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 8 8 8 9 10 11 12 11 9 8 7 7 8 8 9 9 10 10 10 10 9 8 8 8 9 9 9 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 6 7 7 7 7 7 8 8 8 8 8 8 8 7 8 9 9 9 9 9 9 8 7 6 3 -1 -3 1 5 6 6 5 4 4 4 4 5 6 7 8 9 10 10 10 9 9 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 8 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 10 11 10 9 8 7 7 6 7 8 9 9 10 10 10 9 8 7 6 4 4 4 6 9 13 18 24 28 32 34 33 30 26 23 20 17 15 13 11 10 10 9 8 8 nan
nan 9 8 8 7 8 8 9 10 9 8 7 7 7 7 7 8 8 9 9 9 9 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 8 8 7 7 6 6 6 7 7 6 6 6 7 7 7 7 7 8 8 8 8 9 8 7 7 7 7 8 9 9 9 9 8 7 6 4 -1 -5 -4 1 4 4 4 4 4 5 5 6 7 8 9 9 10 10 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 8 8 8 7 8 9 10 10 10 9 8 7 7 6 7 7 8 8 9 10 11 11 10 9 8 7 5 3 3 5 7 10 14 19 25 29 30 29 29 29 26 23 21 18 16 13 11 10 9 nan
nan 9 9 8 7 7 8 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 9 8 8 7 5 -0 -6 -7 -3 1 3 4 5 5 5 5 6 7 8 8 7 8 8 8 8 7 7 7 6 6 6 7 7 7 7 8 8 8 8 8 8 9 9 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 8 8 8 8 8 7 8 8 9 10 10 10 9 9 8 8 7 7 7 7 7 7 8 9 9 10 10 10 9 8 6 5 5 4 4 6 11 16 19 22 26 30 31 30 29 27 23 20 16 13 11 nan
nan 9 8 7 7 8 9 9 8 8 8 8 8 8 8 9 9 8 8 8 8 8 7 7 6 7 7 7 7 7 7 7 6 7 7 7 6 6 6 6 7 7 6 6 6 7 7 8 7 6 6 6 6 7 7 7 6 6 7 7 8 8 8 8 8 8 8 8 7 7 6 6 6 7 8 8 8 8 8 7 7 6 2 -4 -7 -6 -2 2 4 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 7 7 8 8 8 9 9 9 9 9 9 9 9 8 8 8 7 7 6 7 7 7 7 8 9 10 10 9 8 7 5 2 3 5 7 11 15 20 25 28 31 31 30 28 24 20 16 nan
nan 8 8 7 8 9 10 9 9 8 8 8 8 8 8 8 7 6 6 6 7 8 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 6 6 6 6 7 7 7 7 6 7 8 8 8 8 8 7 8 8 8 7 6 6 6 6 7 8 8 8 7 7 7 7 7 4 1 -3 -5 -4 -1 3 4 4 4 3 4 4 5 5 6 7 7 7 7 7 7 6 6 6 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 9 9 9 8 8 8 8 7 6 6 5 5 6 7 9 10 10 10 9 7 5 3 2 3 4 7 13 19 24 27 30 32 32 28 24 nan
nan 9 9 9 9 9 10 9 9 8 8 8 8 8 7 7 6 5 5 6 6 7 7 7 8 8 7 7 7 6 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 7 7 7 7 7 8 8 9 8 7 7 8 8 8 7 6 6 7 7 7 8 9 8 8 7 7 7 7 6 4 2 -2 -4 -3 -1 2 2 2 2 2 3 4 5 7 7 8 8 7 7 7 6 6 6 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 9 9 9 8 7 6 5 4 4 5 7 9 10 11 11 9 7 4 3 1 0 3 7 12 17 23 30 34 34 32 nan
nan 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 8 7 6 6 6 6 7 7 7 7 8 8 9 8 8 8 8 8 8 7 7 7 7 7 8 8 8 9 8 7 6 6 7 7 6 5 3 0 -2 -2 -1 1 1 1 1 2 3 5 6 7 7 7 7 7 7 6 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 8 9 9 8 8 7 6 5 4 5 6 7 9 10 11 10 9 7 5 2 1 2 4 8 14 21 27 31 34 nan
nan 8 9 8 8 7 7 7 8 8 8 8 8 8 7 6 6 6 7 7 7 8 8 8 8 9 9 9 9 8 8 8 8 9 9 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 8 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 7 6 6 6 7 7 7 6 6 5 2 1 -0 -0 -0 -0 -1 0 2 3 5 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 6 6 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 7 6 5 5 5 6 7 9 10 11 11 9 7 5 3 3 4 6 10 16 22 28 nan
nan 8 8 8 8 7 7 7 8 8 8 8 8 7 7 6 7 7 8 8 8 9 9 8 8 9 9 9 9 8 8 7 8 9 9 9 9 8 8 8 9 9 9 8 8 8 8 9 9 8 8 7 7 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 7 5 5 5 6 7 7 6 7 7 6 5 4 2 0 -2 -3 -3 -1 2 3 5 6 6 7 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 6 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 7 7 8 9 9 9 8 7 6 6 5 5 6 8 9 11 11 11 10 8 6 5 5 5 7 12 17 nan
nan 7 8 8 8 8 7 7 7 7 8 8 7 7 7 7 7 7 8 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 8 7 7 8 8 8 8 7 7 8 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 7 7 7 7 7 7 8 7 7 6 5 5 6 7 7 7 7 7 7 7 6 5 3 -1 -4 -5 -3 -0 2 3 5 6 6 6 6 7 7 8 8 8 8 8 8 7 7 7 6 6 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 9 10 10 9 9 8 7 6 6 7 8 9 10 11 11 10 9 8 7 5 4 5 8 nan
