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 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 8 6 6 6 6 6 5 4 4 5 5 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 7 7 7 7 8 8 8 9 11 13 14 12 10 7 6 6 6 6 6 6 6 5 5 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 4 4 5 5 4 4 5 5 6 8 10 12 13 14 14 12 11 9 7 6 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 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 8 8 8 8 8 7 6 6 6 7 7 6 6 6 7 7 6 6 6 5 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 8 8 8 8 8 10 12 14 14 12 9 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 6 6 6 6 5 6 6 8 11 13 17 19 19 17 14 10 7 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 5 5 5 5 5 5 5 5 5 6 7 7 7 6 6 6 6 6 5 5 5 6 6 6 nan
nan 7 7 7 8 8 7 7 7 7 7 6 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 6 5 5 5 6 7 8 9 9 9 9 8 8 8 8 8 8 8 8 7 7 8 8 9 10 9 8 7 7 7 7 7 7 8 8 8 10 13 16 15 11 8 7 7 7 6 6 6 6 6 6 5 5 4 4 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 5 5 6 6 7 7 7 6 6 6 6 8 12 17 21 23 22 19 14 10 7 6 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 5 5 5 5 5 5 6 6 7 6 6 6 6 6 6 6 5 5 5 5 6 6 nan
nan 7 7 7 8 8 7 7 7 6 6 6 6 6 7 7 7 7 8 8 8 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 6 6 6 7 7 8 8 8 9 9 8 8 8 8 8 8 8 8 7 7 7 8 9 10 9 8 7 7 6 6 6 6 7 7 8 8 11 15 16 13 10 8 7 7 7 6 7 7 7 7 6 5 5 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 6 5 5 8 13 18 22 25 23 19 15 11 9 7 6 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 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 nan
nan 6 7 7 8 8 7 7 6 6 6 6 6 6 6 7 7 8 8 8 8 8 7 7 6 6 7 7 7 7 7 7 6 6 6 6 5 5 5 5 6 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 7 7 8 9 9 8 7 7 7 6 6 6 6 7 7 8 10 13 15 15 14 11 9 7 7 7 7 7 7 7 7 6 5 5 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 5 4 5 7 12 18 22 23 22 20 16 13 10 8 7 6 6 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 5 6 6 6 6 6 6 5 5 5 5 5 5 6 6 5 6 nan
nan 6 6 7 7 7 7 7 7 7 8 8 8 8 7 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 7 6 6 5 4 4 4 4 5 6 7 7 7 7 7 7 7 7 7 7 6 6 6 7 8 8 8 8 8 8 9 8 8 8 7 7 7 8 9 9 8 7 7 7 6 6 6 7 7 8 9 11 13 15 16 15 12 9 8 8 8 8 8 8 8 7 6 5 5 5 4 4 5 5 5 6 6 6 6 6 7 7 7 6 6 6 6 6 7 7 7 7 7 6 5 3 4 6 11 16 20 22 22 20 17 15 12 10 9 8 7 6 6 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 6 6 6 6 5 5 5 4 5 5 6 6 6 5 6 6 nan
nan 6 6 6 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 8 8 7 6 5 5 5 6 6 6 7 7 8 8 7 7 7 7 7 7 7 6 6 6 7 7 7 7 8 9 9 9 8 8 7 7 7 9 9 9 8 8 7 7 7 7 7 7 7 8 8 8 9 12 15 16 15 13 11 9 8 8 8 8 8 8 7 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 5 3 4 6 9 13 18 21 21 20 18 17 16 15 13 12 10 8 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 4 4 5 5 6 6 6 6 6 6 nan
nan 6 5 5 5 6 6 7 8 8 8 8 8 7 6 6 6 7 8 8 8 8 8 9 8 8 7 7 8 8 9 9 9 9 8 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 9 10 10 10 9 8 8 8 8 9 9 9 8 8 8 7 7 7 7 7 8 7 7 7 9 11 14 16 16 14 12 10 9 9 8 9 8 8 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 6 5 4 4 5 7 11 15 17 18 19 20 21 22 21 18 15 11 8 6 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 6 5 5 5 4 4 5 6 6 6 6 6 6 6 nan
nan 6 5 5 5 5 6 7 7 7 6 5 5 5 5 5 6 7 8 8 8 8 8 9 9 8 7 6 7 7 8 9 9 9 8 8 7 8 8 9 9 9 8 7 7 7 7 7 8 9 9 9 9 9 9 8 8 8 8 7 8 9 9 10 10 10 9 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 7 7 7 8 9 11 13 15 15 14 14 13 11 10 9 9 8 8 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 6 5 4 5 6 8 10 12 15 18 22 26 27 25 21 16 11 8 6 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 6 6 6 6 6 5 6 nan
nan 6 6 6 6 6 6 7 7 6 5 4 4 5 6 6 6 7 8 8 7 7 8 9 9 8 7 6 6 6 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 8 8 9 9 8 8 9 9 9 9 8 8 9 9 9 9 10 10 10 9 9 8 7 8 8 9 9 8 8 8 8 8 7 7 7 7 7 7 8 8 9 10 11 12 14 15 16 15 13 11 10 9 8 7 7 7 7 6 6 6 6 6 5 5 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 6 5 5 4 4 6 8 12 18 24 29 30 26 21 16 11 8 6 5 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 5 5 6 6 6 6 6 6 5 5 nan
nan 7 8 8 7 7 7 7 7 7 6 5 5 6 7 7 7 8 9 8 7 7 7 8 8 8 7 6 6 6 6 7 8 7 7 6 6 6 6 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 8 8 7 8 8 9 8 8 8 8 7 8 8 8 7 6 7 8 8 8 8 9 10 11 14 17 18 17 15 13 11 9 8 8 8 7 7 7 7 6 6 6 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 6 5 4 3 3 6 11 19 25 28 28 24 19 14 11 8 6 5 5 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 6 6 6 6 6 6 6 6 6 nan
nan 8 9 9 8 8 8 8 8 8 8 7 7 7 7 8 9 10 9 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 8 8 8 8 8 7 7 6 6 6 7 6 6 7 7 9 10 10 10 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 7 7 7 8 9 11 14 16 18 19 18 15 12 10 9 9 8 8 7 7 7 7 6 6 6 5 5 5 5 4 4 4 4 4 5 4 4 5 5 5 5 5 6 6 6 6 7 7 6 5 3 3 6 11 17 22 26 25 22 18 14 11 8 7 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 6 6 6 6 6 6 6 6 6 nan
nan 7 8 9 8 8 9 9 8 8 8 7 6 6 8 9 10 10 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 7 8 9 9 10 9 9 9 8 8 7 7 7 7 7 6 6 6 7 9 10 9 8 7 6 5 5 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 7 7 7 7 8 7 7 7 7 7 8 10 13 16 20 21 20 17 14 12 10 9 9 8 8 8 7 7 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 6 4 4 6 9 14 19 22 22 20 18 16 12 10 9 8 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 nan
