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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 6 7 7 7 8 8 9 9 9 9 8 7 7 7 7 7 7 7 8 8 8 7 6 5 5 5 6 7 7 7 7 7 7 7 6 5 5 5 5 6 6 7 7 5 4 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 7 7 7 7 7 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 10 12 16 21 23 20 15 9 4 1 0 2 5 7 8 10 10 9 8 6 5 3 2 3 7 10 12 12 10 8 6 5 5 5 6 6 5 5 5 4 3 5 6 8 8 8 7 6 5 5 6 8 9 10 10 11 13 12 10 9 8 8 8 7 5 6 8 12 16 18 18 16 14 13 12 11 10 10 10 9 7 6 4 4 3 3 3 3 2 1 1 1 3 5 6 6 nan
nan 7 7 6 6 6 7 7 8 8 9 9 9 8 7 6 6 7 7 7 7 7 7 7 7 7 6 6 5 5 6 7 7 7 7 7 7 6 6 5 5 6 6 7 7 8 8 7 4 3 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 8 9 9 10 10 10 10 10 10 10 10 10 11 14 18 21 22 19 14 10 5 1 -0 1 4 8 9 9 9 8 7 5 3 1 1 3 6 10 12 12 11 9 7 6 7 7 8 7 6 5 4 4 3 4 5 6 7 6 5 5 5 6 8 9 10 10 10 10 11 11 10 9 9 9 9 9 9 10 14 18 21 21 19 16 13 12 10 9 8 9 9 8 7 5 5 5 5 5 5 5 5 4 4 5 7 8 9 9 nan
nan 7 7 6 6 6 7 7 8 8 8 8 7 7 7 6 6 7 7 7 7 6 6 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 6 6 7 8 8 9 9 9 9 8 6 4 4 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 7 7 6 6 6 6 6 7 7 8 8 8 8 8 7 8 8 8 8 8 8 8 9 8 7 7 8 9 9 10 10 10 10 10 10 10 10 11 14 17 19 18 16 13 10 5 1 -1 -0 3 7 9 8 7 6 4 3 1 1 2 4 7 10 12 13 12 10 8 8 8 9 10 9 7 5 5 4 4 4 5 6 6 6 6 6 8 9 9 10 11 11 8 6 6 8 9 9 10 10 10 10 12 15 19 21 21 19 15 12 10 9 7 6 6 6 6 6 5 6 7 7 7 7 7 7 6 5 6 7 7 8 10 11 nan
nan 7 7 6 6 6 7 7 7 7 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 6 6 7 7 7 7 7 7 7 8 9 10 10 10 10 10 9 7 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 6 6 6 6 7 7 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 7 6 7 7 8 9 10 10 10 10 10 10 11 11 12 13 14 14 14 13 11 7 2 -1 -3 -2 1 5 6 6 4 3 1 1 1 2 5 6 8 10 12 12 11 10 9 9 9 10 10 9 7 6 5 4 4 4 4 5 6 8 9 9 10 10 11 12 12 11 7 3 2 5 7 9 10 11 11 11 13 16 19 19 17 13 10 8 7 5 3 2 3 3 4 4 5 6 6 7 7 7 7 6 5 5 6 5 5 7 9 10 nan
nan 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 7 7 7 8 9 10 11 10 9 9 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 7 7 7 8 9 10 10 11 11 11 11 11 12 12 13 12 10 10 10 9 7 2 -1 -2 -1 -1 -0 2 3 2 1 -0 -1 -0 2 4 7 9 10 11 12 11 10 10 10 10 10 11 10 8 7 5 5 4 3 3 4 5 6 8 10 11 11 11 12 13 13 11 7 5 5 6 7 8 10 11 11 10 10 12 14 12 9 7 6 6 4 2 -0 -1 0 1 1 2 2 3 4 5 5 6 6 5 4 5 6 5 6 7 7 5 nan
