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 11 11 12 13 13 13 13 13 13 13 13 15 17 20 21 21 21 20 19 17 15 14 14 15 15 15 14 13 12 11 10 9 8 8 7 6 6 7 8 8 6 4 4 5 6 7 7 6 6 6 6 6 6 7 7 6 6 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 7 7 7 7 8 9 10 11 11 12 12 11 12 12 12 12 11 10 9 8 7 7 8 9 10 10 9 9 8 7 7 7 8 9 10 9 9 9 9 10 10 11 11 11 12 11 10 10 9 9 8 8 8 7 7 8 8 9 8 8 8 9 8 7 7 7 8 7 7 7 7 6 6 7 7 8 8 9 9 9 10 10 10 10 10 9 8 7 7 8 9 9 9 9 9 9 8 8 7 7 7 7 7 7 6 6 7 8 8 8 8 nan
nan 11 10 11 11 11 12 12 12 12 12 12 12 13 15 16 18 19 20 19 18 18 17 17 17 16 16 16 15 14 13 12 10 9 8 7 7 6 7 8 8 7 6 5 5 5 6 6 7 7 6 6 6 7 8 8 7 7 7 7 7 6 6 7 7 8 8 8 7 7 7 6 6 7 7 7 6 6 6 6 7 9 10 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 11 11 10 10 10 9 8 8 9 9 10 10 9 9 9 10 10 11 11 11 11 11 10 9 9 9 9 9 8 6 6 7 8 8 8 8 9 9 8 8 8 8 9 9 8 7 7 7 7 7 7 8 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 8 8 9 9 8 7 7 7 7 7 7 7 6 6 7 8 8 9 8 nan
nan 9 9 9 9 9 9 10 10 11 11 11 11 11 11 12 14 16 17 18 18 19 20 21 20 19 18 18 17 17 16 15 13 11 9 8 7 7 8 9 9 7 5 5 5 5 5 6 7 7 7 6 7 8 9 8 8 7 8 8 7 7 6 7 7 8 8 8 7 7 7 7 7 8 8 7 6 6 6 6 6 7 8 10 10 11 11 10 10 10 11 11 11 11 11 10 10 10 10 11 11 12 11 11 10 9 9 9 9 9 10 10 9 9 9 10 11 11 11 11 11 11 10 10 10 10 10 8 7 7 8 9 8 8 8 9 9 9 8 9 9 9 9 8 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 8 8 8 7 7 7 8 8 7 6 6 7 8 8 9 8 nan
nan 8 8 7 7 7 7 8 9 9 9 9 9 9 9 10 11 12 14 15 16 18 19 20 21 21 21 21 20 20 19 18 15 13 11 10 9 9 9 10 9 6 4 5 6 6 4 5 7 8 8 8 8 9 9 8 9 9 10 9 8 7 7 6 6 7 7 8 8 8 9 9 9 9 9 8 7 7 7 7 6 7 7 9 9 10 10 10 10 10 10 10 11 11 11 10 9 9 10 10 11 11 11 11 10 9 9 8 8 8 9 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 8 8 7 6 6 6 7 7 7 7 7 7 8 8 9 8 8 8 8 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 nan
nan 8 7 7 6 6 6 6 7 7 8 8 8 8 8 8 8 9 10 11 12 14 15 16 18 20 21 22 22 23 22 20 17 15 14 13 11 10 10 11 9 5 3 6 7 6 4 4 7 8 8 8 9 9 9 9 11 12 11 10 9 8 7 6 6 7 7 8 9 10 10 10 9 9 9 9 8 8 8 7 7 7 7 8 8 9 9 10 10 10 10 10 10 11 10 10 9 9 9 9 10 10 10 11 11 10 9 8 8 8 10 11 11 10 9 8 8 7 8 8 9 10 11 11 11 11 11 12 12 12 12 12 11 10 8 8 9 9 9 9 9 9 10 10 11 11 10 9 9 8 8 8 7 7 7 7 7 6 5 6 6 7 8 9 8 8 8 9 9 10 10 9 9 8 8 8 8 7 7 7 8 7 8 8 8 8 nan
nan 8 7 7 6 6 5 5 5 6 6 6 6 6 6 6 6 7 7 7 8 9 9 11 13 15 17 19 21 23 23 22 20 19 18 16 14 12 11 11 10 6 5 6 6 6 4 5 7 9 9 9 10 10 11 11 12 13 12 11 10 9 8 7 7 8 9 10 11 11 11 9 8 8 9 9 8 7 7 7 7 7 8 8 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 10 9 9 9 9 10 11 12 11 10 8 7 7 6 7 8 8 9 10 10 11 11 12 13 13 13 13 11 10 9 8 8 8 8 8 9 9 10 11 12 12 12 10 9 9 9 9 9 9 9 9 8 6 6 6 7 8 9 9 9 9 9 9 9 10 10 10 9 9 8 8 7 7 8 8 8 8 8 9 9 9 nan
nan 7 7 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 8 10 12 14 17 19 21 22 23 23 22 20 18 15 13 12 10 8 6 6 5 5 5 6 9 10 9 9 10 11 12 12 12 12 11 10 8 8 8 8 9 9 10 10 10 9 8 7 7 7 7 7 7 6 6 6 6 7 7 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 12 11 10 9 8 7 6 6 7 7 8 8 9 9 10 11 13 13 14 13 12 10 9 8 8 8 8 8 8 9 10 11 13 14 14 13 11 10 10 10 11 11 11 10 9 8 8 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 8 7 8 8 8 8 8 8 9 9 9 nan
nan 7 7 7 7 7 6 6 5 5 4 4 4 4 4 4 4 3 3 3 3 4 4 4 5 6 7 9 12 14 16 18 21 24 25 25 23 20 17 14 11 9 7 5 4 5 6 8 9 9 9 9 9 9 9 9 8 9 9 8 7 6 6 7 8 8 8 7 6 5 5 5 5 6 6 7 7 6 6 6 6 6 7 7 8 8 9 9 9 9 9 8 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 10 9 8 7 7 6 6 7 8 8 8 8 9 10 12 13 13 13 12 11 10 9 9 8 7 6 7 8 9 10 12 15 16 15 14 14 13 13 13 13 12 11 10 10 10 10 9 9 9 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 nan
nan 7 7 7 7 7 7 7 6 5 5 5 5 5 5 4 4 3 3 2 2 3 3 3 4 4 5 7 9 10 12 13 17 21 25 27 26 24 20 17 13 10 8 6 5 6 9 9 9 8 7 7 6 6 6 6 6 7 7 6 5 4 3 4 4 5 5 4 3 3 3 4 5 6 6 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 9 9 9 10 10 9 8 7 7 6 6 7 9 9 9 8 9 10 11 12 12 12 12 12 12 11 10 8 6 5 6 7 7 8 10 13 15 16 15 16 15 15 14 13 12 12 11 10 9 9 8 8 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 9 9 8 8 8 8 9 nan
nan 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 5 4 3 3 2 3 3 3 3 4 4 5 6 8 9 11 13 16 22 25 26 26 24 21 17 13 10 7 7 8 10 10 9 8 6 5 5 6 7 7 7 6 6 5 3 2 1 2 3 3 4 4 4 4 4 5 5 6 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 9 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 9 9 8 8 7 7 7 7 9 10 10 10 10 10 11 11 11 10 10 12 13 13 11 8 6 5 6 6 6 7 8 10 12 13 14 16 17 16 15 13 12 12 11 10 8 7 8 8 9 10 10 10 10 9 8 8 7 7 7 8 8 9 9 9 9 9 9 9 8 8 8 9 nan
