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 10 11 13 15 17 19 20 20 20 18 15 12 11 11 10 9 8 7 6 6 7 7 7 7 7 8 8 8 8 7 7 7 7 6 7 7 8 9 11 12 11 9 7 7 8 9 9 9 8 7 6 6 7 8 8 7 8 9 9 9 8 8 8 7 6 6 7 7 8 8 9 9 9 9 10 11 12 12 12 11 10 9 8 7 8 10 10 9 8 7 7 9 9 9 9 9 8 7 6 7 8 8 7 7 6 6 7 8 7 7 7 7 8 8 8 8 9 8 8 8 7 8 8 8 8 9 9 8 8 8 8 8 9 9 10 9 7 7 6 7 7 9 10 12 12 11 10 9 9 10 11 12 13 13 13 11 10 10 10 8 6 3 2 2 4 7 8 8 9 9 9 9 9 9 10 11 11 10 9 8 8 8 8 8 7 nan
nan 9 9 11 13 14 16 18 20 21 21 20 17 15 13 11 10 9 8 7 7 7 8 8 8 8 8 9 9 8 8 7 7 7 7 7 7 8 9 10 11 11 10 8 7 8 9 10 10 10 8 7 6 6 7 7 6 7 8 10 10 10 9 9 8 7 7 6 7 7 8 8 9 9 9 9 10 10 10 10 10 10 9 9 9 10 11 11 10 9 9 9 10 10 9 9 10 10 8 7 8 8 8 8 7 7 7 9 9 8 8 8 8 9 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 9 8 7 7 7 7 7 9 11 11 11 10 9 8 8 9 10 12 13 13 13 12 11 11 10 8 5 3 0 1 3 6 8 9 9 9 9 9 9 9 10 11 10 8 7 7 8 9 9 8 8 nan
nan 7 7 8 10 12 14 16 18 19 21 22 21 20 18 16 14 13 11 10 9 9 10 10 10 10 10 10 10 9 8 7 7 7 8 8 8 8 8 9 9 9 9 8 7 7 7 8 10 11 10 9 8 8 8 8 7 7 8 10 11 11 11 10 10 9 8 7 7 8 8 9 10 10 9 9 9 8 8 9 10 11 11 10 10 10 10 10 10 9 10 10 10 10 9 10 10 10 9 9 9 9 8 7 7 8 9 9 9 8 8 8 8 9 10 10 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 7 9 10 11 11 10 9 8 9 10 11 11 12 12 12 11 12 11 10 8 5 2 -1 0 2 6 8 9 9 9 8 8 8 9 10 10 9 7 6 6 8 9 10 9 8 nan
nan 5 5 6 7 9 10 12 14 15 17 18 20 21 21 21 19 18 16 14 12 11 11 11 11 11 11 10 10 10 9 8 7 7 8 9 9 8 8 8 8 8 7 7 7 6 5 6 9 10 11 11 12 12 12 11 10 10 11 12 13 13 12 11 11 10 9 9 9 9 10 11 11 11 10 10 10 9 8 9 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 7 7 8 9 9 9 9 8 8 8 8 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 8 10 11 10 10 9 9 9 10 10 10 10 10 10 11 12 12 11 9 5 0 -1 -0 2 5 8 9 9 9 8 8 8 9 10 10 8 6 5 6 8 9 10 9 9 nan
nan 4 5 5 6 7 8 9 9 10 11 13 15 17 19 21 22 22 21 20 17 15 14 13 13 13 12 12 11 11 10 10 8 8 9 9 9 9 9 9 8 6 5 6 7 7 6 5 7 9 11 12 13 15 16 16 15 14 14 15 16 15 14 12 11 10 10 10 10 11 12 12 11 11 11 11 11 10 9 9 10 10 11 10 10 10 10 9 9 9 9 8 8 8 8 8 8 9 10 10 9 8 8 8 8 9 9 9 9 9 9 8 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 8 9 10 10 10 10 11 10 10 10 9 9 8 9 10 11 13 12 8 3 -1 -2 0 3 5 7 9 9 8 8 8 8 9 9 9 7 6 6 6 7 9 10 10 9 nan
nan 3 4 5 5 6 6 7 6 6 7 8 9 11 13 16 19 21 22 22 21 19 17 16 15 15 15 15 15 15 14 13 11 9 9 10 10 10 10 10 9 7 5 5 6 7 7 6 7 8 10 12 14 16 17 18 16 15 15 15 15 15 14 12 11 11 10 11 11 12 12 11 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 9 8 7 7 8 8 8 9 10 10 9 8 8 8 8 8 9 9 10 10 10 9 7 7 7 7 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 10 11 11 12 11 10 9 8 8 8 8 9 10 12 10 6 1 -2 -1 1 5 7 8 8 8 7 7 8 9 10 9 8 7 7 6 6 7 8 9 9 9 nan
nan 4 4 5 5 5 6 6 5 4 4 5 5 6 7 9 12 14 17 19 19 19 17 16 16 16 17 17 18 18 18 17 15 13 12 12 13 12 12 12 11 9 7 7 7 7 7 7 6 7 9 11 12 13 14 13 12 12 12 12 13 13 12 12 11 11 11 10 11 11 11 10 9 8 8 8 8 8 7 7 7 7 8 9 10 10 10 9 10 10 9 8 7 7 8 9 9 10 11 10 9 9 8 8 8 8 9 10 10 11 10 9 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 8 8 7 7 7 7 7 7 8 9 10 10 11 12 12 11 10 9 8 8 8 8 9 9 8 4 1 -1 1 4 7 8 9 8 8 7 7 8 9 10 9 8 7 7 7 7 7 8 9 9 9 nan
nan 5 5 5 5 6 6 6 5 4 3 4 4 4 4 5 6 7 9 12 14 14 14 14 14 14 14 15 17 18 18 18 17 16 15 15 15 15 15 15 14 13 12 10 9 8 7 6 6 7 7 8 9 9 8 7 6 7 8 9 9 9 9 9 9 9 9 8 9 10 9 8 7 7 7 6 6 6 6 6 6 6 7 9 10 10 9 9 9 9 9 8 8 8 9 9 10 11 10 10 9 9 9 9 9 9 10 10 11 10 10 9 8 7 7 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 8 7 7 7 7 7 7 8 8 8 9 10 11 12 12 10 9 9 9 9 8 8 8 6 4 2 2 4 7 9 10 10 9 8 7 6 7 8 9 9 8 7 6 7 8 8 9 9 9 9 nan
nan 7 6 6 6 6 6 6 6 5 5 4 5 5 4 4 3 4 4 6 8 10 11 11 11 11 10 10 12 13 13 14 14 15 15 14 15 16 17 17 18 17 16 14 12 10 9 9 9 8 7 6 5 5 4 4 4 5 5 5 5 5 6 6 6 7 7 6 7 8 8 7 6 6 6 6 6 7 7 7 7 7 8 9 9 9 8 8 9 9 9 9 9 9 9 9 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 8 9 9 9 8 8 8 8 7 7 7 7 7 6 6 6 6 6 7 8 8 8 7 7 7 8 8 7 7 7 7 8 8 10 11 11 10 9 8 9 9 8 7 6 5 4 4 5 7 9 10 10 10 10 9 8 7 7 7 8 8 7 7 7 8 9 9 9 9 9 9 nan