nan 7 7 7 8 8 7 7 6 7 7 7 7 8 8 8 8 8 9 9 8 8 7 8 8 8 8 7 7 7 7 6 7 8 9 9 9 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 6 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 7 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 8 8 7 7 6 5 2 -1 -3 -3 -2 -1 1 3 4 5 6 6 7 7 8 8 8 8 8 7 7 7 6 6 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 10 9 8 8 7 8 9 10 10 10 10 9 8 8 8 7 5 5 nan
nan 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 8 8 7 7 7 7 7 7 7 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 8 7 7 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 7 7 7 7 8 8 7 7 6 6 6 7 7 8 8 8 8 7 6 6 6 5 3 1 -1 -3 -3 -1 1 3 4 5 6 6 7 8 8 8 8 8 7 7 6 6 6 7 7 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 10 10 10 10 10 10 10 9 9 8 9 10 10 9 8 nan
nan 7 6 6 7 7 7 7 7 7 7 8 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 6 7 7 8 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 7 6 6 6 7 8 8 8 8 7 7 6 6 6 6 6 4 2 -0 -2 -2 -1 -0 1 3 5 6 7 7 7 8 8 7 7 6 6 6 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 12 12 12 11 11 11 10 10 9 9 9 10 12 12 12 nan
nan 8 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 6 7 7 8 8 9 8 8 8 8 7 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 8 8 8 8 7 7 8 8 8 8 7 7 8 8 9 9 9 9 9 9 7 6 5 6 7 8 8 8 7 7 7 6 6 6 6 7 6 6 4 1 -2 -3 -4 -2 1 4 5 6 6 7 7 7 7 6 6 6 6 7 7 8 8 8 8 9 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 11 12 12 12 12 11 11 11 10 10 10 11 11 12 13 nan
nan 10 9 8 8 8 7 8 8 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 8 9 8 8 8 7 7 8 8 8 8 8 7 7 7 8 9 9 9 10 9 8 6 5 5 6 8 8 8 8 8 7 7 6 6 6 6 6 6 7 7 5 1 -4 -7 -5 -1 3 4 5 6 7 7 7 6 6 5 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 10 10 11 11 11 10 9 8 7 7 8 8 9 10 10 11 11 11 11 10 10 10 10 10 11 nan
nan 10 10 9 8 8 8 8 8 8 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 8 8 8 8 9 10 9 7 6 5 5 6 7 8 8 8 8 8 7 7 7 6 6 6 6 7 8 8 4 -3 -8 -7 -2 2 4 4 5 6 7 7 6 5 5 6 6 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 9 9 8 8 8 8 8 9 9 10 11 11 11 10 9 8 7 6 6 6 5 6 7 8 9 10 10 9 9 9 8 8 9 nan
nan 10 10 9 8 8 8 8 8 8 7 7 6 6 6 6 7 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 8 8 8 8 8 8 8 8 7 7 6 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 6 6 6 7 8 8 8 8 8 8 8 8 7 6 6 6 6 8 8 8 5 -1 -6 -6 -3 1 3 4 5 6 7 6 5 5 5 6 6 7 7 7 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 9 10 10 10 9 8 7 7 6 6 5 4 3 3 4 6 7 8 8 8 8 7 6 7 nan
nan 10 10 10 9 9 9 9 8 8 7 6 6 5 5 7 9 9 8 8 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 6 6 7 7 8 8 8 8 8 7 6 7 7 8 9 8 8 7 7 7 7 8 9 9 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 8 8 8 8 8 9 8 8 7 7 6 6 6 7 8 8 6 3 -2 -4 -2 1 3 4 5 6 6 6 4 4 4 5 6 7 7 7 7 7 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 9 9 9 9 9 9 8 8 7 7 7 7 7 7 8 9 9 8 7 6 6 6 6 6 5 4 3 2 3 4 5 6 7 7 7 7 6 nan
nan 9 10 10 10 9 9 8 8 7 7 6 5 5 6 7 10 11 10 8 8 7 7 7 7 7 8 8 9 9 8 7 7 7 7 8 8 8 8 8 7 7 6 6 6 6 7 8 8 8 8 7 7 7 8 8 9 8 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 7 6 5 5 6 6 7 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 7 6 5 2 1 1 2 2 4 6 7 7 5 3 3 4 5 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 9 9 9 9 9 9 9 9 8 8 7 6 6 5 5 5 6 7 7 6 5 4 4 5 6 7 7 6 5 3 3 2 2 3 4 5 7 7 7 nan
nan 10 10 10 9 8 8 8 7 7 6 6 6 6 7 9 11 11 10 9 8 8 7 7 7 7 8 9 9 9 9 8 7 7 7 8 8 8 8 8 8 7 6 5 5 5 6 7 8 8 8 7 7 7 8 8 8 7 7 7 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 7 5 5 5 6 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 8 7 6 6 5 4 4 3 3 5 9 10 7 4 2 1 2 4 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 8 8 8 7 7 6 5 5 4 4 5 6 6 5 4 3 3 4 5 7 8 8 7 6 5 4 3 2 2 3 4 6 7 nan
nan 10 10 9 9 8 8 7 7 7 7 7 7 8 8 10 11 10 9 8 8 8 8 8 7 7 8 8 9 10 10 9 8 7 8 8 8 9 9 8 8 7 6 5 5 5 5 6 7 7 7 7 7 8 8 8 8 7 7 7 7 8 9 9 9 9 9 9 8 8 8 8 8 8 8 7 5 4 5 6 8 8 8 8 8 8 7 7 8 8 7 7 7 8 8 9 9 7 6 6 6 6 6 5 5 8 11 11 7 3 -0 -1 1 4 5 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 7 7 6 6 5 5 4 5 5 5 5 5 4 3 3 4 5 7 7 8 8 7 6 5 3 2 2 2 4 5 nan
