 12 10 9 8 8 8 9 9 9 8 8 7 6 6 6 8 9 10 10 9 8 9 10 9 5 3 3 6 8 10 13 15 15 13 12 12 12 12 11 10 9 9 9 9 8 8 9 10 11 11 10 9 9 9 8 7 7 8 9 10 10 10 10 11 11 10 10 11 11 11 11 10 10 10 9 10 10 11 11 12 12 12 12 13 14 17 19 20 21 23 23 23 22 20 19 17 15 13 12 11 10 9 8 8 9 10 10 10 9 8 7 8 9 10 11 11 10 10 10 11 12 11 10 7 6 7 8 9 10 10 10 9 8 8 9 9 10 11 13 14 14 13 11 11 11 10 10 10 12 11 10 7 5 5 7 9 10 10 10 11 12 13 13 12 11 11 9 5 3 4 7 11 12 11 10 9 10 11 13 15 nan
nan 9 9 10 11 11 12 11 10 10 9 10 10 10 9 9 8 7 7 7 8 10 11 11 10 8 7 8 9 9 7 4 4 6 9 12 15 17 16 14 12 10 11 12 12 11 9 9 10 10 10 9 9 9 10 10 10 9 9 9 9 8 7 8 8 8 8 9 9 9 10 9 9 10 11 11 11 10 9 9 8 8 8 8 8 9 9 8 9 10 12 15 17 19 20 21 21 22 22 23 23 22 19 16 14 13 11 9 9 9 9 9 9 8 7 7 8 8 10 11 11 11 11 11 12 12 12 10 8 7 8 9 10 10 10 10 10 9 9 11 13 14 14 13 14 14 14 13 12 11 11 10 9 9 9 8 8 6 6 8 9 9 10 10 10 11 13 13 13 12 11 10 8 5 5 6 10 12 10 8 7 8 9 11 12 14 nan
nan 8 9 9 10 10 11 12 12 11 11 10 10 10 10 9 8 7 7 7 8 10 11 10 8 6 6 7 8 9 7 5 5 7 10 14 17 18 17 14 10 8 10 11 11 10 9 10 11 11 11 10 9 9 9 10 10 9 9 8 8 8 8 8 7 8 8 9 9 10 9 8 8 9 10 11 11 10 9 9 8 7 7 7 8 8 8 8 9 10 11 12 13 15 16 16 16 16 17 18 19 18 17 16 15 13 11 10 9 10 10 10 10 10 9 9 9 10 11 11 11 12 12 12 12 13 12 11 10 10 11 11 11 11 11 11 11 12 13 16 17 17 15 13 13 13 13 12 12 11 10 9 9 8 7 7 7 8 8 9 9 9 9 10 11 12 14 13 12 12 11 10 9 8 8 10 11 9 7 5 5 7 9 11 13 14 nan
nan 9 9 9 10 10 11 11 12 12 11 11 10 10 10 9 8 8 7 7 7 7 6 5 4 3 5 6 8 8 6 4 5 9 12 16 18 18 16 13 9 8 9 9 9 8 9 10 11 12 11 11 10 10 10 10 10 10 9 7 7 8 8 8 8 8 8 9 9 9 9 7 7 8 9 10 11 11 10 9 8 7 7 8 8 8 8 9 9 10 11 11 12 13 14 13 12 11 11 12 12 13 13 14 13 12 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 13 13 14 13 12 12 12 13 13 13 12 12 12 13 15 16 16 14 12 11 12 13 13 12 11 11 10 9 8 8 7 7 8 8 9 9 9 10 10 10 11 13 13 13 12 11 11 10 10 10 10 10 9 7 4 3 4 6 8 11 14 15 nan
nan 11 11 11 11 11 11 11 12 12 11 11 11 10 10 10 9 8 7 6 5 4 3 2 2 3 5 7 8 7 5 4 6 10 14 17 18 17 15 12 10 10 10 9 8 8 9 10 11 11 11 11 11 11 11 11 11 10 9 8 8 8 9 9 8 7 8 9 9 9 8 7 7 8 9 10 11 11 11 9 8 8 8 8 9 9 9 10 10 11 11 12 12 13 13 12 11 9 9 9 9 9 10 11 10 9 8 8 9 9 9 8 7 7 7 8 8 8 8 9 10 11 12 13 14 14 14 14 13 13 14 14 14 14 13 13 13 13 14 14 13 10 9 10 12 14 14 13 12 11 9 8 7 7 7 7 8 8 9 11 11 11 11 10 11 12 12 12 11 11 10 10 11 10 10 9 8 5 4 3 4 5 7 11 13 15 nan