nan 6 7 8 8 8 9 8 7 7 7 6 6 6 7 9 9 9 8 8 9 9 8 8 8 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 8 8 8 6 5 5 5 5 5 6 7 8 8 8 8 8 8 8 8 8 8 8 8 9 8 7 7 7 7 7 7 7 7 7 6 6 7 9 12 16 20 22 21 19 16 13 11 10 9 9 9 8 8 7 7 7 6 6 5 5 5 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 6 7 7 6 5 4 4 8 12 15 18 19 20 19 18 15 13 11 10 8 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 8 8 8 7 6 5 6 7 8 8 8 8 8 8 8 9 8 8 8 7 8 8 9 9 9 9 8 7 7 7 8 8 8 8 7 7 7 6 7 7 7 7 8 9 9 9 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 6 6 6 7 7 7 8 9 11 15 19 22 22 19 16 13 12 11 10 10 10 9 9 9 8 8 7 6 6 5 5 4 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 4 5 6 6 6 5 4 5 6 9 12 15 18 19 20 19 18 15 13 11 9 8 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 6 6 6 6 6 nan
nan 8 8 8 8 7 6 5 5 5 7 9 10 11 10 8 8 8 9 8 7 7 6 6 7 7 8 9 9 9 8 6 5 5 6 8 9 8 8 8 7 7 6 6 6 6 6 7 8 8 7 7 7 8 8 7 6 6 6 7 8 9 9 9 8 8 8 7 7 7 8 7 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 7 6 6 7 8 8 8 8 8 9 11 15 19 21 21 18 15 13 12 12 11 11 11 11 11 11 10 9 8 7 6 5 4 4 3 3 2 2 2 2 2 2 3 3 3 3 3 4 4 4 5 6 6 7 6 5 5 5 7 9 12 15 18 19 19 18 17 15 12 10 8 8 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 6 6 6 6 nan
nan 9 9 9 8 7 6 5 5 6 7 9 9 10 10 9 8 8 8 7 7 6 6 7 7 7 8 8 9 8 7 6 4 4 6 8 9 9 9 9 8 7 6 6 6 6 6 6 6 6 6 7 8 9 9 8 7 7 7 8 9 10 10 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 7 7 8 8 9 8 8 8 8 9 11 15 19 21 19 16 14 13 12 12 12 12 13 13 13 12 11 10 8 7 6 5 4 3 3 2 2 2 2 2 2 3 3 3 4 4 4 4 5 5 5 6 6 7 7 6 5 5 5 7 9 12 15 17 18 18 17 15 13 11 10 8 8 7 7 6 6 6 6 5 6 6 5 5 6 6 6 6 6 6 6 6 5 5 6 6 6 6 nan
nan 10 10 10 9 8 7 7 7 8 8 8 7 7 8 8 8 8 7 7 7 7 8 8 9 9 8 8 8 7 6 5 5 5 7 8 9 10 10 9 8 7 8 8 8 8 7 6 5 5 7 9 10 11 10 9 9 8 8 8 8 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 7 7 7 8 8 9 12 16 19 18 16 14 13 12 12 12 12 12 13 13 13 13 12 10 8 7 6 5 4 3 3 3 2 2 3 3 3 4 4 5 5 5 5 6 5 5 5 6 6 7 7 7 6 6 5 5 7 9 12 15 17 18 18 16 14 12 11 10 8 8 7 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 nan
nan 11 12 12 11 10 10 9 9 9 9 8 7 6 6 6 7 7 7 8 8 9 9 10 10 9 9 8 7 6 5 5 6 7 8 9 9 10 10 9 9 9 9 9 8 8 7 5 5 7 9 10 12 12 11 10 9 8 8 8 8 8 8 7 7 8 8 8 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 9 9 10 10 9 9 9 8 8 8 8 7 6 6 7 7 9 13 16 17 16 15 14 13 12 12 12 11 12 12 12 12 12 11 9 8 6 6 5 4 4 4 4 4 4 4 5 6 6 6 6 6 7 7 6 6 6 6 6 6 7 7 8 8 7 6 5 6 8 11 14 16 17 18 17 16 14 12 11 9 8 7 6 6 6 6 5 5 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 nan
nan 11 12 13 13 12 12 11 11 11 10 9 7 7 6 7 7 8 8 9 9 9 9 10 9 9 9 9 8 7 6 5 6 8 8 9 9 9 9 9 10 10 9 9 8 6 5 5 7 8 10 11 12 11 10 9 8 8 8 8 8 8 7 6 6 6 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 10 10 10 10 9 9 8 8 8 7 7 7 7 7 8 10 12 15 16 17 15 14 13 12 12 11 11 11 11 11 10 10 9 8 7 7 6 6 6 6 6 6 7 7 8 8 8 9 8 8 8 8 8 8 7 7 7 7 7 8 8 8 9 8 7 6 6 7 9 12 14 16 17 17 17 15 13 12 10 9 8 7 7 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 10 11 13 13 13 12 12 12 11 11 9 9 8 9 8 9 9 9 9 8 9 9 9 9 10 10 9 8 7 7 7 8 8 8 8 9 9 9 9 9 9 9 8 6 5 5 6 7 9 11 12 12 11 10 9 8 8 8 8 8 8 6 5 4 4 5 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 9 9 10 10 10 10 9 8 8 8 8 8 8 8 9 9 8 10 12 14 16 15 13 13 13 13 13 12 11 10 10 9 9 8 8 8 8 8 8 8 9 10 10 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 8 8 8 8 9 10 9 8 7 6 6 7 9 12 15 17 17 17 16 14 12 11 9 8 8 7 6 6 6 6 6 6 6 6 5 6 6 6 6 7 6 7 7 nan
nan 9 10 11 12 12 12 11 11 11 11 10 10 10 10 10 9 9 8 8 8 9 9 8 9 9 9 8 7 7 8 8 9 8 8 8 8 8 8 9 8 8 8 7 6 5 5 6 7 9 10 12 12 11 10 10 9 8 7 8 8 7 6 5 5 4 5 6 7 8 8 8 8 7 7 8 9 9 10 10 10 10 9 9 9 9 9 9 10 10 9 8 8 8 8 9 9 9 11 11 10 9 10 11 12 12 11 11 12 14 15 14 12 11 10 10 10 9 9 10 10 10 11 12 13 13 14 15 15 15 15 15 14 14 14 14 14 13 12 11 11 10 10 10 10 9 9 9 10 10 10 9 8 6 5 6 8 11 14 16 17 18 17 15 13 12 10 9 8 7 7 6 6 7 7 6 5 5 5 6 6 6 6 6 7 7 nan
nan 8 9 10 11 11 11 11 10 11 11 10 10 9 10 10 9 8 8 8 9 9 9 8 8 8 8 7 7 8 8 8 9 9 9 8 8 8 8 7 7 7 7 7 6 6 7 7 8 10 11 12 12 11 10 10 8 7 6 6 7 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 8 7 7 8 8 9 10 11 12 13 12 10 9 9 9 10 10 10 11 13 16 16 14 12 12 11 11 11 11 11 12 12 13 14 15 16 17 17 17 17 17 17 17 17 17 16 16 15 14 13 12 12 12 11 11 10 9 9 9 10 11 11 10 8 6 6 6 7 10 13 15 17 18 17 16 14 13 11 10 9 8 7 7 7 7 6 6 5 6 6 6 6 6 6 6 7 nan
nan 9 9 10 11 11 11 10 10 10 10 9 9 9 10 10 10 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 7 7 7 7 7 8 8 8 10 11 13 13 12 11 10 9 8 7 7 6 6 6 5 5 5 6 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 10 11 11 10 10 10 9 9 8 7 7 7 7 8 9 10 11 13 13 12 10 9 9 9 9 10 10 10 12 14 15 15 14 13 13 13 13 12 13 13 14 15 15 16 17 18 18 18 18 18 18 18 18 18 17 17 16 15 14 13 13 12 12 12 11 11 10 10 10 11 11 12 11 10 8 7 6 7 9 12 14 16 17 17 17 15 14 12 11 10 9 8 8 8 7 6 6 6 6 6 6 6 6 6 6 nan
nan 9 9 10 11 11 11 10 10 9 8 8 8 9 10 11 10 9 9 9 8 8 8 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 9 8 7 6 6 7 8 9 10 12 14 15 14 12 10 8 7 7 7 8 8 7 6 6 6 6 8 9 9 9 8 8 8 8 8 8 9 8 8 8 8 9 9 10 10 10 10 10 9 9 8 8 7 7 7 7 8 9 9 11 11 12 11 10 9 9 9 9 9 9 10 10 11 13 15 15 15 14 14 14 14 14 14 15 15 16 17 17 18 18 18 18 18 18 18 17 17 16 16 15 15 14 14 13 12 12 12 12 11 11 10 10 10 11 12 12 12 11 9 8 7 7 9 11 13 15 17 17 17 16 15 13 12 11 10 9 9 8 7 7 6 6 6 6 6 6 6 6 nan
