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 7 8 9 10 9 9 9 10 10 9 9 8 8 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 8 8 9 9 9 8 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 9 10 11 11 12 12 12 13 13 13 13 14 15 16 16 15 14 14 14 14 14 14 13 13 13 12 11 10 11 12 13 12 10 9 10 11 11 10 10 10 10 10 11 10 10 10 10 10 9 8 8 9 10 11 12 12 11 11 11 11 10 10 9 9 9 9 9 9 10 11 10 10 10 10 10 10 10 10 11 11 12 12 12 11 10 10 9 8 5 3 3 6 9 11 11 11 11 12 13 13 13 12 11 10 9 9 9 9 9 9 8 7 6 6 7 7 7 7 6 5 4 4 3 3 3 3 4 6 8 12 17 nan
nan 7 7 8 9 10 10 10 10 9 9 9 9 9 10 10 10 9 9 8 8 8 9 9 9 9 9 9 8 8 9 9 9 9 9 8 8 8 8 8 8 9 10 10 10 9 9 9 9 9 9 9 8 9 9 9 10 10 11 11 12 12 13 13 13 13 13 14 15 16 16 15 14 13 13 13 12 12 12 11 10 9 8 9 10 12 13 12 11 11 12 12 11 10 9 9 9 10 10 10 9 10 9 9 8 9 9 11 11 12 11 11 11 11 11 11 10 10 10 11 10 9 9 10 11 11 12 11 11 11 11 11 11 11 11 12 12 12 12 11 10 9 8 6 4 4 5 8 10 11 10 10 11 12 12 12 12 11 11 11 10 10 9 9 9 8 7 7 7 7 7 7 7 7 6 4 3 3 2 1 1 3 5 7 9 14 nan
nan 7 7 7 8 9 10 10 10 9 9 8 9 9 9 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 10 11 11 10 9 10 10 9 9 8 8 9 10 10 10 10 10 11 11 12 12 13 13 13 13 14 14 15 16 16 15 13 12 12 11 11 10 10 9 8 8 8 10 12 13 12 12 12 12 12 11 10 10 10 9 10 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 11 12 11 10 9 9 10 11 12 13 13 13 13 13 12 11 11 12 12 13 13 12 10 10 9 8 7 6 6 8 9 11 10 10 10 10 11 12 11 10 11 11 11 11 10 9 9 8 8 8 8 8 8 8 7 7 7 7 6 5 4 3 3 4 5 6 9 12 nan
nan 9 8 8 9 9 10 10 9 9 8 9 9 9 9 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 10 10 10 10 10 10 10 9 8 8 8 8 9 10 10 10 10 10 11 11 12 13 13 13 13 13 14 15 16 16 16 15 13 12 12 11 10 9 9 9 9 11 12 13 13 13 13 13 12 12 12 12 11 11 11 10 11 11 10 9 9 9 9 9 10 9 9 8 8 8 7 7 7 7 8 9 11 11 11 10 9 9 10 11 11 12 13 13 14 14 13 13 12 12 12 13 13 13 12 11 10 10 9 8 7 8 9 10 10 10 9 10 11 11 11 10 10 10 12 12 12 11 9 8 8 8 9 10 10 10 8 7 8 9 9 8 7 7 6 6 6 7 8 9 nan
nan 9 9 9 9 10 10 10 9 9 8 9 9 9 9 10 10 10 10 9 9 9 8 8 8 9 9 9 9 10 9 9 9 9 9 9 8 8 8 7 7 8 9 9 10 10 11 10 10 9 8 8 7 8 9 10 10 10 10 10 10 10 12 12 13 13 13 13 14 14 15 16 16 16 15 14 13 12 11 10 10 11 12 13 13 13 12 12 13 13 13 12 12 12 12 12 12 11 10 10 10 9 9 10 10 10 10 10 9 9 8 8 8 7 7 6 7 8 9 10 10 9 9 9 10 11 11 11 11 11 13 14 14 14 13 12 12 13 14 14 13 12 12 11 10 9 8 7 8 9 9 10 10 10 11 11 11 10 10 10 11 12 13 12 10 9 8 9 9 10 11 10 8 8 9 10 10 9 9 8 8 7 6 6 6 8 nan
nan 9 9 9 9 10 11 11 10 9 8 8 9 9 10 10 10 10 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 11 11 11 10 9 8 8 7 7 8 10 10 10 10 9 9 10 11 11 12 12 13 13 13 14 14 15 15 16 16 15 15 14 13 13 13 13 13 13 13 12 12 12 13 13 12 12 12 12 12 12 11 11 11 10 10 10 11 11 12 12 12 11 11 11 10 10 9 9 8 7 7 7 8 9 9 8 8 9 10 11 11 10 8 9 10 11 12 12 11 11 11 12 13 14 13 13 12 12 11 10 8 7 7 7 8 9 10 10 11 11 11 11 10 9 10 12 13 13 11 10 9 9 10 10 10 9 9 9 10 11 11 10 10 9 8 7 5 5 6 7 nan
nan 9 9 9 9 10 11 11 10 9 9 8 9 10 11 11 10 10 9 9 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 11 11 11 10 9 8 8 7 7 8 9 10 11 10 9 9 9 10 10 11 11 12 13 13 14 14 15 15 15 15 15 15 15 15 14 14 13 13 12 12 12 12 12 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 13 13 12 12 12 11 11 10 10 9 8 7 7 8 9 8 7 7 8 9 10 11 10 8 8 8 9 9 9 8 9 9 10 11 11 11 11 11 12 11 10 9 7 7 6 7 8 9 9 10 10 11 10 10 10 10 11 12 12 12 11 11 11 10 10 10 9 9 9 11 11 12 11 11 10 8 7 6 6 7 8 nan
nan 9 9 9 10 10 11 10 10 10 9 9 9 9 10 11 10 10 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 10 11 11 10 9 8 8 8 7 7 8 10 11 11 10 9 9 9 9 10 10 11 12 13 13 14 14 15 15 15 15 15 15 14 14 13 13 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 13 13 13 12 12 12 12 12 11 11 9 8 8 9 10 8 7 6 6 7 9 10 10 9 8 8 8 8 7 7 7 7 8 9 9 9 10 10 10 10 9 8 8 7 6 6 7 8 8 9 9 9 9 9 9 10 10 11 11 12 11 11 11 11 11 10 9 9 10 11 11 11 11 11 11 10 9 9 9 9 10 nan
nan 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 10 10 10 8 8 9 9 8 7 6 7 9 10 11 10 10 9 8 9 9 10 10 11 12 13 13 14 14 14 15 15 15 14 14 14 13 13 12 12 13 13 13 13 13 12 13 13 13 13 13 12 12 12 12 12 11 11 11 11 12 13 13 13 12 13 13 13 13 13 11 10 9 9 11 11 9 8 7 7 7 8 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 10 11 12 12 11 10 10 10 11 10 10 10 11 11 11 11 10 11 11 11 11 11 11 11 11 nan