nan 7 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 5 5 4 3 3 3 3 4 4 4 4 5 6 7 8 9 11 16 22 25 27 27 25 22 17 13 9 9 10 11 11 10 7 6 5 6 8 10 11 9 7 5 4 2 1 1 2 3 4 4 4 5 5 5 6 7 8 8 8 7 7 7 7 7 7 7 6 7 8 9 10 10 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 8 9 9 9 8 7 7 7 8 9 10 11 11 11 12 12 11 10 9 11 13 14 12 9 7 6 6 6 7 7 7 8 9 10 11 13 16 16 14 13 13 12 11 10 9 8 8 9 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 10 10 9 9 9 9 9 9 9 nan
nan 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 5 5 5 4 4 4 4 4 5 5 5 6 6 5 5 7 12 17 22 26 28 28 26 22 17 12 12 13 13 12 10 6 5 5 7 9 11 11 10 8 5 3 1 2 3 4 5 5 5 5 5 6 8 9 10 10 9 8 8 7 7 7 7 7 6 5 5 6 8 9 10 10 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 10 11 11 10 9 9 9 9 10 9 8 8 8 8 8 9 11 12 12 12 12 12 10 9 10 11 12 11 9 8 7 7 7 7 7 7 7 7 7 8 9 12 13 13 13 13 13 12 11 10 10 10 10 11 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 nan
nan 7 8 9 9 9 9 8 8 7 7 7 6 6 6 6 6 6 6 5 5 6 6 5 4 4 5 6 6 5 4 4 5 7 9 13 16 20 24 26 28 26 21 17 16 16 16 14 9 5 4 5 7 8 10 11 11 8 5 3 2 4 6 7 7 6 6 6 7 10 12 13 12 10 8 8 8 8 8 8 8 8 7 5 5 5 6 7 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 10 9 9 10 10 10 10 9 8 7 8 10 11 12 12 12 12 11 11 11 11 11 11 10 9 8 8 8 7 7 7 6 6 5 5 6 8 10 11 12 13 13 13 12 12 13 13 13 13 11 10 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 8 8 8 9 9 nan
nan 7 8 8 9 9 9 8 8 7 7 6 6 6 6 6 7 7 6 6 6 7 7 7 6 5 5 6 6 5 4 5 6 6 7 9 11 13 16 20 26 28 26 23 21 20 17 14 9 5 4 5 7 8 10 12 12 9 6 4 4 7 9 9 8 8 8 9 11 14 15 13 10 8 7 7 8 8 9 10 10 10 9 7 5 4 4 5 8 9 10 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 11 9 8 8 9 10 11 10 9 7 8 9 11 11 11 11 12 12 12 12 12 12 12 12 10 8 7 7 7 8 7 7 6 5 5 5 6 7 8 9 10 11 12 12 13 14 15 16 14 12 11 10 9 9 9 8 8 8 8 8 9 9 10 10 10 10 9 8 7 7 7 7 nan
nan 7 7 8 8 8 8 8 8 7 7 7 6 6 6 6 7 7 7 7 7 8 8 8 8 7 6 6 5 5 5 5 6 6 7 8 9 8 10 15 21 25 26 25 23 21 18 15 10 6 4 5 7 9 11 13 13 10 7 5 5 7 8 8 8 9 10 11 12 12 10 8 7 7 8 9 9 9 10 11 12 12 11 9 7 5 4 5 7 9 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 10 10 11 11 11 10 9 8 7 8 9 11 11 10 9 9 9 10 11 12 12 12 13 13 12 12 12 12 12 10 9 8 8 8 9 9 8 7 6 6 6 6 6 6 6 6 7 8 9 11 12 13 14 13 12 12 11 10 9 9 9 8 7 6 6 6 8 9 10 11 12 11 9 8 8 7 7 nan
nan 8 7 7 7 7 8 8 8 7 7 7 7 6 6 6 7 7 8 8 9 9 8 8 8 8 7 6 5 5 5 6 7 8 9 10 9 9 11 13 17 19 20 21 21 21 19 16 12 8 6 7 8 10 12 14 13 9 6 5 5 6 7 8 9 10 12 11 9 6 5 5 6 7 8 9 9 10 10 10 10 11 12 12 11 9 7 6 6 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 9 7 7 7 8 10 11 11 11 10 10 10 11 12 11 12 12 13 12 11 11 11 11 11 10 9 9 9 10 10 9 8 7 7 7 7 7 6 5 6 6 6 7 7 8 9 9 10 12 12 12 12 11 10 10 9 7 5 4 4 6 8 10 11 11 10 9 9 8 8 8 nan
nan 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 9 10 11 11 10 8 8 8 8 6 5 4 5 6 7 8 9 9 9 10 10 11 12 14 15 17 19 20 19 18 16 13 11 10 11 12 14 15 11 6 4 4 5 6 8 9 11 12 11 9 7 5 5 6 7 8 8 8 9 9 8 8 8 8 10 12 12 11 8 6 5 6 7 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 10 10 10 10 9 8 7 6 7 8 9 10 10 10 10 10 11 11 11 11 11 12 12 13 12 11 10 10 10 10 10 10 9 10 10 10 9 9 8 8 8 7 7 7 7 7 7 6 7 7 7 7 9 10 12 13 13 13 12 11 10 7 5 3 3 4 6 8 10 9 8 7 8 8 9 9 nan
nan 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 12 13 12 11 10 9 8 6 5 5 5 6 7 8 7 6 7 8 9 8 8 10 12 14 17 19 21 22 21 19 17 16 15 15 15 13 9 5 3 4 7 9 10 11 11 11 9 8 7 7 8 8 8 8 8 8 8 7 7 7 6 6 5 6 8 8 7 5 3 4 5 6 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 10 9 8 7 7 7 8 9 9 9 9 9 10 10 10 10 10 11 11 12 12 12 11 10 9 9 10 10 10 9 9 10 10 10 9 9 9 9 8 7 7 8 8 8 7 7 7 7 7 8 9 10 11 12 13 14 13 11 9 7 5 5 5 7 8 9 8 7 5 6 7 8 9 nan
nan 9 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 8 10 12 14 14 14 13 11 9 7 5 5 5 6 7 8 6 5 7 8 9 9 8 8 10 11 13 17 21 24 25 24 23 21 19 17 15 11 7 5 5 8 11 13 14 13 12 10 9 8 8 8 9 9 9 9 9 8 7 7 7 7 6 5 3 3 3 4 5 4 3 3 3 4 5 6 7 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 10 9 8 8 8 8 8 9 9 9 8 9 9 10 10 10 10 10 10 11 11 12 11 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 9 8 8 8 8 8 8 8 8 9 9 10 11 13 13 11 10 8 7 7 7 8 8 9 8 7 5 5 6 6 7 nan
nan 11 9 8 7 7 6 7 7 7 7 8 8 9 9 8 6 6 7 8 10 13 15 16 15 13 10 8 6 5 5 6 7 6 5 5 7 8 9 10 11 10 9 9 10 13 17 21 26 28 29 26 23 20 16 12 8 8 10 12 15 16 15 15 13 11 10 8 8 8 8 9 9 9 9 8 8 7 6 6 6 5 5 4 4 4 5 5 5 4 3 3 4 5 6 7 7 8 8 8 9 9 10 10 9 9 8 8 8 8 9 9 10 10 8 8 8 8 8 8 8 9 8 8 8 9 9 10 10 10 10 10 10 11 11 11 11 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 9 9 8 8 9 9 9 9 8 8 9 9 10 10 9 8 8 8 8 8 9 9 9 7 6 5 6 6 7 nan
