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 5 5 6 6 7 6 4 1 -1 -1 -1 -1 0 1 0 -1 0 4 9 11 11 11 13 16 17 15 12 10 8 8 9 10 11 10 9 8 7 6 5 5 6 7 8 9 8 7 7 7 7 8 9 9 9 8 8 8 8 9 9 8 8 8 7 6 6 6 6 7 8 8 8 8 8 8 8 9 9 8 8 9 10 11 12 12 12 11 11 11 11 10 9 8 8 8 8 8 8 9 10 9 9 9 8 8 8 7 7 7 8 9 9 10 10 10 10 11 11 10 10 10 10 10 10 9 9 9 8 7 7 7 7 7 7 7 7 7 8 9 9 9 8 9 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 8 7 6 6 6 6 7 8 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 nan
nan 8 7 6 5 5 5 4 2 1 1 1 2 1 -1 -3 -3 -1 2 5 7 8 9 12 15 17 16 13 12 10 10 10 10 11 11 10 8 8 7 6 5 5 6 8 9 8 7 7 8 9 10 11 11 12 12 12 11 10 9 9 8 8 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 7 8 10 11 12 12 11 10 10 10 10 9 8 8 8 8 8 8 9 10 10 9 9 9 9 8 8 7 8 8 9 10 10 10 11 12 12 11 11 10 10 10 10 10 10 9 9 8 8 8 7 7 7 7 7 7 8 9 9 9 9 9 10 11 11 11 11 10 10 10 10 10 10 10 9 8 7 6 7 8 9 9 8 7 7 7 7 7 7 8 9 8 8 8 8 8 7 8 8 8 8 7 7 8 9 10 nan
nan 10 9 6 4 4 4 3 2 2 3 5 7 6 3 -0 -2 -1 1 3 5 6 8 11 15 17 17 16 15 13 11 10 9 10 10 9 8 8 7 7 5 4 4 6 7 8 8 8 9 9 10 11 12 12 13 13 12 11 10 9 9 7 7 6 6 6 6 7 7 8 8 7 7 7 7 6 5 5 5 4 5 6 8 10 11 11 11 10 9 9 8 8 7 7 8 8 8 8 9 10 10 10 10 10 10 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 7 8 7 7 7 7 7 7 8 9 9 9 9 8 8 9 10 11 11 11 10 11 11 10 10 11 11 10 9 6 5 5 6 7 8 8 8 9 8 8 8 8 8 9 9 8 8 8 8 7 8 9 9 8 8 7 8 8 9 nan
nan 12 11 8 5 5 4 3 2 2 4 7 9 9 8 5 3 2 3 4 5 7 9 12 15 17 19 19 18 15 12 10 8 8 9 9 9 8 8 7 4 3 3 5 7 9 10 10 10 10 10 10 10 11 12 12 12 11 11 10 9 8 7 7 7 7 7 8 9 9 8 8 8 8 8 7 5 5 5 5 5 6 7 9 10 10 9 9 8 8 7 7 7 7 7 8 8 9 9 9 10 11 11 11 10 9 8 8 9 10 10 10 10 9 9 8 8 8 8 8 9 8 8 7 7 7 7 8 8 8 7 7 7 7 8 8 9 9 10 9 9 8 8 9 10 10 10 9 9 9 9 9 9 10 10 10 7 6 5 5 6 8 9 10 10 10 9 9 8 8 9 9 9 9 8 8 8 8 8 9 9 9 7 7 8 9 nan
nan 11 12 10 7 6 5 4 3 3 5 7 9 9 9 9 8 7 7 6 7 8 10 12 15 18 20 21 19 16 12 9 8 8 10 10 10 9 8 6 3 2 5 7 9 10 11 11 11 11 11 10 10 10 10 12 12 11 10 10 9 8 8 8 8 8 9 9 10 9 9 9 8 8 8 7 5 5 6 6 7 7 7 8 7 7 8 7 7 7 6 6 7 7 8 9 9 8 9 9 10 11 12 12 11 10 9 9 9 10 11 11 10 9 8 7 6 6 6 6 7 8 8 8 7 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 9 9 8 8 7 7 7 7 8 9 9 9 8 7 6 6 7 9 10 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 9 10 9 8 8 8 9 nan
nan 11 11 10 9 7 6 4 4 5 6 8 8 9 9 9 9 9 9 9 9 9 10 12 15 17 19 20 19 16 12 10 9 10 11 12 11 9 7 4 2 4 8 10 10 10 10 11 12 12 11 11 10 10 11 11 11 10 9 9 9 8 8 9 9 9 9 9 9 10 9 8 8 7 7 6 4 4 4 6 6 7 7 7 6 6 6 6 6 6 6 7 7 8 9 9 9 9 8 9 10 10 11 11 11 10 9 10 10 10 11 11 11 10 9 8 7 6 6 7 7 7 7 7 8 8 8 9 9 9 8 8 8 9 9 9 9 8 7 7 7 8 9 9 9 10 10 9 9 9 8 8 8 8 8 9 9 9 9 7 5 5 6 8 10 11 11 11 10 9 8 7 7 7 7 8 8 8 8 9 9 9 8 8 8 9 nan
nan 9 10 10 9 8 6 5 5 6 7 8 9 9 9 9 9 9 10 10 10 10 11 12 13 15 17 18 19 16 13 11 11 12 12 12 10 9 6 4 4 8 11 11 10 10 11 12 13 12 11 10 10 10 10 9 9 8 8 8 9 9 9 10 10 10 9 8 8 9 8 7 6 5 5 5 4 4 4 5 5 6 6 6 6 6 7 7 8 8 8 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 8 8 8 7 7 7 7 7 7 8 9 9 8 7 7 7 7 8 8 8 8 7 6 6 7 8 8 9 10 11 11 11 11 11 11 10 9 9 9 10 10 10 9 7 4 3 4 6 9 11 12 12 11 10 9 8 6 6 6 7 8 9 9 8 9 9 8 9 9 9 nan
nan 8 8 9 9 8 7 6 7 8 8 9 9 9 10 10 10 10 11 11 11 11 11 11 12 12 14 17 19 18 15 13 12 13 12 11 10 8 7 6 7 9 10 10 11 11 13 14 13 10 8 7 7 7 6 6 6 6 7 8 8 8 9 10 10 9 8 7 7 7 6 5 4 4 4 5 5 5 5 5 5 5 5 6 6 8 9 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 10 10 11 11 10 10 9 9 8 8 7 7 7 7 7 8 9 9 8 7 7 7 8 8 8 8 8 8 7 6 6 7 7 8 8 10 11 12 12 12 12 11 11 11 11 12 12 11 10 8 6 4 4 5 8 10 11 11 11 11 10 10 9 8 7 6 7 8 9 9 8 7 7 8 9 9 9 nan
nan 7 8 9 9 8 7 8 8 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 13 16 19 20 18 15 13 13 13 12 10 9 8 8 9 9 10 10 12 13 13 12 10 7 6 5 4 4 4 4 5 5 6 6 6 6 7 8 8 7 7 7 6 5 5 4 4 4 4 5 6 6 6 6 6 6 6 7 8 9 10 10 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 11 11 11 11 10 10 10 10 9 9 8 8 7 8 8 9 9 10 10 10 9 8 8 9 9 10 10 10 10 9 8 6 6 7 8 8 8 9 10 11 11 11 11 11 12 12 13 14 13 12 10 7 6 5 6 8 10 11 10 9 8 9 10 10 10 10 10 9 8 9 9 9 8 7 7 8 9 9 9 nan
nan 8 9 10 11 11 10 10 10 9 9 9 9 9 10 11 11 11 11 10 10 10 10 10 11 12 13 16 20 21 20 18 15 15 14 12 11 10 10 10 11 11 11 11 12 12 11 9 8 6 5 4 4 5 6 6 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 8 8 9 10 10 10 10 11 11 12 12 12 12 12 13 12 12 12 12 12 12 12 12 12 12 12 12 12 13 12 11 11 10 10 10 9 9 8 8 9 10 11 11 11 11 11 11 11 11 10 10 11 12 13 11 9 7 7 7 8 8 8 8 8 9 10 10 11 11 11 12 13 14 13 11 9 8 7 7 8 9 10 10 8 6 6 7 8 9 10 10 11 10 10 10 10 10 9 8 8 8 9 8 8 nan