nan 9 9 9 9 9 8 7 7 7 7 8 8 8 8 9 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 8 7 7 6 5 5 6 6 7 7 7 8 8 9 9 9 8 8 8 8 8 9 9 10 9 9 9 8 8 8 8 8 8 8 8 6 3 4 5 7 8 9 9 9 9 8 7 7 7 7 7 7 7 8 8 9 8 7 6 6 7 7 7 7 7 8 10 9 6 2 -2 -3 1 3 4 5 5 6 7 7 8 8 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 6 6 6 6 6 5 5 6 6 6 5 5 4 4 4 4 5 6 7 8 8 8 7 5 4 3 3 3 4 nan
nan 8 8 9 8 8 7 7 7 7 7 8 7 7 8 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 9 9 8 8 8 7 6 6 6 7 7 8 9 9 9 9 9 9 8 8 9 9 10 10 9 9 8 8 8 8 8 8 8 8 8 7 4 3 4 6 8 8 9 9 9 9 8 8 8 7 7 7 7 7 8 9 8 8 7 6 6 7 7 7 7 7 7 8 8 6 3 -1 -1 1 3 3 4 5 6 7 7 8 8 7 7 7 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 7 8 8 8 7 5 4 4 4 4 nan
nan 8 8 8 8 8 7 7 7 7 7 7 7 8 9 10 10 9 9 9 8 8 8 8 8 8 8 8 7 8 8 9 9 9 9 8 8 8 9 10 10 10 10 10 8 7 6 6 7 8 9 10 10 10 9 9 8 8 9 10 10 10 10 9 8 7 6 7 7 7 7 8 8 8 6 4 3 5 7 8 9 9 9 9 8 8 8 8 7 7 7 8 8 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 5 3 3 3 3 3 3 4 5 7 7 8 8 7 7 7 6 6 6 6 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 8 7 6 6 5 5 4 nan
nan 8 9 9 9 9 8 8 7 7 6 7 7 9 9 9 9 9 8 8 8 7 7 7 8 7 7 7 7 8 8 8 9 9 9 9 7 7 8 9 10 11 11 10 8 7 6 6 7 9 10 10 10 9 9 8 8 9 10 11 11 11 10 9 8 7 7 6 6 6 7 8 9 7 5 3 4 5 8 9 9 9 8 8 8 8 7 7 7 7 8 8 9 9 8 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 6 4 3 3 4 5 6 7 8 8 8 7 7 6 6 6 7 7 7 8 8 8 8 9 9 9 9 9 9 10 9 9 9 9 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 nan
nan 9 10 10 10 9 9 8 7 7 7 8 8 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 9 10 10 9 8 6 6 7 9 10 10 9 8 7 6 7 8 9 10 10 9 9 9 8 9 10 11 11 11 11 11 11 10 8 8 7 7 7 8 9 10 7 4 3 4 7 9 10 10 9 8 8 8 8 7 7 7 8 8 9 9 9 8 7 6 7 7 8 8 8 7 7 7 7 7 7 7 8 9 8 7 6 5 4 4 5 6 7 8 9 9 8 7 7 6 6 7 7 8 8 8 9 9 9 9 9 9 10 10 10 9 9 9 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 7 7 7 8 7 7 7 7 7 7 7 7 6 6 nan
nan 9 10 10 10 9 9 8 8 7 8 8 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 11 11 9 7 6 6 7 8 9 9 7 7 7 7 9 10 10 9 8 8 8 8 9 10 11 12 12 12 11 11 10 9 8 8 8 8 9 10 9 6 4 4 5 8 9 10 9 9 8 8 7 7 7 7 7 8 8 9 9 9 8 7 6 7 7 8 8 8 7 7 7 7 7 7 7 8 8 8 7 7 7 5 4 4 6 8 10 12 11 9 8 6 6 6 7 8 8 8 9 9 9 9 9 9 9 10 10 9 9 9 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 7 7 8 8 8 8 8 8 7 7 7 7 nan
nan 10 10 10 10 10 10 9 8 8 8 9 9 8 8 8 8 8 7 7 7 6 6 7 7 7 7 7 7 7 8 9 9 10 11 11 10 9 7 7 7 7 8 8 7 6 6 7 8 10 10 9 8 7 7 8 9 10 11 12 12 11 11 10 9 9 9 9 9 9 9 8 6 5 5 5 7 9 10 10 9 8 7 7 7 7 7 7 7 8 8 9 8 8 8 7 7 8 8 8 8 8 7 7 7 7 7 7 7 8 8 7 7 7 7 7 6 6 7 10 14 15 13 10 7 4 4 6 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 nan
nan 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 8 7 6 6 6 6 6 7 7 7 7 7 8 8 8 9 10 11 11 11 10 9 8 8 8 8 8 7 6 6 7 8 9 9 9 8 7 7 8 9 10 11 11 11 10 9 9 9 10 10 11 10 9 7 4 3 3 5 6 8 10 11 9 8 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 7 7 7 7 8 7 7 8 8 7 7 7 6 7 7 7 8 9 11 14 14 12 6 1 -1 2 6 8 9 9 9 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 nan
nan 10 10 10 10 10 9 9 9 9 8 8 8 7 8 9 9 9 8 7 6 6 6 6 6 7 7 7 7 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 8 7 7 7 8 8 8 8 8 8 9 9 10 11 11 10 9 8 8 9 10 11 12 12 11 9 5 1 1 2 5 8 10 11 10 9 8 7 7 7 7 8 8 8 9 9 8 7 7 7 7 8 8 9 9 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 8 9 10 9 4 -3 -9 -5 2 6 8 9 9 8 8 8 8 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 nan
nan 10 10 10 10 10 9 9 9 9 9 8 7 8 8 8 9 9 9 8 8 6 6 6 6 6 7 7 7 8 8 8 8 8 9 9 9 10 10 10 11 11 10 10 9 8 8 8 7 7 8 8 9 9 10 10 11 10 10 8 7 7 8 9 10 12 13 13 11 7 2 -0 -0 3 7 10 11 11 9 8 7 7 7 7 7 8 9 9 10 9 7 7 7 7 7 7 8 9 8 8 8 8 8 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 4 -3 -11 -12 -4 3 8 9 9 9 8 8 8 8 9 9 9 9 9 9 8 8 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 nan