nan 12 11 9 8 7 6 6 7 7 8 8 9 9 9 7 6 5 6 7 9 11 14 16 17 16 13 10 7 6 7 8 7 6 5 6 7 7 8 8 9 11 10 9 9 10 13 17 23 30 32 30 27 24 20 16 13 12 14 15 15 14 13 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 8 6 6 6 6 6 6 6 6 7 7 7 6 5 5 5 5 5 6 7 8 8 8 8 9 9 9 8 8 8 8 9 9 10 10 9 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 11 12 12 11 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 9 9 8 9 9 9 9 9 8 8 8 8 8 8 7 8 8 9 9 9 10 10 9 8 7 6 6 7 nan
nan 13 13 11 10 9 8 7 7 7 8 8 9 9 9 7 5 5 6 7 8 10 12 15 17 17 15 13 10 9 9 9 8 7 6 6 6 6 6 7 8 9 9 9 9 9 11 15 21 27 29 29 29 28 26 24 20 17 15 14 13 12 10 8 7 7 8 10 11 12 12 12 12 12 12 12 13 13 10 8 7 6 6 7 7 8 8 8 8 8 8 7 7 6 5 5 5 6 7 8 8 8 8 8 8 8 8 8 9 9 10 11 11 10 8 7 7 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 11 12 12 11 12 11 11 11 11 11 10 10 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 8 7 7 7 nan
nan 14 14 14 13 11 10 9 8 8 8 8 8 8 8 7 5 4 5 6 8 9 11 13 14 15 16 15 13 12 11 11 10 9 7 7 6 5 6 7 8 8 9 10 10 11 12 14 17 20 23 25 27 29 30 31 28 24 19 15 12 11 9 8 7 7 9 11 13 14 15 14 14 13 13 13 13 12 11 9 8 6 6 7 8 8 8 9 9 9 9 8 8 7 6 5 5 6 8 9 9 8 8 8 8 8 9 9 9 10 10 11 11 11 10 9 8 7 7 8 9 9 9 9 9 9 9 9 9 8 7 7 6 8 9 10 11 11 11 11 11 11 12 12 12 11 10 9 9 10 10 10 9 9 9 10 10 10 9 9 8 8 8 9 9 10 9 9 9 9 9 8 8 8 9 9 10 10 10 11 11 10 9 8 8 7 nan
nan 13 14 15 14 14 13 11 10 9 8 8 8 8 7 7 5 5 5 6 7 8 10 11 12 13 14 15 15 14 13 13 12 11 10 8 6 5 6 7 8 9 9 10 11 11 11 12 13 15 18 21 23 25 27 31 32 28 22 17 12 10 8 8 8 9 11 12 13 13 13 12 11 11 10 9 9 8 8 8 7 7 7 8 8 8 9 8 8 8 8 8 8 8 7 6 5 6 8 10 10 10 9 9 8 9 9 9 9 9 9 10 10 11 10 10 10 9 8 9 9 10 10 10 10 10 10 11 10 10 9 7 6 8 9 10 10 10 10 10 10 10 11 12 12 12 10 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 10 10 10 10 10 9 8 8 8 9 9 9 9 9 9 9 9 8 8 7 nan
nan 12 13 14 14 15 15 14 12 11 10 9 8 8 7 7 6 6 6 7 7 8 9 10 10 11 12 13 14 14 14 14 13 13 12 10 6 6 7 7 8 9 9 9 9 10 10 11 11 12 14 17 18 20 22 25 28 27 24 18 14 9 5 6 8 10 12 12 10 9 8 7 7 6 6 5 4 3 3 5 7 8 8 8 9 9 8 8 8 8 8 8 8 8 7 6 5 6 8 10 11 11 10 10 9 9 9 9 8 8 8 8 8 9 9 10 10 10 9 9 10 10 10 10 10 10 11 11 12 12 11 10 9 9 9 10 10 10 10 9 8 8 8 10 12 12 11 10 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 9 9 8 8 7 7 7 8 8 8 7 nan
nan 11 11 12 13 15 15 15 14 13 11 10 10 9 8 7 7 7 7 7 8 8 9 9 10 11 12 12 12 13 13 12 12 13 14 12 9 7 7 7 7 7 8 8 8 9 10 10 11 11 12 13 15 16 17 18 21 23 23 20 16 9 5 6 8 10 10 9 6 3 2 2 3 4 4 3 2 1 2 5 7 8 9 9 8 8 8 8 8 8 8 8 8 8 7 7 6 7 9 11 11 11 9 8 8 9 10 10 8 7 6 6 7 8 8 9 9 9 9 10 10 10 10 10 9 9 9 10 10 11 11 11 11 10 10 9 10 11 11 10 9 8 7 9 11 12 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 10 10 10 9 9 10 10 9 8 7 7 8 9 9 9 nan
nan 10 10 10 11 13 14 15 15 14 13 12 11 10 9 8 7 7 7 7 8 8 9 9 9 10 11 11 12 12 11 11 11 12 13 12 10 9 9 8 8 7 7 7 8 9 9 9 9 10 11 11 12 13 13 13 15 18 20 20 18 12 10 10 10 9 7 5 2 -0 -2 -2 0 3 3 3 3 4 5 7 7 8 9 9 8 8 7 8 9 9 9 9 8 8 7 7 7 8 10 12 13 12 10 8 7 8 9 10 10 9 7 6 6 7 8 9 9 9 9 9 10 11 11 10 10 8 8 8 9 10 10 10 10 10 9 8 8 10 11 11 11 9 9 9 10 11 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 9 7 7 8 9 10 11 nan
nan 9 9 9 10 11 12 13 14 15 15 15 14 13 11 10 8 7 7 7 8 8 9 9 9 10 11 11 11 11 11 11 11 11 12 12 11 10 9 9 8 8 8 7 8 8 8 8 8 9 9 9 10 12 12 12 13 14 16 18 18 15 14 12 10 7 5 3 2 0 -0 1 3 5 6 6 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 7 8 9 10 12 13 13 12 11 9 9 9 10 11 11 10 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 8 8 8 8 9 8 8 8 8 8 7 9 10 11 11 10 10 10 10 11 11 12 11 9 9 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 9 8 7 7 7 8 9 10 nan
nan 9 9 9 9 9 10 11 13 14 15 16 15 15 13 12 10 9 8 8 8 8 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 9 8 8 9 8 8 8 8 8 8 8 8 7 7 8 10 11 11 11 11 12 15 16 15 13 10 6 3 3 3 4 4 5 6 7 8 8 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 12 12 12 12 12 11 10 9 9 10 11 11 10 9 9 9 9 10 10 9 9 9 9 9 10 10 9 8 8 7 8 8 8 8 8 8 7 7 8 9 9 9 9 9 10 10 10 11 12 12 11 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 9 8 6 6 6 7 7 8 9 nan
nan 9 9 9 9 9 9 10 11 12 14 15 15 15 14 13 12 11 10 9 9 9 9 9 9 10 10 10 10 10 11 10 10 10 10 10 10 9 8 8 9 9 9 9 8 8 8 7 7 7 6 6 7 8 9 9 9 8 10 12 14 13 11 7 3 1 3 6 7 8 7 6 5 6 7 9 11 12 12 12 10 9 9 8 8 7 7 7 7 7 7 7 7 8 8 9 10 11 11 11 11 10 10 10 11 11 10 9 9 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 9 8 7 7 8 9 9 8 8 8 8 8 8 9 8 7 7 8 9 10 11 11 12 13 12 12 11 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 10 10 10 10 10 11 11 11 10 8 6 6 6 6 7 8 8 nan
