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 8 8 7 6 6 6 7 8 9 9 9 9 9 10 10 10 9 8 7 7 7 7 7 7 6 5 5 7 9 10 9 8 8 7 6 7 8 8 7 7 7 7 8 8 8 8 8 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 10 11 10 10 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 10 10 11 12 12 11 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 6 6 7 8 8 8 9 9 8 8 8 8 8 7 7 7 7 nan
nan 8 7 7 6 7 7 8 9 9 10 10 11 11 11 10 9 8 7 7 7 7 7 7 7 6 6 7 8 8 8 8 7 8 7 7 8 9 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 7 7 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 9 9 10 10 11 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 7 7 7 8 9 10 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 6 6 6 6 7 8 8 9 9 9 8 8 8 8 7 8 8 nan
nan 8 7 7 7 7 8 9 9 10 10 11 12 12 12 10 8 8 7 7 7 7 7 6 6 6 7 8 8 8 8 7 7 7 7 8 8 9 8 8 8 8 8 8 8 8 8 8 7 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 9 9 9 8 7 7 7 6 6 6 7 7 8 8 9 10 10 10 10 9 9 8 8 8 8 8 8 9 8 8 8 8 8 7 8 8 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 8 8 8 7 7 8 8 9 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 8 7 7 6 6 6 7 8 8 9 9 9 9 8 8 8 8 8 nan
nan 7 7 7 7 8 9 10 10 10 11 11 12 12 11 9 8 7 7 7 7 7 7 6 6 7 7 8 8 8 7 7 6 6 7 7 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 8 8 8 8 8 8 9 9 9 8 8 7 7 6 6 7 7 7 8 8 9 10 11 11 11 10 10 9 8 8 8 9 9 9 9 9 8 8 8 8 8 9 10 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 10 11 11 12 12 12 11 10 10 10 10 9 9 9 9 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 6 6 7 7 8 9 9 9 9 8 8 8 8 nan
nan 8 7 7 7 8 9 10 10 11 11 12 12 12 11 9 8 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 6 7 7 7 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 8 9 9 8 8 9 9 9 9 8 8 7 6 7 7 7 7 7 8 9 10 12 13 13 12 11 10 9 9 9 9 10 10 10 9 9 8 9 9 9 10 11 12 13 13 14 14 14 14 13 13 12 11 11 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 10 11 12 12 12 12 12 12 12 11 11 10 10 10 10 9 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 7 7 6 7 7 8 9 9 9 9 9 8 8 nan
nan 8 8 8 8 8 9 10 10 11 11 11 11 10 9 8 8 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 10 10 9 9 9 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 10 9 8 8 8 9 9 9 9 8 7 7 7 7 7 7 7 8 8 10 12 13 14 14 14 12 11 11 10 10 10 11 10 10 10 9 10 11 12 13 14 15 16 16 16 16 16 16 15 15 13 12 12 11 11 11 12 12 12 11 11 11 10 10 10 10 10 10 9 9 9 10 12 12 13 13 13 14 14 14 13 12 12 11 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 9 8 7 7 6 7 7 8 8 9 9 9 8 8 nan
nan 8 9 8 8 8 8 9 11 12 12 11 9 7 7 7 7 7 8 7 7 7 7 7 8 8 8 9 8 8 8 9 9 9 10 10 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 8 8 8 9 10 9 9 8 8 8 7 6 6 7 8 8 9 9 10 12 14 15 16 15 15 14 14 13 12 11 10 10 10 10 11 12 14 16 17 18 18 19 19 19 19 19 18 17 16 14 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 11 12 12 12 13 14 15 14 14 13 13 12 12 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 8 8 7 7 7 8 8 9 9 9 9 nan
nan 8 9 9 9 8 9 10 11 11 11 9 7 6 6 7 7 8 8 8 8 7 7 7 7 8 9 9 10 9 9 9 9 10 11 11 12 12 11 11 11 11 10 10 9 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 9 10 10 10 10 10 9 9 8 8 9 10 10 9 9 8 8 7 7 8 9 9 9 9 10 10 11 13 14 16 18 18 18 17 16 14 12 10 9 9 10 11 13 15 17 17 17 18 19 20 20 21 21 21 19 18 17 16 14 13 13 13 14 14 13 13 13 12 12 12 12 12 12 12 11 11 11 10 11 11 11 12 13 14 14 14 14 14 15 15 14 12 11 11 11 11 10 9 9 9 9 10 9 9 8 8 9 9 9 9 9 9 10 10 10 9 8 8 7 7 8 8 8 9 9 9 nan
nan 8 9 9 9 9 9 10 10 9 9 8 7 6 7 7 7 7 8 8 8 8 7 7 7 8 9 10 10 10 9 9 9 9 10 11 11 11 10 10 10 10 10 9 8 8 9 9 10 10 10 10 10 10 10 9 8 8 9 8 8 8 9 9 9 9 10 10 9 9 9 10 11 10 9 9 9 8 9 10 10 11 10 10 10 11 11 12 13 15 17 19 19 18 16 14 12 10 8 7 7 9 12 14 15 15 15 15 16 18 18 20 20 20 20 19 18 17 16 15 15 14 15 15 15 14 14 14 13 13 13 13 13 13 13 12 12 11 11 11 11 12 13 14 13 13 13 14 15 16 14 13 12 13 13 13 11 10 10 10 10 11 11 10 9 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 nan
