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 8 8 7 7 7 8 9 8 7 7 7 7 7 8 8 9 10 9 8 7 7 7 7 8 7 7 6 6 6 6 6 8 8 8 7 7 7 6 6 6 7 8 9 10 10 10 9 8 7 7 7 7 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 11 13 13 12 10 8 8 9 11 11 11 10 9 8 6 6 5 4 4 4 4 4 4 5 5 6 6 6 7 8 9 9 9 9 8 6 4 4 6 9 12 16 20 24 26 29 29 28 25 21 16 12 10 8 7 6 5 5 6 6 6 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 6 6 6 nan
nan 8 8 8 8 7 7 7 8 8 8 7 6 6 6 6 6 7 7 8 8 8 8 7 7 7 8 7 7 7 7 6 6 6 7 7 7 7 7 8 8 7 8 8 8 9 9 9 9 8 8 7 7 7 8 8 8 8 7 7 7 7 8 7 7 7 8 8 9 9 9 8 8 7 7 8 8 8 8 8 9 11 12 13 12 10 8 8 9 11 12 12 11 10 9 8 7 6 5 4 3 3 3 4 5 5 6 6 7 7 8 9 10 10 10 9 6 4 4 5 7 11 15 20 25 30 34 37 37 34 28 21 15 12 10 8 7 6 5 6 5 6 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 6 6 nan
nan 8 8 8 8 8 7 7 7 8 8 7 6 6 6 6 7 6 6 6 7 8 8 7 7 7 8 8 8 7 7 7 7 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 7 7 8 8 7 7 7 7 8 9 10 10 9 7 7 6 7 7 7 8 8 8 9 10 11 11 10 8 8 10 11 12 12 11 11 10 9 8 7 5 4 3 3 3 4 4 5 6 6 7 8 8 9 10 10 11 9 7 4 3 4 5 8 12 18 25 33 41 47 48 44 36 26 18 13 11 9 7 6 5 5 5 5 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 7 7 7 7 7 7 nan
nan 8 8 8 8 8 8 6 6 7 8 8 6 6 6 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 8 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 8 8 8 7 7 8 8 8 8 9 9 9 8 8 7 7 8 7 7 7 7 8 9 9 9 9 7 6 6 6 7 7 7 7 7 7 7 10 11 11 11 11 11 11 12 11 11 11 11 10 9 8 6 5 4 4 4 4 4 5 6 6 7 8 8 8 9 10 11 9 7 5 3 3 4 5 9 15 22 32 44 53 55 51 42 30 20 15 11 8 6 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 7 7 7 7 7 nan
nan 7 7 8 8 8 8 6 6 7 8 8 7 6 6 7 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 7 8 8 7 6 6 5 6 6 7 7 7 6 6 7 7 8 8 8 8 8 8 8 9 9 9 9 8 7 7 7 8 7 7 7 8 7 8 8 9 8 8 7 7 6 6 6 6 7 7 7 7 9 11 13 13 13 13 11 11 11 11 12 12 12 11 9 7 5 4 4 4 4 4 5 5 6 7 8 8 8 9 10 10 10 8 6 4 2 2 3 5 10 16 25 35 44 49 47 39 28 20 14 10 8 6 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 7 7 7 7 7 7 nan
nan 7 7 7 8 8 8 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 7 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 7 7 7 8 9 9 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 8 8 7 7 6 5 6 7 7 7 7 8 10 12 14 15 14 12 11 11 11 12 13 13 12 10 8 6 5 4 4 4 4 5 5 6 7 7 8 8 9 9 10 10 9 7 5 3 2 2 3 6 10 16 23 30 35 35 30 23 18 13 9 7 6 5 5 5 4 4 3 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 7 7 7 7 7 7 nan
nan 7 6 6 7 8 9 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 6 7 7 8 8 8 8 8 8 9 8 8 8 7 7 7 8 9 9 8 8 8 7 7 6 6 7 7 7 7 7 8 9 11 13 13 13 13 13 13 13 14 13 12 11 9 7 6 5 5 5 4 5 5 6 6 7 7 8 8 9 10 10 9 8 6 4 3 2 2 4 6 10 14 19 22 23 22 18 15 12 10 8 7 6 5 5 4 4 3 3 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 7 7 7 nan
nan 7 7 6 7 8 9 9 9 8 8 8 7 6 7 7 8 8 8 8 8 8 8 8 8 7 6 6 6 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 7 6 6 6 7 8 8 8 8 8 9 9 9 9 8 7 7 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 10 12 14 15 16 16 16 15 14 12 11 10 9 7 6 6 5 5 5 5 6 6 7 7 7 8 8 9 9 9 8 7 6 5 4 3 3 4 6 9 12 15 16 16 16 14 13 11 9 8 7 6 6 5 4 3 3 4 4 4 3 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 nan
nan 8 7 7 7 7 8 8 8 8 8 7 7 6 6 7 8 8 8 8 8 8 7 7 7 7 6 5 5 6 6 7 7 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 7 8 9 9 10 10 9 7 6 6 7 8 9 8 8 8 8 7 7 7 6 6 6 6 7 7 7 9 10 13 15 17 18 17 16 15 13 12 11 10 9 8 7 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 7 7 5 5 4 4 5 6 8 10 12 13 14 14 14 13 12 10 9 8 7 6 4 4 3 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 nan
