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 7 7 7 7 7 8 8 7 7 6 5 5 6 7 7 7 7 7 8 8 8 8 7 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 7 7 7 8 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 11 14 15 15 12 10 9 8 8 7 7 6 6 5 4 4 4 4 4 5 5 6 6 5 5 5 5 6 7 7 6 4 2 1 0 2 6 12 18 23 25 26 26 25 23 20 15 12 9 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 6 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 6 6 5 6 nan
nan 8 8 8 8 8 8 8 8 8 7 7 6 5 5 6 7 7 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 7 7 6 6 7 8 8 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 10 11 13 15 14 12 10 9 8 8 7 7 6 6 5 4 4 4 4 4 5 6 6 6 6 6 6 7 8 8 8 6 4 2 1 2 6 12 19 25 29 32 34 33 30 26 20 15 10 7 6 5 5 5 6 5 5 5 5 5 4 4 5 6 5 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 6 6 6 nan
nan 9 9 9 9 9 9 9 8 8 8 8 7 7 6 6 7 7 7 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 7 7 7 7 8 9 10 10 9 8 8 8 8 8 8 8 7 7 7 10 13 15 13 11 10 9 8 7 7 7 6 6 5 4 4 4 4 5 5 6 6 6 6 6 8 9 9 9 8 6 3 1 2 5 10 18 25 32 38 41 41 38 33 25 17 11 8 6 5 5 6 6 5 5 5 5 4 4 4 5 5 5 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 6 6 nan
nan 8 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 7 7 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 8 8 7 7 7 8 8 8 8 8 8 8 8 7 7 7 8 7 7 7 8 8 9 9 9 9 8 8 7 7 7 7 6 6 5 4 7 12 15 15 14 12 10 9 8 7 7 7 7 6 5 4 4 4 4 5 6 6 6 6 7 8 9 10 10 9 7 4 2 1 3 7 14 23 32 39 45 48 46 39 30 20 13 9 7 7 7 7 6 5 5 5 5 4 4 4 5 5 5 5 4 5 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 8 8 8 7 7 7 nan
nan 7 8 9 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 7 7 8 8 8 7 6 5 6 6 7 7 7 7 7 7 7 8 8 7 7 8 8 8 9 9 9 8 8 7 7 8 8 7 7 8 8 7 8 8 9 9 8 7 7 7 6 6 6 5 4 4 7 12 16 17 16 14 12 11 10 9 8 8 8 7 6 5 4 3 3 4 5 6 6 7 7 8 9 10 10 10 8 5 3 1 1 4 9 17 25 33 41 47 47 41 32 24 17 13 11 11 10 9 7 6 6 6 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 7 7 7 7 8 7 7 7 7 nan
nan 6 6 8 9 9 9 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 7 7 6 5 5 6 6 7 8 8 8 7 7 7 7 8 8 7 7 8 9 9 9 8 8 8 8 8 8 8 7 8 7 7 7 8 9 9 8 7 7 6 6 6 6 6 6 7 10 13 15 17 17 17 16 14 12 10 9 8 8 8 7 6 4 3 3 3 4 5 6 6 7 8 9 9 10 10 9 7 4 2 1 2 5 9 16 23 30 36 38 35 30 24 20 17 16 15 14 13 11 10 8 7 6 5 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 nan
nan 6 6 7 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 7 8 7 7 7 7 7 6 6 6 6 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 8 8 8 7 7 7 9 10 9 8 7 7 6 6 6 6 7 8 9 11 12 12 12 14 17 18 17 15 12 10 9 9 9 8 7 5 4 3 3 4 5 5 6 7 8 8 9 9 10 9 8 6 4 2 2 2 4 8 12 16 20 22 23 22 20 19 19 19 19 19 18 16 14 12 9 7 6 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 6 6 nan
nan 7 6 6 7 8 8 8 7 7 7 7 7 7 8 8 8 8 7 8 8 8 8 9 8 7 6 6 6 7 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 6 6 7 8 9 8 8 9 9 9 9 8 7 7 7 8 9 9 8 7 7 7 7 6 6 7 8 9 10 10 9 9 10 14 17 19 18 15 13 11 9 9 8 8 7 6 4 4 4 4 5 6 7 7 7 8 9 9 9 9 7 6 4 3 2 2 3 4 6 8 9 10 11 12 14 16 18 20 22 23 21 19 15 12 9 6 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 nan
nan 8 7 7 6 7 7 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 8 8 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 9 9 8 8 9 9 10 10 9 8 7 6 6 7 8 8 7 7 7 7 7 7 7 7 8 9 9 9 8 9 11 14 16 17 17 16 14 12 10 9 8 8 7 6 5 4 5 5 6 7 7 7 7 8 8 9 9 8 7 6 5 4 3 2 2 2 2 3 3 4 6 8 11 15 18 22 24 24 22 18 14 10 7 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 nan
nan 8 7 7 6 6 7 8 8 8 7 7 7 8 7 8 8 8 8 8 8 7 7 8 8 7 7 6 6 6 6 7 8 8 8 8 8 9 9 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 10 9 8 6 6 6 7 8 7 7 7 7 7 7 7 7 8 8 9 9 9 10 11 12 12 13 15 16 18 16 13 11 9 8 8 7 6 5 5 6 6 7 7 7 7 7 7 8 8 8 8 7 7 6 5 4 3 3 2 2 2 2 3 4 7 10 14 19 22 23 22 20 16 12 9 6 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 nan
nan 7 7 7 6 6 6 7 7 7 7 7 7 8 8 8 8 9 9 8 8 7 7 7 7 6 6 6 6 6 6 7 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 9 8 8 7 6 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 11 10 10 10 11 14 18 19 17 15 12 10 9 8 7 7 6 6 6 7 7 7 6 6 6 6 7 7 7 8 8 8 7 7 6 5 5 4 4 4 4 4 5 6 10 13 17 19 20 19 16 13 10 7 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 nan
