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 4 4 4 4 5 5 5 5 4 3 3 4 6 5 2 0 1 5 9 10 10 9 9 9 10 10 9 9 9 10 10 10 11 11 10 8 6 6 7 8 8 8 7 7 8 9 8 7 6 6 6 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 8 9 10 11 11 11 11 11 10 10 10 9 8 7 6 7 8 8 8 8 8 9 9 8 7 6 6 6 7 7 8 9 10 10 9 9 9 9 10 10 10 10 9 8 8 8 7 7 6 7 9 9 8 7 7 7 6 5 5 6 6 7 7 8 10 10 10 8 7 6 6 6 7 7 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 7 8 nan
nan 4 4 4 5 6 6 6 6 5 4 4 5 7 6 5 3 2 4 7 8 9 9 9 10 11 10 9 8 9 10 11 11 12 12 10 7 6 7 8 8 8 7 7 7 7 8 9 8 7 6 6 6 7 8 9 9 9 8 8 8 8 8 8 8 8 8 9 8 7 7 7 6 6 6 6 7 7 9 9 10 11 11 11 11 10 10 9 9 9 8 8 7 8 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 9 10 10 10 9 9 9 10 10 9 9 9 9 8 7 7 6 7 8 10 10 8 8 7 7 7 7 7 7 7 7 8 10 12 12 11 10 8 8 7 7 7 8 8 8 8 8 8 7 8 8 7 7 7 7 7 8 9 9 9 8 8 8 9 9 9 8 8 8 8 8 9 8 8 8 7 7 nan
nan 5 4 4 5 6 6 6 6 5 3 3 4 5 6 6 5 3 3 5 7 8 8 9 11 11 10 9 9 9 10 10 10 11 11 9 7 7 8 9 8 6 5 5 6 7 8 8 7 6 6 6 7 8 8 9 10 10 10 10 9 9 8 8 7 8 9 9 9 8 7 7 6 7 7 7 7 8 9 9 9 9 9 10 9 9 8 8 8 8 8 8 8 10 11 11 9 8 9 9 9 9 9 9 8 8 8 8 8 9 10 10 10 9 8 9 9 8 8 8 9 9 8 6 6 7 7 8 10 10 9 8 8 8 8 8 8 8 8 8 10 11 12 12 11 10 9 8 8 8 8 8 8 9 8 8 9 9 8 8 8 8 8 7 7 8 9 10 9 8 8 8 8 9 9 9 8 8 8 8 8 8 8 7 7 7 nan
nan 5 5 4 5 5 5 5 4 3 1 -0 1 2 4 5 4 3 3 4 6 7 8 9 10 11 11 10 9 9 9 9 9 9 9 9 8 8 8 9 8 6 5 5 6 8 8 7 6 6 6 7 7 8 8 9 10 11 11 11 11 10 9 8 8 8 9 10 10 9 8 7 7 8 8 9 9 9 9 9 8 8 7 8 8 7 7 6 7 7 8 8 9 10 10 10 9 9 9 10 10 10 10 10 9 9 8 8 8 9 9 10 10 9 8 7 7 7 7 8 8 8 7 7 7 8 8 9 11 11 10 8 8 8 8 8 8 7 8 9 10 12 12 12 11 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 7 7 8 9 9 9 9 9 9 8 9 9 9 10 9 8 8 7 7 8 7 7 7 nan
nan 5 5 4 4 4 3 3 3 2 0 -0 -1 0 2 3 2 1 2 5 7 8 8 8 9 10 10 10 10 9 9 8 8 8 9 9 8 8 8 9 8 6 6 6 7 7 7 6 6 7 8 8 8 8 8 9 11 11 12 12 12 11 10 9 9 9 9 10 10 10 9 9 9 9 10 10 9 9 9 9 8 7 7 8 8 7 6 6 7 8 9 9 9 9 9 9 9 8 9 10 11 11 11 10 10 10 9 8 7 7 8 10 10 9 8 7 6 6 7 7 8 8 8 8 9 9 10 11 12 12 11 10 8 7 7 7 7 6 7 8 9 11 11 11 10 9 8 8 8 8 9 9 8 8 8 9 9 9 8 8 8 9 8 8 7 8 8 8 9 10 10 10 9 9 9 10 11 10 9 7 6 7 8 8 8 8 nan
nan 5 4 4 4 4 3 3 3 2 2 2 2 2 2 1 0 0 3 7 9 8 7 7 8 9 10 10 10 9 8 8 9 10 11 10 9 8 8 9 9 8 7 7 7 6 6 6 7 8 9 10 9 9 9 10 11 12 12 13 13 12 12 11 11 10 10 10 10 10 9 9 9 10 10 10 9 9 8 8 7 8 9 9 8 7 7 7 8 9 9 10 10 10 9 9 8 8 9 10 11 10 9 9 9 9 9 8 7 7 8 9 11 10 9 8 8 7 6 7 7 8 9 9 10 10 11 12 12 12 12 11 10 8 7 7 6 6 6 7 8 10 10 11 10 9 8 7 7 8 8 9 8 8 8 9 9 8 7 6 6 6 6 7 8 8 7 7 8 9 10 10 10 10 10 10 10 9 7 7 6 7 8 8 8 8 nan
nan 4 4 4 4 4 5 5 5 4 5 5 5 5 5 3 0 -0 3 7 8 8 7 7 8 9 10 10 9 8 8 8 10 12 12 11 9 8 8 9 8 8 7 6 5 5 6 8 9 10 10 10 10 9 9 10 10 10 11 11 12 12 12 12 11 10 10 9 8 8 9 9 9 9 9 9 9 8 7 7 6 7 9 9 8 7 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 8 9 9 9 9 9 8 8 8 10 11 12 11 10 9 8 7 7 7 8 9 9 10 10 11 12 12 12 12 11 11 9 8 7 7 7 7 7 8 9 10 10 10 10 9 8 8 8 8 8 8 7 8 9 10 9 8 6 5 4 5 6 8 8 8 7 7 8 9 10 10 10 9 9 8 7 7 7 7 7 8 8 8 8 nan
nan 4 5 5 5 6 7 7 7 7 7 7 6 6 6 5 2 1 2 5 7 7 7 7 8 9 10 10 9 8 8 9 11 12 12 11 9 8 8 8 7 6 6 5 6 7 9 11 12 11 10 9 8 8 7 7 7 7 8 8 9 9 9 9 9 8 8 6 6 6 7 8 8 8 8 8 8 7 7 6 7 7 8 8 7 8 8 8 8 8 8 8 8 8 8 9 8 8 8 9 9 9 9 10 11 11 11 10 10 9 9 10 11 12 12 11 10 9 8 7 7 8 9 10 9 9 10 11 12 12 12 11 11 10 8 8 8 7 7 7 8 9 9 9 10 11 11 10 10 9 9 8 7 7 8 9 10 10 9 7 5 5 6 7 9 9 9 8 8 8 8 8 9 9 10 9 8 7 7 8 8 8 7 8 8 8 nan
nan 5 5 6 7 8 9 10 10 10 9 8 6 4 3 2 1 2 4 5 7 9 9 10 10 10 11 11 10 9 9 10 11 11 11 10 9 8 7 7 6 5 5 6 8 11 12 13 12 9 8 7 6 5 4 3 4 4 4 5 4 4 4 5 5 6 5 5 4 5 6 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 9 9 9 10 11 11 12 12 11 11 10 10 9 9 11 12 12 11 10 9 8 8 8 9 10 11 10 9 9 10 11 12 12 11 11 10 10 9 9 8 7 8 9 9 9 9 9 10 12 12 11 11 10 9 7 6 7 8 9 10 9 8 7 7 8 10 11 9 8 8 8 8 8 8 8 8 9 9 8 8 7 8 8 7 7 8 8 8 nan
nan 4 5 6 8 9 10 11 11 10 9 6 4 2 -0 -2 -2 -1 2 6 10 13 16 17 17 15 14 13 12 11 11 12 11 11 10 9 8 7 7 7 7 7 8 9 11 12 13 11 10 8 6 5 5 5 4 4 4 4 3 2 2 1 2 3 4 5 4 4 4 4 5 6 7 7 8 7 7 7 7 7 8 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 9 10 10 10 10 10 9 9 8 8 8 10 11 10 10 10 10 11 12 11 10 11 11 12 11 9 8 8 8 9 9 9 8 8 8 10 11 11 11 11 10 9 8 7 7 8 9 9 9 8 9 10 11 11 8 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 nan