nan 9 9 10 10 10 11 10 10 9 9 9 9 10 11 11 10 10 9 9 8 8 8 8 9 9 9 9 9 10 10 10 10 9 9 10 10 11 10 9 8 6 5 5 7 8 10 13 15 15 13 11 8 7 7 7 7 8 8 7 7 7 9 11 12 13 12 11 9 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 10 10 9 9 9 9 9 9 9 9 9 9 9 11 13 15 15 15 15 14 14 14 14 14 15 16 17 17 17 17 17 17 16 16 16 15 15 15 14 14 14 14 13 13 12 12 11 11 11 11 11 10 10 10 11 11 12 13 12 11 9 8 8 8 10 12 14 16 17 17 16 16 14 13 12 11 10 9 8 8 7 7 7 7 7 6 6 6 nan
nan 9 9 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 9 9 8 8 9 9 9 9 8 8 7 8 9 9 8 8 8 9 10 11 11 10 9 7 5 5 6 7 9 11 13 13 11 9 8 7 7 7 7 7 7 6 7 9 12 15 16 15 14 12 11 10 9 8 9 9 9 9 8 9 9 10 10 10 10 10 9 9 8 8 8 9 9 10 10 10 10 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 11 13 14 14 14 14 13 12 11 11 12 13 15 15 16 15 15 15 15 15 14 14 14 13 13 13 13 12 12 12 11 11 11 11 10 10 10 10 9 9 9 10 10 11 12 12 11 9 8 8 7 8 11 13 14 16 17 17 16 15 14 13 12 11 10 9 8 8 7 7 7 7 6 6 nan
nan 9 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 8 9 9 8 8 9 10 11 11 11 11 9 8 7 6 6 7 8 10 11 10 7 6 7 7 7 6 6 6 7 8 9 11 13 14 15 14 14 13 12 11 10 9 9 9 9 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 10 9 8 8 8 9 9 9 10 10 9 9 9 9 10 10 9 9 10 11 12 12 12 11 10 9 7 5 4 6 9 12 13 13 13 13 13 13 13 13 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 9 9 10 10 10 10 9 8 7 8 9 11 13 15 16 17 17 16 15 14 13 12 10 9 9 8 8 8 7 7 7 nan
nan 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 9 8 8 9 11 11 11 10 10 9 8 7 7 7 8 8 9 10 10 8 5 4 5 6 7 7 7 8 8 9 10 11 11 12 12 13 13 13 12 12 11 10 10 10 9 9 9 9 10 10 10 10 10 9 10 10 10 10 9 9 9 10 10 10 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 7 5 2 -0 0 3 8 10 11 10 10 10 11 11 11 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 9 10 10 10 9 8 7 7 8 10 12 14 15 16 17 17 16 15 14 12 11 10 9 9 8 8 7 7 nan
nan 9 10 10 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 8 7 7 6 7 8 8 8 9 10 9 8 8 8 10 11 11 11 9 8 7 7 7 8 10 11 11 12 12 11 8 5 3 2 4 6 9 10 10 9 8 8 8 8 9 10 11 12 12 13 12 12 12 11 10 10 9 10 11 11 10 10 9 9 9 10 11 11 11 10 10 9 9 8 8 8 7 7 7 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 6 4 3 3 5 6 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 8 8 9 10 10 9 8 7 7 8 9 10 12 14 16 17 17 17 16 14 13 11 10 10 9 9 8 7 nan
nan 9 9 10 10 10 9 8 8 9 10 10 9 9 9 9 8 8 8 9 8 8 8 9 9 8 8 8 8 7 6 7 8 9 10 10 10 9 8 7 7 8 10 13 14 14 12 11 9 7 5 3 2 3 6 9 11 10 9 6 5 6 7 8 8 9 10 12 13 13 13 13 12 12 11 11 11 11 11 10 9 8 8 9 10 10 10 10 10 10 9 8 8 8 8 7 6 6 6 7 8 8 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 7 5 3 3 4 4 5 5 5 6 6 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 9 8 7 7 7 8 9 11 14 15 17 17 17 16 14 13 12 11 10 10 9 8 nan
nan 9 9 9 9 9 8 8 8 9 9 10 9 9 9 9 8 7 8 10 10 10 10 10 9 7 6 6 6 6 6 7 7 8 8 9 9 9 9 8 8 9 11 13 14 13 11 9 7 6 4 4 4 5 7 9 9 8 7 5 5 6 8 8 8 8 9 11 13 15 15 15 14 14 14 14 13 11 10 9 8 8 8 9 9 9 8 7 7 9 9 9 9 8 8 8 7 7 7 7 8 8 9 9 10 10 10 10 9 9 9 10 10 10 10 10 9 10 9 9 9 8 8 6 3 -1 -2 -0 2 4 5 5 5 5 6 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 9 9 8 7 7 8 9 11 13 15 16 17 16 16 15 14 13 11 11 10 9 nan
nan 9 9 8 7 7 7 7 7 8 9 10 10 10 9 8 8 7 8 10 11 12 11 10 8 6 6 6 7 7 8 8 9 9 9 9 9 9 9 8 8 9 9 9 9 9 8 7 6 6 6 7 9 10 10 8 6 5 4 5 7 9 10 10 9 8 9 10 11 13 15 15 15 15 15 13 11 10 9 9 9 9 9 8 8 7 6 6 6 8 9 10 9 9 8 8 8 8 7 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 9 9 8 4 -1 -6 -9 -8 -5 0 4 5 5 5 5 6 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 8 9 10 12 14 15 16 16 16 15 14 13 12 11 10 nan
nan 8 9 8 7 7 8 8 8 8 9 10 10 9 8 7 8 8 8 9 11 12 11 10 8 8 8 9 10 10 11 11 12 11 10 9 9 8 8 8 8 8 8 7 6 6 7 7 7 8 9 11 13 13 12 9 6 4 4 6 8 10 11 10 9 8 7 8 8 9 11 13 13 12 11 10 8 7 8 9 10 10 9 8 7 7 7 6 7 8 9 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 10 11 11 11 11 10 10 10 10 8 2 -5 -12 -14 -12 -9 -4 1 4 5 5 5 6 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 10 9 8 8 8 9 10 12 14 15 16 16 16 15 14 13 12 12 nan
nan 8 9 9 8 9 8 8 8 8 9 9 8 7 7 8 9 9 8 10 12 12 11 10 10 10 11 13 14 14 14 14 13 12 11 10 9 9 10 10 9 9 10 9 9 10 10 10 10 12 13 15 15 13 11 9 7 6 5 6 7 9 9 8 8 8 8 8 6 6 8 10 10 9 8 7 6 6 7 8 8 9 9 8 7 7 7 7 7 8 9 10 10 9 9 8 9 9 9 9 8 8 8 9 9 9 8 8 8 8 9 9 9 10 10 11 11 10 10 11 10 8 3 -3 -8 -9 -10 -10 -9 -5 0 4 5 6 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 9 9 9 9 9 10 10 10 10 10 9 8 8 9 10 12 14 15 16 16 16 15 14 14 13 nan
nan 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 12 13 13 12 12 12 12 13 13 14 14 14 14 13 12 12 12 12 13 13 13 12 12 13 13 14 15 14 12 12 13 15 16 14 12 9 8 7 7 6 5 6 5 5 6 8 10 11 11 9 8 8 8 9 8 7 7 7 7 7 7 7 8 9 8 7 7 8 8 8 9 9 10 10 10 9 9 10 10 9 8 8 8 8 8 8 8 8 9 9 9 8 8 9 9 10 11 11 10 10 10 10 8 5 3 2 1 -1 -6 -9 -9 -4 1 5 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 8 8 8 9 9 9 9 9 10 10 10 10 10 9 8 8 9 10 12 14 16 17 17 16 15 14 13 nan