nan 10 9 8 7 7 7 7 7 7 6 6 6 5 5 4 3 3 3 3 4 6 8 9 9 8 7 7 7 8 9 9 10 11 12 12 13 14 15 16 18 18 18 17 16 15 15 14 13 10 7 5 4 4 5 5 5 5 4 4 3 3 3 4 5 6 6 6 7 8 7 6 5 5 6 6 7 7 8 8 8 8 9 10 9 9 8 9 10 10 10 9 9 8 8 9 10 10 9 9 10 10 10 10 10 9 9 9 10 10 10 8 7 7 7 8 9 9 9 9 9 8 8 8 8 7 7 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 7 7 6 7 7 8 9 10 10 9 8 7 7 7 7 6 5 5 4 5 7 9 10 10 10 10 10 10 9 8 7 7 7 7 7 7 7 8 9 9 9 9 10 10 nan
nan 12 11 10 9 9 8 8 8 8 8 8 8 7 6 5 4 3 3 3 4 5 5 6 7 7 6 5 5 5 6 7 8 9 9 10 10 11 12 13 15 16 16 17 18 18 18 18 16 12 9 7 6 6 7 7 7 5 4 4 3 3 3 4 5 6 7 7 8 7 6 6 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 9 10 10 9 9 9 9 8 8 8 8 9 10 10 10 8 7 7 8 8 8 9 9 9 9 8 8 8 8 8 7 7 7 7 7 6 6 6 7 7 7 7 8 8 8 7 7 6 6 7 8 9 10 10 10 9 8 8 7 6 5 5 5 4 4 5 8 9 9 9 9 10 11 11 11 8 6 6 6 7 7 7 7 7 8 8 8 8 9 9 nan
nan 11 12 12 11 10 10 10 9 9 9 9 10 9 8 6 5 4 4 4 5 6 6 6 6 5 5 5 5 5 5 6 7 8 8 8 9 9 10 11 12 13 14 15 16 17 18 19 18 15 11 9 8 7 7 8 7 5 4 4 4 5 5 5 6 6 7 8 8 7 7 9 10 10 10 9 9 9 9 9 9 8 7 7 8 9 10 10 9 9 8 8 8 7 7 7 8 9 9 9 8 8 8 7 7 8 8 10 11 11 10 8 8 8 8 8 8 8 9 10 9 9 8 8 8 8 7 7 7 8 8 7 7 7 7 7 7 8 8 8 8 7 6 6 7 8 9 9 10 11 11 10 10 9 8 6 5 5 5 4 5 6 7 8 8 8 8 9 10 11 10 8 6 6 6 6 6 7 7 7 7 7 7 7 8 8 nan
nan 9 10 11 11 11 11 10 10 10 10 11 11 11 10 8 7 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 8 8 8 9 10 11 12 12 13 14 16 18 19 17 14 12 9 8 7 8 7 5 4 4 5 6 7 6 6 6 7 8 9 9 10 12 12 11 9 9 10 10 10 10 9 8 7 7 8 8 8 8 8 7 7 7 7 6 6 6 8 9 9 8 8 8 8 8 8 8 8 10 11 11 10 9 8 8 8 8 8 8 9 10 9 8 8 8 8 7 7 7 7 8 8 7 7 7 7 8 8 8 9 8 8 7 7 7 8 9 9 10 10 11 10 10 10 9 8 6 5 5 5 5 5 5 5 5 6 6 7 7 9 10 9 7 6 6 6 6 7 7 7 7 7 6 6 6 6 7 nan
nan 8 8 8 9 10 11 11 10 11 11 11 11 11 10 9 8 8 8 8 9 9 9 8 8 8 8 8 8 8 7 6 6 6 6 7 7 7 7 8 10 10 10 10 11 12 14 16 19 19 17 15 13 10 9 9 8 7 5 4 5 6 7 7 6 6 7 9 11 12 12 12 11 9 9 10 11 11 11 11 11 10 8 7 7 7 6 7 7 7 7 6 6 5 5 6 8 8 8 7 7 8 8 8 8 8 9 10 11 11 11 10 9 8 8 8 8 8 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 9 9 9 9 8 8 8 9 9 9 9 8 7 6 6 6 5 3 2 2 3 5 6 6 7 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 nan
nan 8 7 7 8 9 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 10 10 10 10 9 9 9 9 9 8 7 6 6 6 6 6 6 7 8 9 9 9 9 10 11 13 15 18 19 19 18 17 15 14 13 12 9 6 4 4 5 6 6 6 7 8 10 12 11 10 9 8 8 9 11 12 12 13 13 12 10 8 7 6 6 6 7 8 8 7 6 5 5 5 7 8 8 8 8 8 8 8 9 9 9 9 10 11 11 11 10 9 8 8 8 8 8 8 8 8 7 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 9 8 6 5 6 7 9 9 10 10 10 10 10 10 8 6 3 3 3 4 5 6 7 7 7 7 8 9 8 7 7 7 7 7 7 7 7 7 7 7 nan
nan 10 9 8 8 8 8 9 10 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 9 8 7 7 6 5 5 5 6 6 7 7 8 8 9 10 10 11 13 15 17 18 19 20 20 20 20 16 10 7 5 4 5 6 6 7 8 9 11 11 9 8 7 7 8 9 10 11 13 14 13 11 9 7 8 8 8 8 8 8 8 7 6 6 6 7 8 8 8 8 8 9 9 9 9 9 9 10 10 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 8 8 9 9 9 9 9 9 8 7 6 5 6 7 8 9 10 11 12 13 13 13 13 11 9 7 6 5 5 6 6 7 7 7 8 8 8 7 7 6 6 7 7 7 7 7 7 8 nan
nan 13 12 10 9 8 7 8 9 10 11 11 10 10 9 9 10 11 11 11 11 10 10 10 10 10 10 10 9 9 8 7 7 6 6 6 5 5 6 6 6 7 8 8 9 9 10 11 13 14 16 18 20 22 24 25 19 12 8 7 7 7 7 7 8 9 10 10 9 8 8 8 9 9 10 10 11 13 13 11 9 7 8 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 10 10 9 9 10 10 9 8 8 8 8 9 9 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 8 8 7 6 6 7 7 8 9 9 10 11 12 13 14 14 15 14 12 9 7 6 6 5 5 6 6 6 6 7 7 7 6 6 6 6 6 6 7 7 8 nan
nan 15 14 13 11 9 8 7 8 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 7 7 7 6 6 6 6 6 7 7 7 8 8 8 9 9 11 13 14 16 18 20 22 23 19 15 13 12 11 10 9 8 9 10 10 10 10 9 9 9 10 10 10 11 11 12 11 9 7 6 7 7 7 7 7 7 6 6 7 7 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 8 8 8 8 8 7 7 8 9 9 9 9 8 8 8 9 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 8 8 8 7 7 7 7 8 8 9 9 9 9 9 11 12 13 13 15 15 14 12 10 8 6 5 4 4 4 4 5 6 7 7 7 7 6 6 5 5 6 7 7 nan
nan 16 16 15 13 11 10 9 9 9 10 10 10 9 9 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 10 11 13 13 14 15 17 18 18 18 18 17 15 13 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 7 5 5 4 5 5 5 5 6 6 7 7 8 8 9 9 9 8 8 9 9 9 9 9 9 9 8 7 7 7 7 7 7 7 8 9 10 10 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 8 8 9 10 10 9 9 8 8 8 8 8 7 7 7 8 8 9 9 9 9 9 10 10 12 13 14 15 15 14 13 11 8 6 5 4 5 5 5 5 6 6 7 7 6 5 5 4 5 6 7 nan