nan 12 12 12 12 11 11 12 12 12 12 11 11 11 10 10 9 8 7 6 5 4 4 4 4 5 6 7 8 7 6 4 7 10 15 17 16 14 12 11 11 10 9 8 9 9 9 10 10 10 11 11 11 12 12 12 11 10 10 9 9 9 9 8 7 7 8 9 10 8 6 6 7 9 11 12 12 12 11 9 8 8 9 9 10 10 10 10 11 11 12 12 13 13 13 12 12 12 12 11 9 9 8 8 7 6 6 5 6 6 5 5 4 4 5 6 6 6 6 7 8 10 11 12 12 13 12 12 12 13 14 14 13 12 12 12 12 12 13 12 11 9 9 10 12 14 14 13 12 11 9 7 7 7 7 7 8 10 11 12 12 11 10 10 11 12 12 12 11 11 10 10 10 10 10 9 8 5 4 4 4 6 8 10 12 13 nan
nan 12 12 12 12 12 12 13 13 13 13 12 11 11 10 10 9 8 7 6 6 6 7 7 7 7 7 7 8 8 6 5 7 11 15 15 13 11 11 11 11 10 9 8 9 10 10 10 10 10 11 11 12 13 13 12 11 11 10 9 9 8 8 7 6 8 9 11 10 8 6 6 6 10 12 13 13 11 8 7 7 8 9 9 10 10 10 10 10 11 12 13 13 14 14 14 15 17 16 15 13 11 9 8 7 6 5 4 4 4 3 4 4 5 6 7 8 8 8 9 10 10 10 10 10 9 10 10 10 11 12 11 10 10 11 11 12 12 12 11 10 9 9 10 13 15 15 14 13 12 9 7 6 6 7 8 9 11 12 12 11 10 10 11 12 12 12 12 11 11 11 11 10 10 10 9 7 6 5 5 6 8 10 11 11 12 nan
nan 11 12 12 12 12 13 14 14 14 13 13 12 11 10 9 9 8 7 7 7 7 8 9 9 8 8 7 8 8 7 7 8 11 14 14 12 11 11 12 11 9 8 8 9 10 10 11 11 11 11 11 12 13 14 13 12 10 8 7 6 6 6 6 8 9 10 10 9 8 7 6 7 10 12 12 11 8 5 6 7 9 9 9 10 10 9 10 10 12 13 14 14 13 14 14 16 16 16 16 15 14 12 12 11 11 9 8 7 7 7 7 7 8 8 9 11 12 13 13 13 13 12 11 10 10 10 9 9 9 9 9 9 9 10 11 12 12 11 10 9 9 10 11 13 15 16 15 14 12 9 7 6 6 7 9 10 11 11 11 11 11 12 12 12 13 12 12 12 11 11 11 10 10 10 9 7 6 6 6 8 11 12 12 12 12 nan
nan 11 11 12 12 12 13 13 15 15 15 14 13 12 11 9 8 8 7 7 8 9 9 10 10 9 8 8 8 8 8 7 8 11 13 13 11 11 11 12 10 8 7 7 8 9 10 11 12 12 12 11 11 12 13 12 11 8 5 3 3 4 5 7 8 9 10 9 8 8 8 7 8 10 11 11 9 5 4 6 8 10 10 10 10 10 10 10 10 12 13 14 13 12 11 12 13 13 13 14 14 14 14 14 14 15 16 15 14 13 13 11 11 10 11 13 15 16 15 14 13 12 12 13 13 13 12 10 9 8 8 8 8 9 10 10 10 10 10 10 10 10 10 11 13 14 16 16 14 11 9 7 6 7 8 9 10 11 11 11 12 13 13 13 12 12 13 13 12 12 11 11 10 10 9 8 8 8 7 9 12 14 15 15 13 12 nan
nan 11 12 12 12 12 12 13 15 16 17 17 16 14 12 11 9 8 8 7 8 9 10 10 10 10 8 8 7 7 8 8 8 10 11 11 11 10 10 10 10 9 8 8 8 9 10 11 12 13 12 12 11 12 12 12 11 9 6 5 4 5 6 8 9 9 9 9 9 9 8 7 8 9 10 10 9 7 8 9 10 11 10 11 11 10 10 10 10 12 13 14 13 11 9 9 9 10 11 11 12 13 14 15 16 18 18 18 18 17 15 13 12 12 14 17 18 17 15 12 10 9 10 12 13 13 11 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 11 11 12 14 15 16 13 11 8 6 5 7 8 10 10 11 11 12 13 13 13 12 12 12 13 13 12 12 11 11 11 9 8 8 8 9 9 11 14 17 17 15 14 14 nan
nan 11 12 12 12 12 12 13 14 16 17 17 17 16 14 13 12 10 9 8 8 8 9 10 10 9 8 7 7 7 8 8 8 8 9 10 11 11 10 9 9 9 9 9 9 10 10 11 12 12 12 12 12 12 12 12 12 10 10 10 10 10 11 10 10 9 8 8 7 7 6 6 7 8 9 11 11 11 12 13 13 13 12 11 11 11 10 10 10 12 13 13 11 9 8 8 8 9 10 10 11 12 13 15 16 17 18 17 17 17 15 14 13 13 15 16 16 15 13 10 8 8 9 11 12 11 10 10 9 8 8 9 9 9 8 8 9 10 10 11 11 11 11 11 12 13 15 14 13 10 7 6 6 8 10 10 11 11 11 11 12 12 12 11 11 12 13 12 12 12 12 12 11 9 8 8 9 9 10 13 15 16 15 14 15 16 nan