nan 9 9 10 10 10 10 10 10 9 9 9 8 8 8 9 10 10 9 10 10 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 7 7 7 7 8 9 9 9 8 8 8 8 8 6 5 6 8 9 11 11 11 10 9 8 8 9 10 10 11 12 12 13 13 14 14 14 14 14 14 14 13 13 13 13 13 13 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 14 14 14 13 12 11 10 10 12 12 11 10 9 8 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 9 9 9 8 8 8 7 7 7 7 8 9 9 9 9 9 9 9 9 10 11 12 12 11 10 9 9 10 10 10 10 11 11 12 11 10 10 11 11 11 11 11 11 11 nan
nan 9 9 10 10 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 10 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 8 8 7 8 8 8 9 9 9 9 8 8 8 7 7 5 5 7 8 10 11 11 11 10 9 9 8 9 9 10 11 12 12 12 12 13 13 14 14 13 13 13 13 12 12 12 11 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 9 9 10 11 12 14 15 15 15 15 14 14 13 12 12 13 14 13 12 11 10 10 10 9 8 8 9 10 10 10 10 10 10 9 8 8 7 7 8 8 8 9 8 8 8 8 7 7 7 8 9 10 11 11 10 10 10 10 11 12 13 12 11 10 10 9 9 9 9 9 10 11 11 11 10 10 11 11 10 9 10 10 10 nan
nan 9 9 9 9 10 10 9 9 8 8 8 8 8 7 7 7 8 8 9 9 10 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 8 8 8 8 7 7 7 6 5 6 7 9 11 11 12 11 10 9 9 8 9 10 10 11 11 11 11 12 12 12 12 12 12 12 11 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 14 15 16 16 16 16 16 17 16 16 16 15 14 13 12 11 10 10 9 8 8 8 9 11 11 11 10 9 9 8 8 7 7 8 8 9 9 8 8 8 8 8 8 8 9 10 11 12 13 12 12 11 11 12 12 13 13 12 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 8 8 9 9 nan
nan 9 9 9 9 10 10 10 9 9 9 8 8 8 7 7 7 7 8 9 9 9 10 11 11 10 9 8 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 8 7 7 7 7 7 7 6 5 5 6 8 10 11 11 11 11 10 9 9 9 10 10 10 10 10 11 11 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 13 15 16 17 18 19 20 21 21 21 19 16 14 13 11 10 10 10 9 8 8 8 8 9 9 10 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 11 11 12 13 13 14 13 13 13 13 13 13 14 14 13 12 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 nan
nan 9 9 9 9 9 10 10 10 10 9 9 9 8 8 7 6 7 7 8 8 9 10 11 11 10 9 9 9 9 9 9 8 8 8 9 10 10 9 9 9 9 8 8 8 9 9 8 7 7 7 7 7 7 7 6 5 5 7 9 11 11 11 11 10 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 11 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 13 14 16 18 20 22 23 24 24 21 18 15 13 11 10 9 9 9 8 8 8 7 7 8 8 8 8 8 8 9 9 9 10 10 10 9 9 9 10 10 10 10 11 11 11 11 12 13 13 14 14 14 14 14 15 16 16 14 13 12 12 12 11 10 9 9 8 8 8 9 9 10 10 9 8 8 8 nan
nan 8 8 9 9 9 9 10 10 9 9 9 9 9 8 7 7 6 6 7 7 8 9 10 11 10 10 10 10 9 9 9 8 8 9 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 8 8 8 8 8 6 5 5 6 8 10 11 11 11 10 9 9 9 9 10 10 10 10 10 10 9 9 10 10 11 11 11 12 11 11 11 11 11 11 12 13 13 12 12 11 11 10 10 10 10 10 11 11 12 12 13 13 13 13 13 13 14 16 19 21 23 23 22 21 19 17 15 12 10 9 9 8 8 9 8 8 8 8 8 8 7 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 11 11 12 12 12 12 13 16 17 17 15 13 11 11 12 12 11 11 10 9 8 8 9 9 10 10 10 9 8 8 nan
nan 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 6 6 7 8 9 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 10 9 9 9 9 8 8 8 8 7 7 8 9 9 9 8 7 6 5 6 8 10 10 11 11 10 9 9 8 9 9 10 10 11 11 11 10 9 9 9 9 9 10 10 10 10 10 10 11 11 12 13 14 13 12 12 11 11 11 11 11 11 10 10 11 11 12 13 14 14 15 15 15 17 19 22 24 24 22 21 20 19 18 15 12 10 9 9 9 9 10 10 10 10 9 8 8 8 9 10 10 11 11 11 11 11 10 10 10 9 10 10 10 9 9 8 9 9 9 9 9 9 9 12 15 17 17 16 13 11 10 10 11 12 12 11 10 10 10 9 10 10 11 11 10 9 9 nan
nan 7 8 8 8 8 8 9 9 9 9 9 9 10 10 11 11 10 8 7 7 7 7 8 9 9 10 10 10 10 10 9 9 9 9 10 10 11 11 10 10 9 10 9 9 9 9 9 8 8 8 9 9 9 9 8 7 6 7 9 10 11 11 11 10 9 9 9 9 9 9 11 12 13 13 11 10 9 9 9 8 8 8 8 9 9 9 10 10 10 11 12 11 11 11 11 11 11 11 11 11 11 10 10 11 11 13 15 16 17 18 18 19 20 22 24 25 25 24 23 23 22 20 16 13 12 11 12 12 12 12 11 10 9 9 8 8 9 9 10 11 11 11 11 11 11 10 10 9 9 9 9 8 8 7 7 8 8 8 8 8 8 11 12 14 14 14 12 11 10 9 10 12 13 12 11 10 10 10 10 11 11 11 10 9 10 nan
nan 8 8 8 8 8 9 9 9 9 9 9 9 9 10 11 11 11 10 9 8 8 8 8 8 8 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 9 10 10 9 9 9 9 9 9 9 8 7 6 7 9 11 12 12 11 10 9 9 9 8 7 7 10 14 18 17 15 13 11 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 10 9 10 13 15 17 17 17 17 17 19 21 23 24 25 26 26 27 25 22 19 15 14 14 14 15 14 12 11 10 10 9 9 9 9 9 10 10 10 10 11 11 10 10 10 9 9 8 8 7 6 6 6 7 7 7 8 9 9 10 11 12 12 12 12 11 10 11 12 13 13 12 10 10 10 11 12 12 11 10 9 9 nan
