Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 8 8 8 9 10 11 12 12 10 9 8 8 8 8 8 8 9 9 10 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 9 9 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 9 9 8 7 7 7 8 8 8 8 8 8 8 6 6 5 4 4 5 5 6 7 7 8 10 11 11 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 11 11 10 10 10 10 10 10 10 11 11 10 10 10 11 12 13 12 10 9 11 11 11 10 11 13 14 15 16 16 15 15 15 16 15 13 11 10 9 8 8 7 7 7 8 8 9 9 9 9 9 9 9 8 7 6 7 7 8 8 8 8 7 6 6 6 7 7 nan
nan 9 10 10 10 10 10 11 11 11 11 9 8 7 7 7 8 8 8 8 9 9 9 9 9 10 10 10 9 9 8 8 8 8 9 9 10 9 9 9 9 9 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 10 10 10 10 9 9 8 8 8 7 8 8 8 8 8 8 8 8 8 7 7 6 6 5 6 6 7 8 9 10 12 13 14 14 15 15 15 14 14 14 14 14 14 14 14 14 13 13 13 12 12 11 10 10 10 9 9 9 10 10 10 11 11 11 11 10 11 12 12 11 10 9 10 9 9 7 7 9 11 12 13 12 12 15 18 18 17 16 15 15 14 11 8 7 7 7 7 8 8 9 9 9 9 9 8 8 7 7 7 7 7 6 6 6 6 6 6 8 9 10 nan
nan 10 11 11 11 11 11 11 10 9 9 8 7 7 7 8 8 8 8 8 9 8 8 8 9 9 9 9 8 8 8 8 7 8 8 9 9 9 8 8 9 9 9 9 9 8 8 8 8 9 9 10 9 9 9 9 9 9 8 9 9 9 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 7 6 7 8 9 9 10 12 13 15 16 16 16 16 16 15 15 15 15 15 14 14 14 14 14 13 13 12 12 11 10 10 9 9 9 9 9 9 10 10 11 11 11 11 10 11 11 10 9 9 9 9 8 7 6 7 8 9 9 9 10 12 15 16 17 19 20 21 19 15 11 9 8 8 8 9 9 9 9 9 9 8 8 7 7 7 8 8 8 7 6 6 6 8 10 11 12 12 nan
nan 11 12 12 12 11 10 9 8 7 7 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 7 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 8 7 7 8 8 8 8 8 9 8 7 8 9 9 9 9 8 8 8 8 8 8 8 8 9 10 10 11 12 13 14 15 16 16 16 16 15 15 14 14 14 14 13 13 13 13 14 14 13 13 13 12 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 9 8 7 7 8 9 9 9 8 8 8 9 12 16 19 22 23 20 16 13 12 11 11 12 13 13 12 11 10 8 8 7 8 8 8 8 8 8 8 7 7 7 9 11 13 13 12 nan
nan 12 12 11 10 9 8 7 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 6 7 7 7 7 8 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 7 8 8 7 7 8 8 8 8 8 9 8 7 8 9 9 9 9 9 9 8 8 8 7 8 10 11 11 11 12 12 12 12 12 13 13 13 13 12 12 12 11 11 11 11 11 11 11 12 12 13 13 13 13 13 12 11 11 10 10 10 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 8 7 7 9 10 10 10 9 7 6 6 8 11 14 18 18 16 14 14 13 13 14 16 17 17 15 13 11 9 8 8 8 9 9 9 8 8 8 7 7 8 9 9 10 11 9 nan
nan 12 11 9 8 7 7 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 7 7 6 6 7 8 8 8 8 8 8 7 7 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 8 8 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 7 6 7 9 11 12 11 11 10 10 9 9 8 9 9 8 8 8 8 8 7 7 7 7 8 8 9 10 10 11 12 13 13 13 13 12 12 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 9 9 8 9 10 10 10 9 8 7 6 7 9 11 13 13 12 13 14 14 14 15 16 17 17 16 13 11 10 9 9 9 9 10 10 9 9 8 7 8 8 9 9 8 7 6 nan
nan 10 9 7 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 8 9 9 9 9 9 8 8 9 9 8 7 7 8 9 9 9 8 7 6 6 6 7 8 7 7 7 7 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 7 5 4 6 8 9 8 7 6 5 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 7 7 8 9 10 11 12 12 13 13 13 13 12 12 12 11 11 10 10 9 9 9 9 8 9 9 10 10 10 10 9 9 9 9 10 10 9 8 8 9 9 10 11 11 11 12 13 14 15 15 16 15 15 13 12 11 10 10 11 11 11 11 11 10 9 7 7 8 9 10 9 8 6 6 nan
nan 8 8 7 7 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 8 8 8 7 8 8 8 9 8 8 7 7 8 9 10 9 9 8 8 9 9 9 9 8 7 8 9 9 10 9 9 8 7 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 9 9 9 9 9 9 9 8 8 8 7 5 4 5 5 4 3 2 0 0 1 1 2 2 3 4 5 5 5 6 6 6 6 6 6 6 7 7 7 8 9 9 10 11 12 13 13 13 14 14 14 14 13 12 12 11 10 10 10 9 9 9 10 10 11 11 11 11 10 10 11 11 10 10 9 9 9 9 9 9 10 12 13 14 15 17 17 16 14 12 11 11 12 13 14 14 14 12 11 10 8 7 7 8 9 9 8 8 7 7 nan
nan 8 8 8 8 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 7 7 8 9 10 9 8 8 8 8 9 9 8 7 8 9 9 10 9 8 7 7 6 6 6 7 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 8 9 9 9 9 9 8 8 8 8 8 8 7 7 6 5 4 2 -1 -3 -4 -2 -0 1 2 4 5 6 6 6 6 6 6 7 7 7 7 7 8 8 8 9 9 9 9 10 10 11 12 13 13 14 14 15 14 14 14 13 12 12 11 11 10 10 10 10 11 11 12 12 11 11 12 12 12 12 10 9 8 8 8 8 9 10 11 13 15 17 18 16 13 12 12 14 16 17 18 17 15 13 11 9 8 9 9 10 10 9 8 7 8 8 nan