nan 11 12 12 11 10 11 11 12 13 14 15 15 16 16 15 14 13 11 9 8 8 8 9 9 8 7 7 7 7 8 8 8 8 9 10 12 11 10 9 9 9 10 10 10 10 10 10 11 11 11 12 12 11 11 11 11 11 12 14 15 15 14 12 10 8 6 5 4 4 4 5 6 8 10 12 13 14 15 16 15 14 13 13 12 11 10 10 10 11 13 12 10 9 8 8 8 9 10 9 9 10 11 13 14 14 14 14 14 15 14 14 13 13 13 12 13 12 11 9 8 8 10 12 13 13 12 11 10 10 10 10 10 9 8 8 9 10 10 11 11 11 11 11 12 13 13 13 11 9 7 6 8 9 11 11 11 10 10 10 11 11 10 10 11 11 12 12 12 13 13 13 11 9 9 8 9 10 11 11 12 12 12 12 14 15 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
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1307 1392 1486 1573 1664 1760 1879 1923 1955 1993 2009 2029 2121 2199 2181 2111 2055 2007 1976 1935 1850 1747 1665 1612 1548 1482 1428 1405 1427 1469 1437 1391 1340 1269 1198 1168 1193 1276 1457 1751 1977 2104 2117 1989 1734 1416 1149 1054 1154 1189 966 618 308 126 62 51 59 71 80 92 114 158 233 342 484 566 573 548 519 521 565 616 640 734 923 1051 1184 1301 1377 1450 1581 1849 1968 2123 2294 2348 2242 2114 2206 2132 2192 2271 2323 2394 2492 2582 2647 2716 2723 2756 2771 2766 2762 2914 3246 3241 3233 3166 3097 3065 3094 3173 3310 3377 3382 3256 3038 2721 2365 2210 2189 2100 1796 1505 1463 1378 1226 1197 1238 1286 1375 1254 1403 1753 2183 2595 2858 2753 2757 2711 2687 2686 2653 2554 2423 2272 2089 1915 1862 1921 2016 2047 1944 1798 1715 1654 1660 1691 1668 1598 1523 1435 1404 1397 1375 1348 1327 1307 1295 1328 1423 1497 1545 1567 1562 1529 1463 1474 1483 1484 1464 1418 1344 1313 1341 1429 1377
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1443 1493 1538 1576 1625 1653 1740 1782 1801 1806 1817 1853 1890 1905 1896 1887 1885 1890 1885 1854 1814 1785 1754 1734 1713 1671 1602 1537 1521 1513 1496 1501 1516 1544 1594 1662 1748 1848 1762 1674 1673 1613 1478 1335 1212 1017 675 482 372 243 130 59 24 11 4 1 2 4 5 7 13 22 31 46 68 95 119 145 186 254 319 329 356 382 440 561 792 1101 1279 1321 1419 1501 1520 1528 1550 1574 1608 1729 1711 1761 1822 1851 1870 1902 1970 2024 2042 2049 2020 1950 1916 1934 1933 1950 1969 1941 1866 1785 1726 1686 1657 1632 1582 1585 1634 1685 1742 1786 1781 1765 1760 1773 1748 1700 1641 1558 1531 1700 1892 2080 2255 2450 2653 2630 2184 2215 2296 2364 2472 2523 2552 2651 2844 2798 2551 2470 2326 2255 2386 2551 2543 2312 2203 2073 1982 2018 2081 1948 1861 1869 1857 1833 1799 1766 1721 1668 1599 1535 1526 1512 1443 1401 1458 1463 1520 1643 1768 1690 1413 1209 1212 1427 1581 1656 1660 1621 1560