nan 7 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 7 7 8 9 10 10 9 8 7 6 6 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 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 11 11 11 11 12 12 14 13 12 9 7 6 6 3 0 -0 1 3 3 1 0 0 -0 -0 -0 -0 1 3 7 10 12 13 12 12 11 10 10 10 11 11 11 9 7 6 6 6 5 4 3 3 4 6 9 11 12 12 11 12 12 12 11 10 10 10 9 8 8 10 11 10 8 7 8 8 6 4 4 5 4 2 0 -0 -0 1 0 -0 -1 -1 1 2 3 4 6 6 5 6 7 7 6 6 6 4 1 nan
nan 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 9 9 9 9 9 9 8 7 7 8 9 9 9 8 7 6 5 5 6 6 7 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 10 11 11 11 11 11 12 12 13 15 14 12 9 6 4 3 3 3 5 8 9 8 5 2 1 1 1 1 1 3 5 9 13 15 14 13 12 12 11 11 11 11 11 11 10 8 8 9 9 9 7 5 4 4 6 8 11 12 13 13 12 10 10 11 12 13 12 11 8 8 10 11 9 8 8 8 6 4 4 5 5 3 1 1 2 3 2 0 -2 -3 -2 0 2 4 5 6 7 7 7 8 8 6 5 4 2 -0 nan
nan 6 6 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 10 10 10 9 8 8 8 8 8 8 7 6 6 5 4 5 6 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 12 12 12 13 14 15 15 13 10 7 3 2 3 5 8 11 12 11 8 5 4 4 4 3 3 4 7 11 15 16 15 14 13 12 12 13 13 13 13 13 12 11 11 11 11 11 10 7 5 5 6 9 11 13 14 13 11 9 9 11 12 11 11 10 10 10 11 12 11 11 11 9 6 5 6 6 4 3 3 4 5 5 2 -1 -3 -3 -1 2 4 5 6 7 8 8 8 8 7 5 4 3 2 1 nan
nan 6 6 6 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 9 9 10 10 10 10 10 9 9 9 8 8 7 6 5 5 4 5 6 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 12 12 12 13 13 14 14 14 14 13 11 6 2 -0 1 3 5 8 10 11 10 8 7 6 5 4 4 6 9 13 15 15 14 13 12 12 12 13 15 16 17 16 15 14 14 13 12 12 10 8 6 6 7 10 13 15 16 14 11 9 9 9 9 9 10 12 13 14 15 15 15 14 11 7 4 3 4 5 4 4 4 5 5 4 2 -0 -1 -1 0 3 6 6 7 8 9 8 7 6 5 4 3 3 4 3 nan
nan 7 7 7 7 7 7 7 7 8 8 9 9 9 8 7 7 7 7 7 8 8 9 9 8 7 7 6 6 6 7 7 8 9 9 9 9 9 9 10 10 9 9 8 7 6 5 4 5 6 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 12 12 13 13 13 14 14 14 14 14 13 11 8 4 1 -0 1 2 4 6 9 9 8 7 6 6 5 4 5 8 11 14 14 13 11 11 11 11 11 13 15 17 17 17 16 16 16 15 14 12 10 8 6 7 8 11 14 16 16 13 10 9 8 7 6 7 10 14 18 20 19 18 15 11 6 2 0 0 2 5 8 8 7 5 3 2 2 3 4 4 4 5 7 7 8 9 9 9 8 6 5 3 3 4 5 5 nan
nan 7 7 7 7 7 7 8 8 8 9 9 9 9 8 7 7 7 8 8 8 9 9 8 8 7 7 6 6 6 6 6 7 8 9 8 8 8 8 8 8 8 7 6 5 5 5 5 6 7 7 7 7 8 8 8 8 8 8 8 7 7 7 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 8 8 9 9 9 9 10 11 11 13 14 14 14 14 14 14 14 14 14 14 12 9 4 0 0 2 5 7 10 11 11 9 7 6 6 6 6 6 8 10 13 14 14 11 9 9 9 9 9 10 11 12 13 14 14 15 15 16 16 15 13 10 8 8 10 12 13 13 13 11 10 8 7 5 5 6 11 17 22 24 22 17 11 5 0 -2 -2 -1 2 7 12 12 8 4 2 1 2 3 5 8 8 8 8 8 8 8 9 9 9 8 6 4 4 5 5 6 nan