nan 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 8 8 8 8 8 8 7 7 8 9 9 9 8 7 6 6 6 6 8 8 8 8 8 8 8 8 8 9 9 9 8 7 6 6 7 8 8 9 9 10 10 9 8 6 6 6 7 7 7 7 7 7 6 4 0 -4 -4 -2 1 2 4 5 6 6 6 6 6 6 6 7 7 8 8 8 9 9 10 10 10 9 9 9 9 10 10 11 12 13 14 14 15 15 15 14 14 13 12 12 12 11 11 11 10 10 11 12 11 11 11 11 12 13 12 11 10 9 8 8 8 9 10 12 14 15 15 13 12 12 13 16 18 21 22 19 15 12 10 9 10 11 12 11 10 9 8 8 8 9 nan
nan 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 8 8 8 8 8 8 7 7 8 8 8 8 7 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 7 8 9 9 10 10 10 8 7 6 5 5 6 7 7 7 7 8 7 6 4 1 -1 -0 1 2 3 4 5 5 5 5 5 5 6 6 7 8 9 10 10 11 11 10 10 10 9 9 9 9 9 9 10 10 11 12 13 14 14 15 14 14 14 14 13 13 12 12 11 11 11 11 11 11 10 10 10 11 12 12 12 11 10 9 9 9 9 11 12 13 11 10 10 11 14 17 21 24 23 19 15 12 11 10 11 12 12 12 12 11 10 9 9 9 nan
nan 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 8 8 7 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 8 8 8 8 8 8 8 8 7 8 8 7 7 6 6 6 6 7 8 8 9 9 8 8 8 8 7 7 7 8 8 7 7 7 8 9 9 9 10 10 9 7 6 5 5 5 6 7 7 8 8 8 8 7 6 5 4 2 1 1 1 2 3 3 3 3 4 4 5 6 7 8 10 11 11 11 11 10 10 9 9 8 8 8 7 7 7 8 8 9 10 11 12 13 13 14 14 14 14 13 13 13 13 12 11 11 10 11 10 9 9 9 10 11 12 11 11 11 10 9 9 10 11 11 10 9 9 10 13 17 22 23 21 18 15 13 12 12 13 13 14 14 14 14 13 11 10 9 nan
nan 8 8 8 8 8 8 7 7 7 6 7 7 8 8 8 8 8 9 10 9 8 7 7 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 7 7 6 6 7 7 7 8 8 9 9 8 8 7 7 7 7 7 8 8 7 8 8 8 9 9 9 10 10 8 6 5 4 4 5 6 7 7 8 8 8 7 7 7 7 6 5 3 1 0 1 2 2 2 2 3 4 5 6 7 9 10 11 12 12 11 10 9 8 8 7 7 7 7 6 6 6 6 6 7 8 9 10 11 12 13 14 13 12 13 14 14 14 13 10 10 11 11 11 10 8 8 9 10 10 11 10 10 10 10 10 11 10 9 8 8 9 11 14 18 18 17 15 14 13 14 15 16 17 18 18 18 17 15 12 10 9 nan
nan 9 9 9 9 8 8 8 7 7 6 7 7 8 7 7 8 9 10 11 9 8 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 7 7 7 8 8 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 9 9 9 10 10 9 7 6 5 5 5 6 7 7 8 8 8 8 7 7 7 8 7 7 5 3 1 0 -1 -0 1 3 4 5 6 6 7 9 10 11 11 11 10 9 8 7 7 6 6 6 6 6 6 6 5 5 6 6 7 7 8 8 10 11 11 10 10 11 13 15 14 11 11 11 12 12 11 9 7 7 8 9 10 9 9 8 9 10 10 10 8 7 6 6 8 11 12 12 12 12 12 13 14 16 19 21 21 22 21 18 16 13 11 10 nan
nan 10 10 9 9 8 8 8 7 7 7 7 7 7 7 7 8 10 11 10 9 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 9 9 9 8 7 7 6 6 7 7 8 8 8 8 8 9 8 8 9 9 9 8 6 5 5 5 5 6 7 8 8 8 7 7 7 7 7 7 7 7 7 6 4 0 -3 -3 0 3 5 6 6 7 8 9 10 10 9 9 8 7 7 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 7 8 8 7 7 7 9 12 12 11 11 10 11 12 12 11 8 7 7 8 9 9 8 8 7 8 9 8 8 7 6 6 8 9 10 10 9 9 9 11 13 15 18 20 20 20 19 17 15 13 12 12 nan
nan 11 10 9 8 8 8 7 7 7 7 7 7 7 7 8 9 10 11 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 8 7 6 6 7 8 8 8 8 8 8 8 8 8 8 9 9 9 7 5 5 5 5 6 7 8 9 9 8 7 6 6 6 7 7 7 7 7 8 6 1 -3 -4 -0 4 6 7 8 8 9 10 9 7 7 7 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 7 7 7 6 6 5 5 5 5 4 4 5 7 8 9 9 8 8 10 12 12 11 9 8 8 8 8 9 8 7 7 7 7 7 7 7 7 8 9 10 9 9 9 10 11 12 13 14 15 16 16 15 14 14 14 14 14 nan
nan 10 9 8 8 8 8 8 8 8 8 8 7 7 8 8 9 10 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 8 8 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 7 7 6 7 7 8 8 8 8 8 8 8 7 7 8 9 10 9 7 5 5 5 5 6 7 8 9 9 8 7 7 6 6 7 7 7 7 7 8 7 3 -1 -3 -0 4 7 8 9 10 10 9 6 5 4 5 4 4 5 5 6 6 7 7 8 8 8 9 9 9 9 8 8 8 7 6 6 5 5 5 4 3 3 4 5 6 7 7 6 7 9 11 11 11 10 9 8 8 9 9 8 8 7 6 6 7 7 7 8 8 8 9 9 10 11 12 13 13 12 12 12 12 13 13 14 15 15 14 nan
nan 10 9 8 7 7 8 8 8 8 8 8 8 8 8 9 10 10 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 7 7 7 7 8 9 9 9 8 7 6 7 7 8 8 8 8 8 8 8 8 7 8 8 9 9 8 7 5 5 5 5 6 7 8 9 9 8 7 7 7 7 8 7 6 6 7 7 7 5 2 -0 1 5 7 9 10 11 10 7 4 2 2 3 3 4 5 6 6 7 7 7 8 8 8 8 8 9 9 9 8 8 8 7 7 6 5 5 5 4 4 4 4 5 6 6 6 5 6 8 9 10 10 10 9 9 9 9 9 9 8 7 7 6 6 6 7 7 7 7 9 11 13 14 15 15 14 12 11 11 11 13 15 16 15 15 nan
nan 9 9 8 7 7 7 7 7 7 8 8 8 8 8 9 10 10 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 9 8 8 8 8 8 8 8 8 7 6 6 6 7 7 8 8 7 7 7 8 8 9 9 8 7 6 6 7 8 8 9 9 9 8 8 8 8 7 8 9 9 8 7 6 5 5 5 5 6 7 8 9 8 8 8 7 7 7 8 7 7 7 7 7 7 7 5 3 4 6 7 9 11 12 9 5 2 1 1 2 3 5 5 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 5 5 5 6 6 6 6 5 6 7 8 9 9 9 9 9 9 9 10 9 9 8 7 6 6 6 6 6 6 7 9 11 14 16 16 15 13 12 11 11 12 14 15 15 14 nan
nan 9 9 8 7 7 7 7 7 7 7 8 8 8 8 9 10 10 9 8 8 7 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 6 5 5 6 7 7 7 7 7 8 8 9 9 8 7 7 7 7 7 8 9 9 9 9 8 8 8 7 8 8 9 9 8 6 5 5 5 5 6 6 7 8 8 8 8 8 8 8 7 7 7 7 7 7 6 7 7 7 6 6 6 7 9 12 13 8 3 -0 -1 0 2 4 5 5 6 6 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 6 6 6 7 8 8 8 9 9 9 9 10 10 11 10 9 8 7 6 6 6 6 6 7 9 12 14 15 14 14 13 11 11 12 13 13 14 14 nan