nan 5 5 6 7 8 9 10 10 9 6 4 1 -1 -2 -3 -4 -3 1 6 14 20 24 26 25 22 19 16 15 14 13 13 12 10 9 8 7 7 7 7 9 10 11 12 12 12 11 10 8 6 5 6 6 7 7 7 7 6 4 3 2 1 2 4 5 5 4 3 3 3 5 6 7 8 8 8 7 6 6 7 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 9 8 8 8 8 9 10 11 11 11 11 12 11 10 10 12 13 12 11 9 9 9 10 10 9 9 8 7 8 9 9 10 10 10 10 10 9 9 10 10 10 9 8 9 10 10 8 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 nan
nan 6 6 6 6 7 8 9 8 7 5 3 1 -0 0 1 2 4 7 12 19 25 27 28 27 25 22 19 16 14 13 13 12 10 8 7 7 7 7 8 9 10 11 11 11 11 10 9 7 5 5 6 7 8 9 9 8 7 5 4 3 3 4 5 5 5 4 3 4 6 8 9 9 9 9 8 7 7 7 8 8 8 7 6 6 6 7 8 8 9 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 9 9 8 8 8 9 11 11 11 11 11 11 10 10 12 13 14 13 12 11 10 10 10 9 9 9 8 8 7 7 8 9 10 11 11 11 11 12 11 10 9 8 8 9 9 7 6 7 8 8 8 8 9 9 9 8 8 8 8 8 9 9 8 8 8 9 10 nan
nan 8 8 8 8 8 9 9 9 8 7 6 4 4 5 8 11 14 17 20 23 25 25 24 23 22 20 17 15 13 11 11 10 10 9 8 8 8 8 8 9 9 9 9 10 11 10 9 7 5 5 6 7 8 8 8 8 7 6 5 5 5 6 7 6 6 5 6 8 11 13 13 11 10 8 7 7 8 8 9 9 8 7 6 5 6 6 7 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 11 10 10 10 10 10 10 10 9 8 7 8 10 11 11 10 11 11 11 11 12 13 14 15 14 12 10 9 9 9 9 9 9 9 8 7 7 8 9 10 10 11 12 12 12 11 10 9 9 9 8 7 7 8 8 9 9 9 10 10 10 9 8 6 7 8 8 8 8 8 7 8 8 nan
nan 8 8 9 9 9 10 10 10 11 10 10 9 9 9 12 15 18 19 21 21 21 20 19 18 17 15 13 11 9 8 7 7 8 9 9 9 9 9 9 8 7 7 8 10 10 9 8 7 5 5 6 7 8 8 8 8 7 7 6 6 7 8 9 8 8 8 10 12 14 14 13 11 9 8 7 8 8 9 10 10 9 8 7 6 5 5 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 12 12 10 9 9 9 10 10 11 10 9 8 8 9 10 10 10 11 10 11 11 11 11 12 14 14 11 9 8 9 9 9 9 10 10 9 8 7 8 8 8 8 9 10 11 11 11 11 10 10 10 9 8 8 8 8 8 8 9 10 9 9 8 7 5 5 6 7 8 8 7 7 7 7 nan
nan 8 8 9 9 9 9 10 11 12 12 11 11 10 11 12 14 16 16 17 17 17 17 16 15 13 12 10 8 6 6 5 5 6 7 8 9 9 9 9 9 8 8 9 9 9 9 8 7 6 6 6 8 9 9 9 8 7 7 7 7 8 8 9 9 9 10 12 12 12 11 10 9 8 8 8 9 9 10 10 10 10 9 8 7 6 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 10 10 11 11 10 9 8 8 9 10 11 11 10 9 8 9 9 9 9 9 9 10 10 10 10 10 11 11 9 8 8 8 8 8 9 9 9 9 8 8 9 9 8 8 8 8 8 8 9 9 10 11 10 10 9 10 9 9 8 7 8 8 7 6 6 5 4 4 5 6 7 7 7 7 7 7 nan
nan 8 8 8 8 8 9 10 11 11 11 11 10 10 11 12 13 13 14 14 15 15 14 14 13 12 11 9 7 6 5 5 5 5 6 7 8 8 9 9 10 10 10 10 10 10 9 10 9 8 8 8 9 10 10 10 8 7 6 7 7 8 8 8 9 10 11 10 9 8 7 7 7 8 8 8 9 10 10 10 10 10 10 10 10 9 8 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 10 9 8 8 8 9 11 11 10 9 9 8 8 7 7 7 8 9 10 11 10 9 9 9 9 9 9 9 8 8 9 8 8 8 8 9 10 11 10 10 9 8 7 7 7 7 8 9 9 9 10 10 10 9 8 7 7 6 5 5 5 4 4 5 5 6 7 7 7 7 7 7 nan
nan 8 8 7 7 7 8 9 10 10 10 10 10 10 10 11 12 13 13 14 14 13 13 12 12 12 11 10 8 7 7 7 7 7 7 8 8 9 9 10 10 10 10 10 10 9 9 10 11 11 11 11 12 13 13 11 8 6 5 6 7 7 8 9 9 9 9 8 7 6 6 7 7 8 8 8 9 9 9 9 9 9 11 12 11 10 9 8 7 8 8 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 7 8 8 8 8 8 7 7 6 6 7 8 9 10 11 11 10 8 8 8 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 8 7 7 8 7 8 8 9 11 11 10 9 8 7 7 5 5 5 5 5 6 6 7 7 7 7 7 7 7 nan
nan 9 8 7 7 7 8 8 9 10 10 10 10 10 10 10 11 13 13 13 13 13 12 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 11 12 13 14 14 14 14 13 10 7 6 5 6 7 8 9 9 9 8 7 7 7 7 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 8 7 6 6 7 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 9 9 10 10 9 9 8 8 7 7 6 6 6 6 6 5 5 5 6 7 8 9 10 10 10 9 8 8 8 9 10 10 10 9 8 8 9 9 9 9 9 8 8 8 9 10 11 10 9 8 8 8 8 9 9 10 10 11 12 11 10 9 8 6 6 6 6 6 7 7 8 8 8 8 7 7 7 nan
nan 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 11 12 13 13 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 11 12 14 15 15 15 14 11 9 7 6 7 8 9 10 11 10 9 8 8 8 8 9 8 8 8 8 8 9 8 8 8 8 7 6 5 5 5 6 6 6 5 5 5 6 7 8 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 6 6 5 5 5 6 7 7 8 8 8 8 9 9 8 8 8 8 9 10 9 8 8 8 8 8 8 8 8 8 8 7 7 9 9 9 9 8 9 9 9 9 10 10 10 11 12 12 12 11 10 8 8 7 7 6 6 7 8 8 8 8 8 8 8 nan
nan 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 9 9 8 8 7 7 8 8 9 9 10 11 12 13 14 15 15 15 13 10 8 8 9 10 11 12 13 12 11 10 10 9 9 9 8 8 9 9 9 8 8 8 8 8 7 6 6 5 5 5 5 6 6 6 6 5 5 6 7 8 9 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 7 8 8 9 9 9 9 8 8 8 8 8 8 8 9 8 8 7 7 7 7 6 6 6 7 8 9 8 8 8 8 8 8 9 10 9 9 9 9 9 10 10 10 10 11 11 10 9 8 7 6 5 6 7 7 8 8 8 9 9 8 nan
nan 7 8 9 9 10 10 10 10 11 12 12 12 12 11 11 11 10 11 12 12 12 13 13 12 11 11 11 11 11 10 10 11 11 10 9 8 7 7 6 6 7 8 9 10 11 12 13 14 14 14 14 14 12 11 10 10 12 13 14 14 13 12 10 10 9 9 9 9 8 9 9 9 9 9 9 9 9 8 7 6 6 7 7 7 7 7 8 8 7 6 6 6 6 7 8 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 6 6 7 6 6 6 6 6 6 7 7 7 7 8 8 9 10 10 10 11 10 10 9 9 8 8 9 9 9 8 8 7 7 7 6 5 5 6 8 9 10 9 9 8 8 8 9 10 10 9 8 8 8 8 9 9 8 8 9 10 10 9 8 7 6 7 7 7 6 7 7 7 8 8 7 nan