nan 7 7 6 6 6 7 7 8 8 7 6 7 6 6 7 7 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 8 7 7 7 7 8 9 9 8 8 8 8 7 7 8 9 9 9 9 9 9 8 8 8 8 9 10 10 10 8 6 5 6 8 8 8 8 8 8 8 7 7 7 6 6 6 7 7 8 9 9 10 12 13 15 17 17 16 14 13 12 11 10 10 9 8 7 7 7 7 7 7 7 7 7 6 6 7 7 8 8 8 8 7 6 6 5 5 5 6 7 9 11 13 14 15 15 14 13 12 11 9 7 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 7 6 5 5 6 7 7 6 6 6 6 7 6 7 7 8 9 9 8 7 7 7 7 7 7 7 7 7 6 6 7 7 7 6 6 7 8 8 7 7 8 9 10 9 8 8 7 7 6 6 7 7 8 8 8 9 9 9 8 7 8 8 9 9 9 9 7 6 6 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 11 15 17 17 16 15 14 12 12 11 10 9 8 8 8 8 8 7 7 7 6 6 6 6 7 7 8 8 8 8 8 8 7 6 6 6 6 7 9 11 13 15 16 16 16 15 13 12 9 7 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 6 6 6 6 6 6 7 7 6 6 6 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 7 7 8 8 8 8 8 9 9 8 8 7 6 5 5 6 6 6 6 7 8 9 9 8 7 7 7 8 8 9 9 9 8 7 6 7 7 8 8 8 8 8 7 7 7 7 7 7 8 7 7 7 8 8 8 9 13 15 16 17 17 16 14 14 13 12 11 10 9 9 9 8 8 7 7 6 6 6 6 7 7 8 8 9 9 9 9 8 8 7 7 7 7 7 9 11 13 15 17 17 16 15 14 12 9 7 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 6 6 7 6 6 7 7 7 7 7 8 8 8 8 9 9 10 10 10 9 9 8 8 9 9 9 8 8 8 7 7 7 8 8 8 8 7 8 8 8 8 7 7 7 8 8 8 7 6 6 6 6 6 6 6 7 7 8 8 8 7 7 7 8 8 8 9 9 9 8 7 7 7 8 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 8 8 10 11 12 13 16 17 18 17 16 15 14 13 12 11 10 10 9 9 8 7 7 6 6 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 9 11 13 15 16 16 15 14 13 11 9 7 6 6 5 5 5 5 5 5 6 6 6 6 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 nan
nan 5 6 7 7 7 7 7 8 8 7 7 7 8 9 9 10 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 8 8 8 8 8 8 7 7 8 8 8 8 7 7 7 8 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 9 9 8 7 7 8 8 9 9 9 8 8 8 8 7 7 7 7 6 6 7 7 8 9 10 10 10 10 12 15 17 18 18 17 16 15 14 14 13 12 11 10 9 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 8 8 8 8 8 8 9 10 12 13 13 14 13 13 12 11 9 9 8 7 7 7 6 6 6 6 6 6 6 5 5 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 6 6 7 7 7 8 8 8 8 7 7 7 8 9 11 12 11 10 10 9 9 9 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 8 8 8 7 7 6 6 6 6 7 8 9 9 9 9 9 10 12 14 16 18 18 17 16 15 15 14 14 13 12 11 10 10 9 9 9 9 10 10 11 11 11 10 10 9 9 9 8 9 9 8 8 8 8 9 9 10 11 12 12 13 13 13 12 12 12 11 10 9 9 8 8 7 7 7 6 6 5 5 4 5 5 5 6 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 9 8 8 8 8 9 9 9 9 9 9 10 10 12 12 12 11 9 10 10 9 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 9 9 8 7 7 6 6 7 8 8 8 8 7 6 7 7 7 7 8 9 9 9 9 10 10 10 11 13 16 17 17 16 16 15 15 15 14 13 12 12 11 11 11 11 11 11 12 12 12 12 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 10 11 12 13 14 15 15 15 15 14 13 12 11 10 9 8 8 7 6 6 5 5 5 5 5 6 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 12 11 10 11 11 11 11 11 12 12 13 12 13 13 13 11 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 9 9 9 10 9 8 8 9 9 9 9 8 7 7 6 6 7 8 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 7 6 6 7 8 8 8 8 7 7 7 8 8 8 8 9 9 10 10 10 10 10 10 11 13 14 15 15 15 14 15 14 14 13 12 12 12 13 13 13 13 13 13 13 13 13 12 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 10 12 13 15 17 17 18 17 16 15 13 12 10 9 9 8 7 6 6 6 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 nan
nan 13 13 13 13 13 12 12 12 12 12 13 12 12 12 11 9 8 8 8 7 8 9 10 10 10 9 8 8 8 8 8 8 9 9 9 10 10 11 11 10 9 9 9 8 7 6 5 4 5 6 7 8 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 11 11 10 10 10 11 12 12 12 12 13 13 12 11 12 13 13 14 14 14 14 14 14 14 14 13 13 12 12 11 11 10 10 9 9 9 9 9 9 9 9 8 8 7 8 9 11 13 15 17 18 19 19 18 16 14 13 11 10 9 8 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 nan
nan 12 13 14 14 13 12 11 11 11 11 11 11 10 10 9 8 8 8 7 8 8 9 10 10 10 9 9 9 9 10 11 11 11 11 10 10 11 12 12 12 11 10 8 7 6 5 4 4 4 5 6 7 8 9 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 11 12 12 11 10 9 9 8 8 9 9 10 10 9 9 9 11 12 14 15 15 15 15 15 15 15 14 15 15 15 14 14 13 13 13 12 12 12 11 11 11 11 11 10 9 8 7 7 8 10 13 15 17 18 19 19 18 16 15 13 12 11 10 9 8 7 6 6 6 6 7 7 7 7 7 6 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 nan
nan 11 13 14 14 13 11 10 10 11 11 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 12 11 10 10 10 12 13 14 13 12 10 8 6 5 4 4 4 4 5 5 7 8 9 9 8 8 7 7 8 8 8 9 10 10 10 10 9 8 8 7 7 7 7 7 8 9 9 9 9 9 9 9 11 11 11 11 10 9 9 10 10 10 10 11 11 10 10 9 10 9 7 7 7 8 8 6 5 6 8 11 14 15 15 15 15 15 15 15 16 16 17 17 17 17 17 17 16 16 16 15 14 14 13 13 13 12 11 10 8 7 8 9 11 13 15 17 18 18 18 17 15 14 13 12 11 10 8 7 7 6 6 6 7 8 8 8 8 7 7 6 6 6 5 6 6 6 6 6 6 6 6 5 5 5 nan