nan 6 6 6 6 6 6 6 7 6 6 7 7 8 8 8 9 9 9 9 8 7 7 7 6 6 7 7 7 7 7 7 7 8 7 7 7 8 8 8 8 7 7 8 8 9 9 8 7 6 6 6 7 6 6 6 7 8 8 8 8 7 7 7 8 8 8 9 9 8 7 6 6 7 7 8 8 7 7 7 7 7 7 8 9 10 10 10 9 9 9 10 12 15 18 19 18 16 13 11 10 9 9 8 7 7 7 6 6 6 5 5 5 6 6 7 7 8 8 8 8 8 8 7 7 7 6 6 6 6 6 7 9 12 14 16 16 15 13 11 9 8 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 5 6 6 6 6 7 7 7 6 7 7 7 7 8 8 9 10 10 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 6 7 7 8 8 8 8 7 6 6 7 7 6 6 6 6 7 8 8 8 8 7 7 7 8 8 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 7 8 9 9 9 9 9 9 10 10 11 12 14 16 18 19 17 15 13 12 11 10 9 8 7 7 6 6 5 5 5 5 6 6 7 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 8 10 11 13 13 13 13 12 11 9 8 7 6 6 5 5 5 5 5 5 4 4 4 4 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 5 6 6 7 7 7 7 7 7 7 7 7 8 8 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 9 9 8 8 7 6 6 7 7 7 7 7 7 7 7 7 8 8 7 7 6 6 7 8 8 8 8 8 7 7 7 8 8 9 9 8 8 7 7 8 9 9 9 8 8 8 8 8 8 8 7 7 7 8 9 10 10 10 9 10 12 15 17 18 17 16 14 12 11 10 9 9 8 7 6 5 5 5 5 5 6 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 10 11 13 14 15 15 14 12 11 9 7 6 5 5 5 5 5 4 4 4 4 5 5 6 6 6 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 6 6 7 7 8 8 8 8 8 8 8 9 10 11 11 11 10 8 7 8 8 9 8 8 8 8 8 8 8 8 8 9 10 10 10 9 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 10 10 9 9 9 10 11 13 16 18 18 16 13 12 11 10 10 9 8 7 6 6 5 5 6 6 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 9 11 14 16 18 18 17 15 13 10 8 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 8 7 7 8 9 9 9 9 9 9 9 10 11 11 12 11 8 7 7 8 8 8 8 7 7 8 8 9 9 9 10 9 9 10 10 9 9 8 8 9 9 8 7 7 7 7 8 9 9 9 8 8 8 8 8 7 8 8 8 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 9 10 10 10 10 10 10 11 13 16 18 17 14 12 11 10 10 10 9 9 8 7 7 7 7 7 8 8 9 9 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 9 12 15 18 20 21 20 18 14 11 8 6 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 nan
nan 10 8 8 9 10 10 10 9 9 9 10 10 10 11 11 9 7 7 7 8 8 7 7 8 8 9 10 11 11 11 11 10 9 8 9 10 10 9 9 8 7 7 7 7 7 8 8 9 9 8 8 8 8 8 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 8 8 8 8 7 7 7 7 8 8 8 7 7 7 8 8 9 9 9 10 10 11 11 10 10 10 12 15 17 17 15 13 11 10 9 9 9 9 8 8 9 9 9 9 9 10 10 11 10 10 10 9 8 8 8 8 8 8 8 8 9 9 9 8 7 6 7 9 13 16 19 22 22 21 18 14 11 8 7 6 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 4 4 4 nan
nan 12 11 11 11 11 11 9 9 9 9 9 10 10 10 9 8 7 7 7 7 7 7 7 8 9 10 11 11 12 13 13 11 8 7 8 9 10 10 9 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 11 11 11 10 10 11 13 15 16 14 12 11 10 9 9 8 8 8 9 9 10 10 11 12 12 12 12 11 11 10 10 9 8 8 8 8 8 8 9 9 9 9 9 8 7 6 7 9 13 17 20 22 22 20 17 14 11 8 7 6 5 5 5 5 5 5 6 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 nan
nan 13 13 13 13 12 11 9 8 8 9 10 10 10 10 9 8 7 7 7 7 7 7 7 8 8 9 10 10 11 12 13 11 9 7 7 8 9 9 8 7 6 6 6 6 7 7 7 7 7 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 8 8 8 8 8 9 9 10 10 10 10 9 9 9 10 10 11 11 12 11 11 11 11 12 13 12 11 11 10 9 9 8 8 8 9 10 11 12 13 14 14 13 13 12 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 9 8 7 7 8 10 14 17 20 20 19 17 15 12 10 8 7 6 5 5 5 5 6 6 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 nan
nan 13 14 14 14 13 12 10 9 8 9 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 8 8 8 8 9 8 7 6 5 6 6 7 7 7 6 6 6 6 6 7 7 8 8 8 8 9 9 9 9 9 8 8 8 7 7 7 7 7 7 8 8 8 9 9 8 8 8 8 9 10 11 11 11 10 9 8 8 8 9 10 11 12 11 10 9 10 10 10 10 10 10 10 10 9 9 9 10 10 11 12 14 15 16 15 14 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 8 9 11 15 17 18 17 16 15 13 12 10 8 7 6 6 5 5 6 7 7 8 8 8 7 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 5 5 5 5 5 5 nan
nan 12 13 13 14 13 12 11 10 10 10 10 9 8 8 8 9 10 9 9 9 9 9 9 9 9 10 10 9 9 8 8 9 9 8 8 7 7 7 7 6 6 7 7 7 8 7 7 7 7 7 7 8 8 9 9 8 8 9 10 10 10 9 8 8 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 10 10 10 11 10 9 8 7 7 8 9 10 11 11 11 9 8 9 10 10 9 9 9 10 10 11 11 11 11 11 12 13 14 15 15 14 13 12 12 12 13 13 13 13 14 14 14 14 13 13 13 13 13 13 12 11 10 9 9 9 10 12 14 15 16 16 15 14 13 11 10 9 8 7 6 6 7 7 8 9 9 8 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 nan