nan 10 10 11 12 13 12 11 11 10 9 9 9 9 10 10 11 11 11 10 9 9 10 11 12 13 15 17 21 23 23 21 18 16 13 12 11 11 11 12 12 12 12 11 10 9 8 8 7 6 6 7 8 9 10 10 9 9 8 7 6 6 6 5 5 4 4 4 4 5 6 7 8 9 9 9 8 7 7 7 7 7 7 8 8 9 9 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 14 14 14 15 15 14 13 12 12 11 11 10 10 9 9 9 10 11 12 12 12 13 13 12 10 10 11 13 14 12 10 8 8 8 8 8 7 7 8 8 9 9 10 10 10 10 11 12 12 11 9 8 8 8 8 9 9 9 7 6 6 7 7 8 8 9 10 11 11 10 10 11 10 9 9 9 9 8 7 nan
nan 10 10 10 11 11 11 11 11 11 10 9 9 9 9 10 10 10 10 10 9 10 10 11 12 14 16 18 21 23 24 23 19 15 12 12 12 12 11 11 11 11 11 10 9 9 8 8 8 7 7 8 9 10 10 10 10 9 8 7 6 6 6 5 4 4 3 4 5 6 9 10 11 11 11 10 8 7 7 7 8 8 7 7 7 8 8 9 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 13 13 14 14 14 15 16 16 15 14 13 12 12 12 11 10 9 8 8 8 10 11 12 12 13 13 12 11 10 11 13 13 13 12 10 8 7 7 7 7 7 8 8 8 8 9 9 9 9 10 10 10 10 9 8 8 8 8 8 8 8 8 7 7 7 8 7 7 8 9 10 10 10 10 11 11 11 11 11 10 8 6 nan
nan 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 11 12 14 15 17 18 20 22 23 21 17 13 11 11 12 12 11 10 9 8 8 8 8 9 10 9 9 8 8 9 9 9 9 8 8 7 7 6 6 7 6 6 5 5 5 5 7 10 12 13 12 11 10 9 8 8 8 9 9 9 8 7 6 6 7 8 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 13 13 13 13 13 14 15 16 16 15 13 12 12 12 11 10 9 8 7 7 8 10 11 11 11 12 12 12 12 12 13 14 15 14 12 9 7 6 6 7 8 8 8 8 8 8 8 9 9 10 10 11 10 10 9 9 8 8 7 7 8 8 8 8 8 8 8 8 9 9 9 8 9 11 12 12 13 12 12 10 8 7 nan
nan 6 7 7 8 8 8 8 8 8 8 9 9 9 8 9 9 9 9 9 9 10 12 13 15 16 17 18 19 20 19 17 13 11 11 11 12 11 10 9 8 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 7 7 6 7 7 7 7 8 8 7 7 9 11 13 13 11 10 9 8 8 8 9 9 10 11 11 9 7 6 5 5 7 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 13 14 14 14 12 10 10 10 9 9 8 8 6 6 7 8 9 10 10 11 11 11 12 12 13 14 15 16 13 9 7 6 7 8 9 10 9 8 8 8 8 8 9 9 10 11 11 11 11 10 9 8 7 7 8 7 7 7 7 8 8 8 9 9 8 7 9 11 12 13 13 12 11 10 9 9 nan
nan 6 6 7 7 8 8 7 7 7 8 8 8 8 8 9 9 10 10 10 11 12 13 14 16 17 17 17 18 17 15 13 11 10 10 11 12 11 10 9 9 9 9 9 9 9 8 9 8 8 8 8 8 8 7 7 7 7 6 6 7 7 7 8 8 9 9 10 10 9 8 7 7 7 8 8 9 9 10 11 12 11 10 9 7 6 5 6 8 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 10 10 8 8 8 8 9 10 9 8 7 6 7 9 10 10 9 9 9 10 10 10 11 13 14 12 9 8 7 8 10 11 10 9 8 7 7 8 8 8 8 8 9 10 11 11 10 9 8 7 7 7 7 7 7 7 7 7 7 8 9 9 8 9 10 11 12 12 12 11 11 11 11 nan
nan 6 6 6 7 7 7 8 8 8 8 8 8 8 8 9 10 10 11 11 12 13 14 15 15 16 16 16 16 15 13 11 9 9 10 11 11 11 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 8 8 7 7 7 6 6 6 7 7 8 9 9 9 8 6 4 4 5 6 7 7 7 8 9 10 10 10 11 11 11 10 8 7 6 7 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 12 11 11 10 9 8 8 8 8 8 9 11 12 12 11 10 9 9 9 10 10 10 9 9 9 9 8 8 9 10 10 10 9 9 10 11 11 10 8 6 6 7 8 8 7 7 8 8 8 9 10 10 9 9 8 7 7 7 7 7 7 6 5 6 7 8 9 9 9 9 10 11 11 11 11 11 11 11 nan
nan 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 10 11 11 12 13 13 14 14 14 14 14 14 14 13 12 10 10 9 10 11 11 10 10 9 8 7 7 7 7 8 9 9 9 10 11 11 11 10 10 9 8 7 6 7 7 8 8 9 9 9 8 7 5 5 5 6 7 7 7 7 8 8 8 8 8 9 10 11 11 10 8 6 6 7 8 8 9 9 9 9 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 9 11 13 13 13 13 13 12 11 11 11 11 11 11 10 9 8 8 8 8 9 9 9 9 10 9 8 7 6 5 5 7 7 8 8 8 8 8 9 9 10 10 10 10 9 8 7 7 8 7 6 5 5 5 6 7 8 9 9 9 9 9 10 11 11 11 10 10 nan
nan 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 10 11 12 12 13 13 14 14 14 14 13 13 13 12 12 11 11 11 10 10 10 10 9 8 7 6 7 7 9 10 11 12 12 13 13 13 13 13 12 11 10 9 9 9 9 10 10 10 9 8 8 7 7 8 8 8 8 7 7 7 8 8 8 7 7 7 6 7 8 8 7 6 4 5 6 7 8 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 10 9 8 7 7 7 8 10 10 11 12 12 12 11 10 10 11 12 12 11 10 9 8 8 8 8 7 7 6 6 5 5 5 5 5 6 7 7 7 8 8 8 8 9 10 10 10 11 11 10 9 9 9 8 8 6 6 5 6 6 6 7 8 8 8 8 8 10 10 10 9 9 9 nan
nan 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 10 11 12 12 13 14 14 14 14 14 13 13 12 12 11 11 12 11 11 10 10 10 9 9 8 8 9 10 11 12 13 13 14 14 14 13 13 14 14 14 14 14 13 12 12 13 13 12 11 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 6 5 4 5 6 6 6 4 4 4 5 6 7 8 8 8 8 9 9 9 9 9 8 7 7 6 6 6 6 6 7 8 8 7 7 7 6 5 5 5 5 6 6 6 6 7 7 7 7 7 7 8 8 8 8 7 7 7 6 5 4 3 3 3 4 5 6 6 7 7 8 8 8 7 8 8 9 10 10 11 11 11 10 9 9 9 9 8 7 7 6 6 6 7 7 7 6 7 8 9 9 8 7 6 6 nan