nan 11 12 13 12 12 10 10 9 9 9 9 8 7 7 7 8 9 8 8 9 9 9 10 10 10 10 10 10 9 8 8 8 9 9 9 10 12 13 13 12 11 9 7 5 5 5 4 4 5 6 7 9 11 11 10 8 7 7 7 8 8 8 9 10 10 10 9 9 8 8 7 7 7 7 8 9 10 10 10 10 10 9 10 10 11 10 10 9 8 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 7 5 3 3 5 9 13 14 14 15 15 16 16 17 17 17 18 18 19 19 19 19 19 18 18 17 16 16 15 15 15 14 13 12 11 9 9 9 11 12 14 15 16 16 16 15 15 14 13 12 11 10 9 8 7 6 6 7 7 8 9 9 9 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 nan
nan 11 12 12 11 10 9 8 8 7 6 7 7 7 6 7 9 9 9 8 9 9 10 11 11 10 10 10 8 7 6 7 7 8 8 9 10 11 11 10 10 9 7 6 6 6 5 5 6 7 9 11 14 14 12 9 7 5 5 6 8 9 9 10 10 10 10 9 8 8 7 7 7 7 8 9 9 10 10 11 12 12 11 11 10 9 8 7 7 8 9 9 9 8 9 9 9 8 8 9 10 11 10 10 9 9 8 6 4 2 2 6 10 13 14 15 16 16 16 17 17 17 17 17 17 18 18 18 18 18 17 16 16 16 16 16 15 15 15 14 13 12 11 11 11 12 13 14 14 14 14 14 13 13 13 12 11 10 9 8 8 7 7 7 8 9 9 10 10 9 8 8 7 7 6 6 6 6 7 7 7 7 6 6 6 5 nan
nan 11 11 11 11 10 9 8 7 6 6 6 7 7 7 9 10 10 9 9 9 10 11 11 11 10 9 8 7 6 7 8 9 8 7 8 8 8 7 7 7 7 7 7 7 7 7 8 9 10 12 13 14 13 10 7 5 4 4 6 8 10 11 11 10 10 9 8 8 7 7 7 7 8 8 9 10 10 10 11 12 13 12 11 10 8 7 6 7 8 9 9 9 9 9 10 9 8 9 10 10 11 11 11 11 10 9 7 5 3 1 3 6 10 14 15 15 15 15 14 14 14 13 13 14 14 14 14 14 14 14 14 14 15 15 14 14 14 14 14 13 13 12 12 12 12 13 13 13 13 13 13 13 12 12 11 11 10 10 9 8 8 8 8 8 9 10 10 11 10 9 9 8 7 7 7 6 6 7 7 7 7 7 6 6 6 nan
nan 11 11 12 12 11 10 9 8 7 6 7 7 8 9 10 11 10 10 9 9 10 11 11 10 9 8 7 7 8 9 9 8 7 7 7 6 5 5 6 6 7 7 9 9 8 8 9 10 11 11 11 11 9 7 5 4 4 5 7 9 10 11 11 10 9 8 7 7 6 6 7 7 8 9 9 10 10 10 11 12 12 11 10 9 8 7 7 7 7 8 9 9 9 9 9 8 8 9 10 10 10 11 11 11 10 9 8 7 4 2 1 2 6 9 11 11 11 11 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 12 12 11 11 11 11 11 12 12 13 13 13 13 13 12 12 11 11 11 10 10 10 9 9 8 8 9 10 10 11 11 11 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 6 nan
nan 11 12 12 13 12 10 9 8 8 7 7 8 9 9 10 11 11 10 9 9 10 10 10 9 8 7 7 7 9 9 8 7 6 6 5 4 5 6 7 6 7 7 8 8 7 7 8 9 9 9 9 7 6 5 5 5 6 7 9 10 11 10 10 9 8 7 7 6 6 6 7 8 9 9 9 10 11 11 11 12 11 10 9 9 9 8 8 7 7 8 9 10 10 10 8 8 8 9 9 9 10 10 11 11 10 9 9 8 6 4 2 -0 -0 1 3 5 6 6 6 5 5 5 5 6 6 6 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 12 11 11 11 11 11 10 10 10 9 9 9 9 10 10 11 11 11 10 9 9 8 8 8 7 7 8 8 8 8 7 7 7 7 nan
nan 11 12 12 13 12 11 9 8 8 8 8 9 9 9 9 10 10 10 9 9 9 9 9 8 7 6 6 6 7 7 6 6 5 5 5 6 8 9 8 7 6 6 7 7 8 9 11 11 10 9 7 6 6 6 7 7 8 10 11 11 11 10 10 10 10 8 7 6 6 7 8 8 8 8 9 10 12 12 12 11 10 9 9 9 9 8 7 6 6 7 9 10 10 9 8 8 8 8 8 8 8 9 10 10 10 9 9 9 8 7 5 1 -2 -5 -5 -4 -1 1 1 1 1 2 3 4 4 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 9 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 10 10 11 11 11 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 7 7 nan
nan 10 10 11 12 13 12 10 9 9 9 9 9 9 8 8 9 10 10 9 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 8 10 11 11 8 7 6 7 8 10 12 13 14 13 11 8 6 6 7 8 9 9 10 11 13 12 10 10 10 10 10 9 8 8 8 8 8 7 7 7 9 11 13 13 12 11 10 10 10 9 9 7 6 6 6 7 8 8 9 9 8 8 8 8 8 7 8 8 9 10 9 9 9 10 10 10 9 6 2 -3 -8 -9 -8 -5 -4 -3 -3 -1 1 2 3 4 4 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 6 6 7 7 8 9 9 9 9 10 10 11 11 10 10 10 9 9 10 10 10 11 11 11 11 11 10 10 9 9 9 8 8 8 9 9 9 9 9 9 8 7 nan
nan 9 9 9 10 12 12 11 10 10 10 9 9 8 7 8 9 10 10 9 8 8 8 7 8 9 10 11 10 8 7 7 7 8 9 10 11 11 10 8 7 7 8 11 13 13 13 11 9 8 6 5 6 7 9 9 9 10 11 12 11 9 8 8 8 9 9 9 9 9 9 8 7 7 8 9 11 13 13 12 11 10 10 10 9 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 10 9 10 10 11 11 11 11 9 7 3 -2 -6 -8 -8 -7 -5 -5 -5 -3 -1 2 4 4 4 5 5 6 6 6 7 7 7 7 7 8 8 8 7 7 7 6 6 7 7 7 7 7 8 8 9 10 10 9 9 9 9 10 11 12 12 12 12 12 12 11 11 10 10 10 9 9 9 9 9 9 10 10 10 9 9 8 nan
nan 9 8 7 7 9 11 10 10 10 10 10 9 7 7 7 8 9 9 9 9 8 7 7 8 9 11 11 11 9 9 8 9 9 9 9 10 9 8 7 7 8 10 11 11 10 8 6 5 4 4 5 6 8 9 9 9 10 11 10 9 7 7 7 8 8 8 8 9 10 10 9 9 9 10 10 11 12 12 12 11 11 10 9 8 7 7 7 8 8 8 7 7 7 7 8 8 9 9 10 10 10 10 10 9 9 10 11 11 12 12 11 11 10 8 5 2 -1 -3 -4 -3 -3 -5 -6 -4 -0 3 4 4 5 5 5 6 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 8 9 11 13 13 13 13 13 13 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 9 8 nan