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nan 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 11 12 12 11 11 10 10 9 8 7 7 7 7 7 8 9 9 10 10 11 11 10 8 8 8 10 11 11 11 9 8 8 9 9 10 10 11 12 12 12 9 8 8 9 10 10 10 12 13 13 12 11 9 8 8 7 6 5 5 5 5 5 5 5 6 6 6 7 8 9 8 8 8 9 10 9 9 9 10 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 10 10 9 8 8 8 7 5 6 8 8 6 1 -1 2 6 7 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 10 9 8 9 10 12 15 17 18 17 16 15 nan
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nan 9 9 9 10 11 11 12 12 12 12 12 11 11 10 10 10 9 9 9 9 9 9 10 9 9 9 10 10 10 10 11 11 11 11 12 12 12 11 11 11 10 10 10 11 10 9 8 8 9 10 10 11 11 11 12 12 11 11 11 11 12 13 13 12 12 10 10 9 9 10 10 10 10 9 10 11 12 12 12 12 11 11 10 10 10 10 10 9 9 9 9 9 10 10 9 8 7 6 7 7 8 9 11 11 10 9 8 7 7 8 9 9 9 10 10 9 7 6 6 7 9 10 11 12 13 14 14 13 11 9 9 8 9 9 9 10 10 9 8 6 5 4 3 2 3 4 5 5 5 4 4 5 5 5 5 5 5 6 7 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 nan
nan 9 9 10 10 10 11 11 11 11 12 11 11 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 10 10 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 8 8 8 9 10 10 11 11 11 11 11 11 10 10 10 11 12 12 13 13 13 12 11 11 11 11 11 10 10 9 9 10 11 12 11 11 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 9 8 8 8 9 10 11 12 11 10 8 7 7 7 8 9 9 10 11 12 12 10 8 6 6 7 8 9 10 11 13 13 14 13 12 10 8 8 9 10 10 10 9 8 7 6 4 3 2 3 4 5 5 5 4 4 4 5 6 6 5 5 7 8 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 10 9 8 8 8 9 9 9 9 9 nan
nan 9 9 10 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 10 10 11 11 12 11 11 10 10 10 11 11 11 11 11 11 10 10 9 9 9 8 8 8 8 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 12 13 13 13 12 12 11 11 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 9 9 9 10 10 10 10 9 10 10 10 11 12 12 11 10 8 7 7 8 8 9 9 10 12 13 14 13 11 9 7 7 7 8 9 10 10 11 13 13 13 11 9 8 8 9 10 11 10 8 7 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 4 4 6 9 10 9 9 10 10 10 10 10 10 10 11 11 11 11 10 10 9 8 8 8 8 8 8 8 8 9 nan
nan 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 11 11 10 10 11 10 10 9 9 8 8 8 8 8 8 8 9 8 8 8 9 9 9 9 8 8 8 9 9 9 9 10 11 12 13 13 13 12 11 11 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 10 10 10 10 10 10 11 11 11 11 10 9 8 8 8 8 9 8 9 10 11 13 15 16 15 12 10 8 8 9 10 10 10 11 12 12 12 11 10 8 8 8 9 10 10 9 8 6 6 7 7 8 7 6 6 8 10 11 11 11 10 7 4 4 6 9 10 9 9 10 11 11 10 10 10 10 10 10 10 10 9 8 7 7 6 6 6 6 7 7 7 7 nan
nan 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 11 12 12 12 12 11 11 10 10 10 10 9 8 8 8 9 9 9 9 9 8 8 9 9 11 12 12 11 10 9 9 10 10 10 11 11 10 10 9 8 8 8 9 9 9 8 8 8 9 10 12 14 15 14 12 10 8 9 10 11 11 11 11 12 11 11 9 8 7 7 8 9 10 10 8 6 5 6 7 7 7 5 5 5 7 10 12 13 12 10 6 6 9 11 11 9 9 10 11 10 10 9 9 9 9 10 10 9 8 7 6 5 5 5 5 5 6 6 7 7 nan
nan 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 7 7 7 7 8 8 8 9 8 8 8 9 9 9 9 9 10 10 10 11 10 10 10 11 11 11 11 10 10 10 10 10 9 8 8 9 10 10 10 10 9 9 8 8 9 11 12 12 11 10 9 10 10 11 11 11 11 10 9 9 8 8 9 10 10 10 8 8 8 8 9 10 11 12 14 13 11 9 9 9 10 9 9 10 11 11 10 9 8 7 7 8 8 9 10 9 8 6 6 6 7 8 7 6 5 4 6 9 11 11 9 8 8 10 12 11 10 10 10 10 9 9 8 8 8 8 9 9 8 7 5 4 4 4 5 5 5 6 6 7 8 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 11 10 10 9 9 9 8 8 8 8 8 7 7 8 8 8 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 11 11 10 10 9 10 10 9 9 8 8 9 10 10 11 11 10 9 8 8 9 10 12 12 11 10 9 10 10 11 11 11 11 10 10 9 9 9 9 10 10 10 9 9 8 8 8 9 10 11 13 13 12 10 9 8 8 7 8 9 9 10 9 9 8 7 7 7 8 9 10 11 10 8 7 7 8 9 9 8 7 5 5 6 8 8 7 7 8 9 10 9 9 9 9 8 8 7 7 7 7 8 8 8 8 6 4 3 4 5 5 6 6 7 7 8 9 nan
nan 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 10 9 9 9 10 11 11 11 11 10 10 9 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 10 9 8 8 9 9 10 10 10 9 9 9 10 11 11 12 11 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 10 10 9 9 8 8 9 9 10 11 12 12 12 10 9 7 7 7 7 8 9 9 9 9 8 8 7 7 7 8 10 10 10 9 8 8 8 9 9 9 9 8 8 8 7 7 6 6 7 8 8 7 7 7 6 6 5 4 5 6 6 7 8 9 9 7 3 2 3 5 6 7 8 8 9 9 10 nan
nan 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 11 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 10 11 12 12 12 12 12 12 11 11 11 11 12 12 12 11 10 9 8 8 9 9 9 9 10 11 11 11 11 11 11 10 10 10 11 11 12 12 12 11 11 10 10 9 9 9 9 9 9 8 8 8 8 9 10 11 11 11 11 10 9 7 7 7 8 8 9 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 8 9 9 8 7 7 6 6 5 3 2 2 4 5 6 6 8 10 8 5 3 4 6 7 8 9 9 10 10 10 nan
nan 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 10 11 12 11 10 9 9 9 9 9 10 11 12 13 14 14 13 11 9 9 9 9 9 10 11 12 12 12 11 11 10 10 11 11 11 11 12 12 12 12 12 11 10 9 8 9 9 9 8 8 7 7 8 9 10 10 10 10 10 10 9 8 7 7 8 10 10 11 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 11 11 10 9 9 9 9 10 10 9 9 9 8 8 7 6 4 3 4 5 5 4 5 8 9 8 6 6 7 8 8 8 9 10 10 11 nan
nan 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 11 12 12 12 11 10 10 9 9 9 9 9 9 9 9 10 10 9 9 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 7 8 8 9 9 8 7 6 6 6 6 7 7 8 9 11 13 14 14 13 12 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 11 10 9 9 10 10 10 10 8 7 7 8 10 11 11 10 10 10 9 9 8 8 9 10 11 11 11 11 10 10 10 10 10 11 11 10 9 7 6 7 9 9 10 10 10 11 11 11 10 9 8 8 8 9 10 10 10 10 9 9 9 8 7 6 7 7 6 5 5 7 9 8 7 6 7 7 7 7 8 10 10 10 nan