nan 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 10 10 10 10 9 9 9 9 8 8 7 6 5 7 9 11 12 12 11 10 9 8 6 4 5 9 15 20 21 19 17 15 12 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 11 10 10 8 6 6 7 10 12 12 12 12 12 14 16 17 19 20 23 26 28 28 28 25 22 19 18 18 17 16 14 13 12 12 12 11 10 10 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 7 6 6 6 7 7 8 8 9 9 9 10 11 12 13 13 12 12 13 13 13 12 10 9 9 11 13 13 11 10 9 9 nan
nan 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 10 10 10 10 10 9 9 8 8 7 6 5 5 7 9 11 12 11 10 8 6 2 1 3 9 14 19 20 21 20 19 15 11 10 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 9 9 10 10 10 9 6 3 2 2 4 7 7 7 8 8 10 12 13 14 16 18 22 25 27 29 29 27 26 25 23 22 20 18 17 15 15 15 14 13 12 11 10 10 11 11 11 11 11 10 10 10 9 9 9 10 9 9 8 8 8 9 10 10 9 9 8 8 9 11 13 13 13 12 13 13 14 13 11 9 9 10 12 12 11 9 8 8 nan
nan 8 8 8 8 8 9 9 9 9 8 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 8 6 5 5 5 7 10 11 11 9 7 3 -1 -1 4 11 15 16 17 18 20 20 18 14 11 8 8 8 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 6 3 1 -0 1 3 4 4 4 4 5 7 10 11 13 15 17 19 22 24 25 26 27 27 27 27 26 24 22 20 18 17 17 16 16 14 13 13 13 13 14 14 13 12 12 12 12 12 12 12 12 12 11 10 10 11 12 12 11 10 9 8 9 11 12 13 12 12 13 13 13 13 12 10 9 9 9 10 9 8 7 7 nan
nan 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 7 6 5 5 6 9 10 10 8 6 0 -3 -0 6 13 16 16 16 16 17 18 18 16 13 9 7 7 8 8 8 9 9 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 7 5 4 2 2 3 3 3 2 1 1 2 5 7 9 11 13 15 16 17 17 18 20 23 25 26 27 27 26 24 22 21 20 18 17 16 15 14 14 15 15 15 15 14 14 14 15 15 15 16 15 14 13 12 10 11 12 12 12 11 10 10 10 11 12 12 12 12 13 13 13 13 12 11 10 9 9 8 8 8 7 6 nan
nan 8 8 8 8 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 9 9 9 9 8 8 8 9 8 7 5 5 6 7 9 9 8 4 -2 -4 1 8 14 17 17 16 15 15 16 17 17 15 11 8 8 7 7 8 8 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 9 9 8 7 6 6 6 6 5 5 4 1 -1 -0 1 4 7 9 11 12 12 12 12 14 16 18 20 23 25 26 26 25 25 24 22 19 17 15 14 13 13 13 13 13 13 13 13 14 15 15 16 15 14 13 11 10 11 12 12 12 11 10 11 11 11 10 11 11 12 12 13 13 12 12 12 11 10 10 9 9 9 8 7 nan
nan 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 8 9 10 10 10 9 9 10 10 11 11 10 10 8 7 7 8 8 9 9 8 7 7 8 8 8 7 7 6 6 7 8 7 2 -3 -3 3 9 14 17 18 18 17 16 16 16 17 15 12 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 10 10 7 3 -0 -2 -1 1 4 7 9 9 9 9 10 11 12 14 16 18 21 23 25 26 27 27 25 22 19 15 13 12 12 12 12 12 11 12 12 12 13 13 13 12 11 11 12 12 12 11 10 10 11 11 10 10 10 10 10 11 12 12 12 11 12 12 12 11 11 11 10 10 9 8 nan
nan 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 7 6 7 8 9 9 9 9 9 9 10 10 11 10 9 8 7 7 7 8 9 10 9 8 7 8 9 9 8 8 7 7 7 7 5 -0 -4 -2 4 10 15 17 18 19 19 18 16 16 16 15 13 11 10 9 9 8 8 8 9 9 9 8 8 8 9 9 10 10 9 9 9 9 9 10 10 10 9 8 6 6 8 12 14 12 10 6 1 -1 -1 -1 1 4 7 7 7 8 8 8 9 10 11 13 16 19 21 24 26 27 27 25 21 17 15 13 13 14 14 14 13 12 12 12 12 11 11 11 11 12 12 12 11 10 10 10 11 11 10 10 10 10 10 11 11 11 11 12 12 12 12 12 11 11 11 10 9 nan
nan 6 7 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 10 8 6 6 7 8 8 8 8 8 9 9 10 10 10 9 8 8 7 7 8 9 9 10 9 9 8 8 9 9 9 8 8 7 7 6 4 -2 -4 -1 4 10 14 17 18 19 20 19 18 16 16 16 14 12 10 10 10 9 9 8 8 9 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 8 6 4 5 10 13 13 12 10 6 3 1 -2 -3 -1 2 3 4 4 5 5 5 5 5 6 9 11 14 17 20 23 26 27 26 24 21 18 16 16 16 16 15 13 12 12 11 11 11 11 10 10 10 9 10 10 10 10 10 11 11 11 11 10 11 12 12 12 11 11 12 12 12 11 11 11 11 10 9 nan
nan 7 7 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 10 10 10 11 11 10 8 8 8 8 8 8 8 8 8 8 9 10 10 9 9 9 9 8 8 8 8 9 9 10 9 9 9 9 9 8 8 7 7 6 5 3 -2 -4 -2 4 10 13 16 18 19 20 20 19 17 17 16 14 12 10 10 11 10 10 9 9 9 10 10 10 9 9 9 10 10 10 11 10 10 10 10 10 9 9 7 6 5 6 8 10 11 10 10 9 7 6 2 -1 -2 -2 -1 0 1 1 2 2 2 1 0 2 4 8 10 13 15 19 23 26 27 26 24 21 18 17 15 14 12 11 11 11 10 11 10 9 8 7 8 9 9 10 10 10 11 11 12 12 12 13 13 13 12 11 11 11 11 11 10 10 11 10 9 9 nan