nan 7 7 7 7 8 8 8 8 8 9 9 9 8 7 7 7 8 8 9 9 9 8 8 7 7 7 7 7 6 6 6 7 8 8 7 7 7 7 7 7 6 5 4 4 5 5 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 10 10 11 12 13 15 16 16 16 15 14 14 14 14 15 16 14 9 2 -2 0 4 7 11 15 16 15 11 9 10 11 11 10 9 10 12 14 15 14 11 8 7 6 6 6 7 8 9 10 11 11 11 12 13 14 15 15 14 12 11 12 12 11 8 6 8 9 8 5 4 4 7 11 16 20 21 18 11 5 0 -2 -2 -2 0 3 7 10 11 9 5 2 0 -0 0 3 8 11 10 9 8 6 5 5 6 8 10 9 8 7 6 4 4 nan
nan 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 5 4 5 5 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 8 8 9 10 10 11 12 12 13 14 14 15 15 15 15 13 13 12 13 14 16 14 10 4 0 1 3 5 9 13 14 12 10 11 15 18 16 12 11 12 14 15 16 14 11 8 6 5 4 4 5 7 8 9 10 9 9 9 9 10 12 14 15 15 15 14 12 10 6 4 6 10 10 7 6 7 8 10 12 14 14 9 3 -1 -1 -0 -1 -1 2 4 5 5 6 6 6 4 2 -0 -0 3 8 11 12 10 7 3 1 0 2 5 10 13 14 12 9 4 3 nan
nan 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 9 8 8 7 7 7 7 7 7 7 8 8 7 6 6 6 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 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 9 10 11 12 12 13 13 14 13 13 13 14 15 14 12 10 9 8 10 12 12 9 6 3 2 3 5 6 7 7 7 8 13 17 18 15 12 11 12 13 14 15 15 12 9 6 5 4 4 5 8 10 10 9 8 8 7 7 7 8 10 13 16 18 16 13 10 8 7 9 12 13 13 12 11 11 10 9 7 4 -0 -3 -2 -0 1 1 1 2 3 2 1 0 1 5 9 9 6 4 5 7 10 11 9 6 2 -1 -2 -1 3 9 14 18 17 13 6 4 nan
nan 9 9 9 9 9 9 9 8 8 8 8 8 9 9 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 7 8 8 8 8 8 7 7 7 7 7 9 10 11 12 13 13 14 14 15 15 14 14 14 15 15 13 11 7 5 5 6 8 9 7 5 4 3 5 7 7 4 3 5 9 14 16 16 13 11 11 10 11 12 13 15 15 12 9 6 5 5 7 9 11 10 8 7 7 7 6 6 7 9 12 15 17 16 13 11 10 11 12 13 14 15 14 14 12 10 7 3 -1 -4 -4 -1 1 2 2 2 2 2 1 -1 -3 -2 3 13 18 15 11 8 7 7 7 7 6 3 -1 -3 -1 3 9 14 20 21 16 10 6 nan
nan 9 9 9 9 9 8 8 8 8 9 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 8 8 8 7 8 8 9 8 8 7 7 8 9 10 11 13 13 14 15 16 17 17 17 17 17 17 17 17 15 12 8 5 4 3 5 6 6 3 1 1 2 5 7 7 4 3 7 11 14 14 13 12 11 10 9 9 10 13 16 18 16 13 9 8 8 9 10 9 8 7 6 6 7 7 8 9 10 11 13 14 15 13 12 12 12 12 11 11 11 11 10 10 9 8 6 2 -0 0 2 3 3 2 1 1 1 1 0 -2 -2 2 12 20 19 15 11 9 7 6 5 5 3 0 -2 -1 3 8 13 19 20 18 13 9 nan
