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 7 7 8 7 7 8 8 8 7 7 7 7 7 7 7 6 6 7 7 7 7 6 6 6 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 6 6 6 6 7 7 7 6 7 7 7 7 8 8 7 7 6 6 6 7 8 8 8 8 9 9 9 8 7 7 8 8 9 9 8 9 9 8 8 7 7 8 9 8 8 6 5 4 5 5 5 5 4 4 4 5 6 7 9 11 12 12 12 11 10 10 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 8 9 11 13 13 14 14 15 14 14 14 14 13 13 12 11 10 9 8 6 6 6 6 6 7 7 6 5 5 4 5 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 8 8 7 7 7 8 8 8 7 6 6 6 6 6 nan
nan 7 7 8 8 8 8 8 8 8 7 7 6 7 7 7 7 6 6 7 7 8 8 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 8 7 7 6 6 6 6 7 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 7 5 4 4 5 6 5 4 4 5 5 6 7 9 11 12 12 12 12 11 10 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 8 10 12 14 15 15 15 15 15 14 14 14 14 14 13 12 11 10 9 9 8 8 7 7 8 8 7 6 5 5 5 5 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 8 7 7 6 7 7 8 8 7 7 6 6 6 6 nan
nan 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 9 9 8 8 8 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 7 7 7 7 6 6 7 7 7 8 9 9 8 8 8 8 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 4 4 5 6 5 5 5 5 5 6 7 9 11 12 13 13 12 11 10 9 9 9 9 9 10 10 10 9 9 8 8 7 7 7 8 9 11 12 13 13 14 13 13 13 13 13 14 14 14 13 12 11 11 11 10 9 9 8 8 8 7 6 6 5 5 5 5 4 4 4 5 5 5 6 6 6 6 5 6 6 6 7 7 7 7 7 7 6 7 7 8 8 7 7 7 6 6 6 nan
nan 8 8 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 9 9 10 10 10 10 10 10 8 8 7 7 7 7 6 7 7 8 8 8 8 9 9 8 8 8 7 8 9 9 8 7 6 5 5 6 7 7 8 8 7 6 6 7 7 6 5 5 5 6 6 5 5 5 5 5 5 7 9 11 12 13 13 12 12 11 10 10 10 9 9 10 11 10 10 10 9 8 8 7 7 8 9 10 10 10 10 11 10 10 10 10 11 12 13 13 13 12 12 12 12 11 11 10 10 9 9 7 6 6 6 5 5 5 4 4 4 5 5 5 6 6 6 5 5 5 6 6 6 7 7 7 7 7 7 7 7 8 8 7 7 7 6 6 6 nan
nan 8 8 8 9 8 8 7 7 8 7 7 7 7 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 9 9 9 9 9 9 9 9 9 8 7 7 7 6 7 7 8 9 8 8 8 8 9 8 8 8 8 7 7 8 8 8 7 6 5 5 6 7 8 9 9 8 7 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 9 11 12 13 14 13 12 12 12 11 10 10 10 11 11 11 10 10 10 9 8 7 7 8 8 9 9 9 8 8 8 8 7 8 9 11 12 13 13 12 12 12 13 13 13 12 12 11 9 8 7 6 6 5 5 5 5 4 4 4 5 5 5 6 6 6 5 5 5 6 6 6 7 7 7 7 7 7 8 8 8 7 7 6 6 6 6 nan
nan 7 7 7 8 8 7 7 8 8 8 8 8 8 9 8 7 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 7 7 8 8 8 7 7 6 6 6 7 8 9 9 9 8 9 9 8 7 8 8 8 7 7 8 8 8 7 6 6 6 6 6 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 10 11 13 14 14 14 14 14 13 12 11 11 11 12 12 11 11 10 10 9 8 8 8 8 9 10 10 9 8 8 7 7 7 8 9 10 11 12 12 12 13 13 13 14 15 14 13 12 10 9 7 6 6 6 6 5 5 4 4 4 4 5 5 5 6 5 5 5 5 5 6 6 7 7 7 7 7 8 8 8 7 7 7 6 6 6 6 nan
nan 7 6 6 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 7 7 7 6 6 6 7 8 8 8 7 6 6 6 7 8 8 8 8 9 9 9 8 8 8 8 8 7 8 9 9 9 9 8 8 7 7 6 6 7 7 7 8 7 7 7 7 7 8 9 9 9 9 10 9 8 7 8 10 12 13 15 16 16 16 17 16 15 13 12 12 12 13 12 11 11 10 10 9 9 8 8 9 10 11 11 10 9 8 8 8 8 9 9 9 9 10 11 11 12 13 14 15 15 15 14 13 11 9 8 7 6 6 6 6 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 8 8 8 7 7 7 6 6 6 6 nan
nan 8 6 6 6 6 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 7 6 5 6 6 7 7 7 8 8 8 8 8 7 7 7 7 7 6 5 6 7 8 8 8 6 6 6 7 8 7 7 7 8 8 9 9 9 9 9 9 8 8 8 9 10 10 10 9 9 8 8 7 6 6 7 8 8 8 7 7 7 7 8 10 11 12 12 11 10 9 9 11 13 16 17 17 18 19 19 19 19 17 15 14 13 13 13 12 12 11 11 11 10 9 9 9 10 11 11 11 11 10 9 9 9 10 10 10 9 8 8 8 9 10 12 13 14 15 15 14 13 11 10 8 7 7 7 7 7 6 5 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 7 7 7 8 8 7 7 7 7 6 6 6 6 nan
nan 9 7 5 5 5 6 7 7 7 6 6 6 6 6 7 8 8 8 7 7 7 7 8 8 7 6 5 4 4 5 6 6 7 7 7 7 6 6 6 7 8 7 6 6 7 8 8 8 8 7 7 8 9 10 9 8 7 7 8 8 9 9 10 10 10 9 8 9 9 10 11 11 10 10 9 8 8 7 7 7 8 9 8 8 7 7 7 8 10 11 12 12 11 10 9 11 13 17 19 20 20 21 21 22 22 21 19 17 16 15 15 14 13 12 12 12 11 11 10 10 10 11 11 12 12 11 11 11 11 12 13 13 12 11 9 7 6 6 8 9 11 13 14 14 14 13 12 10 9 8 7 7 8 8 7 6 5 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 nan
nan 9 8 6 5 5 5 7 7 7 6 5 5 5 6 7 8 8 8 8 7 7 7 8 8 7 6 5 5 4 4 5 6 7 7 7 6 5 4 5 6 7 8 8 7 7 7 7 8 8 8 9 10 11 11 10 8 7 7 7 8 9 10 11 11 10 10 10 9 8 9 10 10 10 10 10 9 9 8 7 7 8 8 8 8 8 7 8 8 9 10 10 10 9 8 9 11 15 19 21 22 22 23 23 23 23 22 21 19 17 16 16 15 14 14 13 13 13 12 12 11 11 11 12 12 12 12 12 13 13 15 16 18 17 15 12 8 6 5 6 7 9 11 13 14 13 13 12 10 9 8 8 8 9 9 8 7 6 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 nan