nan 7 8 8 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 8 8 9 9 10 10 9 9 9 10 10 9 9 9 9 9 9 9 10 10 9 9 8 8 7 6 6 5 2 -2 -4 -2 3 9 12 14 16 18 20 21 20 18 17 15 13 10 9 9 10 10 10 9 9 10 10 10 10 10 10 9 9 10 10 11 11 10 10 10 10 9 9 8 7 7 8 9 10 10 9 9 9 9 9 7 5 3 1 -0 -0 1 1 1 1 2 1 -1 -2 -1 1 4 6 8 10 14 18 22 24 25 23 19 16 13 12 10 10 10 10 11 11 11 10 8 7 7 8 9 10 10 10 11 11 11 12 13 13 12 11 10 10 11 11 10 10 10 10 10 9 9 9 nan
nan 8 8 8 9 9 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 10 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 10 11 11 10 10 9 8 8 9 9 10 10 10 9 9 8 6 6 5 4 2 -2 -4 -1 3 8 11 13 15 17 20 21 20 19 17 14 11 9 8 8 9 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 10 10 9 9 9 8 9 9 10 11 11 11 11 10 9 8 8 8 8 7 7 5 4 4 4 4 5 5 5 3 1 -1 -1 0 1 2 3 5 8 12 15 17 17 16 14 12 10 10 10 10 10 11 12 12 11 9 8 8 8 9 10 10 10 10 11 11 11 11 11 10 8 8 9 10 10 10 10 10 9 9 9 10 10 nan
nan 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 10 12 12 11 10 9 8 8 8 8 9 10 10 10 9 8 7 6 6 4 1 -3 -3 0 4 8 11 12 14 16 18 20 20 19 17 14 11 9 8 8 9 10 9 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 12 13 13 10 8 6 6 7 8 8 8 8 7 7 7 8 8 8 7 6 4 3 2 2 3 3 2 3 4 7 9 11 11 11 11 10 10 9 9 10 10 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 9 9 8 7 6 7 8 8 9 9 9 9 10 11 12 12 nan
nan 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 10 9 9 8 8 8 9 11 13 13 12 10 9 8 7 6 7 8 10 10 11 10 8 7 7 6 5 0 -3 -3 0 4 8 10 11 13 15 17 19 20 20 19 15 12 10 8 7 8 9 9 9 9 8 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 10 9 9 10 12 16 17 15 12 8 6 6 7 8 8 9 8 8 8 8 9 9 9 9 8 7 7 6 7 7 7 6 6 7 8 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 9 8 7 7 7 7 7 8 8 9 11 13 13 14 nan
nan 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 10 10 10 10 10 11 11 11 10 9 9 9 9 9 10 12 13 13 12 10 9 8 6 5 6 7 9 10 11 11 10 9 8 7 4 -1 -3 -3 0 5 8 9 11 12 14 16 18 20 21 20 17 14 11 8 7 7 8 9 10 10 9 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 9 8 8 11 16 19 20 17 13 10 8 7 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 11 12 13 12 12 11 11 10 10 10 10 9 9 8 9 10 10 11 11 12 12 11 11 11 12 12 11 11 11 11 11 12 12 12 11 10 10 9 8 9 9 10 11 12 13 13 13 nan
nan 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 10 10 11 11 11 11 10 10 9 9 9 9 10 11 13 13 13 12 11 9 8 7 6 6 7 8 9 10 11 11 10 9 8 3 -2 -5 -4 -0 5 7 9 10 11 13 15 18 20 22 21 17 13 10 9 8 9 9 9 10 11 10 9 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 9 8 7 9 14 18 21 20 17 13 10 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 11 13 15 17 17 16 15 14 13 13 13 13 12 11 10 11 12 13 13 14 14 15 14 14 14 14 14 14 13 12 12 13 13 14 14 14 13 13 12 12 12 12 12 12 13 12 12 12 nan
nan 9 9 9 9 9 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 11 11 11 11 10 9 9 9 10 10 10 11 12 12 12 12 10 9 8 8 7 7 7 7 8 9 10 10 10 9 8 4 -2 -5 -5 -1 4 7 8 9 10 12 14 18 21 23 21 17 12 9 8 7 7 8 8 9 10 10 9 9 8 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 9 7 7 8 12 15 18 19 18 15 12 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 11 12 15 17 17 17 17 17 17 17 17 16 15 14 14 14 14 13 14 14 15 15 15 16 17 17 17 16 15 14 13 14 15 15 15 15 14 14 14 15 14 13 13 12 12 11 11 nan
nan 9 9 9 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 7 7 8 8 9 9 9 9 10 10 11 11 10 10 9 9 9 9 10 9 10 10 11 11 10 10 9 9 9 8 8 7 7 8 9 9 9 9 8 8 6 2 -3 -5 -2 2 5 7 8 9 10 13 17 21 23 22 17 12 9 7 7 6 6 6 7 8 9 9 9 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 8 10 12 14 16 16 15 13 11 10 10 9 9 9 9 9 9 8 8 8 8 8 8 7 6 5 5 6 9 12 14 15 15 15 16 16 16 16 15 14 13 12 11 10 11 11 12 12 13 15 17 19 19 18 17 16 16 15 15 15 14 14 14 14 15 15 14 13 12 12 12 11 nan
nan 9 10 10 10 10 10 11 11 11 12 12 11 11 10 9 9 9 9 9 9 8 8 7 7 7 8 9 9 9 9 9 10 10 10 10 10 10 9 8 8 9 9 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 9 9 9 8 8 8 8 5 -0 -3 -3 0 4 6 7 8 9 12 15 20 23 22 18 14 11 10 9 8 6 6 6 7 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 10 10 10 10 10 10 9 7 7 8 10 11 12 13 13 13 12 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 6 4 1 -0 0 2 4 7 9 9 9 10 10 12 12 11 11 10 9 8 8 8 8 8 9 10 11 14 17 18 20 21 20 19 16 15 13 12 11 11 12 14 14 14 13 12 12 11 11 nan