nan 8 8 9 10 10 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 10 9 9 9 9 9 9 8 8 7 8 9 9 10 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 9 10 11 11 10 9 9 10 10 10 10 9 10 11 12 12 11 11 10 11 11 12 12 13 14 15 16 16 15 13 11 11 11 9 6 5 7 10 11 11 11 11 12 12 13 14 16 17 17 17 17 16 17 16 16 15 15 15 15 15 15 15 15 16 16 16 15 15 14 14 13 13 13 13 12 13 13 14 13 13 13 13 13 14 14 13 13 13 14 14 13 12 11 11 11 12 12 12 11 9 8 7 7 7 7 8 8 8 8 8 8 9 9 9 8 8 7 7 8 8 9 nan
nan 8 8 9 10 10 9 8 6 6 6 7 7 7 8 8 8 8 8 8 9 9 8 8 8 8 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 8 8 7 7 6 6 6 7 7 7 7 8 8 8 8 9 10 10 11 11 9 8 9 10 10 10 10 11 12 12 12 11 11 10 11 11 12 13 13 13 13 13 12 12 10 10 11 12 11 8 6 8 9 10 10 10 11 11 10 10 11 12 13 13 13 13 14 15 15 14 14 13 14 14 14 15 16 17 18 18 18 17 17 15 14 14 13 14 13 13 13 13 13 13 13 14 14 14 13 13 12 12 12 13 13 12 12 12 12 12 13 13 12 11 10 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 8 8 8 nan
nan 10 9 10 10 10 8 7 6 6 6 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 7 8 8 8 9 9 9 9 9 9 9 10 10 9 8 9 10 10 10 11 11 11 11 11 10 9 10 10 10 10 10 11 11 11 10 11 10 10 11 12 12 12 10 10 10 10 10 11 13 14 15 14 12 11 11 11 10 10 12 13 14 14 13 12 11 12 12 13 14 16 17 18 19 19 18 17 16 15 14 14 14 13 13 13 13 12 12 13 15 14 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 9 9 9 8 8 8 9 9 9 8 8 8 7 7 7 8 8 8 nan
nan 10 9 10 9 9 8 7 6 6 6 7 7 7 7 7 7 8 9 10 10 9 9 8 8 8 8 8 8 8 8 8 7 7 6 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 7 6 6 6 6 7 7 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 8 9 12 16 19 20 20 18 16 13 12 10 11 12 14 15 14 12 11 10 10 11 12 13 15 16 17 17 17 16 16 15 15 14 14 14 13 13 13 13 12 13 13 13 13 13 13 14 14 13 13 13 13 12 10 10 10 9 10 10 10 11 10 10 10 11 11 10 10 10 10 9 9 9 9 9 8 8 8 8 7 7 7 7 nan
nan 11 10 9 9 8 7 7 6 6 6 6 7 7 7 7 7 8 10 11 11 9 8 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 7 8 8 9 9 9 9 8 8 7 7 7 8 8 9 9 9 9 9 10 11 10 10 9 8 8 7 6 6 6 6 6 6 6 7 6 7 7 8 8 8 8 7 7 6 5 4 5 6 10 15 18 21 22 22 20 17 14 14 14 15 16 17 15 13 12 11 11 11 12 12 13 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 13 14 15 14 13 13 13 12 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 11 11 10 10 10 10 10 10 10 10 9 8 8 7 7 7 nan
nan 11 10 9 8 8 7 7 7 6 6 6 7 7 7 7 8 9 11 11 10 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 9 9 9 8 8 7 7 6 6 7 7 7 8 9 9 9 9 8 8 7 7 7 7 8 8 9 9 9 9 9 9 10 10 8 7 6 6 5 5 6 6 7 7 6 6 6 6 7 7 7 7 7 7 6 5 2 -1 -1 1 4 7 9 12 16 20 22 21 18 15 15 15 16 17 17 15 14 13 12 13 13 13 13 12 12 12 13 13 13 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 14 14 13 13 13 12 12 12 12 12 11 11 12 12 12 12 11 11 10 10 9 9 10 10 10 10 10 11 11 11 11 11 11 10 9 8 8 8 nan
nan 10 9 8 8 8 7 7 7 7 6 6 7 7 7 7 8 10 11 10 9 8 7 6 6 7 7 8 8 8 8 8 9 9 8 7 7 7 7 7 7 8 8 9 9 9 8 8 7 7 6 6 7 7 7 8 9 9 9 9 8 7 7 6 7 7 8 8 9 9 9 9 9 10 10 10 9 7 6 5 5 5 6 6 8 8 8 7 7 6 6 6 7 7 7 7 7 7 6 2 -2 -3 0 4 5 5 7 10 15 17 17 15 12 12 12 12 13 13 13 13 12 13 13 14 14 14 14 13 13 13 14 14 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 13 13 13 13 13 13 12 12 12 12 12 12 13 12 11 11 11 11 10 10 9 9 10 10 10 10 11 11 12 12 12 12 12 11 10 9 9 nan
nan 10 9 8 8 8 7 7 7 7 7 7 7 7 7 8 9 10 10 9 8 8 7 7 7 7 7 7 8 7 7 8 9 9 9 8 7 7 7 7 7 7 8 9 9 9 8 7 7 7 7 7 7 7 8 9 9 9 9 8 7 6 6 6 7 8 8 9 9 9 9 8 8 10 11 11 9 6 5 4 5 5 7 8 9 9 9 8 7 7 6 6 7 7 7 7 7 8 7 4 0 -1 2 5 5 5 5 7 11 12 11 8 6 5 5 6 7 9 9 10 11 11 12 13 14 15 15 15 15 15 15 16 16 15 15 15 14 14 14 14 14 14 14 14 14 14 15 15 14 14 14 14 14 13 13 12 12 12 13 13 13 13 11 11 11 11 12 11 11 11 10 10 10 10 10 10 10 11 11 11 12 13 13 12 11 10 nan
nan 9 9 8 7 7 7 7 7 7 7 7 7 7 7 8 9 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 8 9 9 8 8 8 8 8 7 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 10 9 8 7 6 6 6 7 8 9 9 9 9 8 8 8 8 9 10 9 8 6 5 4 5 6 8 8 9 9 9 8 8 7 7 7 7 7 6 7 7 8 7 6 3 2 4 7 7 6 6 7 7 7 5 2 1 -0 0 1 4 5 5 6 8 9 9 11 12 14 14 15 15 15 16 16 16 16 15 15 15 14 14 14 14 15 15 15 15 15 16 16 16 15 15 15 15 14 13 13 13 14 14 14 14 14 13 12 12 13 12 12 12 12 11 11 10 10 10 10 9 9 10 10 11 12 13 13 12 12 nan