nan 16 16 15 14 12 11 10 9 10 10 10 9 9 8 8 9 10 11 11 11 11 11 11 11 10 10 9 9 9 8 8 8 8 8 7 7 7 8 8 9 9 9 8 8 8 8 9 10 10 11 11 11 11 12 13 16 19 20 19 17 14 12 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 9 6 5 5 5 5 5 5 6 6 7 7 7 8 8 8 9 8 8 9 9 9 9 9 9 8 8 7 7 7 7 7 7 6 6 8 9 10 9 9 9 9 8 9 9 9 9 8 8 8 8 7 7 7 8 8 8 8 9 10 10 9 9 8 8 8 8 8 8 7 7 8 8 8 8 9 9 9 9 10 11 13 13 14 14 14 13 13 11 10 9 8 7 7 6 6 6 6 7 8 7 7 6 5 5 6 6 nan
nan 16 15 15 13 12 11 10 9 10 10 10 10 9 8 8 10 11 11 11 11 12 12 12 12 11 10 10 9 9 8 8 8 8 8 7 7 8 8 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 11 13 16 18 18 16 13 12 11 11 12 11 11 10 10 10 10 10 10 10 10 11 11 10 8 6 5 6 7 7 6 6 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 8 8 9 9 9 9 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 7 7 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 9 10 11 11 11 11 12 12 13 13 12 12 11 10 9 8 8 8 8 8 9 9 8 7 6 5 6 nan
nan 15 15 13 12 11 10 9 9 10 10 10 10 9 9 9 9 10 11 11 12 12 12 12 12 11 10 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 10 12 13 14 13 12 11 11 11 11 11 11 11 11 11 11 11 10 11 12 13 12 10 8 6 6 6 7 7 7 7 8 8 9 9 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 7 7 7 8 7 7 7 8 8 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 8 8 9 9 10 11 12 12 12 11 11 11 11 10 10 9 9 10 11 10 9 7 6 6 nan
nan 15 14 12 10 10 9 9 9 9 9 9 9 9 8 8 9 9 10 10 11 11 12 11 11 10 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 8 8 9 8 8 9 9 9 9 8 8 8 8 8 8 9 10 10 10 10 10 11 12 12 13 12 12 13 13 12 11 11 13 14 14 12 9 7 6 6 7 7 7 7 7 8 9 9 9 8 8 7 7 8 8 8 8 7 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 7 7 7 8 9 9 9 10 10 10 9 8 8 8 7 8 8 8 8 8 7 7 8 9 10 10 10 10 9 9 8 8 8 7 7 7 6 6 5 5 6 7 8 9 9 10 10 10 10 11 11 10 10 9 9 10 11 11 10 8 7 6 nan
nan 14 12 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 9 9 9 8 8 8 9 9 9 10 10 10 9 9 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 7 8 9 9 9 9 9 10 12 13 13 13 13 13 12 11 11 11 12 13 11 9 7 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 7 7 7 7 7 8 9 10 10 9 9 8 8 8 9 9 8 8 8 7 7 7 7 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 7 8 9 10 10 10 10 10 9 9 9 8 8 8 7 7 6 6 6 6 7 7 8 8 8 8 8 8 9 9 8 8 8 8 10 10 10 9 8 7 7 nan
nan 13 11 9 8 9 9 9 9 9 8 8 7 7 7 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 10 10 10 9 8 7 7 7 7 8 9 9 9 9 9 8 8 8 9 9 9 9 8 8 7 7 8 8 8 8 8 9 10 11 12 12 12 12 11 10 10 10 10 9 7 6 5 5 6 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 7 6 6 6 6 7 7 6 6 7 7 8 9 10 10 9 8 8 8 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 10 10 11 11 11 10 8 7 7 8 9 10 10 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 9 9 9 8 8 8 8 nan
nan 11 10 10 9 10 10 10 10 9 8 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 8 8 8 8 9 9 9 9 10 10 9 7 7 6 6 7 8 9 10 10 10 10 9 9 9 9 9 9 9 8 8 8 7 7 7 6 7 7 9 10 10 11 10 9 9 9 9 8 7 5 4 3 4 5 7 9 9 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 8 7 6 6 6 6 6 6 6 6 6 7 8 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 7 7 7 8 8 9 9 9 10 10 10 10 11 11 10 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 10 10 9 9 9 9 8 nan
nan 10 10 10 10 11 11 10 10 9 8 7 7 7 7 8 7 7 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 9 10 9 8 7 6 6 6 8 10 11 12 12 12 12 11 11 10 10 9 9 9 9 8 8 7 7 6 7 8 9 9 8 8 7 6 7 8 8 7 4 2 2 3 5 6 8 9 9 8 7 7 7 7 7 7 7 7 8 8 8 8 9 9 8 6 5 4 5 5 6 7 7 6 6 7 8 9 9 8 8 8 7 7 8 7 7 7 7 7 7 8 8 8 8 8 7 8 8 8 9 9 10 10 9 9 9 9 10 9 8 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 11 12 12 11 10 10 10 10 9 nan
nan 9 9 9 10 10 10 10 9 9 9 8 8 8 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 8 8 9 9 8 7 6 6 6 7 9 10 11 12 12 13 13 12 11 11 10 10 9 9 8 8 8 7 7 8 9 9 8 7 6 5 5 6 8 8 6 3 1 2 4 6 7 8 9 8 7 6 6 7 7 7 7 7 7 8 8 8 8 9 10 9 7 5 4 5 6 8 8 8 8 7 7 8 9 9 9 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 8 8 8 9 9 9 10 10 10 9 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 11 12 13 13 12 11 11 10 9 9 nan
nan 10 10 10 9 9 9 9 9 10 10 9 10 10 10 10 9 9 9 9 8 8 8 8 7 8 8 8 8 8 8 8 7 7 8 8 8 8 7 7 7 7 8 9 10 10 11 11 12 13 13 12 12 11 11 10 9 9 8 8 8 8 8 8 8 7 6 6 5 5 7 9 10 7 3 2 4 5 7 7 8 8 8 7 6 7 7 8 8 8 8 8 9 8 8 9 10 11 9 7 6 7 7 8 8 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 7 8 7 7 8 8 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 7 8 8 8 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 11 11 11 11 10 10 11 11 11 12 12 13 12 11 10 9 9 8 8 nan
