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 13 19 22 23 20 15 10 6 4 2 0 -1 -1 -1 -1 -0 0 1 2 2 2 3 5 7 6 6 7 10 13 15 17 17 15 11 9 8 9 9 8 7 6 5 6 7 6 5 5 6 6 7 6 6 6 7 7 7 7 8 9 8 8 8 8 8 9 9 9 8 8 8 8 7 6 6 5 5 5 6 7 8 9 10 9 8 8 9 10 10 9 9 10 10 10 9 9 10 11 10 9 8 8 7 8 8 7 7 9 10 10 9 8 9 9 10 10 11 12 11 10 10 10 10 10 10 9 9 9 8 8 8 8 7 6 5 6 7 7 8 9 10 8 6 4 4 4 5 6 7 7 8 9 8 8 7 7 6 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 7 7 7 6 6 7 7 7 7 7 8 8 nan
nan 6 7 10 15 19 20 18 14 11 8 6 4 3 2 2 2 1 2 3 3 4 4 3 2 3 4 4 4 5 8 11 15 19 19 17 14 11 10 10 10 8 7 5 5 6 6 6 5 5 7 7 8 8 8 9 10 10 9 8 8 8 8 7 7 8 8 9 9 9 8 8 8 7 6 5 5 5 5 5 5 6 7 8 9 8 8 8 8 9 9 8 8 9 10 10 9 8 9 10 10 9 9 9 9 8 7 7 7 9 10 10 9 8 8 9 9 10 11 11 11 11 10 10 10 10 10 9 8 9 9 9 9 9 8 7 6 6 7 7 7 9 9 8 7 6 6 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 7 7 7 7 8 nan
nan 4 5 7 11 13 15 14 13 12 11 9 8 6 6 6 5 5 5 5 4 5 7 7 6 5 4 4 4 5 7 11 16 21 22 20 17 14 12 11 10 8 6 5 5 6 6 5 5 6 7 7 8 9 9 11 12 12 11 10 9 8 7 7 7 7 7 8 9 9 8 8 8 8 7 6 5 6 7 6 6 5 6 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 9 9 9 10 10 10 9 8 7 7 7 8 10 10 10 9 8 8 8 9 9 10 10 10 10 10 10 9 8 8 9 9 9 9 9 9 8 7 7 7 7 8 8 9 10 9 9 8 8 8 8 7 6 6 6 6 6 7 7 7 8 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 8 8 8 8 9 9 8 7 6 6 7 8 nan
nan 3 4 5 6 8 10 10 11 13 13 12 11 10 10 10 9 9 8 7 5 6 7 9 10 9 7 6 5 6 8 12 17 22 25 23 20 17 14 12 10 7 5 5 6 7 6 5 5 6 7 7 8 9 10 12 13 12 11 10 9 8 7 7 6 6 7 8 8 8 9 9 9 9 9 8 7 7 8 8 7 6 6 8 8 9 9 8 8 8 8 8 8 8 9 9 8 8 8 8 9 9 10 10 9 8 8 7 7 8 9 10 11 9 8 7 7 8 8 9 9 9 9 9 8 8 8 9 11 11 10 8 8 8 7 7 7 7 8 9 9 10 11 11 11 10 9 8 8 7 7 7 7 6 6 6 7 7 8 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 9 7 6 6 7 8 nan
nan 4 4 4 4 5 6 7 10 13 13 13 12 12 12 13 12 12 10 9 7 7 7 9 10 10 9 9 9 9 10 12 16 21 25 25 23 20 16 13 10 7 5 6 7 7 6 5 6 7 8 9 9 10 12 13 13 12 11 10 9 9 8 8 8 7 7 8 8 8 9 9 9 9 9 9 8 7 8 8 8 7 7 8 8 8 9 9 9 8 8 8 9 9 10 10 9 8 8 8 9 9 10 10 10 9 9 8 7 7 8 10 11 10 9 8 7 7 7 8 8 8 8 8 8 7 8 10 12 12 10 9 8 7 7 6 6 6 7 8 9 10 11 11 11 10 8 8 8 8 8 9 8 8 7 7 7 7 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 10 9 9 10 10 9 8 8 8 8 8 nan
nan 5 5 5 4 4 3 6 9 11 11 11 11 11 11 12 13 12 11 9 8 8 8 8 9 10 10 11 12 12 12 13 15 18 22 25 25 23 19 14 11 8 6 7 7 7 6 6 8 10 11 11 11 12 13 13 12 11 10 9 9 9 9 10 9 8 8 8 8 8 8 8 8 9 9 8 7 6 6 7 6 7 8 8 7 7 8 9 9 9 9 9 9 10 11 11 10 9 8 9 9 9 9 10 10 10 9 9 8 8 8 10 11 11 10 9 8 8 7 8 8 8 8 8 8 7 8 10 11 11 10 9 8 7 6 6 6 6 6 7 9 10 11 11 11 10 9 8 8 9 9 9 9 9 8 8 8 8 8 7 6 5 6 7 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 nan
nan 7 7 7 6 4 4 6 8 9 9 9 9 9 10 11 11 11 10 9 8 8 8 9 9 10 11 12 13 14 14 14 14 16 19 24 27 27 22 16 12 9 8 8 8 7 7 8 10 12 12 12 11 11 12 11 9 8 8 8 8 8 9 9 8 8 7 6 6 6 7 7 7 8 8 8 7 6 6 5 5 6 7 6 6 7 8 9 10 10 10 10 10 10 11 11 10 9 8 9 9 9 9 10 10 10 10 9 9 8 9 10 11 12 11 10 9 8 8 8 8 8 8 8 8 8 8 9 10 10 10 9 8 6 6 6 6 6 6 7 8 9 10 10 11 11 10 10 10 9 9 9 9 9 9 9 9 9 8 6 5 4 4 5 8 9 9 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 nan
nan 8 8 8 7 5 5 6 7 7 7 7 8 8 9 10 11 10 9 8 8 8 9 9 10 10 10 11 13 13 14 14 14 16 18 23 27 28 24 18 13 10 9 9 9 10 11 12 12 12 11 9 8 7 7 5 4 4 5 5 5 5 5 5 5 5 4 4 3 4 5 6 6 7 7 7 7 7 6 6 6 6 6 5 5 7 8 10 10 10 10 10 10 10 11 11 10 9 8 9 9 9 10 10 10 10 10 9 9 9 9 10 11 12 11 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 7 6 7 7 7 7 7 8 8 9 9 10 12 12 12 11 10 9 8 8 8 8 9 9 9 8 7 6 5 5 7 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 8 8 9 9 9 9 nan
nan 8 8 8 6 5 5 6 7 7 7 8 8 9 10 11 11 10 9 8 7 8 8 9 10 10 11 11 12 13 13 14 15 17 20 24 27 27 23 18 14 12 11 11 12 13 15 15 12 9 7 4 2 2 2 1 1 2 3 3 2 2 1 1 2 2 3 3 3 4 4 5 6 6 7 7 8 8 7 7 7 7 6 5 5 7 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 11 11 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 9 8 8 8 8 8 8 7 7 7 7 7 9 11 13 13 13 12 11 10 8 7 7 8 8 9 9 8 8 7 7 8 8 7 6 7 8 8 8 8 8 8 9 9 8 7 6 7 8 9 9 9 8 8 nan