nan 9 9 8 7 6 7 7 7 7 7 7 7 7 7 8 9 10 10 9 8 8 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 7 7 7 7 7 8 9 10 10 9 7 6 6 6 7 8 9 9 9 9 8 7 7 8 9 9 9 8 6 5 4 5 6 7 8 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 5 2 1 -1 -1 -1 -0 1 2 2 3 4 5 6 7 8 9 11 12 12 13 13 13 13 13 13 12 12 12 12 12 12 13 14 14 14 14 15 15 16 16 15 15 15 15 14 14 14 14 13 14 14 14 14 15 15 14 14 13 13 13 13 12 12 11 11 11 10 10 9 9 9 9 10 11 12 13 13 nan
nan 10 10 9 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 9 8 8 7 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 8 9 9 10 9 8 7 6 6 6 8 9 9 9 9 8 7 6 7 9 10 10 8 7 5 4 5 6 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 7 7 8 8 8 7 7 7 8 9 8 5 1 -0 -1 1 1 1 2 2 3 4 5 5 6 7 7 7 8 8 9 9 9 8 8 7 7 8 8 8 8 9 9 9 10 11 12 12 12 13 13 13 14 14 14 14 14 13 13 12 11 11 11 12 13 14 15 15 14 14 14 13 13 13 13 12 12 12 11 10 10 10 10 10 10 10 11 12 13 nan
nan 10 10 9 8 8 7 7 7 6 7 7 7 8 8 10 11 10 9 9 8 8 8 8 8 7 7 7 7 8 8 8 8 7 7 8 8 8 8 8 8 8 8 7 7 6 6 6 6 7 7 8 8 9 10 9 8 7 6 6 6 7 9 9 9 9 8 7 6 6 8 10 10 9 7 5 4 5 6 7 7 8 8 8 8 8 7 7 7 7 6 7 8 8 9 8 8 7 8 8 8 8 8 7 7 8 9 9 6 2 -1 -1 2 3 2 3 3 4 5 7 7 7 7 7 7 7 7 6 5 5 4 4 3 4 4 5 5 6 6 7 7 7 8 9 9 10 10 10 10 11 12 12 13 13 13 12 11 10 10 10 10 10 11 12 13 13 13 13 14 14 14 13 13 13 12 12 12 12 12 11 11 11 10 10 11 12 nan
nan 10 10 10 9 8 7 7 6 6 6 7 7 7 8 10 10 10 9 9 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 8 7 8 8 8 8 8 8 7 6 5 5 6 6 7 8 9 10 10 9 8 7 7 7 7 9 9 10 9 8 7 6 6 7 9 10 10 8 5 4 4 6 7 7 7 8 8 9 9 7 7 7 7 6 6 7 8 9 9 8 7 8 9 8 8 8 8 8 7 7 8 8 6 3 -1 -2 1 3 3 3 4 5 7 7 8 8 8 8 8 7 6 5 4 3 3 3 3 4 5 5 6 6 6 6 6 7 7 8 8 8 9 9 10 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 10 11 11 12 13 14 13 13 13 13 13 13 13 14 13 13 12 11 10 10 10 10 nan
nan 10 10 10 9 8 7 7 7 6 6 6 6 7 8 10 10 10 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 6 6 6 6 7 9 10 11 10 9 8 7 7 8 9 9 9 9 8 7 6 5 6 8 9 10 9 7 4 4 5 6 7 7 7 8 8 9 8 7 7 7 7 6 7 7 8 9 9 8 7 8 8 8 8 9 8 7 7 7 8 8 6 3 -0 -0 1 3 3 3 4 5 6 7 8 8 9 9 8 8 6 5 4 4 4 5 5 6 7 7 7 7 7 7 7 7 7 8 8 9 9 10 11 11 12 12 12 13 13 13 13 13 12 11 11 11 10 9 9 9 10 11 13 13 12 13 13 13 13 14 14 15 14 13 12 11 11 10 10 10 nan
nan 9 10 10 9 8 8 7 7 6 6 6 6 7 8 10 10 10 9 8 8 8 7 7 8 8 7 7 7 7 7 8 8 8 8 8 9 8 8 8 9 10 10 11 10 8 6 6 6 7 8 9 10 11 10 9 8 7 8 9 10 10 9 8 7 6 5 5 7 8 10 10 8 5 3 4 5 6 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 9 8 7 8 8 8 8 8 8 8 7 6 7 7 7 7 5 4 3 3 2 2 3 4 5 5 6 7 8 8 8 8 7 6 5 4 5 5 6 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 12 12 12 13 13 13 14 14 14 14 13 12 12 11 10 10 10 10 11 12 12 11 11 12 12 13 14 15 15 14 14 13 12 11 11 11 10 nan
nan 9 10 10 10 9 8 7 7 6 6 6 7 8 9 9 10 9 9 8 8 8 7 7 7 7 7 7 7 8 7 7 8 8 9 9 8 8 8 8 9 10 11 11 9 8 6 6 6 7 9 10 11 10 9 8 8 8 9 10 11 10 9 8 6 5 5 6 7 9 9 9 7 4 3 3 5 6 7 7 8 7 7 7 7 7 7 7 7 7 7 8 9 8 8 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 4 2 2 3 4 4 4 5 6 7 7 7 7 5 4 4 4 5 6 7 8 8 8 8 8 8 8 8 8 8 9 10 10 11 11 11 12 12 12 12 12 12 13 14 14 15 15 15 14 14 13 12 12 11 11 11 11 10 10 10 11 11 12 13 14 14 14 14 13 13 12 12 11 11 nan
nan 9 9 10 10 9 8 8 7 7 6 6 7 8 8 9 9 9 9 8 7 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 8 8 7 8 8 9 9 9 8 7 7 7 7 8 9 10 10 10 8 8 8 9 10 11 11 11 10 8 7 6 6 7 8 9 9 9 6 4 3 3 5 6 7 8 8 8 7 7 7 7 7 7 7 7 7 8 9 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 9 8 6 5 4 3 3 3 4 5 6 7 7 7 5 4 3 3 4 6 7 7 7 7 7 7 7 8 8 8 9 9 10 11 12 12 12 12 12 12 11 11 11 11 11 12 13 14 15 15 16 15 15 14 13 12 12 12 11 10 10 11 11 12 12 13 13 14 14 14 14 13 13 12 12 11 nan
nan 8 9 10 10 9 9 9 8 7 7 7 7 7 7 8 9 9 9 8 7 7 7 7 7 7 7 8 8 7 8 8 8 8 9 10 9 8 7 7 8 8 8 8 8 7 7 7 8 9 9 9 9 8 8 8 8 10 11 12 12 11 10 8 7 7 8 9 9 9 9 8 5 3 3 4 5 7 8 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 7 7 6 7 7 7 7 7 7 8 9 9 8 8 7 7 5 4 3 4 6 8 9 9 7 5 3 2 3 5 6 7 7 7 7 7 7 7 8 8 9 10 11 12 13 13 13 13 13 13 12 11 11 11 11 11 11 12 13 14 15 16 16 17 16 15 14 13 12 12 12 13 13 13 14 14 15 14 14 15 14 14 13 12 12 12 11 nan