nan 12 12 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 8 7 7 8 9 9 10 10 10 11 11 12 12 12 12 12 12 12 11 10 9 9 8 8 7 6 5 5 6 6 6 7 8 10 11 8 4 4 5 6 6 7 8 9 8 7 7 7 8 8 8 8 9 10 10 9 10 11 11 11 9 7 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 8 8 8 8 7 8 8 8 8 8 9 10 10 9 9 9 9 10 10 11 10 10 10 10 10 10 9 9 9 8 8 7 7 7 7 8 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 12 13 11 10 9 8 8 7 7 nan
nan 14 14 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 8 8 7 7 7 7 7 7 7 7 8 8 9 9 8 8 8 8 9 10 10 10 10 10 11 11 11 11 12 12 12 12 12 11 10 9 8 7 6 4 3 4 6 8 8 8 9 10 9 8 6 7 7 7 7 7 8 9 8 7 7 7 8 8 9 9 9 10 10 10 11 12 12 10 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 10 10 9 9 9 10 10 10 10 9 9 10 10 10 10 9 9 8 8 7 6 5 6 7 8 9 9 9 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 12 13 12 10 9 8 8 7 7 nan
nan 14 14 13 12 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 10 9 8 5 3 3 4 7 8 8 8 8 8 8 8 9 10 10 10 8 7 8 8 8 7 7 7 8 8 9 9 9 10 11 12 13 13 11 9 8 9 9 9 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 9 8 8 8 8 8 8 7 7 7 8 10 10 10 9 9 9 9 10 9 9 9 8 9 9 10 9 9 9 8 8 7 6 5 5 6 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 11 10 9 8 8 8 nan
nan 13 12 11 10 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 11 9 7 5 4 5 7 8 8 7 7 8 8 9 10 12 13 12 10 8 8 8 8 9 9 7 7 8 9 10 10 10 11 13 14 12 10 9 8 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 6 6 7 9 10 10 9 9 8 9 9 9 9 8 8 8 9 9 9 9 9 8 7 7 6 6 6 6 7 8 8 9 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 10 10 9 9 10 11 11 12 11 11 10 9 9 9 nan
nan 10 9 8 7 7 7 7 7 7 8 8 8 8 7 6 6 6 7 7 7 7 8 8 8 8 8 8 9 9 9 9 10 10 11 11 11 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 11 12 12 13 13 12 11 9 8 7 6 7 7 7 7 7 8 9 9 10 12 13 13 11 9 8 8 9 10 10 8 8 10 10 10 9 10 12 13 13 11 9 8 8 8 7 7 6 7 7 7 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 6 6 7 8 9 9 9 8 8 9 9 9 8 8 8 8 8 9 9 9 9 8 8 7 7 6 7 7 7 7 8 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 11 10 9 9 nan
nan 8 7 6 6 6 6 7 7 7 8 8 8 8 7 6 6 6 6 6 7 7 7 7 7 7 8 8 9 9 10 10 10 11 11 11 11 11 10 10 9 8 8 7 7 8 8 8 9 9 9 9 9 10 10 10 11 12 12 13 13 13 12 11 10 8 8 7 7 7 8 9 10 10 10 11 12 12 10 9 8 8 9 10 11 11 11 12 11 9 8 9 12 13 12 10 9 8 7 7 6 6 6 7 7 7 7 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 7 8 9 9 8 8 9 9 9 8 8 8 7 7 7 7 8 9 9 9 8 8 7 6 6 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 nan
nan 8 7 6 6 6 6 6 6 6 7 7 8 8 8 7 7 6 6 6 6 6 6 6 6 6 7 8 9 9 10 10 11 11 11 11 10 10 10 10 9 8 8 7 8 8 8 9 9 9 10 10 10 10 10 10 11 11 12 13 13 13 13 12 12 11 10 9 9 9 9 10 11 11 10 10 11 11 10 9 8 7 8 10 12 12 12 11 9 8 7 10 12 12 12 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 9 9 8 7 7 8 7 7 7 7 8 8 9 9 8 7 6 6 7 7 8 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 nan
nan 8 7 7 6 6 6 5 5 5 5 6 7 8 8 9 9 8 8 8 8 7 7 6 6 7 7 8 9 10 10 10 11 11 10 10 10 10 10 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 11 11 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 10 9 7 7 8 10 11 11 10 9 8 7 8 10 11 11 11 10 10 9 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 9 9 9 9 9 9 8 8 7 7 8 9 9 8 8 9 9 9 9 9 8 7 7 8 8 8 8 7 7 8 8 9 9 8 7 7 8 8 9 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 nan
nan 7 6 6 6 6 6 5 5 5 5 6 7 8 9 9 10 10 9 9 9 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 9 9 9 9 10 10 10 10 10 10 10 11 11 12 12 12 13 13 13 13 14 13 13 13 13 14 14 14 13 12 11 11 11 10 8 7 8 10 11 11 11 10 9 9 9 10 10 10 10 10 10 10 9 8 8 8 8 7 7 7 7 7 8 8 9 9 10 10 11 10 10 10 9 9 9 9 9 8 8 7 8 8 9 9 9 8 8 9 9 9 8 8 7 7 7 8 8 8 7 7 7 7 8 8 8 8 9 8 8 8 8 9 9 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 nan
nan 6 5 6 6 6 6 5 5 5 6 6 7 7 8 9 9 10 9 9 9 9 10 10 10 9 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 12 12 13 13 14 14 14 14 14 15 15 15 14 13 12 12 11 10 7 7 9 11 13 12 11 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 7 7 7 8 8 8 9 9 10 10 11 11 11 10 9 9 9 9 9 9 8 8 7 8 9 9 9 9 9 9 9 9 8 8 7 6 5 6 6 6 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 9 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 nan