nan 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 11 12 12 12 11 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 8 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 7 6 6 6 6 6 6 6 5 5 5 5 6 7 7 9 10 11 12 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 11 10 10 10 12 13 12 11 9 9 10 11 12 12 12 11 10 9 9 10 10 10 10 10 10 9 9 9 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 10 7 5 6 7 9 10 10 11 11 11 11 10 9 8 8 8 8 9 10 10 10 9 9 9 9 8 8 9 9 8 8 7 7 6 4 3 4 6 7 7 7 8 9 10 10 nan
nan 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 10 11 12 12 12 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 7 6 6 6 6 6 6 6 5 5 5 5 6 6 7 7 8 9 10 10 11 12 13 13 14 14 14 13 13 12 12 12 13 13 14 12 11 10 10 10 12 13 11 9 8 8 10 11 12 13 13 13 12 10 10 9 9 9 9 9 9 9 9 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 9 6 6 6 7 8 8 9 10 11 11 11 11 10 9 8 7 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 7 3 -1 -0 3 6 8 8 8 8 9 9 9 nan
nan 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 9 10 10 11 12 11 10 10 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 8 9 9 9 8 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 8 8 9 9 10 10 11 12 12 13 14 14 13 12 12 12 13 14 13 12 11 10 10 11 11 10 8 7 8 10 11 11 12 12 12 12 11 11 10 9 8 8 8 8 8 8 9 11 11 10 10 10 10 10 10 11 11 10 10 10 10 9 8 7 7 7 7 7 7 8 10 11 11 11 11 11 10 9 8 8 8 9 10 10 10 10 10 9 9 9 8 8 9 9 9 6 0 -2 -0 4 6 7 7 7 8 8 8 8 nan
nan 9 9 10 10 10 10 11 11 11 11 10 10 10 10 9 9 9 9 9 10 10 11 12 11 10 9 8 8 8 8 8 7 7 6 6 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 10 11 11 10 9 8 7 6 7 7 7 8 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 10 10 12 13 13 13 12 12 12 12 12 12 12 11 11 11 10 8 7 7 8 10 10 11 11 11 11 10 10 10 10 8 7 7 8 8 7 7 8 10 10 10 10 9 10 10 10 10 10 10 10 9 9 9 8 8 8 7 7 7 7 8 9 10 11 11 11 11 11 10 9 8 8 9 10 10 11 11 11 10 10 9 8 8 8 8 6 3 0 -0 2 5 6 6 6 6 6 6 6 7 nan
nan 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 10 9 8 8 8 8 7 7 6 6 6 7 7 8 8 9 9 9 9 10 10 10 11 11 11 11 12 12 12 11 10 9 8 7 6 7 8 9 10 9 9 10 10 10 10 10 10 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 10 11 11 12 12 12 12 12 12 12 12 12 11 10 8 8 8 9 9 10 11 11 10 10 9 9 10 10 9 8 8 9 9 8 7 7 8 9 10 9 9 9 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 11 11 12 12 11 10 10 9 8 9 10 10 11 11 11 11 10 9 8 7 5 3 1 1 1 3 4 5 5 5 5 4 5 5 5 5 nan
nan 9 9 9 9 9 9 9 10 10 10 9 10 10 10 11 11 11 11 12 12 12 13 12 11 10 8 8 8 8 8 7 7 7 7 7 7 8 9 9 10 10 11 11 11 11 11 11 12 12 13 13 13 12 12 11 10 9 8 7 7 8 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 7 7 7 7 8 8 8 8 7 8 8 9 9 9 10 10 11 12 12 12 12 12 12 11 11 10 10 10 10 10 10 11 11 11 10 10 10 10 11 10 9 9 10 10 9 8 7 7 8 9 9 9 9 10 10 9 8 9 9 10 10 10 9 9 8 8 8 9 9 8 9 10 10 11 12 12 12 11 10 9 8 9 10 10 11 11 11 11 10 10 8 6 2 -2 -2 1 4 5 6 5 4 4 4 4 4 4 4 5 nan
nan 9 9 9 9 8 8 9 9 9 9 8 8 9 10 10 10 11 11 12 12 12 13 13 11 10 9 8 8 8 8 8 8 8 8 7 8 8 9 10 10 11 12 12 11 11 11 11 11 12 12 12 12 12 11 11 11 10 9 9 8 8 8 9 9 9 9 8 8 8 8 9 9 10 10 10 10 9 8 8 7 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 11 11 11 11 11 11 12 12 12 11 11 12 11 11 10 10 11 11 11 10 10 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 9 10 10 10 10 10 9 9 8 9 9 8 8 8 9 10 11 12 12 11 11 10 9 8 9 10 11 11 11 11 11 10 10 9 8 3 0 1 3 5 6 6 5 5 4 4 4 4 4 4 5 nan
nan 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 12 12 12 11 10 9 9 9 9 9 9 9 9 9 8 8 9 10 11 11 11 12 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 9 9 8 8 9 9 9 9 9 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 11 11 12 12 12 12 12 12 11 10 9 10 10 10 10 10 9 9 8 7 8 8 9 9 9 10 10 9 8 7 7 8 8 9 10 10 10 10 10 9 8 8 9 9 8 7 7 8 9 11 11 11 11 11 10 9 8 9 10 11 11 11 11 11 10 10 10 9 7 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 nan
nan 9 8 8 8 8 8 8 8 7 7 8 9 10 10 11 11 11 11 11 11 12 12 12 11 10 10 10 10 10 10 10 10 10 9 8 8 10 11 12 12 11 11 11 10 10 9 9 9 9 10 10 10 10 10 11 12 12 12 12 11 10 10 9 10 10 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 8 7 6 7 8 9 10 11 10 10 9 7 7 7 7 8 9 9 10 9 9 9 8 8 8 9 10 9 7 7 7 9 10 11 11 12 11 10 9 8 9 10 11 11 11 11 11 10 10 10 9 9 9 7 4 2 3 5 6 6 6 6 6 6 6 6 6 nan
nan 9 8 8 8 8 8 8 7 7 7 8 9 10 11 11 11 11 11 11 11 11 12 11 10 10 10 10 10 10 10 10 10 10 9 8 8 10 11 12 11 11 10 10 10 9 9 9 9 9 9 10 9 10 10 10 12 13 13 13 13 12 12 11 10 9 9 8 8 8 8 8 8 7 7 7 8 8 9 9 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 9 9 10 10 10 10 10 9 8 9 9 9 9 8 8 8 7 7 7 7 8 9 10 10 10 9 8 7 7 8 8 9 9 9 9 9 9 9 8 9 9 10 11 10 9 8 8 9 10 10 11 11 11 10 9 8 9 10 11 11 11 11 11 10 10 10 10 10 10 6 2 1 2 5 7 7 7 6 6 6 7 7 7 nan
nan 8 8 8 8 8 8 8 7 7 7 8 9 10 10 11 10 10 10 10 10 11 11 10 10 9 9 9 10 10 10 10 10 9 9 8 7 8 9 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 10 11 12 12 13 13 13 13 12 10 9 7 7 7 7 8 7 7 6 6 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 9 8 8 8 8 8 9 9 10 10 9 7 7 7 8 8 8 8 8 8 7 7 7 7 8 9 9 9 9 8 8 8 9 9 10 10 9 9 8 8 9 10 10 10 10 11 11 11 11 10 10 9 9 9 10 10 10 9 9 8 9 10 11 11 11 11 10 10 10 10 10 10 9 5 2 2 3 6 7 7 7 6 6 7 7 7 8 nan
