Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 8 8 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 8 7 7 8 8 7 6 6 6 6 8 9 9 8 7 7 7 7 7 7 6 6 7 7 8 8 8 8 8 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 10 11 11 10 8 6 5 5 6 7 8 9 9 10 11 11 12 12 11 9 7 5 5 5 6 7 8 8 8 8 9 10 11 11 11 9 7 6 5 5 5 7 9 12 15 17 21 25 30 33 34 32 28 23 16 11 7 4 3 3 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 6 nan
nan 7 7 8 8 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 8 8 8 9 9 9 8 8 7 7 7 7 7 7 6 7 7 8 8 8 8 7 6 6 6 6 7 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 10 9 7 6 5 6 7 7 7 7 8 9 10 12 13 13 12 10 8 6 5 5 6 7 7 7 8 8 8 9 10 11 11 9 7 6 4 4 4 5 7 10 14 17 22 28 34 39 42 40 33 26 18 13 8 4 3 3 3 4 4 4 3 4 5 5 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 6 6 6 6 6 7 7 7 7 7 nan
nan 8 7 7 8 8 8 8 8 8 7 7 6 7 8 8 8 8 8 8 8 8 7 7 7 8 8 9 10 10 10 9 8 8 9 9 10 10 10 10 9 8 7 7 7 7 7 7 7 7 7 8 8 9 8 7 7 6 6 6 7 7 8 8 7 7 7 8 9 10 9 8 7 7 6 6 7 7 8 7 7 7 7 7 8 8 8 7 7 7 8 8 7 6 6 6 8 10 12 14 14 13 11 9 7 6 6 6 7 7 7 8 8 8 9 10 11 10 9 8 6 4 4 3 4 6 8 12 16 22 29 38 45 47 44 36 28 20 14 8 5 4 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 4 4 4 4 5 5 5 5 5 6 6 6 7 7 8 8 8 8 nan
nan 8 7 7 8 8 8 8 8 8 8 7 6 7 7 7 7 7 7 7 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 7 7 8 8 8 9 9 8 8 6 6 6 6 7 7 7 7 7 6 6 7 8 8 8 8 8 9 8 6 5 5 6 7 9 12 14 14 13 12 10 8 7 7 7 7 7 7 7 7 7 8 9 10 10 9 7 6 5 4 4 4 6 7 10 14 20 27 36 44 46 43 36 28 21 13 7 5 4 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 4 4 4 4 4 5 5 5 5 5 6 6 7 7 8 8 8 8 nan
nan 8 7 7 8 9 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 7 7 7 8 8 8 7 7 6 6 6 6 7 7 7 6 7 8 8 9 9 9 9 9 8 6 5 5 6 7 9 11 12 13 13 12 11 10 9 8 7 7 7 7 7 7 7 7 8 9 9 9 8 7 6 5 5 5 6 7 10 12 17 23 30 36 38 36 33 26 19 12 7 5 4 4 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 4 4 4 4 5 5 5 5 5 6 6 6 7 7 8 8 8 nan
nan 7 6 6 8 8 8 8 8 8 8 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 8 8 7 7 7 7 6 6 6 6 6 7 7 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 7 8 8 8 8 7 7 6 5 6 7 7 7 7 7 8 8 8 9 10 10 9 8 7 7 7 7 8 9 10 11 12 12 12 12 11 10 9 8 8 7 7 7 7 7 7 7 8 8 8 8 7 6 6 5 6 6 7 9 11 14 18 23 26 28 28 25 20 15 10 6 5 4 4 4 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 4 4 4 4 5 5 5 5 6 6 6 7 7 7 7 7 nan
nan 7 6 6 7 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 8 8 7 6 6 6 6 6 7 8 8 7 7 7 7 6 6 6 6 6 6 6 7 8 9 9 9 8 7 7 7 7 7 7 8 8 9 9 9 8 8 8 7 7 7 8 9 9 9 8 8 7 7 6 6 7 7 7 7 7 7 7 8 9 9 10 10 10 9 9 9 8 8 9 9 10 11 12 12 13 13 12 11 9 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 6 6 6 7 8 10 12 14 17 19 19 19 16 13 10 7 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 7 7 7 nan
nan 7 7 6 6 7 7 8 8 8 8 7 8 8 9 9 9 9 8 8 9 8 8 8 8 7 6 5 5 5 5 5 5 6 6 7 7 7 7 6 6 5 5 6 5 6 7 8 8 9 9 8 8 7 7 7 7 7 8 8 8 9 9 8 8 8 8 7 7 8 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 9 11 11 11 11 10 10 9 8 9 9 10 11 12 13 14 13 11 10 9 8 7 7 7 7 6 6 6 6 7 8 8 8 7 7 6 6 7 7 9 10 11 13 13 14 13 11 9 7 6 5 4 4 4 4 4 4 4 3 3 4 4 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 nan
nan 8 7 6 5 6 7 8 8 7 7 6 6 6 7 8 8 9 9 9 9 8 8 7 7 7 6 5 5 4 4 4 5 5 5 6 7 8 7 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 7 6 7 8 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 9 10 11 11 11 11 10 10 9 9 10 10 10 11 12 13 13 12 10 9 8 7 7 7 7 6 6 5 6 6 7 8 8 8 8 7 7 7 8 8 9 10 11 11 11 10 9 7 6 5 5 5 5 5 5 4 4 3 3 3 4 4 4 4 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 6 6 6 nan
nan 8 7 6 5 5 6 7 7 6 6 5 6 6 6 6 7 8 9 9 8 8 7 7 7 7 7 6 6 5 5 5 6 6 6 6 7 8 7 7 6 6 6 6 6 6 6 6 6 6 6 7 8 9 10 9 8 8 8 8 7 7 8 8 9 9 9 8 7 6 6 8 9 9 8 8 8 8 7 7 7 6 6 7 7 7 7 7 8 8 8 9 9 9 10 10 10 10 10 11 11 11 11 12 12 12 12 11 9 8 8 8 8 7 7 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 9 10 10 10 10 9 9 8 7 6 6 6 6 5 4 4 3 3 3 3 3 3 4 5 5 6 6 6 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 6 nan
nan 7 6 6 5 5 6 6 6 6 5 5 6 6 5 6 7 8 9 9 8 8 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 6 7 7 7 6 6 6 5 5 4 5 7 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 8 7 6 7 8 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 7 7 8 9 10 11 11 11 12 13 13 12 12 13 13 12 11 10 10 10 10 10 9 8 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 9 10 10 11 11 11 11 10 9 9 8 8 7 6 5 4 4 4 4 3 3 4 4 5 6 6 6 6 6 6 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 nan