nan 7 7 7 8 9 10 10 11 12 13 13 13 12 11 10 10 10 11 12 12 12 13 13 12 11 10 10 10 10 10 10 11 11 10 9 8 7 7 7 7 8 9 10 11 12 13 13 14 14 14 13 13 12 12 12 13 13 14 14 13 12 10 9 8 8 9 9 10 10 10 10 10 10 10 10 11 11 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 7 7 7 6 6 6 6 6 7 7 7 8 8 8 8 9 9 10 9 9 9 9 9 9 9 8 8 8 9 9 9 8 8 8 6 6 6 7 9 10 10 10 9 9 9 9 10 11 10 9 8 7 7 7 8 8 8 8 9 9 9 8 8 8 8 9 9 7 6 6 6 7 7 7 6 nan
nan 7 7 7 7 8 9 10 11 12 13 13 13 12 11 11 10 10 11 12 12 12 13 12 12 11 11 11 11 11 11 11 11 11 10 10 9 8 8 8 8 9 9 10 11 11 12 13 13 14 13 13 13 12 13 13 14 13 13 13 12 11 10 9 8 8 9 11 11 12 12 12 12 11 11 11 11 11 10 8 8 7 7 8 8 8 8 8 8 8 9 9 9 9 8 7 7 7 7 7 7 6 6 6 6 7 7 7 7 8 8 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 8 7 7 8 9 10 10 10 9 7 6 6 8 9 10 10 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 8 8 8 7 8 9 10 10 9 8 8 8 8 7 7 6 nan
nan 9 8 8 8 8 9 10 11 11 12 12 13 12 12 12 11 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 9 8 8 8 8 8 9 9 10 10 11 11 12 12 12 12 12 12 12 12 12 13 13 13 12 11 10 9 9 10 11 12 12 12 12 12 11 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 8 8 8 7 7 6 6 7 7 7 8 9 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 9 8 8 8 8 8 8 7 8 9 10 10 10 10 9 8 7 7 8 9 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 7 7 7 8 10 10 10 10 9 9 9 8 7 7 nan
nan 10 10 9 9 9 9 9 9 10 10 11 12 12 13 13 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 11 10 9 8 8 7 7 8 8 9 10 10 11 12 12 12 12 12 12 11 10 11 11 12 12 11 9 8 8 9 10 12 12 12 11 11 10 9 9 8 7 6 5 5 6 7 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 9 10 11 11 12 12 12 11 11 11 11 11 10 10 10 10 11 11 12 11 11 9 8 8 8 9 9 9 9 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 9 9 8 7 6 7 8 9 10 10 9 9 9 9 8 8 7 nan
nan 11 10 9 9 9 9 9 8 9 9 9 10 11 12 12 11 10 10 10 10 10 10 10 10 11 11 12 11 11 11 11 11 12 12 11 10 9 8 7 7 7 7 8 9 10 11 12 13 14 14 14 13 13 12 12 11 12 12 11 10 8 7 7 9 11 12 12 10 9 8 7 7 7 6 5 4 4 4 6 7 8 9 9 9 8 8 8 8 9 9 9 9 8 8 7 6 7 8 8 9 8 7 7 7 8 8 8 8 7 7 7 9 10 10 10 10 10 10 10 10 10 10 9 9 8 9 10 10 10 10 9 8 8 9 9 9 10 11 11 10 10 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 11 11 10 10 9 8 7 7 8 9 10 10 9 9 8 8 8 8 8 8 nan
nan 11 10 9 9 9 9 8 8 7 7 8 9 10 11 10 9 9 9 9 9 9 10 10 10 11 12 12 12 11 11 11 11 11 11 11 11 10 9 8 8 7 8 9 10 11 12 13 14 14 14 14 14 13 13 13 13 13 12 11 10 10 10 10 10 11 11 10 9 7 6 6 6 6 5 5 5 6 7 8 8 9 9 9 8 8 8 8 8 9 9 9 8 8 7 7 6 7 8 9 10 9 8 7 7 8 9 10 10 9 7 7 7 8 9 9 9 9 9 9 9 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 9 10 10 10 10 9 9 10 11 11 11 11 11 10 10 9 9 9 10 9 9 9 10 10 11 12 12 12 11 11 11 11 10 10 9 8 7 8 9 10 10 10 9 8 8 8 8 7 7 7 nan
nan 11 10 9 9 8 8 8 8 7 7 8 9 10 10 9 8 8 8 9 9 10 10 10 10 11 12 12 12 12 11 12 12 12 12 12 12 11 10 9 9 9 9 10 11 11 11 12 12 12 13 12 12 12 12 13 13 13 12 11 11 12 12 12 11 10 9 8 7 7 6 6 7 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 7 7 8 9 10 11 11 11 10 10 9 9 10 11 11 10 8 8 8 8 9 9 8 8 8 8 8 9 9 8 7 6 6 7 7 7 7 7 7 8 8 8 9 9 9 9 8 9 9 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 10 9 8 8 9 10 10 10 10 9 9 9 9 8 8 7 7 nan
nan 10 9 9 9 8 8 8 8 8 8 9 9 10 10 9 9 8 8 9 10 11 11 10 10 11 11 12 12 12 12 12 12 12 12 12 12 11 10 10 9 9 9 9 9 9 10 10 10 11 11 11 10 10 11 11 12 12 11 11 12 12 12 10 9 7 6 6 7 8 8 8 8 8 9 9 10 11 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 10 9 9 9 10 10 9 9 8 8 8 8 7 7 7 7 7 8 8 8 7 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 9 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 nan
nan 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 11 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 10 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 10 11 10 10 10 11 11 10 9 7 5 5 6 8 9 9 8 8 8 9 10 12 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 6 7 7 7 8 7 7 7 6 6 7 8 8 8 7 7 7 8 8 8 8 7 7 7 8 7 7 8 9 10 10 9 9 8 8 8 8 7 7 7 8 8 9 9 9 9 9 9 10 10 10 10 10 11 10 10 10 9 9 9 10 10 10 10 9 9 9 nan