nan 9 9 9 9 9 9 9 10 11 12 13 13 13 13 13 12 11 11 10 10 9 9 9 9 10 9 9 10 10 10 10 10 10 10 10 9 8 8 8 8 9 9 9 8 7 7 6 6 6 6 6 6 6 7 7 8 8 9 11 12 13 11 8 5 5 7 9 10 9 6 3 2 3 5 7 10 12 13 13 12 10 9 8 8 8 8 7 7 7 7 8 8 9 9 10 11 11 11 9 9 9 9 9 9 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 7 6 7 9 9 10 10 9 9 9 9 10 10 9 8 8 9 9 10 11 12 12 12 12 12 11 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 10 10 10 11 11 12 12 12 10 8 7 6 6 7 7 7 nan
nan 9 9 9 9 9 9 9 9 10 11 12 12 12 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 8 8 8 8 8 8 8 7 7 6 6 6 6 7 7 7 7 7 8 8 9 10 11 13 13 12 12 12 12 11 9 7 5 4 4 4 5 6 8 9 10 11 10 9 9 9 9 10 9 9 9 9 9 9 9 10 11 12 13 12 10 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 10 10 10 8 7 7 9 10 11 11 11 10 10 10 10 10 10 9 8 7 8 8 9 10 11 11 11 11 11 10 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 12 12 12 13 12 10 9 7 6 6 6 6 nan
nan 9 9 9 9 9 9 9 10 10 11 11 12 11 10 9 10 10 11 11 11 10 10 10 10 9 9 9 9 9 9 8 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 6 6 6 7 8 9 10 10 9 9 9 9 9 10 13 15 18 20 20 16 11 8 6 6 7 9 9 8 7 6 6 7 7 7 7 8 9 10 10 11 11 11 11 10 9 9 9 10 11 11 11 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 10 9 8 7 8 10 11 11 10 10 9 9 10 9 8 7 7 6 6 7 8 9 10 10 10 11 11 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 12 12 12 12 12 11 10 8 7 6 6 6 nan
nan 9 9 9 9 9 9 9 9 10 10 11 12 11 10 9 9 9 10 11 10 10 10 10 11 10 10 9 9 9 8 8 8 9 9 9 8 8 8 7 7 8 8 8 8 8 7 7 7 7 8 9 11 12 12 11 10 10 9 10 12 14 17 21 24 24 21 15 11 10 10 12 12 13 11 9 7 6 6 6 7 7 8 8 8 9 11 11 11 11 10 9 8 8 8 8 8 7 6 6 6 6 6 6 6 6 6 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 10 11 10 9 8 8 8 9 10 10 9 9 9 9 9 9 8 7 6 6 5 5 7 9 9 9 10 10 10 10 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 12 11 11 10 9 8 7 7 nan
nan 9 9 9 9 9 9 9 9 9 10 11 11 11 10 9 9 9 9 10 10 10 10 11 11 11 10 10 10 9 9 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 11 12 13 13 12 11 10 10 11 13 15 17 20 22 23 22 20 17 15 15 14 13 12 11 9 8 7 7 8 9 9 8 8 8 9 10 11 10 10 9 8 7 6 5 4 4 4 3 3 3 4 4 5 5 5 6 6 7 8 8 9 9 8 8 8 8 9 9 9 8 8 8 10 10 10 10 9 8 8 8 9 9 9 9 9 9 9 8 9 9 9 8 7 6 5 6 8 8 8 9 9 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 12 12 11 11 10 10 9 8 nan
nan 9 9 9 9 10 10 10 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 10 10 9 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 11 10 11 12 13 14 15 16 16 16 16 16 15 15 14 12 10 7 7 6 7 7 8 8 9 9 9 10 10 9 9 8 8 8 8 8 7 6 4 3 3 3 3 3 4 5 6 7 7 7 7 7 7 8 8 9 9 8 8 8 9 9 10 10 10 9 9 10 10 9 8 8 8 8 8 8 8 9 9 10 10 9 8 8 9 9 10 9 8 7 6 7 7 7 8 9 10 9 9 8 8 8 8 8 8 9 9 9 9 9 10 9 9 9 9 9 9 10 10 11 11 12 12 12 12 12 11 11 10 9 nan
nan 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 12 12 12 12 11 11 10 11 11 11 11 11 10 10 10 10 11 12 12 12 12 11 10 9 9 9 9 8 6 4 4 5 6 7 8 8 8 9 10 10 10 10 9 7 7 8 8 8 7 6 5 5 5 5 7 7 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 8 7 7 8 9 9 8 8 9 10 10 10 10 8 8 8 8 9 9 9 8 7 7 7 7 8 10 10 10 9 8 8 8 8 8 8 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 11 11 12 12 12 12 12 11 10 9 nan
nan 9 9 9 9 10 10 10 10 10 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 10 10 10 10 10 11 11 12 12 12 13 13 12 11 11 11 11 11 11 11 10 9 9 9 9 10 10 10 9 9 8 7 6 6 6 5 4 4 4 5 7 8 9 10 10 10 10 10 10 10 10 9 9 9 8 8 7 6 6 7 8 9 9 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 10 10 10 11 11 11 12 12 12 11 9 8 6 7 7 8 8 8 9 10 10 10 10 10 9 9 9 8 8 9 10 9 9 8 7 8 9 10 11 11 10 9 8 8 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 11 11 12 12 12 11 11 10 9 nan
nan 10 10 9 10 10 10 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 10 10 11 11 11 12 12 12 12 12 11 11 10 10 10 11 11 11 11 12 12 13 13 13 13 12 12 12 12 11 10 9 9 9 9 8 9 9 9 8 8 7 7 6 5 5 5 5 6 8 9 10 11 11 12 12 11 10 9 9 9 9 8 8 8 8 8 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 12 13 13 12 10 8 6 6 7 7 7 8 9 10 11 11 11 11 11 11 11 10 10 10 11 11 10 9 8 9 9 10 11 12 11 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 nan
nan 10 10 10 10 10 10 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 12 13 14 15 15 16 16 16 15 13 11 10 10 10 9 9 9 10 9 9 9 8 8 7 6 6 7 8 9 10 10 11 11 11 12 12 11 10 9 8 8 8 9 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 10 10 10 11 11 12 12 13 13 12 9 8 7 7 7 6 7 9 10 11 11 12 12 12 11 11 11 11 11 12 12 11 10 9 9 9 10 11 11 11 11 9 9 9 10 10 9 9 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 nan