nan 6 6 6 5 5 5 6 6 6 6 6 7 7 7 7 8 9 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 5 5 4 5 6 6 6 6 7 8 8 8 7 7 7 8 8 8 9 9 9 8 8 7 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 7 7 7 7 7 8 9 9 10 10 11 12 13 15 15 14 14 15 15 14 13 13 12 12 12 12 11 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 11 12 13 13 13 12 11 11 11 10 9 7 6 6 5 5 4 4 5 5 6 6 6 6 7 7 6 6 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 nan
nan 6 7 7 6 6 5 6 6 7 7 7 7 8 8 8 8 9 9 9 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 7 7 7 7 7 6 6 6 7 7 6 5 5 6 8 8 7 7 7 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 9 8 7 7 7 7 7 7 7 8 7 7 7 7 8 9 9 9 9 9 9 10 12 14 15 15 16 17 18 17 17 17 16 15 15 14 12 11 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 11 12 13 13 13 14 14 13 13 12 11 9 8 7 7 6 5 6 6 6 7 7 7 7 7 7 7 6 6 6 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 nan
nan 6 6 7 7 7 6 6 7 7 8 8 8 9 9 9 9 10 10 9 8 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 8 7 7 8 8 8 7 7 7 8 8 9 9 9 9 9 8 7 6 6 7 7 8 8 8 8 8 8 8 8 7 8 8 9 9 9 8 9 9 10 10 9 8 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 9 11 13 15 17 19 20 20 20 20 19 18 17 15 14 12 11 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 11 12 12 13 14 14 13 13 12 11 10 9 8 8 8 8 8 8 8 7 7 8 8 8 7 7 7 7 6 6 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 nan
nan 7 6 6 7 7 7 7 7 8 8 9 10 10 10 10 11 11 10 10 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 6 6 7 8 10 11 11 11 11 10 9 8 8 7 7 8 8 8 8 8 9 9 9 8 7 7 8 8 9 9 9 9 10 9 9 9 8 7 7 7 8 7 7 6 6 7 7 8 8 8 9 9 9 8 8 8 7 7 8 10 14 16 18 19 20 20 20 19 18 17 16 14 13 12 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 11 11 12 12 12 12 12 12 11 11 11 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 nan
nan 10 9 8 7 8 8 9 9 9 10 10 11 12 12 12 12 12 11 11 12 11 11 11 10 10 9 9 9 9 9 9 8 8 9 9 9 9 9 8 7 5 5 6 8 10 11 12 13 12 12 11 10 9 8 8 8 8 8 8 8 9 9 9 9 8 7 7 8 8 9 10 10 10 10 9 8 7 7 7 8 8 8 7 7 7 7 8 9 8 8 9 9 9 9 9 9 9 7 5 5 8 12 14 15 16 16 16 16 15 15 15 15 14 13 13 13 12 12 12 12 12 12 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 11 10 10 9 9 9 9 9 8 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 nan
nan 13 12 11 10 9 10 11 11 11 12 12 12 12 12 13 12 12 12 12 12 12 11 10 10 9 8 8 9 9 9 9 8 8 8 9 9 10 10 8 6 6 7 9 10 11 12 12 13 13 12 11 9 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 8 9 10 10 10 10 10 8 7 6 6 7 7 8 8 7 7 7 8 9 9 9 9 9 9 10 10 10 10 9 8 6 4 5 8 12 13 13 12 12 11 12 12 13 14 14 14 14 14 14 13 13 14 14 14 14 14 14 13 12 12 11 11 11 10 11 11 10 10 10 9 9 9 9 10 10 11 11 12 13 13 14 14 15 14 14 13 12 11 10 10 10 10 10 9 8 7 7 7 7 7 6 6 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 nan
nan 14 14 13 12 11 11 12 12 13 13 12 11 10 10 11 11 11 11 11 10 10 10 10 9 9 8 9 9 10 11 11 10 9 8 8 8 9 10 9 8 8 10 11 12 12 12 12 11 11 10 8 7 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 8 9 10 10 10 10 9 8 6 6 6 7 7 8 8 8 8 9 9 10 10 10 10 10 10 10 11 11 10 10 8 6 4 3 5 8 9 10 9 9 9 10 11 13 14 14 15 16 15 15 15 15 16 17 18 18 18 18 17 16 16 15 14 14 13 13 13 12 12 12 11 10 9 8 8 9 10 11 11 13 14 15 16 16 16 16 15 14 13 12 11 10 11 10 9 9 8 7 7 7 7 7 7 7 6 7 7 6 6 5 5 5 5 5 5 5 5 5 nan
nan 13 14 14 13 12 12 12 12 12 12 11 9 8 9 9 10 11 10 9 9 9 9 9 9 9 9 9 10 10 11 12 12 10 9 8 8 8 9 9 8 9 11 11 12 11 10 9 8 8 7 6 6 5 6 6 7 7 8 8 8 9 9 9 9 8 8 8 9 9 10 10 9 9 9 8 7 7 7 8 8 8 8 9 9 10 10 10 10 10 11 10 10 10 11 11 11 10 9 7 5 3 3 4 5 6 6 6 7 9 12 14 15 15 16 16 16 16 16 17 18 19 20 20 20 20 20 19 19 18 17 17 16 16 15 15 14 14 13 12 11 9 8 9 9 10 11 12 13 15 15 16 17 17 16 15 14 13 12 11 11 11 10 9 8 8 7 7 7 7 7 8 8 8 8 7 7 6 6 5 5 5 5 5 5 5 nan
nan 12 14 14 14 13 12 11 11 11 10 9 8 7 8 9 10 10 10 9 9 8 8 8 8 8 8 9 9 10 10 9 9 9 8 8 8 9 9 8 8 9 10 10 10 9 8 6 6 6 6 5 5 6 6 6 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 8 8 8 8 9 9 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 6 3 2 2 3 2 2 3 6 10 14 17 16 15 15 15 14 15 15 16 17 17 18 18 18 18 18 18 17 16 16 16 17 16 15 15 15 15 14 12 10 10 9 10 10 11 11 12 13 14 15 16 17 17 16 15 14 13 12 12 11 10 9 8 8 7 6 6 7 7 8 9 9 9 9 8 7 7 6 6 6 6 5 5 5 nan