nan 5 5 5 6 6 6 5 5 5 6 6 6 7 7 7 7 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 9 9 9 9 9 8 8 9 9 9 9 10 10 10 10 10 10 10 10 11 12 13 14 14 14 14 14 14 15 15 15 14 14 13 13 12 10 9 9 11 12 14 13 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 7 7 7 7 8 8 9 9 9 9 9 10 10 10 10 9 9 9 9 9 8 8 7 7 8 9 9 9 9 9 10 9 9 8 7 6 5 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
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nan 9 9 9 10 10 10 10 10 9 9 9 10 10 10 11 11 12 12 12 12 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 11 12 12 13 14 14 14 14 14 14 14 13 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 9 9 8 8 9 12 17 20 20 17 13 11 10 10 9 9 8 5 1 -2 1 5 8 9 9 9 11 13 13 12 11 10 9 9 8 8 9 10 11 11 11 11 10 9 8 8 8 9 9 10 10 11 12 13 13 12 11 10 9 8 6 5 5 6 7 8 8 9 9 9 9 10 10 10 10 10 10 nan
nan 10 10 10 10 10 10 10 9 9 9 10 10 11 11 12 13 13 13 12 11 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 11 11 11 12 13 13 14 14 14 14 14 14 13 13 12 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 8 8 11 15 20 21 19 14 11 10 10 10 9 8 4 -1 -3 -1 2 6 8 9 9 10 11 11 11 11 10 10 9 8 8 8 9 10 10 10 11 10 8 6 5 5 6 7 8 9 10 12 13 13 12 11 10 10 9 7 6 6 7 7 8 8 9 9 9 10 10 10 10 10 10 10 nan
nan 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 14 13 12 11 10 9 8 8 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 8 8 8 8 7 7 7 8 8 9 10 10 10 10 10 10 10 11 10 10 10 10 10 10 9 10 10 10 11 11 12 12 13 14 14 14 14 14 14 14 13 12 12 12 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 10 10 9 9 8 8 10 14 19 22 20 16 12 10 10 10 9 9 5 -1 -4 -4 -1 4 8 10 10 10 9 9 9 9 9 9 10 9 9 8 8 9 10 11 12 12 10 8 5 2 2 4 5 7 9 11 12 12 11 11 11 10 9 7 6 6 7 8 8 9 9 9 9 10 10 10 10 11 11 11 nan
nan 10 10 10 10 10 10 10 10 11 11 11 12 13 13 13 12 11 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 9 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 9 9 10 10 11 11 12 12 13 13 14 14 14 14 14 14 13 13 13 12 12 12 12 12 11 11 11 12 12 13 12 12 11 11 12 12 11 11 10 10 10 9 8 8 9 12 17 21 21 17 14 11 10 10 10 10 7 1 -3 -5 -2 4 8 10 11 11 10 8 7 6 6 8 9 10 9 8 8 9 11 12 14 14 13 12 8 3 1 1 2 4 6 8 10 11 11 11 10 10 9 7 6 6 7 8 8 9 9 9 9 10 10 10 10 10 11 11 nan
nan 10 10 10 10 10 11 11 12 12 12 12 12 12 11 10 9 9 8 8 8 8 8 8 8 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 9 9 10 10 11 11 12 12 12 13 13 14 14 14 14 14 14 13 13 13 13 13 13 13 12 11 11 11 12 12 13 12 11 11 11 11 11 11 11 10 10 9 9 8 8 10 15 20 21 19 15 12 10 10 11 10 8 3 -2 -6 -3 4 8 11 12 12 11 9 7 5 4 5 7 9 9 8 9 10 12 13 14 15 15 16 13 8 5 3 1 2 4 6 7 9 10 10 10 10 9 7 6 5 6 7 8 9 9 9 9 10 10 10 10 9 9 9 nan
nan 9 10 10 10 11 12 12 13 13 12 11 10 9 9 8 8 7 7 7 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 10 10 10 11 12 12 12 12 13 13 14 14 14 14 14 14 14 13 12 12 13 14 14 13 12 11 10 11 12 12 12 11 11 11 11 11 11 11 11 10 10 9 9 8 9 13 18 20 20 17 13 11 11 11 11 10 5 -2 -6 -5 1 7 10 11 11 11 10 9 6 4 4 5 7 7 8 9 10 12 13 13 14 15 17 18 16 14 9 6 4 5 5 6 7 8 9 9 9 8 7 5 4 5 6 7 9 9 9 10 10 10 9 9 9 8 8 nan
nan 9 9 10 11 12 12 13 12 12 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 9 9 8 7 7 7 7 8 9 10 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 12 13 13 13 13 14 14 14 14 14 14 14 13 12 11 11 12 13 14 13 11 10 10 11 12 12 11 11 11 11 12 12 11 11 11 10 10 9 9 10 12 16 20 21 18 13 11 10 10 11 10 7 0 -5 -6 -2 4 8 10 10 11 11 10 8 7 6 6 6 7 7 9 10 11 12 13 14 15 17 19 21 21 17 12 9 8 7 7 8 8 9 9 9 9 7 5 4 3 4 6 8 9 9 9 9 9 9 9 9 8 8 nan
nan 9 9 10 11 12 12 12 11 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 8 7 6 7 8 9 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 11 11 11 11 12 12 13 13 13 13 14 14 14 14 13 13 13 13 12 11 11 10 11 12 13 12 11 10 10 10 11 12 11 11 11 11 12 12 12 12 11 11 10 10 10 10 12 15 19 21 19 15 12 11 10 11 11 8 3 -3 -6 -4 1 6 8 9 9 9 10 9 9 9 9 8 8 8 9 10 11 12 13 13 14 15 18 21 23 22 18 14 11 9 9 9 9 9 9 10 9 9 7 5 3 3 5 7 8 8 8 9 9 9 9 9 9 9 nan
