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 nan
nan 4 6 7 9 10 10 11 11 11 10 10 10 9 8 8 7 8 9 10 10 9 9 8 8 8 8 8 8 8 8 8 7 6 6 5 5 5 4 4 5 7 8 10 10 9 7 6 7 10 13 15 16 16 16 16 16 15 13 12 12 11 10 10 10 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 7 7 6 6 6 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 9 10 10 11 11 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 nan
nan 5 7 8 10 10 10 10 11 10 10 9 9 8 7 6 5 6 7 8 9 9 8 8 8 8 8 8 8 8 8 8 7 6 5 5 6 7 7 6 6 7 8 9 11 11 10 9 9 10 13 15 15 14 14 13 13 12 11 10 9 9 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 10 9 9 8 8 8 8 7 6 6 6 6 6 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 9 10 10 11 11 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 9 10 10 10 10 10 9 9 9 9 9 10 nan
nan 6 7 9 9 10 10 10 10 9 9 9 9 8 8 7 6 5 6 6 6 7 7 6 6 6 7 8 8 9 9 9 8 6 6 6 7 8 7 6 5 6 8 10 12 14 14 13 12 12 13 14 13 12 11 10 9 9 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 10 10 11 11 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 nan
nan 7 7 8 9 9 9 9 9 8 8 9 9 9 9 9 8 8 7 6 6 6 6 6 6 6 7 8 9 10 10 10 9 8 7 7 8 8 7 6 5 6 8 11 15 18 19 18 16 15 14 13 11 10 8 7 7 7 7 7 7 7 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 10 10 11 12 13 13 13 12 12 12 11 11 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 9 8 8 8 9 9 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 nan
nan 8 7 7 7 8 9 9 9 9 9 10 11 12 13 13 13 12 11 10 8 7 7 8 8 7 7 8 9 10 10 10 9 9 9 9 8 8 7 6 5 6 8 11 15 19 20 19 18 16 14 12 10 9 8 7 7 7 8 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 11 12 13 13 14 14 13 13 12 11 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 9 9 8 8 9 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 nan
nan 8 7 6 7 7 8 9 10 11 12 14 16 18 20 21 21 19 17 14 11 9 8 8 8 8 7 7 8 8 9 9 9 10 10 10 8 6 5 6 7 9 9 11 13 15 17 18 16 15 13 11 10 10 9 9 9 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 13 13 13 13 12 11 11 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 nan
nan 8 7 7 7 7 8 10 13 15 16 16 18 22 26 28 28 26 22 18 13 10 8 8 7 7 6 5 6 6 7 7 8 10 11 10 8 6 5 6 9 12 13 13 13 13 14 14 14 13 12 11 11 11 11 11 11 11 12 12 12 13 12 12 11 9 8 8 9 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 13 13 12 12 12 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 8 8 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 8 9 9 nan
nan 8 7 7 7 8 9 11 13 15 15 15 16 19 24 27 29 28 25 20 15 12 9 9 8 8 6 5 5 6 6 7 8 9 10 10 8 7 6 7 9 12 14 15 14 13 11 11 10 10 10 9 10 11 12 12 12 12 12 12 13 13 13 13 12 10 9 8 9 9 10 10 11 11 11 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 7 7 7 8 8 8 9 10 10 10 9 10 10 10 10 10 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 9 9 8 9 9 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 8 8 8 9 9 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 nan
nan 9 8 7 7 7 8 9 10 11 11 11 12 13 16 19 22 24 23 20 16 13 11 10 10 9 8 8 7 8 8 8 8 8 8 8 7 7 6 5 6 8 10 12 12 11 10 8 7 7 7 8 9 11 12 13 13 13 12 12 12 13 14 14 14 13 11 10 9 9 9 10 10 11 11 11 10 10 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 6 6 7 7 8 9 10 10 10 10 10 10 11 11 11 11 12 12 13 13 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 11 10 10 10 11 10 10 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 8 8 8 7 7 7 7 8 8 8 nan
nan 8 7 7 6 6 6 6 7 9 9 7 7 7 9 13 16 19 19 18 16 15 13 12 11 10 9 9 9 10 10 10 10 9 7 6 6 5 4 3 3 4 6 8 9 9 8 8 7 7 7 8 10 12 13 13 13 13 12 12 12 12 13 14 15 15 14 12 11 10 10 10 10 10 10 10 10 10 9 9 9 9 10 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 8 8 7 7 7 7 8 9 9 10 10 11 11 11 11 11 12 12 12 13 13 13 13 13 12 12 12 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 9 9 9 9 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 nan
nan 6 6 6 6 5 4 5 7 10 10 7 5 5 7 11 13 15 16 17 17 16 15 14 12 10 9 9 9 10 10 11 11 11 9 7 5 4 2 1 1 2 4 6 8 9 9 9 9 9 10 11 12 13 13 13 13 12 13 12 12 12 12 13 15 16 15 14 13 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 9 9 9 9 8 8 8 8 8 8 9 10 10 10 11 11 12 12 12 12 12 12 13 12 12 12 12 12 12 12 11 11 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 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 9 9 9 9 9 9 nan