nan 8 9 9 10 10 10 9 9 8 8 7 7 7 7 7 9 9 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 9 10 10 10 9 8 8 8 8 8 8 8 8 7 7 8 10 10 9 8 7 7 8 9 10 11 12 11 11 10 8 7 7 9 10 11 9 8 6 4 3 3 5 6 8 9 9 9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 8 8 7 6 6 7 7 7 7 8 8 9 9 8 8 8 8 8 7 5 5 6 8 11 12 10 6 3 -0 1 4 6 7 7 7 7 6 7 7 7 8 9 10 11 13 14 14 14 14 13 13 13 12 12 12 12 12 12 11 12 12 13 14 15 17 18 18 18 17 16 15 14 14 14 14 14 15 17 18 18 17 16 14 13 13 13 12 12 12 nan
nan 8 8 9 9 10 10 9 9 9 9 8 7 6 6 7 8 9 9 9 8 7 7 7 7 7 7 7 8 8 8 8 8 9 10 10 10 10 9 9 9 8 8 8 8 8 7 7 8 9 9 8 7 7 7 8 9 10 11 11 10 10 9 8 8 9 11 13 12 9 5 4 3 3 4 5 7 9 10 9 8 8 7 7 6 7 8 9 8 8 8 8 8 8 7 7 8 7 7 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 10 12 12 9 3 -3 -5 -1 4 6 7 7 7 6 7 7 7 8 9 10 11 13 15 15 15 14 13 13 12 12 12 12 12 13 13 13 13 13 13 13 14 15 17 19 20 20 19 19 18 16 15 14 14 14 17 19 20 20 18 16 15 14 14 14 14 14 14 nan
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nan 9 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 9 11 10 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 10 11 10 9 8 8 8 9 9 8 7 7 6 7 8 10 10 10 9 8 8 8 9 9 10 12 13 11 5 -0 -2 -1 2 6 9 11 11 10 8 7 7 7 7 7 7 8 9 9 9 8 7 7 7 7 7 7 8 7 7 7 7 7 8 9 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 7 2 -4 -9 -6 2 7 9 9 8 7 7 7 7 8 9 10 13 15 16 14 12 9 8 7 7 7 7 7 8 8 8 9 9 9 10 10 11 11 11 11 12 12 14 15 15 16 16 16 15 13 11 10 11 12 12 12 12 11 11 11 11 12 12 12 13 nan
nan 9 9 8 7 7 8 8 9 9 9 9 9 9 8 7 7 7 9 11 11 10 8 7 7 6 7 7 8 8 8 8 8 8 9 8 8 8 8 9 9 10 10 9 8 8 9 10 10 9 8 7 6 6 8 9 10 10 9 9 9 9 9 10 10 10 9 6 1 -1 -1 2 6 10 12 12 11 8 7 7 6 7 7 7 8 8 9 10 10 9 8 7 6 6 7 7 8 7 7 8 8 8 9 9 8 8 8 8 8 7 7 7 8 7 7 7 8 7 7 7 5 1 -4 -4 3 10 12 11 9 9 8 7 7 7 7 8 11 13 14 13 10 7 5 5 5 5 6 6 6 7 7 7 7 7 8 8 9 9 9 9 9 9 10 11 12 13 14 15 15 15 14 13 12 11 11 11 11 12 11 11 11 10 10 9 9 9 nan
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nan 9 9 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 10 10 11 10 9 8 8 7 7 7 8 8 8 8 8 8 8 9 8 8 8 8 7 7 8 8 8 8 9 10 10 9 8 7 7 8 8 8 8 9 9 9 9 9 9 8 7 6 4 2 2 3 6 8 10 12 12 10 7 6 7 8 8 7 7 7 8 9 9 9 8 7 7 7 7 7 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 7 8 8 8 7 6 6 7 7 7 7 7 11 15 16 13 11 9 8 6 4 3 3 4 7 9 9 8 5 2 -0 0 1 3 5 6 7 7 7 7 7 6 6 7 7 7 7 7 6 6 6 7 7 8 9 9 10 11 12 12 12 13 13 13 13 13 14 13 13 14 15 14 13 11 9 nan
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nan 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 8 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 7 7 7 6 6 6 7 7 7 7 7 8 9 11 11 10 10 10 9 8 9 10 12 11 10 9 8 8 8 8 8 9 9 9 10 10 10 10 10 9 9 9 8 8 7 6 6 7 8 11 12 13 13 13 13 14 14 14 13 12 11 10 9 8 7 8 9 11 12 13 13 14 15 15 13 12 11 11 11 10 9 8 9 10 11 11 10 10 10 12 15 20 23 25 27 27 26 26 27 27 26 25 23 20 16 12 10 9 9 9 10 10 10 10 10 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 12 12 nan
nan 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 8 8 8 7 7 7 6 6 6 6 7 7 8 8 9 10 11 11 10 10 10 9 9 10 11 11 11 10 9 8 8 9 9 9 8 8 9 9 9 9 8 8 7 7 8 7 6 5 4 6 8 11 14 15 14 14 14 15 15 15 14 13 12 11 9 8 7 7 9 11 13 13 13 12 12 12 11 10 10 11 12 12 11 10 10 10 10 10 9 9 9 10 11 13 16 18 19 17 15 14 15 17 20 23 24 23 19 14 11 11 12 12 11 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 11 11 11 12 12 12 12 nan
nan 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 10 9 8 8 8 8 7 7 6 6 6 6 7 7 8 8 9 10 10 11 11 10 10 10 10 10 10 10 10 9 8 8 9 9 10 10 10 9 9 9 8 7 6 6 6 7 8 8 8 7 6 6 8 10 13 14 14 14 14 14 14 14 14 14 12 11 10 9 9 9 10 12 14 15 13 12 11 10 9 8 8 9 10 10 10 10 10 11 10 10 8 8 9 10 11 11 12 12 12 11 9 6 3 2 2 4 7 9 8 6 5 8 14 17 15 12 11 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 nan