nan 9 9 9 9 9 9 9 9 9 9 8 7 8 8 8 8 9 9 10 9 7 7 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 9 9 10 11 11 10 10 9 9 8 7 7 8 8 8 8 10 11 11 10 9 8 7 8 8 9 10 11 12 11 7 3 -0 -1 2 6 10 12 11 9 7 6 6 7 7 7 7 8 9 10 10 9 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 8 7 7 7 7 7 6 6 6 6 7 5 1 -6 -11 -6 2 8 10 10 9 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 nan
nan 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 10 10 9 8 7 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 9 10 10 10 10 10 10 9 9 8 7 8 8 7 7 8 9 10 10 10 9 9 9 9 9 9 9 9 7 3 -0 -1 1 6 11 14 14 11 8 6 5 6 7 7 7 7 8 9 10 10 9 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 7 6 6 6 6 6 6 4 -1 -6 -5 3 10 14 13 11 9 9 8 9 9 9 9 9 9 8 8 8 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 nan
nan 10 9 8 8 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 8 7 7 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 10 10 9 9 8 7 7 7 7 7 8 9 11 11 11 10 9 8 8 8 8 7 5 2 0 2 6 11 15 17 15 11 7 6 5 6 7 7 7 8 8 9 9 9 9 9 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 7 6 6 5 5 5 4 1 1 6 14 20 19 16 12 10 9 8 8 9 9 9 9 8 8 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 nan
nan 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 8 8 7 7 7 8 8 9 8 7 7 7 7 8 8 8 9 10 10 9 8 7 6 7 7 7 7 8 9 10 11 10 10 9 8 7 7 6 5 3 3 5 10 13 15 15 12 9 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 7 7 7 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 8 8 7 6 5 5 6 6 7 10 15 21 21 18 15 13 11 9 7 7 8 8 9 8 8 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 nan
nan 8 8 8 8 8 8 9 9 9 9 8 8 9 9 9 8 8 8 9 9 8 8 7 7 7 7 7 7 8 8 7 7 7 7 8 9 8 7 6 7 7 7 7 8 9 10 11 10 9 7 7 8 9 7 6 6 7 8 8 9 10 9 8 7 7 6 5 4 6 8 11 13 13 10 8 6 7 8 10 10 9 8 7 8 8 8 7 7 8 8 7 6 6 7 8 8 8 8 9 10 10 9 9 8 8 8 8 8 8 9 9 9 9 8 7 6 5 5 6 8 10 12 15 16 14 13 12 11 9 6 5 5 7 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 nan
nan 8 8 8 8 8 8 9 9 9 9 8 8 9 9 9 9 8 8 9 8 8 8 8 7 7 7 6 7 7 8 8 7 7 7 8 8 8 7 7 7 7 7 6 7 9 10 10 10 9 8 9 11 11 9 7 6 4 4 6 7 8 8 8 7 6 6 5 5 7 10 11 10 9 7 5 6 9 10 10 10 9 8 7 8 8 8 8 7 8 8 7 6 6 7 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 8 8 7 6 5 6 7 8 9 10 9 8 8 8 7 5 3 1 3 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 nan
nan 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 8 8 8 8 8 8 8 7 7 6 7 7 8 8 8 8 8 8 8 8 7 7 8 9 8 7 7 8 8 9 9 9 10 11 12 12 11 9 6 3 2 4 6 7 7 7 7 6 6 6 6 8 10 10 9 7 6 7 9 11 11 10 10 9 8 8 8 8 8 8 8 8 7 6 6 6 7 8 8 8 9 9 9 8 9 9 8 9 9 9 9 9 10 10 9 9 8 8 7 7 6 6 7 8 8 8 6 5 3 2 1 -1 -4 -3 2 5 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 8 9 9 8 8 8 8 8 8 9 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 8 7 8 9 9 9 7 7 7 7 8 9 10 11 12 12 11 10 7 4 4 6 8 9 9 8 7 7 7 6 7 8 9 9 9 8 7 8 10 10 10 10 10 9 8 7 8 8 8 8 8 7 6 6 6 7 7 8 8 9 9 8 8 8 8 8 9 9 9 9 10 10 10 9 9 8 8 8 8 7 6 7 7 8 8 6 3 -0 -4 -6 -8 -10 -10 -4 2 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 8 8 8 8 8 nan
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nan 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 9 9 9 9 9 9 10 10 11 11 11 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 6 6 6 7 7 7 7 8 8 7 7 6 5 5 4 5 5 6 8 9 9 9 9 9 8 8 8 9 10 11 12 11 10 10 9 8 9 10 11 11 11 11 11 10 10 9 10 10 11 11 10 10 9 9 10 12 13 14 14 14 13 12 11 11 10 10 9 10 10 11 11 12 12 12 11 10 9 10 13 17 20 23 25 25 25 24 22 20 19 19 17 15 14 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 nan
nan 10 10 9 9 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 9 8 7 6 6 6 6 6 7 7 8 8 8 7 6 5 4 4 3 3 3 4 6 6 7 7 7 7 6 5 5 6 7 9 9 9 9 8 8 9 11 13 13 12 11 11 11 10 10 10 10 9 9 9 9 8 8 9 11 12 12 12 12 12 13 13 12 12 12 11 10 9 9 10 11 12 12 11 11 11 13 16 22 25 27 28 29 29 30 31 32 31 30 28 25 21 17 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 11 10 10 10 nan