nan 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 11 11 10 9 9 9 9 9 9 9 9 10 10 10 9 9 8 7 7 7 8 8 8 8 9 9 9 10 10 10 9 9 9 10 11 10 10 9 9 10 10 9 8 7 7 8 9 9 9 8 7 8 9 11 13 14 14 14 12 11 10 10 10 10 10 9 9 9 9 9 8 9 9 9 9 9 10 9 9 8 8 8 8 8 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 7 7 8 8 8 8 7 7 8 8 7 7 8 9 9 10 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 10 11 11 10 9 8 8 9 10 10 10 10 10 9 9 nan
nan 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 10 10 9 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 11 11 11 10 9 9 10 11 12 11 10 9 9 10 10 10 9 9 10 11 12 12 13 14 13 12 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 10 10 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 7 6 7 8 8 9 8 8 8 8 8 8 8 8 9 8 8 7 7 8 9 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 10 10 11 10 9 8 8 9 10 10 11 11 10 9 9 nan
nan 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 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 8 8 8 9 10 11 11 11 11 10 10 10 12 13 14 13 11 10 10 10 11 11 12 12 12 12 11 11 11 10 10 10 10 10 10 11 10 10 10 10 10 9 9 9 9 10 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 9 8 6 6 6 7 9 9 8 8 8 8 8 8 9 9 8 8 7 7 7 7 8 9 9 9 9 9 8 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 9 10 10 10 11 10 9 9 10 10 10 11 11 10 10 9 nan
nan 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 8 8 8 9 10 10 11 11 11 11 11 11 12 14 15 15 15 13 12 12 12 12 13 14 13 12 10 9 8 8 8 8 8 8 8 9 10 11 11 11 10 9 9 9 10 10 10 10 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 9 9 9 8 6 6 6 7 9 8 8 8 7 7 7 8 9 9 8 7 6 6 5 6 7 8 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 10 10 9 9 10 nan
nan 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 12 12 13 14 15 16 15 14 14 13 13 13 13 12 11 10 9 8 8 8 8 7 7 8 9 11 12 12 11 10 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 8 8 9 8 8 8 9 9 9 8 7 7 7 8 8 8 7 7 7 7 6 7 9 9 8 7 6 5 5 5 6 7 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 9 9 8 8 8 9 9 nan
nan 9 10 10 10 10 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 11 12 13 14 13 13 13 12 11 10 10 10 9 9 9 8 8 8 8 9 9 10 10 9 9 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 7 7 7 8 8 9 9 9 10 10 10 9 8 8 8 8 8 7 7 7 7 8 7 7 7 8 8 8 7 7 6 5 5 6 6 7 7 8 8 7 7 7 7 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 8 8 7 7 8 8 nan
nan 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 10 11 11 10 10 9 8 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 9 10 10 10 10 9 8 8 9 9 10 10 9 9 9 10 11 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 8 8 8 8 8 9 10 11 11 11 9 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 9 9 9 10 10 10 11 10 10 10 10 9 9 10 10 10 10 10 10 11 11 11 10 10 9 9 8 7 7 7 nan
nan 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 10 11 11 10 9 9 8 7 7 8 8 9 9 9 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 10 11 11 10 8 7 7 8 7 7 6 7 7 8 8 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 9 8 7 8 nan
nan 11 10 11 11 11 10 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 8 7 7 8 8 9 10 10 10 10 10 10 11 11 11 10 10 10 11 11 11 10 11 11 12 13 13 13 12 11 11 11 11 11 11 11 10 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 8 8 8 8 8 9 10 11 9 7 6 7 7 7 7 6 6 6 7 7 8 8 8 8 8 8 8 9 10 10 10 10 10 10 11 11 11 11 11 11 10 11 11 10 10 10 9 8 9 9 10 10 10 9 9 9 9 9 10 11 11 11 11 11 11 10 10 9 9 nan
nan 11 11 11 11 11 10 9 8 8 8 8 8 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 9 9 9 8 8 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 9 10 10 10 10 10 10 10 10 11 11 10 10 10 11 11 10 10 10 11 12 13 14 14 13 12 11 10 10 10 10 9 9 8 8 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 7 8 8 9 10 9 7 7 7 8 8 7 7 7 7 7 7 7 8 8 9 9 9 10 11 11 11 11 11 11 11 11 12 12 12 12 11 11 10 10 10 10 9 8 8 9 10 10 10 9 9 9 9 9 9 10 10 11 11 11 12 12 12 11 11 10 nan
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nan 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 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 12 13 15 16 16 15 12 10 9 8 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 10 11 12 13 13 13 13 12 11 11 10 10 9 9 9 9 9 8 8 7 8 8 8 8 8 8 8 7 7 6 6 8 9 9 8 8 9 9 9 8 9 10 11 12 12 12 11 11 11 11 11 9 9 9 9 10 11 11 10 9 8 7 7 8 9 10 10 9 9 8 7 8 8 9 9 10 10 10 11 10 9 9 9 10 10 11 12 nan
nan 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 8 8 7 6 6 6 7 8 9 9 9 9 8 8 8 7 7 7 8 8 8 9 8 8 8 8 7 7 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 9 10 10 11 12 14 15 16 15 14 11 9 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 8 7 8 8 9 9 9 9 10 11 12 13 14 14 14 14 13 12 12 11 10 10 9 9 9 8 7 7 8 8 8 8 8 8 8 8 7 8 9 10 9 8 8 8 9 9 9 9 9 9 10 11 12 12 12 12 11 12 12 12 12 12 11 11 11 10 8 7 5 4 4 5 7 8 9 8 8 8 8 8 8 9 10 11 12 12 11 10 9 9 9 10 11 12 12 nan