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nan 9 9 9 10 10 9 9 8 8 9 9 9 10 11 11 11 10 9 8 7 7 8 10 10 11 10 10 9 8 7 7 8 8 8 7 8 8 8 8 8 8 9 10 12 14 13 12 12 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 11 11 12 12 11 10 9 10 11 11 10 9 9 9 9 9 9 8 7 6 5 5 6 7 9 10 11 11 11 11 12 12 11 10 8 7 7 8 9 9 10 10 9 8 8 9 9 10 10 10 11 12 12 12 12 11 10 10 9 8 7 8 10 10 10 10 10 9 8 9 9 10 10 10 9 9 9 9 9 8 8 7 7 7 9 10 11 11 11 10 9 nan
nan 9 8 8 8 8 8 7 7 7 7 8 9 10 11 11 11 10 9 8 7 8 9 10 11 11 11 10 9 8 7 7 7 8 9 10 10 10 11 11 11 11 11 12 12 12 12 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 9 9 9 9 9 9 10 10 11 12 11 11 11 11 11 11 10 11 11 12 12 13 12 11 10 10 10 11 11 10 10 9 9 9 9 9 9 8 7 6 5 5 6 8 9 10 11 11 11 12 12 11 11 9 8 7 7 7 8 9 10 9 9 9 9 9 9 10 11 12 12 12 11 11 12 12 12 12 10 9 9 9 9 8 8 7 7 6 7 8 9 9 9 9 10 10 10 9 8 8 7 7 7 8 9 10 11 10 9 7 nan
nan 8 8 8 8 8 8 7 7 7 7 8 9 10 10 10 10 10 9 8 8 9 10 11 11 12 12 11 10 9 7 7 7 8 9 10 11 11 12 12 12 11 11 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 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 11 11 11 11 11 11 10 9 10 11 11 12 12 12 11 11 10 10 10 10 9 9 9 10 10 10 10 10 9 8 8 7 6 6 6 7 8 10 10 11 11 12 12 12 11 10 9 7 7 7 7 9 10 10 11 11 9 8 8 10 11 12 11 11 10 11 12 13 14 14 13 12 11 10 9 8 8 7 7 7 7 7 9 10 10 10 11 11 11 10 9 9 8 8 7 8 8 9 10 10 8 5 nan
nan 8 8 9 9 9 9 8 8 7 7 8 9 9 9 9 8 8 8 8 9 10 11 11 11 11 11 10 10 9 8 7 7 8 9 10 11 11 12 12 11 11 10 10 10 10 10 11 12 12 12 12 12 12 11 11 11 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 11 11 11 11 11 10 9 9 9 9 10 11 11 11 11 11 11 11 10 8 8 8 9 10 11 11 10 9 9 9 8 7 6 6 6 7 8 9 10 11 11 12 12 12 11 11 10 9 8 6 7 8 10 11 12 12 9 8 8 9 10 11 10 10 10 10 11 12 14 15 15 15 14 13 11 10 10 9 9 8 7 8 9 10 11 12 12 12 11 10 10 10 9 8 8 7 7 8 8 7 5 4 nan
nan 8 9 9 10 10 10 10 9 8 8 8 9 9 8 8 8 8 8 9 10 11 11 11 11 10 10 9 9 9 9 8 8 9 10 11 11 11 11 11 10 10 10 10 10 11 12 13 13 13 13 12 12 12 11 11 10 10 10 9 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 11 11 11 11 10 10 10 9 9 9 10 10 11 12 13 13 11 9 8 8 8 10 12 12 11 10 10 9 9 9 8 7 6 6 6 7 8 9 10 11 12 12 12 12 12 11 10 8 6 6 9 11 12 13 11 9 8 8 9 10 10 9 9 10 10 11 12 13 14 14 14 14 13 12 11 10 10 9 8 7 7 9 11 13 13 13 12 11 11 10 10 9 8 8 7 6 5 4 3 3 4 nan
nan 9 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 9 10 11 11 12 11 11 10 10 9 9 10 10 10 11 12 12 12 12 11 11 11 11 11 11 12 12 12 13 13 14 14 13 12 12 12 11 11 10 10 9 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 9 9 10 10 10 10 11 11 11 10 10 11 11 10 10 10 11 11 11 10 10 9 10 12 13 13 13 11 9 9 8 9 11 12 12 11 11 10 10 10 9 9 7 6 5 6 7 8 9 10 11 12 13 13 13 12 11 10 8 6 7 9 11 12 12 10 9 9 9 9 10 9 9 9 10 10 11 11 12 12 12 12 12 11 10 10 9 9 8 7 6 7 9 12 14 14 13 12 11 11 10 10 9 8 7 6 4 2 1 1 2 6 nan
nan 10 9 9 9 10 10 10 10 10 10 10 11 10 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 12 13 13 13 13 12 12 11 11 12 12 13 13 14 13 13 13 13 13 12 11 11 11 11 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 8 8 9 9 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 10 10 11 11 12 12 12 11 10 10 9 10 11 11 11 11 11 10 10 10 10 10 9 7 6 6 6 7 8 9 10 12 13 13 13 12 10 8 6 6 7 9 11 12 11 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 10 9 9 8 8 8 8 7 6 6 7 10 14 15 15 14 13 11 10 10 9 8 7 5 3 1 -0 -2 -1 4 8 nan
nan 11 11 10 10 10 10 10 10 10 11 11 11 12 12 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 13 14 14 14 14 13 12 11 11 12 13 14 14 15 14 13 12 12 12 11 10 10 10 10 9 9 8 8 9 10 11 11 11 10 9 9 8 8 8 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 9 9 10 10 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 10 10 10 10 10 10 9 8 7 6 6 7 8 9 11 12 13 13 12 9 7 6 6 8 10 11 12 12 12 11 10 9 10 10 10 10 10 9 9 8 8 8 8 8 9 8 7 6 6 6 6 6 6 7 9 12 14 15 15 15 13 12 11 10 9 9 6 4 1 -2 -2 -2 2 8 12 nan
nan 12 11 11 11 11 11 10 10 10 10 11 11 11 12 12 13 14 14 14 14 14 14 13 13 13 12 12 12 12 12 12 13 14 14 14 13 11 10 10 10 12 13 14 14 14 13 12 12 12 11 10 10 10 10 9 9 8 8 9 10 11 11 11 11 10 9 8 8 8 8 9 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 10 11 11 10 9 8 7 6 6 6 8 9 11 12 13 12 9 7 5 6 8 10 12 13 13 11 10 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 7 5 4 4 4 5 6 7 8 11 14 15 16 16 16 15 14 12 11 10 10 8 4 0 -1 -0 3 8 13 14 nan
nan 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 12 13 14 14 14 13 13 13 13 13 13 12 12 12 12 13 13 13 12 11 10 9 9 9 11 13 14 14 13 13 12 12 12 11 11 11 10 10 10 9 9 8 8 9 10 11 11 11 10 10 9 8 8 9 9 10 10 10 10 9 9 10 10 11 11 11 11 11 11 11 12 12 12 11 11 10 10 10 10 10 11 11 10 10 10 11 11 12 12 12 11 11 10 9 9 9 9 10 10 10 10 10 9 8 7 5 5 6 7 9 11 12 12 9 7 6 6 8 10 12 13 11 10 9 9 9 10 10 10 9 9 8 8 7 7 7 8 8 8 6 3 2 2 3 5 6 9 11 14 15 16 16 17 18 18 17 15 11 9 8 7 6 4 5 7 10 14 15 15 nan