nan 9 8 7 7 8 8 8 8 9 9 9 8 7 7 7 8 8 9 9 9 8 7 7 8 9 10 11 11 11 10 10 10 9 9 9 8 7 6 6 7 9 9 8 7 6 6 6 6 5 5 6 8 9 10 10 10 11 12 10 8 6 7 7 7 7 6 7 9 10 10 10 11 12 12 11 11 11 11 11 11 10 10 9 7 6 7 7 8 9 8 8 7 7 7 8 8 8 8 9 10 10 10 9 9 9 10 10 11 12 12 12 12 11 9 8 6 5 4 3 3 1 -1 -4 -4 -1 3 4 4 5 5 5 6 7 7 7 7 8 8 8 9 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 11 13 14 14 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 9 nan
nan 9 8 8 7 8 8 8 7 8 8 7 7 7 7 7 7 8 9 9 9 8 8 8 8 9 9 10 11 11 11 11 11 12 11 10 8 7 7 8 9 9 8 7 6 8 9 10 10 10 9 9 9 10 11 11 12 13 13 11 9 7 7 8 7 5 4 5 7 8 9 9 10 12 12 12 11 11 10 10 9 9 9 8 7 6 6 7 8 8 9 9 9 9 8 8 7 7 7 7 8 9 9 9 8 9 9 10 10 11 11 12 12 11 10 8 8 7 7 7 6 4 1 -1 -1 1 3 3 4 4 5 5 6 7 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 8 7 7 8 10 11 12 13 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 11 11 11 11 10 9 nan
nan 9 8 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 9 9 9 9 9 7 6 8 10 10 11 11 12 13 13 12 11 10 11 11 11 10 8 8 9 11 12 13 14 13 12 11 10 11 11 12 13 14 13 12 10 8 8 7 6 4 3 4 6 7 7 8 8 8 9 10 11 11 10 9 9 9 9 8 8 7 7 7 8 9 10 10 10 10 9 8 7 7 6 6 6 7 7 8 8 8 9 9 9 10 10 11 12 11 10 9 8 8 7 7 6 3 -0 -1 1 3 3 3 3 3 4 5 6 6 7 7 7 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 10 10 10 10 10 10 11 11 12 13 13 14 14 14 13 13 13 12 12 11 11 10 9 nan
nan 8 8 7 6 7 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 10 10 10 8 5 5 7 8 9 10 11 12 13 13 13 14 14 14 14 12 11 10 9 10 11 12 13 14 15 14 13 12 12 12 12 12 12 12 11 10 8 8 7 6 5 5 6 6 6 5 5 5 5 6 8 9 10 10 10 10 9 9 8 8 8 7 7 9 10 10 11 10 10 9 8 7 7 6 6 6 7 7 7 8 8 8 9 9 9 9 10 10 11 10 9 8 8 7 6 5 2 -0 0 3 4 3 2 2 2 3 4 5 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 9 9 9 9 9 8 9 10 10 11 12 13 14 14 14 14 14 14 13 12 11 10 10 nan
nan 7 8 7 7 7 7 8 8 8 9 8 8 8 7 7 7 8 9 9 9 10 10 10 8 6 6 7 7 8 9 9 10 10 11 13 14 15 14 13 13 12 11 10 10 10 12 13 14 14 15 14 13 12 10 10 10 9 9 8 8 7 6 6 5 6 7 8 8 6 5 5 5 5 5 6 7 8 8 9 10 10 9 9 8 8 8 8 9 10 10 10 9 9 8 7 7 6 6 6 7 7 8 8 8 8 8 8 8 9 9 9 9 9 10 10 9 8 7 6 5 3 2 3 5 5 3 2 2 2 2 2 3 5 6 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 11 12 13 14 14 14 14 14 13 12 11 11 nan
nan 7 7 7 7 7 7 8 8 8 9 8 8 7 7 7 8 8 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 9 11 13 13 12 12 13 13 12 10 9 8 10 12 13 13 13 13 12 11 9 7 6 5 5 4 4 4 4 4 5 7 9 10 10 8 7 7 6 6 6 6 6 6 6 8 9 10 10 9 8 8 9 9 9 9 9 9 8 8 7 7 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 6 5 5 6 7 6 5 4 3 2 0 0 1 3 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 11 12 12 13 14 14 13 13 12 12 nan
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nan 9 9 9 9 9 9 9 9 10 10 11 10 9 8 8 8 9 10 11 10 10 10 10 10 8 7 7 8 8 8 8 9 9 9 9 10 10 8 6 6 7 8 9 10 11 11 10 10 9 7 7 8 8 9 9 11 12 13 14 16 16 16 15 15 15 14 11 8 6 4 5 7 7 8 8 8 7 7 7 7 7 7 7 8 10 11 11 10 10 10 10 10 10 10 10 10 9 9 8 8 7 6 5 4 4 5 6 6 6 6 7 7 6 6 6 7 8 8 7 7 7 8 8 7 5 5 4 3 1 -1 4 12 19 24 26 26 25 22 18 15 13 12 11 12 13 13 15 16 17 18 19 18 18 19 18 18 17 18 18 18 18 18 18 17 16 15 14 13 12 12 11 11 11 10 10 9 9 9 9 9 9 9 10 10 11 nan
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nan 10 10 9 9 9 9 10 10 9 9 9 10 10 10 10 9 9 8 8 8 8 8 9 10 11 12 11 10 9 9 8 8 9 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 10 10 11 12 11 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 10 10 10 10 10 9 9 9 10 10 10 10 11 11 11 12 12 13 13 13 12 10 8 7 7 7 7 7 8 8 9 9 9 10 10 9 9 9 9 9 9 9 10 12 12 12 11 10 9 9 9 9 9 9 9 9 10 10 11 10 9 7 6 6 6 7 8 8 7 7 7 7 8 9 10 10 9 10 9 9 9 9 9 10 10 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 nan
nan 9 9 9 9 9 9 10 10 9 9 9 10 10 10 10 9 9 8 8 8 8 8 9 10 12 12 11 10 10 9 8 8 9 10 10 10 10 10 9 9 9 10 10 9 9 9 9 9 9 9 10 10 11 11 10 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 8 9 9 10 10 10 11 11 12 13 14 15 15 14 13 10 8 7 7 7 7 8 8 9 10 10 10 10 11 11 11 10 9 8 8 8 10 11 11 10 9 9 10 11 10 9 8 8 9 10 10 10 9 9 8 7 7 8 8 8 8 9 9 9 9 9 9 9 9 8 8 9 9 10 9 9 9 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 11 nan