nan 8 8 7 6 6 5 6 6 7 8 9 10 10 10 10 10 9 8 7 7 7 8 9 10 10 11 12 13 14 14 15 17 19 22 25 26 24 20 16 14 13 13 13 14 14 15 14 11 7 3 1 -0 1 3 4 4 4 3 2 1 0 0 1 2 3 4 4 5 5 5 5 6 7 7 7 7 7 6 6 7 6 6 6 6 8 9 9 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 8 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 9 8 7 7 7 6 6 6 7 9 11 12 13 13 13 12 10 9 9 9 9 10 10 10 9 8 8 8 7 5 4 6 7 8 8 7 8 8 8 8 7 6 6 7 9 10 9 8 8 8 nan
nan 9 9 8 8 7 7 6 6 6 7 8 10 10 10 9 9 8 8 7 7 7 8 9 10 11 12 12 13 14 16 17 19 21 23 24 23 20 16 14 13 13 14 14 13 13 12 12 11 8 5 3 3 4 8 9 8 8 6 4 3 3 3 3 3 4 4 4 5 5 6 7 8 8 8 7 6 5 5 5 6 6 6 6 7 8 9 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 11 10 10 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 11 12 11 9 8 7 7 6 6 6 6 7 8 9 10 11 13 15 14 13 12 12 13 12 11 11 10 9 8 8 8 6 4 4 6 6 6 6 6 6 6 7 7 6 6 6 8 10 10 9 9 9 9 nan
nan 10 9 9 9 8 8 7 7 6 7 8 9 9 9 9 9 8 8 7 7 8 8 9 10 11 12 13 14 15 16 18 19 21 21 20 18 16 13 11 10 10 12 12 12 11 11 11 13 13 12 11 10 11 12 11 9 8 7 6 6 6 6 5 4 3 4 4 5 6 8 10 10 9 8 7 5 5 5 5 6 6 6 7 7 8 9 9 10 10 10 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 10 11 11 10 9 9 9 9 8 8 8 8 8 8 9 10 10 10 10 10 10 10 11 11 11 10 8 7 7 7 7 7 6 7 7 8 9 9 10 11 13 13 13 14 15 16 14 13 12 11 10 9 9 8 7 7 7 7 6 5 4 5 5 5 5 5 6 6 8 9 10 10 10 10 11 11 nan
nan 9 9 9 9 8 8 8 7 7 7 7 8 8 9 9 9 9 8 8 7 8 9 10 11 12 13 14 14 15 16 17 18 18 18 16 15 13 12 11 9 8 8 10 10 11 11 13 16 19 20 21 21 19 16 12 9 8 7 7 7 6 5 4 3 3 5 6 9 10 12 12 11 9 7 6 6 6 7 7 7 7 8 7 6 7 7 8 9 10 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 9 9 9 8 8 8 8 8 8 9 10 11 11 11 12 12 12 11 10 8 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 10 11 12 13 14 14 14 13 13 13 13 13 11 10 9 9 8 7 5 4 4 5 6 6 5 6 6 7 9 10 10 10 10 11 12 12 nan
nan 8 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 9 9 8 8 9 10 11 12 13 14 14 14 14 15 15 15 15 15 14 13 12 11 11 10 9 8 9 10 11 12 13 17 21 25 27 27 25 19 13 9 6 5 5 4 3 1 1 2 4 7 11 13 14 13 11 9 7 6 6 7 8 8 9 9 9 8 7 7 6 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 9 9 10 10 11 11 10 9 9 8 8 8 9 10 9 9 10 11 11 12 12 12 12 12 11 9 8 7 8 9 9 9 8 8 7 7 7 7 7 7 7 6 7 8 9 10 10 11 12 13 14 15 16 15 13 11 11 10 10 8 6 5 5 7 8 9 9 8 8 9 10 11 10 10 10 10 10 10 nan
nan 8 8 9 9 9 9 9 8 8 8 7 7 7 8 8 8 9 9 9 9 10 11 12 13 14 14 14 14 14 14 14 13 13 13 13 12 12 11 11 11 10 10 10 10 11 12 12 14 19 23 25 25 23 18 12 7 5 3 3 3 4 4 3 4 7 11 14 15 13 10 8 7 7 7 8 9 9 10 10 10 10 9 9 8 7 6 6 7 8 9 9 8 8 8 8 9 8 8 8 8 8 8 8 8 9 10 10 10 9 9 9 10 10 11 10 9 8 8 9 10 11 11 11 10 11 11 12 12 12 11 11 11 10 9 9 10 11 10 9 8 8 7 8 8 8 7 7 6 6 7 7 7 7 7 8 9 11 12 13 13 12 11 10 10 10 10 9 8 7 8 9 11 12 12 11 9 9 10 11 11 11 9 7 7 7 nan
nan 8 9 9 9 9 9 9 9 9 8 8 8 8 7 8 8 9 9 10 10 11 12 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 12 12 12 12 15 18 20 21 18 15 11 10 9 7 6 7 9 12 13 14 15 16 16 13 9 6 5 6 7 8 9 10 10 9 9 9 10 11 11 10 9 7 6 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 10 10 9 8 8 8 9 11 12 12 12 11 11 10 11 10 10 10 11 11 11 10 10 11 11 11 10 9 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 9 9 8 8 8 10 11 12 13 12 10 9 9 9 10 10 7 5 4 6 nan
nan 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 10 11 11 12 12 13 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 13 15 17 18 17 16 15 17 17 15 14 14 15 18 20 21 20 18 14 10 7 6 6 6 7 8 8 9 8 8 8 8 9 10 11 10 9 8 7 6 7 8 8 8 8 8 8 8 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 9 10 10 9 8 8 9 10 11 12 12 12 12 11 11 11 11 10 10 11 12 12 12 12 12 12 12 12 11 10 9 10 10 10 10 9 8 8 7 7 7 7 8 9 9 9 9 8 8 8 7 7 7 8 8 7 6 6 7 8 9 10 11 11 10 8 7 7 7 6 5 4 5 7 nan
nan 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 11 11 12 12 12 12 12 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 13 15 16 18 18 19 21 21 19 18 17 18 19 20 19 16 13 10 8 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 8 8 7 6 5 6 7 7 8 8 8 9 9 9 9 10 10 11 11 10 9 9 9 8 8 8 9 9 10 10 10 9 9 9 9 10 11 11 11 11 12 12 11 11 11 11 11 11 12 13 13 13 12 11 11 12 12 11 10 10 10 11 11 10 9 8 8 7 7 7 9 10 11 11 10 10 9 9 9 9 9 9 9 7 7 7 6 6 6 7 8 9 8 7 6 6 6 4 4 5 8 9 nan