nan 11 10 10 10 11 11 11 11 10 10 10 9 9 9 9 10 11 12 13 14 14 13 13 14 14 14 13 12 12 12 12 12 12 12 11 10 10 10 10 11 12 13 13 14 14 13 12 12 11 11 11 10 10 10 10 10 9 8 8 8 9 10 11 11 10 10 10 9 9 9 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 12 12 12 11 10 10 10 10 11 11 11 11 11 10 10 11 11 12 13 13 12 12 11 10 9 9 9 9 9 8 9 9 10 9 8 5 4 4 5 7 9 11 11 10 9 7 7 7 9 10 11 9 8 9 9 10 9 9 9 8 8 8 7 7 7 8 9 9 7 3 0 -0 1 4 7 9 11 14 15 15 16 16 18 20 21 21 16 11 8 6 6 8 10 12 14 16 18 17 16 nan
nan 10 9 9 9 11 11 11 10 10 9 9 9 9 9 9 9 10 11 13 14 15 14 14 14 14 13 13 12 11 11 11 11 12 11 10 10 10 11 12 13 13 13 13 13 13 13 12 11 11 10 10 9 9 9 9 9 9 8 7 7 9 9 10 10 10 10 10 10 10 11 10 10 10 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 10 9 9 10 11 11 11 11 10 10 10 10 11 12 12 12 12 12 11 11 10 10 10 10 9 8 8 8 9 10 8 6 3 2 3 6 8 9 10 11 11 10 9 8 8 9 8 8 8 9 10 10 10 9 9 9 9 8 8 7 8 8 9 8 4 -1 -2 -1 4 8 11 13 14 14 15 15 16 17 19 20 20 18 14 10 8 6 7 11 14 16 18 20 21 20 18 nan
nan 11 10 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 11 13 14 15 15 14 13 12 13 13 12 11 10 10 11 11 10 10 9 10 11 13 14 14 13 13 13 13 13 12 11 10 9 9 8 9 9 9 8 8 7 7 7 8 9 9 9 9 10 11 11 11 11 11 10 10 9 9 9 9 10 11 11 11 12 12 11 11 11 11 12 12 11 10 9 9 9 10 11 11 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 11 11 11 9 8 7 8 8 7 5 3 3 4 6 8 9 10 11 12 12 12 11 11 10 9 9 9 10 10 10 10 9 9 9 9 9 8 7 7 6 5 2 -2 -4 -2 2 8 12 13 14 14 14 15 16 17 19 20 19 16 11 8 7 7 8 10 13 16 19 21 21 20 19 16 nan
nan 11 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 12 13 14 14 14 14 13 12 12 12 12 11 11 11 11 10 9 9 10 11 12 12 12 12 12 12 12 12 12 11 11 10 9 8 8 8 9 8 8 7 7 7 8 9 9 10 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 12 12 12 11 11 12 12 12 11 9 9 9 10 11 11 10 10 10 9 9 9 9 9 9 10 10 11 12 13 13 13 13 12 10 8 7 6 6 6 4 4 5 6 7 9 10 11 11 12 13 13 13 14 14 13 11 10 9 9 9 9 9 10 10 9 8 7 5 4 2 0 -1 -2 -1 3 8 12 13 14 13 14 15 16 18 19 20 19 16 11 7 6 6 7 9 13 15 18 19 20 19 17 14 12 nan
nan 9 10 11 11 11 11 11 11 10 9 8 8 8 9 10 11 12 12 12 13 13 13 14 14 13 13 12 11 11 10 11 10 10 9 10 11 12 13 12 12 12 11 11 11 11 11 11 11 10 9 9 8 8 8 8 8 8 8 8 9 10 11 11 11 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 11 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 12 10 9 8 7 5 4 4 5 7 8 9 10 11 12 12 12 12 13 14 16 16 15 14 12 10 9 9 9 9 9 8 7 6 5 3 2 1 1 2 4 7 10 12 13 13 14 14 16 17 19 20 20 20 18 15 12 9 9 9 11 13 16 18 19 19 17 14 12 10 9 nan
nan 9 10 11 11 12 12 12 12 11 10 9 8 8 9 10 11 12 12 12 12 12 13 13 14 14 13 12 11 10 10 10 10 9 9 10 11 12 13 12 12 11 11 10 10 10 10 10 11 11 10 9 9 9 8 8 8 8 9 9 10 11 11 12 11 11 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 10 10 9 9 9 9 10 10 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 10 10 10 9 8 6 5 5 7 9 10 11 12 13 13 12 12 12 13 14 15 15 15 14 13 12 11 11 10 9 7 6 4 4 3 3 3 5 7 9 11 12 13 13 13 14 16 17 18 20 21 20 19 17 16 14 13 11 11 12 14 17 19 21 21 18 14 11 9 9 9 nan
nan 10 10 11 11 12 12 12 11 10 10 9 9 9 9 10 11 11 11 11 12 12 12 13 13 14 13 13 11 11 11 10 9 8 8 8 10 11 11 11 11 11 10 10 10 10 10 10 11 10 10 10 9 9 8 8 9 9 9 10 10 10 11 10 10 10 10 10 10 11 11 11 11 11 11 10 9 9 10 10 10 10 9 8 8 8 8 9 10 10 9 9 10 10 10 10 9 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 9 10 10 9 9 8 7 7 9 10 11 12 13 13 13 12 12 13 13 14 13 13 13 13 14 14 14 13 12 9 6 5 5 6 6 7 9 11 14 15 14 14 13 15 16 18 19 19 19 19 19 16 14 12 10 9 8 8 10 12 15 18 20 22 21 17 12 9 8 9 9 nan
nan 10 10 11 11 11 11 11 10 10 10 10 10 9 9 9 10 11 11 11 11 11 12 13 13 14 14 13 12 12 11 10 9 7 7 7 8 10 10 10 10 10 10 10 10 9 9 10 10 10 10 9 9 8 8 9 9 10 10 10 9 9 9 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 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 9 9 8 8 9 9 10 11 12 12 12 11 11 12 13 13 13 12 12 12 13 14 15 15 14 12 10 9 9 10 11 12 13 15 17 18 17 15 14 15 17 19 19 18 17 15 14 12 10 9 7 5 4 4 7 10 13 16 18 20 21 19 15 12 10 9 9 9 nan
nan 10 10 10 11 11 11 10 10 9 10 10 10 9 9 9 9 10 10 11 11 11 11 12 13 14 14 13 13 12 11 10 9 7 7 7 8 9 9 10 10 10 10 10 9 9 9 9 10 9 9 8 8 9 9 9 10 10 10 9 8 8 7 7 8 9 9 10 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 10 10 10 9 9 9 9 9 8 9 9 10 10 10 11 11 12 13 12 11 10 11 12 13 15 15 15 14 12 11 11 12 13 14 15 17 18 18 17 15 13 12 14 16 16 15 13 11 10 8 8 7 7 7 6 6 8 10 13 15 16 17 18 18 16 14 12 11 10 10 10 nan