nan 9 10 10 11 11 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 9 9 8 7 7 7 8 9 10 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 12 12 13 13 13 14 14 14 13 13 13 13 13 12 11 11 11 10 11 11 11 11 10 10 10 11 11 11 11 11 12 12 12 12 12 12 11 11 10 10 10 12 15 19 21 20 17 13 11 10 11 11 10 7 1 -4 -4 0 5 8 8 8 8 8 9 9 10 10 10 10 9 9 10 10 11 12 12 12 12 14 18 21 22 20 17 14 11 11 10 10 10 10 10 10 10 8 6 4 3 4 6 7 8 8 7 8 8 8 9 9 9 nan
nan 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 9 10 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 13 13 14 14 13 13 14 14 14 13 13 12 12 11 11 10 10 10 10 10 11 11 11 11 11 11 12 13 13 13 13 12 12 11 10 9 9 10 12 16 20 21 19 15 12 10 11 11 11 9 3 -3 -4 -1 6 9 9 7 6 7 8 8 8 9 10 10 10 10 9 9 10 11 11 12 12 13 15 18 20 19 17 15 13 12 11 11 10 10 10 10 10 9 7 4 3 3 6 8 8 7 7 7 8 8 8 8 8 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 12 12 12 12 13 12 12 12 11 11 11 10 10 10 11 11 12 13 13 14 14 14 14 13 13 13 13 13 12 12 12 11 11 10 11 11 11 11 11 11 10 11 12 12 13 13 13 13 12 12 11 10 10 9 9 12 16 19 20 17 14 12 11 10 11 10 5 -2 -4 -2 5 10 10 8 7 7 7 6 6 7 8 9 9 10 10 10 10 10 11 11 12 13 15 17 19 18 16 14 13 12 12 11 11 10 10 10 10 10 8 5 3 3 6 9 9 8 7 7 8 8 7 6 7 nan
nan 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 10 10 10 10 10 10 11 12 12 13 13 14 14 14 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 11 11 12 13 13 14 14 13 12 13 13 12 10 10 11 14 17 18 17 14 12 10 11 10 5 -1 -5 -5 1 7 10 10 9 8 6 6 6 6 6 7 8 9 10 10 11 11 11 10 10 11 14 17 18 17 15 14 13 12 12 11 11 11 11 10 10 10 9 6 3 3 6 9 10 9 8 7 8 7 5 4 4 nan
nan 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 10 9 9 9 9 10 10 10 10 10 11 12 13 13 15 15 15 14 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 11 12 13 14 14 14 13 14 15 16 15 13 10 9 12 16 19 18 15 11 11 11 7 2 -3 -6 -3 3 7 10 10 7 6 7 7 7 5 5 7 8 10 10 11 12 12 11 11 12 14 17 17 16 14 13 13 12 12 11 11 11 11 11 10 10 9 8 6 6 6 8 8 9 8 8 8 7 4 2 2 nan
nan 9 9 9 9 10 10 9 9 8 8 7 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 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 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 11 11 11 12 13 14 15 15 15 15 14 13 13 13 13 13 13 13 13 13 13 13 13 12 12 11 10 9 9 9 9 10 12 13 14 15 14 13 14 16 19 19 13 7 8 12 18 20 17 14 12 11 9 6 1 -3 -3 0 4 7 6 5 5 7 8 8 7 7 7 9 10 11 11 12 13 12 12 14 16 18 17 15 13 13 12 12 11 11 11 11 11 11 10 9 8 9 10 11 10 9 8 8 8 8 8 7 5 2 2 nan
nan 8 9 9 9 9 9 9 8 8 7 7 7 8 8 8 8 8 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 10 10 9 9 9 9 10 11 11 11 11 11 11 11 11 12 13 13 14 15 15 15 15 14 14 13 13 14 14 14 14 14 14 14 14 14 13 12 11 10 9 9 9 9 10 12 13 15 14 13 13 15 20 22 17 10 7 8 14 18 17 15 12 11 10 8 6 2 0 1 3 4 2 1 2 4 6 7 8 9 9 10 10 11 12 13 12 12 11 13 17 18 17 15 13 12 12 12 12 11 11 11 11 11 9 7 5 7 11 13 13 11 9 9 9 9 9 7 5 3 3 nan
nan 9 9 9 9 9 9 8 8 7 7 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 12 12 12 12 11 11 11 11 12 12 13 13 14 14 14 14 14 13 13 12 13 13 14 14 13 13 14 14 14 14 14 13 12 11 10 9 9 9 11 12 13 14 13 13 14 19 23 21 16 11 8 10 13 14 14 12 11 10 9 8 6 4 4 4 2 0 -1 -0 1 2 4 6 8 9 10 11 12 13 14 13 11 10 11 14 15 16 15 13 13 12 12 12 12 12 12 12 11 9 6 3 4 8 10 12 11 10 10 10 9 9 8 6 4 5 nan
nan 9 10 10 10 9 8 8 7 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 12 13 14 14 15 15 15 14 14 12 11 11 12 12 12 12 12 12 13 13 14 13 13 12 12 11 10 9 9 10 11 12 13 13 13 13 16 20 21 22 20 15 12 11 11 12 12 11 11 10 9 8 7 6 6 4 2 -0 -2 -2 -1 2 4 5 7 9 10 11 13 14 14 13 11 10 11 12 13 13 13 12 12 12 12 12 12 13 14 14 12 9 6 5 7 8 10 10 10 10 10 10 9 9 8 7 8 nan
nan 9 10 10 10 9 9 8 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 7 7 8 8 9 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 11 11 11 10 10 11 11 12 13 12 12 12 11 11 11 12 13 14 15 16 16 16 16 16 15 13 12 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 10 10 10 10 10 11 11 12 12 12 13 15 18 23 25 23 18 16 14 13 12 12 12 11 10 10 9 8 7 6 5 2 -2 -5 -3 0 3 5 6 6 7 8 9 11 13 13 12 10 10 9 10 11 11 11 12 12 11 11 12 14 17 19 19 16 13 11 9 8 9 10 10 10 10 10 9 9 9 9 10 nan