nan 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 11 11 12 12 13 13 13 13 13 13 13 13 13 13 12 12 11 11 10 10 11 11 11 11 11 11 11 11 11 12 13 15 17 18 19 20 20 19 18 17 18 18 17 14 12 9 8 7 7 7 7 7 7 7 6 6 7 7 8 7 7 6 5 5 6 6 6 5 5 5 6 7 8 8 9 9 9 10 10 11 11 11 10 10 9 9 9 9 9 9 10 11 11 10 10 10 10 10 10 11 11 11 10 11 11 11 11 11 11 11 11 11 12 13 12 11 11 11 11 11 11 11 10 10 11 11 11 10 9 9 8 7 6 7 8 9 10 10 9 9 10 10 10 10 10 9 9 9 8 7 6 5 5 6 7 7 6 6 6 6 5 5 7 9 9 nan
nan 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 12 13 13 13 13 13 13 13 13 13 13 13 12 12 11 11 10 10 10 11 12 11 11 10 10 10 10 11 11 13 14 15 16 17 18 17 16 16 15 15 14 12 10 8 7 6 6 6 7 8 8 7 7 7 8 8 8 8 7 6 6 6 6 7 7 7 6 5 5 6 6 7 8 9 10 10 10 10 11 11 10 10 9 9 9 9 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 11 12 12 12 12 11 10 11 11 11 11 10 10 10 11 11 11 10 10 9 7 5 5 6 7 7 7 7 8 10 10 10 10 10 9 9 9 8 7 6 5 5 6 6 6 6 6 7 7 7 7 8 9 8 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 12 12 13 13 13 13 12 13 13 12 12 12 12 12 11 11 11 10 10 10 11 11 11 11 10 10 9 9 9 10 10 11 12 12 12 13 13 13 12 11 10 9 9 8 7 7 7 7 8 9 9 9 8 8 9 9 9 8 8 8 7 7 7 7 7 8 8 7 6 6 6 6 7 8 9 10 10 10 10 10 10 10 10 10 9 9 10 10 11 11 12 11 10 9 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 11 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 8 7 6 6 5 5 5 6 8 9 10 10 10 9 9 9 9 8 7 7 7 7 8 7 7 7 6 7 7 7 7 8 9 7 nan
nan 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 9 9 9 10 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 11 11 11 10 10 9 9 8 8 8 9 9 9 9 8 8 9 8 8 7 7 7 7 7 8 9 10 11 12 12 12 11 10 11 11 11 10 9 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 9 10 10 9 9 9 9 10 10 10 10 10 11 11 12 12 11 10 10 10 10 9 10 10 9 9 9 8 8 8 9 8 8 8 8 9 9 10 11 11 11 10 10 10 10 9 9 9 9 8 8 8 9 9 9 9 8 7 6 5 5 5 6 7 8 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 8 7 7 7 6 7 8 8 7 nan
nan 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 9 9 9 9 10 11 11 11 12 11 11 11 12 12 12 12 12 11 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 11 12 14 15 15 14 13 12 12 12 12 11 10 9 8 7 7 7 7 7 8 8 9 9 9 9 9 9 8 7 7 8 9 9 9 9 8 9 9 9 10 10 10 11 11 12 12 12 11 11 10 9 9 9 9 9 9 8 8 8 8 8 7 7 7 6 6 7 8 9 9 9 9 9 9 9 9 9 10 9 9 8 8 9 9 9 9 9 8 7 6 6 6 6 7 7 8 9 9 9 9 10 10 10 9 9 8 8 9 9 10 9 9 8 7 7 8 8 8 7 nan
nan 11 10 10 10 9 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 12 12 12 11 10 10 9 8 8 8 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 10 11 13 13 14 14 13 13 12 11 11 10 9 9 8 7 7 7 7 7 7 8 9 9 9 9 10 10 10 9 9 7 7 7 8 9 9 9 9 8 8 9 10 10 10 10 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 8 8 8 7 6 5 6 7 8 8 8 9 9 9 9 10 11 11 11 10 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 10 10 11 10 10 9 8 8 8 8 9 9 9 9 8 8 9 8 8 7 nan
nan 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 12 12 11 11 10 9 8 7 8 8 8 8 9 9 9 9 9 9 9 9 10 10 9 9 9 10 10 10 10 9 9 8 8 10 11 13 13 12 11 10 9 9 9 8 7 6 5 5 5 6 7 7 8 8 9 9 10 10 10 10 10 10 9 9 7 6 6 7 8 9 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 11 10 9 8 8 9 9 9 9 10 9 8 8 9 11 13 12 11 10 10 10 10 10 10 10 10 10 10 9 10 10 9 9 9 9 9 9 10 10 10 10 9 8 8 7 8 8 9 9 9 9 8 8 9 8 8 8 nan
nan 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 10 10 10 9 8 7 7 7 8 8 9 9 9 9 9 9 9 9 10 10 9 9 9 10 10 10 10 10 9 9 9 10 11 12 11 10 8 7 7 7 7 6 5 4 4 4 5 7 8 9 9 9 9 9 10 10 10 10 9 9 9 8 7 6 6 7 8 9 9 9 8 8 8 9 10 9 8 8 8 9 10 10 11 11 11 10 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 9 9 10 11 10 9 8 7 9 12 12 11 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 7 7 8 8 9 9 9 8 7 7 8 8 8 8 nan
nan 11 11 11 11 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 8 8 9 9 10 11 11 11 11 10 10 10 10 10 9 8 8 7 7 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 9 7 6 5 6 6 6 5 5 5 6 7 8 9 10 10 10 9 9 9 9 9 9 9 9 9 8 7 6 6 7 9 10 10 9 8 8 8 10 10 11 10 9 8 8 9 10 11 11 10 9 8 8 8 9 9 9 8 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 8 7 8 9 10 10 9 8 7 8 8 8 9 9 9 9 8 7 7 7 8 8 8 8 9 9 10 10 10 9 8 7 7 7 8 9 9 9 8 7 7 7 8 8 9 nan