nan 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 13 13 13 13 12 11 11 10 9 8 8 8 8 9 9 10 10 11 11 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 7 7 7 8 8 9 10 10 11 12 12 11 11 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 9 9 10 11 11 12 12 12 10 9 10 12 13 14 14 13 12 11 11 12 12 13 14 15 16 15 14 12 10 8 10 12 14 13 12 10 10 9 9 10 11 11 10 9 10 12 13 14 14 14 14 14 14 14 13 12 12 12 12 13 nan
nan 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 9 10 11 12 13 13 13 12 12 11 11 11 10 10 10 10 9 9 10 10 11 11 12 11 10 9 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 8 7 7 7 7 8 8 9 10 11 12 12 12 11 11 11 12 11 11 11 10 10 10 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 10 10 10 10 10 9 9 9 9 9 9 8 7 8 9 9 10 10 10 11 11 11 10 9 10 11 12 12 12 11 10 10 10 10 11 12 12 13 13 12 11 11 10 10 12 14 16 15 14 14 13 13 14 15 15 15 12 10 10 10 11 12 12 11 11 11 11 11 12 12 12 13 15 15 nan
nan 10 10 10 10 10 10 10 10 9 8 8 9 9 9 8 8 7 7 8 9 10 11 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 10 10 11 11 12 11 11 10 9 9 9 9 10 9 9 9 9 9 9 9 10 10 9 9 8 8 8 8 7 7 7 8 9 10 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 9 10 10 10 11 10 10 10 10 10 10 10 10 11 11 10 10 10 9 9 9 10 11 12 12 12 12 13 14 16 16 17 17 18 17 16 16 16 16 17 16 15 14 11 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 15 15 nan
nan 10 10 10 10 10 10 10 9 8 8 8 9 9 9 8 7 7 7 7 8 10 11 12 13 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 9 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 10 10 9 8 7 7 8 8 9 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 9 9 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 10 10 10 9 9 10 10 10 10 10 10 9 9 8 8 8 8 9 10 10 10 11 11 10 10 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 12 13 13 13 14 16 17 17 17 16 16 16 16 14 14 13 14 14 13 12 12 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 12 13 14 nan
nan 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 7 6 6 7 8 9 10 11 11 10 10 10 9 10 10 11 11 11 11 11 11 11 10 9 8 8 8 9 9 10 10 11 11 11 10 10 9 9 9 8 8 8 8 9 9 9 10 11 11 10 9 8 8 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 9 9 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 9 8 7 7 7 8 8 8 7 7 8 9 9 8 8 9 10 10 11 10 10 10 9 8 7 8 9 10 12 13 14 15 15 15 15 15 14 13 13 13 13 13 12 11 11 11 10 10 10 10 11 11 11 11 11 11 10 10 11 11 11 10 10 11 11 11 11 11 nan
nan 8 9 9 9 10 10 10 10 9 9 9 9 9 9 8 7 6 5 5 6 8 9 10 10 9 8 8 8 9 10 11 11 12 12 12 12 11 10 9 9 8 8 8 8 9 10 10 10 10 10 10 10 10 9 8 8 8 9 9 10 10 11 11 11 11 10 10 9 9 9 9 9 10 11 12 13 13 13 12 12 11 11 11 11 11 10 9 9 9 10 11 11 11 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 6 7 7 7 5 4 3 3 4 5 6 7 8 9 10 10 11 10 9 8 6 5 7 8 11 13 14 15 15 14 14 13 12 11 11 11 11 12 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 nan
nan 8 9 10 10 11 11 12 11 10 10 10 10 9 9 8 6 5 5 5 6 8 9 10 9 8 7 7 7 8 9 10 11 12 13 13 12 12 11 10 9 9 9 8 8 9 9 10 10 10 10 10 10 10 9 8 8 8 8 9 10 10 10 10 10 10 10 9 10 9 9 8 8 9 10 11 12 12 13 13 13 14 14 14 13 12 11 9 8 8 10 12 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 8 7 6 6 6 7 7 6 5 3 2 2 3 5 6 7 8 9 10 10 10 9 7 5 5 7 9 11 12 12 13 13 14 13 11 10 9 9 9 10 10 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 nan
nan 9 10 10 11 12 12 12 12 11 10 10 10 10 9 8 6 5 5 5 6 8 9 10 9 8 7 6 6 7 8 9 11 13 13 13 13 12 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 9 8 8 8 8 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 12 15 16 18 18 17 14 12 10 9 10 12 14 15 15 15 14 14 13 13 13 13 12 11 11 11 11 11 10 10 10 10 9 9 9 8 7 6 5 5 5 5 6 8 9 9 8 7 5 5 5 5 6 7 8 10 11 12 11 9 7 7 7 9 11 12 11 10 11 12 13 12 11 9 8 8 8 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 10 nan
nan 10 10 10 11 12 12 12 12 12 11 12 11 10 9 8 7 6 5 6 8 10 10 10 9 8 7 6 6 6 7 8 10 12 13 13 13 12 12 11 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 8 7 6 6 7 9 11 14 16 18 19 18 16 15 13 12 13 15 16 17 17 16 16 16 17 16 15 13 12 11 11 11 11 11 11 11 10 9 8 6 4 3 3 3 4 5 6 7 9 10 10 11 11 11 10 9 8 9 11 12 14 15 15 14 13 11 11 12 13 14 13 12 11 10 11 11 12 11 10 9 9 9 9 10 10 10 9 9 9 9 9 10 9 10 10 10 10 10 11 11 11 11 10 10 9 9 8 8 9 9 9 nan
nan 10 10 10 10 10 11 11 11 11 12 12 12 11 10 8 7 6 7 8 9 10 10 10 9 8 7 7 6 6 7 8 10 11 12 13 13 12 12 12 11 11 11 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 10 11 11 10 10 10 11 11 10 9 7 6 6 6 7 7 8 9 12 15 16 17 17 16 15 15 15 15 15 15 15 15 15 16 15 14 13 12 12 11 10 10 11 12 12 12 10 8 5 3 3 3 4 5 6 7 8 9 10 11 12 13 13 13 12 12 14 15 16 17 17 17 17 16 15 14 14 14 14 13 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 8 8 8 9 9 9 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