nan 8 8 8 8 8 8 8 7 7 7 8 10 10 11 10 9 9 8 8 8 9 10 10 9 8 8 8 9 9 9 9 9 9 8 7 6 6 7 8 8 9 8 8 7 7 8 8 8 8 9 9 9 9 9 9 10 10 11 12 12 12 12 12 11 8 6 6 6 7 7 8 7 6 6 5 6 6 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 8 7 7 8 8 10 10 9 7 6 5 5 6 6 6 7 7 7 7 7 7 8 8 8 9 9 10 10 11 11 11 11 10 10 9 9 10 11 12 12 12 12 12 12 12 12 11 10 9 8 8 8 9 9 9 8 8 9 10 10 11 11 11 10 10 10 10 10 10 9 7 5 4 5 6 6 6 6 6 6 6 6 7 8 nan
nan 9 9 9 9 9 9 9 7 7 7 8 11 12 12 11 10 8 8 7 7 7 9 9 9 8 7 8 8 8 8 8 8 8 7 6 5 6 6 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 9 9 10 10 11 12 12 12 11 8 7 6 6 7 8 9 9 8 7 6 5 5 6 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 7 7 7 8 8 7 7 7 7 9 10 10 9 7 5 4 4 4 5 6 7 7 7 7 7 7 8 8 9 10 11 12 12 12 12 11 10 10 10 10 11 12 13 14 14 14 13 12 12 12 11 10 8 7 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 7 7 6 5 5 5 5 5 5 6 7 8 nan
nan 10 10 10 9 9 10 9 8 7 7 8 11 13 14 13 11 10 9 9 8 8 9 9 8 7 7 7 7 7 8 8 7 7 7 6 5 5 6 7 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 10 11 12 12 11 9 8 7 6 7 9 10 10 10 8 7 6 5 6 6 7 8 8 8 8 8 8 8 9 9 10 9 9 8 6 6 5 5 4 5 5 6 6 6 5 5 6 7 8 9 9 7 6 4 4 3 4 4 5 5 6 6 7 7 8 9 9 10 11 11 12 11 10 10 10 10 10 11 11 12 13 14 15 14 13 12 11 11 11 9 8 8 8 8 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 8 6 5 4 4 4 5 5 6 6 7 nan
nan 9 10 9 9 9 10 9 8 7 6 7 9 11 12 13 13 13 12 12 11 10 10 9 8 7 7 6 7 7 7 7 7 6 6 5 5 6 7 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 9 10 11 11 10 9 8 8 7 7 8 9 10 10 10 8 7 7 6 7 7 8 8 8 8 8 8 8 9 10 11 11 9 8 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 7 7 6 5 4 4 3 3 3 3 4 4 5 6 7 8 9 10 10 10 10 10 10 9 9 9 9 9 10 11 12 13 14 13 13 12 11 11 10 10 9 8 8 8 8 8 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 11 11 10 9 9 7 5 4 3 3 4 5 6 6 7 nan
nan 9 8 8 8 9 9 10 9 7 6 6 7 8 8 10 13 15 15 13 12 12 11 11 9 7 7 6 6 6 6 6 6 6 5 5 5 7 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 7 6 6 6 7 7 9 10 10 10 10 9 8 8 7 7 7 8 9 10 9 9 9 8 7 8 8 8 8 8 7 8 9 10 11 12 12 11 10 9 9 9 8 8 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 9 10 11 11 10 10 10 9 9 8 9 9 10 11 12 13 12 12 11 11 10 10 9 9 8 8 9 9 8 9 9 10 10 10 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 9 7 4 3 2 3 4 5 6 6 7 nan
nan 8 8 7 7 8 9 9 9 8 6 6 5 5 5 7 11 13 14 13 12 12 13 12 10 8 7 7 6 6 6 5 5 5 5 5 6 7 8 9 9 9 9 10 10 10 10 11 11 10 10 9 9 8 8 7 6 6 5 5 5 6 7 9 10 10 10 10 9 8 7 6 6 7 8 9 10 10 10 9 9 9 9 8 8 8 8 9 10 11 12 13 13 13 13 12 10 10 9 9 8 8 8 8 8 8 7 7 7 7 7 6 6 6 7 7 7 7 8 8 8 7 6 5 4 5 8 11 12 12 12 11 11 10 9 9 9 10 10 11 11 11 11 12 12 11 11 10 9 9 9 9 10 9 9 9 9 10 10 10 9 9 10 10 10 10 10 11 11 11 12 11 11 11 11 9 7 5 3 2 3 4 6 6 7 7 nan
nan 8 7 7 7 7 8 9 9 8 7 7 7 6 5 5 8 10 11 12 12 13 14 14 12 10 8 7 7 6 6 5 5 5 5 5 6 7 9 9 10 9 9 9 10 10 11 11 11 11 10 9 8 8 8 7 7 6 5 4 4 4 5 7 9 10 11 11 10 9 7 6 5 6 7 8 10 11 11 11 11 10 10 9 9 9 9 9 10 11 12 14 15 14 13 12 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 11 11 11 10 8 7 7 8 10 11 11 11 11 11 11 11 11 10 9 9 10 10 10 11 11 12 12 11 10 10 9 10 11 10 9 9 8 9 9 9 9 9 10 10 10 10 10 11 11 12 12 12 12 11 11 10 9 8 7 4 3 5 7 8 8 8 8 nan
nan 8 8 7 7 7 8 9 9 8 8 8 9 8 7 6 6 7 8 9 10 11 13 15 15 12 10 8 7 7 6 5 5 5 4 5 6 7 9 9 9 9 9 9 10 10 11 11 11 11 10 9 8 8 8 8 8 7 6 5 5 4 4 6 8 10 11 12 11 10 8 6 5 6 6 8 10 11 12 12 12 11 11 10 10 10 9 9 9 10 12 13 14 13 12 10 9 9 9 10 10 10 10 9 10 10 10 10 11 11 11 10 10 10 11 11 12 12 13 13 13 13 13 12 10 9 8 8 9 10 10 9 10 11 11 11 10 9 9 9 9 9 10 11 11 12 12 11 11 11 11 12 11 9 8 8 8 8 9 9 10 10 10 10 10 10 11 12 12 12 12 11 11 10 10 9 9 8 7 8 10 13 13 12 11 10 nan
nan 9 8 8 8 9 9 9 9 8 8 9 10 9 8 7 7 6 6 6 7 9 11 14 15 14 11 9 8 7 7 6 5 4 4 4 5 7 8 9 9 9 9 10 10 11 11 11 11 11 11 10 8 8 8 9 10 10 10 9 7 5 5 5 7 9 10 11 11 10 8 6 6 6 7 8 10 11 12 12 12 11 11 10 10 10 10 10 10 10 10 11 11 10 9 9 9 9 9 10 10 11 11 11 12 12 12 12 13 13 13 13 13 14 14 14 15 15 15 14 14 14 14 14 12 10 9 8 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 11 11 12 12 12 12 12 12 10 9 8 8 8 8 8 9 10 10 10 10 10 10 11 12 12 12 11 11 10 10 10 9 10 9 9 12 15 16 15 14 14 15 nan
nan 9 9 9 10 10 10 10 9 9 9 9 9 9 9 8 8 7 6 5 5 6 9 12 15 14 12 10 9 8 7 6 5 5 4 3 4 6 8 9 9 9 10 10 10 10 10 10 10 11 11 10 9 9 9 10 11 13 13 12 10 8 6 5 6 7 8 9 9 9 8 6 6 6 7 8 9 10 11 11 11 11 10 10 9 10 10 10 10 10 10 9 8 8 8 8 9 10 9 9 9 10 12 13 12 12 12 13 14 15 15 16 16 17 17 16 16 16 15 15 15 14 14 14 14 12 11 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 12 13 12 12 12 12 10 9 7 7 7 7 8 8 9 9 10 9 9 9 10 11 11 11 11 11 11 10 10 9 9 9 9 10 12 14 13 13 14 16 18 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
25 10 6 6 5 3 3 3 2 2 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 1 2 3 4 7 7 3 1 0 0 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 3 17 33 43 53 58 64 77 116 146 154 156 177 225 269 281 311 327 348 350 319 280 240 181 151 141 138 135 127 113 99 86 70 134 241 391 567 696 707 640 552 460 353 237 140 77 41 21 15 15 14 11 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 0 0 0 1 2 2 3 5 7 8 9 11 11 11 9 6 4 4 7 13 20
53 23 10 6 4 4 4 3 3 3 2 2 2 2 1 1 1 0 1 0 0 1 1 1 0 0 2 3 3 4 5 5 2 0 0 0 0 0 1 2 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 7 19 32 45 61 82 81 112 151 168 166 173 197 192 185 221 262 275 247 187 135 101 84 75 75 89 107 110 108 112 95 65 49 66 139 277 430 527 584 621 624 556 427 288 170 85 43 28 26 24 20 14 7 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 1 1 2 2 3 4 7 9 10 12 12 11 9 6 4 5 8 14 22