nan 11 11 12 12 12 11 11 10 10 10 9 8 7 6 7 9 10 9 9 9 9 10 10 9 10 11 11 10 9 8 8 9 9 8 7 6 6 6 6 6 7 8 8 9 9 8 8 8 7 8 8 9 9 9 9 9 9 9 10 9 9 9 8 7 7 7 7 7 7 7 8 8 8 9 9 10 9 9 10 11 11 11 11 11 10 9 8 8 7 7 8 9 9 10 10 9 8 7 8 9 10 10 9 9 10 10 11 12 11 11 10 11 12 13 13 13 12 12 13 13 13 14 15 15 16 16 16 16 16 16 16 15 15 14 14 14 13 12 11 10 10 10 11 12 13 14 14 14 14 13 12 11 10 9 8 8 8 8 8 9 10 10 9 9 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 nan
nan 9 10 10 11 10 10 10 9 9 8 7 7 6 6 7 9 9 9 9 9 10 10 10 9 10 10 11 10 8 7 7 8 8 8 7 6 5 5 5 5 7 8 10 10 10 10 10 9 8 8 8 8 8 8 9 9 10 10 9 9 8 8 7 7 6 6 7 7 7 7 7 8 8 9 10 9 9 9 10 11 12 12 12 11 9 8 7 7 7 8 8 9 9 9 9 8 7 8 8 9 10 10 10 10 10 11 11 11 10 9 8 8 9 10 11 11 12 13 14 14 15 15 16 16 17 17 17 17 17 17 16 16 16 16 15 15 14 14 13 12 12 11 11 11 11 12 13 13 13 13 12 12 11 11 10 10 10 9 10 10 11 11 10 10 9 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 8 9 10 10 10 9 9 8 8 7 6 6 6 7 8 10 10 9 9 9 10 10 10 9 10 10 10 9 7 7 7 7 8 7 7 6 5 5 4 5 7 9 10 11 11 11 10 9 8 7 7 7 7 8 9 10 11 10 9 8 8 7 6 6 6 6 6 6 7 7 7 8 8 9 10 10 9 9 10 11 12 12 11 10 8 7 6 6 7 8 8 9 9 8 8 8 8 8 9 9 10 10 11 11 11 10 10 10 8 7 5 4 4 6 8 10 12 14 14 15 15 15 15 15 16 16 16 15 16 15 15 15 15 15 15 15 14 14 14 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 10 9 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 nan
nan 8 9 9 10 10 9 9 8 8 7 6 7 8 9 9 10 10 10 9 9 9 9 10 10 10 9 8 7 7 7 8 8 7 7 7 6 6 5 5 6 7 8 9 10 9 9 8 7 6 6 6 6 7 9 10 10 10 9 8 8 8 7 7 7 7 6 6 6 7 7 7 8 9 9 10 10 10 10 11 11 11 10 9 8 7 6 6 6 6 7 8 9 9 9 8 8 8 8 8 9 10 10 11 11 10 10 9 8 7 6 4 2 1 2 4 8 12 13 13 13 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 10 10 10 11 11 11 11 11 12 12 12 12 11 11 10 9 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 nan
nan 9 9 9 10 10 10 10 9 8 8 8 8 9 10 10 10 10 10 9 9 9 9 9 10 9 8 6 5 5 6 7 7 7 6 6 5 5 5 7 8 8 8 7 6 6 6 5 5 5 6 7 8 9 10 9 8 8 7 8 8 9 10 10 10 9 8 8 7 7 7 7 8 9 10 10 11 11 11 11 11 10 9 8 7 7 7 7 7 7 7 7 8 9 9 9 8 8 8 8 8 9 10 10 10 10 9 9 8 8 7 5 3 1 0 1 4 8 9 9 9 10 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 12 12 11 11 10 10 10 10 10 11 11 12 12 12 12 12 11 11 10 9 8 8 8 8 8 8 7 7 6 6 6 6 6 6 7 7 7 nan
nan 9 9 10 10 10 11 11 10 9 9 9 10 10 10 9 9 10 10 9 8 8 9 10 10 9 7 6 5 4 4 5 5 5 5 4 4 4 6 9 11 11 10 7 5 4 4 5 6 7 8 9 10 11 11 9 7 5 5 7 9 10 10 11 11 10 10 9 8 8 8 8 9 9 10 11 12 12 12 10 9 9 8 8 8 8 8 8 7 7 7 7 8 9 8 8 7 7 8 8 8 8 9 9 10 9 9 9 9 8 8 7 6 4 2 1 1 2 3 3 3 3 5 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 10 11 11 11 12 13 13 13 12 12 12 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 8 7 6 6 6 6 6 6 7 7 7 nan
nan 11 10 10 10 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 8 9 9 10 10 10 9 8 6 5 5 6 6 6 5 4 5 7 10 13 15 14 11 8 5 4 4 5 7 9 9 10 10 11 11 10 7 5 5 7 8 9 9 10 10 10 10 10 9 9 8 9 10 10 10 11 12 12 11 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 8 9 9 9 9 8 8 8 7 4 2 -1 -3 -3 -4 -4 -3 -1 1 3 4 4 5 5 5 5 6 6 6 7 7 7 7 7 7 8 8 9 9 10 10 11 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 12 12 12 12 11 11 10 9 8 7 7 6 6 6 6 7 7 7 nan
nan 12 11 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 8 8 8 7 6 6 8 11 14 16 16 13 9 6 5 5 5 6 8 9 9 9 10 11 12 11 8 5 5 6 6 6 7 8 9 10 10 10 10 10 10 11 11 11 11 12 12 12 10 9 9 9 9 9 9 8 8 8 9 9 8 7 7 6 6 6 7 7 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 10 10 8 5 2 -2 -4 -5 -6 -7 -7 -5 0 3 4 4 4 5 5 5 5 6 6 7 7 7 7 7 7 7 8 8 8 9 10 10 10 10 10 11 11 11 11 11 12 12 12 11 10 10 10 10 11 12 12 13 13 13 13 13 12 11 10 9 8 7 7 6 7 7 7 7 7 nan