nan 9 9 9 9 8 8 9 9 9 10 10 11 11 10 10 10 10 11 12 13 14 14 14 14 13 13 12 11 11 11 11 11 11 10 10 10 9 9 9 9 10 10 11 11 12 12 13 12 12 12 12 13 14 15 16 17 17 17 16 15 14 14 13 13 12 11 10 9 9 8 9 9 9 9 9 9 8 8 7 7 7 6 6 6 6 7 7 6 5 4 4 4 5 5 6 7 7 7 7 7 8 8 7 6 6 5 5 5 5 5 6 6 6 6 6 5 5 4 3 3 3 2 2 2 3 3 4 4 4 3 3 5 7 7 7 7 7 7 6 5 4 3 4 5 6 7 7 7 7 8 8 8 8 7 7 7 8 9 9 9 9 10 10 9 9 10 9 9 8 8 7 7 7 7 6 6 6 7 8 8 8 7 6 5 6 nan
nan 10 10 10 9 9 9 9 10 10 11 11 12 12 11 11 10 10 11 12 13 14 14 13 13 12 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 12 12 11 11 11 11 13 14 15 16 16 17 16 15 14 13 12 12 12 11 11 11 10 10 9 9 9 10 10 11 11 10 9 7 7 8 8 8 8 8 8 8 8 7 6 5 4 4 4 4 5 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 6 6 5 4 4 4 4 4 3 3 3 3 4 4 5 4 4 4 5 6 7 7 7 8 8 7 6 6 6 6 7 7 8 8 8 8 8 8 8 7 7 6 6 7 7 7 7 7 8 9 9 9 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 7 7 6 7 7 nan
nan 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 10 10 11 12 13 13 13 13 13 12 11 11 10 10 9 9 9 8 8 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 12 13 14 15 15 14 14 14 13 12 11 10 10 11 11 11 12 12 12 12 11 11 11 12 12 13 12 10 9 8 8 8 8 9 8 8 8 8 8 7 6 6 5 4 4 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 7 6 6 5 6 6 5 5 5 5 5 5 6 6 6 6 7 7 6 6 7 7 8 8 8 7 8 8 8 7 7 8 8 8 7 7 8 8 7 7 6 6 6 6 6 5 6 7 9 10 9 9 10 10 10 9 8 9 9 9 9 10 10 8 8 7 7 7 7 8 7 nan
nan 10 10 10 10 10 10 11 11 11 12 12 12 12 12 11 9 9 10 11 12 13 13 13 12 12 11 11 10 10 9 9 8 8 8 8 9 9 9 10 10 10 11 11 12 12 12 12 11 11 12 12 12 13 13 14 13 13 12 12 11 11 10 11 11 12 12 13 13 13 13 13 12 12 13 12 12 12 11 10 9 8 8 8 8 8 8 8 8 8 8 8 7 7 6 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 9 9 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 6 5 5 6 7 8 8 7 7 8 8 7 7 6 7 9 8 8 7 8 8 8 7 7 7 7 7 6 6 6 8 9 10 9 9 9 10 10 9 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 nan
nan 10 10 10 10 10 10 10 10 11 11 12 12 12 11 10 9 9 10 11 11 12 12 12 12 11 11 11 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 11 12 12 12 12 12 11 11 11 11 11 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 7 7 7 7 6 6 6 6 7 7 7 8 8 9 9 8 8 8 8 7 7 7 7 6 6 6 7 6 6 6 6 6 6 7 6 6 6 7 7 7 7 7 7 7 7 6 6 7 8 9 9 8 8 8 8 8 8 8 8 8 8 7 7 8 9 9 9 9 9 9 9 9 10 9 8 8 9 10 10 10 10 9 9 9 9 8 8 nan
nan 10 11 10 10 9 9 9 9 9 10 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 10 9 8 8 8 9 10 11 11 10 9 9 8 8 9 8 7 6 6 6 7 8 8 8 8 8 8 8 8 9 9 9 8 8 8 7 7 6 6 6 7 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 7 8 8 7 7 7 7 6 6 7 8 8 8 7 6 6 7 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 8 7 7 8 9 10 10 9 9 9 9 9 8 8 nan
nan 11 11 10 10 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 11 11 11 10 11 11 11 11 11 10 10 9 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 8 8 7 6 7 8 9 9 8 7 6 6 6 7 6 6 5 5 5 6 7 8 8 8 9 9 9 9 9 9 9 9 8 8 8 7 6 6 7 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 6 7 7 8 8 8 8 8 8 7 7 7 8 9 9 7 6 6 6 8 9 9 9 9 9 9 8 8 8 9 9 8 9 9 9 9 9 9 10 10 10 10 8 6 6 7 9 10 10 9 8 8 8 8 8 9 9 nan
nan 11 11 10 10 10 9 9 9 9 9 10 10 10 9 9 9 10 10 10 10 11 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 8 7 7 7 7 7 6 5 4 5 6 6 6 6 6 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 7 7 6 6 7 8 9 9 9 9 8 8 9 9 9 9 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 8 9 9 7 6 6 8 9 9 7 7 6 6 7 8 8 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 8 6 6 6 8 10 10 10 9 8 7 7 8 9 10 9 nan
nan 11 11 10 10 10 10 9 9 9 9 9 10 10 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 10 8 7 6 6 7 7 6 6 6 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 7 7 7 7 6 6 7 9 10 10 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 8 8 8 7 7 7 7 8 9 9 8 6 6 7 8 8 8 8 7 7 7 8 8 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 9 10 10 9 9 8 8 8 10 10 10 9 nan
nan 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 12 11 11 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 7 6 5 6 8 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 9 8 8 8 8 7 7 7 7 7 7 7 6 6 7 8 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 10 11 11 10 8 7 8 8 9 9 10 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 9 9 9 10 10 10 9 8 8 9 10 10 10 10 9 nan