nan 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 9 9 9 10 10 11 11 11 11 10 10 10 10 9 9 8 8 8 8 9 9 9 10 10 9 9 9 8 8 8 8 8 9 9 9 10 10 11 12 12 12 11 10 9 8 8 7 7 7 7 8 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 7 6 6 7 9 11 12 11 10 10 9 10 11 11 11 10 9 9 9 9 9 9 8 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 9 8 8 7 8 9 9 9 8 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 7 6 6 6 7 7 7 8 8 9 10 10 9 8 7 7 7 7 8 9 9 9 8 7 8 8 9 9 9 nan
nan 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 11 11 11 11 11 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 11 12 11 10 8 7 6 6 8 9 9 9 10 10 10 10 11 12 12 11 10 10 10 10 9 9 9 9 9 8 8 8 8 9 8 8 8 8 9 10 11 11 11 11 11 10 10 10 10 11 10 10 9 8 8 7 7 7 7 7 8 8 8 8 9 9 8 7 7 7 7 8 7 8 7 7 6 6 7 7 7 6 6 6 6 6 7 8 8 8 8 7 7 7 7 7 7 7 6 6 6 7 7 7 7 8 9 10 9 8 8 7 7 8 8 8 9 9 8 8 8 9 9 10 10 10 nan
nan 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 10 11 11 11 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 10 9 7 6 5 6 8 9 9 9 9 9 10 11 13 14 14 14 12 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 9 10 10 11 11 10 10 10 10 10 10 9 9 9 9 9 8 7 7 6 6 6 7 7 7 8 8 8 8 8 7 6 6 6 7 7 7 7 7 7 6 7 7 6 6 5 6 6 7 7 8 9 9 9 9 8 8 8 8 8 7 7 6 6 6 7 7 7 7 8 9 9 9 8 8 8 8 9 8 8 8 8 8 8 9 9 10 10 10 10 nan
nan 10 10 10 10 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 10 10 10 10 10 9 9 8 8 9 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 8 7 8 9 9 9 8 7 7 9 10 12 13 15 15 13 12 11 11 11 10 10 9 8 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 7 7 7 7 6 7 7 7 8 8 8 8 8 8 8 8 6 5 6 7 8 8 8 8 7 7 8 8 8 7 6 7 7 8 8 8 9 9 9 10 9 9 9 8 7 7 6 6 7 7 7 8 8 8 9 9 9 9 9 8 8 9 9 9 9 9 8 7 8 8 9 10 10 10 9 nan
nan 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 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 12 12 12 12 10 10 9 9 9 9 8 8 8 8 8 9 10 12 13 12 11 11 11 11 11 11 10 9 8 8 8 8 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 7 6 6 7 8 8 9 9 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 9 8 8 7 7 6 7 8 8 9 8 8 8 8 9 9 9 9 8 8 8 9 10 10 10 9 7 7 7 7 9 10 10 10 10 nan
nan 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 9 9 9 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 12 13 14 14 13 11 10 9 10 9 10 10 10 9 8 8 8 8 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 7 7 7 7 7 7 7 8 9 9 9 9 8 9 9 9 9 9 9 8 8 9 10 10 10 10 9 7 6 6 6 8 10 10 10 10 nan
nan 9 9 8 9 9 9 10 10 10 10 10 10 9 8 8 8 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 10 10 9 9 9 9 9 9 8 8 8 9 9 10 10 11 11 11 11 11 12 13 14 15 14 12 11 11 11 11 12 12 11 10 8 7 7 7 7 7 7 7 7 8 9 10 10 10 10 10 9 9 9 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 7 8 8 9 9 8 7 7 7 8 8 7 7 7 7 7 7 8 9 9 8 7 6 6 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 10 10 10 10 10 9 8 7 5 5 8 10 10 10 10 nan
nan 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 8 8 8 8 9 10 10 10 10 10 10 10 11 12 13 14 14 14 13 13 12 12 12 12 11 10 9 8 8 8 8 8 7 7 7 8 9 10 11 11 11 10 9 9 8 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 9 8 8 7 8 8 9 9 8 7 7 8 8 8 8 7 7 8 7 7 7 9 9 8 7 6 6 6 6 6 6 7 7 7 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 10 8 6 6 8 9 9 9 9 nan
nan 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 7 7 7 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 10 10 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 11 11 12 12 12 12 11 10 10 10 9 9 9 9 9 9 9 9 8 8 9 9 10 10 10 10 9 8 8 8 7 7 7 7 8 9 9 10 9 9 9 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 10 10 10 11 12 12 12 13 12 11 9 7 7 8 9 8 8 9 nan
nan 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 8 8 8 8 7 8 8 9 9 10 10 10 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 9 8 8 9 9 10 10 10 9 9 8 9 9 10 10 10 10 9 9 8 8 7 7 7 7 7 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 9 10 10 9 8 7 7 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 8 8 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 13 13 13 12 11 10 10 11 10 10 9 9 nan