nan 8 8 7 6 5 5 7 7 7 6 5 5 6 6 7 8 9 9 9 8 8 8 8 8 7 7 7 7 6 6 6 7 7 7 7 6 6 5 5 6 7 8 7 7 6 6 7 8 8 9 10 11 11 10 9 7 6 6 6 7 9 10 11 10 10 10 10 9 8 8 9 9 9 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 6 6 9 13 17 20 22 22 23 23 23 23 23 22 21 19 18 17 16 15 15 14 14 13 13 12 12 11 12 12 13 13 13 13 14 16 17 20 23 24 22 18 13 9 6 5 6 8 10 11 12 13 13 12 11 10 9 9 9 10 10 9 8 7 5 5 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 nan
nan 7 8 7 7 6 6 6 7 7 6 6 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 6 7 7 8 9 9 9 10 10 10 10 8 7 6 6 6 6 7 9 10 11 10 10 9 9 9 9 8 8 8 8 9 9 10 9 9 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 5 3 3 5 10 15 18 19 20 21 21 22 23 22 22 20 19 18 18 17 16 15 15 14 14 13 13 12 13 13 14 14 14 14 15 17 19 22 26 28 28 23 18 13 9 7 6 7 8 9 11 12 12 12 12 11 11 10 11 11 11 11 10 8 6 6 5 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 nan
nan 7 7 7 7 7 6 6 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 7 7 6 6 6 6 7 8 9 11 11 11 10 10 10 9 8 7 6 6 6 7 7 8 9 10 11 10 9 9 9 9 9 8 8 8 8 8 9 9 10 9 9 8 8 8 8 8 8 8 8 8 9 8 9 9 9 6 2 -2 -3 0 6 11 15 16 17 18 19 19 20 20 20 19 19 19 18 17 16 16 16 15 15 15 15 14 14 14 14 14 15 15 17 20 23 26 29 28 25 21 16 12 10 8 7 7 8 9 10 11 12 12 12 12 12 12 12 12 12 11 9 8 6 5 5 5 5 4 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 nan
nan 6 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 9 8 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 8 8 7 7 6 6 6 7 7 8 9 10 11 11 11 10 9 8 7 7 6 6 7 7 8 8 9 9 9 9 8 8 8 8 8 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 9 9 9 10 10 9 5 -0 -6 -6 -2 4 9 12 13 14 15 15 16 16 17 17 17 17 17 17 17 17 17 18 17 17 17 16 15 14 14 14 14 14 16 18 21 23 25 25 22 20 18 16 14 13 11 9 8 8 9 9 10 11 11 12 12 12 12 13 12 12 10 9 7 6 5 5 5 5 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 6 6 6 7 7 7 7 7 7 7 7 8 8 9 10 10 9 7 7 7 7 7 8 8 7 7 7 6 6 6 6 6 7 7 8 7 6 6 6 7 8 9 9 9 9 9 9 9 9 8 7 6 6 6 7 7 8 8 8 8 7 7 7 6 7 8 7 7 6 7 7 8 8 8 9 9 9 8 8 7 8 8 8 8 8 9 11 12 11 10 9 10 10 10 8 4 -2 -6 -7 -3 3 8 10 10 11 12 12 12 12 13 14 14 15 15 15 15 16 17 17 17 16 16 15 14 13 13 13 13 14 15 17 18 19 19 19 18 18 17 17 17 15 13 10 9 9 9 9 9 9 10 11 11 11 12 12 11 11 10 8 7 6 6 5 5 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 6 5 6 7 7 7 7 7 7 7 8 8 9 9 10 9 8 6 7 7 7 8 8 8 8 7 6 7 7 7 7 6 7 7 8 7 6 7 7 9 10 10 9 8 8 8 8 8 8 7 7 7 6 6 7 7 7 7 7 6 6 6 6 7 8 8 7 7 6 7 8 9 9 8 8 8 8 8 7 8 8 9 9 10 10 11 13 13 12 10 10 10 10 9 9 6 3 -2 -7 -7 -2 3 6 7 7 8 8 9 9 10 11 11 11 11 11 11 11 12 13 13 13 13 13 12 12 11 10 10 11 11 12 13 14 14 15 15 16 17 18 18 17 16 14 12 11 10 9 8 8 8 9 9 10 10 11 11 11 10 9 8 7 6 5 5 5 4 4 5 5 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 nan
nan 6 5 6 7 7 8 8 8 8 8 8 9 9 9 9 8 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 9 10 11 10 9 8 7 7 8 8 7 7 7 7 7 6 6 6 6 7 7 6 5 5 6 7 8 9 8 8 7 7 8 9 9 9 9 9 8 8 7 8 8 8 9 10 10 11 12 13 13 12 10 10 10 10 9 8 7 5 2 -4 -8 -6 -2 2 3 3 4 5 6 7 8 8 9 9 8 8 8 7 8 9 9 9 9 9 9 8 8 8 7 7 7 7 8 8 9 10 11 12 14 15 16 16 16 16 15 14 13 11 10 8 8 7 8 8 9 9 9 10 10 10 10 9 8 7 6 5 5 5 5 5 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 7 nan
nan 7 6 5 6 7 7 8 8 9 8 8 8 9 9 9 7 6 6 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 10 11 12 11 9 8 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 6 6 5 6 7 8 9 8 8 8 7 8 8 8 8 9 9 9 9 8 8 8 8 9 9 10 10 10 10 11 11 10 10 10 10 10 10 9 7 6 3 -1 -6 -9 -6 -3 -1 0 1 2 4 5 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 4 4 5 6 7 8 9 10 11 12 13 14 15 15 14 14 12 11 9 8 8 7 7 8 8 9 10 11 11 11 10 9 8 7 6 5 5 5 6 6 6 5 5 5 6 6 6 6 6 6 6 6 7 7 nan
nan 8 7 6 6 6 7 7 8 9 9 8 8 9 10 9 9 7 7 7 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 10 11 11 10 8 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 6 5 5 6 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 8 8 8 9 10 10 10 9 7 7 8 9 9 9 9 9 9 9 9 8 7 5 2 -3 -8 -9 -7 -5 -4 -3 -2 -1 2 4 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 3 3 2 2 3 3 4 5 5 6 6 7 9 10 12 13 14 14 14 13 11 10 9 8 8 7 8 9 9 11 12 12 12 11 10 8 7 6 6 5 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 7 nan