104 52 16 3 2 3 3 3 3 2 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 1 2 3 3 4 4 4 3 0 0 0 0 0 0 0 1 2 2 2 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 2 11 27 66 88 84 92 114 136 159 159 196 166 146 166 197 207 206 164 125 98 76 58 57 73 95 100 111 116 95 71 55 44 48 101 220 338 421 532 650 699 643 522 365 195 100 61 43 36 33 21 10 9 6 3 1 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 3 7 10 11 12 12 11 9 8 6 7 9 13 20
153 88 30 5 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 3 1 1 1 2 2 3 4 4 4 3 1 0 0 0 0 0 0 1 1 1 2 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 1 8 45 66 74 79 86 97 117 112 156 159 148 156 168 146 164 153 150 143 108 72 62 75 88 92 103 96 81 70 63 58 53 61 108 183 258 380 555 730 830 753 605 398 241 145 87 60 49 40 29 20 14 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 1 1 2 2 5 7 9 11 13 15 13 10 10 10 9 9 12 19
185 139 79 41 20 7 1 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 3 3 3 3 2 1 1 1 2 3 2 2 2 1 1 1 1 0 0 0 0 0 1 1 2 2 3 3 1 0 0 0 0 0 0 0 0 0 1 2 3 4 4 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 4 27 53 71 81 90 83 87 88 112 128 135 146 146 120 125 113 108 99 83 70 74 84 83 87 95 100 98 89 75 70 73 68 73 104 157 246 396 602 808 795 716 577 423 292 197 134 107 92 73 52 35 21 11 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 4 6 7 8 9 12 14 12 11 11 11 10 10 12 19
194 183 148 110 73 39 16 3 0 1 1 1 1 1 1 1 2 2 2 1 0 0 1 2 5 6 5 3 3 3 3 3 4 4 6 7 7 5 4 2 1 1 0 0 0 0 1 1 2 2 1 0 0 0 0 0 0 0 0 1 4 6 7 11 12 13 11 7 5 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 14 36 64 87 110 120 109 88 82 85 96 108 101 105 105 82 60 47 40 42 61 71 77 81 84 87 88 86 78 77 114 98 76 80 100 136 207 364 584 695 734 716 640 528 431 328 245 192 157 123 87 55 30 15 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 3 6 7 6 6 8 11 11 10 9 8 10 11 12 14 18
184 200 200 184 151 100 69 43 24 14 9 6 3 2 2 2 2 3 3 1 0 0 0 1 5 7 7 7 7 7 7 8 9 10 12 14 12 9 7 6 4 3 2 2 1 0 0 0 0 1 1 1 1 1 0 0 0 0 0 2 6 9 12 15 16 17 18 19 18 15 12 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 20 48 80 109 133 134 123 96 66 63 54 56 78 80 52 25 21 22 29 42 56 66 67 65 66 67 64 61 70 95 88 75 70 68 72 97 194 362 527 659 758 811 784 723 623 491 372 290 234 185 133 79 39 15 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 4 6 6 6 8 11 10 8 6 6 7 10 10 11 14 15
193 218 232 226 214 166 137 113 91 71 54 39 22 8 4 5 4 3 3 2 1 2 2 1 3 6 8 8 8 9 11 11 11 13 15 15 13 11 10 9 8 7 6 5 3 1 1 1 1 1 1 0 1 1 1 0 0 0 0 2 5 10 15 17 18 20 23 25 26 24 20 14 8 4 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 20 42 66 89 129 148 105 51 40 30 31 53 52 31 19 16 18 24 36 50 56 51 43 40 40 35 39 52 65 72 72 67 65 61 64 101 182 302 458 624 751 820 846 812 717 597 494 427 371 299 190 98 43 16 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 6 8 10 9 7 5 5 7 10 11 13 13 13
262 280 278 253 258 227 202 189 184 180 167 141 110 80 45 29 22 17 14 8 3 3 3 1 1 3 5 6 6 8 11 12 12 12 11 10 10 10 11 11 10 9 9 8 5 5 4 4 3 2 1 1 2 4 4 3 2 4 4 4 8 11 15 17 20 23 26 28 29 29 25 20 15 11 7 4 3 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 4 16 30 69 133 156 99 61 36 23 23 34 37 26 17 17 20 25 39 50 51 44 35 31 27 23 27 39 52 61 68 62 61 62 63 69 89 144 260 402 540 655 728 758 752 720 674 657 654 568 402 237 117 46 19 7 2 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 2 2 5 6 7 8 8 6 5 5 7 9 12 14 14 13
347 351 343 316 298 269 250 249 270 292 280 231 198 169 114 60 30 22 21 17 6 3 1 1 0 0 1 3 3 5 6 10 11 10 9 7 6 7 8 9 11 11 11 9 8 7 7 9 8 8 7 5 6 10 11 11 10 15 17 13 15 16 20 25 28 28 27 27 28 29 27 23 22 20 15 13 11 6 3 4 7 8 4 1 0 0 0 0 0 0 0 0 0 0 0 1 3 12 32 66 114 134 117 55 25 22 30 33 23 17 23 29 40 53 58 48 34 28 28 22 17 19 31 45 51 60 62 69 80 89 90 82 84 129 205 300 386 458 524 588 654 722 816 887 832 668 450 233 99 52 27 12 5 1 1 0 0 0 0 0 0 0 1 1 0 1 0 0 0 1 1 0 1 4 6 6 6 5 4 5 5 6 9 13 14 15 14
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1 1 0 1 1 2 1 1 2 3 3 2 3 4 4 5 4 2 5 8 9 11 12 13 12 12 11 17 21 25 28 33 40 49 50 50 47 42 37 35 41 51 65 78 83 73 54 37 30 29 34 43 55 68 80 83 72 56 42 32 31 26 22 19 17 12 5 1 1 0 0 2 6 10 13 14 16 16 13 9 7 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 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 1 1 2 3 4 4 5 5 5 5 5 5 7 13 15 16 18 21 24 29 30 36 43 44 40 45 50 53 64 79 91 107 152 222 308 410 542 714 920 1132 1285 1360 1385 1382 1354 1279 1209 1129 1037 944
1 1 1 1 1 2 2 3 3 3 3 3 3 5 5 5 5 4 6 10 14 17 19 20 20 20 22 26 30 33 37 41 49 57 59 57 51 44 38 33 40 44 53 64 72 72 59 41 32 29 31 39 53 70 81 84 73 58 46 40 38 34 30 25 23 19 9 3 1 0 0 6 16 22 24 23 19 15 9 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 1 1 1 1 2 3 4 4 4 4 5 4 5 8 9 9 11 17 19 22 26 32 38 41 32 31 33 40 56 78 89 102 126 162 222 308 413 536 711 941 1147 1295 1387 1433 1421 1381 1330 1255 1156 1054