nan 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 9 8 7 6 5 4 5 6 8 10 10 10 10 10 9 9 8 8 8 8 9 9 9 8 8 8 7 7 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 9 9 9 11 12 13 14 15 16 15 14 11 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 9 10 10 9 8 7 8 8 9 9 10 10 10 11 11 13 14 14 15 14 14 14 13 12 11 11 10 10 9 8 8 8 8 8 8 8 8 8 7 7 9 10 12 12 10 9 9 8 9 9 10 10 9 9 9 10 11 12 12 11 11 12 12 13 13 12 11 12 12 11 9 6 4 4 5 6 7 7 7 7 7 7 7 7 7 8 10 12 12 12 11 9 9 9 9 10 11 12 12 nan
nan 11 11 11 11 11 11 10 9 8 8 8 9 9 9 9 9 7 6 4 3 4 5 8 10 11 11 11 11 10 10 9 8 8 8 9 9 8 8 8 7 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 9 10 11 12 14 15 16 16 15 14 11 10 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 10 9 10 10 10 9 8 8 8 9 10 11 11 10 9 10 11 12 13 14 14 15 14 13 13 12 11 11 10 9 8 8 8 7 8 8 8 8 7 7 7 8 10 12 12 11 10 9 8 8 9 10 10 10 10 10 10 11 11 11 11 11 11 12 12 11 10 11 12 13 13 11 8 6 6 6 7 7 6 6 6 6 7 7 7 7 8 9 11 12 12 10 9 9 9 10 11 12 12 11 nan
nan 10 10 11 11 11 11 10 9 9 8 9 9 9 8 8 7 6 4 3 4 5 7 9 10 11 11 11 11 10 10 9 8 8 8 8 8 8 7 6 6 6 5 6 6 6 7 7 7 7 7 8 8 8 8 8 8 9 9 10 12 14 15 16 16 16 14 13 11 10 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 11 10 10 8 8 8 9 10 11 11 10 9 10 11 11 12 13 14 15 15 14 13 11 11 10 10 9 9 8 8 8 8 8 8 8 7 7 7 6 7 8 10 10 10 9 8 7 8 9 10 11 11 11 11 11 10 10 11 11 11 11 11 10 10 10 12 13 14 12 9 8 7 6 6 6 5 5 6 6 8 10 10 10 9 10 11 12 12 11 9 9 8 9 9 9 9 7 nan
nan 9 10 10 10 11 11 11 10 10 9 9 9 8 7 7 6 5 4 5 6 7 8 9 10 10 10 10 10 9 9 8 8 7 7 7 7 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 9 10 11 13 15 16 17 17 16 14 12 11 10 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 11 10 9 8 8 9 9 10 11 10 10 10 10 11 11 12 13 15 16 15 14 13 11 10 10 10 9 9 9 9 9 9 9 8 8 8 8 7 5 4 5 7 9 9 9 8 7 8 9 10 11 11 11 11 10 9 10 10 10 11 11 11 10 9 10 11 11 11 10 8 7 6 5 5 4 5 5 6 7 10 12 14 13 12 11 12 13 12 11 9 8 7 6 5 4 3 3 nan
nan 8 9 9 10 10 11 11 10 9 9 9 8 8 8 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 7 7 7 7 6 6 6 5 5 6 6 7 8 8 9 9 9 9 9 9 8 9 9 9 9 9 10 11 13 15 17 17 17 16 14 12 10 9 9 9 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 11 10 10 9 9 10 10 10 11 11 10 11 11 11 12 12 14 16 16 16 15 13 12 10 10 10 10 10 10 9 10 10 9 8 7 8 8 8 6 5 6 8 9 10 10 9 8 8 9 9 10 10 10 10 10 9 9 10 11 11 10 9 9 8 9 9 9 8 7 6 5 5 4 4 4 5 6 7 9 11 13 15 16 15 13 13 13 13 11 8 6 6 5 3 1 1 3 nan
nan 9 9 10 10 10 10 8 7 7 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 7 7 8 9 10 10 10 10 10 10 10 10 9 9 9 10 10 11 12 13 15 16 17 16 15 14 12 10 9 8 8 9 9 10 10 9 8 8 8 7 8 8 9 9 9 9 9 9 10 10 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 14 15 16 16 16 16 14 13 12 11 11 12 12 11 10 10 10 9 9 8 8 8 8 7 7 9 10 11 11 11 10 10 9 9 10 10 10 10 9 9 9 10 10 11 10 9 8 7 8 8 8 8 7 5 5 4 4 4 4 5 6 7 9 11 12 14 16 18 17 16 15 15 14 11 8 5 4 4 3 3 5 8 nan
nan 9 10 10 11 10 8 6 4 5 6 7 8 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 9 9 10 11 11 11 11 11 10 10 10 10 10 10 11 11 12 14 15 16 16 16 15 15 14 13 11 9 8 7 7 8 8 9 10 11 10 9 8 8 8 8 8 9 10 9 9 10 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 13 14 14 14 14 14 15 15 14 13 13 13 13 13 12 11 10 10 10 9 9 8 8 8 7 8 10 11 11 11 11 11 11 10 10 11 10 10 9 9 9 9 9 10 10 9 8 7 7 8 8 8 7 6 5 4 4 4 4 5 6 8 9 11 12 13 14 17 19 20 19 18 16 15 12 8 5 4 4 6 8 10 12 nan
nan 9 9 10 11 11 9 6 5 5 7 8 9 9 9 9 9 8 7 7 7 7 7 7 8 8 8 9 9 10 11 12 12 11 10 9 9 10 10 11 11 12 13 12 12 12 11 11 11 11 12 12 13 14 15 16 16 16 15 14 14 13 13 12 11 10 9 8 7 7 8 9 10 11 11 10 9 8 7 7 8 8 9 10 10 10 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 14 15 14 14 13 13 13 13 13 12 11 10 10 10 10 9 9 8 8 9 10 11 11 11 11 11 11 11 11 12 12 11 9 8 8 8 8 9 9 8 8 8 8 8 8 7 7 6 4 3 3 4 5 6 8 10 11 12 13 14 16 19 21 22 22 18 14 12 10 8 7 7 8 9 11 12 13 nan
nan 7 8 10 11 11 10 9 8 8 9 9 9 9 9 8 8 7 6 6 6 7 7 8 8 8 9 9 11 13 15 17 17 16 14 12 11 11 11 12 12 13 14 14 14 14 14 14 15 15 15 15 15 15 15 15 15 14 13 13 12 12 12 12 12 11 10 9 9 9 9 10 10 10 10 10 9 8 7 7 7 8 9 10 10 10 10 10 10 10 10 9 9 10 10 11 11 11 11 11 11 11 12 12 11 11 11 11 12 13 14 15 15 14 13 12 12 12 12 11 10 11 11 11 11 10 10 10 11 11 11 11 11 10 9 8 8 11 13 13 11 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 5 4 3 3 5 6 9 11 12 13 13 13 14 17 21 23 25 22 16 11 8 7 8 9 10 11 13 14 14 14 nan