nan 10 10 10 10 10 10 11 11 12 12 12 12 11 11 10 9 9 9 9 9 8 8 8 7 8 8 9 9 9 9 10 10 10 11 11 10 10 8 7 7 8 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 9 9 9 8 8 8 8 8 6 2 -2 -3 -1 2 4 6 7 8 10 13 19 23 22 18 15 14 13 11 9 8 8 7 7 8 8 8 7 7 7 7 7 7 7 7 8 9 11 12 11 11 10 9 8 8 7 6 7 9 11 11 11 11 11 10 9 8 9 9 9 9 9 9 8 8 9 9 9 9 9 9 8 6 4 1 -0 -1 -0 1 3 4 5 6 6 6 7 8 8 8 8 8 7 7 7 6 6 7 9 11 13 16 19 22 22 21 17 14 11 10 9 9 11 12 13 13 13 12 12 11 11 nan
nan 10 9 9 9 10 10 11 12 12 12 12 12 11 11 10 10 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 11 11 10 10 9 8 8 8 9 9 10 10 11 11 11 11 10 10 10 10 9 9 9 9 9 9 8 8 7 8 8 7 4 0 -2 -2 -0 3 5 6 7 8 11 17 22 21 18 15 14 13 12 11 10 10 9 9 8 8 7 7 6 6 6 6 6 5 5 5 6 8 10 11 12 11 9 8 7 6 6 7 9 11 11 11 11 11 10 8 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 8 7 5 3 0 -1 -2 -0 1 3 3 4 4 4 5 6 7 7 7 7 7 6 5 5 5 6 9 11 14 17 20 21 20 18 14 11 10 9 9 10 11 12 12 12 11 11 11 10 nan
nan 10 9 9 10 10 11 11 12 12 12 12 12 12 11 10 10 10 9 9 9 9 9 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 12 12 11 10 10 10 10 10 9 8 9 9 9 9 8 8 7 7 7 6 3 -0 -2 -1 1 3 5 6 7 9 15 20 21 20 15 12 11 11 11 11 11 10 10 9 9 8 7 7 6 6 5 5 4 3 3 3 4 6 10 13 14 13 11 10 8 7 8 10 12 12 12 12 13 12 11 9 9 9 9 9 9 9 10 10 10 9 9 9 9 8 8 8 7 7 5 3 -0 -1 -1 -0 1 3 3 3 3 4 4 5 5 5 5 6 6 5 4 3 4 7 9 11 15 17 18 18 16 14 12 11 10 11 11 11 12 11 11 11 11 11 10 nan
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nan 11 11 12 12 14 16 17 17 16 14 13 12 11 10 9 8 9 10 12 13 13 12 12 12 12 12 12 11 11 11 12 12 12 11 12 12 12 13 14 14 14 14 13 12 11 9 9 9 10 11 11 11 10 10 9 10 11 12 14 15 16 16 13 12 10 10 10 10 10 9 8 8 8 9 9 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 14 14 14 13 13 14 14 15 15 15 15 14 13 13 12 12 12 12 12 12 12 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 11 12 12 12 12 12 12 13 13 12 12 12 11 11 12 12 11 11 10 10 10 11 12 12 13 13 13 12 12 12 12 12 11 11 10 10 10 10 11 11 12 12 12 12 11 11 12 12 12 11 10 nan
nan 10 11 12 14 17 20 21 21 19 16 14 12 11 9 9 9 9 11 12 13 13 13 13 13 14 14 14 13 13 13 12 12 12 11 11 12 12 13 13 13 13 13 13 12 11 10 10 9 10 10 11 11 11 11 10 10 11 12 13 15 17 17 16 15 14 13 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 13 13 13 13 13 13 14 14 14 15 15 15 15 14 14 15 15 16 16 16 16 15 15 14 14 14 14 14 14 14 13 13 12 12 12 11 11 11 11 12 12 12 12 11 11 11 11 12 12 13 13 12 12 13 13 13 12 12 12 12 12 12 12 11 11 10 10 11 12 12 12 13 13 13 12 12 12 12 11 11 11 11 10 10 10 10 10 11 11 11 11 12 12 12 13 13 12 11 nan
nan 7 8 10 13 17 20 21 21 21 19 16 14 11 10 9 9 10 12 12 13 13 13 13 14 14 13 13 13 13 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 11 11 10 9 9 9 10 11 11 11 11 10 11 12 13 15 16 16 16 15 14 13 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 12 13 13 14 14 14 14 14 15 15 15 15 16 16 16 16 16 16 16 16 17 17 17 17 17 17 17 16 16 15 15 15 15 14 14 14 13 13 12 12 12 13 13 13 13 13 13 12 12 13 13 13 13 12 12 13 13 13 12 11 11 12 11 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 12 12 11 11 nan
nan 6 6 7 10 14 16 16 17 17 16 16 14 12 10 10 9 10 12 12 12 12 13 13 13 12 12 11 10 10 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 9 8 8 9 10 11 11 11 11 12 12 13 14 14 14 14 13 11 11 11 11 12 12 13 13 14 15 16 16 15 15 15 14 14 13 13 13 13 13 13 14 14 14 14 14 14 14 15 15 15 15 16 16 17 17 17 17 17 17 18 19 19 19 19 18 17 17 16 16 16 16 16 16 15 15 14 14 15 15 15 15 15 15 14 14 15 15 15 14 13 13 12 13 13 13 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 7 6 6 7 10 12 11 11 10 11 12 12 11 11 11 10 10 11 12 12 13 13 13 12 12 11 11 10 10 10 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 9 10 10 11 11 12 13 14 14 14 14 13 12 10 10 11 11 11 11 12 12 13 14 14 15 15 15 15 15 14 14 14 13 13 13 13 13 13 13 12 12 12 12 12 13 13 13 13 14 14 15 16 16 16 17 17 18 19 19 19 19 18 19 19 19 19 19 19 18 18 17 17 17 17 17 18 18 17 17 17 17 17 17 16 15 14 14 14 14 13 13 12 12 13 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 13 13 12 12 12 11 11 10 10 10 10 10 11 11 10 9 9 9 9 8 9 nan