nan 10 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 9 8 7 7 6 6 6 7 8 8 8 9 8 7 6 5 4 3 3 3 3 4 5 4 4 4 5 4 4 4 5 8 9 9 8 7 6 7 8 11 13 14 13 12 11 11 11 11 10 10 9 9 9 9 9 9 10 11 12 12 11 10 9 10 10 11 12 13 13 13 11 10 10 10 10 10 10 9 10 10 12 14 18 20 21 19 17 17 18 22 26 29 30 29 26 21 18 16 15 15 14 13 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 11 11 11 10 10 9 8 8 8 7 7 7 7 8 8 9 9 8 6 5 5 4 4 3 3 4 5 6 6 5 5 5 4 4 6 8 11 13 13 11 9 7 6 8 10 12 13 13 12 12 12 12 11 11 11 10 10 10 10 11 11 12 13 14 14 12 10 9 9 9 9 10 11 11 12 12 11 11 11 10 9 8 8 9 9 10 11 11 12 12 12 10 7 5 3 4 6 10 12 14 12 11 13 17 19 17 14 13 12 12 12 12 11 11 11 11 11 10 10 10 10 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 9 9 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 7 8 9 10 10 9 7 5 4 5 5 5 4 5 7 8 9 9 10 9 8 7 7 9 12 14 15 13 11 9 9 10 11 12 12 12 12 12 12 12 11 10 10 10 11 11 12 12 12 13 15 16 16 13 9 8 8 9 9 9 10 10 9 9 9 9 10 10 10 8 8 8 9 10 11 12 12 11 12 12 12 12 10 6 1 -1 -2 -3 -3 -1 2 8 14 15 13 12 12 12 12 12 12 12 11 11 11 10 10 11 11 11 12 12 12 12 12 12 12 12 nan
nan 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 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 11 10 10 9 9 9 9 8 8 8 8 9 9 10 10 9 6 3 3 4 6 7 6 7 8 9 10 11 12 12 11 9 8 9 11 12 13 13 12 11 12 13 14 14 13 12 12 12 12 11 10 9 9 9 10 11 12 13 13 12 13 13 13 12 9 8 7 8 9 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 11 12 13 13 13 15 18 20 22 21 17 12 9 6 4 6 10 13 14 12 12 14 15 15 14 14 13 13 12 12 12 12 13 15 15 15 14 14 14 13 13 13 12 12 nan
nan 8 8 8 8 8 9 9 10 10 10 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 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 8 7 5 3 1 0 2 5 7 7 7 8 9 10 10 11 11 10 8 7 8 9 11 12 12 12 12 12 14 15 15 14 12 11 11 11 11 10 10 9 9 10 11 12 13 12 11 10 10 9 8 8 7 7 8 9 9 9 8 9 9 8 8 8 8 9 9 10 10 9 9 8 8 9 11 12 13 14 16 18 20 23 26 28 28 27 25 25 27 29 28 25 22 23 23 24 22 20 19 17 15 14 14 15 18 22 24 23 20 16 15 15 14 13 12 12 12 nan
nan 8 8 8 8 8 9 9 9 10 10 10 11 11 11 10 10 10 10 10 9 10 10 10 11 11 12 11 11 10 11 11 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 8 6 5 2 -2 -4 -5 -5 -4 -1 1 3 5 6 8 10 11 10 10 10 8 6 6 7 9 11 13 14 13 12 12 12 13 13 13 12 11 11 11 11 11 10 10 10 11 11 11 11 11 10 8 7 7 6 6 6 6 6 7 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 10 12 13 14 14 14 15 18 21 25 28 29 29 31 32 34 33 31 31 31 31 31 31 29 27 24 22 20 20 21 24 28 28 25 20 17 15 14 13 13 13 12 12 nan
nan 9 8 8 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 11 9 8 6 7 9 12 12 13 13 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 9 6 2 -1 -5 -9 -12 -13 -11 -8 -5 -3 -2 -0 2 5 8 11 11 10 9 8 7 6 7 9 12 14 15 15 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 9 8 7 6 6 6 6 6 6 7 7 8 9 9 9 9 10 9 10 10 10 10 11 11 10 11 11 12 12 12 12 12 12 13 14 14 13 13 14 14 16 18 19 20 21 21 21 21 21 23 24 26 28 29 31 30 29 29 30 29 27 25 23 20 19 18 18 17 16 15 15 14 13 13 nan
nan 9 9 10 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 10 9 6 2 -1 -1 4 9 12 13 14 14 14 13 12 11 11 11 10 10 10 10 9 9 10 10 10 10 11 10 10 11 11 11 11 11 10 10 11 9 4 -1 -6 -8 -10 -11 -10 -8 -5 -2 -1 -1 -2 -0 2 5 7 9 7 6 6 5 6 6 8 11 13 14 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 8 7 6 5 5 5 5 6 6 7 7 8 9 10 9 9 10 10 10 10 10 10 11 11 10 10 10 11 12 13 14 14 14 14 14 14 14 13 13 12 11 11 10 10 10 10 10 9 10 11 12 14 16 17 19 21 23 27 30 33 33 30 25 21 18 19 23 25 25 23 21 17 15 13 13 nan
nan 10 10 10 10 10 10 9 9 8 8 8 8 9 10 10 10 10 11 11 11 11 10 9 5 -1 -6 -8 -4 4 10 12 14 16 16 15 13 13 12 12 11 10 10 10 10 10 9 9 10 10 10 10 10 11 11 11 11 11 10 10 10 9 5 -1 -5 -7 -7 -5 -4 -2 0 3 4 4 4 4 5 5 6 5 3 -1 -2 -1 0 3 6 9 11 11 10 9 9 9 9 10 11 12 11 11 11 11 11 11 11 11 10 9 9 8 7 7 6 5 5 4 5 6 6 6 6 7 9 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 14 15 15 15 15 14 13 12 11 10 9 8 8 7 6 7 7 7 8 9 9 10 10 11 11 13 15 19 22 25 26 27 27 25 23 22 23 23 23 21 18 14 12 11 10 nan