nan 9 9 9 9 8 8 8 8 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 8 8 8 8 8 8 9 9 9 10 11 11 11 11 10 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 8 8 8 9 9 8 8 7 8 10 12 13 14 15 16 17 18 19 20 21 22 22 21 19 18 16 13 10 7 4 3 3 3 3 2 -1 -2 0 2 5 7 6 5 6 9 12 11 10 10 10 10 9 8 8 10 12 15 19 20 18 14 12 11 10 10 8 7 6 6 6 7 8 10 10 10 10 10 11 12 12 12 12 12 10 7 6 6 6 5 5 5 7 7 7 7 7 7 6 3 1 -0 0 1 2 3 2 0 1 6 12 15 15 14 12 10 8 6 6 4 2 0 1 3 7 11 16 19 19 15 11 nan
nan 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 7 7 8 8 8 8 8 8 9 10 11 11 11 10 9 9 9 9 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 10 11 12 14 15 16 17 18 19 21 23 24 24 24 22 19 17 14 12 9 7 5 3 2 1 -0 -2 -2 0 5 9 11 10 9 8 8 9 10 9 8 8 8 8 8 7 8 9 11 14 18 22 22 19 15 13 12 10 9 7 6 6 6 8 9 10 11 10 8 6 6 8 9 10 12 12 10 7 6 6 6 5 3 2 4 6 9 11 12 11 8 4 1 -0 1 3 5 6 7 5 2 1 4 8 11 12 11 10 9 9 9 7 4 3 3 3 5 9 14 18 19 17 13 nan
nan 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 7 7 7 7 7 8 7 7 8 9 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 8 8 9 9 9 9 8 9 9 8 8 8 8 8 8 9 9 9 8 9 9 10 9 10 12 14 15 17 18 20 21 22 23 23 21 19 16 15 13 11 9 8 7 6 4 2 0 -0 2 6 12 16 17 14 12 9 8 8 8 7 7 7 7 7 7 6 7 9 10 13 16 19 21 19 16 13 12 11 10 8 6 6 6 8 9 10 10 10 6 1 -0 2 6 9 12 14 12 9 8 8 8 7 5 4 4 5 8 11 13 13 10 6 3 2 4 6 9 10 11 9 6 2 1 3 6 8 8 8 9 10 11 10 7 5 3 3 5 9 14 17 17 16 13 nan
nan 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 11 12 12 12 14 16 18 20 22 22 22 20 19 19 19 17 14 12 11 9 8 8 8 8 8 7 4 2 3 6 10 13 15 15 13 11 10 8 6 6 6 7 8 8 8 7 7 7 8 9 10 11 13 15 16 14 12 11 10 9 8 7 6 7 9 10 10 10 9 6 -0 -5 -2 3 8 12 14 14 11 9 9 10 9 8 7 6 6 9 11 13 12 10 8 7 7 9 12 14 14 13 11 8 5 4 4 6 7 7 7 7 8 10 10 8 6 4 4 6 10 13 15 14 13 11 nan
nan 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 8 7 7 7 7 7 7 7 7 8 8 8 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 10 12 16 19 21 23 26 29 30 29 27 25 21 18 16 15 15 14 11 8 6 5 4 5 6 8 8 7 5 4 5 7 8 7 6 6 6 7 8 8 7 6 7 9 11 11 10 9 8 8 8 8 7 8 10 12 12 11 9 9 8 8 7 7 8 9 11 12 11 10 8 5 -0 -5 -2 4 9 12 13 13 11 10 10 10 10 9 8 7 7 8 9 10 10 10 10 11 13 14 15 17 16 14 11 10 9 9 9 9 9 8 6 5 5 7 8 8 7 6 6 8 11 13 14 13 11 9 nan
nan 9 9 9 9 8 8 9 9 9 8 9 9 9 9 9 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 9 13 18 23 27 30 33 36 37 35 30 24 18 14 11 10 10 12 13 11 7 4 3 3 4 5 7 7 7 6 5 5 4 2 -1 -2 -3 -1 3 6 7 7 7 9 13 16 16 13 12 11 9 7 6 6 8 10 11 11 9 7 6 7 7 8 8 9 10 11 13 13 11 8 4 -0 -3 -0 5 11 14 14 13 11 10 10 10 9 9 8 7 6 5 5 6 8 9 11 14 16 16 16 16 15 14 13 12 13 13 13 13 12 10 8 6 6 5 6 7 8 7 7 8 11 13 14 13 11 8 nan