nan 10 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 7 6 5 6 8 9 9 8 8 9 9 9 9 10 10 10 10 10 9 9 9 8 8 7 7 7 6 6 6 7 7 7 7 7 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 9 9 9 10 11 11 11 12 13 13 12 11 10 10 10 10 11 12 12 12 12 13 12 12 10 10 9 10 10 10 10 10 10 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 9 9 nan
nan 10 10 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 9 8 8 9 9 8 8 7 7 8 9 10 11 12 12 11 11 10 10 9 8 8 7 7 6 6 6 6 7 7 7 7 8 9 9 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 10 10 10 10 11 11 11 12 13 13 14 14 14 14 13 13 12 12 11 12 12 12 13 13 13 13 12 12 10 9 9 9 10 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 9 8 8 8 9 10 9 9 9 9 9 8 nan
nan 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 10 10 11 12 13 13 11 10 9 10 10 9 8 8 8 8 8 9 10 11 12 11 10 10 10 9 8 8 7 6 6 6 6 7 7 7 7 8 8 9 9 9 9 8 8 9 9 10 9 9 8 8 8 9 9 9 9 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 10 10 10 10 9 9 8 9 10 10 10 9 10 9 9 8 nan
nan 10 10 10 10 10 10 10 10 10 11 10 10 10 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 9 9 10 10 11 11 11 11 11 11 11 13 14 14 13 11 10 10 10 10 9 9 9 8 8 8 9 9 9 9 8 8 8 7 7 7 7 7 7 7 8 7 7 7 8 8 8 8 9 9 9 9 8 8 9 9 9 9 9 9 9 10 10 10 10 10 11 12 12 12 12 11 12 12 13 13 12 11 11 11 10 8 7 8 10 11 11 10 10 10 10 10 9 8 7 7 8 8 8 8 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 10 10 10 9 10 10 10 10 10 10 10 9 8 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 12 14 14 15 14 12 10 10 9 9 9 8 8 8 8 8 7 7 6 5 5 5 6 6 7 7 7 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 10 11 12 12 12 11 10 11 12 12 11 10 8 8 8 8 6 5 5 7 9 9 9 9 10 9 9 8 7 6 5 6 7 8 8 8 10 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 11 10 10 10 10 9 9 8 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 11 11 12 14 14 14 13 11 10 10 9 8 8 8 8 7 7 7 6 5 5 5 5 5 6 7 7 7 8 8 9 10 10 10 9 8 8 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 9 9 9 10 10 10 10 10 10 11 10 9 8 7 8 8 8 7 6 6 7 8 9 9 9 10 9 8 8 7 6 6 7 7 8 8 9 10 11 11 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 9 9 9 9 nan
nan 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 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 9 8 8 7 7 7 7 7 7 7 7 7 7 6 6 7 8 8 8 8 8 9 10 10 11 10 9 9 8 9 10 10 10 10 10 10 11 11 10 10 10 9 9 9 9 9 8 8 8 8 8 9 9 10 11 11 10 8 7 7 8 8 8 7 7 7 8 9 9 10 10 9 9 8 8 8 7 7 8 8 8 9 10 11 12 12 11 11 10 10 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 9 8 8 9 10 nan
nan 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 8 8 8 8 8 8 8 9 9 10 9 8 8 7 6 6 6 7 6 6 6 7 7 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 11 11 10 7 6 7 8 9 8 8 8 8 9 10 10 11 10 10 9 8 9 9 9 9 9 9 9 9 11 12 12 12 12 10 10 10 9 9 10 10 9 9 9 8 9 9 9 9 9 10 9 9 9 9 9 10 10 10 9 8 9 10 11 nan
nan 9 9 9 9 9 9 9 8 8 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 9 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 10 9 9 8 7 7 7 7 8 8 9 9 9 8 7 6 5 5 5 5 5 5 5 6 8 9 9 10 11 11 12 11 11 11 10 10 10 10 10 10 11 11 10 9 8 8 8 7 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 10 7 6 7 8 9 8 8 9 10 10 11 11 11 11 10 10 9 9 10 11 11 10 9 9 9 10 11 12 12 11 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 8 9 10 11 nan
nan 9 9 9 9 9 9 9 8 8 7 7 8 8 8 9 9 9 10 10 9 9 8 8 7 7 8 8 9 10 10 10 11 11 10 10 10 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 7 7 6 6 6 6 6 6 5 5 6 7 8 8 9 9 10 11 12 12 12 11 10 10 10 10 9 9 10 10 9 8 7 7 6 7 8 8 8 9 9 9 9 9 9 9 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 9 7 7 8 9 8 7 8 9 10 11 12 12 11 11 10 9 9 10 11 11 11 10 8 8 9 9 10 11 12 11 9 8 8 9 9 9 9 8 8 9 9 10 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 9 11 10 nan
nan 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 9 8 7 7 7 8 8 9 9 10 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 9 8 8 9 10 10 10 9 8 7 7 6 6 6 6 6 7 6 6 6 6 5 5 5 6 7 8 8 8 8 9 10 11 11 11 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 10 11 10 8 8 9 9 8 7 8 9 10 11 12 12 11 10 9 9 9 10 10 11 10 9 8 8 8 9 10 11 12 11 9 9 8 9 9 9 9 9 9 9 10 10 10 9 10 9 9 10 10 10 10 10 10 9 9 8 8 9 10 10 nan