nan 9 10 9 8 7 7 7 7 7 7 8 8 9 9 10 10 10 9 8 7 7 8 8 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 9 9 8 7 6 5 5 5 6 7 7 7 8 8 9 9 9 8 7 6 7 7 8 9 9 9 9 9 8 7 7 8 8 9 10 9 7 5 4 5 5 6 6 7 8 8 8 8 8 9 8 8 7 7 7 7 7 7 7 8 8 7 7 7 7 8 10 13 11 7 2 -2 -3 -1 2 4 5 5 6 7 7 8 8 8 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 10 12 12 11 10 8 7 7 7 7 7 7 7 9 10 11 12 13 13 12 12 13 13 12 13 13 nan
nan 9 10 10 9 8 7 7 7 7 7 8 8 8 9 10 10 9 8 8 7 8 8 8 8 7 7 7 7 8 8 9 9 8 8 8 8 8 8 9 9 9 8 6 5 5 5 6 6 7 8 8 9 10 10 9 8 7 7 7 8 9 9 10 9 9 8 7 7 7 8 9 10 10 9 6 3 3 4 5 6 7 8 9 8 7 7 8 9 8 8 7 7 7 7 7 7 8 9 8 8 8 8 8 8 9 10 9 6 1 -4 -4 -1 3 4 4 5 6 7 7 8 8 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 10 11 13 13 11 9 8 7 7 8 9 8 7 8 8 9 12 14 13 13 14 14 13 13 13 13 nan
nan 10 10 10 9 8 7 7 6 7 7 7 7 8 9 10 10 9 8 8 7 7 8 8 8 8 8 8 7 7 7 8 9 9 9 9 8 8 8 9 10 10 9 8 7 6 6 6 7 7 8 9 10 10 9 8 7 7 8 9 10 10 10 10 9 8 7 6 7 8 9 9 10 9 7 4 3 3 4 6 7 8 8 9 8 8 8 9 9 8 7 7 7 7 8 7 7 8 8 8 8 8 8 8 7 7 7 7 6 2 -2 -2 1 3 4 4 5 6 7 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 10 9 10 11 12 13 13 11 9 8 7 8 8 8 7 7 8 9 12 13 14 14 14 14 14 13 13 13 nan
nan 10 10 10 10 9 7 7 6 6 6 6 7 8 9 11 10 9 8 8 7 7 7 7 8 8 8 7 7 7 7 8 9 9 9 9 9 9 9 10 11 11 11 10 9 6 6 6 7 8 9 10 10 10 9 8 8 8 9 10 11 11 10 9 8 7 6 6 7 8 9 9 10 8 5 2 2 3 5 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 7 7 8 9 8 8 8 9 8 7 6 6 7 7 6 4 3 3 3 3 3 4 5 6 7 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 8 9 10 11 11 11 11 11 11 12 13 13 13 11 10 9 8 8 7 6 5 6 8 11 12 13 13 12 12 12 13 13 13 nan
nan 10 10 10 10 9 8 7 6 6 6 6 7 8 10 10 10 9 8 7 7 6 7 7 7 7 7 6 6 7 8 8 9 9 10 9 8 8 9 10 11 11 12 11 8 6 6 6 7 9 10 10 10 10 9 8 8 9 10 12 12 11 11 9 8 6 6 6 7 8 9 10 10 7 3 1 2 3 6 8 9 9 9 8 8 8 8 7 8 8 8 8 8 8 7 7 9 9 8 8 8 8 8 7 6 6 6 7 7 7 7 7 5 4 3 4 5 6 7 8 8 9 9 9 8 8 7 6 6 6 6 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 8 8 8 9 10 11 12 13 13 12 12 12 12 13 13 13 12 11 10 9 8 6 4 4 5 7 9 11 11 10 9 9 10 11 12 nan
nan 9 10 10 10 9 9 8 7 7 7 7 8 9 9 10 10 9 8 7 7 6 6 6 7 7 6 6 6 6 7 8 8 9 10 10 8 7 8 9 10 10 10 9 7 6 6 7 8 9 10 10 10 9 9 8 9 10 11 12 12 12 11 10 8 7 7 7 8 9 10 10 9 6 2 1 2 5 7 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 7 8 9 9 8 8 8 8 8 7 6 6 6 7 7 8 9 8 7 6 5 5 5 6 7 8 8 9 9 9 8 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 10 11 12 13 14 13 13 12 12 13 14 14 13 13 12 11 10 8 6 4 4 5 6 9 9 9 8 7 7 7 8 nan
nan 9 10 10 10 10 9 9 8 7 7 8 8 8 9 9 10 9 8 7 7 6 5 6 6 6 7 7 7 6 7 7 8 9 10 10 8 7 7 8 8 9 9 8 7 6 7 7 9 10 10 10 9 9 9 9 9 11 12 12 12 12 11 10 8 7 8 9 10 10 10 9 7 4 2 2 4 6 8 10 10 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 5 5 6 7 8 8 9 8 8 8 7 6 5 5 6 8 11 12 12 10 8 6 5 5 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 11 12 13 13 13 13 12 12 12 13 14 14 13 12 12 12 10 9 7 5 4 5 6 8 8 8 7 6 5 6 nan
nan 9 10 10 10 10 10 9 8 8 8 8 8 8 8 9 9 9 8 7 6 6 5 6 6 7 7 8 8 7 7 8 8 9 10 11 9 8 8 8 8 9 8 7 7 6 7 7 9 10 10 9 8 8 8 9 9 11 12 12 12 12 11 9 7 8 10 11 11 10 8 7 4 2 2 4 6 8 9 10 10 9 8 7 7 7 7 8 8 8 8 8 8 8 9 9 8 8 8 8 7 7 6 6 5 6 8 8 8 9 8 8 8 8 8 7 6 6 8 11 14 15 14 10 6 3 3 5 6 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 12 12 13 14 13 12 11 11 10 10 9 7 6 5 6 7 8 9 8 7 6 6 nan
nan 9 9 9 9 10 10 9 9 8 8 8 8 7 7 8 9 9 9 8 7 6 5 5 6 7 7 8 8 8 8 8 8 9 10 11 10 9 9 9 9 9 9 8 7 6 6 7 8 9 9 8 8 8 8 9 10 11 11 11 11 10 9 8 8 10 12 13 12 9 5 3 2 2 3 6 8 9 10 10 9 8 8 7 7 7 9 10 9 8 7 7 8 8 8 8 8 8 8 7 7 7 6 6 7 8 8 8 9 8 8 8 8 8 8 7 7 8 9 12 15 15 12 6 -1 -3 1 5 7 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 9 9 9 9 9 10 10 9 9 9 8 8 8 8 8 9 9 8 9 9 10 10 11 13 12 11 10 9 9 9 9 9 8 7 7 7 8 9 9 8 8 7 nan
nan 9 9 9 10 10 9 9 9 9 8 8 8 7 7 8 9 9 9 9 8 7 6 6 6 7 7 7 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 8 7 6 6 7 8 8 8 8 8 8 9 10 10 11 11 11 10 9 8 8 10 12 14 15 12 7 1 -1 -1 1 5 8 9 10 10 9 8 8 7 7 7 8 10 10 10 8 7 7 7 8 8 7 7 7 8 7 7 7 7 7 8 9 8 8 8 8 8 8 7 7 7 7 8 8 9 10 11 10 5 -4 -10 -7 0 5 8 9 9 9 8 9 9 9 9 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 9 8 7 7 7 7 7 6 7 7 7 8 8 8 9 11 11 11 10 9 8 8 8 9 9 9 8 8 8 8 9 9 8 8 nan