nan 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 10 10 11 10 10 10 9 7 1 -6 -10 -8 -1 6 10 12 14 17 17 15 14 14 13 12 11 11 11 11 10 10 10 10 10 9 10 10 11 12 12 12 11 11 11 11 10 8 4 1 -1 -0 2 4 5 5 6 6 6 6 7 7 8 7 6 4 -1 -6 -7 -6 -4 -1 4 6 7 7 6 6 6 6 7 9 10 10 10 10 10 11 11 11 11 10 9 8 8 7 6 5 4 4 4 5 6 7 7 6 7 9 10 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 13 14 15 16 15 13 11 10 9 8 7 7 6 6 7 8 8 8 9 9 10 10 10 10 10 10 12 13 15 16 17 20 22 22 19 13 8 5 4 5 5 6 7 8 8 nan
nan 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 10 10 9 9 9 8 4 -3 -9 -8 -3 3 7 9 11 13 16 17 17 17 17 15 12 11 11 11 11 11 11 11 10 10 9 9 10 11 11 11 11 11 11 11 11 10 8 7 7 8 11 13 14 14 14 12 9 7 6 6 7 8 7 7 5 2 -1 -2 -2 -2 -1 1 1 1 2 4 6 7 7 7 8 7 7 7 8 9 10 10 11 10 9 8 7 7 6 4 2 1 2 4 6 8 9 9 10 11 13 12 10 8 8 9 10 10 10 10 10 10 10 10 10 10 10 9 9 10 11 12 13 14 13 11 10 9 8 6 6 6 6 7 8 9 10 10 10 10 10 10 10 11 11 11 12 12 12 12 13 13 14 13 8 2 -4 -7 -6 -4 -1 2 4 6 8 nan
nan 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 8 8 7 2 -6 -8 -5 0 5 8 9 10 11 14 17 21 23 21 16 12 12 12 12 12 11 11 11 11 10 9 9 9 10 10 9 10 10 11 11 11 10 10 11 13 15 18 19 20 20 19 16 11 8 6 6 6 7 7 7 6 5 5 6 6 5 3 1 -0 -1 1 4 6 7 8 7 7 5 5 6 7 8 9 10 10 9 8 7 7 6 4 3 3 4 5 7 8 10 11 12 13 14 14 12 9 8 8 9 9 10 10 10 10 10 10 10 9 9 9 8 8 9 9 9 10 11 10 9 9 9 8 7 6 6 6 8 9 10 11 12 11 11 11 11 11 11 11 12 12 12 11 11 11 10 9 6 2 -1 -2 -2 -1 0 2 4 6 7 8 nan
nan 10 10 9 8 8 8 9 9 10 10 10 9 9 9 9 9 9 8 8 8 8 5 -1 -7 -7 -3 2 6 9 10 10 10 12 17 23 26 24 17 13 12 12 12 11 11 10 10 10 10 9 9 9 9 8 8 9 10 11 11 10 10 11 12 13 15 16 17 16 15 13 11 9 9 9 9 9 8 7 7 7 7 8 9 9 9 8 6 5 5 5 4 3 1 2 4 5 6 7 8 8 9 9 10 9 8 7 7 6 5 5 6 8 10 12 12 11 11 12 13 14 13 12 11 9 9 9 9 9 9 8 9 9 9 9 8 7 7 7 7 8 8 7 8 8 8 8 9 10 9 8 8 8 7 8 9 10 11 12 13 13 12 12 12 11 11 11 11 12 11 10 9 8 6 3 -1 -3 -2 0 3 5 5 6 7 8 9 9 nan
nan 10 9 9 8 8 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 4 -4 -8 -6 -2 3 7 9 10 10 10 12 16 22 26 25 19 15 13 12 11 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 12 11 9 5 1 -0 2 5 10 13 13 12 11 10 9 8 9 9 10 10 11 10 10 10 10 9 6 3 1 -0 2 4 6 8 9 10 10 10 9 8 7 7 6 6 7 9 11 12 13 13 11 11 11 12 12 11 10 10 10 10 10 10 10 9 7 7 7 7 7 6 5 5 5 6 6 7 7 7 7 8 7 8 8 9 8 9 9 9 9 11 11 11 12 13 13 13 12 12 12 11 11 11 11 11 10 10 8 6 1 -4 -6 -5 -2 2 5 6 7 8 9 9 10 10 nan
nan 10 9 8 8 9 9 10 10 10 10 10 10 9 9 8 9 9 9 9 9 8 1 -5 -7 -5 -1 4 7 9 9 10 10 10 14 20 25 25 21 17 13 11 10 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 9 10 10 7 2 -5 -8 -6 -0 6 13 14 14 14 14 13 12 11 11 11 11 11 12 12 13 13 14 13 12 11 9 8 7 7 7 8 8 9 9 9 7 5 5 5 6 7 8 10 10 10 8 7 7 8 10 10 9 8 8 9 9 9 10 10 10 8 7 7 8 8 7 6 6 7 8 8 7 7 7 8 8 8 7 7 7 7 7 9 10 10 11 12 11 12 13 13 13 12 12 11 11 11 10 10 11 10 11 11 10 7 2 -1 -1 1 4 6 8 8 9 10 10 10 11 11 nan
nan 9 8 8 9 9 9 10 10 10 10 10 10 9 8 8 9 9 9 10 10 7 1 -4 -6 -4 -1 4 7 9 9 10 10 10 13 18 22 25 22 18 14 11 10 9 10 10 11 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 6 0 -4 -2 3 9 15 17 15 14 14 15 15 14 14 14 14 15 16 17 18 19 20 21 21 20 19 17 15 13 11 9 8 7 7 7 6 6 5 5 6 6 6 6 6 6 5 5 5 7 10 11 10 9 8 8 7 7 6 7 8 8 8 10 12 12 11 9 8 9 11 12 11 10 9 9 8 8 7 7 7 7 7 8 10 11 11 12 12 11 12 12 12 12 12 11 10 10 10 10 10 10 11 11 12 12 12 11 12 13 13 13 12 11 11 11 11 11 11 11 11 nan
nan 8 8 9 9 10 10 10 10 9 9 9 9 8 8 8 8 9 9 10 10 7 3 -2 -4 -3 0 4 7 8 9 9 10 10 12 15 19 24 23 19 15 12 10 9 9 10 11 11 11 11 11 10 10 10 9 9 8 7 7 7 7 8 8 9 8 6 5 6 11 16 20 21 17 14 12 12 12 13 15 17 18 19 21 24 25 26 28 29 29 27 24 20 18 16 15 13 11 9 7 6 5 5 7 8 9 8 7 7 7 7 7 7 9 11 14 15 14 12 10 9 9 8 7 6 6 6 8 11 14 15 13 10 8 8 9 10 10 10 10 9 7 6 5 5 6 7 8 9 11 12 12 12 12 11 11 11 11 12 12 12 11 11 10 9 9 10 10 11 11 12 13 16 20 23 22 19 16 13 12 11 11 10 10 10 10 11 nan