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nan 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 8 10 11 12 13 13 12 11 11 11 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 10 11 11 11 11 10 10 9 9 9 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 8 9 9 9 10 10 11 11 13 14 14 14 13 13 13 13 12 11 11 11 10 9 8 7 6 5 4 4 4 5 4 3 3 7 13 16 14 11 10 10 10 10 10 10 10 9 9 10 10 9 9 8 7 8 9 9 8 5 3 3 6 8 11 13 14 15 16 18 19 18 16 10 6 4 3 3 3 4 6 7 7 7 8 8 8 8 8 9 9 9 9 11 11 nan
nan 9 8 8 8 8 9 9 8 8 7 7 7 7 7 8 9 10 12 12 12 11 11 11 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 10 9 9 9 10 10 10 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 10 10 10 11 12 13 13 13 13 13 13 13 12 12 13 13 12 11 10 9 8 7 5 4 4 4 4 4 4 8 13 16 14 11 9 9 10 10 10 10 10 9 9 10 10 10 9 8 7 9 10 10 8 5 4 5 7 10 12 14 15 15 16 17 17 15 12 7 5 4 3 3 3 3 5 6 7 7 8 8 8 8 8 8 8 9 10 10 11 nan
nan 8 8 8 8 8 8 7 7 6 6 6 6 7 8 9 10 11 12 12 12 11 11 12 13 12 11 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 10 9 9 9 8 9 9 9 10 10 10 10 10 10 10 10 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 8 8 9 10 10 10 10 9 9 9 9 9 9 10 11 12 13 13 13 12 12 12 12 13 13 13 13 12 12 11 10 8 6 5 4 4 4 4 4 7 12 15 15 12 8 8 9 10 10 10 10 9 9 10 10 10 9 8 8 10 11 10 9 8 8 10 11 12 14 14 14 14 14 14 13 11 9 6 5 4 4 3 2 3 4 5 6 8 8 8 8 8 8 8 9 9 10 10 11 nan
nan 8 8 8 8 7 7 6 5 5 5 5 6 8 9 10 11 12 12 12 11 11 13 14 13 12 10 9 9 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 10 10 11 11 11 10 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 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 10 12 14 14 13 12 11 12 12 12 13 13 13 13 12 11 10 9 8 6 4 4 4 4 4 6 10 14 16 13 9 8 8 9 9 9 9 9 10 10 9 9 8 8 9 10 11 11 10 10 12 13 13 13 14 14 13 12 11 10 9 8 7 5 5 5 5 4 3 2 2 4 6 7 8 8 8 8 8 8 9 9 10 11 12 nan
nan 9 9 9 9 8 7 6 5 5 5 6 7 9 10 11 12 12 12 11 11 13 14 14 13 11 9 9 9 10 10 10 11 11 11 10 10 10 10 9 10 10 10 10 11 11 11 11 10 10 10 10 9 9 9 10 9 9 9 9 9 9 10 10 9 9 9 10 10 11 10 10 9 9 8 8 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 9 9 10 9 9 10 12 15 15 14 11 10 11 11 12 12 13 13 13 12 11 11 10 8 7 5 4 4 4 4 5 8 12 15 14 10 8 7 8 8 8 8 9 11 10 9 8 8 9 10 11 12 12 11 12 13 14 13 14 14 14 13 12 10 9 8 7 6 6 5 5 5 5 3 1 1 2 5 7 9 9 8 8 8 8 8 9 10 11 12 nan
nan 10 10 10 9 9 8 7 6 6 6 7 8 10 11 12 12 12 11 11 12 14 14 13 12 10 9 9 10 10 10 10 10 10 10 10 10 9 9 10 10 11 11 11 11 11 10 10 10 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 9 10 10 11 11 10 9 9 8 8 8 8 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 9 9 10 10 10 10 11 14 16 15 14 11 10 10 11 11 12 12 12 12 12 11 11 10 9 7 6 5 4 4 4 4 5 9 12 13 10 8 7 7 8 7 8 8 11 11 11 10 10 10 11 12 12 12 12 13 13 13 13 14 14 14 14 13 11 9 8 8 7 6 6 5 5 5 3 1 0 2 5 8 10 9 9 8 8 8 8 9 10 11 12 nan
nan 9 9 9 9 9 9 8 7 7 7 8 9 10 11 11 11 11 11 12 13 14 13 12 11 10 10 10 10 10 10 10 10 10 10 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 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 9 9 9 8 9 9 9 9 9 8 8 9 10 10 10 10 10 11 13 15 16 15 14 12 11 11 11 11 11 11 12 12 12 12 12 11 10 8 6 6 5 5 5 4 4 6 10 12 10 8 6 7 8 8 8 9 10 12 11 11 10 10 10 11 11 11 12 13 13 13 13 13 13 12 12 12 11 11 10 9 8 7 6 5 5 5 5 4 3 3 6 9 10 10 9 8 8 7 7 8 9 10 11 nan
nan 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 10 11 12 13 13 12 11 10 10 11 11 11 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 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 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 10 11 11 11 11 10 11 13 15 16 16 15 13 12 12 12 12 12 11 11 11 11 11 12 13 13 12 10 8 7 6 6 7 6 6 7 10 11 10 7 5 5 7 8 9 10 10 10 10 10 10 9 9 10 10 12 13 14 13 12 12 11 10 10 10 11 11 12 12 11 9 7 6 5 5 6 7 7 7 6 7 9 10 10 9 9 8 7 7 7 7 7 7 nan
nan 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 11 12 12 11 11 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 10 10 9 9 9 9 9 9 8 9 9 9 10 10 9 9 9 9 9 9 9 10 11 11 10 9 10 12 12 12 12 11 12 13 14 16 16 15 13 12 11 11 12 12 12 12 11 10 10 10 12 13 14 13 12 10 9 8 8 9 9 10 11 12 12 10 7 4 5 7 9 10 10 10 9 9 9 9 9 9 9 10 12 13 13 11 11 11 10 9 8 8 9 11 12 11 9 8 6 5 5 6 7 9 11 11 9 9 9 10 11 10 9 7 7 7 6 5 5 6 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 10 10 10 10 11 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 9 9 9 9 9 10 10 9 9 9 9 10 10 10 11 12 12 11 10 10 11 12 13 13 12 12 13 14 14 14 14 13 12 10 9 10 10 11 12 12 10 9 9 9 10 12 13 13 12 11 11 10 10 10 10 11 13 14 12 10 7 6 6 8 9 10 9 9 9 9 9 8 8 8 9 10 12 12 12 11 10 10 9 8 7 7 7 8 9 8 7 6 5 5 6 8 10 12 14 14 13 12 12 13 13 11 9 6 6 6 6 7 7 8 nan