nan 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 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 9 8 8 8 7 7 7 6 6 6 7 7 8 8 9 9 10 10 11 11 10 10 10 9 9 8 8 8 8 8 9 10 10 10 10 9 10 10 9 7 5 4 4 6 8 9 10 9 10 10 12 13 13 13 12 12 13 13 14 13 13 12 11 10 9 9 9 10 12 14 16 16 15 12 11 10 9 8 7 8 8 8 8 8 9 9 10 10 9 9 9 10 11 12 12 12 12 12 11 10 10 8 5 1 -1 -2 -3 -5 -4 0 7 13 14 11 10 10 11 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 nan
nan 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 12 12 12 11 11 10 10 10 10 10 11 11 11 11 11 11 10 10 9 10 9 9 8 8 8 7 7 7 6 6 7 7 8 8 9 9 9 10 10 10 10 9 9 8 7 6 6 6 7 9 11 10 10 10 9 9 9 10 9 7 5 3 3 5 7 9 10 11 12 13 14 15 15 13 12 12 12 13 13 13 12 10 8 7 6 7 8 9 11 12 14 15 15 12 10 8 8 8 7 7 8 8 8 8 8 8 8 9 9 9 9 9 10 11 12 13 13 13 13 14 16 17 18 18 15 12 9 7 5 6 10 14 14 11 10 12 13 14 14 13 13 13 13 13 13 13 15 17 17 16 15 15 14 14 13 13 12 12 nan
nan 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 12 11 11 11 10 10 10 10 11 11 11 11 11 12 11 11 10 9 9 9 9 9 8 8 8 7 7 7 7 7 7 8 8 9 9 9 10 9 9 8 7 5 4 3 4 4 5 7 10 12 12 10 10 10 9 9 10 10 8 6 4 4 6 8 10 11 12 13 14 15 15 15 14 13 13 13 13 13 12 11 9 7 6 5 5 6 8 10 11 11 11 11 9 8 7 7 6 7 7 7 8 9 9 9 8 8 9 10 10 10 10 9 9 9 10 11 12 13 13 14 15 17 20 23 26 26 26 25 25 27 28 28 25 21 21 22 22 21 19 18 16 15 15 15 16 19 23 25 23 19 16 15 14 13 12 12 12 12 nan
nan 9 9 8 9 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 11 11 11 10 9 9 9 9 10 10 11 11 11 11 12 12 11 11 11 10 9 9 9 9 8 8 8 8 7 7 7 7 8 8 8 9 9 10 9 8 6 4 1 -2 -5 -5 -3 -0 2 4 7 8 10 10 10 11 11 11 11 11 9 7 5 5 7 10 12 14 14 14 14 14 14 14 14 13 13 13 12 12 11 9 8 6 5 5 5 6 7 9 9 9 9 8 6 5 5 5 6 6 7 7 8 9 9 10 10 10 9 10 10 11 10 10 10 10 9 9 10 11 12 12 12 12 13 16 20 24 27 28 29 31 32 34 32 30 29 29 29 28 28 27 25 22 21 20 20 21 24 27 27 23 18 15 13 12 12 12 12 12 12 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 10 9 7 5 3 4 6 7 9 10 11 12 12 12 12 12 12 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 6 2 -2 -6 -9 -11 -10 -7 -4 -1 1 1 2 3 5 7 9 12 12 11 10 9 7 6 6 8 11 14 15 16 15 14 14 14 14 13 13 13 12 11 11 9 8 7 6 5 5 6 6 7 8 8 8 7 7 6 5 5 6 6 7 7 8 8 9 10 10 10 10 10 11 11 11 10 10 10 11 11 11 10 10 11 11 12 12 12 13 14 15 17 19 20 21 22 22 22 21 21 22 23 24 26 27 28 27 27 28 28 28 26 24 22 19 17 16 16 16 15 14 14 13 12 12 nan
nan 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 10 9 6 2 -3 -6 -5 -0 3 6 9 11 13 13 13 13 13 13 12 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 -1 -6 -10 -11 -10 -7 -4 -0 2 3 2 1 0 1 3 6 8 9 8 6 5 5 4 5 7 11 13 14 15 15 14 13 14 14 14 13 13 12 11 10 8 7 6 5 6 6 6 7 7 8 8 7 6 6 5 5 5 5 6 8 9 9 9 9 10 10 10 11 10 10 11 11 10 10 9 10 11 12 12 12 12 11 12 12 13 13 14 14 13 13 13 13 13 13 12 11 11 12 12 13 15 16 18 19 22 25 28 30 30 28 24 20 17 18 21 23 23 21 18 14 12 11 10 nan
nan 10 10 10 10 10 10 10 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 9 6 0 -6 -11 -12 -7 -1 4 7 11 13 14 14 14 14 14 14 12 11 10 9 9 8 8 7 7 8 8 8 8 8 9 8 8 7 7 7 5 0 -5 -8 -8 -5 -1 2 5 7 8 7 6 5 5 6 6 7 6 3 -1 -3 -2 -1 1 4 8 11 12 11 11 11 11 12 13 14 13 13 12 11 9 8 7 7 6 7 7 7 7 7 7 7 7 6 5 5 5 4 4 4 7 9 10 10 10 10 10 11 10 10 10 10 10 9 9 9 9 10 11 12 13 14 15 15 15 15 14 14 14 13 12 11 10 10 9 9 9 9 9 9 9 9 10 10 11 12 15 18 21 23 23 25 25 23 21 20 21 20 19 17 13 10 8 8 8 nan
nan 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 10 10 10 10 9 9 9 7 2 -4 -10 -12 -9 -3 2 6 10 13 14 13 13 14 15 15 14 13 12 11 10 9 8 7 7 7 7 7 8 8 9 8 8 8 8 7 7 4 1 -1 -1 3 7 9 10 10 10 10 9 8 8 8 9 8 7 5 -0 -5 -6 -6 -4 -1 3 6 8 7 7 7 8 9 11 12 12 12 11 10 9 8 7 7 7 8 8 8 8 8 7 6 5 5 5 5 5 5 4 5 6 9 11 11 10 10 10 11 11 10 9 9 9 9 9 9 9 10 10 11 12 14 16 18 19 19 17 14 13 12 11 10 10 9 9 9 9 9 8 8 8 9 9 9 10 10 10 12 13 14 15 16 18 20 20 16 11 6 3 2 2 2 3 5 7 8 nan
nan 10 10 10 10 10 10 10 9 9 9 9 8 8 9 9 9 9 9 9 8 8 8 5 -1 -7 -10 -8 -4 1 5 9 11 14 14 15 16 17 17 16 14 13 13 12 10 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 7 6 6 7 9 13 16 17 17 16 15 12 9 8 7 8 8 8 8 6 3 0 -0 -1 -0 0 2 2 2 3 5 7 9 10 11 10 9 9 8 8 8 7 7 8 8 9 9 8 8 6 5 3 2 2 4 5 6 7 7 9 12 14 13 11 9 9 10 10 10 9 9 8 8 9 9 9 10 11 11 11 13 15 16 18 19 19 16 13 12 10 9 9 8 7 7 8 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 13 13 13 11 6 0 -4 -6 -6 -3 -1 2 5 8 9 nan