nan 9 9 9 10 10 11 10 10 9 9 9 9 9 8 8 8 9 9 10 10 8 5 -1 -4 -3 -0 4 7 8 9 9 10 10 10 13 17 23 24 21 17 12 9 9 9 10 11 11 11 11 10 9 9 8 8 8 8 7 7 7 7 7 8 8 8 8 9 12 16 18 18 16 13 10 9 9 9 10 13 15 17 20 24 27 29 30 31 31 29 26 22 19 18 17 16 15 14 13 11 9 8 9 11 12 13 12 11 10 10 10 11 12 14 16 16 15 13 11 10 9 9 9 8 8 8 9 11 14 14 12 9 6 6 7 7 7 7 8 7 6 5 4 5 7 9 10 10 12 13 13 13 12 12 11 11 11 11 11 12 12 11 11 10 10 10 10 10 11 12 12 13 16 19 19 17 14 11 10 10 10 10 9 9 10 10 10 nan
nan 9 9 10 10 10 10 10 10 9 9 9 9 9 9 8 8 9 9 10 10 9 4 -2 -5 -4 -1 4 6 8 9 9 9 10 10 11 17 25 27 24 19 12 10 10 10 10 11 11 11 10 9 7 7 8 8 8 7 7 7 7 7 7 8 8 8 9 10 11 12 11 10 8 7 6 6 7 7 8 9 11 13 17 21 23 24 24 24 23 21 20 19 19 19 18 19 20 20 19 18 18 19 20 20 18 15 13 12 11 11 12 13 13 14 13 12 9 7 7 7 8 8 9 10 10 10 11 12 12 10 6 4 5 7 8 8 8 7 7 6 5 6 7 9 11 12 13 14 14 14 14 13 12 11 11 10 10 10 11 11 11 11 10 10 10 10 10 10 11 12 13 13 14 13 10 8 7 6 8 9 9 9 9 9 10 10 10 nan
nan 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 8 8 9 10 10 8 2 -3 -4 -4 -0 3 6 8 9 9 9 9 10 12 20 28 29 26 18 11 10 10 11 11 11 11 10 10 9 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 4 2 1 2 3 5 6 7 9 10 13 15 17 18 18 17 17 16 15 15 15 15 16 17 19 21 22 22 22 24 26 26 23 19 15 12 11 11 11 12 13 12 11 9 6 4 4 5 7 8 8 9 9 10 10 11 11 9 7 5 6 8 10 10 10 10 10 8 8 9 12 13 14 14 14 14 15 15 14 13 12 11 10 10 9 8 9 10 10 10 11 10 10 10 10 10 10 10 11 12 12 12 10 9 9 8 9 10 10 10 10 10 10 10 10 11 nan
nan 8 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 9 10 10 7 2 -2 -4 -3 -0 3 6 8 9 9 9 9 10 14 23 29 29 24 16 10 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 6 4 -1 -4 -4 -1 2 5 8 9 11 12 14 15 16 16 15 15 14 13 12 11 10 11 12 14 16 17 17 17 18 18 19 18 16 13 11 11 11 11 12 12 11 10 9 7 4 4 5 6 8 8 8 9 9 9 10 12 12 11 9 9 10 12 12 12 12 13 13 13 15 16 18 18 18 16 15 14 14 13 13 12 12 11 10 9 8 8 9 9 10 11 11 11 11 10 10 10 10 11 11 11 11 11 11 14 16 16 16 13 12 12 12 11 11 11 11 11 nan
nan 9 9 9 10 10 9 8 8 9 10 10 10 10 10 9 9 8 9 9 9 5 0 -3 -5 -4 -0 3 6 7 9 9 9 10 12 18 27 30 28 21 13 11 11 11 10 9 9 9 9 10 10 10 10 9 8 8 8 8 9 8 8 8 8 8 8 8 7 6 5 2 -4 -6 -4 -1 4 7 9 11 13 14 15 16 15 15 14 13 12 11 10 9 9 10 11 13 12 10 8 6 5 6 7 7 7 8 8 9 10 10 11 10 9 7 5 3 1 1 3 4 6 6 7 8 9 10 12 14 15 15 15 15 16 15 15 15 15 16 16 17 18 18 18 17 17 16 15 13 12 12 12 13 12 11 10 9 8 9 9 10 10 11 11 11 10 10 10 11 11 11 11 11 11 11 13 17 19 21 19 16 14 14 13 13 12 12 12 12 nan
nan 10 10 10 10 10 9 8 9 9 10 10 10 10 10 10 9 8 8 9 8 4 -1 -4 -5 -3 1 3 5 7 9 9 10 11 15 23 30 30 24 17 12 12 12 11 9 8 7 8 9 10 11 11 10 8 7 7 8 9 9 9 9 8 8 8 7 6 5 5 4 -1 -5 -5 -2 2 6 8 10 13 15 16 16 16 15 14 13 11 9 8 9 10 10 12 13 12 7 2 -2 -5 -5 -2 -0 1 3 3 4 5 6 7 7 6 3 -0 -3 -6 -7 -6 -3 -2 -1 0 3 6 9 11 14 16 17 17 18 18 18 18 17 17 17 17 17 16 15 14 13 13 13 13 12 12 11 12 12 13 12 11 10 10 9 10 10 10 11 11 10 10 10 10 10 11 11 11 12 11 11 11 13 15 18 20 21 18 17 15 14 14 13 13 12 12 nan
nan 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 8 8 8 9 8 5 2 -1 -2 -1 1 3 5 7 8 9 10 13 19 27 29 25 19 13 11 11 11 11 9 8 8 8 9 10 11 11 10 8 8 8 9 10 10 10 9 8 7 6 5 4 5 5 4 -2 -4 -2 1 5 8 11 14 17 18 18 17 16 14 12 11 9 9 9 10 11 12 13 13 9 4 -0 -3 -3 -0 1 1 2 2 1 -0 -0 1 1 -0 -3 -5 -8 -9 -9 -8 -6 -4 -5 -5 -4 -1 2 6 9 11 13 15 16 17 17 17 16 16 16 16 16 14 12 11 10 9 10 10 10 11 11 11 11 12 13 12 11 11 10 11 11 10 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 12 12 16 19 21 20 19 17 15 15 14 13 13 13 nan
nan 9 9 9 10 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 7 4 2 -0 -0 1 2 4 6 9 9 11 14 21 27 27 21 15 11 10 10 11 11 9 9 9 9 10 11 12 11 10 9 9 10 11 11 10 8 7 5 3 3 4 5 7 8 4 -1 -3 -1 2 7 10 14 17 21 22 19 17 15 12 10 9 9 10 11 12 13 13 14 13 10 8 8 8 10 10 9 8 7 5 4 2 2 1 -0 -2 -5 -6 -5 -3 -1 2 3 3 2 1 1 1 3 3 3 3 6 11 14 15 14 12 12 12 12 12 12 11 10 9 9 9 9 10 10 10 10 10 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 12 15 18 20 21 21 18 16 16 15 14 14 14 nan