nan 8 8 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 8 8 8 9 9 10 11 12 12 12 11 10 9 9 8 8 9 10 10 10 10 9 9 10 9 9 9 8 8 8 9 9 9 10 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 10 11 12 14 15 15 14 12 11 9 8 8 8 8 9 9 10 10 10 11 11 11 11 10 9 9 8 8 8 9 10 11 10 9 9 10 11 11 8 7 7 8 9 9 9 9 8 8 7 7 8 8 8 8 8 9 10 11 11 11 11 10 8 7 8 10 10 9 9 9 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 nan
nan 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 12 12 11 11 10 9 9 8 9 9 9 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 9 9 10 10 10 10 9 8 9 9 10 11 10 10 10 10 9 9 9 9 10 11 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 9 10 10 11 11 10 10 11 11 10 8 7 7 7 8 8 9 9 9 8 7 6 7 7 7 6 6 5 7 9 11 12 12 11 9 8 10 11 10 9 8 10 11 12 12 12 12 12 11 11 11 11 12 12 12 11 11 11 10 10 9 9 9 9 nan
nan 8 8 8 8 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 11 11 10 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 8 9 9 9 9 9 10 10 10 9 10 10 10 10 10 9 9 9 9 9 10 10 10 9 8 8 8 9 9 9 9 8 9 10 11 12 12 11 10 10 10 10 9 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 11 11 10 10 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 9 9 9 9 8 7 7 8 8 7 6 4 3 4 6 8 10 10 10 11 12 12 10 9 9 10 11 12 13 12 12 11 11 11 11 11 11 11 11 10 10 9 9 8 8 8 8 7 nan
nan 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 11 11 10 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 9 9 8 9 9 10 10 10 9 8 7 7 8 8 8 8 8 8 9 10 12 13 13 12 10 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 10 9 9 8 8 7 8 9 10 11 11 11 9 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 8 6 4 3 3 5 7 8 10 12 13 13 11 10 10 11 11 12 13 12 12 11 10 10 10 10 10 10 9 9 8 8 7 7 7 7 6 7 nan
nan 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 10 10 10 10 11 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 10 10 9 9 9 10 11 12 12 11 10 9 9 9 9 9 8 8 8 8 8 10 11 12 12 12 11 9 9 8 9 9 10 10 10 10 11 11 10 10 10 10 10 10 9 9 10 10 11 11 11 11 10 8 7 7 8 9 10 11 12 11 9 7 6 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 5 5 6 8 9 11 12 12 11 10 10 10 11 11 11 11 10 10 10 9 10 10 9 8 8 8 7 7 6 6 6 6 6 6 nan
nan 10 10 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 8 8 8 9 10 10 10 10 11 12 13 13 13 13 13 13 13 13 12 10 9 8 8 8 8 9 10 11 12 12 11 10 8 8 8 9 9 9 9 9 9 9 8 8 9 9 10 9 9 9 9 10 11 11 12 12 11 10 8 8 8 9 10 11 11 10 8 7 7 8 8 8 9 10 10 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 10 10 10 9 9 10 10 9 9 9 9 9 9 9 9 9 8 7 7 7 6 6 6 5 5 6 6 nan
nan 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 8 9 9 10 11 10 10 10 10 10 9 8 7 7 8 9 9 9 9 9 9 8 8 8 7 8 8 7 7 6 6 6 7 7 7 7 7 7 8 9 9 7 7 8 10 11 12 12 12 12 12 12 12 11 11 13 14 15 15 14 12 11 10 9 9 9 9 9 10 10 11 11 10 9 9 9 9 8 8 7 7 7 7 7 7 8 9 9 9 9 9 10 10 11 11 12 12 12 11 10 9 9 9 9 10 10 9 7 7 7 8 9 10 10 10 10 9 9 9 9 9 10 10 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 8 8 9 9 8 8 9 9 8 8 8 7 7 6 6 5 6 6 6 nan
nan 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 9 10 11 11 10 10 10 10 11 10 8 6 5 5 6 7 8 8 8 8 8 8 7 7 8 8 8 7 7 7 7 7 7 7 6 6 7 8 9 8 7 7 9 13 14 13 12 11 10 10 9 9 8 9 10 12 13 13 12 12 12 12 12 12 11 10 9 8 8 9 10 10 10 10 10 9 9 8 7 7 7 7 7 8 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 9 9 9 9 8 8 7 8 9 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 8 9 10 9 9 8 7 7 6 6 6 6 7 7 nan
nan 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 9 10 10 10 10 10 10 11 12 11 8 5 4 3 3 4 5 6 7 7 7 8 8 8 9 9 9 8 8 8 7 7 7 7 7 7 7 7 8 8 8 10 13 16 16 14 11 9 8 8 8 8 7 8 8 9 9 9 10 10 11 12 13 14 14 13 12 10 9 9 9 10 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 10 10 11 11 11 11 11 10 9 10 10 10 10 10 10 10 10 9 10 10 10 11 10 10 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 10 9 8 7 6 6 6 6 6 6 7 8 8 nan
nan 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 10 10 10 10 10 11 12 12 11 9 7 5 3 2 2 2 4 5 6 7 8 8 9 9 10 10 9 9 8 8 8 8 8 8 8 7 7 7 7 8 10 14 16 15 13 10 8 8 8 8 7 7 7 7 7 7 7 8 8 9 10 11 12 13 13 12 12 11 11 11 10 10 9 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 10 9 9 7 7 8 9 10 9 9 8 8 9 9 10 10 10 9 9 9 9 8 8 8 9 9 10 10 11 11 11 11 11 10 10 10 10 9 9 9 9 8 8 9 10 11 12 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 8 5 4 5 6 6 6 7 7 8 9 9 nan