nan 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 12 12 12 12 11 11 10 10 9 9 9 9 9 10 10 10 11 11 11 11 12 12 12 12 11 10 9 9 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 10 10 9 9 9 10 10 10 10 8 8 8 7 6 6 6 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 10 10 9 7 7 7 8 8 8 7 7 8 8 8 8 8 7 7 7 7 8 8 8 9 10 10 10 10 9 8 8 8 9 10 10 10 10 10 9 9 9 9 10 10 11 11 10 11 11 11 11 12 13 13 13 13 13 13 13 13 12 11 10 nan
nan 11 10 10 10 11 10 10 9 9 9 9 10 11 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 11 10 10 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 11 10 10 9 10 9 8 7 7 8 8 8 7 7 7 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 8 9 10 10 9 7 7 7 7 7 7 6 6 7 7 7 8 8 8 8 8 8 8 8 9 9 10 9 10 9 9 8 7 8 9 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 12 12 13 13 14 14 13 14 13 12 10 nan
nan 11 10 10 10 10 10 10 10 10 10 10 10 11 12 12 13 13 13 13 12 12 12 11 11 10 10 10 10 10 11 11 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 7 7 6 6 6 7 7 7 7 7 8 8 8 8 7 8 8 9 9 9 9 9 9 10 10 10 10 9 9 8 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 9 10 10 9 8 8 7 7 7 6 6 6 7 7 7 7 8 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 10 10 10 11 11 11 11 12 12 12 12 13 12 11 9 nan
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nan 8 8 8 8 9 8 8 8 9 9 10 10 10 10 9 8 9 9 9 9 10 11 12 13 15 16 16 15 14 12 10 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 12 12 12 11 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 7 8 9 9 10 10 10 10 10 11 11 11 11 11 12 12 13 14 14 14 13 13 12 12 11 9 8 8 8 10 11 12 11 10 8 7 6 4 4 6 9 10 10 8 8 8 9 9 9 9 9 9 10 10 11 12 12 12 12 12 12 11 11 9 10 10 10 9 8 8 9 9 10 11 13 14 14 11 8 6 4 2 -1 -2 -0 2 5 6 7 7 8 8 8 9 9 10 11 13 13 nan
nan 9 9 9 9 8 7 7 8 8 9 10 10 10 9 8 8 9 9 10 10 11 12 13 15 16 16 15 13 12 10 9 9 9 9 9 10 10 10 9 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 11 12 12 12 13 12 12 11 10 9 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 9 9 9 10 11 11 10 10 10 10 10 11 12 12 11 11 12 13 15 16 15 14 13 12 12 11 9 9 8 8 9 11 12 11 10 9 7 6 5 4 6 9 11 11 10 9 9 9 9 9 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 13 13 12 10 9 8 8 8 8 8 9 10 11 10 9 7 6 4 2 1 2 4 7 8 9 9 10 9 9 9 9 10 12 14 14 nan
nan 11 11 11 10 8 7 7 7 8 9 10 10 9 8 7 8 9 10 11 11 12 14 15 16 17 16 13 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 13 13 13 13 13 12 11 11 11 11 11 12 12 12 12 12 11 10 10 9 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 10 10 11 12 11 11 10 10 10 10 11 11 11 11 11 12 13 15 16 15 14 13 12 12 11 11 10 9 8 9 11 12 12 10 9 7 6 5 5 6 8 11 13 12 10 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 12 13 14 14 12 11 10 9 8 8 8 8 8 8 9 8 8 8 8 7 5 4 5 7 9 11 11 12 11 10 10 10 10 11 13 14 13 nan
nan 11 11 11 10 8 7 6 7 8 9 9 9 7 6 7 8 10 11 12 13 14 15 16 17 17 15 12 11 10 9 8 8 8 9 9 9 9 9 8 8 8 9 9 10 11 11 12 12 13 13 14 14 13 13 12 11 11 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 8 8 8 7 7 7 7 8 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 11 11 12 13 15 15 16 14 13 12 12 12 11 11 10 9 9 11 12 12 11 9 7 5 4 4 5 7 11 13 13 11 10 9 9 9 9 10 11 11 10 10 10 10 10 11 11 11 11 12 13 13 13 12 12 11 10 9 9 8 8 7 7 7 7 7 8 9 9 8 8 8 9 11 12 14 13 12 11 10 9 9 11 12 13 13 nan
nan 10 11 10 9 8 7 7 7 8 8 8 7 6 6 7 8 10 12 13 14 15 15 16 16 15 13 12 11 10 9 9 8 8 8 8 8 8 8 8 8 8 9 10 11 11 11 12 12 13 13 14 14 12 11 10 9 9 8 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 7 8 8 9 10 10 10 11 10 10 11 11 11 10 10 11 12 12 12 11 11 11 11 12 13 14 15 16 15 14 13 12 12 12 12 11 9 10 11 12 13 12 9 7 5 4 3 4 6 9 12 13 12 9 8 7 8 9 10 11 12 12 11 10 10 10 10 10 10 11 11 12 12 11 11 11 11 9 8 7 6 6 5 5 5 6 7 8 9 10 11 11 11 11 12 13 14 14 12 11 10 8 8 10 11 11 10 nan
nan 10 10 9 8 8 8 8 8 8 8 7 6 6 7 8 9 11 12 13 14 14 15 15 14 13 12 12 11 10 10 9 9 9 8 8 8 8 8 8 8 8 9 10 11 11 11 11 12 13 14 14 13 11 8 7 7 7 7 8 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 8 8 7 8 8 9 10 11 11 11 11 11 10 9 9 9 10 12 12 12 11 11 11 10 11 11 13 14 16 16 15 14 13 13 12 12 12 11 11 12 12 13 13 10 8 6 4 3 3 4 7 10 13 12 9 7 6 7 8 9 10 11 11 11 10 10 9 10 10 10 11 11 11 10 10 10 10 9 8 6 5 4 4 4 4 5 6 7 8 10 11 13 14 14 13 12 13 13 13 12 10 8 7 7 7 7 6 5 nan