nan 13 11 10 9 9 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 11 10 10 9 8 9 9 9 8 7 7 8 11 13 16 15 13 9 6 5 5 6 7 9 10 9 9 9 10 11 12 11 9 7 7 6 5 4 5 7 8 8 9 10 11 11 11 12 12 13 13 12 12 11 10 10 10 10 10 10 9 8 7 8 8 9 8 8 7 6 6 7 7 7 8 9 10 10 9 9 8 8 8 8 9 9 10 10 11 11 11 11 9 7 4 2 1 -1 -3 -5 -4 -0 3 4 5 5 5 5 5 5 6 6 7 7 7 7 7 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 11 12 13 13 12 11 10 10 10 11 12 12 12 13 13 13 13 13 12 11 10 9 8 8 7 7 7 7 7 7 nan
nan 12 11 9 8 8 8 9 10 11 11 10 10 10 9 9 8 7 8 9 10 10 11 11 11 10 9 8 8 8 9 9 8 8 8 10 12 13 13 11 8 6 5 5 6 8 10 13 14 13 12 11 11 11 12 11 9 8 8 7 6 6 6 6 5 6 8 9 11 11 11 12 12 13 13 12 12 11 11 10 10 9 9 9 8 7 7 7 8 9 9 8 8 8 7 8 8 8 8 9 10 10 9 9 8 9 9 9 9 10 10 11 12 12 12 11 11 10 9 7 6 4 1 -2 -2 -0 2 3 4 4 5 5 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 11 13 13 12 11 11 10 11 12 12 12 13 13 13 13 13 13 13 12 11 11 10 9 8 8 8 8 8 7 nan
nan 10 9 8 7 7 7 8 8 9 9 9 9 9 9 7 6 5 7 10 11 11 11 11 11 10 9 9 9 9 10 9 9 10 11 11 11 10 9 7 5 5 5 6 8 12 15 17 18 18 16 14 13 12 11 10 9 8 7 7 8 9 8 7 5 5 7 9 9 9 10 10 10 10 9 10 12 12 11 10 9 8 9 9 8 7 7 7 8 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 12 13 13 12 11 10 10 10 9 7 4 -0 -3 -3 -1 1 2 3 4 5 6 6 7 7 7 8 8 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 8 8 9 9 11 12 12 11 11 10 10 11 12 13 13 13 12 12 13 13 13 13 13 12 12 11 10 10 9 8 8 8 8 nan
nan 8 8 7 6 6 6 7 7 8 8 8 8 8 7 6 5 5 8 10 11 11 11 10 10 9 9 10 11 11 11 11 11 11 12 11 10 8 7 6 5 6 7 9 13 16 18 19 20 19 17 15 13 11 10 9 8 7 6 6 7 9 9 7 6 7 8 8 8 8 8 7 7 6 7 9 11 12 11 10 9 8 8 8 8 8 7 7 8 9 10 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 13 13 13 11 10 10 10 9 7 3 -1 -3 -3 -1 -1 -1 1 3 5 6 7 7 7 8 8 8 8 8 8 9 9 9 9 8 8 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 9 10 11 12 13 13 13 12 12 12 12 13 13 13 13 13 12 12 11 10 9 9 9 8 nan
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nan 9 9 8 9 9 8 8 8 8 8 9 9 9 8 8 7 8 9 10 10 9 10 10 10 9 8 8 8 8 7 7 7 8 8 9 10 11 10 8 8 9 11 12 13 12 12 11 11 11 10 9 9 10 11 12 13 12 13 15 16 16 15 14 14 13 11 8 4 3 4 7 8 8 7 7 7 6 6 5 6 6 7 7 7 8 9 9 9 9 10 11 12 11 11 10 9 9 8 8 7 7 6 6 5 4 4 5 5 5 6 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 4 0 -2 2 5 8 8 9 9 9 10 10 11 12 12 12 13 14 14 15 15 15 15 15 15 16 16 15 15 15 14 14 13 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 13 13 12 12 12 nan
nan 10 11 11 11 10 9 8 8 9 9 10 10 10 10 9 8 8 9 10 10 10 10 10 9 9 8 9 9 9 7 6 7 8 8 8 9 9 8 8 8 8 9 11 13 13 12 11 11 11 10 10 9 10 10 11 10 9 11 13 14 15 15 15 16 15 12 8 5 5 7 9 9 9 7 6 5 4 4 5 5 6 6 6 7 9 9 9 9 9 10 10 10 9 9 9 9 10 9 9 8 7 7 6 6 5 5 4 4 4 5 7 8 8 8 7 7 6 6 6 6 6 7 6 4 3 3 4 3 1 2 5 7 9 9 9 9 9 10 10 12 13 14 14 15 16 17 18 18 19 20 20 20 20 20 19 19 19 18 18 16 15 15 14 13 13 12 11 11 11 11 11 11 11 10 10 10 10 11 12 12 12 13 12 12 12 nan
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nan 9 9 8 8 8 9 9 9 10 10 10 9 10 9 9 9 9 8 8 9 9 10 11 12 12 12 11 10 9 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 9 9 9 10 10 10 10 9 8 7 8 9 10 10 10 9 8 8 8 8 9 9 9 9 9 10 11 11 11 11 10 9 9 10 10 10 10 10 9 9 9 10 10 11 11 10 10 11 12 13 13 12 11 9 8 8 8 8 8 9 10 11 10 9 9 9 10 9 9 10 11 10 10 11 12 12 12 11 11 11 11 11 10 9 9 10 11 11 11 11 9 8 6 6 6 6 7 7 7 7 7 7 7 8 9 10 9 9 8 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 nan
nan 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 8 8 8 9 9 10 11 12 12 12 11 10 9 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 7 7 7 8 9 9 9 9 9 9 8 8 9 9 9 9 9 10 11 11 11 10 9 9 9 9 9 10 10 11 11 10 9 9 9 9 9 10 11 12 12 13 14 14 12 10 9 8 8 8 8 9 10 11 10 10 10 11 12 11 10 9 9 9 9 10 10 11 10 10 10 10 10 10 9 8 7 8 10 11 11 10 9 8 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 8 8 9 9 10 9 9 10 10 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 11 nan
nan 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 8 8 9 9 9 9 10 11 11 11 11 10 9 9 8 8 8 9 9 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 9 9 8 8 8 8 8 8 8 9 10 10 9 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 8 9 10 10 11 12 11 10 9 8 8 8 9 11 12 12 13 13 13 12 11 11 10 9 8 9 9 10 10 9 9 10 11 11 10 9 8 9 9 9 9 9 10 10 9 9 9 10 9 8 6 6 7 8 9 9 9 8 7 7 7 8 8 7 7 7 8 10 10 10 10 10 9 8 7 8 9 10 9 9 10 10 11 12 12 12 12 12 12 12 12 13 13 13 12 12 12 11 11 11 11 11 11 nan