1 2 2 3 3 3 3 4 4 4 4 4 4 5 5 5 5 4 5 9 16 20 22 24 28 30 34 36 39 43 49 54 63 69 69 65 57 49 44 38 33 32 35 40 47 54 58 52 48 48 50 55 64 76 73 72 65 55 47 42 43 40 36 31 27 21 12 4 3 1 2 9 19 26 23 19 15 10 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 0 0 0 0 0 0 0 0 0 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 1 3 4 4 4 5 4 4 5 6 5 5 8 12 14 14 17 21 23 28 28 27 23 24 41 71 88 103 123 143 174 233 311 385 561 795 1027 1231 1388 1470 1477 1464 1436 1376 1274 1160
2 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 11 17 22 26 29 33 42 48 52 56 60 64 66 70 73 75 74 72 69 65 61 50 45 48 55 60 65 63 68 75 80 81 80 84 83 70 59 52 48 46 43 48 49 47 41 34 25 14 6 3 1 2 9 24 31 20 11 8 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 0 0 0 0 0 0 0 0 0 0 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 3 3 3 3 3 3 3 4 4 4 4 3 4 4 5 6 8 10 10 13 19 20 15 13 26 45 61 87 115 137 150 175 231 329 486 677 910 1170 1341 1419 1441 1470 1501 1479 1383 1276
3 4 4 4 3 2 2 3 3 3 3 4 5 5 5 6 6 6 8 15 19 23 27 35 47 58 61 63 62 59 56 55 58 62 68 74 80 82 79 78 79 83 86 84 80 78 81 85 93 100 101 91 91 87 76 64 55 50 49 45 49 53 54 50 41 31 20 12 9 10 17 31 46 50 31 14 7 6 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 3 3 4 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 4 5 6 8 8 8 10 17 24 36 59 92 120 132 134 159 223 332 494 728 1016 1235 1385 1468 1519 1564 1532 1454 1359
4 6 6 3 1 0 0 1 1 1 1 3 4 5 6 8 8 8 11 14 16 19 24 32 45 51 50 44 36 28 25 31 37 39 42 46 51 54 59 65 71 70 69 75 74 70 67 70 78 91 97 87 83 84 82 76 70 64 55 49 46 47 49 50 48 41 36 35 38 48 63 65 69 72 54 30 13 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 0 0 0 0 0 0 0 0 0 0 0 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 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 4 5 6 8 10 13 15 15 19 35 61 84 93 96 109 136 184 296 535 831 1154 1460 1675 1665 1607 1540 1477 1410
7 6 5 2 1 0 0 0 0 0 0 1 2 3 5 7 9 9 11 14 16 17 18 20 19 26 26 21 15 11 12 16 19 20 21 21 20 23 27 29 29 32 40 48 57 64 58 50 50 59 66 64 66 73 77 78 76 71 62 51 42 39 41 44 48 49 57 63 67 70 77 80 89 87 73 51 26 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 1 1 1 1 1 1 1 2 2 3 4 3 3 4 5 5 6 7 10 12 16 17 15 15 23 35 44 55 72 88 92 99 180 354 648 1057 1492 1718 1658 1571 1476 1401 1336
6 5 3 1 0 0 0 0 0 0 0 1 1 2 3 4 6 6 7 8 9 10 12 13 14 17 18 16 12 11 13 15 17 19 19 17 13 9 10 15 20 21 20 29 50 63 58 46 40 44 48 49 54 62 68 70 67 62 53 45 40 39 40 38 40 47 56 62 63 61 57 65 73 77 78 73 57 23 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 1 1 1 1 1 1 1 2 2 2 4 5 5 7 8 9 10 12 12 14 23 29 27 24 27 32 35 46 70 96 108 116 121 186 356 656 1056 1349 1512 1538 1457 1357 1311
5 4 4 2 0 0 0 0 0 1 1 1 1 2 3 2 3 3 4 5 5 6 9 12 17 20 19 16 14 14 16 20 25 26 24 19 12 8 9 11 15 22 28 36 54 66 67 62 58 59 61 67 73 77 76 69 56 46 40 37 38 38 35 30 34 43 53 55 50 51 47 50 57 63 69 80 85 60 36 15 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 2 4 6 8 10 13 17 19 18 21 26 34 45 52 50 42 58 64 57 54 76 101 111 98 80 77 117 301 632 1008 1375 1612 1621 1544 1474
3 2 3 2 0 0 0 0 1 1 1 1 1 2 2 2 1 1 1 2 2 3 6 9 12 12 11 11 12 11 13 18 23 25 24 20 17 10 6 6 7 11 16 28 47 61 68 70 71 69 70 78 88 96 95 79 49 30 23 25 27 25 21 25 37 50 62 67 66 64 60 57 53 50 57 65 75 73 61 40 15 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 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 1 2 2 2 2 2 1 1 1 1 1 1 1 1 0 1 2 4 7 12 16 22 29 38 52 54 59 64 76 87 98 114 103 100 112 117 98 78 95 112 120 117 101 80 71 134 271 569 1015 1417 1611 1676 1636
1 1 2 1 0 0 0 1 2 1 0 0 1 1 1 1 0 0 1 1 0 1 4 6 8 8 7 7 8 7 8 10 12 15 18 16 15 10 7 5 4 5 5 13 31 47 57 60 59 55 56 63 74 85 88 72 38 14 8 11 12 11 15 31 45 58 70 79 84 79 73 70 59 45 46 47 52 55 60 56 36 15 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 0 0 0 0 0 0 0 0 1 1 2 3 4 4 5 5 4 4 3 1 1 1 1 1 2 3 5 10 15 21 31 55 91 121 140 164 173 182 194 210 226 246 247 234 227 228 227 177 149 143 152 164 166 151 135 121 108 113 223 569 976 1299 1504 1552
0 0 1 1 1 0 0 1 1 0 0 0 0 1 1 0 0 0 0 0 0 1 3 4 5 5 4 4 3 3 3 6 7 8 10 11 14 15 13 9 6 5 5 12 21 31 36 37 38 39 43 50 59 65 60 47 25 12 8 7 5 4 12 28 40 49 57 67 78 79 77 74 67 58 50 45 44 42 44 47 44 29 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 4 7 10 11 12 11 9 7 6 4 3 1 2 5 10 16 25 44 69 93 127 225 325 396 441 432 431 445 449 442 437 448 450 445 433 421 423 340 280 248 244 250 230 215 203 205 206 202 233 448 766 1054 1247 1319
1 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 3 2 2 2 2 2 3 5 5 6 7 9 9 10 11 10 8 7 8 13 19 23 24 26 32 38 44 49 49 40 28 15 7 3 2 2 2 6 11 18 25 33 42 54 63 69 70 69 67 62 57 52 45 40 39 40 41 41 26 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 7 13 19 23 25 24 22 21 19 18 20 23 25 32 53 83 119 192 321 481 631 679 649 644 628 589 564 568 580 575 511 484 494 527 553 531 507 452 391 350 340 351 306 276 255 246 262 323 439 579 765 966 1119 1197
3 2 4 4 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 2 2 2 3 3 4 5 6 7 8 8 9 10 11 12 10 8 6 7 10 13 16 19 25 30 33 35 38 28 20 12 6 2 1 1 1 1 1 4 9 15 23 34 41 47 53 57 60 61 61 56 48 40 38 38 46 59 51 22 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 6 13 24 33 40 45 50 55 61 66 69 96 101 93 135 231 345 469 632 742 793 821 747 610 490 407 341 304 312 284 292 295 293 296 305 355 384 387 367 338 317 294 291 277 261 244 235 254 305 377 499 679 857 981 1071
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