nan 3 4 5 5 5 4 5 7 10 10 7 6 7 9 12 14 14 15 15 17 17 17 16 14 12 10 9 9 9 9 10 11 12 12 10 8 6 4 2 2 3 5 6 8 10 10 11 11 12 12 12 12 12 11 11 11 12 12 12 11 11 10 11 13 15 15 15 15 13 12 11 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 7 7 8 8 9 9 10 10 10 10 9 9 9 9 9 9 8 9 9 10 10 10 11 12 12 12 12 11 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 9 9 10 10 10 10 11 11 10 10 10 10 11 11 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 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 nan
nan 2 1 2 3 3 4 5 6 6 6 5 7 9 12 14 15 14 14 15 16 16 16 16 15 13 11 10 10 10 10 11 12 13 13 13 12 10 8 6 5 6 7 8 10 12 13 13 13 13 12 11 10 10 9 9 10 10 11 10 10 9 9 10 12 14 15 16 16 15 13 11 10 9 9 9 9 9 10 9 9 10 10 10 11 11 10 9 9 9 9 9 8 8 9 10 10 10 10 10 10 9 9 9 8 9 10 10 11 12 12 12 12 12 11 10 10 10 11 11 11 12 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 2 1 1 1 3 5 5 5 4 4 6 10 14 15 15 14 13 13 13 13 14 14 13 12 11 10 10 11 13 15 16 16 15 15 15 14 13 12 11 10 10 11 12 14 15 15 15 13 12 11 9 9 8 8 9 10 10 9 8 6 6 7 8 11 13 15 16 16 16 14 13 12 11 10 10 10 10 10 10 10 10 11 11 12 11 11 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 11 12 12 13 13 12 11 10 9 9 10 10 11 11 11 11 11 10 9 9 8 8 8 8 8 9 10 10 10 10 10 10 10 10 11 11 10 10 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 nan
nan 3 3 3 3 4 7 8 8 8 9 12 17 19 18 15 13 11 11 10 10 10 10 10 9 9 8 9 11 15 20 22 22 20 19 17 16 16 15 14 13 14 15 16 16 17 16 15 13 11 9 8 7 8 8 10 11 11 9 6 3 2 3 6 10 13 14 15 16 16 15 14 14 13 12 11 11 10 10 10 11 11 12 12 12 11 11 11 11 11 11 10 10 10 11 10 10 10 10 10 11 11 10 9 9 9 9 10 11 12 12 12 11 10 9 9 9 10 10 11 11 11 11 10 9 9 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 11 11 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 10 11 11 10 10 10 9 9 9 9 9 8 8 8 8 8 nan
nan 7 7 8 7 8 9 11 11 12 14 17 20 21 19 16 13 11 10 10 10 10 11 10 10 9 9 9 10 12 14 17 19 20 20 19 18 17 17 16 16 16 17 17 17 16 15 13 12 10 9 7 7 8 9 10 12 12 10 7 2 -1 1 4 8 11 14 15 15 15 15 15 15 14 14 13 12 11 11 11 12 12 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 10 10 10 10 10 10 9 8 8 9 10 10 11 11 11 11 10 9 9 9 9 10 10 10 11 11 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 10 11 11 11 11 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 7 7 7 nan
nan 12 12 11 11 11 12 12 12 14 16 19 22 23 20 16 13 11 11 11 12 14 15 15 14 14 13 13 11 8 6 6 9 12 16 18 19 19 19 18 18 18 17 16 14 13 12 12 11 9 8 7 7 7 8 9 11 11 11 9 5 1 2 4 7 10 12 14 14 15 15 15 15 14 14 13 12 12 12 12 12 11 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 8 8 9 10 11 11 11 11 10 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 11 11 11 10 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 9 10 10 9 9 9 9 8 7 7 7 7 7 8 8 7 7 6 5 5 nan
nan 15 13 11 10 11 12 12 12 13 16 20 23 23 19 14 12 10 11 12 15 17 18 18 17 17 17 15 13 9 6 4 5 8 11 16 19 21 21 20 19 18 16 14 12 11 11 10 10 9 8 7 6 6 7 7 9 10 10 10 9 7 6 6 7 9 11 13 13 13 13 13 13 13 13 12 12 12 12 12 12 11 9 9 9 10 9 9 9 9 9 9 9 9 9 10 10 10 9 10 10 10 9 9 9 9 10 10 11 11 11 11 10 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 9 9 9 8 8 8 9 9 9 9 8 7 7 7 7 8 8 9 9 9 9 8 7 6 6 nan
nan 13 11 8 6 7 9 9 9 10 13 17 20 19 16 12 11 10 11 12 14 16 17 16 16 16 16 15 14 12 11 10 9 9 11 15 19 21 21 20 19 17 15 12 10 9 9 9 9 9 8 6 5 4 5 5 7 8 10 11 13 13 12 10 9 9 10 12 12 12 12 11 11 11 11 10 10 10 11 12 11 10 8 8 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 8 9 10 11 11 11 10 10 10 9 9 9 10 10 10 9 9 10 10 10 11 10 10 10 10 10 9 9 8 8 8 9 9 10 10 11 11 11 10 10 10 10 10 9 9 9 9 9 8 8 9 9 10 10 10 10 10 10 10 10 9 9 8 7 7 7 7 7 6 6 6 6 7 7 8 9 10 10 10 11 11 11 10 10 9 nan
nan 10 9 7 5 5 6 6 6 7 10 14 15 14 12 11 11 11 11 11 12 13 13 13 13 13 13 13 14 14 13 11 10 9 11 14 17 18 19 18 17 16 13 11 9 8 7 7 8 8 8 6 4 3 3 5 7 8 9 11 14 16 16 14 11 10 10 11 11 10 10 10 10 9 8 8 8 9 10 11 11 9 9 10 10 10 9 8 7 8 9 10 10 9 9 10 10 9 9 9 9 8 8 8 8 10 11 11 11 11 10 10 9 9 10 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 8 8 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 8 7 6 5 4 4 4 4 3 3 3 4 5 7 8 8 9 9 9 10 11 12 12 11 10 nan