nan 8 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 7 7 7 8 9 9 9 9 9 9 9 9 9 10 10 11 10 9 8 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 5 5 7 8 8 8 9 9 8 8 8 8 8 9 9 10 11 11 10 9 9 10 11 11 11 8 6 5 7 8 9 10 10 9 9 9 10 9 8 7 5 3 -2 -5 -7 -7 -7 -7 -7 -6 -4 -1 2 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 2 2 2 3 3 4 4 3 3 4 5 6 7 9 10 11 12 13 12 12 11 10 9 8 8 8 9 10 11 12 12 13 12 10 9 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 nan
nan 8 7 6 6 6 6 7 7 7 8 8 8 8 8 7 6 6 6 7 8 9 9 9 9 8 8 8 8 9 9 8 8 8 7 7 7 8 8 9 10 10 10 10 9 9 9 9 8 8 8 8 8 7 7 7 7 7 6 5 6 7 7 8 9 9 9 9 9 9 9 10 9 10 11 12 12 10 9 9 10 12 12 10 8 7 6 7 8 9 10 10 10 9 10 10 9 8 8 8 7 5 2 -1 -3 -4 -5 -7 -9 -8 -6 -1 2 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 2 2 3 4 5 6 7 8 10 11 12 12 12 11 10 9 9 9 9 10 11 12 13 13 12 10 9 8 7 7 6 6 6 6 7 7 6 6 6 6 6 6 6 6 7 nan
nan 9 8 7 6 5 6 7 7 8 9 8 8 7 7 6 5 5 6 7 8 8 8 8 8 7 7 8 8 7 7 6 5 5 6 6 7 8 8 9 10 11 11 10 10 10 10 10 9 9 8 8 8 8 7 7 7 7 6 6 6 6 7 8 8 8 9 9 10 10 10 10 10 10 11 12 11 10 9 10 10 11 10 8 7 7 7 7 7 7 8 9 9 9 10 10 9 8 8 9 9 9 8 7 5 4 3 0 -4 -7 -8 -5 -0 2 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 2 3 3 3 3 4 7 9 11 12 13 13 12 11 10 9 9 9 9 11 12 13 12 11 10 9 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 nan
nan 10 9 8 7 7 7 8 9 9 9 8 8 9 9 8 6 6 7 7 7 7 7 7 7 6 6 7 7 6 5 5 5 5 5 6 7 8 8 8 9 10 10 10 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 6 6 7 8 8 7 7 7 9 10 10 10 10 10 11 11 10 10 10 10 11 11 9 6 5 6 6 6 6 6 7 7 8 9 10 10 10 9 8 9 10 10 9 9 9 9 9 9 7 4 -2 -6 -6 -3 -1 1 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 2 2 2 4 6 9 11 13 13 12 11 11 10 9 8 8 9 10 11 11 11 10 9 9 9 9 9 8 8 7 7 7 6 6 6 6 6 6 6 7 nan
nan 10 9 9 8 8 8 9 10 10 9 9 10 10 9 8 8 7 7 7 7 7 7 7 7 6 6 7 7 7 7 6 6 6 6 6 6 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 8 8 7 6 6 8 9 10 10 10 11 11 10 9 9 10 11 12 11 8 5 5 6 6 6 5 5 6 8 10 10 11 11 10 9 9 9 10 9 8 8 8 9 9 9 8 6 3 -1 -4 -4 -4 -1 1 3 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 3 2 2 2 4 6 9 11 12 12 12 11 11 10 9 8 8 9 10 10 10 9 9 10 10 10 10 9 8 8 7 7 6 6 6 6 6 6 6 7 nan
nan 10 9 9 8 7 7 8 9 10 10 11 11 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 9 10 10 9 8 8 7 7 7 8 8 8 7 7 7 7 7 8 8 9 9 8 7 7 7 7 6 6 6 7 8 8 8 8 8 8 7 7 7 7 8 8 9 10 11 10 10 9 9 10 12 12 10 7 6 6 6 6 6 5 5 6 8 10 11 11 10 9 9 9 9 9 9 8 8 8 9 9 8 8 7 5 4 1 -2 -4 -4 -2 1 3 4 5 5 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 4 4 3 2 2 5 7 9 10 11 11 11 11 11 10 9 8 8 9 9 9 9 10 10 10 11 10 10 9 8 7 7 6 6 6 6 6 6 6 7 nan
nan 10 9 9 7 6 6 6 7 9 10 10 9 8 7 7 7 7 8 8 8 8 8 8 7 8 9 9 11 12 12 12 11 10 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 7 7 7 6 5 4 4 5 7 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 9 10 11 13 12 9 7 6 7 7 6 6 5 5 5 6 7 8 9 9 8 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 5 2 -1 -3 -3 -2 0 3 4 5 5 4 5 6 7 8 8 8 8 9 9 9 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 5 4 3 4 5 7 9 9 10 10 11 11 10 9 9 9 9 9 9 9 9 10 11 11 11 10 9 8 7 6 6 6 6 6 6 6 6 6 nan
nan 10 10 9 8 7 6 6 6 7 8 8 7 7 7 8 8 7 7 8 8 8 8 8 8 9 10 10 10 10 11 12 12 11 11 10 10 10 10 9 8 7 7 6 7 7 8 8 7 7 7 7 6 4 3 3 5 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 12 12 10 8 7 7 7 7 6 6 6 6 6 5 5 6 7 7 7 8 9 9 10 10 9 9 8 8 8 8 8 8 8 8 8 6 4 2 -1 -2 -1 1 3 4 4 2 2 4 6 7 8 8 8 9 9 9 9 10 10 9 9 9 9 9 8 8 8 8 7 7 7 7 6 5 4 5 6 7 8 9 9 10 11 11 10 9 9 9 9 9 9 9 10 11 11 11 11 9 8 6 6 6 6 6 7 7 7 7 7 nan
nan 9 9 8 8 8 7 6 6 6 6 7 7 7 8 9 9 8 8 7 7 8 10 10 10 10 10 9 8 8 9 10 10 11 10 10 10 10 10 10 9 8 7 7 7 7 8 7 7 7 8 8 7 6 5 5 6 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 12 12 12 12 11 9 8 8 8 7 7 6 6 7 7 7 6 5 5 6 6 6 7 8 9 10 10 9 8 8 7 8 9 9 9 9 9 9 8 7 6 3 1 0 1 2 4 3 0 -1 1 3 6 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 7 6 5 6 7 7 8 8 9 10 10 10 9 9 9 9 9 9 9 10 11 12 13 13 12 9 7 6 6 6 6 7 7 7 7 7 nan
nan 8 8 8 8 8 7 6 6 6 6 7 8 9 10 10 10 10 9 8 8 8 10 11 11 11 10 9 7 7 8 9 9 9 9 9 9 9 10 11 10 9 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 9 9 9 8 8 8 8 9 11 14 14 13 11 10 9 9 9 8 8 7 6 6 7 8 8 7 6 6 6 5 6 6 7 7 8 9 9 9 9 8 8 9 10 9 9 9 9 9 9 9 8 7 5 4 4 5 5 4 1 -3 -3 0 5 6 6 6 6 7 7 7 8 8 9 10 10 10 10 11 11 11 11 11 10 10 10 10 9 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 11 12 14 15 14 11 9 7 6 6 7 7 7 7 7 8 nan