nan 10 10 9 8 8 8 8 8 8 7 7 7 8 9 10 10 11 12 13 13 14 14 13 13 12 12 11 11 10 10 10 10 10 9 8 8 8 8 8 8 9 10 10 11 11 11 11 12 13 13 13 11 9 7 7 6 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 9 8 7 7 8 8 9 10 11 12 12 12 11 10 9 9 10 11 12 12 11 10 10 10 10 10 10 11 13 14 15 15 14 13 13 12 13 13 13 13 13 13 14 13 11 8 6 5 5 4 4 6 10 13 12 9 7 6 7 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 7 6 4 3 3 3 4 5 5 6 7 9 10 12 14 16 16 15 13 13 13 13 11 9 7 6 6 4 2 2 3 nan
nan 10 10 9 8 7 7 7 8 8 8 8 8 9 10 10 10 10 12 13 13 13 12 12 12 12 12 11 9 8 9 9 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 12 12 11 10 9 8 7 7 8 8 9 9 9 9 9 8 8 8 8 7 6 5 4 6 8 9 10 9 9 8 8 8 8 9 10 11 13 14 13 12 11 10 10 10 11 11 12 11 10 9 9 9 10 10 10 11 11 12 12 13 13 13 12 13 13 14 15 16 15 15 14 13 12 9 7 6 6 6 6 8 11 13 12 10 8 8 8 9 10 10 10 10 10 10 10 10 10 11 10 10 9 9 9 9 8 7 6 4 3 2 3 4 5 6 6 7 8 10 12 13 14 17 18 17 16 15 15 15 12 9 6 4 3 2 2 4 7 nan
nan 10 9 8 7 7 6 6 7 8 8 9 9 10 10 10 10 11 11 12 11 11 10 11 12 12 12 11 9 8 8 9 9 9 10 10 10 10 10 9 9 9 10 10 11 11 11 11 11 12 12 11 10 9 9 8 8 8 8 9 9 9 9 9 8 7 7 6 6 4 3 4 6 8 10 10 9 8 8 9 9 10 11 12 13 14 14 14 12 11 11 11 11 11 11 11 9 8 7 8 9 10 10 10 11 11 11 11 11 11 11 12 13 13 14 16 17 17 16 15 14 12 10 8 8 8 8 9 11 13 13 12 11 10 10 10 10 10 10 11 10 9 9 10 10 10 10 10 9 9 8 8 8 7 6 5 3 2 2 3 5 6 6 7 8 10 12 13 14 15 18 21 21 20 18 17 16 13 9 6 4 4 5 7 10 12 nan
nan 9 9 8 7 6 6 6 6 7 8 10 11 12 13 13 13 12 11 10 9 9 10 11 11 12 12 12 10 9 9 9 9 9 10 11 11 11 10 9 9 9 9 10 10 11 11 11 11 12 11 11 11 10 10 9 9 8 8 9 9 9 9 8 7 7 6 6 6 5 5 7 9 10 10 9 9 8 9 10 11 12 12 13 13 13 12 12 11 11 11 11 11 11 11 10 8 7 7 8 8 8 9 10 12 13 13 12 11 11 12 13 13 14 14 15 16 15 15 14 13 12 11 9 9 10 10 11 12 13 12 11 11 12 13 12 10 10 11 12 11 10 9 9 9 10 10 9 9 8 8 8 8 7 6 5 3 2 2 4 5 6 8 9 10 11 13 14 15 18 21 23 24 22 18 15 13 11 9 8 8 8 10 12 13 14 nan
nan 8 8 8 8 7 6 6 6 8 10 12 14 15 15 15 15 13 11 9 8 9 10 11 11 12 12 11 11 10 10 9 9 10 11 11 10 10 9 9 9 9 9 10 11 11 11 12 12 11 11 11 11 11 11 10 9 8 8 8 8 8 7 7 7 7 6 6 6 7 9 10 11 11 10 9 9 9 10 11 12 13 12 12 11 10 10 9 9 10 10 11 10 11 10 10 8 7 7 8 8 7 8 10 11 13 13 13 13 13 14 14 14 14 14 13 13 13 13 13 12 11 10 9 9 10 11 12 12 12 11 10 11 13 13 12 10 11 12 12 11 9 8 8 9 9 9 9 8 8 8 9 9 8 7 5 3 2 2 4 6 8 10 11 12 12 13 15 16 19 22 25 25 22 16 11 9 8 9 10 12 13 15 16 16 16 nan
nan 8 9 9 9 9 8 7 8 10 13 15 16 16 15 14 13 12 10 9 9 10 11 11 11 12 12 12 11 10 10 9 9 10 10 10 9 8 8 9 9 10 11 11 11 11 11 11 11 11 11 11 12 12 12 11 10 9 8 7 7 7 6 6 6 5 5 5 6 9 10 11 11 11 10 9 10 10 11 11 12 12 11 10 9 8 7 7 8 9 9 10 10 10 10 10 9 9 9 9 8 8 9 10 12 12 13 13 14 14 14 14 14 14 13 12 11 10 10 11 11 11 9 7 7 8 10 11 11 10 10 10 11 13 12 12 12 13 13 12 10 9 8 8 8 9 8 8 8 8 8 8 7 6 5 3 1 1 2 5 8 10 11 12 13 13 14 15 16 19 21 21 20 16 11 8 7 8 10 12 14 17 18 19 19 17 nan
nan 9 10 11 12 11 10 10 10 12 14 15 14 13 11 10 9 9 9 10 11 12 12 12 12 12 12 12 12 11 10 10 10 10 10 9 8 7 8 8 10 11 12 12 11 11 10 10 10 10 10 11 12 13 13 13 12 10 8 7 7 6 6 6 5 4 4 5 7 9 11 11 11 10 10 10 10 11 11 12 12 11 10 8 7 7 7 7 8 8 9 10 10 10 11 12 12 11 11 10 9 10 11 12 13 13 14 14 13 12 12 11 11 11 12 11 10 8 7 8 9 9 8 7 6 7 8 9 9 9 9 9 10 11 12 13 15 16 14 12 10 8 7 7 7 7 8 8 8 8 7 5 4 2 1 -0 -1 0 3 7 10 12 13 13 13 14 15 16 17 18 18 15 11 7 5 5 7 9 12 14 16 18 20 20 19 17 nan
nan 12 13 13 13 13 13 12 12 13 12 11 10 8 7 7 7 8 10 12 12 13 13 12 13 13 13 13 13 12 11 10 10 9 9 8 8 8 8 10 11 12 12 12 11 10 10 9 9 9 10 11 12 13 13 13 13 11 9 8 7 7 7 6 6 6 7 8 10 11 11 11 10 10 10 10 11 11 12 12 12 10 8 7 6 7 8 8 9 9 10 10 10 10 11 12 13 13 12 11 11 12 13 13 13 14 14 14 12 11 10 10 10 11 12 12 11 8 6 5 6 6 6 6 6 6 7 8 8 8 8 8 8 9 11 13 15 15 13 12 11 9 7 6 6 6 7 7 7 6 4 1 -0 -1 -1 -0 1 4 8 11 12 13 13 14 15 16 17 18 19 18 16 11 6 4 4 6 9 12 14 16 18 20 20 19 17 14 nan