nan 12 13 13 14 13 11 10 9 8 7 7 7 7 9 10 11 11 10 9 9 8 8 8 8 8 8 8 9 9 8 7 6 6 6 7 9 9 8 7 7 8 8 8 8 7 7 6 6 6 6 6 6 7 7 7 8 8 8 8 7 6 6 6 7 8 9 10 10 10 9 8 8 7 7 8 9 10 11 11 11 11 10 10 10 11 11 10 9 9 9 9 9 9 9 10 10 9 8 8 9 9 7 5 4 3 3 2 1 3 6 12 16 15 13 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 14 14 13 14 14 14 13 12 11 10 10 10 11 11 11 12 12 13 14 15 16 16 16 15 14 14 13 12 11 10 9 8 7 7 6 6 7 8 8 9 9 9 9 9 8 8 7 7 7 7 6 6 6 nan
nan 12 12 12 12 11 10 9 8 6 6 7 7 8 9 11 12 12 10 10 9 9 9 8 8 8 8 8 8 8 8 7 6 6 7 7 8 7 6 5 6 7 8 8 8 8 8 8 7 7 7 8 9 9 9 8 8 8 7 6 5 4 5 6 8 9 10 10 10 10 9 8 7 7 7 8 8 9 10 11 12 12 12 12 11 11 10 9 8 8 9 8 8 8 9 10 10 8 7 9 10 10 10 9 7 7 6 5 3 1 3 7 11 11 10 8 7 7 6 6 6 6 7 6 6 6 7 7 7 8 8 9 9 10 10 10 10 11 12 12 11 10 10 10 10 10 11 11 11 11 12 13 14 14 15 15 15 14 14 13 12 11 10 9 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 8 8 7 7 7 7 7 nan
nan 11 11 12 11 11 9 8 7 6 7 7 7 7 9 12 13 12 11 10 10 10 10 9 8 8 8 8 8 7 7 7 8 8 8 7 6 4 3 4 6 8 10 10 10 10 10 9 8 8 8 9 10 10 9 8 7 6 6 5 5 6 7 8 9 9 9 9 9 9 8 7 7 8 8 8 7 8 8 10 11 12 13 12 11 10 9 8 7 7 8 8 8 9 9 10 9 8 8 9 10 10 10 10 10 9 8 7 5 2 -0 1 3 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 7 7 8 8 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 13 14 14 14 13 13 13 12 11 10 10 9 9 8 8 8 8 8 9 9 9 9 10 10 9 9 8 8 8 8 8 8 8 nan
nan 10 11 11 11 11 10 9 8 7 6 6 6 7 9 11 12 12 11 10 10 10 9 8 8 8 8 8 8 7 7 8 9 9 8 6 5 4 4 6 8 10 10 10 10 10 9 8 8 8 9 10 10 9 8 7 6 6 6 7 8 9 10 10 9 8 8 8 8 8 7 7 8 9 9 8 7 7 7 9 10 12 12 11 10 9 7 6 6 7 8 8 9 9 10 9 8 8 9 9 9 10 10 11 10 10 9 8 6 3 -1 -4 -5 -3 -0 2 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 10 11 11 12 12 12 12 12 12 12 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 9 9 9 8 8 8 8 8 8 nan
nan 10 10 11 11 11 10 9 8 7 6 6 7 7 8 9 11 11 10 9 9 9 8 7 7 8 8 8 8 8 8 9 8 7 7 6 5 6 8 9 9 9 9 9 9 8 7 7 8 9 10 10 9 8 7 6 7 8 9 10 10 10 10 10 10 9 8 7 7 7 7 8 9 9 9 9 8 8 8 9 10 11 11 10 9 7 6 6 6 7 8 9 9 10 10 9 8 8 9 9 9 9 10 10 10 10 9 9 8 5 1 -3 -7 -8 -6 -3 -1 1 2 2 2 2 2 2 3 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 7 7 8 8 8 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 8 8 8 8 8 nan
nan 9 10 11 12 12 11 9 8 7 6 6 7 8 7 7 9 10 10 9 8 8 7 7 7 7 8 9 10 9 9 8 7 7 7 7 8 9 10 10 9 8 8 9 9 8 8 9 10 11 10 9 7 6 6 7 9 11 12 12 11 11 11 12 12 10 9 8 7 7 8 9 9 9 9 10 9 9 10 10 11 10 10 9 8 6 6 6 6 7 7 8 9 10 9 9 8 9 9 9 9 9 9 10 10 10 10 9 9 8 5 2 -3 -6 -8 -8 -6 -3 -0 0 1 0 0 1 2 3 4 4 5 5 5 6 6 6 6 6 6 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 7 8 8 9 10 10 10 10 10 11 11 12 12 12 11 10 10 9 9 9 10 10 10 9 9 9 8 8 8 8 nan
nan 9 9 10 11 12 12 10 8 8 7 7 7 7 6 6 8 9 9 8 8 8 7 6 6 7 9 11 11 10 8 7 7 8 8 9 10 11 11 10 9 8 9 10 9 9 9 10 10 10 7 6 5 6 7 8 10 12 13 12 12 13 13 14 12 11 10 9 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 9 8 7 7 6 7 7 7 8 8 9 8 8 8 8 9 8 8 8 9 9 10 10 10 10 10 10 9 6 3 -0 -3 -6 -6 -5 -3 -1 -1 -2 -2 -1 1 2 4 4 4 4 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 6 6 7 7 7 8 8 9 10 12 13 14 13 12 12 11 11 11 10 10 10 10 9 9 9 9 9 9 8 nan
nan 9 9 9 10 11 12 11 9 8 7 7 7 7 6 7 8 9 9 9 8 8 7 6 6 8 10 11 11 9 9 9 9 9 9 10 11 12 12 11 9 8 8 8 7 7 8 8 7 6 4 5 6 7 9 9 10 11 12 11 12 12 12 11 10 10 10 10 10 10 10 9 10 11 11 10 10 10 11 11 11 11 10 9 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 10 10 10 11 11 10 9 8 6 4 1 -2 -3 -2 -1 -1 -2 -4 -4 -2 1 4 5 4 4 5 5 6 6 7 7 7 7 7 7 8 8 8 8 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 8 9 11 13 14 14 14 13 13 12 12 11 11 11 10 10 10 10 10 9 9 8 nan
nan 9 9 8 8 10 11 10 9 9 8 7 7 6 6 7 8 9 9 9 9 8 7 7 7 8 9 10 11 11 11 11 11 11 10 11 12 12 12 11 9 7 6 5 5 6 7 7 6 5 4 6 8 9 9 9 10 10 10 10 10 9 8 7 7 8 9 9 9 9 9 9 11 13 13 11 9 9 10 11 10 11 10 10 9 8 8 8 8 8 7 6 6 5 5 6 7 8 8 9 10 9 9 9 9 9 10 10 11 11 11 10 9 8 7 6 4 3 2 2 2 0 -3 -5 -5 -1 3 5 4 4 4 5 5 6 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 7 6 6 6 6 6 5 4 5 6 7 9 12 13 14 14 13 13 13 12 12 12 12 12 11 11 11 11 10 9 9 nan
nan 9 9 8 8 8 9 9 9 9 8 8 7 7 7 8 8 9 10 10 9 8 8 7 8 8 8 9 10 11 12 12 11 11 11 12 12 12 11 10 8 7 6 6 7 8 8 9 8 7 7 7 8 9 9 9 9 9 9 9 9 8 7 6 7 8 8 8 8 7 6 7 9 12 13 11 9 9 10 10 10 10 10 10 8 7 7 8 8 8 7 6 5 5 5 5 6 7 8 10 11 10 9 9 8 8 9 10 10 10 10 10 9 9 8 8 7 7 6 6 5 4 0 -4 -5 -1 3 4 4 4 4 4 5 5 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 7 7 7 7 6 5 5 5 6 8 10 11 12 12 12 12 11 11 11 12 12 12 13 13 13 12 11 10 9 nan