nan 10 10 10 10 10 9 9 9 10 10 9 9 9 9 9 8 8 9 10 9 9 10 11 13 14 13 12 10 9 7 5 4 2 2 3 4 6 8 8 9 9 9 9 8 8 8 8 8 8 9 10 10 9 8 7 6 6 7 8 10 12 12 11 9 7 7 7 7 8 8 8 8 7 7 7 7 7 7 8 8 8 9 10 10 11 12 13 13 12 10 10 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 7 7 7 9 10 10 9 8 8 9 10 11 10 10 9 9 9 8 8 9 9 9 9 9 9 9 10 11 11 11 10 10 10 9 9 8 8 7 7 8 9 10 12 13 12 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 6 4 5 6 7 8 8 8 8 9 9 10 nan
nan 10 10 10 10 9 9 9 9 10 10 9 9 9 9 9 8 8 9 9 9 9 10 12 14 14 14 12 12 11 10 9 8 6 4 3 4 6 8 8 8 8 8 7 7 7 8 9 10 10 10 11 11 10 9 8 7 6 6 6 7 8 9 10 8 7 7 8 8 9 10 10 9 8 7 7 7 6 7 7 7 7 7 8 8 9 10 11 12 11 11 11 11 10 10 10 10 10 10 9 10 10 9 9 10 10 10 10 11 11 10 9 8 8 9 10 10 10 10 10 10 10 10 11 10 10 9 9 9 9 9 9 10 9 9 8 8 8 9 10 10 10 10 10 10 9 9 8 7 6 7 8 9 11 13 12 12 11 10 9 9 10 10 10 10 10 10 10 10 10 10 9 8 7 5 5 6 8 8 8 8 9 9 9 10 10 nan
nan 10 10 10 10 9 9 9 9 9 10 9 9 9 9 9 8 9 9 9 9 9 11 13 15 15 14 13 13 13 13 13 12 10 7 4 3 5 8 9 9 9 9 8 8 8 9 11 12 12 12 12 11 10 10 8 7 7 7 7 8 9 10 10 9 8 8 8 8 9 10 10 10 10 9 8 7 7 6 6 7 7 7 7 8 8 8 9 9 10 11 11 12 12 11 11 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 8 9 10 10 9 10 10 10 10 8 6 5 6 8 9 12 13 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 9 7 5 4 5 6 8 8 8 9 9 9 9 10 10 10 nan
nan 10 11 10 10 10 9 9 10 10 10 10 10 9 9 9 8 9 9 9 9 10 12 14 15 15 14 13 13 13 14 14 14 12 8 3 2 4 8 11 11 11 11 10 10 10 10 11 12 12 12 12 11 10 10 9 8 7 7 8 10 11 11 10 10 10 10 9 7 6 6 7 9 11 12 11 10 8 7 7 7 7 8 8 8 8 8 8 9 9 9 10 10 11 11 11 11 10 9 9 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 9 9 10 10 10 9 9 10 10 10 9 9 10 11 11 11 10 10 10 9 8 7 7 7 8 9 9 9 10 10 11 11 8 5 5 6 8 11 12 12 12 12 11 10 10 10 10 10 10 11 11 10 10 10 9 8 5 4 5 7 8 8 8 8 9 9 9 9 9 10 10 nan
nan 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 9 11 13 15 15 14 13 12 11 11 11 12 12 12 8 4 1 2 7 10 12 12 12 11 11 10 11 11 12 12 12 12 11 10 9 8 8 7 7 8 10 11 11 11 11 12 12 10 7 5 4 4 6 10 11 11 11 11 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 10 10 9 9 9 10 10 10 9 9 9 10 10 9 9 9 10 10 9 9 9 9 10 11 11 11 10 10 9 7 7 7 7 8 8 9 9 9 10 11 11 8 6 5 7 9 11 12 12 11 11 10 10 10 10 10 10 10 11 11 11 10 10 9 8 7 7 8 9 8 8 8 8 8 9 9 9 9 10 10 nan
nan 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 10 11 14 15 14 12 11 10 9 8 8 9 10 11 9 6 3 2 5 9 12 12 11 10 10 10 11 12 12 12 12 12 10 9 8 8 8 7 7 8 9 10 10 11 11 12 12 10 8 6 4 4 5 7 9 10 11 11 10 9 8 8 8 8 8 8 7 7 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 9 9 10 10 10 10 9 9 10 11 11 10 10 10 10 9 9 8 8 9 10 11 11 11 10 9 8 7 7 7 8 7 8 8 8 8 9 11 10 8 6 6 7 10 11 11 11 11 10 10 10 10 10 10 10 10 10 11 10 10 10 10 9 9 10 11 10 8 7 7 8 8 9 9 9 10 10 10 nan
nan 10 10 10 10 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 10 12 14 15 14 11 9 8 7 6 6 7 9 10 10 8 5 3 5 10 12 13 11 10 10 11 11 11 11 11 11 10 9 9 8 8 8 8 8 8 9 9 9 10 10 9 9 8 8 8 7 6 6 7 7 8 8 9 8 8 8 7 7 7 7 6 6 7 8 8 8 8 8 8 9 9 9 10 10 9 8 7 7 8 9 10 10 9 9 9 9 9 9 9 9 10 12 11 11 10 10 10 9 8 8 8 8 9 9 10 10 11 10 9 8 7 7 7 8 8 8 8 7 7 9 10 10 9 7 7 8 10 10 10 11 11 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 11 10 8 6 6 7 7 8 9 9 10 10 10 10 nan
nan 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 9 9 10 11 13 14 13 11 9 7 6 6 6 7 9 11 12 11 8 6 7 10 12 13 13 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 7 8 9 9 8 7 7 6 6 6 6 6 6 6 6 6 6 5 5 6 7 7 7 7 7 7 7 8 8 9 9 10 10 9 8 8 9 10 10 9 9 9 9 9 8 8 8 9 11 12 11 10 10 9 9 8 8 8 8 8 8 9 9 10 11 10 10 9 7 7 7 8 9 9 9 8 8 9 10 10 10 10 9 9 9 9 10 11 10 10 11 10 10 10 10 10 11 11 10 10 10 10 10 10 10 9 7 5 5 6 7 8 8 9 9 10 10 10 10 nan