nan 6 7 8 9 10 10 10 10 10 10 9 9 8 8 7 6 6 5 5 6 7 8 8 9 9 9 9 11 13 16 18 18 17 15 13 12 12 12 14 15 16 16 17 17 17 18 18 18 18 17 17 16 14 13 13 12 11 11 11 11 12 12 12 12 12 11 11 11 11 11 10 9 9 8 8 8 7 7 7 8 9 9 10 9 9 8 8 8 9 9 9 9 9 10 11 11 12 12 12 12 12 12 12 12 12 13 13 12 13 14 15 16 15 13 12 12 12 13 11 10 11 11 11 11 10 10 10 11 11 12 12 11 9 7 6 6 9 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 7 6 3 2 2 4 6 9 11 12 12 13 13 14 16 18 20 22 21 16 11 7 6 6 8 10 12 14 16 18 18 17 nan
nan 7 7 8 8 9 9 10 10 10 10 9 8 7 7 6 5 5 5 6 7 7 8 9 9 9 9 9 10 12 14 16 16 15 14 12 12 13 14 16 17 18 18 18 18 18 18 18 18 18 17 15 14 13 12 11 10 10 9 10 11 11 12 12 12 11 11 11 11 11 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 8 7 7 7 8 9 9 9 9 10 11 12 12 12 12 12 13 12 12 13 14 14 13 13 13 14 15 15 14 13 13 12 12 11 10 10 10 10 10 9 9 9 10 10 11 11 12 11 10 8 8 10 11 10 9 8 8 8 8 8 7 7 8 8 8 7 6 6 5 3 1 -0 0 2 6 9 10 11 12 12 12 13 15 17 18 18 16 11 7 4 4 5 7 9 11 13 16 19 20 19 17 nan
nan 8 8 8 8 8 9 9 10 10 10 9 8 7 6 6 5 6 6 7 7 8 9 9 9 9 9 9 9 11 13 14 14 13 12 11 12 13 16 17 18 18 17 16 15 14 14 15 15 14 14 13 12 12 11 11 10 10 9 9 10 11 11 11 11 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 7 6 7 7 8 9 10 10 11 12 13 13 12 12 12 13 13 13 13 13 13 13 12 12 12 13 13 13 14 14 13 11 8 8 8 8 8 8 7 7 8 9 9 10 9 9 9 9 10 11 12 11 9 8 7 6 6 7 7 7 8 8 8 7 5 4 2 1 -1 -1 -0 2 6 9 10 11 11 11 12 14 16 18 19 18 16 11 6 3 2 4 7 10 12 13 16 19 21 21 19 15 nan
nan 8 8 8 8 9 9 9 10 10 9 8 7 7 6 6 6 6 7 7 8 9 9 9 9 9 8 8 9 11 13 14 14 12 11 11 11 14 16 16 16 15 13 12 11 10 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 10 11 12 11 11 10 10 10 9 9 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 7 7 7 8 9 10 11 12 12 13 13 13 12 12 12 12 12 11 11 11 11 11 11 10 10 10 11 12 14 14 13 10 8 7 6 6 6 5 6 6 7 8 9 9 8 8 8 8 10 11 11 9 8 8 7 6 6 6 7 7 7 6 5 3 1 0 -1 -1 0 2 5 8 10 11 11 12 12 14 16 18 20 22 22 20 17 12 9 8 7 9 10 12 14 16 20 23 23 21 16 12 nan
nan 8 8 8 9 9 9 10 10 9 9 8 7 7 6 6 6 6 7 8 9 9 10 10 10 10 9 9 10 12 14 14 13 12 11 10 11 13 14 14 13 11 10 9 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 12 13 12 12 11 10 10 9 8 8 8 7 7 7 8 8 9 9 10 10 10 10 10 9 8 8 9 10 11 12 12 13 13 13 13 13 13 12 12 11 10 10 9 9 9 9 10 10 10 10 11 12 13 13 11 9 8 7 6 5 5 5 6 7 8 10 10 9 8 7 7 8 10 10 9 8 8 9 9 7 6 6 5 5 3 2 0 -1 -1 -1 0 3 6 10 12 13 13 13 14 15 17 19 20 22 22 22 21 19 17 14 12 11 11 11 12 14 17 20 24 24 21 16 11 8 nan
nan 9 9 9 9 9 10 10 10 9 9 9 8 7 7 7 7 7 8 8 9 10 11 11 12 11 11 11 12 14 14 14 12 11 10 10 11 13 13 12 11 10 8 8 8 8 8 8 9 9 9 9 9 9 8 7 6 6 7 8 9 11 12 13 13 12 11 10 9 9 8 8 7 7 7 6 7 7 8 9 9 9 10 10 10 9 9 10 11 11 11 11 12 12 13 13 13 13 12 12 11 10 10 9 9 9 9 9 10 10 10 10 10 11 11 11 10 9 7 6 6 6 6 7 8 9 11 12 12 10 8 8 9 10 11 10 9 8 8 10 9 8 6 5 3 2 1 -0 -0 1 2 5 8 12 16 17 18 18 17 18 19 20 21 22 22 21 19 17 15 14 12 11 10 10 11 12 14 16 19 23 24 21 16 10 7 7 nan
nan 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 9 9 10 11 12 13 14 14 14 14 13 13 14 14 13 11 10 9 10 11 12 11 11 11 10 9 8 8 8 9 9 10 10 9 9 9 8 8 6 6 6 7 8 10 11 12 12 12 11 11 10 9 9 8 8 8 7 7 6 7 7 8 8 8 8 9 9 9 9 10 10 11 11 11 11 11 11 11 12 12 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 7 6 6 7 9 9 10 10 12 13 12 11 9 10 12 13 13 12 11 10 11 12 11 11 9 7 5 5 5 6 8 10 12 15 19 22 22 22 20 19 19 20 20 20 19 18 17 15 12 11 9 8 7 7 8 11 13 15 17 19 21 22 19 16 12 8 7 8 nan
nan 9 9 9 9 10 10 10 10 9 9 9 8 8 9 10 10 11 12 12 13 14 15 16 16 15 15 14 13 13 12 11 10 9 10 10 11 11 11 11 10 10 10 10 9 9 10 10 10 10 10 9 8 7 6 5 5 5 6 8 10 10 10 10 10 11 10 10 9 9 9 9 9 8 8 8 8 8 9 9 8 8 8 9 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 9 9 9 8 8 8 8 7 7 7 7 8 9 10 10 10 11 11 11 10 11 13 15 16 16 14 14 14 15 17 18 18 17 14 12 12 13 15 17 19 21 22 23 22 21 18 16 14 14 14 14 13 12 11 9 8 8 8 8 8 9 10 12 15 17 18 19 20 19 17 15 13 11 9 9 9 nan
nan 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 13 14 15 16 16 16 16 15 13 12 12 12 12 11 10 9 8 9 10 10 11 11 10 10 10 10 11 11 11 10 10 9 9 9 9 9 8 6 5 4 4 5 6 8 9 10 9 9 10 10 11 10 10 10 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 8 8 8 7 8 8 9 9 10 10 10 9 9 10 11 12 13 14 15 15 15 15 16 18 19 21 21 20 18 17 17 17 18 20 21 21 20 18 15 13 10 10 10 10 10 10 9 9 8 8 8 10 10 11 11 12 14 16 17 17 18 18 17 16 14 13 12 12 10 10 9 nan