nan 10 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 3 -3 -8 -8 -5 -1 3 7 10 11 13 16 18 21 21 18 15 14 14 13 12 11 9 8 8 7 7 7 6 7 7 7 7 7 8 8 8 8 8 10 12 15 18 19 20 20 19 16 11 9 8 9 9 9 9 8 8 7 7 7 7 6 5 3 2 1 3 6 8 9 10 9 8 7 6 6 7 7 7 8 8 9 8 7 6 5 4 2 2 3 4 6 7 8 9 12 14 16 15 13 10 8 8 9 9 9 9 9 9 9 10 10 10 11 11 12 12 13 14 15 16 16 15 13 12 10 8 7 7 6 6 7 8 9 10 11 10 10 10 10 11 11 12 12 13 13 12 11 11 10 8 4 -1 -3 -2 0 2 3 4 6 8 9 10 nan
nan 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 1 -5 -7 -7 -4 0 5 9 10 11 12 16 20 23 23 18 15 15 14 13 12 10 9 8 8 8 7 7 6 6 6 6 7 7 8 8 8 8 9 10 12 13 15 15 15 14 12 9 9 10 11 12 12 11 10 9 9 9 9 10 10 10 9 8 7 7 7 7 5 4 3 5 5 5 6 7 7 6 7 8 8 7 6 5 4 3 3 4 6 8 10 10 10 11 13 14 15 14 13 11 9 9 9 8 8 8 8 9 10 11 11 10 10 10 11 11 11 12 11 11 12 12 10 10 10 9 8 7 6 6 7 8 9 11 12 12 12 11 11 11 11 12 12 13 13 13 11 10 8 5 1 -3 -4 -3 1 5 7 8 8 9 9 10 10 nan
nan 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 5 -2 -7 -7 -6 -3 2 6 9 10 11 12 15 19 23 23 19 17 15 14 13 11 10 9 8 8 8 7 7 7 6 6 6 7 7 8 8 8 9 9 10 10 11 10 9 5 2 0 2 6 11 15 14 13 12 11 10 10 10 10 10 11 11 11 11 11 11 10 8 5 2 1 2 3 4 5 6 5 5 6 6 5 4 4 3 3 4 6 8 10 11 11 10 10 12 13 13 11 10 10 10 10 10 10 10 9 8 8 9 10 11 10 9 8 8 9 9 9 8 8 8 8 7 7 7 7 7 8 8 8 9 10 10 11 13 14 13 13 13 12 12 12 12 13 13 13 12 10 8 4 -1 -6 -7 -5 -1 4 7 8 8 9 10 10 10 10 nan
nan 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 2 -4 -7 -6 -4 -1 3 6 9 10 10 11 13 18 22 23 21 19 16 14 13 11 10 10 9 8 8 7 7 6 6 6 6 7 7 7 7 8 9 9 9 9 9 8 4 -3 -5 -3 2 8 14 14 14 14 13 13 11 11 11 11 11 11 12 12 13 13 14 14 12 11 10 9 7 6 4 3 2 2 3 4 3 1 1 2 3 3 5 7 8 8 7 6 7 9 11 10 8 6 7 8 8 10 11 12 12 11 11 11 12 12 11 10 9 9 9 9 8 8 7 7 7 6 5 5 5 5 6 9 10 11 11 12 11 12 14 14 14 14 13 13 13 13 13 13 13 11 10 9 7 3 -1 -3 -2 1 5 7 8 8 9 10 11 11 11 11 nan
nan 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 7 1 -3 -5 -5 -3 -0 3 6 8 9 10 11 12 16 20 23 22 20 17 15 13 11 10 10 10 9 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 8 6 2 -1 1 6 11 16 16 13 13 13 13 13 13 14 14 14 14 15 16 17 18 19 20 20 19 18 17 16 13 10 6 2 1 1 2 2 2 2 2 3 3 4 5 6 6 5 5 6 8 10 11 9 7 7 7 8 8 9 10 11 11 12 14 16 16 15 12 11 11 12 12 11 10 9 8 7 6 5 4 4 5 6 9 11 12 12 12 12 11 12 13 14 14 14 13 13 13 13 12 12 11 9 9 8 8 7 7 9 10 11 10 9 9 9 10 11 11 12 12 12 nan
nan 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 8 3 -1 -2 -3 -2 0 2 5 7 9 10 11 12 15 18 22 23 20 18 15 13 11 10 10 10 9 8 8 7 7 7 7 7 8 7 7 7 8 8 8 8 8 8 7 6 8 13 17 20 20 16 12 11 11 12 12 14 16 16 17 19 21 23 24 25 26 26 25 23 21 20 19 17 13 9 5 3 1 1 2 4 6 6 7 6 7 7 7 7 8 10 12 14 15 13 11 11 11 12 11 10 10 9 9 11 14 16 17 16 13 10 9 8 9 10 10 9 8 7 5 5 5 5 6 7 9 12 13 13 13 12 11 11 13 14 15 15 15 13 12 11 10 9 9 8 8 8 8 9 12 15 18 16 13 10 8 8 9 10 11 11 12 12 12 nan
nan 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 8 5 1 -2 -3 -2 -0 2 5 7 9 11 11 12 13 17 22 24 22 19 16 13 11 11 11 11 10 9 8 7 6 6 7 7 8 8 7 7 7 7 7 7 7 8 8 10 13 17 18 18 15 12 10 9 9 9 10 11 13 14 17 20 22 24 25 26 26 25 24 23 23 24 23 21 19 15 12 9 6 4 5 8 10 12 12 11 10 10 9 10 12 14 16 16 15 14 13 14 15 15 14 13 11 10 11 13 15 15 13 9 7 6 5 5 5 7 8 7 6 5 5 6 8 9 10 11 12 13 14 14 13 11 11 11 13 14 15 15 13 12 10 9 7 7 7 8 8 9 9 11 14 16 14 10 7 5 6 8 9 10 10 11 12 12 12 nan
nan 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 4 -1 -4 -4 -3 -0 2 5 8 10 11 11 12 12 17 24 27 26 23 18 14 12 12 11 10 10 9 8 7 6 6 7 7 8 8 8 8 8 8 7 7 7 8 8 10 11 12 12 10 8 7 6 6 6 6 6 6 7 9 12 15 17 18 18 18 18 18 19 23 26 28 28 27 26 23 20 17 15 15 16 17 17 15 14 12 10 9 10 11 12 13 13 12 11 12 13 14 15 14 13 12 11 10 11 12 12 10 7 4 5 5 5 5 6 7 7 7 7 7 8 11 13 13 13 14 14 14 14 13 12 11 10 11 11 12 13 12 11 10 8 7 7 7 8 9 9 10 11 12 12 10 6 3 2 3 7 9 9 10 10 11 11 12 11 nan