nan 8 8 7 7 7 7 8 8 9 9 8 7 7 7 7 8 9 10 10 9 9 9 9 8 7 7 8 9 10 10 10 10 10 11 12 12 11 11 10 9 9 9 10 9 9 10 10 10 9 7 7 8 8 9 9 10 10 10 10 10 9 8 7 6 6 6 6 6 5 4 5 7 9 10 10 9 9 9 9 9 9 10 9 8 7 7 7 8 9 9 8 7 6 6 6 6 6 7 9 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 7 4 1 -2 -2 1 3 3 3 3 3 3 3 5 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 7 6 6 6 7 8 9 10 10 10 10 9 9 9 10 11 11 12 13 13 12 12 11 11 nan
nan 7 7 6 6 7 7 7 8 8 8 8 7 7 7 7 7 8 10 11 10 9 9 10 9 7 7 8 9 9 8 8 8 9 10 10 11 11 12 11 11 11 11 10 10 9 10 11 10 9 7 7 7 8 9 10 10 10 11 11 11 10 9 8 7 5 4 4 4 3 3 4 4 6 7 7 8 9 9 9 9 9 9 9 9 8 7 7 8 9 10 9 8 7 7 7 6 6 7 8 8 8 8 8 7 7 7 8 8 8 8 8 9 10 10 9 8 8 8 8 6 3 -1 -2 0 3 3 3 3 3 3 3 3 4 6 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 8 8 8 8 8 9 9 9 9 8 8 8 8 9 10 10 11 12 12 13 14 13 nan
nan 7 6 6 6 7 7 7 6 7 7 8 8 8 8 7 7 8 10 11 10 10 10 10 9 7 7 7 8 8 8 7 7 8 9 9 10 11 11 11 11 11 11 10 10 10 10 10 10 8 7 7 8 9 10 10 10 10 10 11 11 11 10 9 8 6 5 4 3 3 4 4 4 5 5 6 6 8 8 9 9 9 9 9 9 8 7 7 8 10 10 10 9 8 8 8 7 7 7 7 7 8 7 7 7 8 7 7 7 7 7 8 9 10 10 10 9 8 8 7 6 2 -1 -0 3 5 4 3 3 4 4 3 4 5 7 9 10 11 11 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 11 11 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 12 15 16 17 nan
nan 6 6 7 7 7 8 7 6 6 6 7 8 8 8 7 7 8 10 11 11 11 11 10 9 8 7 7 7 7 7 7 7 7 8 9 10 10 10 10 12 12 11 11 10 9 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 8 7 6 6 6 6 6 6 6 7 6 6 6 6 6 7 9 10 10 10 10 8 7 7 7 8 9 10 10 9 8 8 8 7 7 7 7 7 8 7 7 7 8 8 7 7 7 7 7 8 9 10 10 10 9 8 7 5 3 2 4 7 6 4 3 4 5 4 4 5 7 9 12 13 14 14 14 13 11 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 9 9 9 9 10 10 9 9 9 8 8 7 7 7 11 14 16 18 nan
nan 7 7 7 8 8 8 8 7 6 6 6 7 7 7 7 7 8 10 11 11 11 10 10 10 9 8 7 7 7 8 7 6 7 8 9 9 9 9 10 12 13 12 11 9 7 6 7 9 10 10 10 10 10 10 10 10 10 9 8 7 7 6 5 5 5 7 9 10 9 8 8 8 9 8 7 6 6 7 8 10 11 11 9 7 7 7 7 8 9 9 9 9 8 8 8 7 7 6 6 7 8 8 7 7 7 8 8 7 7 7 7 8 8 9 10 10 9 8 7 6 5 6 7 9 7 5 5 5 4 4 5 7 10 13 16 18 19 19 18 16 14 12 11 10 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 8 6 6 8 10 12 15 nan
nan 8 8 8 8 9 9 9 9 8 7 6 6 6 6 7 8 9 10 11 11 10 10 10 10 9 8 7 7 8 8 8 7 7 8 9 9 9 8 9 11 12 12 11 9 8 7 8 10 11 11 10 9 9 10 11 11 11 10 9 8 7 7 6 5 6 9 12 12 10 8 8 8 10 9 8 7 6 7 8 10 11 11 9 8 8 8 8 9 9 8 8 8 8 8 8 8 7 6 5 6 7 8 8 8 8 8 9 9 8 7 7 8 8 8 9 9 10 9 8 7 7 8 9 9 8 7 6 5 3 2 3 8 13 17 21 24 25 25 23 19 17 14 13 11 10 10 10 9 9 9 10 10 10 10 11 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 8 6 6 6 8 11 nan
nan 8 9 8 9 9 9 10 10 10 10 9 8 7 7 8 9 10 11 11 10 10 10 9 9 9 8 7 7 8 9 9 9 8 8 9 9 9 9 9 10 10 11 10 9 9 9 11 12 11 10 9 8 9 9 10 11 12 12 12 11 11 9 8 7 8 12 13 12 9 7 7 8 9 8 8 7 7 8 9 10 11 11 10 9 9 9 9 10 10 9 9 9 8 8 8 8 7 6 5 6 7 8 8 8 8 8 9 9 8 7 7 7 7 7 8 8 9 9 8 7 8 9 9 9 8 8 7 5 2 -0 2 9 15 20 24 27 29 30 28 24 21 18 15 14 12 11 10 10 10 10 11 12 12 13 13 13 13 13 12 11 10 10 10 11 11 12 12 12 12 12 11 11 10 10 10 9 10 10 10 9 8 7 6 6 7 nan
nan 9 9 9 9 9 9 10 10 11 11 11 10 9 8 9 9 10 11 11 10 10 9 9 9 8 8 7 7 8 9 9 10 9 9 9 10 10 9 9 9 9 10 10 9 9 10 11 11 9 8 7 7 8 9 9 10 11 12 12 12 12 12 10 9 10 13 12 10 8 7 7 7 7 7 8 8 8 8 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 8 8 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 8 9 9 8 7 8 9 9 9 8 7 7 4 1 -2 2 10 15 19 23 25 29 32 33 31 28 24 21 18 16 14 12 12 13 14 15 16 17 17 15 14 12 11 10 9 9 9 10 12 14 16 17 17 17 16 15 13 12 11 10 10 10 10 10 10 10 9 8 7 6 nan
nan 9 9 9 9 9 9 9 10 10 11 11 10 8 8 8 9 9 10 10 10 9 9 9 9 8 8 8 8 8 8 9 10 10 9 9 10 10 9 9 9 10 10 10 10 10 10 9 8 7 6 6 7 8 8 8 8 10 10 11 11 12 12 12 11 12 12 11 9 7 7 8 7 7 7 8 8 7 8 8 8 8 8 8 9 10 10 9 9 9 9 10 10 10 10 10 9 9 9 8 8 7 7 6 5 5 5 6 6 5 5 6 7 8 8 8 8 9 9 8 8 8 8 8 7 6 5 5 4 2 2 6 11 15 17 18 21 25 31 34 35 34 32 29 27 25 23 21 20 21 22 22 21 19 18 14 11 9 8 6 6 7 8 10 15 20 25 28 27 25 23 21 18 16 14 13 12 11 11 11 11 10 10 9 8 7 nan
nan 8 8 9 9 9 9 9 9 9 9 9 8 7 6 6 7 8 9 10 10 9 9 9 9 8 8 9 9 8 7 8 9 10 10 9 9 9 9 10 10 11 10 10 11 11 10 9 8 7 7 7 8 9 9 8 8 8 8 9 9 10 11 12 13 13 12 10 8 7 8 9 8 8 8 8 6 5 5 6 7 7 7 7 8 9 9 8 8 8 8 9 9 10 9 9 9 10 9 9 8 8 7 6 6 5 5 5 5 5 4 5 7 8 9 9 9 9 8 8 8 8 8 7 5 4 3 3 3 3 7 11 14 14 14 14 16 19 24 30 34 35 36 37 37 37 36 34 32 30 28 26 22 18 13 10 8 6 5 5 5 5 7 11 18 25 32 38 37 33 30 28 24 21 18 16 15 13 13 12 11 11 11 10 10 9 nan