nan 9 9 9 10 10 9 9 9 9 9 8 8 8 7 8 8 9 9 9 9 8 7 7 7 7 7 7 7 8 8 8 7 8 8 8 8 8 9 10 11 11 11 9 7 6 7 8 8 7 7 7 8 9 10 10 11 11 10 9 8 8 8 9 10 13 14 14 10 3 -3 -3 -1 3 7 9 10 10 9 8 7 7 7 7 8 9 10 10 10 8 7 7 7 7 7 7 7 8 8 7 7 7 8 8 9 8 8 8 8 8 8 8 7 6 6 7 8 8 8 8 8 5 -2 -11 -13 -5 3 7 9 10 9 9 9 9 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 9 8 7 7 6 6 6 6 6 6 6 7 7 7 7 8 8 9 10 10 9 8 8 8 8 9 9 9 8 8 8 8 8 8 8 nan
nan 9 9 8 8 9 9 8 8 9 9 8 8 8 8 7 7 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 10 11 11 10 8 8 9 9 9 8 7 7 7 8 10 11 11 10 9 9 8 8 8 9 10 11 12 10 5 -2 -4 -3 1 6 9 11 11 9 8 7 7 7 7 8 8 9 9 9 9 8 7 7 7 7 7 7 8 8 8 8 7 7 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 1 -6 -11 -7 2 8 11 11 10 9 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 9 8 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 7 8 8 9 9 8 8 8 8 7 8 8 nan
nan 9 8 8 7 7 8 8 9 9 9 9 9 8 8 7 7 7 9 9 9 8 7 7 6 6 6 7 7 7 7 7 7 8 8 8 8 7 7 8 9 10 10 9 9 9 10 10 9 8 7 7 7 7 8 10 10 10 10 9 9 9 9 9 9 10 9 6 1 -3 -2 1 6 10 12 12 10 8 7 7 7 7 8 8 9 9 9 9 9 8 8 7 7 6 7 7 8 8 8 8 8 9 10 10 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 7 5 -1 -6 -5 3 11 15 14 12 10 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 9 8 7 7 6 6 6 6 6 6 6 6 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 nan
nan 9 8 7 7 7 8 9 9 9 9 9 8 8 8 7 7 8 8 9 9 8 8 7 6 6 7 7 7 7 8 7 7 8 8 8 8 8 8 7 7 8 9 9 9 9 10 10 10 9 8 7 7 7 7 8 10 10 11 10 10 9 9 8 8 8 6 3 0 -1 1 6 10 12 13 11 8 7 7 8 8 8 8 8 8 8 8 9 8 8 8 7 7 6 7 8 8 8 8 9 9 10 10 9 9 9 8 8 7 7 7 8 8 8 8 8 7 7 7 7 5 2 1 6 15 20 19 15 12 11 10 9 8 9 9 10 10 11 11 11 12 12 12 11 11 11 11 11 11 10 10 9 8 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 nan
nan 8 8 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 9 9 9 9 8 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 7 6 6 7 7 8 9 10 10 11 10 9 7 7 8 8 7 7 8 10 10 10 10 9 8 8 8 7 5 3 2 2 5 9 12 13 11 8 6 6 8 9 9 8 8 8 8 8 9 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 8 8 8 7 7 8 8 8 8 8 8 8 7 6 7 7 7 7 9 15 20 21 18 14 12 11 9 7 6 7 8 10 10 11 11 12 12 12 12 12 11 11 11 11 11 11 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 6 6 6 6 7 7 7 7 7 6 6 nan
nan 8 8 8 7 7 7 8 8 9 9 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 6 6 6 7 7 8 10 11 10 10 8 7 7 8 9 8 7 8 8 9 9 9 9 8 8 7 6 4 3 3 5 8 11 11 10 8 6 6 7 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 8 9 9 8 9 9 9 9 9 8 8 8 8 7 8 8 8 8 8 8 8 7 7 7 7 8 9 10 12 14 15 14 13 11 10 8 5 3 3 6 8 10 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 10 9 9 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 6 6 6 6 7 7 7 7 7 6 nan
nan 8 8 8 8 7 7 8 8 8 8 8 8 9 8 8 8 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 8 10 10 10 9 9 8 8 9 10 9 9 8 7 6 6 7 7 8 7 6 5 4 4 5 7 10 11 9 7 5 5 6 9 9 9 9 8 8 8 8 9 8 8 7 8 8 8 7 7 8 9 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 10 10 10 9 9 9 8 8 7 4 1 -1 2 7 9 10 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 10 10 9 9 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 7 7 7 7 7 nan
nan 8 8 8 8 8 8 8 7 8 8 8 9 8 8 8 8 9 9 9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 8 9 9 10 10 11 10 9 7 5 4 5 7 7 7 7 6 5 5 5 6 8 10 9 8 6 5 6 8 10 10 9 8 8 8 8 9 9 8 7 8 8 8 7 7 7 8 8 8 9 9 8 8 8 8 7 7 8 9 8 8 8 8 8 7 7 7 7 8 8 7 8 9 9 9 8 7 5 4 3 1 -2 -6 -5 2 6 9 10 10 10 9 9 10 10 10 11 11 11 12 12 12 11 11 10 10 9 9 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 nan
nan 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 8 7 8 8 9 8 7 7 7 8 8 8 9 10 11 11 10 8 6 5 6 7 9 9 8 7 6 6 6 6 7 8 9 8 8 7 7 7 9 9 9 8 8 8 8 8 9 9 8 7 7 7 7 6 6 7 7 8 9 9 8 7 7 7 8 7 8 9 9 9 8 8 8 7 7 7 8 8 8 7 7 8 9 9 9 7 3 0 -2 -4 -5 -8 -11 -6 2 6 8 9 8 8 8 8 8 9 10 10 11 11 11 11 11 11 10 10 9 8 8 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 6 6 6 nan
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nan 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 10 9 8 8 7 7 7 8 8 8 8 7 7 7 6 6 7 7 7 7 6 5 6 7 8 7 5 4 4 4 5 6 6 6 7 7 7 7 7 7 7 8 9 9 9 8 8 8 8 11 13 13 12 11 10 10 9 8 8 8 9 9 8 8 7 7 10 13 16 18 18 17 15 13 11 9 9 9 9 10 10 11 12 14 15 15 13 11 11 12 16 21 25 26 27 28 27 28 29 29 29 27 26 23 19 15 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 9 9 9 9 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 10 10 11 11 11 10 10 10 10 11 11 11 10 10 10 11 11 11 12 12 12 11 11 10 9 8 8 7 7 8 8 8 8 8 7 7 7 7 7 7 8 7 6 6 6 7 8 7 6 5 4 4 5 5 5 5 5 5 6 5 5 6 7 8 9 9 8 7 6 7 8 11 13 13 12 11 11 10 9 8 8 8 9 9 9 8 8 8 10 14 17 18 17 15 12 9 8 8 9 10 11 12 12 12 12 12 13 12 11 10 9 10 11 14 17 19 20 18 16 15 16 20 24 27 28 27 24 20 16 15 15 15 13 12 12 12 12 12 11 11 12 11 12 12 11 11 11 11 11 11 11 11 11 11 11 nan