nan 6 6 5 4 4 4 4 4 5 8 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 12 14 14 13 10 7 5 7 11 13 15 15 15 15 13 11 9 8 7 6 6 6 7 7 6 4 3 3 5 7 8 10 12 15 17 17 16 13 11 11 11 10 9 9 9 9 8 7 7 7 9 10 11 11 10 11 12 12 11 10 9 8 9 10 11 11 11 11 11 10 9 9 8 8 8 7 7 7 9 10 11 12 11 11 10 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 8 6 5 4 4 4 4 4 3 3 4 4 4 4 4 5 6 7 8 8 9 9 10 10 9 9 nan
nan 4 3 3 3 4 5 4 4 4 7 11 12 11 10 10 11 11 11 10 10 9 9 8 6 6 7 9 12 14 12 9 5 2 4 7 9 11 13 13 12 11 9 8 7 6 6 6 6 7 7 6 5 4 4 5 6 8 10 13 16 18 18 16 14 12 12 11 10 9 9 9 9 8 7 7 7 8 9 10 11 11 12 12 12 12 12 11 10 10 11 12 12 12 11 10 9 9 8 8 8 8 7 7 8 8 9 10 11 11 10 10 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 7 6 6 6 7 8 9 8 8 8 8 9 9 8 7 6 7 8 9 9 9 9 9 8 8 8 8 nan
nan 7 6 5 5 6 7 7 7 8 10 11 12 12 11 11 11 11 11 11 10 10 9 8 5 4 5 7 10 13 12 9 5 2 3 6 8 9 10 11 10 9 8 7 7 7 7 7 7 7 7 7 7 5 4 5 7 9 12 15 17 19 19 16 14 13 13 13 12 10 9 9 9 8 7 7 7 8 9 9 10 10 10 10 11 11 11 11 11 11 12 12 13 12 10 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 7 7 7 6 7 8 9 10 11 11 11 11 11 11 11 11 12 12 11 11 11 11 10 9 8 8 8 8 8 nan
nan 9 9 7 7 7 8 10 12 14 14 14 14 13 13 12 11 10 10 10 11 12 12 10 7 5 5 8 11 13 14 10 6 3 4 6 8 8 8 9 8 7 7 7 7 7 7 7 6 7 8 8 8 8 7 8 9 12 15 17 18 19 18 16 14 14 14 14 13 10 9 9 9 8 7 7 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 12 12 11 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 11 11 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 10 10 11 12 13 13 12 11 11 10 10 9 8 8 8 9 9 nan
nan 8 7 6 5 5 7 10 15 17 17 16 15 15 14 14 12 10 9 9 11 12 13 11 7 6 7 10 14 15 14 11 7 6 6 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 10 12 13 15 18 20 20 19 17 14 13 13 13 13 12 10 9 9 9 8 8 8 9 10 11 11 11 10 9 9 9 9 9 10 9 9 9 10 11 11 11 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 6 6 7 8 8 9 9 10 10 11 12 11 10 10 9 9 9 8 8 8 8 8 8 nan
nan 7 6 6 5 5 6 9 13 15 14 14 14 15 15 15 13 11 10 10 9 9 8 4 3 5 10 14 16 15 13 10 8 8 8 9 10 10 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 9 11 13 15 17 19 20 20 18 15 12 11 11 11 11 11 10 10 9 9 9 9 9 10 10 11 12 12 12 11 10 9 9 9 9 9 9 9 9 10 11 11 11 10 10 10 9 9 9 10 10 10 10 9 10 10 11 11 11 10 9 7 7 7 7 7 8 8 8 9 9 9 10 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 8 7 7 7 8 9 10 10 10 10 10 11 10 10 10 9 9 9 8 8 8 8 8 8 7 nan
nan 9 9 8 7 7 7 8 10 10 10 11 12 14 15 15 14 13 13 11 8 4 -0 -3 -0 6 12 15 15 12 10 9 9 9 9 10 10 11 10 10 10 9 9 9 9 9 9 9 8 8 7 6 7 8 11 13 14 15 16 17 17 15 13 10 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 10 9 8 9 9 10 10 9 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 11 11 12 11 10 8 7 6 6 6 7 8 8 8 9 9 10 10 9 9 9 9 8 8 8 9 9 9 10 10 10 10 10 10 9 10 10 10 9 9 9 9 9 9 9 9 10 11 12 13 12 11 9 8 7 7 7 8 10 11 12 13 13 12 12 11 11 10 10 10 9 9 9 9 9 8 8 8 8 7 nan
nan 10 10 9 8 7 7 7 9 10 11 11 11 12 13 13 13 13 12 9 5 -0 -4 -3 3 10 13 14 13 10 9 9 9 10 10 9 9 9 10 10 11 10 10 10 9 9 9 9 9 9 8 7 7 9 11 12 12 12 12 13 12 11 10 9 8 8 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 8 8 7 8 9 10 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 9 8 7 6 5 6 7 8 8 8 8 9 10 10 9 9 9 9 9 9 9 8 8 8 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 10 11 12 12 11 8 6 5 5 6 8 11 13 14 14 15 15 14 13 12 11 10 10 10 10 10 10 10 10 9 8 8 7 7 nan
nan 9 8 7 5 4 3 5 9 14 16 16 14 12 10 10 9 9 8 5 1 -3 -4 1 8 12 14 13 11 9 8 9 10 11 11 9 8 7 8 9 10 10 10 9 9 8 9 9 10 10 10 9 9 10 11 12 11 10 10 9 9 9 8 8 8 8 9 9 10 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 9 8 8 8 9 9 9 9 9 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 6 5 5 5 6 7 7 7 8 9 9 10 9 9 9 9 9 9 9 8 8 7 7 7 8 9 10 10 10 10 11 10 10 10 10 10 10 8 7 7 7 8 10 9 8 6 5 5 6 8 10 12 13 14 14 15 15 14 13 11 10 9 9 10 10 10 11 11 11 11 10 9 8 8 nan
nan 8 7 6 5 4 3 5 11 17 21 21 17 12 8 6 5 5 4 3 -1 -4 -2 4 10 13 14 13 11 9 9 9 11 12 12 10 8 7 7 7 8 9 10 9 9 8 9 9 10 10 11 11 11 11 12 12 11 10 9 8 8 8 8 7 7 7 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 7 7 7 7 7 8 8 8 7 8 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 9 9 9 8 8 8 7 7 5 5 5 6 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 7 6 6 6 7 6 6 6 7 7 7 7 7 7 6 7 7 6 6 6 7 8 8 8 8 8 8 8 9 10 11 11 12 12 12 13 13 13 12 10 9 8 8 9 9 10 11 11 12 12 11 10 9 9 nan