nan 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 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 9 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 8 9 10 10 11 11 11 10 9 8 8 8 9 11 12 12 12 12 11 11 11 11 11 10 10 10 10 10 9 8 8 9 10 9 8 7 7 8 9 9 9 9 10 10 10 10 10 9 9 7 6 6 6 7 8 8 8 7 6 6 6 7 7 7 6 6 6 7 8 10 10 10 10 8 8 9 10 10 8 8 10 11 12 12 12 12 12 12 12 12 12 13 13 13 12 12 11 11 11 11 10 10 10 nan
nan 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 10 9 9 10 10 10 10 10 10 9 9 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 10 9 10 10 11 12 12 11 10 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 10 11 12 12 11 11 10 10 11 11 11 11 11 11 10 9 9 9 9 9 8 6 6 7 9 11 11 10 10 9 9 10 10 10 9 9 8 7 7 7 7 7 7 8 8 7 6 6 7 7 8 7 6 5 5 5 8 10 11 11 10 10 11 10 9 9 9 10 11 12 12 12 12 11 11 11 11 12 12 12 12 11 11 11 10 10 10 9 9 9 nan
nan 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 9 9 9 10 10 11 10 10 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 9 9 9 10 10 10 10 9 9 9 11 12 11 10 9 9 10 10 11 11 11 10 10 10 10 10 9 9 9 9 9 9 10 11 11 11 10 10 10 10 9 9 9 9 10 11 11 11 11 11 10 9 10 10 10 10 10 11 11 11 10 10 9 8 8 8 8 9 11 12 13 12 11 9 8 8 9 9 8 9 9 8 8 8 8 7 8 8 8 8 8 7 8 9 9 9 8 7 6 5 7 9 11 12 12 12 12 11 10 10 10 11 12 12 12 12 11 10 10 10 11 11 11 11 11 10 10 9 9 8 8 8 8 8 nan
nan 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 10 10 11 11 11 11 11 10 9 9 9 9 10 10 10 10 9 9 9 8 9 9 9 8 8 7 7 7 7 7 7 7 7 8 9 9 9 10 10 10 9 9 8 8 10 11 11 10 9 10 11 12 13 13 13 12 11 10 11 11 10 9 9 8 8 9 10 10 11 11 11 11 10 9 9 8 8 8 9 10 10 11 10 10 10 9 9 9 9 9 10 10 11 11 11 11 9 8 8 9 9 10 11 12 13 12 10 8 7 7 8 8 8 8 9 9 9 9 9 8 8 9 9 9 9 9 10 10 10 10 9 9 8 8 8 9 10 11 11 12 12 11 10 10 11 11 12 12 12 11 10 10 10 10 10 10 10 10 9 9 8 8 7 7 6 6 6 7 nan
nan 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 6 6 6 7 7 8 8 9 9 9 9 9 8 7 7 8 10 12 12 11 11 12 13 13 13 14 14 14 14 14 14 14 12 10 8 7 7 8 8 9 10 11 12 11 11 10 9 8 8 7 8 9 9 9 9 9 8 8 9 9 9 9 9 10 10 11 12 12 11 10 9 9 9 9 10 12 12 11 9 7 7 7 8 8 9 9 10 10 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 10 10 9 9 9 10 10 10 10 9 10 10 10 11 11 11 11 10 10 10 10 9 9 9 9 9 8 8 7 7 6 6 5 5 6 6 nan
nan 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 11 12 12 12 11 10 10 10 10 9 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 7 6 6 7 7 8 8 8 8 8 8 8 8 7 6 6 8 11 12 12 12 11 11 11 11 10 11 12 13 14 15 16 17 15 12 9 8 8 8 8 9 10 11 12 12 11 11 11 10 9 8 7 7 8 7 7 7 7 8 9 9 9 9 9 10 10 11 12 12 12 11 10 10 10 10 11 12 11 10 8 7 7 8 9 9 10 11 11 11 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 9 9 9 10 10 10 9 9 9 10 10 9 9 9 9 9 9 8 7 6 6 5 5 5 6 6 nan
nan 10 10 10 10 10 9 9 9 10 9 9 9 8 8 8 8 8 10 11 12 11 11 10 11 11 11 11 9 8 7 7 7 7 8 8 7 7 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 7 8 8 8 8 8 8 10 12 12 11 10 9 9 8 8 8 8 8 9 10 11 13 15 15 15 13 12 11 11 10 9 9 10 11 11 11 12 12 11 10 9 9 8 7 6 6 6 7 9 10 10 10 9 10 10 10 11 11 12 11 11 10 10 10 10 11 11 11 9 8 7 8 9 10 10 10 10 11 11 11 11 11 11 11 10 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 9 9 9 10 9 9 9 10 10 10 9 9 10 10 10 9 7 6 6 5 5 5 5 6 7 nan
nan 11 10 10 9 9 9 9 10 10 10 9 9 9 8 8 8 8 9 11 11 10 10 11 12 12 12 11 10 8 7 7 6 6 7 7 7 7 7 8 8 8 8 9 9 9 8 8 7 8 8 8 8 8 8 8 8 9 9 10 11 12 12 10 9 8 7 7 7 7 7 6 6 7 7 7 8 10 12 13 14 14 14 13 12 11 10 10 10 10 11 12 12 12 12 11 10 9 8 8 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 9 9 9 10 10 9 9 9 10 11 11 12 12 12 11 11 10 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 8 6 5 4 5 5 5 5 6 7 7 nan
nan 11 10 10 9 9 9 9 10 10 9 9 9 9 8 8 8 8 9 10 10 10 11 11 12 13 12 11 10 9 8 8 7 6 6 7 7 7 8 8 8 8 8 9 9 8 8 8 8 9 10 9 9 8 7 7 8 8 10 11 12 11 10 8 7 6 6 7 7 6 6 6 6 6 6 6 6 7 8 9 10 11 12 12 12 12 12 11 11 11 11 10 10 11 12 12 11 10 9 9 9 10 10 10 10 10 10 10 10 10 9 8 8 8 9 10 10 10 9 8 9 9 9 9 9 9 9 9 9 9 8 8 9 10 11 11 11 11 11 11 11 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 8 5 4 4 4 5 5 6 7 8 8 9 nan