nan 8 8 9 9 8 7 7 7 7 7 8 9 10 11 11 11 11 11 10 10 9 10 10 11 12 11 10 9 9 9 9 10 10 9 9 9 9 10 11 11 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 7 7 6 5 5 7 9 10 9 9 9 9 9 9 10 11 11 10 9 8 8 8 8 7 7 6 6 6 7 8 8 8 7 6 6 6 6 7 7 7 8 8 8 9 9 9 8 8 9 9 8 8 7 8 9 10 9 9 8 8 7 8 7 6 2 -3 -4 -0 4 5 6 5 5 6 6 6 6 7 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 10 9 8 8 8 8 8 8 8 9 9 8 8 9 9 9 9 9 9 10 12 13 13 13 11 10 7 6 6 7 7 7 7 8 8 nan
nan 10 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 11 11 11 11 11 12 12 11 11 11 11 11 11 10 9 9 9 10 10 10 10 9 9 9 9 8 8 8 9 10 10 10 10 9 8 8 8 7 7 6 6 6 8 9 9 9 9 9 9 9 8 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 7 7 8 8 8 7 7 8 9 10 10 9 8 8 8 8 7 5 1 -3 -2 2 5 5 5 5 5 6 6 5 6 6 7 8 9 10 10 11 11 11 11 12 12 12 12 12 12 11 10 9 9 9 8 9 9 8 8 8 7 8 8 9 9 9 9 9 9 10 11 11 11 10 9 8 6 6 7 7 8 8 8 8 nan
nan 12 11 11 11 12 13 13 13 12 12 11 11 10 10 10 10 11 11 11 12 12 11 11 11 10 10 11 11 11 11 11 11 10 9 9 10 10 10 10 9 9 8 8 8 8 7 8 8 9 9 10 10 9 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 6 6 5 4 5 6 7 7 7 7 7 7 7 8 8 7 6 6 7 9 9 9 9 8 8 7 7 7 7 6 7 7 7 7 6 6 7 9 10 9 9 9 10 11 10 9 8 8 8 7 6 2 -2 -3 1 4 5 5 4 4 5 5 5 5 6 6 7 8 9 9 10 10 11 11 12 12 12 12 12 12 12 12 11 11 10 10 10 10 9 8 7 7 6 7 9 10 10 10 10 10 9 9 9 10 11 11 10 8 7 7 7 8 8 8 8 8 nan
nan 14 13 12 12 13 14 14 13 13 12 11 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 10 10 10 9 9 9 9 9 10 10 9 8 8 8 8 8 7 7 7 8 9 9 9 9 9 8 7 7 7 7 7 8 9 9 8 8 7 7 6 5 5 5 5 4 4 4 5 7 8 8 9 9 8 8 8 8 7 6 5 7 9 9 9 9 8 8 7 7 7 7 7 7 7 8 7 7 6 7 8 10 10 10 10 10 10 10 9 8 8 7 6 4 0 -3 -2 2 5 4 3 3 3 4 4 5 5 6 7 8 8 9 9 10 10 11 12 12 12 13 13 13 13 13 13 12 12 11 11 11 11 10 8 7 6 6 8 10 11 12 12 11 10 8 8 9 11 13 15 14 11 9 8 8 9 9 9 9 8 nan
nan 13 13 13 12 13 13 13 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 8 7 7 8 7 7 7 8 9 10 10 10 9 9 9 8 8 8 8 8 8 8 7 6 6 6 6 6 6 6 6 6 5 5 5 6 7 8 8 9 10 9 8 8 7 7 7 7 7 8 8 9 8 8 7 7 8 8 8 7 7 8 8 9 9 8 7 7 9 9 9 8 8 8 8 8 8 8 7 5 3 1 0 3 6 6 4 2 2 2 2 2 3 4 5 7 8 8 9 9 10 10 11 12 13 13 13 14 14 14 13 13 13 12 11 11 12 12 10 7 5 5 7 10 13 15 15 14 12 10 8 7 9 12 16 18 17 14 11 9 9 10 10 10 9 9 nan
nan 11 11 12 12 12 12 11 11 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 9 9 9 9 9 9 9 10 10 9 7 7 7 8 8 7 7 8 9 9 10 10 10 10 10 9 9 9 9 8 7 6 5 4 4 5 6 7 8 8 7 7 7 7 7 8 8 7 7 8 9 9 9 8 7 8 8 8 7 7 8 8 8 8 7 7 8 8 7 7 6 7 8 9 10 10 9 8 9 8 8 7 7 7 8 8 8 8 7 6 5 4 5 8 9 8 5 3 2 0 -1 -1 1 3 5 7 8 9 9 10 10 11 12 13 14 14 14 14 14 14 14 14 14 13 12 12 12 12 10 6 4 4 8 13 18 20 20 17 14 11 8 7 8 12 17 18 16 14 11 10 10 11 11 11 11 9 nan
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nan 9 10 10 10 9 9 9 9 9 9 9 9 9 8 8 7 6 6 6 7 7 8 8 8 8 8 8 8 8 9 11 11 11 10 10 9 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 10 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 13 13 13 13 12 12 11 11 12 12 12 12 12 12 10 8 7 6 7 8 9 9 10 10 10 10 10 10 10 9 9 7 6 5 5 6 6 7 7 8 8 8 8 8 9 8 9 9 9 9 9 9 8 7 5 5 5 5 5 5 5 6 7 8 9 10 10 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 5 6 6 6 6 6 7 7 nan
nan 9 9 9 9 9 9 10 9 9 9 10 10 9 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 8 9 11 11 11 10 9 9 9 9 9 10 10 10 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 9 9 10 10 10 9 9 10 10 10 10 10 10 11 11 11 11 11 12 13 13 13 12 12 12 12 12 13 13 13 12 9 7 7 7 8 9 9 9 9 10 10 10 10 10 10 10 9 8 7 6 6 6 6 6 6 7 7 8 8 9 9 9 9 10 10 9 8 7 6 5 4 4 3 4 4 4 4 4 4 4 5 7 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 7 7 7 7 7 nan
nan 8 8 8 9 10 11 10 10 9 9 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 9 9 9 9 10 10 10 10 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 13 13 14 13 13 13 11 9 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 8 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 9 7 6 6 6 7 7 7 6 7 8 9 8 7 5 5 6 7 8 9 9 9 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