nan 9 8 7 8 9 10 10 13 18 21 21 17 11 5 2 2 3 4 4 1 -1 2 6 11 14 14 13 12 10 9 9 10 11 12 11 9 8 8 8 8 9 9 10 9 9 9 9 10 10 11 12 12 12 12 12 12 12 10 9 9 9 8 7 7 7 8 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 8 8 8 8 9 10 11 11 11 11 10 10 10 9 9 9 10 10 10 9 8 8 8 8 8 7 6 5 5 6 7 8 8 8 7 7 7 8 8 9 8 8 8 9 9 7 6 6 6 7 6 6 6 6 6 6 6 6 6 7 7 7 8 9 9 10 10 10 11 11 11 11 10 10 10 10 11 11 11 11 11 12 12 11 10 9 8 8 8 9 9 10 10 11 11 10 10 10 10 nan
nan 9 10 11 13 15 16 16 17 18 19 19 15 9 4 1 1 4 6 8 6 5 6 9 11 13 13 13 12 11 11 10 10 10 11 10 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 11 12 12 12 12 12 12 11 11 10 9 9 8 7 7 8 9 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 9 9 10 9 8 8 8 8 10 11 12 12 12 11 10 10 10 9 9 9 9 10 10 9 9 9 9 9 8 8 7 6 6 6 7 8 7 7 6 5 5 6 8 9 9 9 10 11 11 9 8 7 8 8 8 9 9 10 10 10 10 10 10 10 11 11 12 12 13 13 12 12 12 12 11 11 10 9 9 9 10 11 11 11 11 12 12 12 12 11 10 9 9 9 9 9 10 10 10 9 9 9 9 nan
nan 7 10 14 17 18 18 17 18 18 18 18 13 7 4 1 2 4 8 10 11 10 10 11 11 12 12 12 12 12 12 12 11 11 9 8 8 8 9 10 11 11 11 11 10 10 9 10 10 10 10 10 10 11 11 12 12 12 12 12 11 10 9 8 8 8 8 9 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 10 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 5 5 6 6 5 5 5 5 6 6 8 9 10 11 12 13 12 11 9 8 8 9 10 11 12 13 13 13 13 13 12 12 13 13 13 13 13 14 13 13 12 12 11 10 9 9 9 9 9 9 9 10 10 11 12 12 13 12 11 10 9 9 9 9 10 10 10 9 9 9 9 nan
nan 5 7 11 15 17 16 15 15 16 17 17 13 7 4 2 2 4 8 11 13 13 13 13 13 13 12 12 12 13 13 13 12 12 10 8 7 8 9 11 11 12 12 11 10 10 10 10 10 10 10 10 10 10 11 11 12 13 13 13 12 11 10 9 9 9 9 9 9 9 10 11 11 10 10 9 9 8 8 8 8 8 9 9 9 9 8 8 9 9 9 9 9 9 10 10 10 10 9 8 8 8 9 9 9 8 8 8 8 8 9 9 8 8 7 7 6 6 5 5 4 4 4 5 6 7 8 8 9 10 11 12 12 12 11 10 10 10 10 11 11 12 13 14 14 13 13 12 12 12 12 12 13 13 14 13 13 12 11 11 10 9 9 9 8 8 7 7 8 9 10 11 11 11 11 11 11 10 9 9 9 10 10 10 10 10 10 10 nan
nan 4 5 7 10 12 12 12 12 13 14 15 13 9 4 2 2 4 8 12 15 16 16 15 15 14 14 13 13 13 12 12 13 12 11 9 9 9 10 11 11 12 11 11 11 10 9 9 10 10 10 10 10 10 11 11 12 13 13 13 12 11 10 9 9 10 10 9 9 9 10 11 12 12 12 11 10 9 9 9 8 9 9 9 9 9 9 9 9 9 10 10 9 9 9 8 8 8 7 7 7 8 8 9 9 9 9 8 8 8 8 9 8 7 7 7 7 7 8 7 5 5 5 5 6 7 8 9 10 10 11 11 11 10 10 10 10 10 11 11 11 12 12 12 12 12 11 11 10 10 10 11 12 13 13 13 13 12 11 10 10 9 9 9 8 7 7 8 8 9 9 10 10 10 11 11 11 10 9 9 9 10 10 10 10 10 10 10 nan
nan 4 5 6 8 10 11 11 11 10 11 12 12 9 6 4 4 5 10 14 16 17 18 17 16 15 14 14 13 12 11 11 11 11 11 11 10 11 11 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 11 11 12 13 13 13 13 12 10 10 10 10 10 10 9 9 9 10 11 12 13 12 11 11 10 10 9 9 9 9 9 9 8 8 9 10 10 10 9 8 8 8 8 8 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 7 8 9 11 11 10 8 7 6 6 7 8 9 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 10 11 11 12 12 11 11 10 10 10 10 9 9 8 8 8 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 9 nan
nan 6 8 11 13 14 13 12 11 10 10 11 11 10 8 7 8 10 13 15 17 18 18 17 17 16 15 14 14 13 12 11 10 11 12 12 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 10 10 11 12 12 12 13 13 13 12 11 10 10 10 10 10 10 9 9 10 11 11 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 8 7 6 6 7 9 12 13 13 12 10 9 8 8 9 10 11 11 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 10 10 11 11 11 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 11 11 10 10 10 9 9 9 9 9 9 9 10 9 9 9 nan
nan 9 14 18 20 19 17 15 13 13 14 14 14 14 13 13 13 14 15 16 16 16 16 16 16 16 16 15 15 14 13 13 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 10 11 11 12 12 12 13 13 13 12 11 11 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 10 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 10 11 11 11 11 11 11 10 9 8 6 5 5 6 9 12 13 13 12 10 10 9 10 10 11 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 10 11 11 11 10 10 10 11 11 11 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 9 nan