nan 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 9 11 13 13 12 9 8 7 7 7 7 8 10 13 14 14 10 7 7 8 10 12 12 12 11 10 9 9 9 9 9 10 11 11 10 10 9 9 9 9 9 9 8 8 7 7 7 8 8 9 9 8 7 6 6 6 6 6 6 5 5 5 5 5 4 5 6 7 7 7 7 7 7 7 7 7 8 10 11 12 12 12 12 12 11 10 10 10 10 9 9 8 7 8 9 11 11 10 10 9 9 8 8 8 9 9 9 9 9 9 10 10 10 9 9 8 8 8 9 10 10 10 9 10 10 11 11 12 12 11 10 9 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 9 10 10 11 10 8 6 6 6 7 8 8 8 9 9 10 10 10 10 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 11 13 12 11 8 7 7 8 8 8 9 11 13 15 15 11 8 7 8 11 12 12 11 10 9 8 8 9 9 10 11 11 11 11 10 9 9 8 9 9 9 9 9 9 9 9 9 9 10 9 7 5 4 5 6 7 7 6 6 6 5 5 4 4 4 5 6 7 7 8 9 9 9 9 9 10 11 12 13 13 13 13 13 12 11 10 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 11 11 11 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 12 13 13 13 12 11 9 9 8 8 9 10 11 11 10 10 9 9 9 10 10 9 9 9 10 10 9 9 8 8 9 9 9 8 8 9 9 10 10 11 11 nan
nan 10 9 10 10 10 10 10 9 9 10 10 10 10 10 10 11 11 12 11 11 11 12 11 10 8 7 7 8 8 8 9 10 12 14 13 10 7 7 10 12 13 12 11 10 9 8 8 8 9 10 11 10 10 10 10 9 8 8 8 9 10 10 10 10 10 10 9 10 11 11 8 4 2 2 4 6 7 7 7 8 7 7 6 5 5 5 6 7 9 10 10 11 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 11 12 11 11 11 11 10 9 8 7 8 9 10 11 12 12 12 12 13 13 14 13 12 10 9 8 8 8 9 10 11 11 10 9 9 9 9 10 10 9 10 10 10 10 10 10 10 10 11 10 10 9 9 9 10 10 11 11 11 nan
nan 10 10 11 10 10 10 10 10 9 10 10 10 10 10 11 11 11 11 11 11 12 13 12 10 8 8 8 8 9 8 8 8 9 9 8 6 6 7 10 12 12 11 10 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 9 9 10 9 9 9 10 9 9 10 12 13 10 6 3 1 1 3 6 8 9 9 9 8 8 7 7 6 7 8 10 11 11 11 11 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 8 7 6 5 5 5 5 5 5 5 5 6 6 7 8 9 9 10 10 10 10 10 10 9 7 5 6 7 9 10 11 12 12 12 12 13 13 13 12 11 10 9 8 7 8 9 10 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 11 11 12 12 12 nan
nan 10 10 11 11 10 10 10 10 10 9 9 9 10 10 11 11 11 10 10 12 14 14 13 10 7 8 8 9 9 9 8 7 6 5 3 3 5 8 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 13 13 11 8 5 3 1 2 4 7 9 10 9 9 9 8 8 8 9 10 11 11 11 10 9 7 6 7 8 10 10 9 9 8 7 6 5 5 6 7 6 5 3 2 2 2 2 1 1 -0 -1 -0 1 3 4 6 7 7 7 7 7 7 8 8 6 5 5 6 8 9 9 10 11 11 11 12 12 12 12 12 10 10 9 8 7 8 9 10 11 11 10 9 9 9 9 10 10 10 10 10 10 10 11 10 10 11 11 11 11 12 12 13 13 13 13 13 13 nan
nan 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 10 9 9 11 14 15 13 10 7 7 8 9 9 8 8 6 4 2 1 2 6 9 10 10 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 12 12 11 9 8 6 3 2 3 6 8 9 9 9 9 9 8 9 10 10 11 10 10 9 8 8 8 10 12 13 12 12 11 9 7 5 4 3 3 3 3 3 3 3 4 4 4 3 2 2 1 0 0 1 2 3 4 5 6 7 6 6 7 7 6 6 6 7 7 7 8 10 10 11 11 11 12 12 11 11 10 10 9 8 8 8 9 9 11 11 10 10 9 9 9 9 10 10 10 10 10 10 11 10 10 10 10 10 12 13 14 15 16 15 15 14 14 nan
nan 10 10 10 10 10 10 11 11 11 10 9 9 10 10 10 10 9 8 8 9 11 13 13 10 7 7 7 8 9 8 8 6 5 1 -0 2 6 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 11 11 10 10 9 8 7 6 7 8 9 9 9 8 9 10 11 11 10 9 8 7 6 4 3 4 7 8 9 9 9 8 8 8 9 9 10 9 9 9 9 10 11 13 14 14 14 13 12 11 9 8 6 5 4 5 5 5 6 6 7 8 8 7 7 7 6 6 4 3 2 1 2 3 5 7 7 7 7 8 8 7 7 6 6 7 8 9 10 10 10 10 10 10 11 11 11 10 10 10 10 9 9 10 11 11 11 10 9 9 9 10 10 11 11 11 10 10 10 10 10 10 9 9 10 12 14 17 18 17 16 15 14 nan
nan 10 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 8 7 7 9 11 11 9 7 6 6 7 8 8 8 7 5 1 1 3 6 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 10 9 8 5 2 1 1 3 6 8 9 9 9 10 10 10 9 9 8 8 7 5 5 5 7 8 8 8 8 8 8 9 9 9 10 10 9 10 10 10 11 12 13 14 14 14 13 12 11 10 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 9 8 7 5 4 4 4 6 6 7 8 8 9 9 8 7 7 7 8 8 9 9 9 9 9 9 9 10 11 11 11 11 11 10 10 10 10 11 11 11 10 9 9 9 10 11 11 11 11 11 11 10 10 10 9 8 8 9 10 13 16 17 17 16 15 14 nan
nan 10 10 10 10 10 10 10 10 11 11 10 10 10 9 9 8 8 8 7 6 7 8 10 9 8 6 6 7 8 8 8 8 5 1 1 3 6 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 9 6 2 -1 -3 -2 2 6 8 9 9 10 10 9 8 8 8 8 7 6 6 7 8 9 9 8 9 9 9 9 9 10 10 10 10 10 10 9 9 9 10 12 13 14 14 14 13 13 12 11 11 11 10 10 10 10 10 10 11 12 12 12 12 11 11 10 9 7 6 5 6 6 7 8 9 10 10 8 7 7 7 8 8 9 8 8 9 9 9 10 11 12 12 13 12 11 10 9 9 9 10 10 11 10 9 9 10 11 11 11 11 11 11 11 10 10 9 9 9 9 8 9 11 13 15 15 14 14 13 nan
nan 10 10 10 10 10 10 9 9 10 10 10 10 9 9 9 9 8 8 7 6 6 7 9 10 9 8 6 6 7 8 8 9 6 2 1 1 4 7 9 9 9 9 8 8 8 9 10 10 11 11 10 10 10 10 11 14 15 13 9 4 -0 -2 -0 3 5 7 8 9 10 9 8 7 7 7 7 6 5 7 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 9 8 8 8 9 11 13 14 15 16 16 15 15 14 14 13 12 12 12 12 13 13 14 15 14 13 12 11 11 10 9 8 7 7 8 8 9 10 10 9 8 8 7 8 9 9 9 9 9 9 9 10 12 13 13 13 14 13 11 10 8 8 9 9 10 10 10 9 9 10 10 10 11 11 12 12 11 11 10 9 9 9 9 8 8 10 11 12 12 12 12 12 nan