nan 9 9 9 10 11 11 11 9 9 9 10 10 9 8 8 7 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 10 10 10 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 11 11 11 11 11 10 10 10 10 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 11 11 12 12 13 12 12 11 11 11 11 12 14 14 14 13 11 11 10 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 8 9 10 9 8 7 7 7 7 8 9 9 9 10 11 13 14 14 12 11 11 11 10 10 10 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 nan
nan 10 10 9 10 10 10 9 8 8 9 10 10 10 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 9 9 9 9 9 10 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 11 11 10 10 9 9 10 10 10 10 10 10 11 11 11 11 12 13 12 11 10 10 10 11 12 13 13 12 11 10 10 10 10 10 10 10 9 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 8 7 7 6 6 6 7 9 10 9 9 8 7 7 8 8 9 9 9 9 9 10 12 13 14 15 15 15 14 12 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 9 9 9 9 8 7 7 7 7 8 9 9 9 9 8 8 9 9 9 9 9 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 11 11 12 13 13 13 12 12 12 13 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 10 10 10 11 11 11 10 10 9 9 9 10 10 10 10 9 10 10 11 11 11 11 12 12 11 10 9 10 10 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 10 9 9 9 10 9 9 8 7 6 6 7 8 9 10 9 9 8 8 8 8 9 9 9 8 7 6 5 6 8 10 11 12 12 11 11 12 13 12 12 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 9 9 8 8 8 7 7 7 8 8 9 9 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 11 12 13 13 13 13 13 12 12 12 12 13 13 13 13 12 12 12 12 12 12 11 11 11 11 10 10 10 10 11 11 11 10 10 9 9 9 9 10 10 10 9 9 9 10 10 10 10 11 11 11 11 10 9 10 10 10 10 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 10 8 7 7 7 8 8 9 9 9 9 8 8 7 8 9 9 9 8 6 4 2 2 3 5 5 5 6 6 8 9 10 10 10 9 10 10 10 10 10 10 10 9 9 8 8 9 9 9 9 8 8 8 8 8 9 nan
nan 8 8 9 9 8 8 8 8 9 9 8 8 7 7 8 9 9 9 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 10 10 11 12 12 13 13 13 12 12 12 11 11 11 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 9 9 10 10 10 9 9 8 8 8 8 8 9 9 9 9 8 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 8 7 7 7 8 9 11 11 10 9 8 7 7 8 8 9 9 9 9 8 7 8 8 9 9 9 8 6 4 3 3 3 3 3 3 3 4 5 5 5 6 6 6 7 8 9 9 9 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 nan
nan 8 9 10 10 9 9 9 9 9 8 7 6 6 7 7 8 9 9 9 9 8 8 9 9 10 10 10 10 9 10 10 11 11 10 10 10 11 12 12 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 7 7 6 6 6 6 7 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 8 7 6 6 7 9 11 11 11 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 7 6 6 5 5 6 6 5 5 4 4 3 3 3 4 5 6 6 6 6 7 8 8 8 8 7 8 8 7 7 7 7 7 nan
nan 8 9 10 10 10 9 9 9 8 7 6 6 6 7 8 8 9 9 8 8 8 8 9 10 10 10 9 9 8 9 10 10 11 11 11 11 12 12 13 13 13 12 12 12 11 10 10 10 10 9 9 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 8 7 6 6 6 6 6 7 8 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 10 11 11 11 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 10 10 10 9 9 9 8 8 8 9 9 9 8 7 7 6 5 4 2 2 3 4 4 4 5 7 7 7 7 6 7 7 7 7 6 6 7 nan
nan 9 9 10 10 9 9 8 8 7 7 6 6 7 7 8 9 9 9 9 8 9 9 10 10 10 9 8 7 7 7 8 9 10 11 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 8 8 9 9 10 10 11 11 11 11 10 10 10 11 10 10 10 9 9 8 8 8 7 8 8 9 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 10 10 11 11 11 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 10 10 10 9 9 10 10 9 9 9 10 10 10 9 9 9 8 7 5 4 5 5 4 2 3 5 7 7 7 7 7 6 6 6 6 6 6 nan
nan 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 9 9 9 9 9 9 10 10 9 9 8 8 8 8 8 8 8 9 11 11 12 12 12 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 8 9 10 12 13 13 13 12 11 11 10 10 10 10 10 11 11 11 11 11 11 10 11 11 11 11 10 9 8 8 9 10 10 11 10 10 10 9 9 9 10 10 11 10 10 10 9 9 10 10 10 10 10 9 9 9 9 10 9 9 9 9 8 9 9 9 10 10 11 11 11 11 10 9 8 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 8 6 5 5 7 9 10 11 10 8 7 6 6 6 6 6 nan
nan 8 8 8 8 8 9 9 9 9 8 8 7 7 8 8 8 9 9 8 9 9 9 9 8 8 8 8 8 9 9 10 10 11 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 11 12 13 14 14 13 12 11 11 10 10 11 11 12 12 13 13 13 13 13 13 13 13 12 11 9 8 8 9 9 10 10 10 10 10 9 9 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 9 10 11 10 10 10 11 11 10 9 8 9 9 9 9 8 8 8 8 8 9 9 9 10 11 11 11 10 9 9 9 9 9 9 10 10 11 11 10 10 9 9 9 8 8 9 9 9 9 8 8 9 10 11 12 12 10 9 7 7 7 7 7 7 nan