nan 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 11 16 20 24 27 30 33 34 33 28 21 15 11 8 6 4 4 6 9 10 7 5 4 5 5 5 6 7 7 7 7 5 1 -3 -5 -5 -5 -2 1 4 6 6 7 11 17 20 19 16 15 13 10 7 5 6 9 12 13 11 8 5 4 5 7 9 10 10 10 10 11 13 14 12 7 2 -0 2 7 12 17 17 15 12 10 9 8 7 7 7 6 4 2 2 4 6 8 11 14 16 15 15 14 14 14 14 14 14 15 15 14 13 11 10 8 7 6 7 8 8 8 7 8 10 12 14 13 10 6 nan
nan 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 10 13 16 18 18 19 20 22 24 22 17 12 10 9 8 5 2 0 1 4 6 6 5 5 7 7 6 5 5 6 7 6 4 -0 -3 -5 -4 -3 -1 1 3 4 4 6 12 18 20 17 14 13 12 10 7 6 7 10 14 15 13 9 5 3 4 7 10 12 11 9 7 7 9 13 13 11 6 3 3 7 13 19 20 18 14 10 7 6 4 4 5 5 3 2 2 4 7 9 12 14 14 14 14 14 14 14 14 14 14 15 15 14 13 11 10 9 8 8 8 8 8 8 6 5 6 9 12 12 9 4 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 9 9 11 12 13 12 11 10 11 12 14 13 10 8 7 7 7 6 3 1 -1 0 3 6 7 8 10 10 7 4 3 4 5 4 2 -1 -3 -4 -3 -2 -1 0 1 2 3 5 9 14 15 12 10 9 10 10 9 8 10 13 16 16 13 8 4 3 4 8 12 13 12 9 5 3 3 5 9 10 8 6 5 8 13 17 18 16 12 8 6 4 3 2 3 4 4 4 5 8 11 13 14 13 13 13 13 13 14 14 14 13 13 13 13 12 11 10 10 10 9 8 7 7 7 6 5 3 3 7 12 13 11 5 nan
nan 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 9 10 11 11 10 9 8 7 6 7 8 8 6 5 4 3 3 4 5 4 2 1 4 8 10 12 14 13 10 7 5 4 4 4 2 0 -2 -2 -2 -1 -0 1 2 3 4 4 5 8 10 9 7 8 9 10 10 11 13 15 17 16 13 8 5 3 4 9 13 15 13 9 5 1 -1 -1 5 10 11 10 9 10 11 13 13 11 8 6 5 4 3 3 4 5 7 8 10 13 16 17 16 14 12 11 11 12 13 13 13 12 12 11 11 9 8 8 8 9 8 7 6 5 5 5 4 3 3 8 13 16 14 10 nan
nan 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 10 9 8 7 7 6 5 6 5 4 4 4 3 2 5 8 9 8 4 4 7 11 14 16 15 13 10 8 7 7 6 5 4 2 3 3 4 5 5 6 7 6 4 3 4 7 8 8 7 7 8 9 11 15 18 18 17 13 10 6 3 5 9 13 15 13 10 6 2 -1 1 7 13 15 13 11 10 10 10 10 9 6 4 4 4 4 5 7 9 11 13 15 18 19 18 17 14 13 11 11 10 11 11 12 12 11 11 9 7 5 5 6 7 7 6 5 5 5 4 4 5 8 12 15 16 16 12 nan
nan 10 10 11 11 10 10 10 9 9 9 8 8 8 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 10 10 11 12 12 10 8 8 7 7 6 6 5 4 5 8 9 9 12 16 16 13 6 3 5 9 13 16 18 17 14 11 10 10 9 8 7 7 7 9 10 11 12 13 13 10 6 4 4 7 9 8 6 4 4 6 10 14 18 18 16 14 12 9 5 5 8 11 13 12 10 7 4 3 6 13 18 17 13 10 8 9 9 9 7 4 2 2 3 5 8 11 14 16 16 17 17 16 15 15 15 15 14 12 11 10 10 11 12 13 11 9 5 3 3 4 5 6 6 6 5 4 4 5 8 11 15 16 15 14 11 nan