nan 11 16 21 22 21 20 18 18 18 19 20 19 19 19 18 17 16 15 14 13 13 13 14 15 15 15 15 15 15 15 14 14 14 13 12 11 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 10 11 11 12 12 12 12 12 12 12 12 11 10 10 10 10 10 10 10 10 11 12 12 12 12 11 11 10 10 10 10 11 11 11 11 10 10 9 9 9 8 7 8 8 9 9 9 9 10 12 12 12 12 12 12 12 11 10 7 6 5 6 9 11 12 12 11 10 10 10 10 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 10 11 11 11 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
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nan 12 12 13 12 12 12 11 10 10 10 11 11 11 11 11 10 10 10 11 11 11 12 11 11 10 8 7 7 7 7 7 7 7 8 8 9 9 10 9 9 9 10 10 10 10 11 11 12 12 11 10 9 10 11 12 13 13 13 13 13 13 13 13 13 13 13 12 12 11 12 12 13 13 14 15 15 15 15 14 13 12 12 11 11 12 12 12 11 10 10 11 11 12 14 15 16 17 16 16 16 17 19 20 20 18 16 14 12 12 12 12 13 13 14 16 19 22 24 20 11 5 -2 -4 -1 4 9 10 11 10 10 11 11 11 11 11 10 10 10 10 10 11 10 10 10 10 10 11 11 11 11 12 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 11 10 10 10 11 11 10 nan
nan 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 11 10 9 9 9 8 8 8 7 7 7 8 8 9 10 10 10 10 10 10 10 10 11 11 11 11 10 9 10 10 11 12 13 12 12 11 11 12 12 13 13 13 12 11 10 10 11 11 12 13 14 15 15 15 15 14 13 12 11 11 11 11 11 11 11 10 10 10 10 11 11 12 13 14 14 14 15 17 18 19 20 18 17 15 14 14 13 13 14 14 14 16 19 23 26 24 17 10 0 -5 -3 2 7 10 10 10 10 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 9 9 9 9 10 11 11 10 10 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 10 10 9 9 8 8 8 8 9 10 10 10 10 10 10 10 10 10 11 11 11 10 9 9 9 10 11 12 12 11 11 11 11 11 11 12 12 12 11 11 10 10 11 12 12 13 14 15 15 15 15 14 14 13 12 12 12 12 12 12 12 11 11 10 9 7 7 8 9 11 13 13 14 14 14 14 14 15 15 15 15 14 14 14 14 14 14 15 17 21 25 26 22 16 5 -3 -2 2 7 10 10 10 10 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 12 11 10 9 7 7 8 9 10 10 10 10 10 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 nan
nan 8 8 9 9 9 10 10 10 9 8 7 7 7 7 7 7 6 6 7 7 8 9 9 9 8 8 9 9 10 10 10 9 9 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 13 13 13 14 15 15 15 15 15 14 14 14 14 14 15 15 14 14 14 13 11 9 8 7 8 9 11 12 13 13 12 11 10 10 11 13 14 14 15 15 15 15 14 14 14 16 19 23 24 23 18 8 1 2 4 8 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 14 13 10 6 5 6 8 10 10 10 10 10 10 10 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 nan
nan 9 9 9 9 10 11 11 11 10 9 8 7 7 7 7 7 6 5 5 6 7 8 9 9 9 8 8 9 9 10 10 11 11 12 12 12 11 10 10 10 10 9 9 9 9 10 10 11 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 12 13 13 13 13 13 14 14 14 15 15 15 15 14 14 14 14 14 15 17 18 17 17 16 14 13 13 13 14 13 13 13 13 13 13 12 11 9 8 10 11 12 13 14 15 16 15 14 13 13 15 18 22 24 21 14 6 3 5 7 10 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 15 15 13 10 8 7 8 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 nan
nan 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 7 7 6 5 6 6 7 9 10 10 9 9 9 9 9 10 11 11 12 12 12 11 11 10 10 9 9 8 9 9 10 11 11 10 9 9 9 9 9 9 10 10 10 10 9 9 10 10 11 11 12 13 14 14 14 13 13 14 14 14 15 15 15 15 14 13 13 13 14 16 17 18 18 17 16 17 18 19 18 17 15 13 12 13 13 11 9 7 6 8 9 11 12 14 15 15 14 13 12 12 14 18 22 25 21 13 6 4 6 9 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 14 12 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 11 11 11 11 11 11 11 11 11 11 11 nan
nan 11 11 10 9 8 8 9 9 10 10 10 10 9 9 9 8 8 7 7 7 7 8 9 10 10 11 10 10 9 9 9 9 9 10 11 11 11 11 10 10 9 8 9 9 10 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 12 13 14 14 14 13 13 13 13 14 14 14 14 14 14 13 12 12 12 12 14 15 16 17 17 16 17 17 17 15 14 12 11 12 13 14 14 12 9 7 7 8 10 11 13 13 13 14 13 12 11 13 16 20 23 21 16 11 9 9 11 13 12 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 12 12 12 12 12 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 nan
nan 11 10 10 9 7 7 7 9 10 11 11 10 10 10 10 9 8 8 8 9 9 9 10 10 11 11 11 10 10 9 9 9 9 9 10 11 11 11 10 9 8 8 9 10 10 11 11 11 11 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 13 14 15 15 14 13 12 11 12 12 13 13 13 12 12 11 11 11 11 12 13 14 15 16 15 15 14 14 13 13 12 11 12 13 16 18 20 18 16 13 11 10 10 11 12 12 12 12 13 13 13 12 13 14 16 16 16 14 13 13 14 14 13 12 11 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 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 nan