nan 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 10 10 10 11 12 13 13 12 11 10 10 10 10 9 8 8 8 8 8 8 8 8 8 9 8 9 9 9 10 11 12 12 11 9 7 6 6 7 8 10 10 10 9 8 7 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 7 7 8 9 10 11 11 12 13 13 11 9 8 9 10 11 10 10 10 11 11 10 10 10 10 10 10 10 10 10 9 8 8 8 9 10 11 10 9 9 9 9 9 8 8 9 9 9 9 8 8 8 9 10 10 10 10 11 11 11 11 10 10 9 9 9 8 8 9 9 9 9 9 9 11 11 11 11 11 10 9 9 9 9 9 10 10 10 11 11 11 11 10 9 6 4 4 5 6 7 7 8 8 9 9 10 nan
nan 10 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 12 13 12 11 10 9 10 10 11 11 10 10 10 10 10 10 9 9 9 9 9 10 11 12 13 14 14 13 12 10 8 7 6 7 8 9 9 8 8 7 7 6 6 7 7 7 8 8 8 8 7 7 6 6 5 5 6 6 6 7 7 8 8 9 10 12 12 11 9 7 7 8 9 9 9 10 11 11 11 11 10 10 9 9 9 10 9 9 9 9 9 9 10 11 11 10 10 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 11 10 9 9 9 9 9 8 7 7 7 7 8 10 11 11 11 11 11 10 10 10 9 9 9 10 10 10 11 11 10 10 9 6 4 4 5 6 8 8 9 9 10 10 10 11 nan
nan 10 11 10 10 10 10 11 11 10 10 10 10 10 9 9 9 9 9 10 10 11 12 13 12 11 10 9 8 9 9 10 10 11 11 11 11 12 12 12 12 11 11 12 12 12 13 14 14 13 12 11 10 9 8 7 7 7 8 7 8 8 8 7 7 7 8 9 8 8 8 8 8 8 8 8 7 6 6 6 6 6 7 7 7 8 8 8 9 10 9 8 8 8 8 8 8 8 9 9 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 10 11 11 11 10 10 10 9 9 9 9 10 11 11 10 10 9 9 8 8 8 8 8 9 10 10 10 9 9 9 9 10 9 6 5 5 6 8 11 12 12 12 12 11 11 10 10 9 9 9 10 10 10 11 10 10 8 5 3 3 4 6 8 9 9 10 10 10 10 11 11 nan
nan 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 10 11 11 12 12 11 10 9 8 8 8 8 8 9 10 10 10 10 11 12 13 13 13 12 12 12 12 12 12 12 12 11 11 10 9 9 8 8 7 7 7 8 9 9 9 9 9 10 9 8 7 7 7 8 9 9 9 8 8 7 6 6 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 10 11 11 11 11 10 9 9 9 9 10 9 9 9 9 10 11 11 11 10 10 9 9 8 9 9 10 11 11 11 10 9 8 7 6 6 7 9 9 10 9 9 9 9 9 10 8 5 4 5 6 9 12 12 12 12 12 11 11 10 10 9 9 10 10 10 10 11 10 9 7 4 3 4 5 7 9 9 10 10 10 10 10 11 11 nan
nan 10 10 10 10 10 10 11 11 11 11 11 11 10 9 9 9 10 10 10 11 12 12 12 11 9 8 8 7 7 7 7 9 10 10 9 8 8 10 11 12 12 12 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 7 7 8 9 9 9 10 10 10 9 7 6 6 6 7 8 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 10 10 10 10 9 9 9 9 9 10 10 9 9 9 10 11 11 11 11 10 9 8 8 8 8 10 11 12 12 12 10 8 6 5 6 8 9 9 9 9 8 8 8 9 9 6 4 4 6 8 11 12 12 12 12 11 11 11 10 9 9 9 10 10 10 10 11 11 10 9 8 7 7 7 8 9 9 9 10 10 10 10 10 11 nan
nan 10 10 9 9 10 10 11 11 10 10 10 10 9 9 10 10 11 11 10 11 11 12 11 10 9 9 8 8 7 8 8 10 11 10 9 7 7 8 10 12 12 11 10 10 10 10 11 11 11 11 11 10 10 10 10 9 8 8 8 8 8 8 9 9 10 9 8 7 6 5 5 6 7 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 10 9 9 8 8 8 8 8 9 9 9 8 8 9 9 10 10 9 9 9 10 10 10 10 10 9 8 7 7 7 8 10 11 12 12 11 9 8 7 6 8 9 9 9 9 8 7 7 7 8 7 5 5 6 8 11 12 12 12 12 11 11 11 11 10 10 9 9 10 10 10 11 11 10 10 11 11 11 9 7 7 8 9 9 10 9 10 10 10 10 nan
nan 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 10 11 12 11 10 8 7 9 11 12 12 11 11 11 11 11 10 10 9 9 9 9 10 10 9 9 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 10 10 10 9 9 8 7 7 8 9 9 9 9 8 8 9 10 9 9 8 8 9 8 8 8 8 7 7 6 6 7 8 9 10 10 10 9 8 7 7 8 9 10 10 9 9 7 7 7 7 8 7 7 7 8 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 10 10 12 12 10 7 6 6 7 9 10 10 10 10 10 10 10 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 11 10 9 9 9 9 9 9 9 10 10 10 10 10 12 13 12 11 9 8 9 10 11 11 11 11 12 12 11 10 9 9 8 8 8 9 9 9 8 8 8 8 8 8 8 7 7 6 6 7 7 7 7 7 7 6 6 5 5 5 5 5 5 5 6 6 7 7 8 8 8 8 8 8 9 10 10 10 11 11 11 10 10 10 10 11 11 10 9 9 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 6 6 7 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 8 7 7 8 9 9 10 11 11 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 7 5 4 5 8 9 10 10 10 10 10 9 9 nan