nan 11 8 7 7 9 11 12 12 11 10 10 10 10 10 11 11 11 11 12 12 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 10 10 10 9 9 8 8 9 10 10 11 12 14 14 15 16 16 15 13 12 11 10 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 12 12 12 11 11 10 10 11 11 11 11 11 11 11 11 11 11 12 13 14 14 14 15 16 16 17 18 18 18 19 19 20 21 21 21 20 19 19 19 20 19 20 20 20 20 20 20 19 19 19 18 17 16 16 15 15 14 14 13 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 10 11 10 11 11 11 10 9 9 9 9 9 9 nan
nan 12 10 9 9 11 13 15 15 15 14 12 11 10 10 10 11 11 12 12 12 12 13 13 13 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 9 9 9 8 9 9 9 10 11 14 16 19 21 22 20 17 14 12 11 10 11 11 10 10 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 12 12 13 13 14 15 15 16 16 17 18 19 20 20 20 20 20 20 20 20 20 20 20 21 21 20 20 19 19 18 18 17 17 17 16 15 14 14 14 15 15 15 15 15 14 14 14 14 13 13 13 13 13 13 12 12 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 nan
nan 11 11 10 10 11 12 12 13 13 13 12 11 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 11 11 12 12 12 12 12 12 12 11 10 10 10 9 9 9 9 9 8 7 7 8 11 14 20 25 26 25 22 17 13 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 10 9 10 10 10 10 10 11 11 12 12 13 14 14 14 15 16 17 18 18 18 18 18 18 19 19 19 18 18 18 18 18 17 17 16 16 16 16 16 15 14 14 15 15 16 16 16 15 15 15 15 15 14 14 14 13 13 13 13 12 12 11 11 11 12 12 12 12 12 12 11 11 12 11 11 10 10 10 10 10 11 11 11 10 nan
nan 12 11 10 8 6 5 5 6 8 9 10 10 10 10 10 11 11 11 12 11 11 11 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 12 12 12 12 11 11 11 10 10 10 9 9 8 8 6 4 2 3 6 10 16 22 25 26 24 19 14 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 11 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 12 12 11 11 12 13 13 14 14 15 15 15 16 16 15 15 14 14 14 14 14 14 13 13 13 13 14 14 14 14 14 15 16 16 16 15 16 16 16 16 15 15 14 14 13 13 13 12 12 12 12 11 12 12 12 11 11 11 11 12 12 11 11 10 10 10 10 11 11 11 11 10 nan
nan 12 11 9 7 4 2 3 5 7 9 10 10 10 10 11 11 11 12 12 12 11 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 5 2 -1 -1 1 6 12 16 20 22 22 18 15 12 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 12 12 11 11 11 10 10 10 10 10 10 10 10 9 9 9 10 10 11 10 10 9 9 9 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 11 11 12 12 13 13 14 15 15 14 15 15 15 16 16 16 16 15 14 14 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 10 nan
nan 12 11 10 8 7 7 7 8 8 9 10 10 10 10 11 11 11 12 12 12 12 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 6 4 0 -2 -1 2 7 11 15 18 18 16 13 11 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 8 8 8 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 8 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 13 13 13 13 14 14 15 15 16 17 17 16 15 15 14 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 nan
nan 12 12 11 11 10 10 9 9 9 10 10 10 10 11 11 11 11 11 12 12 12 12 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 8 6 3 -0 -1 1 4 7 11 13 14 13 12 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 10 10 9 9 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 13 13 13 14 14 15 16 17 16 16 15 14 14 14 14 14 14 13 13 13 13 13 12 12 12 12 12 11 11 12 11 11 11 10 10 10 10 10 nan
nan 12 12 11 11 10 10 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 9 6 3 1 1 3 5 8 10 11 11 11 10 9 9 9 9 10 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 13 14 14 15 16 16 16 16 15 15 15 15 14 14 14 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 10 10 11 11 11 nan
nan 11 11 11 11 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 8 6 5 5 5 6 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 13 14 14 14 14 15 16 16 17 16 16 15 15 14 14 13 13 13 13 13 12 12 11 11 11 10 10 11 11 11 11 11 11 12 nan
nan 11 11 11 10 10 10 9 9 10 10 10 11 11 11 11 11 11 11 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 13 13 13 14 15 16 17 17 17 16 16 16 15 14 14 13 13 13 12 12 11 11 11 10 10 10 10 11 11 11 12 12 12 nan
nan 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 10 11 11 11 12 11 12 12 12 13 13 14 15 16 16 17 17 17 17 17 16 15 14 13 13 12 12 12 12 12 11 11 10 10 10 11 11 12 12 12 12 nan