nan 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 9 10 10 12 13 13 11 10 10 10 11 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 10 10 11 12 13 13 12 12 12 12 12 13 13 13 13 13 13 13 14 14 14 14 14 14 14 13 12 11 10 9 8 8 8 9 10 9 9 9 9 10 10 10 10 10 9 9 10 10 10 10 11 11 10 9 8 8 8 8 8 8 7 7 8 9 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 7 7 8 8 8 8 8 9 10 10 11 10 9 8 9 9 9 9 9 10 10 11 10 9 9 9 9 9 9 9 9 9 8 8 9 10 11 12 12 11 9 8 8 8 7 7 7 7 nan
nan 8 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 13 14 14 13 11 9 10 10 11 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 10 10 11 12 11 11 12 13 14 15 16 16 16 14 14 13 13 13 13 14 14 14 15 15 15 15 14 13 12 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 8 7 7 7 7 7 7 7 8 8 9 10 9 9 9 10 10 11 10 10 9 9 10 9 9 9 8 8 9 9 9 9 9 9 9 9 10 9 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 8 8 9 10 11 11 11 11 10 9 8 8 8 8 8 8 8 nan
nan 9 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 10 13 15 16 15 12 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 11 12 15 16 17 17 16 15 14 14 14 13 13 13 13 13 14 14 15 15 16 16 16 15 13 12 11 10 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 10 11 11 11 11 10 10 11 10 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 11 12 12 11 10 10 9 9 9 9 8 8 8 8 nan
nan 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 10 12 16 18 16 12 9 8 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 11 13 15 16 16 16 14 13 13 14 13 13 12 12 12 12 13 13 14 15 16 17 17 17 16 15 14 13 12 11 11 10 10 10 10 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 9 8 8 9 10 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 8 8 9 9 10 10 10 10 10 9 9 9 9 10 10 9 10 10 10 11 11 12 12 11 10 9 9 9 9 9 9 9 9 9 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 7 8 9 13 17 19 16 12 8 6 7 9 10 10 10 10 10 10 10 11 10 10 9 9 9 9 8 8 9 9 9 9 10 10 10 10 10 11 12 12 13 13 12 12 11 12 12 12 11 10 10 9 10 10 11 12 13 14 15 16 16 16 16 16 15 15 14 13 12 11 11 11 11 10 10 10 10 10 10 10 9 9 9 10 10 11 11 10 10 10 11 11 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 8 8 9 9 10 9 8 8 8 8 9 10 10 10 10 10 9 9 9 10 10 10 10 11 11 10 10 10 11 11 10 9 9 9 9 9 9 9 9 9 9 nan
nan 9 9 9 8 8 8 9 9 9 10 10 10 10 9 9 8 8 8 8 9 9 9 8 8 8 9 8 7 8 10 14 20 21 17 12 7 5 6 9 10 10 9 9 9 10 10 10 10 10 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 11 11 11 11 10 8 6 5 5 5 6 6 8 9 11 12 14 14 15 16 16 17 17 16 15 13 12 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 10 10 10 11 11 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 10 10 9 9 8 8 8 9 10 10 10 11 10 9 9 9 10 10 10 11 11 12 11 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 nan
nan 9 8 8 8 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 8 7 8 12 18 23 21 17 12 7 4 6 9 10 10 10 10 10 10 10 10 10 10 9 9 9 8 9 9 9 8 8 8 8 9 9 9 9 8 7 7 7 8 8 10 11 11 11 11 10 8 5 4 3 2 3 3 4 5 7 9 10 10 11 13 14 15 16 17 17 16 14 11 8 7 8 8 9 9 10 10 10 10 10 9 8 8 9 11 13 13 13 12 11 10 10 10 10 10 9 8 8 8 8 9 10 10 10 9 9 9 10 11 11 11 10 10 9 8 8 9 10 10 10 9 9 8 9 10 10 10 10 11 10 10 9 10 10 11 10 10 11 11 10 9 8 8 9 10 10 10 9 9 9 9 9 9 9 9 nan
nan 8 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 8 8 8 10 15 21 23 21 17 12 6 4 6 8 10 10 9 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 8 7 5 5 5 5 5 6 8 9 8 7 6 7 9 11 12 13 15 16 15 13 10 8 7 8 9 10 11 11 11 11 10 8 7 7 9 12 14 14 14 13 12 10 9 9 9 8 8 8 9 9 9 9 10 10 10 9 9 10 11 12 12 11 10 9 8 8 9 10 10 10 10 10 9 9 9 9 9 9 11 11 11 10 9 9 10 10 10 10 10 11 10 9 8 8 10 11 11 10 10 9 9 9 9 9 9 9 nan
nan 9 9 9 9 8 8 8 8 9 10 10 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 9 13 19 23 23 20 15 10 5 4 5 7 9 10 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 11 10 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 8 7 6 6 6 6 7 9 11 13 14 13 12 11 10 10 11 11 11 11 12 12 11 10 9 8 10 13 14 15 14 12 11 10 10 9 8 8 9 9 10 11 10 10 9 10 9 9 9 10 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 9 8 8 8 9 10 11 11 10 9 9 9 9 9 10 10 10 10 9 8 9 10 12 12 11 11 10 10 10 9 9 9 9 nan
nan 9 9 9 9 9 9 8 8 8 9 10 12 12 11 10 9 9 9 9 10 10 10 10 9 8 9 11 15 19 22 24 22 18 13 8 4 3 5 7 10 10 9 8 9 10 10 10 10 9 9 10 10 10 10 9 9 8 8 8 9 9 9 9 8 8 9 10 10 11 12 11 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 8 10 11 12 13 13 13 13 13 13 12 12 12 13 13 12 11 10 10 12 13 14 14 13 12 11 10 10 10 9 9 9 11 11 11 11 10 10 10 10 9 9 10 10 9 9 9 9 10 11 11 11 11 10 10 9 9 9 9 9 8 8 9 10 11 11 9 8 8 9 9 10 10 10 10 10 9 8 8 9 12 13 12 12 11 10 10 10 10 9 9 nan