nan 9 8 8 8 8 8 8 8 9 9 9 9 9 10 11 12 12 11 10 9 9 9 9 9 9 9 9 10 9 9 10 12 12 13 12 9 7 7 8 9 9 10 10 11 11 10 10 9 9 8 8 9 9 9 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 5 5 4 4 4 4 4 5 5 6 7 8 8 8 9 9 9 9 10 11 11 12 12 13 14 14 15 15 14 13 11 10 9 8 8 8 8 8 8 8 8 8 7 6 6 5 6 6 6 7 8 8 8 9 9 9 9 9 10 10 10 10 9 9 9 9 9 8 8 9 10 12 13 13 13 12 10 9 9 9 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 11 10 8 6 5 5 6 8 9 10 10 10 10 10 9 9 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 11 12 11 11 10 10 10 10 9 8 8 8 9 9 9 9 10 11 12 10 8 6 6 7 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 6 5 5 6 6 6 5 5 5 5 5 5 5 7 8 9 9 9 10 10 10 10 11 11 12 13 14 15 16 16 15 14 12 11 10 9 9 9 9 9 10 10 9 9 9 9 8 7 7 6 6 7 8 10 11 11 11 10 10 10 11 12 12 12 11 10 10 10 10 10 10 10 11 12 13 15 15 14 11 9 8 8 9 9 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 9 9 9 8 7 8 8 9 10 10 11 10 10 9 8 nan
nan 9 9 9 9 9 9 8 8 7 7 8 9 9 10 10 10 11 11 10 11 11 11 10 9 8 8 8 8 8 8 8 8 9 9 8 6 5 6 8 9 10 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 8 6 4 4 5 6 7 8 8 8 7 6 5 5 7 8 9 9 10 11 11 11 11 11 11 10 10 11 11 12 12 12 11 11 10 10 10 10 10 9 9 9 8 7 7 8 8 9 8 7 7 7 8 10 12 13 13 13 12 12 12 12 12 11 10 9 9 9 10 10 10 11 12 12 13 14 15 14 13 11 9 8 8 8 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 10 11 10 10 9 8 8 10 11 11 11 10 10 9 nan
nan 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 10 10 9 9 10 11 12 11 9 8 8 8 7 7 7 7 7 6 6 5 4 5 6 8 9 9 9 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 9 9 9 9 8 8 8 9 9 9 10 11 11 9 7 5 4 4 5 7 9 9 9 8 7 6 6 7 8 9 10 11 12 12 12 11 9 8 7 6 6 7 7 8 8 8 7 7 7 8 9 9 8 5 3 2 1 2 3 4 5 5 5 5 7 9 12 13 13 12 12 11 11 11 10 8 6 6 6 7 8 9 9 10 11 12 12 13 14 14 13 12 10 9 9 8 8 9 10 11 11 10 9 9 10 10 11 10 10 10 10 10 10 10 10 11 12 12 10 9 9 10 10 11 11 11 10 9 nan
nan 11 11 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 8 8 10 11 12 11 10 9 8 8 7 7 6 6 5 5 4 2 3 5 7 8 8 8 7 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 10 11 11 10 9 7 5 4 5 6 8 8 8 8 8 7 7 8 9 10 11 11 11 11 10 9 7 6 6 7 7 7 6 6 5 3 2 2 3 4 5 4 2 0 -1 -1 -1 -0 0 0 0 0 1 2 4 7 9 10 9 8 8 8 8 7 5 3 2 3 5 7 8 8 10 11 11 12 12 13 13 13 12 11 10 9 9 8 8 9 9 10 11 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 12 12 12 11 10 10 10 11 12 11 10 10 nan
nan 11 10 10 9 9 10 10 10 9 8 8 8 8 8 8 8 8 7 7 8 10 12 12 10 9 8 8 8 7 7 6 5 4 2 1 3 7 9 9 8 7 8 9 8 8 8 7 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 11 11 10 10 8 7 6 5 6 6 7 8 8 8 7 7 8 9 10 10 10 10 10 9 8 8 9 11 13 12 11 9 7 5 3 2 2 2 2 2 1 0 1 2 2 3 3 3 2 2 1 1 2 2 3 4 4 4 5 5 5 4 4 3 3 4 6 7 8 8 9 10 11 11 12 12 12 12 12 11 11 10 10 9 9 8 8 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 11 13 12 12 11 11 11 12 12 11 10 9 nan
nan 10 10 9 9 9 10 10 10 10 9 8 8 8 8 8 8 7 6 6 6 8 11 12 11 9 8 8 8 8 8 7 6 4 2 1 4 8 9 9 8 8 9 10 10 9 9 8 9 9 9 9 9 9 10 9 9 8 7 7 7 7 8 8 8 8 8 9 9 10 10 10 10 9 8 7 6 5 6 7 8 8 8 7 8 9 10 10 9 9 9 9 9 10 11 13 15 16 15 14 12 10 8 7 7 6 6 5 5 5 5 6 7 7 7 7 6 6 6 5 5 4 3 2 1 1 3 5 6 5 5 5 6 7 8 9 8 8 8 9 10 10 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 10 9 8 8 9 9 10 11 10 10 10 10 10 10 10 11 11 12 13 13 13 13 13 13 12 10 9 nan
nan 9 9 9 9 9 9 10 10 10 9 9 9 8 8 7 7 6 6 5 4 6 10 12 11 9 8 8 8 9 8 8 7 5 2 2 4 7 8 8 8 9 10 11 11 10 10 10 10 10 9 9 9 10 11 10 9 8 6 3 2 3 4 6 8 8 9 8 9 9 9 10 10 9 9 8 7 7 8 9 9 9 8 8 9 9 10 9 9 9 9 9 10 10 11 12 14 15 16 15 14 13 11 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 8 7 6 4 3 4 5 6 7 7 7 8 9 10 9 9 8 7 8 8 9 9 9 8 8 7 8 9 10 11 11 11 11 10 9 9 9 10 11 10 9 8 8 9 10 11 11 11 11 11 11 11 11 10 10 10 11 13 14 15 16 15 15 13 11 9 nan
nan 8 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 6 6 5 5 6 8 11 11 9 8 7 8 9 9 9 8 5 2 2 3 6 7 8 9 9 10 10 10 10 10 10 11 11 10 9 9 10 11 11 11 10 7 3 0 -1 0 4 7 8 9 8 8 8 8 9 10 9 9 8 8 8 9 10 10 9 8 9 10 10 10 10 9 9 10 10 10 9 9 9 10 12 14 15 16 16 15 14 13 12 12 12 11 11 11 11 11 11 11 12 13 13 13 12 11 10 9 7 6 5 5 6 6 7 8 8 10 10 9 8 7 7 8 8 8 8 8 8 7 7 8 10 12 13 14 13 11 10 9 9 9 10 11 10 9 8 9 10 11 12 12 11 12 11 11 11 10 10 10 10 11 12 15 18 19 19 18 15 13 11 nan