nan 10 10 10 10 10 9 9 9 8 9 9 9 9 9 9 9 9 8 8 7 7 8 10 12 12 10 8 7 6 7 8 9 7 3 0 -1 2 6 8 9 8 8 8 8 8 9 9 10 11 11 11 11 10 10 11 15 18 19 17 13 7 2 0 0 2 3 4 6 7 8 7 7 7 7 7 6 5 6 9 10 11 11 10 10 8 8 8 8 8 9 10 11 11 10 9 8 8 8 10 11 12 14 15 15 15 15 15 15 15 15 15 15 15 15 16 16 15 14 13 12 11 11 11 12 12 12 11 11 10 10 10 9 9 8 8 8 9 9 9 9 10 10 10 10 11 12 13 14 14 14 13 11 8 7 8 9 10 10 10 10 10 9 9 9 10 10 11 11 11 11 11 10 10 9 10 9 9 9 9 9 9 9 10 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 1 0 0 0 1 2 1 1 1 1 1 1 2 3 4 2 0 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 1 3 6 7 7 15 27 38 44 48 55 64 71 73 67 61 49 38 35 37 43 56 73 96 126 146 145 141 149 162 153 155 184 222 264 304 330 344 462 638 808 928 1025 1166 1306 1212 993 947 1160 1345 1244 934 666 530 416 288 176 156 172 178 170 156 149 103 53 32 20 9 2 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 2 3 6 9 15 25 33 30 30 52 88
0 1 0 0 0 0 1 0 0 0 1 1 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 1 4 7 10 11 13 21 33 41 45 52 61 70 72 72 68 57 48 42 38 36 39 45 58 70 78 83 86 88 86 98 108 134 171 214 251 264 288 458 671 860 980 1053 1136 1236 1167 996 906 1010 1176 1174 958 719 559 449 355 241 201 227 254 248 242 210 129 74 47 30 15 5 5 5 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 1 3 5 7 8 9 6 10 25 47
0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 1 1 1 4 6 8 11 11 12 17 26 34 42 51 61 71 75 77 73 65 60 56 45 39 35 35 40 45 51 59 58 55 61 71 82 98 127 164 204 217 322 495 680 844 953 1001 1030 1079 1053 930 806 862 1047 1146 1027 802 679 575 473 353 275 286 326 287 303 230 140 86 63 46 29 22 20 16 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 1 1 1 0 3 11 21
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 0 0 0 0 0 0 0 1 1 2 4 5 4 7 8 10 15 20 26 38 54 62 70 76 78 79 79 76 63 53 46 40 37 38 40 44 57 57 54 58 67 75 86 104 126 156 194 295 460 630 757 843 905 916 921 909 837 787 861 1050 1171 1067 897 788 693 584 471 385 362 383 393 373 255 154 106 88 67 49 42 37 31 22 12 8 6 4 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 2 4 8
0 0 1 2 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 0 0 0 0 0 0 0 0 0 0 0 1 1 1 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 1 0 0 2 2 4 5 7 11 16 22 41 57 65 71 73 77 86 93 90 75 64 53 45 43 45 50 56 65 66 65 65 71 77 83 94 105 124 159 269 417 549 656 743 801 793 810 833 843 885 993 1159 1177 1047 919 822 750 685 616 556 522 446 363 273 212 173 144 134 110 84 67 57 49 41 32 26 18 11 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 2 2
0 0 1 3 4 3 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 1 2 2 2 1 0 0 0 0 2 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 1 1 2 3 3 5 11 26 34 49 60 67 71 78 87 95 92 90 81 63 50 50 54 61 69 75 77 77 79 82 81 83 86 90 100 123 205 344 476 587 668 713 717 717 771 886 988 1087 1218 1143 1000 890 830 788 756 725 690 631 511 378 276 244 228 208 190 165 136 113 95 80 72 58 40 20 9 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 1 1 1
0 0 0 2 4 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 1 1 1 2 3 8 8 7 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 1 1 1 6 18 30 40 48 57 69 78 85 92 96 100 92 75 63 63 65 72 77 79 82 83 83 86 84 78 68 69 80 104 161 264 383 512 606 652 651 623 614 673 819 968 1061 999 887 798 732 684 705 708 680 612 528 443 369 339 313 289 259 233 206 177 152 131 110 86 61 41 26 15 8 3 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
0 0 0 1 2 3 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 1 1 1 0 0 1 4 4 3 5 8 11 11 11 9 6 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 4 11 20 29 36 44 57 67 79 87 96 102 101 94 87 81 80 85 88 87 85 83 81 81 77 68 59 62 73 87 116 168 238 377 500 571 577 535 497 525 640 718 776 791 777 731 656 593 594 610 588 547 511 469 431 402 382 362 334 308 284 252 215 176 147 124 106 91 75 62 43 16 9 5 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1
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