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nan 9 9 8 7 6 7 8 9 9 9 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 9 10 10 10 10 10 10 10 9 9 10 10 10 10 10 9 9 9 9 9 10 11 11 11 11 10 10 10 9 8 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 9 9 9 10 10 10 10 11 11 11 11 12 12 13 13 13 11 8 7 6 7 7 7 7 7 8 9 10 9 9 8 8 9 9 10 10 10 11 12 12 10 8 7 7 9 9 9 9 9 9 9 9 9 9 8 6 5 5 5 5 6 7 7 6 5 5 5 6 8 9 9 10 10 11 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 nan
nan 9 8 7 6 5 6 7 9 10 10 9 9 9 9 10 10 9 9 9 9 8 8 8 8 9 9 10 10 10 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 10 11 11 11 11 10 10 10 10 9 9 8 9 9 9 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 11 10 10 10 11 11 12 13 14 14 14 13 10 8 7 7 7 7 7 7 8 9 10 9 9 9 9 9 9 8 8 8 9 11 12 12 9 7 6 7 8 9 8 7 8 9 10 10 9 9 7 6 6 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 9 10 11 10 9 9 10 10 11 11 12 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 8 8 nan
nan 7 7 7 6 6 6 7 8 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 11 11 10 10 9 9 9 10 11 12 14 14 13 12 10 9 8 9 9 8 7 7 8 10 11 9 9 9 9 9 8 8 7 7 9 11 13 13 11 8 7 8 9 8 6 5 6 8 9 10 10 9 8 7 7 7 8 9 8 8 8 9 11 12 11 10 10 8 6 5 8 11 12 10 9 9 10 11 12 12 12 11 11 11 11 11 11 11 11 10 10 9 9 9 8 8 8 8 nan
nan 7 7 7 8 7 7 7 8 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 11 11 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 7 8 8 8 9 9 10 10 10 10 10 9 10 10 10 10 10 9 9 9 9 10 11 11 12 12 11 10 9 9 10 11 10 9 8 8 10 11 10 10 10 10 9 8 8 7 7 9 10 12 13 12 11 10 11 10 8 6 5 6 7 8 9 9 9 9 8 7 7 7 8 8 7 6 6 7 9 10 11 11 9 7 7 10 12 12 10 9 10 11 12 12 13 12 12 11 11 10 10 10 10 10 9 9 8 8 7 7 7 7 7 nan
nan 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 9 9 9 10 9 9 10 10 10 9 9 10 10 10 10 10 10 10 10 9 9 10 10 11 11 11 11 10 11 11 11 11 10 10 10 10 10 10 11 11 10 9 8 8 8 8 9 10 10 11 11 11 11 10 8 7 6 7 7 8 8 9 9 9 8 7 7 7 8 8 7 5 3 2 1 3 5 7 7 7 9 12 14 13 10 10 11 11 12 13 13 12 12 11 10 10 10 10 9 9 8 8 7 7 7 6 6 6 6 nan
nan 9 8 8 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 9 9 10 10 9 9 9 9 9 8 7 7 7 9 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 7 5 3 1 1 2 4 5 7 10 12 14 13 12 11 12 12 12 12 12 12 11 10 10 10 9 9 9 8 8 7 7 6 6 6 6 6 6 nan
nan 10 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 11 11 11 10 10 9 9 9 8 9 9 9 9 9 10 11 11 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 11 10 10 10 9 9 9 9 8 8 9 10 10 9 8 6 7 8 8 9 8 8 8 9 9 9 9 8 8 8 9 9 9 9 8 8 9 9 10 9 8 7 6 5 4 5 6 7 9 12 12 12 11 11 11 11 11 11 11 11 10 10 9 9 9 8 7 7 7 6 6 6 6 6 6 6 6 nan
nan 10 11 11 12 12 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 9 8 8 7 7 8 9 9 9 9 9 10 12 12 12 11 10 10 10 9 9 9 9 9 10 10 10 10 11 11 11 10 9 8 8 9 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 9 9 8 8 8 8 9 10 10 10 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 8 8 8 8 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 7 6 6 6 6 6 6 6 6 6 6 nan
nan 11 11 12 12 12 11 11 10 9 9 9 9 9 8 9 9 9 9 9 9 9 10 10 9 9 9 8 7 6 6 7 9 10 10 10 10 10 10 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 8 9 10 10 10 10 10 11 11 11 10 10 10 10 10 10 9 9 9 9 10 11 11 10 10 10 10 9 8 7 8 9 10 11 11 11 11 10 9 9 9 9 10 10 10 9 8 9 9 10 10 10 9 9 9 9 8 8 8 8 9 9 10 9 9 9 8 8 9 9 9 9 9 10 10 9 9 10 10 10 10 10 9 10 10 10 10 10 10 10 10 9 9 10 9 9 9 9 9 9 9 10 10 10 10 9 8 8 8 9 9 9 8 9 9 8 8 8 7 7 6 6 6 6 7 7 nan
nan 10 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 8 5 3 3 4 5 7 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 8 8 8 8 9 11 12 12 11 10 10 10 9 9 8 8 9 9 9 9 9 8 8 9 11 12 12 11 10 9 9 8 8 8 9 9 10 10 11 10 10 9 8 8 8 9 11 11 10 9 8 9 9 10 10 10 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 9 10 11 11 11 11 10 10 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 9 8 9 9 10 10 10 10 9 9 8 9 9 9 9 9 9 10 10 9 9 8 7 7 6 6 7 7 8 nan
nan 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 7 4 3 2 2 3 5 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 9 10 12 14 14 13 12 10 10 10 9 9 8 8 9 9 9 9 8 8 8 9 11 12 13 12 10 9 8 8 8 9 9 10 10 10 10 10 9 9 8 8 9 10 10 10 10 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 9 8 8 9 10 11 11 11 11 11 10 10 9 9 10 10 10 9 9 9 8 9 10 11 12 12 11 10 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 9 8 8 7 7 7 7 7 7 8 8 nan