nan 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 10 10 10 7 2 -2 -4 -3 -2 0 3 6 8 10 11 11 12 13 20 28 31 30 25 17 13 12 11 11 10 10 9 9 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 8 7 5 2 1 1 2 4 4 4 4 5 7 10 12 12 12 12 13 13 15 17 21 24 26 27 27 26 25 23 22 22 24 24 22 19 14 12 10 9 8 9 10 10 10 10 9 9 11 12 12 12 11 10 10 9 9 10 10 9 7 6 6 7 7 8 8 9 10 10 10 11 12 14 15 15 14 14 14 14 13 12 11 11 10 10 9 9 10 10 9 9 8 7 8 8 9 9 10 10 10 11 11 10 7 5 5 5 8 9 9 10 10 10 11 11 11 11 nan
nan 9 9 9 9 9 8 8 9 10 10 10 10 10 10 10 10 9 9 9 9 6 1 -1 -2 -2 -1 1 3 6 8 10 11 12 12 16 25 31 33 31 23 15 13 12 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 8 6 1 -4 -6 -5 -1 2 3 4 5 7 9 11 11 12 12 12 13 14 15 17 19 20 21 22 21 19 17 17 17 18 18 17 15 12 9 8 8 8 8 9 10 11 11 11 9 9 9 9 9 8 8 8 8 8 9 11 11 11 10 10 10 10 10 11 12 13 14 15 16 16 17 17 17 15 14 13 12 11 11 11 11 10 10 9 8 7 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 10 12 13 13 11 10 10 10 10 10 10 11 11 nan
nan 10 10 10 10 9 8 8 9 10 11 11 11 11 11 11 10 9 9 9 8 4 1 -2 -3 -2 -0 2 4 6 8 10 11 12 14 21 30 34 34 28 19 14 12 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 8 5 -2 -7 -8 -7 -3 0 2 4 7 9 11 12 12 12 13 13 14 14 15 18 19 20 19 18 14 10 7 5 4 4 5 5 4 4 4 5 6 7 8 10 10 10 10 8 5 4 4 4 4 4 5 6 7 8 10 12 14 14 14 14 14 14 14 14 15 16 17 18 18 17 16 16 15 14 13 12 10 10 10 11 11 10 9 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 10 11 14 15 16 15 12 10 10 10 10 10 10 11 11 nan
nan 10 10 10 10 10 9 9 10 11 11 11 11 11 11 10 9 8 8 9 8 4 0 -2 -3 -1 1 2 3 5 8 11 12 14 18 27 35 35 31 23 16 13 12 11 10 11 10 10 9 9 9 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 7 7 2 -4 -7 -7 -6 -2 1 4 7 10 11 12 12 13 14 14 14 14 15 17 19 20 20 18 14 8 2 -2 -6 -7 -5 -4 -2 -1 -0 0 1 2 4 7 7 6 4 0 -3 -5 -5 -3 -3 -2 -1 2 4 7 9 12 15 16 16 16 16 16 16 16 17 17 17 16 15 14 13 12 12 12 12 11 11 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 9 9 9 10 12 13 15 17 16 14 13 12 11 11 11 11 11 11 nan
nan 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 8 8 9 8 6 3 0 -1 0 1 2 3 5 8 11 13 16 23 32 35 31 24 18 14 13 11 11 12 11 10 9 9 9 10 11 11 10 10 10 10 9 9 9 9 8 7 7 7 7 7 6 4 -2 -5 -6 -5 -3 1 5 8 11 13 12 13 13 14 15 15 15 15 17 19 19 19 17 14 9 4 0 -3 -5 -4 -3 -3 -2 -2 -3 -3 -3 -1 2 2 1 -1 -4 -6 -7 -7 -5 -4 -4 -5 -4 -1 3 6 9 11 13 15 16 16 16 15 15 15 15 15 14 12 11 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 9 10 10 9 10 10 10 10 9 9 9 9 9 10 9 9 10 10 10 11 11 14 17 18 17 16 13 12 11 11 11 11 11 nan
nan 10 9 9 10 10 10 10 10 10 10 11 11 10 10 9 8 8 8 8 8 7 5 2 1 1 1 2 3 5 9 11 13 18 26 32 31 25 19 15 12 11 12 12 12 11 10 10 10 11 12 12 11 11 11 11 11 10 10 9 7 6 6 6 6 6 6 5 2 -3 -6 -6 -3 1 5 8 11 14 15 14 14 15 16 16 15 15 16 17 18 17 16 13 11 8 7 7 7 7 7 5 4 3 2 1 1 2 4 4 3 0 -1 -2 -1 -0 2 3 3 2 1 1 2 4 5 5 5 7 12 14 15 13 12 11 11 11 10 10 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 10 11 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 11 11 11 11 14 17 18 19 18 15 13 12 12 11 11 11 nan
nan 10 10 10 10 10 10 11 11 10 10 11 11 10 9 9 8 8 8 8 9 8 6 3 1 1 1 2 3 6 9 11 14 18 26 31 28 22 16 13 11 11 11 12 12 11 10 11 12 13 12 12 11 11 12 12 11 9 6 3 2 2 3 4 6 6 6 5 1 -4 -6 -5 -1 4 7 9 13 17 18 17 17 17 17 16 15 15 16 15 14 13 11 10 10 11 13 14 14 14 13 12 11 10 10 10 11 13 13 12 9 7 6 6 7 8 8 8 8 9 9 9 9 7 6 4 5 10 14 16 14 11 9 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 10 11 11 11 11 11 11 10 10 11 11 11 11 11 12 11 12 13 15 17 19 19 17 15 13 12 12 11 11 nan
nan 10 10 10 10 11 11 11 10 10 10 10 10 10 9 9 8 8 8 8 9 9 7 4 2 1 1 2 3 6 9 11 14 18 26 29 26 21 16 12 10 10 10 10 10 10 10 11 12 13 12 12 11 10 11 10 8 5 -0 -4 -4 -3 1 5 7 7 7 5 -0 -4 -6 -4 2 5 7 10 15 21 22 21 19 18 17 16 15 15 14 12 11 10 9 10 11 12 13 14 14 15 15 15 15 16 17 18 18 19 19 17 14 12 11 10 10 10 10 11 13 14 15 14 12 10 8 9 13 18 19 17 12 9 8 7 8 10 10 11 11 10 10 10 10 9 9 9 9 9 9 10 11 11 12 12 12 11 11 11 10 11 11 12 12 12 12 11 11 11 11 12 12 12 13 13 13 13 13 13 16 18 20 20 19 18 17 17 15 14 nan