nan 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 10 11 11 11 11 10 10 10 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 9 9 9 9 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 8 8 8 8 9 9 9 9 9 9 8 8 8 9 10 11 11 12 12 11 10 10 11 12 12 12 12 13 13 13 14 14 13 12 11 10 8 8 8 9 11 12 11 10 10 9 9 9 9 10 10 11 11 11 11 10 10 10 11 13 14 12 10 8 7 7 7 7 8 8 9 10 10 9 8 7 8 9 10 11 11 11 10 10 9 8 7 6 5 5 6 6 5 5 5 6 8 9 11 12 14 16 17 17 16 15 15 15 13 9 6 5 6 8 10 11 12 nan
nan 10 10 10 9 8 8 7 7 7 7 7 8 9 10 11 12 12 11 11 11 10 9 9 10 11 13 13 12 12 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 9 9 8 8 8 9 9 9 8 8 8 7 7 8 8 8 9 9 9 9 8 7 7 8 9 9 9 9 8 8 8 9 10 10 10 11 11 11 11 10 11 11 11 11 11 12 13 13 13 13 13 11 9 9 8 7 7 8 10 11 11 11 11 10 9 8 7 6 7 7 9 10 10 10 9 9 9 11 12 13 12 10 8 6 6 6 6 7 9 11 11 11 9 7 7 8 9 10 11 11 10 10 8 7 6 6 5 4 4 4 4 5 6 7 9 10 12 13 14 16 19 20 20 19 16 14 13 11 9 8 8 9 11 12 13 14 nan
nan 10 10 9 9 8 7 7 7 7 7 7 8 10 12 12 12 11 11 10 10 9 9 9 10 12 13 14 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 9 10 9 8 8 7 7 8 8 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 10 11 13 13 13 13 13 13 10 8 7 6 7 9 11 13 13 12 12 12 12 10 9 7 6 6 6 8 9 8 7 7 7 8 10 12 12 11 10 7 5 5 4 5 8 11 13 13 12 10 9 9 9 10 11 10 9 8 8 7 7 7 6 4 3 3 4 5 7 8 10 12 13 14 14 15 18 21 22 23 21 16 12 10 8 8 10 11 12 14 15 16 16 nan
nan 9 9 9 8 8 8 7 7 7 8 9 10 11 12 12 11 11 10 9 9 8 9 9 11 12 14 14 13 12 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 8 8 9 10 9 9 8 7 6 7 8 8 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 11 13 13 13 14 14 12 10 8 7 7 8 12 14 14 13 12 12 12 12 11 10 8 8 7 7 8 8 8 6 5 6 8 9 11 11 11 10 8 6 5 5 7 11 14 14 13 12 11 11 11 11 11 10 9 7 7 7 6 6 6 4 3 3 4 6 8 10 12 13 13 14 14 15 16 19 20 20 20 18 14 10 8 8 9 11 12 14 16 17 17 16 nan
nan 10 9 9 9 9 8 8 8 8 9 10 11 12 12 11 10 10 9 9 8 8 9 10 11 13 14 14 13 12 10 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 9 9 9 8 8 7 7 7 7 7 7 8 9 9 8 8 7 6 7 7 8 8 9 9 9 9 9 10 10 10 10 9 10 10 10 10 10 10 11 12 13 13 13 13 12 11 9 9 9 11 13 13 12 11 11 11 11 10 9 9 8 8 7 8 8 8 7 5 5 6 7 9 10 10 10 9 8 7 8 9 12 15 15 14 12 11 10 11 11 10 9 8 7 6 6 5 5 4 3 1 1 2 5 9 11 13 14 14 14 15 15 16 18 18 17 15 12 10 8 7 8 9 10 12 13 16 18 18 18 16 nan
nan 11 11 11 10 9 9 9 9 10 11 11 12 11 11 10 10 9 9 9 9 9 9 10 12 13 14 14 13 12 11 10 10 9 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 7 7 7 7 7 8 8 7 7 6 7 7 8 8 8 9 9 9 10 10 11 11 11 9 8 8 9 9 10 10 10 10 11 12 12 12 12 11 11 10 9 10 11 11 11 10 10 11 11 10 9 8 8 7 7 8 8 8 7 6 6 6 7 8 9 9 9 8 7 7 8 10 12 15 16 15 14 13 11 10 9 9 8 7 7 6 5 4 3 3 2 1 1 2 5 9 12 13 14 14 14 15 16 18 19 20 19 17 12 8 6 5 6 9 11 13 14 16 19 21 20 17 14 nan
nan 11 11 10 10 10 9 10 10 12 12 12 11 11 10 10 10 9 9 9 9 9 10 10 12 13 14 14 13 12 11 11 10 9 9 9 9 10 11 11 12 12 11 11 11 10 10 10 9 10 10 11 11 11 11 10 10 10 9 9 8 8 7 7 7 7 8 8 8 7 7 7 6 7 7 7 8 8 9 9 10 10 11 12 12 10 9 8 8 8 9 10 10 10 10 10 10 10 10 11 11 11 11 10 9 9 9 9 10 10 11 11 10 9 8 7 7 8 9 8 7 5 4 6 6 7 8 9 9 9 7 6 7 8 11 13 14 14 14 14 13 11 9 8 8 7 6 4 3 2 1 1 2 2 4 6 8 11 12 13 14 15 15 16 18 20 22 23 23 22 19 15 12 11 11 12 14 15 17 19 21 23 22 19 15 11 nan
nan 10 10 9 9 10 11 12 13 14 13 12 11 10 10 10 10 9 9 10 10 10 10 10 11 12 13 13 13 13 12 11 10 10 9 9 9 10 11 12 12 12 11 11 10 10 10 10 10 11 11 11 11 11 10 10 9 9 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 9 10 11 12 12 11 10 9 9 9 9 10 10 11 11 11 11 11 10 11 11 12 12 11 10 9 8 9 9 11 11 11 10 10 9 7 7 8 9 10 8 6 4 4 6 7 7 8 10 10 8 7 6 7 10 12 13 12 12 12 13 13 11 9 8 7 5 2 1 -0 -0 0 2 4 7 10 12 14 15 15 16 17 18 19 20 22 23 23 23 22 21 19 17 16 16 16 17 19 20 22 23 25 23 20 15 12 10 nan
nan 9 9 9 9 11 13 14 15 15 13 12 11 10 10 10 9 9 9 9 10 10 10 10 11 11 11 12 12 13 12 12 11 10 9 9 9 10 10 11 11 11 10 10 10 10 10 11 11 12 11 11 10 10 9 9 8 8 8 8 7 7 7 8 8 9 9 9 9 9 8 8 7 7 7 7 7 8 8 9 9 10 11 11 11 10 9 9 9 10 10 11 11 12 12 12 12 12 12 12 12 12 11 10 9 8 9 10 11 11 10 10 9 8 7 7 9 10 10 9 7 5 6 6 7 8 10 10 9 8 6 7 10 12 13 12 11 11 12 12 11 10 9 8 6 3 1 0 1 3 5 8 11 15 17 18 19 19 20 21 22 22 22 23 22 22 20 18 16 15 14 13 14 15 16 18 20 22 23 23 22 19 15 12 11 12 nan