nan 9 9 9 9 9 9 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 11 11 11 11 10 10 10 11 11 11 11 10 10 11 11 12 12 12 12 11 11 10 10 9 8 8 7 7 7 8 8 8 8 7 7 7 7 7 8 8 7 6 5 6 6 6 5 5 5 5 7 8 8 8 7 7 6 5 6 7 9 11 12 12 11 9 7 7 9 11 12 13 12 12 11 10 9 9 9 9 10 11 11 11 10 10 12 16 19 20 17 14 11 8 6 6 7 9 10 11 12 12 13 12 12 10 9 8 9 9 10 11 12 12 12 12 10 7 4 2 3 5 8 11 12 11 10 13 17 20 18 15 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 nan
nan 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 11 11 10 10 9 8 8 7 7 7 8 8 8 8 7 7 7 8 8 7 6 5 4 5 5 5 6 6 7 7 8 10 11 12 12 12 11 9 8 8 10 12 14 14 13 11 10 10 12 13 14 13 13 12 11 11 10 9 9 10 11 12 13 13 13 13 15 18 21 21 18 13 10 8 7 7 8 8 9 9 9 10 11 11 11 10 9 8 9 10 11 12 12 12 12 12 12 12 12 10 6 0 -2 -4 -4 -5 -2 2 8 14 16 14 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 12 12 11 11 nan
nan 8 8 8 9 9 9 9 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 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 9 8 8 8 8 8 8 8 8 8 7 8 8 8 6 5 3 3 3 4 5 7 9 10 9 10 11 12 13 13 13 13 11 9 9 10 11 13 14 13 12 13 14 15 17 16 14 13 12 11 11 10 10 10 10 11 12 13 13 14 14 16 18 19 20 17 13 9 7 6 6 7 8 9 9 8 8 8 9 9 9 9 9 9 9 9 10 12 13 13 13 14 15 18 20 22 20 16 12 8 6 4 6 10 14 15 13 13 15 16 17 16 15 14 14 13 13 13 13 14 15 16 14 13 13 13 12 12 12 12 12 nan
nan 8 8 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 10 9 9 10 10 11 11 11 12 11 11 11 11 11 11 11 11 11 11 10 11 11 11 10 10 10 10 11 11 11 11 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 7 7 4 1 -2 -2 -1 2 3 6 8 11 11 10 11 12 13 12 12 12 10 8 7 8 10 12 13 13 13 14 15 16 17 16 14 12 11 10 10 10 10 11 11 12 13 13 13 14 14 15 15 15 14 12 9 7 5 5 6 6 7 8 8 9 8 8 8 8 8 9 10 10 9 9 8 8 9 11 12 13 14 15 17 20 23 26 28 28 27 26 27 28 31 31 28 25 25 26 26 24 22 19 17 15 14 14 15 18 22 24 22 19 16 15 14 13 13 12 12 12 nan
nan 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 11 10 10 9 10 11 12 12 12 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 11 11 10 9 9 9 9 9 9 9 9 8 8 7 5 3 -1 -6 -11 -11 -9 -4 -0 2 4 6 8 8 10 12 13 12 12 11 8 6 5 6 9 12 14 15 14 14 14 14 13 13 12 11 10 10 10 10 10 11 12 13 14 14 13 13 13 13 12 11 9 7 5 4 4 4 5 6 7 7 8 9 9 9 9 9 9 9 10 10 11 11 11 10 9 9 10 11 13 13 13 13 15 17 21 25 29 30 31 33 35 37 37 34 34 34 33 33 32 30 26 23 20 19 19 20 23 27 28 25 20 17 14 14 13 13 13 13 12 nan
nan 9 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 9 7 4 4 7 10 11 12 13 13 13 12 12 12 11 11 10 10 9 9 10 11 11 11 11 11 10 10 9 9 9 10 9 9 9 9 8 7 3 -2 -7 -12 -17 -17 -14 -9 -4 -2 -1 -0 1 3 6 9 12 13 11 10 8 6 5 6 9 12 14 15 15 13 12 11 10 9 8 8 9 9 10 10 11 12 13 13 13 13 13 12 11 10 9 8 7 5 5 4 4 5 6 6 7 8 8 9 9 9 9 10 10 10 10 10 10 11 12 13 13 12 11 11 11 12 13 12 12 13 14 15 17 19 22 23 24 24 25 24 24 25 26 27 28 29 30 29 28 28 29 28 26 24 22 20 19 19 19 17 16 15 15 14 13 13 nan
nan 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 9 6 1 -3 -5 -1 5 9 12 13 14 15 14 13 13 12 11 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 9 9 8 8 6 1 -6 -11 -14 -16 -14 -10 -5 -1 1 1 0 -1 0 2 5 8 9 8 6 5 5 4 5 8 11 13 14 14 12 11 9 8 7 7 8 9 9 10 11 11 12 13 13 13 12 11 10 9 8 7 5 4 4 5 5 5 6 7 7 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 13 14 15 14 14 13 13 13 13 13 13 13 14 14 14 14 14 14 13 12 12 12 13 13 15 17 18 20 23 26 29 32 32 30 25 21 18 20 23 25 25 23 21 18 15 14 13 nan
nan 10 10 10 10 10 10 9 9 9 8 8 8 8 9 9 10 10 10 11 11 11 10 9 5 -1 -8 -11 -10 -2 6 10 13 15 16 15 14 14 13 13 12 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 9 9 8 7 6 2 -4 -9 -11 -10 -7 -4 0 4 7 7 6 5 5 5 5 6 5 3 -1 -3 -2 0 3 6 10 12 12 11 9 8 6 6 6 7 8 9 10 11 11 12 12 13 13 12 11 9 8 6 6 6 5 5 4 5 6 6 5 5 6 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 13 14 16 17 17 17 16 15 14 14 14 14 13 12 12 11 10 9 9 8 8 8 8 9 9 10 10 12 15 19 22 24 25 27 27 25 23 22 24 24 23 21 18 15 13 12 11 nan