nan 10 10 10 10 10 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 9 10 10 10 10 9 9 9 8 8 8 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 11 11 11 12 12 13 13 13 13 13 13 13 13 13 14 15 15 15 15 16 16 15 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 11 11 12 15 21 25 27 25 23 21 20 18 17 17 15 13 11 11 10 9 8 8 5 -0 -5 -5 -3 1 5 6 6 5 5 6 8 10 11 11 10 9 9 9 10 10 11 12 12 12 12 13 14 18 20 22 22 20 17 13 10 9 9 9 9 9 9 9 9 9 9 10 nan
nan 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 10 10 9 9 9 9 9 10 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 13 13 12 12 11 12 13 13 14 15 16 16 16 15 14 14 14 14 13 13 12 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 11 10 10 10 11 11 11 11 11 11 11 13 17 21 24 26 26 26 25 25 24 24 22 18 15 14 13 12 11 10 9 4 -1 -4 -6 -1 6 8 8 7 6 6 7 8 9 10 11 11 10 9 9 11 12 14 14 14 13 13 13 14 17 19 21 22 20 17 13 12 10 9 7 7 8 9 9 9 9 9 nan
nan 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 10 9 9 9 9 9 9 9 10 9 9 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 11 11 11 11 11 12 12 13 13 13 12 12 12 12 13 14 15 16 16 16 16 15 15 15 14 13 12 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 13 16 18 20 22 23 23 24 26 29 27 24 22 21 21 19 16 14 12 9 6 3 1 3 9 12 13 13 11 10 9 9 10 12 14 15 13 10 9 10 12 13 12 12 11 11 10 10 12 14 18 20 20 19 17 15 13 11 9 8 8 9 10 9 9 9 nan
nan 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 12 13 13 13 12 12 12 12 12 12 12 13 13 14 14 14 13 13 13 14 13 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 15 17 17 17 19 23 27 28 26 25 25 26 27 25 21 17 15 13 12 11 12 14 16 18 18 18 16 14 12 12 14 16 17 14 10 7 8 9 9 8 8 8 8 8 9 10 13 17 19 21 20 19 18 16 14 12 10 10 10 10 10 9 8 nan
nan 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 12 13 14 14 13 12 12 12 13 13 12 11 12 13 13 13 12 11 12 12 12 12 11 11 11 10 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 13 13 13 14 15 18 21 22 22 21 22 24 26 26 25 21 18 15 14 14 15 16 17 18 18 19 18 17 16 15 15 17 17 14 9 7 7 10 10 10 9 9 10 10 10 11 13 16 17 18 19 18 17 15 14 12 12 11 11 10 10 10 9 nan
nan 9 9 9 10 10 10 10 10 10 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 12 12 12 13 13 14 14 12 11 12 14 14 14 12 11 12 13 13 13 12 12 12 12 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 12 12 12 11 10 10 10 9 10 10 11 11 11 11 11 11 12 12 12 12 13 15 15 15 15 16 17 18 19 19 18 16 14 13 13 13 14 14 15 15 15 16 18 18 17 17 18 19 16 11 9 10 13 15 15 15 14 13 12 12 12 13 14 14 15 15 15 14 13 13 12 12 11 11 11 11 11 11 nan
nan 10 9 9 9 10 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 10 9 9 10 10 10 10 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 12 13 13 14 14 14 14 11 9 9 11 13 13 12 10 10 12 13 13 13 12 12 11 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 11 11 12 12 12 12 11 10 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 11 11 12 12 12 12 12 13 13 13 13 13 13 12 12 12 13 13 13 13 13 14 16 18 17 16 17 18 16 14 12 12 13 15 15 15 14 13 12 12 12 12 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 12 nan
nan 10 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 12 13 13 14 14 13 11 8 7 8 9 10 10 9 8 9 11 13 13 13 11 10 9 9 9 9 10 10 10 10 9 9 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 12 13 13 12 12 11 10 9 9 9 9 10 10 11 11 11 10 9 8 6 6 6 7 8 9 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 14 14 14 14 14 13 13 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 nan
nan 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 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 10 10 10 10 11 11 12 12 13 13 12 10 9 9 9 9 10 9 9 9 11 13 14 14 12 10 8 8 7 7 7 8 9 9 10 10 10 9 8 7 5 4 3 3 3 5 7 9 9 10 10 11 11 12 13 13 13 13 13 12 11 10 9 9 9 10 10 12 12 13 12 11 9 7 4 2 1 2 3 5 6 7 9 9 9 9 9 10 11 13 13 12 10 8 7 8 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 11 11 10 11 nan
nan 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 14 14 13 12 11 11 11 11 12 13 13 12 12 13 15 15 13 11 9 8 7 7 7 6 6 6 6 7 8 9 9 8 6 3 0 -1 -2 -2 -2 -1 2 4 6 7 9 11 12 13 14 13 13 13 12 11 11 10 9 9 9 11 13 15 16 15 14 12 9 6 3 -1 -2 -2 -1 1 3 6 7 7 6 6 7 9 13 16 13 9 4 1 2 6 8 9 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 9 9 9 10 10 11 11 12 12 12 12 11 11 11 11 11 10 10 10 10 nan