nan 11 10 9 8 7 6 7 9 10 11 11 12 12 11 10 9 9 9 9 9 9 10 10 10 10 10 11 11 10 10 10 10 10 11 11 11 10 10 9 8 8 8 9 10 11 11 12 12 12 11 10 9 9 9 10 10 10 10 10 10 11 11 11 11 12 14 15 16 15 13 11 10 10 11 12 13 12 11 10 9 9 9 10 11 12 13 14 14 12 11 11 12 14 16 17 17 17 18 19 20 21 21 21 19 17 15 13 13 12 12 11 12 13 14 15 14 12 9 8 10 12 13 14 15 15 15 14 13 12 10 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 12 12 12 12 12 12 12 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 nan
nan 12 11 10 8 7 7 8 9 11 12 12 12 12 12 12 10 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 12 12 11 11 10 10 9 8 8 8 9 10 10 11 11 12 12 12 12 11 10 9 10 10 11 11 10 10 10 10 10 11 11 12 13 15 15 14 12 10 9 10 11 13 15 15 13 12 10 8 8 9 10 11 12 12 11 10 8 9 10 14 17 18 19 19 18 17 17 17 18 18 17 16 15 15 14 13 12 10 10 13 15 17 16 13 8 5 6 8 11 14 15 15 15 15 14 13 11 10 10 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 12 12 11 10 9 9 9 10 12 12 12 12 12 12 11 10 10 10 10 10 10 10 9 8 7 7 7 8 10 11 11 11 11 11 10 10 10 9 9 9 9 9 10 10 11 11 12 12 13 13 12 10 10 10 11 12 12 11 10 10 10 11 11 11 12 13 13 14 13 11 10 10 12 14 17 19 19 17 15 12 10 9 9 9 9 10 10 9 7 6 7 9 13 16 16 16 16 15 14 13 13 13 14 14 14 14 14 13 12 10 9 10 13 15 18 17 13 9 6 6 8 10 13 14 14 15 15 14 13 12 12 11 10 10 10 10 10 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 12 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 11 12 12 12 11 11 11 12 12 12 11 11 10 10 10 10 10 10 11 11 11 11 10 9 8 7 6 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 11 11 12 12 12 12 10 10 11 12 12 12 10 10 10 11 12 12 12 12 12 12 12 12 12 12 12 14 16 18 20 20 20 18 16 13 12 10 9 9 9 9 7 5 5 7 10 15 17 16 15 14 13 13 12 12 12 13 13 13 14 14 14 13 10 8 9 13 16 18 16 11 8 6 7 9 12 13 14 14 14 14 14 13 13 12 12 11 10 10 10 10 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 11 11 12 13 12 12 11 11 11 11 10 10 10 9 9 8 9 9 10 10 11 11 11 11 9 8 7 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 10 10 10 11 11 11 11 11 11 11 12 12 11 10 10 10 11 13 13 13 12 11 11 11 11 12 12 13 13 14 16 17 18 19 20 19 17 14 12 11 10 10 8 7 6 6 9 14 16 17 16 15 14 13 13 13 13 13 13 12 12 13 14 15 15 12 10 10 13 15 17 14 9 6 5 6 10 12 13 13 13 13 13 13 13 13 13 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 11 12 12 12 12 11 10 10 9 9 9 9 9 9 9 8 9 9 9 10 10 11 11 10 9 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 11 12 13 13 12 12 11 10 10 11 11 11 11 11 12 12 13 15 17 19 19 17 16 13 11 10 10 9 9 9 9 12 15 16 16 15 15 14 13 13 13 13 13 12 11 11 12 13 15 16 15 13 13 13 15 14 11 8 6 5 8 10 11 12 12 12 13 13 13 13 13 13 12 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 12 13 13 12 11 10 10 9 9 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 8 8 8 9 10 11 11 11 11 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 11 11 10 10 10 10 10 10 10 10 10 10 10 11 12 13 15 16 15 14 13 11 10 10 10 11 11 12 13 14 14 15 15 15 15 14 14 13 13 12 11 9 9 9 11 14 16 16 15 15 15 14 12 9 7 6 7 10 11 12 12 12 12 12 12 13 13 14 13 13 12 10 9 9 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 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 nan
nan 14 14 13 12 10 10 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 8 9 9 10 11 12 12 12 12 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 10 10 11 11 11 11 10 10 9 10 12 13 12 11 11 12 13 16 18 18 17 15 14 13 12 11 9 8 8 9 11 13 15 16 17 17 16 14 11 8 7 7 9 11 12 12 12 12 12 12 12 12 13 13 14 13 13 11 10 9 9 9 10 10 10 10 10 10 11 11 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 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 nan
nan 14 13 13 12 11 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 10 11 12 13 13 13 13 13 13 12 12 11 10 10 9 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 7 7 8 10 12 12 10 8 7 10 14 18 21 19 17 15 14 13 11 10 9 9 9 11 12 14 16 17 18 18 17 14 11 8 8 9 11 12 12 12 12 12 12 12 12 12 12 13 14 14 14 13 11 10 10 9 9 9 9 9 9 10 10 11 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 nan