nan 14 13 13 13 13 13 13 13 12 10 9 8 7 6 7 8 9 11 12 13 13 13 13 13 13 14 14 13 12 11 10 9 8 8 7 7 8 9 10 11 12 12 11 11 10 10 10 10 10 10 10 11 12 12 13 12 12 11 10 9 8 7 7 8 9 10 12 13 12 12 11 10 10 10 10 10 11 11 12 11 9 7 5 5 7 9 9 10 10 11 11 10 10 10 11 12 12 12 12 12 13 13 14 14 14 14 13 13 12 12 12 12 12 12 12 10 8 6 5 4 3 3 5 6 6 7 8 8 7 7 7 7 8 9 10 9 9 9 11 12 10 8 7 6 6 6 5 3 1 -1 -2 -2 0 3 6 9 12 13 13 13 14 15 16 18 19 21 21 20 19 16 12 9 9 9 11 13 15 17 19 21 22 20 18 14 11 nan
nan 12 11 11 11 11 12 12 11 11 10 9 9 9 9 9 9 10 11 12 13 14 14 13 13 13 13 12 12 12 12 10 9 8 7 7 7 9 10 11 11 11 11 11 11 10 10 10 10 11 10 10 10 10 11 11 11 11 10 10 9 8 7 8 9 11 12 13 13 13 12 11 11 11 10 10 10 10 10 10 10 9 7 5 5 7 8 9 10 10 11 11 10 10 9 10 10 11 12 12 12 12 13 13 13 13 13 13 13 13 13 14 14 13 12 10 9 8 7 6 4 2 3 5 6 7 8 9 9 8 7 7 8 9 9 8 6 5 5 9 12 12 11 9 6 3 1 -1 -2 -3 -2 -1 3 8 12 15 16 16 15 15 15 17 18 19 20 21 21 20 19 17 15 13 11 11 11 13 15 18 21 24 25 22 18 14 11 9 nan
nan 9 8 9 9 10 10 10 10 10 10 10 10 11 11 10 10 10 11 12 13 13 13 13 12 12 12 12 12 13 12 11 10 8 7 7 8 9 10 10 10 10 10 11 11 10 10 10 11 10 9 9 9 9 9 9 9 9 9 8 8 7 7 9 11 12 13 13 13 12 12 12 11 11 11 10 9 8 8 9 9 9 8 7 7 8 8 9 9 10 11 11 11 10 9 9 9 10 11 12 12 12 12 12 12 11 11 11 12 13 13 13 13 12 10 9 8 7 7 6 5 5 6 7 8 9 10 10 9 8 7 7 9 10 10 8 6 5 5 8 12 13 12 10 5 1 -1 -2 -1 1 4 8 13 18 20 21 19 18 18 19 20 20 21 21 20 19 17 15 14 12 10 9 8 9 11 13 16 19 23 25 23 19 14 10 9 9 nan
nan 8 8 9 9 9 9 9 9 9 9 10 11 12 12 11 11 10 10 11 12 12 12 12 12 12 12 12 13 13 12 11 10 9 8 8 8 8 9 9 10 10 11 11 11 11 11 10 10 9 8 7 7 7 7 8 8 8 8 7 7 7 8 10 11 12 12 12 12 12 11 11 11 10 10 9 8 7 7 8 9 9 9 9 10 10 9 9 9 10 11 11 10 9 8 8 9 9 10 11 12 12 11 10 10 10 10 10 11 11 11 11 11 10 9 8 8 7 7 7 7 8 8 9 9 9 10 10 9 8 8 9 11 12 11 9 8 8 8 11 13 14 14 11 6 4 4 5 8 11 14 18 22 24 23 21 19 18 19 21 21 20 19 17 15 13 11 10 9 8 7 6 8 10 13 16 18 21 23 22 18 14 10 8 9 10 nan
nan 9 9 9 9 9 9 9 9 9 10 11 12 13 13 12 11 10 10 10 11 11 12 12 12 12 13 13 13 12 12 11 10 9 9 9 9 9 8 9 9 10 11 12 12 12 11 10 9 8 7 6 6 6 6 7 7 7 7 7 8 8 9 10 11 12 12 12 12 11 10 9 9 8 8 7 7 7 8 8 9 9 10 11 11 12 11 9 9 9 10 10 9 8 8 8 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 11 10 10 9 8 7 7 7 7 8 8 9 9 9 9 10 10 9 9 10 12 13 14 12 11 10 11 13 15 17 18 18 14 12 11 12 14 16 18 20 22 23 21 19 16 14 14 15 16 15 14 12 11 9 8 8 8 9 9 9 11 13 15 17 18 19 20 20 17 14 11 9 8 9 10 nan
nan 9 8 8 8 8 9 9 10 11 11 12 13 13 13 12 11 10 10 10 11 11 11 12 12 13 13 13 13 12 11 10 9 9 10 10 10 9 9 9 9 10 11 11 11 11 10 8 8 7 6 6 5 5 6 7 7 8 8 8 9 9 10 11 12 12 12 11 10 9 8 8 7 7 6 7 7 8 8 9 9 10 10 11 12 13 11 10 9 9 9 9 9 9 9 10 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 11 10 9 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 10 11 12 13 13 12 12 12 14 16 18 19 19 18 16 15 15 16 16 17 19 19 19 17 14 11 9 9 10 12 13 12 11 10 9 9 9 11 12 12 13 14 15 16 17 17 17 17 17 15 13 12 10 9 9 9 10 nan
nan 9 8 8 8 9 10 11 12 12 13 14 13 13 12 11 10 9 9 10 10 11 11 11 12 12 13 13 13 12 11 11 10 10 10 10 10 9 9 9 9 10 10 10 10 9 8 7 7 6 6 6 6 6 7 7 8 9 9 10 10 11 11 12 13 13 12 10 9 8 8 8 7 6 6 6 7 7 8 9 10 11 11 12 13 13 12 10 9 9 9 8 8 9 10 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 11 11 10 9 8 7 7 8 8 9 9 9 9 10 10 10 10 10 10 10 11 11 12 11 11 11 12 13 15 15 15 14 13 13 13 13 13 13 14 15 14 13 11 11 10 11 12 14 15 16 16 16 15 14 14 15 16 16 15 14 14 14 14 14 15 15 14 13 12 12 11 10 10 10 10 10 nan
nan 8 8 9 9 10 11 12 13 13 14 14 14 13 12 11 10 9 9 9 10 10 11 11 12 12 12 12 13 13 12 12 12 11 11 10 9 9 9 9 9 9 9 9 9 8 7 7 6 6 6 7 7 8 8 9 9 10 11 12 12 11 12 13 14 13 12 10 10 10 10 9 7 7 7 7 7 8 9 10 11 11 11 12 12 12 12 11 10 9 9 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 10 9 8 7 7 7 8 9 9 9 10 10 11 11 11 10 10 10 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 12 11 11 12 13 14 16 17 18 19 19 19 19 18 18 17 17 16 15 13 13 12 12 12 12 12 12 12 11 11 11 11 11 10 10 11 10 nan
nan 8 9 10 11 12 12 13 13 14 14 14 14 13 12 10 9 8 8 9 10 10 11 11 11 11 11 11 12 12 13 13 13 12 11 10 10 9 8 8 8 9 9 8 8 7 7 6 6 6 7 8 9 9 10 10 11 12 13 13 13 13 12 12 13 12 11 10 11 12 12 10 8 7 7 8 9 9 10 11 11 11 11 11 12 13 13 12 11 10 9 9 8 8 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 9 9 8 8 8 8 9 9 9 10 10 11 11 10 10 8 8 9 10 10 11 10 10 9 9 10 10 10 10 10 10 9 9 9 9 10 11 12 12 12 12 13 14 14 15 16 17 17 16 15 15 14 14 14 13 13 12 12 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 12 12 nan