nan 11 11 11 11 11 11 10 9 9 9 10 10 11 11 12 13 14 16 16 16 15 13 12 10 9 9 10 10 9 8 7 7 8 9 10 10 10 10 9 9 10 10 10 10 9 8 7 7 8 8 9 8 7 5 4 5 6 7 9 9 9 9 10 10 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 10 11 12 12 12 12 12 14 15 16 17 17 16 15 15 15 14 14 15 16 16 15 14 12 11 11 11 12 14 15 15 15 15 14 13 14 14 15 15 13 12 13 13 14 14 14 14 14 14 13 12 12 12 11 10 9 9 nan
nan 12 12 12 12 11 10 10 9 10 10 11 11 11 11 11 12 12 12 12 11 11 10 9 9 9 9 9 9 8 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 8 9 8 7 6 6 6 7 8 9 9 10 10 10 11 11 12 13 13 12 12 11 11 12 12 11 11 11 12 12 12 11 10 10 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 7 7 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 9 9 10 10 10 10 10 10 10 11 12 13 13 13 13 12 11 11 10 11 12 12 12 12 11 12 14 16 18 19 20 20 19 18 18 18 17 17 17 17 15 13 12 11 11 11 11 12 12 12 12 12 12 12 12 11 10 9 9 nan
nan 12 12 12 11 11 10 10 10 11 11 12 12 12 11 11 11 10 9 9 8 8 8 8 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 9 8 8 7 7 7 7 7 7 8 8 8 7 7 7 8 9 9 9 10 10 10 11 11 12 13 14 14 13 12 11 11 11 11 11 11 11 12 12 12 12 11 10 10 9 9 9 8 8 7 8 8 8 9 8 8 8 8 8 8 7 7 7 7 8 8 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 9 9 10 11 12 12 12 13 15 16 18 19 19 18 18 16 15 15 15 15 15 15 14 13 12 11 11 11 11 12 11 11 11 11 12 12 13 12 11 10 9 9 nan
nan 11 11 11 10 10 10 11 11 12 12 12 12 12 12 12 11 10 9 8 7 7 8 9 9 9 9 9 8 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 10 11 12 13 14 14 13 12 11 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 9 8 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 11 11 10 9 7 4 3 3 5 6 7 8 8 9 9 9 10 10 11 11 11 10 8 7 8 10 12 13 13 14 14 14 14 14 14 14 14 13 13 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 12 12 11 12 12 12 12 11 10 10 11 nan
nan 11 10 10 10 10 11 12 12 12 12 12 12 12 12 12 11 10 8 8 7 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 9 8 8 9 10 11 13 14 14 13 12 10 8 7 7 8 10 11 11 11 10 9 9 9 9 10 10 9 8 7 7 8 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 9 9 9 9 9 10 10 10 10 10 9 8 5 1 -1 -1 1 2 3 4 5 6 6 6 7 9 10 10 9 6 5 6 8 11 13 14 14 14 13 13 12 12 11 11 11 11 11 10 10 10 10 10 10 11 11 12 12 12 11 12 12 13 13 13 12 12 12 12 12 11 10 10 11 11 nan
nan 11 10 10 11 11 12 12 12 12 12 12 12 12 12 11 10 9 8 8 8 8 9 9 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 9 9 10 10 11 11 10 10 9 9 10 10 11 10 9 9 9 9 8 8 8 8 8 9 11 12 14 15 14 12 10 7 5 5 6 9 11 12 12 11 9 8 8 9 10 10 9 8 7 8 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 7 8 8 8 6 5 3 2 0 -1 -1 -0 1 1 1 2 4 6 7 7 5 3 4 7 11 14 14 13 12 12 12 11 11 10 9 9 10 10 11 11 11 11 10 9 9 10 10 11 11 11 11 11 12 12 13 13 12 12 12 12 12 11 10 10 11 12 nan
nan 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 10 9 8 8 8 9 10 10 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 9 8 7 7 7 8 8 8 8 8 9 10 12 15 15 14 13 11 8 5 5 6 8 11 12 12 10 9 9 10 11 11 11 10 10 10 12 13 13 12 11 11 12 12 11 11 11 12 12 12 11 11 11 10 10 10 9 9 8 7 6 5 5 4 4 4 5 7 8 9 10 9 9 8 5 3 2 1 0 0 1 2 4 5 5 5 4 5 9 13 18 18 15 12 10 10 10 10 10 10 9 9 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 13 13 13 11 10 9 10 11 12 nan
nan 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 11 11 12 12 12 12 11 11 11 11 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 12 10 8 7 6 7 8 9 9 9 8 8 9 10 12 14 15 14 13 12 10 8 7 7 8 9 10 10 10 10 11 13 15 14 14 14 15 15 16 15 14 13 13 13 13 12 11 11 11 11 11 10 10 11 11 10 10 11 10 9 7 5 3 2 2 2 2 3 5 8 9 10 11 11 10 10 9 8 7 5 5 5 5 7 8 9 9 9 10 13 18 21 22 19 15 11 9 8 9 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 12 12 12 13 13 12 11 10 9 10 11 12 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 13 14 15 15 15 15 14 13 13 12 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 11 10 8 7 7 7 8 9 10 9 9 9 9 9 10 11 13 13 13 13 12 11 10 9 9 8 8 8 8 9 10 11 13 13 13 15 17 19 19 18 16 13 12 12 12 12 11 10 10 10 10 9 9 9 9 8 9 10 11 11 9 8 6 4 3 3 4 5 6 8 9 10 10 9 9 9 9 9 9 8 8 7 8 9 10 11 13 14 16 18 21 23 23 20 16 13 10 9 8 9 9 9 10 10 10 10 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 12 12 13 13 13 12 11 10 9 10 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