nan 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 9 9 9 10 10 10 10 10 9 7 6 4 2 1 2 4 6 7 7 8 8 8 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 10 13 15 15 15 13 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 9 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 8 8 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 8 8 9 10 11 11 11 11 11 10 10 9 9 9 10 9 9 9 9 8 9 10 11 12 13 12 11 10 9 9 9 10 10 10 10 10 10 10 10 9 9 10 10 8 7 6 7 8 8 7 7 8 8 8 9 nan
nan 10 10 10 10 10 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 10 9 8 6 4 1 0 1 3 6 8 9 9 9 10 10 10 10 10 10 9 8 8 8 8 9 9 9 8 8 7 8 11 13 15 15 14 13 12 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 11 11 11 10 9 7 7 8 9 10 9 8 8 8 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 8 9 9 9 9 8 8 8 9 9 10 12 13 12 11 10 9 9 9 10 10 10 10 10 11 10 10 9 9 10 9 7 6 7 8 9 8 8 8 8 9 9 9 nan
nan 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 11 11 11 10 10 10 9 8 6 3 -0 -1 1 5 9 10 10 10 10 10 9 10 10 10 10 9 8 8 9 9 9 9 8 7 7 8 9 11 12 14 13 13 12 12 12 13 13 13 11 10 9 9 9 9 9 9 8 8 8 8 9 9 10 10 9 9 9 9 10 9 9 9 10 10 10 10 10 10 9 10 10 10 10 11 11 12 11 10 9 8 8 9 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 9 8 8 9 9 9 8 7 6 7 8 9 11 12 12 12 12 10 9 9 9 10 10 10 10 11 10 10 9 9 9 8 7 7 7 8 9 9 9 9 8 9 9 9 9 nan
nan 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 10 9 8 5 2 -0 0 4 8 10 10 10 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 8 8 8 9 10 11 11 12 12 12 12 12 12 13 13 12 12 12 10 9 8 8 8 8 8 8 8 9 9 10 10 10 9 10 10 10 9 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 9 9 8 9 9 9 9 9 6 6 7 8 10 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 9 8 6 5 5 7 8 9 9 9 9 8 8 9 9 9 9 nan
nan 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 12 13 14 13 12 10 7 3 2 4 7 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 10 11 12 12 11 9 8 8 9 11 14 15 13 12 10 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 10 9 9 9 9 10 10 10 10 9 10 10 11 11 11 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 8 8 8 8 9 9 9 9 10 10 10 9 6 6 7 9 11 12 12 11 11 10 10 10 10 10 10 11 11 11 10 10 10 9 7 4 4 6 8 10 10 9 8 8 8 8 9 9 9 9 nan
nan 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 9 9 10 11 13 15 17 18 18 17 13 8 5 4 6 9 10 10 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 8 8 8 8 8 9 11 13 13 11 7 5 4 4 8 13 15 15 15 14 11 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 9 9 10 11 11 11 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 10 11 11 8 7 6 7 10 12 12 11 10 10 9 9 10 10 10 10 10 11 11 10 10 10 9 7 5 6 8 10 10 9 8 8 8 8 8 8 9 9 9 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 10 11 11 10 10 11 13 15 17 19 21 21 17 11 5 2 4 8 10 9 8 7 7 8 9 9 9 8 8 9 10 10 11 10 10 9 8 6 6 7 7 9 11 13 14 13 10 6 4 4 6 10 12 14 15 15 14 12 11 10 9 9 9 9 8 9 10 11 11 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 10 10 9 9 10 11 11 10 10 9 9 10 10 10 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 8 8 7 8 8 8 10 11 11 8 6 6 8 10 11 11 11 10 10 9 9 9 10 10 10 10 10 11 10 10 10 10 8 8 9 10 10 10 9 8 8 8 8 8 8 9 9 9 nan
nan 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 9 9 9 9 11 13 13 11 11 11 13 14 15 16 18 18 16 11 4 -0 2 7 10 10 7 6 6 8 9 10 10 9 10 10 11 11 11 10 10 8 7 6 5 6 7 8 9 10 12 13 12 11 8 7 7 8 9 10 12 12 12 12 11 10 9 9 8 7 7 8 10 12 11 10 10 10 10 10 10 10 10 9 7 7 8 9 10 11 10 10 9 9 9 9 9 9 9 10 11 11 11 10 10 9 9 9 9 9 8 8 8 8 8 9 10 10 10 10 10 9 8 8 7 7 7 8 9 11 10 9 7 6 8 10 11 11 11 11 10 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 nan
nan 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 8 9 11 13 13 12 11 12 13 13 13 13 13 14 13 10 5 1 3 8 11 11 9 7 7 8 9 10 10 10 10 11 11 11 10 10 9 8 7 6 6 6 7 7 7 8 9 11 13 13 12 10 8 8 7 8 8 9 9 9 9 9 8 8 7 6 6 8 9 9 9 8 9 9 9 9 9 10 10 10 8 7 7 8 10 10 10 10 9 9 9 8 7 8 9 11 12 12 11 10 9 9 8 8 8 8 7 8 8 9 9 9 10 11 10 10 9 8 8 8 8 8 8 8 10 11 10 9 8 8 9 9 10 11 12 11 10 10 10 9 10 10 11 11 11 10 10 9 10 10 11 10 8 5 6 7 8 9 9 9 8 8 9 9 9 9 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 12 13 13 11 11 12 13 12 11 10 10 11 12 12 9 6 7 9 12 12 11 10 9 9 9 9 10 10 11 11 11 10 10 9 9 8 8 7 7 8 8 8 7 7 8 9 11 12 11 9 8 7 7 7 7 7 7 8 8 7 7 6 5 5 6 6 6 6 6 7 8 7 7 7 8 10 11 11 10 10 10 10 10 10 10 10 10 10 9 8 8 8 9 11 11 11 10 10 9 9 8 8 8 8 8 9 10 11 11 10 10 10 9 9 8 8 8 10 10 10 9 10 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 9 7 5 6 8 10 11 10 10 9 9 9 9 9 10 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 11 14 14 13 11 10 10 11 10 8 8 9 11 14 15 13 10 9 10 12 14 13 13 12 10 10 9 10 11 11 12 11 11 10 10 10 10 10 10 10 10 10 9 9 8 8 9 10 10 10 8 5 4 4 6 7 7 7 7 7 7 6 5 5 5 5 5 5 5 7 7 8 8 7 8 9 10 11 12 11 11 11 11 11 10 10 10 10 10 10 9 9 9 10 10 11 10 10 10 9 9 8 9 9 9 10 11 12 12 12 11 10 9 8 7 7 7 8 10 11 11 11 12 12 12 13 13 12 11 10 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 9 8 7 8 10 12 12 12 11 10 10 9 9 10 10 nan