nan 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 13 15 15 16 15 15 13 12 12 11 12 13 14 15 15 14 14 14 15 13 12 10 9 10 11 11 11 9 6 3 1 1 3 4 5 6 5 3 2 1 0 -1 -3 -5 -6 -4 -3 -1 1 4 7 10 11 12 13 13 12 10 8 7 6 5 6 8 12 16 19 19 17 14 12 9 7 3 -0 -2 -2 -2 -0 3 5 6 4 3 4 7 12 16 13 8 1 -3 -1 3 7 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 9 9 9 10 10 10 11 11 11 11 12 11 11 11 11 11 10 10 10 10 10 nan
nan 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 12 13 14 15 16 16 15 14 14 13 12 11 11 12 13 14 14 14 13 13 13 12 11 10 10 11 13 15 15 15 13 11 8 6 4 3 2 1 0 0 2 4 6 6 6 4 1 -3 -6 -7 -8 -6 -4 -2 1 5 8 11 12 12 9 6 3 -1 -1 1 4 8 13 17 18 16 14 12 11 9 7 5 3 1 0 1 4 6 7 6 4 4 6 10 13 11 7 1 -1 1 4 7 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 nan
nan 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 12 12 13 13 13 14 15 15 16 15 14 13 12 12 12 11 11 11 11 11 12 11 11 11 11 11 11 10 10 11 12 13 14 15 15 16 16 17 17 15 11 7 3 1 1 3 6 9 11 12 11 10 7 4 1 -2 -3 -4 -5 -5 -3 1 6 10 12 12 9 5 1 -1 -0 2 6 10 12 13 13 12 12 11 10 9 8 7 5 4 5 6 8 9 9 8 7 7 9 9 7 4 2 3 5 7 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 12 12 12 12 12 11 11 10 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
131 97 82 76 84 120 156 185 203 211 207 187 155 123 94 72 58 54 51 48 50 55 62 71 87 114 154 220 287 388 506 595 635 663 602 508 426 371 341 334 344 429 526 604 657 698 750 819 877 854 786 684 626 657 724 735 711 653 594 543 474 360 230 119 47 12 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 5 6 6 4 2 1 3 3 3 3 4 6 8 9 8 5 3 1 0 0 0
113 83 56 32 17 25 59 105 150 184 204 201 163 123 92 70 55 47 43 41 43 47 52 59 71 94 127 197 270 348 416 461 475 445 372 325 300 286 281 300 381 452 516 584 658 731 792 828 886 879 879 862 839 831 831 854 777 623 495 411 355 311 266 152 63 15 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 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 4 4 1 0 1 2 3 3 4 5 6 6 5 2 1 0 0 0 0 0
140 99 58 25 7 7 17 33 59 96 138 169 172 145 109 80 60 48 43 40 39 41 43 45 55 83 117 183 252 307 336 342 331 302 258 216 226 248 263 307 456 547 590 652 751 849 898 888 871 861 887 938 1003 1069 1110 1071 939 723 543 431 390 382 278 151 62 15 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 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 1 1 1 3 4 5 5 5 6 6 4 2 1 0 0 0 0 0 0
155 128 90 50 20 8 4 2 6 19 42 66 112 135 127 104 82 70 63 59 57 57 57 59 68 96 138 195 246 274 276 259 240 237 246 208 222 254 285 346 482 598 653 696 771 839 850 820 767 747 759 812 894 987 1071 1102 1038 885 698 541 430 327 191 91 39 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 1 0 0 2 5 6 5 5 5 6 5 3 1 0 0 0 0 0 0 0
113 123 111 83 49 26 15 7 2 0 1 6 23 44 76 103 114 110 102 90 83 82 86 95 113 140 175 213 237 239 221 189 164 177 217 218 260 308 345 389 473 570 645 659 691 738 751 706 660 646 654 687 740 806 867 907 903 869 764 626 470 280 99 33 15 5 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 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 0 1 4 6 7 6 5 5 6 4 2 0 0 0 0 0 0 0 0
55 78 92 88 72 55 31 17 7 2 1 0 0 7 23 56 93 119 131 138 135 129 126 131 146 169 192 209 215 205 185 160 144 166 205 231 297 364 403 422 465 533 626 635 630 643 651 625 596 590 598 633 693 754 785 804 788 728 618 471 301 134 34 9 3 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 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 8 7 6 5 6 5 4 1 0 0 0 0 0 0 0 0
25 40 61 81 94 103 87 55 25 9 5 3 3 3 1 4 17 41 73 112 133 160 185 201 203 197 199 210 210 195 179 170 175 201 229 262 318 377 419 442 469 513 605 625 603 582 580 577 565 569 573 583 591 572 515 487 470 411 302 186 93 26 2 0 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 5 8 9 8 6 6 7 6 3 1 0 0 0 0 0 0 0 0
25 29 48 75 100 120 147 122 71 32 19 21 30 28 7 3 1 0 5 22 49 69 88 111 132 145 152 167 168 178 200 218 224 229 253 285 324 363 391 412 439 478 547 571 555 531 525 535 537 552 535 462 352 233 125 79 98 95 63 29 11 2 0 0 1 1 1 2 2 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 0 0 0 0 0 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 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 2 6 9 10 10 7 7 8 7 3 1 0 0 0 0 0 0 0 0
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