nan 9 10 10 10 10 10 10 10 9 10 11 11 10 9 9 8 8 8 8 8 8 6 3 0 -0 0 1 3 6 9 10 11 14 22 27 24 19 14 10 9 10 11 11 9 9 9 10 11 12 11 11 10 10 11 12 11 8 4 1 -1 -1 0 3 5 7 9 9 4 -1 -3 -1 4 9 11 14 19 24 25 21 17 13 10 9 9 10 11 12 12 12 12 12 12 12 14 15 17 17 16 15 14 13 11 10 8 7 6 5 3 2 3 5 7 9 10 10 10 10 10 9 9 6 4 2 3 8 14 16 14 11 10 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 11 12 13 13 13 12 12 12 11 11 11 11 12 12 12 12 12 11 12 12 12 12 12 12 12 12 14 16 18 21 22 20 18 17 16 16 16 15 nan
nan 10 10 10 10 10 10 10 10 10 11 11 11 10 9 9 9 8 8 8 9 8 6 4 1 -1 -1 1 3 6 8 9 11 14 21 25 23 18 13 10 9 10 10 9 9 9 9 10 11 11 10 10 10 10 11 11 9 4 -3 -6 -6 -3 1 6 8 10 11 8 2 -3 -4 -0 6 9 12 15 22 27 26 21 16 12 10 10 11 11 11 11 11 11 11 11 12 13 15 15 16 17 18 17 17 16 14 13 11 11 11 11 10 10 11 11 12 12 13 13 14 15 15 14 13 10 8 8 12 17 19 17 12 9 8 8 8 10 10 10 10 9 9 9 9 9 9 9 9 9 10 11 12 13 14 15 14 13 12 12 11 10 10 11 12 12 12 12 12 12 12 13 13 13 13 13 13 14 14 14 17 20 22 22 22 21 21 21 19 18 nan
nan 10 10 10 10 10 10 10 10 10 11 12 11 11 10 9 9 9 8 8 9 8 7 5 2 -0 -1 0 2 5 8 9 10 14 20 22 21 18 13 10 9 9 8 8 8 8 9 10 11 11 11 10 10 11 11 11 8 2 -3 -5 -4 -0 5 9 10 11 10 5 -1 -5 -4 2 7 10 12 16 23 27 24 19 14 11 11 11 12 11 11 11 11 11 10 11 12 13 13 13 13 15 16 16 16 16 16 15 15 16 16 16 16 15 14 14 15 15 17 19 21 22 21 17 14 12 11 13 17 18 18 14 10 8 7 7 9 10 11 11 10 9 9 10 10 9 9 10 10 10 10 12 13 14 15 15 13 12 11 11 10 10 10 11 11 11 11 11 12 12 12 13 13 13 13 14 14 14 14 14 16 18 21 24 27 29 29 27 25 23 nan
nan 10 9 9 9 9 9 10 10 11 11 11 11 11 11 10 9 9 9 9 8 8 8 6 3 0 -1 -0 2 5 8 9 10 13 18 20 22 20 15 11 9 9 8 8 8 9 10 12 13 12 12 12 12 13 13 12 11 7 4 2 2 3 7 9 8 7 4 -1 -6 -6 -2 5 9 11 12 17 22 24 21 17 13 11 12 12 11 11 10 11 11 11 11 12 13 14 13 12 12 11 12 12 13 14 14 16 18 20 20 20 19 18 19 19 21 23 26 27 28 27 23 18 14 12 12 14 17 19 19 15 12 10 9 10 11 12 12 11 10 10 10 10 10 10 10 9 9 9 11 12 13 14 14 13 12 11 11 10 9 9 10 10 10 10 11 11 11 11 11 12 12 13 13 14 14 14 13 13 14 15 18 23 27 30 30 30 30 31 nan
nan 9 9 8 8 9 10 10 10 10 10 11 12 12 12 10 10 9 9 9 8 8 8 7 4 1 -1 -1 1 4 7 9 10 12 16 20 23 21 16 12 10 9 9 8 8 10 12 14 14 13 12 13 14 14 14 13 13 11 10 7 4 3 5 5 4 1 -2 -6 -6 -3 3 8 11 12 12 16 21 22 20 16 13 12 12 12 11 10 10 10 10 11 12 13 14 14 13 12 10 9 8 8 9 9 10 13 15 17 18 19 19 19 20 22 26 29 29 29 28 25 20 16 14 13 15 18 23 26 25 22 18 15 14 14 14 13 12 10 10 10 10 10 10 10 9 9 9 9 10 11 11 12 11 10 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 13 13 13 13 12 12 12 12 15 17 20 22 23 25 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
115 106 82 53 31 21 15 10 6 6 7 8 8 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 10 14 20 26 30 29 25 28 34 40 47 55 67 79 81 75 70 66 58 48 42 36 29 32 40 39 72 153 254 349 525 676 784 808 818 801 761 736 702 687 703 710 695 666 624 572 534 520 525
130 100 62 31 15 9 6 3 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 6 11 16 23 35 37 33 32 32 32 34 37 38 45 47 49 52 55 55 53 52 48 42 32 26 21 19 26 45 77 159 271 390 536 676 720 725 716 688 663 683 703 698 693 691 648 615 603 599
120 80 38 9 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 10 12 22 28 30 31 33 34 33 32 32 32 32 32 35 40 44 50 53 54 52 48 43 37 29 21 15 18 28 50 71 156 315 416 487 582 649 655 653 663 670 667 689 700 691 681 681
95 63 26 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 6 9 11 13 16 19 23 26 29 30 32 33 33 32 31 30 30 31 34 38 40 41 42 44 46 45 37 31 25 20 17 14 25 65 132 191 289 417 523 594 676 715 726 742 752 748 735 737
72 44 17 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 5 6 8 11 12 13 14 16 19 22 25 28 30 30 29 26 24 23 22 21 21 22 24 27 32 37 38 38 37 34 29 23 22 23 32 48 79 130 233 333 485 618 727 797 818 809 777 773
42 19 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 9 10 11 12 13 14 15 18 20 22 22 22 20 18 16 14 12 10 10 10 11 15 19 23 29 31 35 37 36 33 30 27 27 26 35 72 175 322 486 672 854 875 856 844
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