nan 13 13 12 11 10 10 10 11 11 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 13 14 15 15 15 15 14 14 13 12 12 11 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 11 11 11 11 10 10 10 11 12 13 13 13 13 13 13 12 12 12 11 11 10 9 9 9 9 7 4 3 4 7 10 12 10 6 5 6 11 16 21 21 18 17 15 13 11 10 10 10 11 12 14 15 16 17 18 20 20 17 14 11 9 9 11 12 13 13 13 12 12 12 12 11 11 12 12 13 13 14 14 13 12 12 11 10 10 9 9 9 9 10 11 12 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 12 11 11 12 12 nan
nan 13 13 12 11 10 10 11 12 13 14 13 12 11 11 11 11 10 10 10 10 10 10 10 10 11 11 12 14 15 16 16 15 14 13 12 11 11 11 10 11 11 11 12 11 11 10 10 10 10 10 10 10 11 11 12 12 12 11 10 10 11 12 13 13 13 13 13 13 14 14 14 14 13 12 11 10 10 10 10 9 7 4 3 5 9 12 13 9 5 7 11 17 22 24 21 18 16 13 12 11 10 11 13 15 16 17 18 18 19 20 20 19 15 12 10 10 11 12 12 13 13 13 13 12 12 12 12 11 11 12 12 13 13 13 13 13 13 13 13 12 12 11 10 10 10 11 11 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 nan
nan 13 13 12 11 10 10 11 13 14 14 13 12 11 11 10 10 10 10 10 10 10 10 10 10 11 12 13 14 15 14 13 11 11 11 11 11 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 12 13 14 14 14 13 11 10 10 12 12 13 13 12 12 12 13 13 14 15 14 13 11 9 9 10 10 10 10 8 6 7 9 12 14 14 11 10 12 15 21 24 23 20 17 14 11 9 9 10 11 14 15 17 18 18 19 20 21 20 18 13 10 7 9 11 12 13 13 12 13 13 12 12 12 12 11 11 11 12 12 12 12 13 13 13 14 14 14 13 13 12 11 10 10 10 11 12 12 11 10 9 8 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 nan
nan 12 12 12 11 11 11 12 13 14 13 12 11 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 9 8 8 8 10 10 11 12 12 12 11 11 11 11 12 12 13 13 14 14 14 14 15 16 17 16 15 12 11 10 10 11 12 12 12 12 11 11 12 13 14 14 12 11 9 8 9 10 11 11 10 9 9 10 12 13 14 12 11 10 10 12 17 20 20 18 16 12 9 7 7 8 9 10 11 13 15 17 18 20 22 21 19 14 10 7 8 11 12 13 13 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 12 13 13 14 14 14 13 13 12 11 10 10 11 12 12 12 11 10 8 8 8 8 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 nan
nan 12 12 12 12 12 12 13 13 13 12 11 10 9 9 10 10 10 10 10 10 10 11 11 11 11 11 10 9 7 7 7 7 9 10 10 11 12 13 13 12 12 12 11 12 13 14 15 16 17 17 17 18 18 17 15 13 11 10 10 10 11 11 11 12 12 12 11 12 12 12 12 11 10 9 8 10 10 11 11 11 11 11 11 11 10 8 5 4 4 6 10 17 21 21 20 16 11 8 7 8 9 11 12 12 13 15 17 19 21 22 22 21 18 14 12 11 12 13 13 13 13 13 12 12 12 12 12 12 11 11 11 11 12 12 12 12 13 13 13 13 13 13 13 13 13 12 11 11 12 12 12 12 11 10 9 9 8 9 10 10 10 9 9 9 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 nan
nan 12 12 12 12 12 12 13 13 13 12 11 10 9 9 9 9 10 10 10 10 10 11 12 12 12 11 9 9 8 9 9 10 11 10 10 11 11 12 12 12 12 12 12 12 12 13 13 14 14 15 15 15 15 14 13 11 10 10 10 10 10 11 12 12 13 12 12 11 11 11 11 11 10 9 9 10 10 11 11 11 11 11 9 8 5 2 1 1 3 9 16 23 25 24 21 15 11 10 10 11 12 14 16 17 17 18 19 20 21 22 23 22 20 17 15 14 14 14 14 13 13 13 13 12 12 12 12 11 11 11 12 12 12 12 13 13 13 14 14 14 13 13 13 14 14 14 14 13 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 nan
nan 13 13 12 11 11 12 12 12 12 11 10 10 9 9 9 9 9 9 10 10 11 12 12 13 13 12 12 12 12 12 13 12 12 11 11 10 11 11 11 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 10 10 10 10 11 12 12 12 12 12 12 11 11 10 10 9 9 9 9 10 10 11 11 11 10 9 7 5 4 4 6 10 16 22 25 24 21 17 14 12 12 11 11 12 14 16 18 19 20 20 21 22 23 24 23 20 17 16 15 15 14 14 14 13 13 13 13 12 12 12 12 11 11 12 12 12 13 13 13 13 14 14 14 13 13 13 14 14 14 14 14 13 12 12 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 nan
nan 13 13 12 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 11 11 12 13 13 13 13 13 13 14 14 14 13 13 12 12 12 12 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 10 10 11 12 12 12 12 12 12 12 11 10 10 9 8 8 8 8 9 9 10 11 11 11 11 10 9 9 9 10 14 19 21 22 19 16 14 13 13 13 11 9 9 10 13 16 18 20 21 23 24 25 25 23 20 17 15 14 14 14 14 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 11 11 10 10 10 10 11 11 11 12 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 9 9 9 10 10 11 11 nan