nan 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 10 12 14 15 14 11 9 9 9 8 7 7 8 10 14 15 13 10 9 9 11 14 14 14 13 12 10 10 10 10 11 12 12 12 11 12 12 13 13 13 12 11 10 10 10 9 9 9 9 11 11 7 3 0 0 3 6 7 8 8 8 7 7 6 6 5 5 5 5 7 8 9 9 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 9 9 8 9 9 9 9 9 10 9 9 8 9 9 9 10 10 12 12 12 11 10 9 7 6 5 4 5 8 10 11 12 12 12 13 13 14 14 13 11 10 8 7 7 7 9 10 10 10 10 9 9 10 10 10 10 9 9 9 10 10 10 9 9 10 12 13 13 13 12 12 11 11 10 11 11 nan
nan 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 10 10 9 10 11 13 13 12 10 8 8 8 7 7 7 7 8 10 11 10 9 8 8 10 11 12 13 12 11 10 9 9 9 10 11 11 12 12 12 13 13 14 14 13 12 11 10 10 10 9 9 10 12 13 9 5 1 -2 -1 1 4 7 8 8 8 8 8 7 7 7 6 7 9 10 10 11 11 10 10 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 7 7 6 6 6 6 6 7 7 7 6 7 8 9 9 10 10 10 10 9 8 7 6 5 4 4 6 8 9 10 10 11 12 13 13 14 13 12 11 10 9 8 7 7 9 10 11 11 10 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 11 13 13 14 14 14 13 13 12 12 12 nan
nan 10 10 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 10 9 10 12 13 13 11 9 8 8 7 7 7 7 6 6 6 6 7 8 8 9 10 10 11 11 10 9 9 8 8 8 8 9 10 10 11 11 12 12 12 12 11 11 10 10 10 10 9 9 11 14 14 12 8 4 0 -2 -2 0 5 8 8 8 8 8 8 8 8 9 10 11 11 11 10 10 9 8 8 9 9 9 9 9 8 7 6 6 6 6 7 7 6 5 5 4 4 3 3 4 3 3 2 2 3 5 7 8 9 9 8 8 7 7 7 6 6 4 5 6 7 8 9 9 10 11 12 13 13 13 12 11 10 9 8 8 8 9 10 11 11 10 10 9 9 10 10 10 10 10 10 10 11 11 11 10 10 10 11 13 15 15 16 16 15 15 14 14 nan
nan 10 10 10 10 10 11 11 11 12 11 11 11 11 11 11 11 11 10 10 10 13 15 15 12 9 8 7 7 7 8 8 7 6 5 4 5 7 8 10 10 11 11 10 9 9 9 8 8 8 8 8 9 9 10 10 11 11 11 11 10 10 10 10 10 9 9 9 12 15 15 13 10 8 4 0 -2 -1 2 6 8 8 8 8 8 8 9 9 11 11 11 10 10 9 9 9 10 11 12 12 12 11 10 9 8 6 5 5 5 6 6 5 5 6 6 5 4 4 3 3 1 1 1 2 3 5 7 7 7 7 7 7 8 8 7 6 5 6 6 7 9 9 10 11 12 12 12 11 11 10 10 9 9 8 8 8 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 11 10 10 9 9 9 11 13 15 17 18 17 17 16 16 nan
nan 10 10 10 10 10 10 11 11 12 11 11 11 11 11 11 11 11 10 9 10 12 16 17 14 11 8 7 7 7 8 8 7 6 4 3 4 6 8 9 10 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 8 9 9 9 9 9 12 14 14 13 11 9 7 4 1 -1 1 5 6 7 7 7 8 8 8 9 10 11 11 10 10 10 11 12 12 13 13 13 13 14 13 13 12 10 8 7 7 7 7 7 7 7 8 8 7 7 7 6 5 4 3 2 1 2 3 5 6 7 7 8 9 9 7 6 6 6 6 8 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 10 9 9 9 10 10 10 10 11 10 10 10 10 10 9 8 8 9 11 13 16 17 17 17 16 16 nan
nan 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 9 9 11 15 18 16 12 9 7 6 7 7 7 7 6 3 2 3 5 7 8 9 10 10 9 9 8 9 9 10 10 10 9 9 9 9 9 8 7 5 2 1 1 3 6 8 9 8 9 12 13 13 11 10 9 8 6 3 1 2 5 7 7 6 7 7 7 7 8 9 10 10 10 10 10 11 11 12 13 13 13 14 14 14 14 14 13 11 10 10 9 9 9 9 9 9 9 9 9 10 9 9 9 7 5 3 2 2 4 5 7 8 10 10 10 8 8 7 7 8 9 9 10 9 9 9 9 9 10 11 11 11 11 10 10 9 9 9 10 11 11 11 9 9 10 10 11 11 11 11 11 10 10 10 9 9 8 8 7 7 9 12 13 14 14 14 14 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 11 14 17 17 13 9 6 5 6 6 7 7 5 2 1 3 5 7 8 8 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 6 2 -1 -3 -2 1 6 8 9 10 11 12 11 10 9 9 8 7 4 3 5 8 9 8 7 7 7 7 6 7 7 8 9 9 10 10 10 10 11 12 13 13 14 14 14 14 14 14 13 12 12 11 10 10 10 10 10 11 11 11 12 12 11 11 10 9 6 4 3 4 6 8 9 11 11 10 9 9 8 8 9 10 10 9 9 9 9 9 10 11 12 12 12 11 10 9 9 9 10 10 11 11 10 9 9 10 10 11 11 11 11 11 11 10 10 9 9 9 9 7 6 7 8 9 10 10 10 10 nan
nan 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 10 9 10 12 15 16 13 8 5 3 4 5 6 7 6 3 1 2 5 7 8 8 8 8 7 8 8 8 9 9 9 10 10 10 9 9 10 12 14 13 9 4 -1 -2 -1 2 5 7 9 10 11 11 9 9 8 8 6 3 3 5 9 11 11 10 9 8 7 6 6 6 7 7 8 9 11 11 10 10 10 11 12 13 13 14 15 15 14 14 14 13 13 12 11 11 11 11 12 13 13 13 13 12 11 11 10 8 6 5 5 7 8 10 11 11 10 10 9 9 9 10 10 10 9 9 9 10 11 12 13 13 13 13 12 10 9 8 8 9 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 10 9 9 9 9 8 7 7 7 7 8 8 8 9 nan