nan 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 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 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 8 8 9 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 9 8 9 10 11 12 12 12 12 12 12 12 12 13 14 14 15 15 16 16 16 17 17 16 15 14 14 13 13 13 12 12 12 11 11 11 11 11 11 11 12 12 12 12 nan
nan 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 9 9 9 10 11 10 10 9 8 8 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 10 10 10 9 8 8 8 10 11 12 12 12 12 12 12 12 12 13 13 14 14 14 14 15 15 16 16 16 16 15 15 15 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 nan
nan 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 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 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 10 10 10 10 9 8 8 8 10 11 12 12 11 11 12 12 12 13 13 13 13 13 13 14 14 15 16 16 16 16 16 16 16 15 14 13 13 13 13 13 13 13 13 13 12 12 12 12 11 nan
nan 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 7 8 8 9 9 9 9 10 10 10 10 9 9 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 10 10 11 10 9 9 8 9 10 11 11 11 12 12 12 12 13 13 13 13 13 13 13 13 14 15 15 16 17 17 17 16 15 15 14 14 14 14 14 14 13 13 13 12 12 12 12 11 nan
nan 11 11 11 11 11 11 10 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 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 10 10 10 10 10 9 9 9 9 8 9 8 8 8 8 8 8 8 9 9 8 8 8 9 10 11 11 10 9 9 9 9 10 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 14 14 16 16 17 17 17 16 16 15 15 15 14 14 13 13 12 11 11 10 10 11 11 nan
nan 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 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 10 10 10 10 10 11 11 11 11 10 9 8 7 8 8 9 10 10 10 10 10 10 10 9 9 9 9 9 8 9 9 9 9 9 9 7 6 6 7 9 10 10 10 10 9 9 9 10 11 12 13 12 12 12 12 12 12 12 12 12 12 12 13 13 14 15 16 16 17 17 17 16 16 15 15 14 14 13 13 12 11 11 10 10 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 10 11 11 11 10 10 11 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 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 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 10 11 11 11 11 12 12 11 11 9 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 8 6 5 4 4 6 8 9 10 11 11 11 10 9 9 10 12 12 12 12 12 12 11 12 12 12 12 12 12 12 13 14 14 15 15 16 16 16 16 16 15 14 14 14 14 14 14 14 14 13 13 13 12 nan
nan 11 11 11 11 11 11 11 11 11 10 10 11 11 11 10 10 9 9 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 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 10 10 11 11 11 11 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 10 10 9 8 5 3 3 3 5 7 9 10 11 11 11 10 10 10 11 12 12 13 12 11 11 11 11 11 10 10 10 11 12 13 14 14 14 14 14 15 16 16 16 16 15 14 14 14 14 15 16 16 16 15 15 14 nan
nan 11 11 11 11 11 11 11 11 11 10 10 11 11 11 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 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 10 10 10 11 11 11 11 11 11 12 13 13 13 13 13 13 13 12 10 9 9 9 9 9 9 8 8 7 7 7 8 9 9 8 7 6 4 3 4 5 7 9 10 10 9 9 9 10 11 12 12 12 12 11 11 11 11 11 10 8 8 9 11 13 14 14 14 13 13 13 14 16 16 16 16 15 14 13 13 14 14 15 15 15 15 15 15 nan
nan 11 11 11 11 11 11 11 11 11 10 10 10 10 11 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 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 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 12 12 13 13 14 14 14 14 13 12 10 9 9 9 9 8 8 7 7 6 6 6 7 7 7 7 5 4 3 3 4 5 7 8 7 6 7 9 11 13 13 13 12 11 11 11 11 11 10 8 7 7 10 13 15 16 14 12 11 12 13 15 16 16 16 15 14 13 13 13 14 14 14 14 14 14 13 13 nan
nan 10 11 10 10 11 11 11 11 10 10 10 10 11 11 11 10 10 10 10 10 10 10 9 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 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 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 11 11 11 10 10 11 12 12 12 12 11 11 10 10 10 11 11 12 12 12 12 12 13 13 14 14 13 12 11 10 10 10 10 9 8 8 7 7 8 8 8 6 5 3 1 0 1 3 5 6 6 7 9 11 13 14 13 12 12 11 11 11 11 10 8 7 7 10 13 15 16 15 13 11 11 13 15 17 17 16 15 14 14 14 14 15 15 15 14 14 13 12 12 12 nan