nan 12 12 11 10 10 10 10 10 9 9 8 8 8 9 9 10 11 11 12 13 14 14 14 14 14 14 14 14 14 13 12 12 12 13 13 13 13 13 12 12 12 12 12 11 12 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 11 11 10 9 9 9 9 9 9 9 10 11 12 12 12 12 11 10 9 9 12 17 19 19 17 14 13 13 13 13 10 7 7 9 12 15 18 20 22 24 25 26 24 21 18 16 14 14 14 14 14 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 11 11 11 10 10 10 10 11 11 11 11 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 13 13 12 10 7 5 3 4 7 9 10 11 nan
nan 11 10 9 8 8 8 9 10 10 10 9 8 8 8 9 10 10 11 12 13 14 15 15 14 14 13 13 13 13 12 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 11 12 13 13 13 12 11 10 8 8 12 16 18 18 16 13 13 13 13 12 10 8 9 11 14 17 19 20 22 23 24 23 21 19 16 14 14 13 13 13 13 13 13 13 13 12 12 12 12 12 12 11 11 11 12 12 12 12 12 11 10 9 9 9 9 10 11 11 11 11 11 10 10 10 11 11 11 11 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 13 14 14 13 10 6 2 3 5 8 11 11 nan
nan 9 8 7 7 7 8 9 11 11 11 10 8 7 7 8 9 10 11 12 13 13 13 13 13 12 12 12 12 12 11 10 10 10 10 10 11 12 12 11 11 11 10 10 10 10 10 10 10 11 11 12 12 12 11 11 11 11 11 10 10 10 10 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 13 14 14 13 13 12 10 10 11 14 16 17 16 14 12 12 12 13 13 12 11 12 13 15 17 17 18 19 20 20 20 18 16 15 14 14 14 14 14 14 13 13 13 13 12 12 12 12 12 11 11 11 11 11 12 13 13 13 12 10 9 9 9 9 10 10 11 11 11 10 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 12 14 16 17 16 13 9 8 8 10 12 12 nan
nan 8 7 7 8 8 9 11 12 13 13 13 10 8 7 8 9 10 11 12 12 11 11 12 12 11 11 11 11 11 10 10 10 9 9 10 11 11 12 12 12 11 10 9 9 9 9 9 10 11 12 12 12 12 11 11 11 11 11 10 10 10 10 11 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 13 13 13 13 12 12 12 11 11 12 13 14 14 13 12 12 12 12 12 12 12 13 13 14 14 14 14 14 15 16 17 17 16 15 14 14 14 14 14 14 14 14 13 13 13 13 12 12 12 12 11 11 11 11 11 12 13 14 15 13 12 11 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 10 10 11 11 11 11 12 12 12 12 12 12 12 11 12 13 15 16 17 15 13 12 12 12 13 13 nan
nan 8 8 10 11 12 12 13 13 14 15 15 13 10 9 9 9 10 11 11 10 10 9 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 12 12 12 12 11 10 9 9 9 10 10 11 12 12 12 12 11 11 11 11 10 10 10 10 10 11 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 14 14 15 15 15 14 14 14 14 14 14 14 13 13 13 13 13 12 12 12 12 12 12 11 11 12 13 14 14 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 12 11 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 14 13 13 12 12 12 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
3 4 4 4 5 5 5 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 2 2 2 2 2 3 4 5 7 8 9 10 10 10 9 9 9 10 10 10 10 10 8 7 7 6 5 3 3 3 3 3 2 2 2 1 1 1 0 0 0 0 0 1 1 2 2 3 4 5 6
2 3 3 3 4 5 4 4 4 4 3 2 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 2 2 2 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 3 3 3 4 4 4 4 5 6 8 10 11 11 11 10 10 10 10 10 10 10 9 7 5 4 3 3 2 2 2 3 3 2 2 1 1 1 1 0 0 0 0 0 0 0 1 1 1 2 2 2
2 2 2 2 3 3 4 4 3 3 3 2 2 2 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 2 2 3 3 3 3 3 3 3 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 2 3 4 4 4 4 5 6 7 8 10 11 10 10 10 10 11 11 11 10 9 7 4 2 2 2 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0
2 2 2 2 3 4 3 3 3 3 3 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 2 1 1 1 2 3 3 3 3 3 3 4 4 3 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 2 3 4 4 5 6 6 6 8 9 10 10 10 10 10 11 11 11 10 8 6 4 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 0 0 0 0 0 0 0 1 1
1 2 2 3 3 3 3 3 4 3 3 2 2 2 2 2 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 4 4 3 3 3 4 3 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 2 3 4 5 6 7 8 9 10 10 10 11 11 10 10 10 9 7 6 5 3 2 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 1 1 1 1 1 2 1 1 1 0 0 0 0
1 1 2 3 3 3 2 3 4 4 3 3 2 2 2 2 3 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 2 3 2 2 2 3 3 3 4 4 3 3 3 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 2 1 2 2 2 2 3 3 4 6 7 8 9 9 10 10 11 11 11 11 11 10 9 7 5 3 2 2 2 1 1 1 1 1 1 2 1 1 1 2 2 3 2 2 2 3 2 2 2 3 4 4 3 1 1 1 1 0
4 1 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 2 3 3 3 3 3 3 3 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 3 3 3 4 5 6 8 9 10 10 11 10 10 11 10 10 10 10 8 6 4 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 3 4 3 4 3 3 4 3 3 4 4 5 3 1 1 1 1 0
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