nan 8 7 8 10 12 14 14 14 13 12 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 11 12 12 12 12 11 10 9 9 9 10 10 10 10 9 9 9 10 10 11 12 13 12 11 10 9 9 8 8 8 8 8 8 8 8 8 9 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 9 10 11 11 10 10 9 10 11 11 12 12 12 13 12 12 12 12 12 12 11 11 10 9 9 9 10 10 10 9 9 8 8 8 9 11 11 11 9 8 7 7 7 7 8 10 10 9 7 7 10 13 14 14 13 12 12 13 14 14 14 12 10 7 6 6 7 9 11 14 17 20 22 22 22 21 21 22 23 22 21 20 19 17 15 13 12 10 9 8 9 11 14 16 18 19 20 20 19 16 14 12 12 12 12 nan
nan 7 7 8 10 12 13 13 12 11 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 12 12 12 11 10 10 9 9 9 9 9 9 9 9 9 9 10 12 13 13 13 11 10 9 8 8 8 8 8 9 9 9 9 10 10 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 9 9 10 10 11 11 10 10 10 11 12 12 12 12 12 12 12 12 12 12 12 11 11 10 9 9 9 9 9 9 8 8 8 9 11 12 12 12 10 9 8 7 7 8 8 9 9 9 9 8 10 13 15 16 15 13 13 14 16 18 20 20 19 15 12 12 13 15 17 19 20 22 22 22 20 18 16 16 16 16 15 14 13 12 11 10 10 10 10 9 9 11 13 15 17 17 17 16 15 13 12 12 11 12 12 12 nan
nan 7 8 9 10 12 12 12 11 10 10 9 10 10 10 10 9 9 9 9 9 10 10 10 11 10 10 10 11 11 12 11 11 10 10 9 9 9 8 8 8 8 8 9 10 11 13 13 13 12 11 10 9 9 9 9 9 9 9 9 10 10 11 11 11 12 11 11 10 10 10 9 9 9 10 10 11 11 11 10 9 9 10 11 11 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 9 9 9 9 8 8 8 10 11 13 13 13 11 9 8 7 7 7 8 9 9 9 9 9 10 11 13 14 14 14 13 14 15 17 19 20 20 19 17 15 15 16 17 18 19 20 19 18 15 13 11 10 11 11 11 11 11 11 10 10 11 12 12 12 12 12 13 14 15 15 15 14 13 12 11 11 10 10 11 11 12 nan
nan 9 9 10 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 8 8 8 8 8 9 9 10 12 12 12 12 11 11 10 10 9 9 10 10 10 10 10 11 11 11 12 13 12 11 10 10 11 11 11 10 9 10 10 11 11 10 9 9 9 9 10 11 12 12 11 11 10 10 10 10 11 11 12 12 12 12 11 11 11 10 10 10 9 9 9 9 8 9 10 11 12 12 12 10 9 8 8 7 7 8 8 9 9 9 9 10 10 11 11 11 11 11 11 12 13 15 15 15 14 13 13 13 13 13 14 15 15 15 14 13 12 11 11 11 13 14 15 15 15 15 14 14 15 15 14 13 13 13 13 12 12 12 12 12 12 12 11 10 10 9 10 10 11 nan
nan 11 11 11 11 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 9 10 11 11 12 11 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 13 13 12 10 9 10 12 14 14 12 10 10 11 11 11 9 9 8 8 9 9 11 11 11 11 10 10 10 10 10 10 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 8 8 8 7 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 12 12 11 10 10 10 10 11 12 13 13 13 13 13 13 14 15 16 16 17 17 17 17 16 16 16 15 14 13 12 12 12 12 11 10 10 10 11 11 11 11 11 10 9 9 9 9 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 10 9 9 9 9 8 8 8 9 9 10 11 12 12 11 9 8 8 8 8 9 9 10 11 11 12 13 14 14 14 13 12 12 11 10 9 10 12 16 17 15 13 11 11 11 11 12 11 10 10 9 8 9 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 10 10 9 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 9 10 10 10 10 9 9 10 11 11 10 9 9 9 9 10 11 13 13 14 13 13 13 13 13 14 15 15 15 15 14 14 13 13 13 13 12 11 11 11 12 12 11 10 9 9 10 11 11 11 10 10 10 9 8 8 nan
nan 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 9 9 10 12 13 13 12 10 8 7 7 7 8 9 10 11 12 13 13 14 14 15 15 15 13 11 8 7 8 11 15 18 17 15 13 11 11 11 11 12 12 12 12 11 10 10 10 11 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 9 9 10 10 11 11 11 11 12 11 11 10 10 9 8 8 8 8 8 8 7 6 5 4 5 5 6 7 7 8 9 9 9 9 8 9 10 11 10 9 7 5 6 8 11 13 14 15 14 13 12 11 11 11 12 12 12 12 12 12 11 11 11 11 11 10 10 10 11 12 11 11 10 10 10 10 11 11 11 11 11 11 10 9 8 nan
nan 11 11 12 13 13 13 13 13 12 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 8 8 9 10 11 13 13 12 11 10 8 8 8 9 9 10 10 11 13 14 14 15 15 15 15 15 14 10 7 7 9 13 17 18 16 13 11 10 10 10 11 11 12 12 13 13 13 12 12 11 9 8 8 10 11 12 13 12 10 10 9 9 9 9 9 8 8 9 10 11 11 12 12 12 12 11 10 10 9 9 8 8 8 8 6 5 4 4 5 5 4 4 4 4 4 5 5 5 5 5 6 8 9 9 7 3 2 4 8 13 16 15 14 12 11 10 9 10 10 11 11 11 11 11 11 11 11 11 11 10 9 9 10 11 11 11 10 10 10 10 10 11 11 11 11 11 12 11 10 9 nan
nan 12 13 13 13 13 13 13 13 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 12 13 13 12 11 10 10 10 10 10 10 11 11 12 13 15 16 16 16 16 16 16 14 11 9 9 11 15 18 17 14 12 10 9 8 8 9 10 11 11 13 15 15 16 15 12 9 7 8 10 13 15 16 15 14 13 12 12 11 10 9 8 8 8 9 11 12 12 12 12 13 12 10 9 9 9 8 8 7 5 4 4 4 6 7 7 7 6 5 3 2 1 -0 -1 -0 1 4 6 6 5 3 0 2 7 13 18 18 14 11 9 8 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 9 9 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 11 10 10 nan