nan 9 10 11 12 13 13 13 13 13 14 14 14 13 12 10 9 8 8 9 10 10 10 11 11 11 10 10 10 11 12 13 13 13 12 12 10 9 8 8 8 8 8 8 8 7 7 7 6 6 7 8 10 10 11 11 11 11 12 13 13 13 12 12 11 10 9 9 10 11 12 10 8 7 7 9 10 11 11 11 10 10 10 11 12 13 13 12 11 9 8 8 8 8 9 9 10 10 9 9 8 8 9 9 9 10 10 10 10 10 9 9 8 8 8 9 9 9 10 10 11 11 10 9 6 5 4 4 5 7 9 9 10 9 9 9 9 10 10 10 10 8 6 6 7 9 11 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 11 11 11 11 11 11 11 12 12 12 11 11 10 10 10 11 11 12 12 nan
nan 10 11 12 13 13 13 12 13 13 14 15 14 13 12 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 11 12 12 12 12 11 10 9 9 8 8 8 8 8 8 8 7 7 7 8 9 10 11 11 10 10 10 10 11 12 13 13 13 12 11 9 8 8 10 10 9 7 6 7 9 11 11 11 11 10 9 9 10 12 13 12 11 9 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 8 8 8 8 9 10 10 11 11 11 10 8 6 3 1 1 1 2 3 4 6 6 6 6 6 7 8 9 9 8 4 3 4 6 10 13 14 14 13 12 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 12 12 11 11 10 10 10 10 10 11 11 nan
nan 11 12 12 12 12 12 11 13 14 15 15 14 13 11 10 9 9 9 9 9 9 9 10 10 9 9 8 8 8 9 9 10 10 10 10 11 11 11 10 10 9 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 11 12 14 14 13 12 10 9 9 10 10 9 7 6 7 8 10 11 11 11 10 10 10 10 11 11 10 10 9 9 9 10 10 10 9 9 9 10 10 10 11 11 12 12 12 12 12 11 10 10 9 8 7 8 8 9 10 10 10 10 9 9 8 7 5 5 5 4 2 1 1 1 1 1 1 2 3 5 6 5 3 1 2 5 10 14 15 13 12 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 8 9 9 10 10 10 10 10 11 11 11 11 11 10 10 10 10 9 9 9 10 10 nan
nan 10 11 11 11 11 11 11 13 15 16 15 14 12 11 10 10 9 9 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 12 12 12 11 10 9 9 9 8 8 8 9 9 10 10 10 10 11 12 12 12 11 11 12 13 14 14 13 11 10 10 11 11 10 9 7 7 8 9 10 11 10 10 11 12 12 12 11 11 10 10 11 12 13 12 11 10 10 10 10 10 11 12 13 13 13 13 12 12 11 10 10 9 8 7 7 8 9 9 8 8 7 8 9 9 10 10 10 11 10 7 4 3 1 0 -0 0 2 4 5 4 3 1 2 7 12 18 19 16 13 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 8 8 8 9 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 9 9 10 10 nan
nan 9 10 10 10 11 11 13 15 15 16 15 13 11 10 10 10 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 7 7 7 7 8 9 11 12 13 13 12 11 10 10 9 9 9 9 9 10 10 10 11 11 12 12 12 12 12 13 13 14 14 13 11 10 11 11 11 11 10 9 8 8 9 9 8 8 8 10 11 13 13 13 12 12 12 13 14 14 13 12 11 10 10 10 11 12 13 13 13 13 12 11 11 10 10 10 9 8 8 8 8 8 7 6 6 6 8 9 11 12 12 13 13 12 10 8 7 6 5 5 6 8 9 9 8 7 7 10 15 21 23 20 16 12 10 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 9 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 9 10 10 nan
nan 9 10 11 11 11 12 14 15 15 14 13 11 10 10 10 10 9 9 8 7 7 7 7 7 7 8 8 8 9 8 8 8 7 6 6 7 7 8 10 12 13 13 13 12 11 11 11 11 11 11 11 11 12 12 11 11 11 11 12 13 14 14 14 13 12 11 11 11 11 12 12 11 10 10 10 10 9 7 6 6 7 8 9 11 12 13 14 15 15 15 14 13 11 10 10 11 11 11 11 12 12 12 12 11 10 10 10 10 10 10 10 9 9 8 7 6 6 6 6 8 9 10 11 12 12 12 11 10 10 9 9 9 10 11 13 14 15 15 14 16 18 21 23 21 18 14 11 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 9 9 10 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 1 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 39 180 728 1520 2173 2521 2659 2789 2951 3123 3268 3354 3364 3318 3274 3256 3253 3227 3173 3115 3070 3013 2973 2939 2912 2881 2829 2739 2588 2335 1964 1480 953 501 218 103 62 38 18 5 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 7 10 10 7 7 14 43 115 196 209 199 263 355 375 312 298 272 200 128 79 55 45 41 18 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 5 29 112 353 823 1492 2216 2620 2877 3097 3259 3331 3325 3307 3309 3326 3341 3337 3300 3238 3184 3118 3062 3025 2984 2929 2841 2678 2348 1898 1342 765 339 132 69 45 31 22 15 9 5 2 0 0 0 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 10 20 15 10 10 16 27 35 39 30 13 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 1 1 1 1 1 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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