nan 11 10 10 10 10 11 11 11 10 10 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 8 8 8 9 9 9 9 10 10 10 10 10 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 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 12 12 11 11 11 11 10 10 10 10 11 12 13 12 12 11 10 10 10 10 10 11 11 11 11 11 11 11 12 13 13 14 13 13 12 12 12 12 11 11 10 9 9 9 9 8 6 4 2 0 -0 0 2 4 5 6 8 10 11 12 12 12 12 12 12 12 11 10 9 8 8 10 12 14 14 13 12 11 11 13 14 16 17 16 15 13 13 12 13 15 16 17 16 16 15 14 13 13 12 nan
nan 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 12 12 11 11 11 10 10 10 10 11 11 12 13 12 12 11 10 10 10 10 10 10 10 10 11 11 11 10 11 11 12 13 13 13 13 13 13 12 12 12 11 11 10 9 9 8 5 4 2 -0 -0 0 2 4 6 7 9 10 10 10 11 12 12 13 13 12 11 9 9 9 10 11 12 12 11 10 10 11 12 13 14 15 14 14 12 11 11 11 13 15 17 17 17 17 16 16 15 15 15 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 8 9 9 9 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 10 11 11 11 11 12 12 12 12 11 11 10 11 12 12 11 10 9 9 10 11 11 11 11 11 12 13 14 14 14 14 13 13 12 11 10 10 10 9 9 7 5 3 1 -0 -1 -0 1 3 6 8 9 9 9 10 12 13 14 14 13 12 10 10 9 10 11 11 10 9 9 9 10 10 11 12 12 12 12 11 11 10 10 10 12 15 17 18 19 18 17 17 17 17 17 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 1 3 5 7 16 20 23 27 30 30 26 26 22 16 14 13 11 9 7 4 0 0 0 0 0 0 0 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 3 5 5 5 4 3 2 1 1 1 0 0 1 3 10 33 47 51 47 37 28 25 20 15 13 12 13 13 15 17 18 15 15 16 19 23 32 52 115 195 260 290 298 349 429 466 493 501 481 449 507 557 624 704 765 718 664 646 663 695 721 715 730 758 776 767 790 805 872 923 898 869 848 832 809 774 731 709 704 699 685 659 633 621 608 607 622 645 637 630 608 579 555 554 625 717 804 866 891 862 867 919 972 1017 1055 1057 1031 1045 1100 1188 1306 1474 1654 1751 1751 1688 1602 1539 1482 1430 1380 1327 1243 1179 1093 976 843 702 577 427 285 198 140
0 0 1 3 5 7 13 17 20 23 24 24 18 18 16 13 12 11 9 6 4 2 0 0 0 0 0 0 0 0 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 3 3 3 2 1 1 1 0 0 0 0 2 4 22 43 61 65 53 44 37 30 23 18 16 17 15 16 18 19 21 19 17 16 21 34 58 101 187 291 365 364 369 374 393 434 460 492 507 514 535 576 653 808 852 836 798 773 789 819 802 805 827 845 838 797 727 752 833 828 826 822 811 793 770 739 724 722 720 707 678 650 639 636 642 656 677 674 666 656 639 608 581 628 709 807 903 975 950 967 1019 1089 1149 1156 1107 1093 1103 1138 1221 1307 1433 1562 1655 1691 1654 1579 1507 1437 1363 1282 1211 1172 1142 1096 1024 929 820 697 550 393 249 182
0 1 2 3 2 2 8 13 17 19 20 19 18 15 11 10 11 12 9 6 3 1 0 0 0 1 2 2 0 0 0 0 0 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 1 1 1 0 0 0 0 0 1 2 11 29 56 79 76 66 55 45 38 32 28 28 33 37 39 37 29 26 24 26 37 64 104 134 225 333 394 393 362 364 480 583 505 531 550 559 549 559 698 859 970 1016 1004 962 961 985 967 947 953 990 964 889 778 694 665 685 756 801 809 795 776 753 749 752 746 723 684 648 629 630 647 667 679 686 693 697 689 657 633 642 686 760 856 934 943 971 1034 1131 1231 1192 1163 1143 1140 1177 1258 1337 1438 1542 1619 1646 1609 1543 1469 1392 1312 1257 1200 1142 1093 1049 1012 986 913 789 634 466 295 226
0 0 1 1 2 4 10 17 22 24 23 20 14 11 11 12 13 14 12 6 2 0 0 0 0 0 1 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 1 1 1 1 0 0 0 0 0 1 1 4 11 35 70 90 87 74 61 51 45 41 42 47 53 56 48 31 34 41 54 77 124 203 239 294 366 424 453 425 392 528 766 712 627 623 621 596 596 766 881 976 1049 1090 1080 1101 1120 1077 1008 977 1041 1007 927 812 695 631 699 748 790 813 802 771 749 754 765 761 726 671 622 598 602 621 642 660 684 703 707 686 664 652 654 669 700 772 837 888 941 1011 1114 1215 1237 1230 1210 1194 1229 1275 1344 1432 1523 1593 1609 1583 1530 1463 1388 1305 1233 1171 1125 1092 1047 1021 1002 947 848 713 593 430 309
0 0 0 0 1 6 12 17 22 25 23 18 14 12 11 11 13 14 11 6 2 0 0 0 0 0 1 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 1 1 2 13 39 75 100 107 95 72 56 46 43 44 51 59 36 48 67 91 119 156 203 260 308 353 396 439 481 483 467 532 699 642 576 623 653 608 602 693 790 926 1078 1185 1129 1133 1112 1062 1002 961 996 987 936 848 735 633 731 772 786 798 798 752 733 733 735 726 697 640 585 562 569 582 603 627 654 675 679 662 645 653 670 676 678 711 758 815 880 954 1056 1155 1218 1248 1253 1241 1241 1258 1304 1379 1466 1538 1563 1556 1527 1484 1418 1338 1253 1182 1147 1141 1107 1078 1054 1027 980 830 713 559 405
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