nan 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 10 10 10 10 10 9 7 1 -6 -11 -11 -7 2 8 11 14 17 17 15 14 14 14 13 12 11 11 11 11 11 11 10 10 9 8 9 9 10 11 10 10 10 9 9 8 5 1 -1 -2 -1 2 4 6 8 10 10 10 9 9 9 9 8 7 4 -0 -5 -6 -5 -3 0 4 7 8 7 6 5 4 4 4 6 9 10 10 11 12 12 12 12 12 11 9 8 7 6 5 5 5 5 5 6 7 7 6 5 5 7 8 9 9 8 9 10 9 9 9 9 9 9 9 10 11 11 12 13 15 17 19 20 20 19 16 14 13 12 11 10 9 8 7 7 7 7 7 7 8 8 8 9 9 9 10 11 13 14 15 17 20 22 22 18 13 9 6 5 6 6 7 8 9 9 nan
nan 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 10 10 9 9 9 8 5 -2 -9 -10 -7 -1 5 8 11 13 15 16 17 17 17 16 14 12 12 12 12 12 11 11 10 9 8 8 8 9 10 10 10 10 10 10 9 8 6 6 6 8 11 13 14 15 16 15 12 10 9 8 9 9 8 7 6 3 1 0 -0 -0 1 2 2 1 2 3 5 5 5 6 8 8 8 9 10 12 12 12 11 9 8 6 6 6 6 5 4 3 4 5 6 8 8 8 8 9 11 10 9 7 7 9 9 10 10 10 10 10 10 10 11 12 12 12 13 14 16 17 18 18 16 13 11 10 8 6 5 5 5 5 7 7 7 8 8 8 9 9 10 10 10 11 11 12 12 12 12 13 14 13 8 2 -3 -6 -6 -3 -0 3 6 7 8 nan
nan 10 10 10 10 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 8 8 7 2 -5 -9 -7 -3 2 6 9 10 12 14 17 21 22 22 18 14 13 12 13 13 12 11 11 10 9 8 7 8 8 8 8 9 9 10 10 9 8 9 10 12 14 17 18 19 20 19 16 12 9 8 8 9 9 9 8 8 7 7 8 7 6 5 2 0 -1 1 4 5 6 7 8 8 7 7 8 10 10 10 9 9 8 7 7 7 6 6 5 4 5 5 6 7 8 10 11 12 13 13 11 9 8 8 9 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 12 10 8 7 7 5 4 4 4 4 6 7 8 9 10 10 10 10 10 10 11 11 12 12 12 11 10 10 10 9 6 2 -1 -2 -1 -0 1 3 5 7 8 9 nan
nan 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 6 -1 -7 -8 -5 -1 3 7 9 10 11 12 17 23 26 24 19 15 14 13 13 13 12 11 10 9 9 8 8 8 7 7 8 8 9 9 10 9 9 10 10 11 13 15 15 15 14 11 9 8 9 11 11 11 10 9 9 9 9 10 10 10 10 8 7 5 5 5 5 4 3 4 6 7 7 8 10 9 9 8 7 7 7 7 7 7 6 6 7 8 10 11 10 9 11 12 13 13 13 12 10 9 10 10 10 10 10 10 10 11 11 11 10 9 9 9 9 10 9 8 8 7 6 5 5 6 6 6 6 6 6 7 8 9 10 12 12 12 11 11 11 11 10 10 11 11 11 9 8 8 6 3 -1 -3 -2 1 4 6 6 7 8 9 9 10 nan
nan 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 8 8 9 8 4 -4 -8 -7 -4 -0 4 8 9 10 10 12 16 21 25 25 20 17 15 14 12 11 11 10 9 9 8 8 8 7 7 8 8 9 9 9 9 9 10 10 9 9 10 10 9 5 1 -0 2 6 11 14 14 13 12 11 10 10 10 11 11 11 11 10 10 10 11 10 8 5 3 2 4 5 7 8 9 8 8 8 8 8 7 7 8 8 8 9 11 12 12 11 10 10 11 12 12 10 9 9 10 11 11 12 11 11 10 9 9 9 9 8 7 7 6 7 7 7 7 6 5 5 4 4 5 6 7 8 9 9 9 10 11 11 12 13 13 12 12 11 11 11 10 10 11 11 10 9 8 5 1 -4 -6 -5 -1 3 6 7 8 9 9 10 10 10 nan
nan 10 9 9 9 9 9 9 10 10 10 10 10 9 9 8 9 9 9 9 9 7 1 -6 -7 -6 -3 1 5 8 9 10 10 11 14 20 25 25 23 19 16 13 12 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 8 3 -4 -6 -3 2 9 14 15 14 14 14 13 12 12 12 12 11 11 12 12 13 14 15 15 14 12 9 8 6 6 5 6 6 7 8 8 8 7 7 7 7 8 9 10 10 9 8 6 6 8 10 10 8 7 7 8 9 10 11 12 12 11 10 10 10 10 8 7 7 7 8 8 7 6 6 6 6 5 4 5 6 6 8 10 11 11 12 12 11 11 13 13 13 12 11 10 10 10 10 11 11 11 11 11 10 7 2 -0 -0 2 5 7 9 9 10 10 10 11 11 11 nan
nan 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 9 10 10 7 1 -4 -6 -5 -2 2 5 7 9 10 11 11 13 18 23 26 24 20 16 13 11 10 10 10 10 9 9 9 9 9 10 10 9 9 8 8 9 9 9 9 9 10 9 6 1 -3 -0 5 12 16 17 14 14 14 14 14 14 14 14 14 14 15 16 18 19 22 23 21 19 16 13 11 9 8 7 6 6 7 8 8 9 8 8 7 6 6 7 7 6 5 4 5 8 10 11 10 8 7 8 8 8 8 9 10 11 11 13 14 13 11 9 8 9 10 10 10 9 8 7 7 6 5 5 6 6 7 9 11 11 12 12 12 11 11 12 12 12 12 11 10 10 10 10 11 11 11 12 12 12 12 12 13 14 14 14 13 12 12 11 11 11 11 11 12 nan
nan 9 9 9 9 10 10 10 10 10 10 10 9 8 8 8 8 9 10 11 10 8 3 -2 -4 -4 -2 2 5 8 10 11 11 11 13 16 21 25 25 21 17 14 11 10 10 10 11 10 10 9 9 10 10 10 9 9 8 9 9 9 9 9 10 9 8 6 4 6 11 16 19 20 16 13 12 12 12 13 15 16 18 19 20 22 24 26 28 30 29 25 19 15 12 11 11 11 11 10 9 8 8 8 9 10 9 8 7 7 7 6 6 7 8 12 14 15 14 12 11 11 11 11 10 9 8 8 10 12 14 14 12 8 7 6 7 8 9 9 9 8 7 5 5 5 6 7 8 9 11 12 12 12 12 12 11 11 11 12 12 11 11 10 10 10 10 10 11 11 12 12 13 16 20 23 23 20 17 14 13 12 12 11 11 11 11 12 nan
nan 9 9 9 10 10 10 10 10 9 9 9 9 8 8 8 8 9 10 10 10 8 4 -1 -4 -4 -2 2 5 8 10 11 11 11 12 14 19 25 26 23 19 14 11 10 10 11 10 10 9 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 8 11 14 17 17 14 12 10 9 9 9 10 12 15 17 20 23 25 27 29 31 30 26 21 17 14 14 15 16 18 18 17 15 13 11 11 12 12 11 10 9 9 9 9 9 11 14 15 16 16 14 12 12 13 13 13 12 10 9 9 11 12 12 9 5 3 4 4 5 6 7 8 8 6 5 5 5 7 9 10 11 12 13 14 13 13 12 11 11 11 11 11 12 11 11 11 10 10 10 10 11 11 12 12 13 16 20 20 18 15 12 11 12 11 11 11 11 11 11 11 nan