nan 11 11 11 10 10 10 10 10 9 10 10 10 10 9 9 9 9 9 8 9 9 8 5 3 1 1 1 3 6 8 11 13 18 24 26 24 21 16 12 10 9 8 8 9 9 10 11 12 13 12 11 9 9 9 9 7 3 -1 -3 -3 -1 4 8 8 8 6 3 -2 -6 -6 -2 2 5 7 11 18 23 23 22 20 18 16 15 14 13 11 10 10 10 11 12 13 12 12 11 12 13 15 16 18 20 21 22 22 21 20 18 15 13 12 12 12 14 16 18 20 21 20 16 13 11 11 13 17 19 18 15 10 8 7 7 9 11 11 11 11 10 10 10 10 9 10 10 10 9 10 10 11 12 13 13 12 11 11 11 11 11 11 12 12 12 11 11 11 12 12 12 13 13 13 14 13 13 12 13 14 17 19 23 25 27 27 25 23 20 nan
nan 10 10 9 9 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 7 3 1 0 1 2 5 8 11 12 16 21 23 23 21 16 12 10 8 8 8 9 10 11 11 12 12 12 10 9 8 9 9 9 6 4 4 4 5 8 8 6 4 1 -3 -7 -8 -5 0 4 6 8 13 19 23 23 22 19 17 15 14 12 11 10 10 11 12 13 14 13 12 11 10 11 12 13 14 17 19 20 20 21 20 19 18 16 15 15 17 19 22 24 26 27 26 21 15 12 11 11 14 16 19 18 15 12 9 8 10 11 12 12 11 10 10 10 10 10 10 10 10 9 9 10 11 11 12 12 12 11 11 11 11 11 11 12 12 11 11 11 11 11 12 12 12 12 13 14 14 14 13 12 12 12 14 18 23 27 30 30 29 29 30 nan
nan 10 9 9 9 10 10 9 9 9 9 10 10 11 11 11 10 10 10 9 9 9 9 8 4 1 -0 -1 1 4 8 11 12 14 18 22 25 23 17 13 10 9 8 9 10 10 11 11 11 11 10 9 9 9 9 9 10 9 10 10 9 9 8 5 2 -2 -5 -8 -9 -7 -1 3 6 8 10 15 20 23 23 21 17 15 14 13 11 10 11 11 12 13 13 13 12 11 11 11 12 12 12 13 13 13 13 14 15 16 16 16 15 16 18 20 24 27 27 26 25 22 17 13 12 12 14 17 21 24 23 19 15 12 11 12 13 12 11 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 12 11 11 12 15 18 21 23 24 26 29 31 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
195 192 196 201 205 208 210 216 223 231 241 246 255 272 288 301 313 308 279 236 184 126 71 34 14 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 4 7 19 61 109 142 175 211 274 349 428 496 544 569 562 550 545 522 510 502 513 534 561 591 626 671 715 759 801 844 890 941 1001 1087 1175 1246 1310 1372 1436 1496 1539 1561 1526 1532 1477 1362 1210 1093 1116 1197 1212 1173 1149 1112 1035 936 865 861 895 828 675 553 495 488 506 502 411 340 300 267 234 212 213 240 237 229 228 235 242 238 239 270 351 489 638 756 839 877 871 850 790 718 654 602 553 511 487 463 429 394 373
205 204 205 205 204 205 212 221 226 232 240 245 252 265 286 308 305 275 233 176 116 67 36 20 10 3 0 0 1 2 2 1 0 1 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 1 2 3 2 2 3 3 3 4 4 5 12 35 73 119 152 181 232 321 402 473 547 607 634 640 629 585 566 570 583 601 627 650 689 723 768 816 859 900 942 986 1031 1115 1191 1269 1351 1416 1463 1513 1565 1598 1617 1626 1573 1465 1349 1261 1276 1358 1386 1351 1309 1253 1170 1061 937 954 991 950 834 695 591 554 548 551 497 428 368 312 259 230 220 227 228 241 272 304 303 262 227 225 262 345 465 614 763 864 912 926 890 824 754 696 643 590 549 523 491 447 417
209 209 208 207 209 209 217 223 227 234 242 250 265 287 309 302 269 219 162 107 64 38 23 13 5 1 1 3 6 7 5 2 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 1 1 0 0 0 0 0 1 1 2 2 3 4 4 5 5 5 6 6 5 5 6 7 7 14 32 59 100 143 173 200 278 361 438 520 588 646 655 678 651 618 611 633 659 693 721 752 784 824 871 918 960 999 1048 1092 1135 1200 1304 1411 1466 1454 1505 1601 1529 1495 1552 1597 1570 1520 1520 1595 1573 1505 1435 1382 1366 1343 1254 1090 1062 1082 1073 989 845 712 641 614 604 581 529 459 386 327 293 259 247 244 271 327 374 369 301 245 219 217 242 305 430 590 729 849 931 961 926 862 799 737 678 623 585 552 518 482
202 206 209 209 213 208 214 223 233 246 256 266 286 312 307 268 218 168 120 78 49 31 19 8 3 3 5 7 8 7 5 2 1 2 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 2 3 3 3 4 4 5 3 3 2 2 3 5 6 6 6 6 7 7 8 9 9 9 8 10 12 14 16 20 29 47 90 126 153 182 236 307 383 460 540 598 638 685 690 659 637 665 686 725 770 807 835 867 911 958 1003 1041 1077 1113 1167 1245 1333 1379 1359 1300 1326 1309 1198 1175 1263 1358 1411 1482 1586 1623 1553 1434 1350 1368 1481 1500 1392 1258 1171 1161 1176 1127 993 861 781 727 688 658 617 553 479 416 383 332 297 287 314 372 418 427 358 290 242 218 214 227 280 385 527 693 850 952 973 952 900 839 777 714 660 619 587 560
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