nan 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 12 11 11 11 11 11 11 11 11 12 13 14 15 15 15 15 16 16 15 14 12 11 12 14 18 18 16 13 11 10 8 7 6 7 7 9 10 12 15 18 20 20 17 13 10 9 11 13 15 16 15 15 15 16 16 15 13 12 10 9 9 10 10 11 11 12 13 13 12 10 9 8 8 7 5 4 3 3 4 5 7 8 9 9 10 9 7 5 3 1 -1 0 2 5 6 6 4 2 3 9 16 22 23 17 11 8 7 8 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 11 11 10 10 nan
nan 12 11 11 11 11 11 12 11 11 11 12 12 12 12 11 11 10 10 11 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 12 12 13 14 13 12 10 11 13 17 19 18 15 13 11 10 9 7 6 5 6 7 8 9 12 15 18 21 20 18 16 15 14 13 13 12 12 13 14 15 16 16 16 14 13 11 11 10 10 10 10 11 12 13 12 10 9 8 7 5 4 2 2 4 5 6 7 8 8 9 10 11 10 9 7 6 5 6 8 10 10 10 8 8 13 18 24 26 21 14 9 6 7 9 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 13 12 12 11 10 10 10 nan
nan 11 10 10 10 11 11 11 11 10 10 10 11 11 11 11 11 10 10 10 11 11 11 10 10 10 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 11 11 13 14 14 13 13 12 12 13 13 12 11 11 10 10 11 11 11 10 9 10 13 16 18 17 15 13 12 11 10 8 7 6 6 7 7 7 6 7 10 14 18 19 20 19 17 14 12 10 9 10 11 12 13 13 12 12 12 11 11 11 11 10 9 9 10 11 11 11 10 9 7 5 4 4 4 5 6 7 7 7 8 8 9 9 10 10 9 9 10 11 12 14 14 14 14 16 20 23 25 22 16 11 8 7 8 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 14 14 13 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
200 136 96 76 65 51 45 41 31 13 4 5 4 1 0 4 22 67 171 568 1378 2334 3148 3623 3740 3671 3624 3571 3514 3473 3464 3480 3479 3450 3395 3332 3276 3238 3215 3194 3160 3113 3084 3047 3010 2981 2961 2938 2926 2942 2978 3003 2941 2712 2296 1761 1235 797 480 281 175 125 97 72 56 48 43 39 37 37 44 58 70 81 94 110 128 143 145 149 148 131 113 107 85 71 58 47 40 35 29 21 14 8 5 3 2 2 1 1 1 3 3 2 0 0 1 1 0 0 0 1 3 2 1 0 2 4 5 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
154 101 63 46 50 53 43 30 19 11 6 4 5 9 37 64 67 55 60 165 589 1346 2310 3193 3718 3824 3746 3681 3624 3582 3558 3544 3524 3495 3462 3431 3393 3358 3319 3261 3188 3110 3055 3006 2972 2967 2985 2987 2996 3002 2988 2904 2700 2354 1887 1345 870 502 266 133 69 50 50 39 31 28 27 28 28 33 42 57 70 84 99 115 128 128 101 84 68 53 42 35 27 21 15 12 10 9 7 5 4 2 2 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 13 12 8 7 5 3 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
80 61 45 39 46 45 33 19 10 6 3 1 1 6 22 62 87 67 42 45 165 492 1114 2083 3152 3797 3893 3841 3771 3706 3641 3576 3527 3514 3517 3528 3503 3457 3395 3308 3212 3110 3029 2978 2957 2977 3028 3060 3015 2875 2674 2396 2046 1644 1218 804 487 256 125 63 41 37 34 27 21 18 18 21 27 38 48 56 66 77 89 99 100 90 48 26 15 10 8 8 7 6 5 4 4 4 4 3 2 2 1 1 1 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 0 0 0 0 1 4 7 7 12 9 4 2 1 1 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
18 22 27 27 21 11 4 1 0 0 0 0 0 2 17 43 64 62 40 21 43 115 305 939 2093 3316 3935 4013 3919 3794 3676 3583 3539 3550 3577 3601 3574 3510 3421 3310 3195 3091 3019 2989 2997 3038 3072 3009 2725 2325 1904 1491 1106 762 472 273 160 87 49 31 24 23 22 19 15 12 13 18 28 40 46 48 49 52 56 55 45 38 16 7 5 4 5 4 4 3 3 4 4 3 3 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 3 4 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 4 8 8 4 1 0 0 0 0 0 0 0 0 2 9 19 25 21 13 23 42 84 347 1119 2431 3599 4033 3978 3791 3656 3593 3569 3608 3637 3641 3595 3509 3400 3282 3173 3092 3056 3055 3049 2993 2833 2514 2020 1497 1025 646 369 183 67 31 25 22 17 13 11 13 14 13 12 12 12 15 22 30 31 28 23 20 17 13 8 7 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 2 2 1 1 0 0 0 0 0 0 0 0 1 2 5 10 13 20 43 83 181 588 1545 2849 3791 3934 3719 3590 3591 3587 3639 3667 3649 3580 3476 3356 3240 3145 3093 3091 3046 2870 2540 2092 1604 1140 730 411 196 79 31 9 6 8 9 6 4 4 6 6 8 9 9 8 8 9 9 10 9 6 3 1 0 1 2 4 5 5 5 5 4 4 5 5 5 5 4 3 2 1 0 0 0 0 1 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 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 1 1 1 0 0 0 0 0 0 0 0 1 5 15 29 58 108 179 387 937 1984 3291 3807 3657 3489 3491 3538 3603 3641 3617 3539 3433 3319 3213 3136 3094 2970 2684 2233 1680 1131 691 422 226 108 42 14 6 1 0 2 2 2 1 0 0 0 2 3 3 2 1 0 0 0 1 0 0 0 0 1 2 4 5 5 4 5 3 3 3 3 3 3 2 1 1 1 0 0 0 0 1 1 1 0 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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