nan 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 8 3 -3 -5 -5 -2 2 6 9 10 11 11 11 11 12 18 26 29 26 21 14 11 11 10 10 10 10 10 10 9 8 8 8 9 9 9 10 10 9 8 8 7 7 7 7 8 9 10 10 9 7 6 6 7 7 7 8 10 12 14 17 19 21 23 24 24 21 18 15 15 16 19 21 24 26 26 24 22 20 20 20 18 15 13 11 10 10 10 11 12 13 14 13 12 10 9 9 10 12 12 11 10 9 8 9 9 9 6 3 2 3 6 7 7 8 9 8 7 6 6 7 9 11 12 13 14 15 15 14 13 12 11 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 12 13 14 14 14 11 9 8 8 9 10 10 11 11 11 11 11 11 nan
nan 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 10 7 1 -4 -5 -4 -1 3 6 9 10 11 11 11 11 13 21 29 30 28 21 13 10 10 10 10 10 11 10 9 8 8 8 9 10 10 11 11 10 9 7 7 7 7 7 8 8 8 7 6 4 2 1 3 4 6 7 8 10 11 13 14 16 17 17 17 15 13 12 12 14 17 19 22 25 27 26 25 24 24 24 23 20 16 12 10 10 10 11 13 14 13 12 10 8 6 6 7 9 9 9 8 7 7 7 8 7 6 4 4 5 8 9 10 11 11 11 10 9 9 11 12 14 14 14 14 15 15 14 13 11 10 9 9 9 9 9 10 10 11 11 10 10 10 10 10 10 10 11 12 12 12 11 10 10 9 10 11 11 11 11 11 11 11 11 11 nan
nan 9 9 10 10 9 9 9 9 9 10 10 10 10 10 10 9 8 9 9 9 6 0 -3 -5 -4 -1 3 6 9 10 11 11 11 11 16 24 30 31 27 17 10 10 10 9 10 10 11 10 9 8 9 10 10 11 11 10 10 8 6 6 7 8 8 8 8 8 8 7 5 -0 -4 -4 -1 3 6 8 9 11 13 14 15 15 15 14 13 12 11 11 13 14 16 18 19 20 20 18 17 17 17 16 15 13 11 10 9 9 11 12 13 13 12 11 8 6 5 6 7 7 7 6 6 6 7 8 9 10 10 9 10 11 12 13 13 13 13 13 13 14 15 16 17 17 16 15 14 13 13 12 11 11 10 10 9 8 8 9 9 10 11 11 11 11 10 10 10 10 10 11 11 11 11 12 14 17 17 16 14 12 12 12 12 12 12 12 12 nan
nan 10 10 10 10 9 8 8 8 9 10 10 11 11 11 10 9 8 8 8 8 4 -1 -4 -5 -4 -1 3 6 8 10 10 10 11 13 20 28 32 30 23 13 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 7 6 5 7 8 8 8 7 7 7 8 7 3 -4 -7 -5 -2 3 6 8 10 12 14 15 15 14 14 13 12 11 12 13 15 16 16 16 16 14 11 7 5 4 4 4 5 6 7 7 8 9 11 13 12 10 8 6 3 1 1 2 3 4 5 6 7 8 9 11 13 14 15 16 16 16 16 15 15 15 16 16 17 17 17 17 17 17 16 15 13 11 11 11 11 11 11 10 10 9 9 9 10 10 11 11 11 10 10 11 11 11 12 12 11 11 11 14 17 20 22 20 17 14 14 13 13 12 12 12 12 nan
nan 11 11 10 10 9 9 8 9 9 10 10 11 11 10 9 8 7 8 9 8 4 -1 -4 -5 -3 0 3 5 7 9 10 10 12 17 25 31 31 25 17 11 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 7 6 6 8 8 8 8 7 7 7 7 8 7 1 -5 -6 -4 -0 3 6 9 12 15 15 15 14 14 13 13 12 13 14 16 16 16 15 14 12 7 1 -3 -7 -6 -4 -1 1 3 3 3 4 6 8 9 7 3 -1 -4 -7 -7 -6 -4 -2 -2 1 3 6 9 11 14 16 17 18 18 19 19 18 17 18 18 17 17 16 15 14 13 13 13 13 12 11 11 11 11 12 12 11 11 10 9 10 10 10 11 11 10 10 10 10 11 11 12 12 12 12 11 12 13 16 19 21 22 19 17 15 14 14 13 13 13 13 nan
nan 10 10 10 10 9 9 9 9 9 10 10 11 10 10 9 8 7 8 9 8 5 1 -1 -2 -1 1 2 4 7 9 10 11 14 20 29 31 26 19 13 10 9 9 9 9 9 8 8 8 9 10 9 9 9 8 7 7 7 8 9 9 7 6 6 6 7 8 8 6 -1 -4 -4 -2 2 6 9 13 17 18 16 15 15 14 14 13 13 14 16 16 15 14 13 12 7 3 -1 -4 -4 -2 -0 1 2 2 1 -0 -0 1 2 0 -3 -6 -8 -9 -9 -8 -5 -3 -4 -4 -3 0 4 7 10 12 14 15 16 17 17 17 17 16 16 16 16 14 13 11 10 10 10 10 11 11 11 11 11 12 13 12 12 11 10 10 10 10 11 11 11 10 10 10 11 11 11 12 12 11 12 11 12 12 13 17 21 23 22 20 17 15 15 14 14 14 13 nan
nan 9 9 9 10 10 9 9 9 9 10 11 10 10 10 9 8 8 8 8 8 6 4 2 0 -0 0 1 3 6 8 9 11 15 23 29 27 20 14 11 10 10 11 10 9 9 9 9 9 9 10 10 10 9 8 7 8 9 9 7 6 4 4 5 6 7 8 8 4 -2 -4 -3 -0 4 8 12 16 20 20 18 16 16 16 15 14 13 13 14 14 13 12 12 11 8 7 6 6 8 9 8 7 7 6 4 3 2 2 0 -2 -5 -6 -5 -3 -1 2 4 4 3 2 2 3 4 5 5 5 7 12 15 16 15 13 12 12 12 12 11 11 10 9 9 9 10 10 10 10 10 11 11 12 13 13 12 12 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 15 19 22 23 22 19 17 16 16 15 14 14 nan
nan 9 9 9 10 10 10 10 10 10 11 11 11 10 9 9 8 8 8 7 8 8 6 3 1 -0 -0 0 2 5 8 9 11 15 23 27 23 17 13 11 11 11 10 9 7 7 7 8 9 9 10 10 10 9 8 8 8 7 3 1 1 2 4 6 7 8 9 8 3 -2 -4 -3 2 6 9 13 18 23 23 20 18 16 16 14 12 12 12 11 11 10 10 11 11 12 13 15 15 16 16 15 14 13 12 10 8 7 6 5 3 2 3 5 7 9 10 10 10 10 10 10 9 8 5 4 5 10 15 17 15 12 10 10 9 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 12 13 13 13 13 12 12 12 12 11 11 11 11 12 12 12 11 11 12 12 12 12 12 13 12 13 15 17 20 23 24 21 19 18 17 17 16 15 nan