4 2 1 2 2 2 2 2 2 3 4 7 31 146 469 942 1349 1506 1574 1567 1543 1520 1506 1505 1524 1562 1579 1598 1596 1597 1615 1642 1666 1690 1716 1756 1805 1844 1866 1877 1882 1874 1831 1768 1698 1633 1584 1553 1543 1560 1579 1616 1660 1701 1757 1850 2042 2271 2448 2551 2587 2583 2575 2468 2240 1942 1638 1387 1214 1105 1032 1017 1009 1028 1056 1079 1101 1086 1017 908 798 754 760 780 844 903 990 1054 1097 1120 1101 993 777 587 467 386 335 308 295 282 253 214 165 122 105 119 145 166 186 197 191 171 148 129 120 112 96 92 90 87 91 87 82 66 42 30 43 70 60 46 39 32 23 15 10 9 12 34 41 33 19 7 2 1 4 16 17 11 3 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1
4 3 2 1 2 1 1 1 1 2 1 1 3 20 99 384 788 1090 1331 1488 1556 1553 1515 1481 1483 1530 1526 1553 1575 1598 1617 1629 1641 1652 1666 1714 1778 1820 1829 1822 1812 1808 1788 1749 1703 1661 1629 1601 1581 1584 1587 1613 1664 1735 1829 1957 2154 2377 2552 2659 2694 2654 2538 2302 1980 1636 1332 1110 980 911 868 872 880 896 908 898 854 764 631 522 445 408 403 413 446 490 528 570 621 674 711 700 634 556 496 459 440 430 416 389 351 320 287 253 232 233 238 231 223 215 194 166 140 122 113 109 107 107 96 72 62 55 57 49 40 39 60 97 77 47 28 20 19 23 27 15 12 33 46 41 23 7 1 2 11 24 23 12 3 1 1 1 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 1 1
3 2 1 1 1 1 0 0 0 1 1 0 1 1 5 47 182 425 736 1059 1330 1492 1547 1525 1496 1527 1494 1532 1569 1588 1593 1592 1597 1604 1617 1673 1736 1758 1742 1729 1726 1750 1764 1751 1720 1686 1660 1641 1607 1592 1587 1615 1677 1762 1870 2021 2218 2440 2637 2749 2747 2635 2402 2068 1710 1390 1141 974 876 814 784 772 775 773 745 683 595 484 343 245 184 160 162 172 188 208 228 249 288 344 401 453 502 534 534 511 467 415 386 376 368 376 376 357 329 303 262 226 190 163 142 125 115 107 100 100 102 106 103 86 72 68 63 58 65 89 129 174 162 112 77 49 32 35 40 24 24 36 43 35 16 4 4 9 15 16 10 3 3 7 4 2 1 1 1 1 1 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 1 1
2 1 1 0 0 1 1 0 0 0 1 0 0 1 1 2 11 55 177 395 659 926 1186 1353 1412 1451 1479 1544 1573 1570 1559 1557 1561 1567 1585 1638 1678 1667 1631 1626 1661 1720 1763 1766 1741 1705 1672 1646 1598 1581 1590 1634 1712 1815 1936 2089 2286 2501 2679 2759 2704 2508 2191 1835 1497 1239 1072 973 902 829 772 723 686 641 567 462 358 263 169 101 60 45 46 53 63 72 83 89 102 127 159 205 259 317 365 377 341 275 240 239 272 314 345 355 340 309 245 200 168 148 136 132 134 130 120 111 106 109 113 105 101 109 109 114 137 189 266 349 341 307 282 219 128 73 53 46 46 45 44 34 15 11 19 24 26 24 18 13 12 17 17 22 24 21 16 8 5 3 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1
1 1 1 0 0 1 1 1 0 0 1 0 0 1 1 0 0 2 14 52 137 250 433 657 874 1056 1204 1348 1462 1534 1564 1556 1527 1511 1555 1604 1622 1595 1556 1559 1623 1709 1776 1789 1767 1727 1681 1641 1606 1600 1626 1682 1772 1896 2039 2173 2341 2510 2627 2643 2524 2275 1954 1660 1369 1152 1010 913 830 742 664 594 519 440 348 246 168 105 63 33 15 8 8 11 17 17 22 25 29 36 45 61 82 98 136 163 159 139 125 126 145 178 215 239 242 230 202 178 161 155 160 171 170 164 146 127 110 98 91 92 104 124 144 161 188 240 317 401 457 513 563 531 394 242 141 95 67 52 43 32 19 17 29 44 53 51 38 23 15 16 19 30 51 72 69 49 32 19 12 6 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1
1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 3 10 22 61 113 196 345 539 753 990 1255 1466 1569 1568 1532 1559 1578 1570 1537 1505 1515 1597 1707 1795 1822 1807 1762 1704 1665 1649 1653 1688 1762 1874 2008 2130 2223 2314 2387 2426 2394 2253 2001 1741 1556 1313 1080 878 711 580 482 417 356 283 210 144 88 55 28 15 7 3 1 1 2 3 2 3 4 7 9 10 11 13 13 26 42 49 46 37 30 37 58 81 99 112 115 120 119 116 119 131 147 153 144 129 109 86 65 51 41 36 39 60 85 109 138 180 250 342 470 606 672 607 437 244 146 93 66 52 39 24 18 27 43 53 53 40 23 16 14 16 35 62 78 81 74 66 68 69 56 29 12 2 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 3 5 11 38 90 185 357 600 923 1244 1444 1472 1494 1508 1511 1485 1461 1485 1574 1698 1808 1858 1854 1805 1738 1700 1711 1721 1768 1879 2016 2125 2171 2170 2135 2109 2109 2081 1963 1757 1581 1443 1200 919 657 448 304 223 178 141 99 62 37 20 12 5 2 1 1 1 1 1 0 0 1 1 1 1 1 2 2 1 1 4 6 7 7 5 3 7 12 17 19 25 38 45 47 49 52 52 63 67 62 47 27 11 5 2 3 4 3 5 14 26 36 56 115 231 380 502 530 422 256 168 116 78 50 32 19 13 14 17 23 26 25 25 27 27 32 56 91 99 83 80 95 138 172 161 115 65 20 4 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 1 1
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