2182 1933 1692 1518 1414 1301 1209 1165 1162 1180 1209 1251 1336 1516 1798 2104 2372 2587 2724 2879 2977 2805 2403 2005 1836 1912 2157 2295 2425 2587 2779 2976 3161 3283 3354 3385 3380 3350 3308 3254 3165 3079 3031 2969 2895 2821 2753 2678 2604 2581 2599 2640 2665 2635 2542 2400 2271 2178 2126 2103 2070 1974 1781 1474 1180 917 674 447 252 118 45 11 2 0 0 0 3 20 99 283 520 759 957 1108 1287 1450 1540 1629 1723 1806 1866 1896 1793 1623 1506 1363 1208 1091 1062 1110 1190 1269 1342 1333 1219 1062 974 987 1015 946 866 858 910 928 963 968 927 822 664 493 348 237 183 133 142 162 147 122 164 83 66 64 58 46 27 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
1691 1374 1123 975 857 732 625 552 514 503 500 491 492 575 786 1076 1379 1647 1844 2119 2346 2395 2333 2256 2219 2195 2225 2291 2405 2562 2749 2944 3126 3257 3330 3364 3374 3343 3278 3205 3113 3032 2991 2942 2872 2796 2732 2678 2625 2605 2609 2629 2631 2583 2477 2346 2238 2155 2070 1984 1880 1715 1436 1089 779 535 338 179 71 23 5 1 0 0 0 0 5 28 130 324 507 690 876 1037 1190 1295 1393 1494 1522 1545 1625 1588 1462 1267 1187 1154 1089 996 967 995 1096 1186 1229 1200 1096 949 840 814 864 829 768 760 810 845 868 885 856 751 582 398 253 137 104 87 65 50 67 121 98 65 52 49 49 43 30 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
1174 893 719 609 496 376 298 251 219 193 169 143 95 88 134 275 489 709 902 1179 1650 2211 2587 2705 2621 2425 2309 2328 2416 2557 2735 2922 3087 3207 3296 3333 3346 3303 3218 3141 3066 3008 2973 2934 2866 2784 2721 2691 2649 2625 2609 2599 2570 2497 2383 2262 2156 2066 1949 1790 1590 1342 1008 662 398 228 112 35 6 4 1 0 0 0 0 1 8 39 144 320 481 622 766 922 1052 1103 1129 1142 1143 1171 1218 1147 1079 1031 1029 1054 1031 972 1044 1030 1085 1129 1139 1103 1016 899 807 736 724 690 645 636 679 730 731 739 692 605 488 340 236 187 110 52 18 5 29 112 63 35 26 26 32 37 20 5 2 1 1 1 0 0 0 2 2 3 3 3 0 1 1 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
772 578 475 401 313 225 168 136 107 76 48 26 9 4 7 28 89 181 271 443 966 1862 2558 2865 2846 2644 2467 2417 2456 2565 2722 2901 3069 3191 3294 3312 3303 3244 3156 3088 3037 2986 2943 2898 2834 2764 2719 2705 2669 2634 2601 2561 2490 2370 2209 2067 1927 1791 1634 1430 1174 886 575 304 131 52 18 3 0 0 0 0 0 0 0 1 6 33 106 229 373 517 649 765 842 839 772 761 764 760 790 751 715 740 817 901 941 934 961 970 996 1027 1030 992 925 838 765 697 633 572 532 532 558 574 555 538 508 461 382 268 172 109 55 21 6 3 1 5 8 7 6 4 6 11 5 1 0 1 1 1 0 0 2 6 9 10 9 6 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
521 400 348 315 264 191 132 105 73 40 18 3 2 1 0 1 5 14 32 92 354 1105 2006 2659 2897 2822 2642 2528 2517 2592 2727 2906 3094 3205 3300 3295 3265 3199 3114 3049 3012 2960 2911 2867 2812 2761 2731 2703 2667 2599 2498 2375 2228 2063 1899 1709 1522 1338 1144 932 705 473 261 101 27 4 0 0 0 0 0 0 0 0 0 0 2 23 69 155 281 421 551 659 660 646 577 549 544 531 533 539 530 538 559 598 653 708 740 735 739 783 803 778 738 666 610 565 515 463 429 422 404 396 379 353 317 269 212 149 92 36 9 2 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0 0 5 8 10 10 8 3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
375 295 274 270 241 168 92 76 58 34 15 4 1 0 0 0 0 0 1 9 55 469 1354 2236 2756 2883 2779 2650 2608 2658 2777 2941 3113 3235 3289 3271 3228 3159 3078 3011 2978 2929 2901 2870 2822 2772 2733 2694 2631 2486 2265 2009 1749 1546 1446 1251 1013 806 625 462 306 160 68 15 2 0 0 0 0 0 0 0 0 0 0 0 1 18 57 122 197 283 410 599 571 556 519 496 475 428 353 259 216 148 153 245 365 435 446 449 416 442 485 498 498 455 402 364 339 309 268 228 215 228 228 205 160 114 86 54 25 7 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 2 1 0 1 1 2 3 2 0 0 0 0 0 1 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
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213 151 126 129 136 111 54 55 63 50 25 6 0 0 0 0 0 0 0 0 0 34 463 1250 2121 2736 2895 2820 2766 2805 2911 3038 3146 3209 3215 3181 3136 3071 2999 2935 2879 2857 2864 2865 2835 2762 2633 2425 2087 1805 1441 1153 907 652 421 237 137 78 40 19 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 17 48 110 165 217 288 308 326 338 313 275 224 140 57 31 35 34 36 51 76 99 121 109 70 64 98 132 141 126 108 90 81 75 58 34 26 26 25 18 8 1 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 3 14 22 18 9 1 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
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