nan 9 10 10 10 10 11 11 11 11 11 11 11 10 9 9 8 8 8 8 9 8 6 4 2 -0 -1 -1 1 4 7 8 10 15 22 24 21 17 14 13 12 10 8 6 5 6 7 8 9 10 10 10 10 8 7 7 5 2 -3 -4 -2 1 5 8 9 10 10 7 2 -3 -4 -1 4 7 10 14 21 27 25 21 18 15 14 12 11 10 10 10 10 10 10 11 12 13 14 15 15 16 17 18 17 16 14 12 10 10 10 10 10 10 10 11 12 12 13 13 14 16 16 15 13 10 8 9 13 18 20 18 13 10 9 8 8 10 10 10 10 9 9 10 10 10 10 10 10 10 10 11 12 13 13 13 13 12 12 12 11 11 11 11 12 12 12 12 12 12 12 13 13 13 14 14 14 14 15 15 19 22 25 25 24 23 22 22 20 18 nan
nan 10 10 10 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 8 7 5 3 0 -1 -1 0 3 6 7 9 14 21 22 21 18 16 13 11 8 6 5 5 6 8 9 10 10 10 10 9 7 7 7 5 1 -1 -0 1 4 8 10 10 10 9 5 -1 -4 -4 1 6 9 12 16 23 27 24 20 16 13 12 11 10 9 9 10 10 10 11 12 12 13 12 12 13 15 16 16 16 15 15 14 14 15 16 16 15 14 14 14 15 16 17 19 21 22 20 17 13 11 11 13 16 19 19 15 10 9 8 8 9 10 11 11 10 10 10 10 10 10 10 10 10 10 11 12 12 13 13 13 12 12 11 10 10 10 10 11 11 11 11 11 12 12 12 13 13 14 15 15 15 15 15 15 17 20 24 28 30 31 31 29 26 24 nan
nan 10 10 10 10 11 11 10 10 10 11 11 11 11 11 10 9 9 10 9 9 9 8 7 4 1 -1 -2 -1 2 5 7 8 13 18 21 23 21 16 12 9 7 6 6 7 8 10 11 12 11 10 10 9 9 10 10 10 8 7 7 7 7 9 9 8 6 4 -1 -5 -6 -2 5 9 11 13 17 23 24 22 18 14 12 11 11 10 10 10 11 11 11 12 12 12 12 11 11 12 12 12 12 12 13 13 14 17 19 20 19 18 17 18 19 21 23 25 27 27 26 22 16 13 11 11 13 16 19 19 15 12 11 10 11 12 12 12 11 10 10 10 10 10 11 10 10 9 10 11 11 12 13 13 12 11 11 11 10 10 10 10 10 10 10 10 11 11 11 12 12 13 14 15 15 15 15 14 15 15 17 21 26 31 33 32 31 31 31 nan
nan 10 10 10 10 10 10 10 9 9 10 11 12 12 12 10 10 10 10 9 9 9 9 8 5 1 -1 -3 -2 1 4 6 8 11 16 21 24 21 15 11 9 8 8 7 8 10 11 12 12 10 9 9 11 12 13 14 14 13 13 11 8 6 6 5 3 1 -2 -5 -6 -3 3 9 12 13 13 17 21 22 21 17 14 12 12 11 11 11 11 11 12 11 12 12 13 13 13 12 11 10 8 8 8 9 10 12 15 16 17 17 17 18 19 22 25 28 28 27 26 24 18 14 12 12 14 17 21 24 24 20 17 15 14 14 14 13 11 10 10 10 10 10 10 10 10 9 8 9 10 10 11 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 12 12 13 14 14 14 14 14 13 13 14 17 20 22 23 24 26 28 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
81 61 42 27 18 14 12 8 6 6 9 11 9 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 3 4 5 8 10 14 12 6 3 3 2 7 17 29 39 44 44 41 39 33 27 22 23 22 20 19 20 26 33 44 60 72 77 84 100 126 153 166 179 211 230 239 247 260 279 265 340 539 654 660 605 497 327 252 289 255 253 289 362 478 653 918 1208 1266 1084 1242 1585 1810 1917 1995 2042 1945 1667 1456 1283 1113 1025 971 895 824 708 565 473 480 505 495 467 395 346 312 287 268 252 240 232 214 207 217 260 332 425 561 663 812 967 1038 983 883 768 599 477 388 337
42 29 22 22 23 18 17 13 5 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 1 2 4 5 6 7 7 4 2 1 0 6 13 23 32 38 40 38 36 36 34 29 29 32 33 29 24 30 38 46 58 69 79 89 99 112 127 141 151 166 182 195 201 201 221 211 217 245 276 295 299 281 249 243 228 220 219 214 216 280 461 809 1045 964 929 1102 1306 1337 1289 1533 1627 1600 1577 1608 1600 1489 1210 1131 1148 1084 933 794 729 689 616 569 502 432 389 352 326 314 295 278 267 254 244 249 261 276 309 375 498 778 1065 1186 1152 1055 906 720 560 458 398
28 28 33 37 33 21 16 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 4 9 17 26 33 38 36 34 33 33 30 28 30 38 42 30 34 40 47 55 65 77 90 95 102 105 110 116 124 131 138 145 147 152 154 154 155 158 168 176 182 193 206 218 229 239 239 209 191 291 632 785 808 857 970 1052 882 582 829 993 1080 1245 1399 1236 1048 1061 1190 1293 1265 1127 970 845 762 694 596 522 486 467 448 414 379 351 334 326 321 323 325 293 266 269 276 368 577 782 912 972 942 799 650 551 497 458
29 34 40 38 25 14 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 12 21 29 33 30 30 30 28 25 22 24 33 44 37 38 41 45 52 60 69 79 81 85 87 85 85 89 94 98 103 103 104 106 109 111 114 125 132 134 138 152 180 211 236 247 211 197 360 484 486 466 491 574 753 756 732 628 578 634 730 757 601 583 755 899 1015 1040 974 1015 1070 1058 891 724 616 555 524 511 421 398 378 373 366 355 366 352 301 272 266 309 407 494 558 642 723 747 683 632 642 648 625
23 23 21 15 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 14 19 24 20 22 23 21 18 17 20 24 29 31 32 34 37 41 47 51 55 56 58 58 57 57 59 63 66 70 70 71 72 73 78 80 88 98 103 104 110 126 154 186 207 188 179 206 233 254 261 246 257 375 411 348 305 333 433 532 531 452 351 289 347 475 616 838 1199 1392 1308 1081 865 725 667 646 594 504 442 408 391 380 371 371 360 333 296 283 322 386 416 435 491 552 599 690 841 970 976 954
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