nan 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 9 9 10 13 14 11 7 3 2 2 4 5 6 6 4 2 2 4 7 9 9 9 8 8 7 8 8 9 9 10 10 11 11 10 10 11 14 18 18 17 14 7 2 -1 -1 1 2 5 7 9 10 9 9 9 8 6 3 2 4 8 12 12 12 11 9 8 7 7 7 7 8 9 10 11 11 11 10 9 10 11 11 12 13 14 14 13 13 14 14 14 14 13 12 12 13 14 13 13 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 9 9 9 10 10 11 13 13 13 13 13 12 10 8 7 8 8 9 9 9 9 9 8 8 8 9 10 10 11 11 11 11 10 10 10 9 9 9 9 8 8 8 8 8 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
2 2 2 3 3 3 3 3 3 4 3 3 3 3 4 4 3 2 2 2 2 2 1 1 1 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 8 24 47 65 68 64 61 58 61 63 66 73 80 81 78 79 83 88 83 80 82 92 104 113 122 121 116 119 127 145 182 244 231 193 215 359 579 754 822 841 770 760 850 971 1106 1177 1101 911 775 743 650 464 283 176 140 134 119 121 150 164 147 103 54 31 18 16 19 22 17 8 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 7 10 13 18 22 20 27 45 86
2 2 2 1 2 2 2 1 1 2 2 2 2 2 2 2 1 1 2 2 2 2 1 1 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 0 0 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 1 1 0 0 0 1 5 17 34 50 63 70 62 60 66 70 70 72 78 82 84 84 85 89 86 80 77 80 86 91 95 101 104 104 106 116 146 176 168 173 224 342 497 620 678 729 814 857 919 1005 1094 1105 985 802 791 820 730 529 319 189 152 136 120 144 169 176 163 128 82 62 43 33 28 30 28 15 7 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 3 5 7 9 10 8 8 14 35
2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 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 0 0 0 0 0 1 2 4 6 5 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 3 10 21 34 52 70 59 62 68 73 76 76 76 87 92 94 96 96 92 82 75 81 90 94 97 100 100 97 98 103 124 135 140 154 198 298 445 561 634 738 832 824 798 825 878 874 808 769 859 885 797 609 374 209 166 134 134 164 184 186 187 164 128 96 70 50 39 39 36 20 13 12 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 3 2 5 14
1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 9 9 7 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 1 3 8 19 39 64 68 70 71 71 75 77 82 95 112 117 117 111 99 82 77 87 97 104 106 103 98 91 88 97 112 119 119 128 166 252 390 510 580 653 718 725 692 673 671 674 693 746 850 917 886 720 415 290 220 158 173 231 269 262 263 266 233 151 105 82 65 54 40 29 33 21 10 4 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 3 8
0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 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 0 0 0 0 0 0 0 3 8 11 11 10 7 3 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 1 3 13 28 44 59 69 71 69 71 74 92 104 115 126 132 129 107 85 86 97 109 117 116 108 102 94 88 93 105 112 109 111 136 188 286 410 492 554 598 614 600 594 565 588 655 743 837 927 965 776 442 336 271 249 273 354 414 414 397 350 284 210 158 128 104 84 63 37 24 18 11 5 3 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5
0 0 1 0 1 1 0 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 9 10 10 9 7 5 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 3 15 27 42 56 64 68 70 70 90 110 124 130 136 143 125 110 105 110 118 123 121 114 110 101 90 87 94 98 97 100 113 145 197 297 392 477 546 573 562 582 518 530 612 719 821 937 1043 792 543 405 343 291 315 482 533 532 493 383 295 258 221 187 160 138 108 73 47 27 13 17 27 18 8 3 2 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 2
0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 1 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 0 0 0 0 0 0 0 0 2 4 6 8 10 11 10 9 9 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 2 6 12 22 35 44 58 66 71 84 108 131 142 144 152 145 130 123 124 127 127 122 116 113 105 98 93 93 96 98 99 99 119 150 216 300 382 459 504 503 513 471 466 528 626 716 862 899 757 580 482 482 513 518 568 592 589 541 446 367 329 287 248 222 189 159 132 99 62 38 43 43 32 24 18 9 2 2 4 1 0 0 0 0 1 2 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 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 0 0 0 0 0 0 0 0 0 0 2 4 6 7 9 12 12 12 11 9 7 3 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 7 14 16 35 56 67 80 104 130 140 141 153 151 140 133 132 131 125 117 111 110 109 107 104 101 102 105 104 99 111 131 166 223 302 393 403 412 421 426 438 463 519 591 679 679 625 555 511 499 540 566 574 581 565 516 449 377 317 300 291 284 267 244 219 190 156 110 88 66 48 36 28 14 5 10 9 8 6 5 5 5 2 5 4 5 5 2 1 0 0 0 0 0 0
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