nan 8 8 8 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 11 12 10 8 7 7 8 8 9 8 5 2 1 2 4 7 9 9 9 10 10 10 9 9 10 11 12 11 10 10 10 10 12 14 15 12 8 4 1 0 2 4 6 7 7 7 7 8 9 9 9 9 8 7 7 8 10 9 9 9 10 10 11 11 10 10 10 10 10 10 9 8 8 8 9 10 13 15 17 18 18 18 17 17 16 15 15 14 14 14 15 15 16 17 18 16 14 13 11 10 9 8 6 6 5 6 7 8 10 10 10 9 8 7 8 8 8 8 8 8 8 8 10 12 14 15 15 15 14 12 10 8 8 9 10 11 11 10 9 9 9 10 11 11 11 11 11 11 11 10 10 10 10 10 11 14 17 19 20 18 17 16 15 nan
nan 8 8 8 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 10 12 13 12 9 7 6 7 7 8 7 5 2 -0 -1 2 6 9 9 9 9 10 9 9 9 9 11 12 12 12 11 10 10 11 15 17 16 14 11 6 2 1 1 2 3 3 4 5 7 8 8 9 8 8 7 7 7 8 8 9 10 11 11 11 11 10 9 9 9 10 10 10 9 9 8 8 9 11 12 13 15 17 17 17 17 17 17 17 17 18 19 19 19 19 19 18 17 16 15 13 12 11 11 11 11 10 10 10 11 12 12 11 9 8 7 8 8 8 9 8 8 9 9 11 13 15 15 16 15 14 11 9 7 8 9 10 11 11 10 9 9 9 9 10 10 11 10 10 10 10 10 10 10 10 10 10 12 13 15 15 15 16 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
1 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 11 18 24 27 26 26 23 18 17 11 6 3 7 14 32 62 115 161 158 158 164 174 203 221 254 264 265 286 355 496 709 962 1217 1214 1164 1128 1155 1241 1276 1107 949 820 670 539 447 385 334 286 229 166 138 101 80 66 48 24 6 8 3 1 0 0 0 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 3 2 2 2 2 2 2 4 11 19 26 41 88 132
4 3 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 0 3 9 15 21 26 28 27 24 22 19 13 7 4 3 2 5 10 27 48 61 69 78 93 115 154 203 228 236 252 321 502 828 1145 1329 1383 1355 1233 1122 1115 1114 1042 1000 899 745 607 522 472 439 410 318 226 166 133 111 88 52 9 7 11 8 3 0 0 0 0 0 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 1 1 1 1 1 1 1 2 2 3 11 37 73
7 11 9 3 2 0 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 1 0 1 2 2 1 2 2 1 0 0 3 7 12 18 24 28 31 28 28 23 16 11 9 5 1 1 4 12 20 23 25 26 32 55 101 153 190 209 234 321 524 833 1089 1236 1257 1180 1071 1008 1018 1030 1045 1062 970 803 667 607 580 551 481 377 296 236 189 154 119 72 34 24 22 18 9 1 1 1 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 2 3 3 5 13 25
7 12 10 4 3 1 0 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 2 3 3 5 8 8 9 9 6 4 4 2 3 5 9 16 23 29 34 34 35 32 25 17 9 6 3 1 2 7 12 16 18 12 17 34 66 111 148 169 205 333 545 817 1079 1155 1093 1013 970 974 1023 1093 1200 1184 1018 821 697 662 652 615 538 467 400 324 253 209 154 103 69 53 48 41 27 13 8 5 3 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 1 2 4 4 3 3 4
3 3 2 2 3 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 6 6 9 10 10 11 12 10 9 9 6 3 4 10 17 25 30 34 36 38 39 37 31 13 9 6 3 3 6 11 19 15 10 16 29 53 83 108 126 155 285 497 731 933 1007 983 983 1017 1074 1128 1204 1247 1178 1004 820 714 700 716 697 654 594 511 419 327 260 196 147 108 90 84 70 51 37 25 16 13 12 11 9 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 3 4
0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 7 7 8 10 12 13 15 12 12 11 9 6 5 12 19 20 24 30 35 38 40 40 42 26 19 11 4 2 5 10 19 14 15 23 33 46 60 72 90 114 204 400 639 825 903 927 965 1070 1218 1317 1395 1386 1241 1039 890 825 827 834 806 752 679 588 510 423 337 267 215 177 153 138 110 89 69 47 29 22 20 19 17 13 5 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 1 1 2 4 6 8
0 0 0 0 1 6 7 4 2 0 0 0 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 2 4 7 8 8 9 13 15 15 14 12 12 13 13 12 17 20 18 19 25 34 41 42 42 42 36 26 16 7 4 7 12 16 16 22 29 34 39 44 50 66 80 133 284 496 678 781 821 857 963 1189 1387 1502 1523 1379 1106 993 902 866 847 819 791 770 686 611 536 455 371 296 245 214 194 176 151 114 78 54 40 34 27 23 18 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 4 7 9 9
0 0 0 0 1 11 10 4 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 2 4 6 6 6 10 14 15 15 13 12 16 20 19 20 18 16 16 22 34 43 46 47 45 39 30 22 15 10 13 17 19 18 23 30 32 32 27 30 47 60 90 178 329 503 656 702 723 775 881 979 1060 1113 1017 879 832 752 708 706 720 742 751 709 665 624 572 496 404 335 288 257 242 218 179 136 96 66 57 40 30 20 9 2 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 3 2 1 1 1 1 2 4 6 7 7
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