nan 9 10 10 10 10 9 9 9 9 9 9 10 11 11 11 10 9 8 8 9 9 9 9 8 9 12 18 23 26 26 24 20 15 10 5 2 2 4 7 10 11 10 9 9 10 10 10 10 9 9 9 9 10 10 9 9 9 9 9 10 10 9 9 8 8 8 9 9 10 10 9 8 8 8 9 9 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 10 11 12 13 14 14 14 15 15 14 13 12 12 12 12 12 12 12 12 12 13 13 13 13 12 11 11 10 10 10 10 10 10 11 12 12 11 11 11 11 10 10 9 8 8 8 8 9 10 11 12 12 11 10 9 9 9 8 9 10 10 10 10 10 11 11 10 8 8 8 9 10 10 10 10 11 11 10 9 8 9 11 13 14 13 13 12 11 11 10 10 9 nan
nan 10 10 11 11 11 10 10 10 9 9 8 8 9 10 11 11 9 8 7 7 8 8 8 8 11 18 24 29 30 28 22 17 11 6 2 0 1 4 7 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 6 5 5 6 6 7 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 11 12 12 13 14 15 17 17 17 17 17 16 15 14 13 12 12 13 14 15 16 16 16 15 14 13 12 11 10 10 10 10 10 10 11 11 12 12 11 11 11 11 10 9 8 8 8 8 8 8 9 10 11 11 11 10 9 9 9 8 9 10 10 11 11 11 11 10 9 8 8 9 9 10 10 10 10 10 11 10 10 9 9 10 12 14 16 15 14 13 12 11 11 10 nan
nan 10 10 10 11 11 11 11 10 10 10 9 8 8 9 10 10 10 8 7 7 8 9 9 9 14 21 26 29 29 24 18 12 8 3 -0 0 3 6 7 7 8 8 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 8 8 8 8 7 5 4 4 3 3 3 5 8 9 9 9 9 9 9 9 8 9 9 10 10 11 13 15 14 13 12 13 15 17 18 18 19 19 19 18 17 16 17 18 20 21 21 21 20 19 17 16 15 13 11 10 10 10 10 10 11 11 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 10 11 11 11 11 10 9 9 9 9 9 10 11 11 11 11 9 9 8 8 9 10 10 10 10 10 10 10 11 10 10 9 9 11 15 18 18 17 15 14 13 12 12 nan
nan 9 9 10 10 11 11 11 11 11 11 10 10 9 9 10 10 9 8 7 7 9 10 11 12 15 20 24 25 23 18 14 10 6 2 -0 3 6 8 8 7 7 8 9 10 10 10 10 10 10 11 11 12 12 11 11 11 10 10 10 9 9 9 10 9 9 9 8 9 9 7 5 4 4 3 2 2 3 7 10 10 9 9 9 9 8 8 8 9 9 10 12 13 14 13 12 10 9 10 12 14 16 17 18 18 19 19 19 20 21 22 21 21 20 20 19 18 17 16 14 12 11 10 11 11 11 10 10 9 9 9 10 9 9 9 8 8 8 8 8 9 10 10 11 11 11 12 11 11 10 9 9 9 10 10 10 10 10 10 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 11 15 19 20 20 18 16 15 15 15 nan
nan 9 9 9 10 11 11 11 12 12 12 11 11 11 10 10 10 9 9 8 8 9 11 12 13 15 18 20 21 18 15 12 9 6 2 2 5 8 9 8 7 7 9 10 10 10 9 9 9 10 10 11 12 12 12 11 11 10 9 8 8 9 10 10 10 9 9 9 9 9 8 6 6 6 5 3 2 1 4 8 9 9 8 8 8 8 7 7 8 9 10 10 11 11 10 10 10 9 9 9 10 11 12 12 13 13 14 15 16 16 16 15 15 15 15 15 15 15 14 13 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 8 8 7 8 9 10 11 11 11 10 11 12 12 11 10 9 9 10 10 10 10 10 10 10 10 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 10 13 17 20 19 18 17 16 16 16 nan
nan 9 9 9 10 10 11 11 12 12 11 11 10 10 9 9 9 9 9 9 9 10 11 12 13 14 15 16 17 15 13 12 10 6 3 4 7 9 8 8 8 9 10 11 11 10 9 8 8 9 9 10 11 12 12 12 12 11 9 7 6 6 7 9 9 9 9 9 10 10 9 8 8 8 7 6 3 1 2 5 7 8 7 7 7 7 7 7 7 8 9 9 9 8 9 10 11 10 10 9 9 8 8 8 9 9 9 10 10 11 10 11 11 11 11 10 10 10 11 11 11 11 10 8 6 5 6 8 9 9 9 9 9 9 9 8 8 8 9 10 10 10 11 10 10 10 11 12 12 10 10 9 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 11 10 10 10 10 10 10 10 10 9 9 11 13 14 14 14 14 14 15 nan
nan 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 10 11 12 13 13 14 14 13 12 11 10 9 6 4 5 7 8 8 8 10 11 12 12 11 10 9 8 8 8 8 9 10 11 12 13 14 14 11 8 5 4 4 6 7 8 9 10 11 11 9 9 9 9 9 8 4 1 3 5 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 11 11 11 11 10 8 7 7 6 6 6 7 7 8 8 9 9 9 9 10 9 8 8 9 9 9 8 7 4 2 3 6 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 12 12 11 10 10 10 10 10 9 9 10 10 10 10 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 9 7 6 5 6 7 8 8 9 10 nan
nan 9 9 10 10 10 10 10 10 11 11 11 10 9 9 9 10 10 10 10 9 9 10 12 13 14 13 12 11 10 8 8 7 6 5 5 6 7 9 9 10 11 11 11 10 9 8 8 7 7 7 8 8 9 11 13 15 16 14 11 8 5 4 4 5 7 8 10 11 11 10 9 10 10 11 8 4 3 4 6 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 11 11 10 8 7 5 4 3 4 5 6 7 6 6 6 7 8 8 8 9 10 11 11 9 8 5 3 1 2 5 9 11 12 11 10 9 9 10 10 11 11 10 9 9 9 9 10 10 10 11 12 12 12 12 11 10 9 9 9 9 9 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 7 4 3 2 3 3 4 4 5 nan