1515 1552 1595 1636 1627 1632 1673 1716 1742 1756 1776 1795 1783 1777 1754 1762 1772 1779 1778 1754 1718 1698 1702 1722 1722 1701 1662 1616 1587 1581 1609 1632 1627 1593 1619 1725 1775 1824 1588 1259 1258 1275 1203 1140 1104 891 463 210 121 72 33 12 8 5 2 1 1 0 0 1 1 5 7 7 14 26 36 39 47 92 167 212 256 302 348 406 517 702 868 978 1097 1192 1167 1123 1173 1275 1343 1371 1423 1568 1615 1641 1703 1734 1775 1807 1825 1838 1831 1824 1816 1788 1773 1764 1708 1634 1548 1465 1400 1354 1327 1306 1254 1248 1263 1283 1310 1338 1362 1382 1456 1511 1524 1532 1558 1583 1523 1754 1874 1925 1996 2063 1998 1780 1482 1306 1199 1375 1502 1383 1251 1423 1549 1376 1499 1471 1306 1266 1485 1831 1750 1719 1972 1962 1957 2138 2091 2005 1969 1903 1889 1929 1992 1980 1840 1751 1648 1620 1635 1580 1473 1517 1597 1563 1677 1712 1557 1273 1099 1273 1494 1765 1846 1737 1602 1550 1564
1572 1608 1641 1689 1676 1649 1645 1667 1689 1704 1719 1731 1693 1682 1669 1684 1701 1701 1684 1654 1617 1606 1644 1699 1722 1717 1704 1684 1667 1686 1704 1660 1585 1484 1387 1343 1397 1445 1350 1107 1075 1080 1052 1054 1007 715 302 86 36 42 35 9 3 2 0 0 0 0 0 0 0 1 1 0 1 1 3 7 8 11 44 82 132 210 276 305 339 391 422 508 590 649 651 656 763 913 1053 1165 1243 1337 1449 1542 1575 1601 1629 1640 1660 1663 1642 1616 1599 1581 1547 1493 1416 1350 1286 1214 1148 1097 1057 1043 1018 997 978 960 952 939 944 956 977 1006 1035 1060 1076 1053 1084 1132 1122 1141 1205 1196 1091 980 885 815 725 832 1003 955 838 892 848 835 821 800 838 968 769 1048 1446 1957 2116 2023 1965 1919 1950 1743 1505 1390 1330 1362 1526 1642 1687 1733 1623 1610 1691 1720 1800 1829 1780 1726 1664 1550 1455 1455 1480 1701 1824 1836 1705 1546 1482 1517 1596
1633 1661 1675 1707 1710 1670 1632 1617 1607 1597 1604 1621 1621 1632 1650 1668 1665 1634 1590 1560 1563 1615 1695 1778 1829 1839 1817 1778 1768 1768 1719 1611 1484 1366 1283 1251 1224 1194 1236 1173 1082 1013 981 969 870 540 202 46 11 12 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 4 14 36 81 131 170 208 252 275 297 318 333 340 363 451 575 701 836 930 999 1073 1169 1275 1378 1506 1514 1498 1486 1464 1434 1392 1362 1317 1253 1183 1121 1062 989 913 859 826 799 769 742 722 703 690 672 666 661 650 642 642 642 635 613 586 563 534 551 614 636 700 747 786 848 878 955 1133 1264 1366 1267 1214 1224 1187 1068 1037 1333 1434 1621 1805 2071 2234 2060 1761 1393 1168 1052 954 841 760 806 928 1046 1204 1313 1278 1222 1277 1412 1630 1757 1732 1749 1817 1873 1828 1808 1893 1952 1945 1863 1721 1632 1641 1714 1819
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