nan 9 9 9 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 12 14 15 14 12 10 8 6 5 5 4 3 3 4 6 9 10 10 10 10 10 9 9 8 8 7 7 7 7 7 8 9 11 14 16 14 13 11 8 7 5 5 6 7 8 10 10 11 10 11 11 12 9 5 3 3 6 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 9 8 7 6 4 4 5 6 6 6 4 3 2 3 4 6 8 9 12 15 14 12 10 7 4 1 0 3 7 10 12 11 10 9 9 9 10 10 10 9 9 9 9 9 9 9 10 11 11 11 12 12 11 10 9 8 9 9 9 9 10 10 10 9 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 7 6 6 6 5 4 4 4 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
0 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 0 0 0 0 0 0 1 3 4 5 6 9 14 20 24 26 28 29 27 20 15 16 18 16 14 15 17 15 13 9 8 7 5 4 5 7 9 9 12 24 44 54 60 72 77 74 71 68 70 80 102 122 127 125 119 119 122 131 138 137 132 134 144 160 169 175 174 166 156 153 165 173 176 182 188 196 201 205 213 202 200 225 258 253 210 173 169 169 169 172 169 166 169 176 180 181 182 180 175 165 155 147 143 133 117 100 87 76 60 41 28 18 10 5 1 0 0 0 0 0 0 1 2 3 4 6 8 12 26 38 48 49 48 46 35 21 19 18 15
0 1 2 2 2 1 1 1 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 2 1 0 0 0 0 1 2 4 5 6 7 9 13 18 23 28 30 32 33 30 23 19 19 16 9 9 17 19 15 12 7 5 5 5 4 4 6 8 9 10 17 35 48 54 66 76 76 72 66 64 70 86 108 129 137 128 127 131 138 140 135 131 147 160 170 174 175 175 173 172 183 183 183 186 189 191 194 196 195 189 181 178 197 218 215 192 172 166 173 184 183 175 169 171 178 175 176 182 188 193 190 178 160 153 147 134 119 105 89 73 57 40 24 15 7 2 0 0 0 0 0 0 1 2 2 3 4 5 9 16 24 36 41 36 30 24 13 13 13 12
1 2 2 2 2 1 1 2 2 2 2 1 1 2 2 2 1 1 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 2 3 5 6 8 12 17 20 23 26 28 30 32 27 21 19 20 15 11 15 22 21 15 8 3 0 2 4 5 5 6 8 9 8 11 23 39 48 56 67 74 72 67 65 72 83 100 125 132 132 141 151 154 148 138 135 153 168 176 176 176 179 189 193 202 205 203 198 194 192 192 199 220 222 196 176 179 184 183 178 166 167 164 167 169 164 160 162 160 157 160 168 181 197 209 206 183 169 160 148 134 121 104 88 72 52 34 22 13 5 1 0 0 0 0 0 0 1 2 3 3 3 6 12 20 27 32 27 17 17 14 12 11 9
0 1 2 2 2 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 10 17 21 22 23 24 24 26 26 22 18 19 20 18 18 23 26 23 17 9 3 0 0 1 2 5 5 8 9 8 12 21 31 35 41 54 60 62 62 63 67 73 104 117 130 143 154 162 164 158 142 152 168 179 179 179 187 199 209 206 206 207 205 200 198 203 204 214 218 203 179 166 161 158 157 154 147 144 146 151 152 151 157 158 156 155 154 155 166 189 212 219 213 194 173 159 149 139 125 110 87 67 48 33 22 12 5 0 0 0 0 0 0 0 2 2 3 4 7 12 17 23 27 24 16 14 15 14 11 6
0 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 11 19 22 23 23 22 20 19 18 18 19 19 19 20 23 30 31 26 21 15 7 2 0 1 2 5 5 7 8 8 11 16 22 23 26 35 41 46 50 55 62 70 89 114 138 151 156 161 166 159 154 166 174 171 171 184 201 213 211 204 202 204 205 201 197 202 217 229 217 185 161 155 149 143 130 121 115 119 136 148 146 148 161 156 150 153 158 160 165 180 200 208 195 183 178 177 175 167 149 128 107 87 67 48 32 20 9 3 1 0 0 0 0 0 1 2 4 4 6 10 14 18 20 21 20 18 16 13 8 5
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 11 14 18 20 21 21 19 16 15 14 15 15 16 19 25 30 37 33 26 21 14 5 1 2 4 5 5 5 6 6 5 5 6 12 14 15 18 24 31 37 43 53 62 79 105 141 166 163 162 166 165 171 175 167 163 176 198 209 211 203 200 200 204 209 205 198 192 208 220 217 203 182 159 140 135 116 105 106 119 135 140 139 151 164 163 153 152 170 180 179 183 201 211 207 203 204 206 206 196 178 155 132 108 84 63 46 31 17 8 3 1 0 0 2 3 2 2 3 4 6 9 14 17 17 18 20 20 15 6 4 4
0 1 0 0 1 1 0 1 1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 3 10 14 17 18 19 19 18 16 15 14 13 16 19 21 24 29 32 33 27 21 16 11 5 2 5 4 5 6 5 5 4 1 1 0 3 6 6 7 12 19 25 30 42 61 85 109 155 200 187 183 176 173 172 167 161 164 183 199 208 205 199 200 202 201 201 200 198 197 210 222 224 213 193 169 145 138 124 111 107 109 114 128 143 161 176 183 182 180 189 189 193 194 212 231 237 236 236 231 228 220 205 183 157 130 104 83 64 45 29 18 10 6 3 1 2 4 3 2 3 4 5 7 13 16 16 15 15 18 13 8 5 4
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 3 6 12 17 18 18 17 17 16 14 14 17 17 16 18 22 23 20 25 27 23 18 13 9 6 1 0 3 4 5 6 6 4 2 0 0 0 0 0 0 1 4 9 15 21 28 45 75 107 140 189 225 227 229 231 210 179 165 171 186 196 202 198 192 191 195 192 183 180 188 199 215 231 236 223 196 176 156 143 132 122 114 108 114 133 151 170 184 194 199 188 172 176 184 188 200 215 229 245 264 255 248 241 229 209 184 158 132 109 87 64 44 34 26 18 9 7 4 1 0 1 3 8 7 10 14 15 15 17 15 16 13 9 5 4
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