nan 11 11 11 10 9 9 9 8 8 8 8 8 9 10 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 11 13 14 14 12 9 8 7 7 6 6 5 5 7 11 15 17 20 22 21 16 8 3 3 7 12 16 18 18 16 13 11 10 9 8 8 8 9 11 13 15 17 18 17 14 9 6 6 9 11 9 5 1 0 2 7 13 17 17 15 13 11 10 7 5 7 9 10 10 9 7 4 5 9 15 19 18 13 8 7 6 7 6 4 2 1 2 4 7 11 15 17 17 15 13 12 11 12 13 14 15 15 13 12 11 11 12 13 13 10 7 3 2 3 4 5 5 6 5 4 1 1 3 6 10 15 17 15 13 10 nan
nan 11 10 10 9 8 8 8 8 8 8 9 10 10 11 11 10 10 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 11 12 13 14 14 13 9 7 5 4 4 4 5 5 7 11 16 19 20 20 19 14 8 4 3 5 9 13 16 17 16 13 11 9 8 7 8 8 9 10 12 15 17 19 18 15 11 8 9 10 10 8 4 0 -1 1 6 12 16 16 13 10 10 9 8 7 6 7 8 8 8 6 5 6 10 14 18 18 14 10 7 5 5 4 3 2 3 5 7 10 14 18 18 15 12 9 7 7 9 11 13 13 13 12 11 10 11 12 12 10 7 4 3 4 4 5 5 5 5 4 2 -1 -2 -1 3 7 12 16 17 15 13 nan
nan 10 9 9 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 11 12 14 15 14 13 11 8 5 3 2 2 2 3 4 7 10 13 15 14 13 11 8 5 2 1 3 6 9 13 15 15 13 10 8 7 7 8 9 9 9 11 13 16 18 18 15 11 9 9 9 8 6 4 1 -1 1 6 12 16 15 11 8 8 9 10 9 8 7 6 6 6 6 5 6 8 11 14 16 16 13 10 8 7 5 4 3 4 6 10 14 18 20 18 14 9 6 5 6 8 10 11 11 10 8 8 7 8 9 9 8 6 5 6 6 7 7 6 5 4 4 3 1 -2 -2 0 5 10 15 18 19 17 nan
nan 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 11 12 14 15 15 14 12 10 7 4 2 1 1 2 3 5 6 8 11 12 11 8 5 2 0 -1 -0 2 5 8 12 16 17 15 13 11 9 9 9 8 8 9 11 14 17 18 18 14 11 9 10 9 8 6 4 1 -1 -0 5 12 16 14 10 8 7 9 11 11 10 8 6 5 4 5 5 6 7 8 11 13 14 15 14 13 12 8 4 0 0 5 12 18 20 19 17 13 9 6 5 5 7 10 10 9 8 6 6 5 4 5 8 9 9 9 10 10 9 7 5 3 4 7 8 7 2 -0 1 5 9 13 15 17 17 nan
nan 9 9 10 10 10 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 10 13 15 16 15 13 12 10 8 6 4 3 3 3 4 5 6 7 8 11 13 12 9 5 1 -1 -1 1 4 7 11 16 19 21 20 18 16 13 11 9 8 8 10 13 17 19 20 18 14 11 10 11 12 11 8 4 0 -2 -1 4 11 14 13 9 7 6 8 11 12 11 10 8 6 4 4 5 5 6 7 8 9 12 14 15 15 13 9 2 -2 -1 6 14 18 19 17 14 12 10 8 5 5 7 9 10 9 7 5 5 3 2 2 8 13 13 13 13 13 10 6 3 3 6 9 11 10 6 4 4 6 8 9 9 11 13 nan
nan 9 10 10 9 9 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 12 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 12 15 18 16 13 11 10 9 8 6 6 7 7 7 7 7 8 9 10 12 14 14 11 7 3 1 1 3 7 12 17 20 22 23 24 22 19 15 12 9 8 9 12 16 19 21 22 19 15 12 11 12 13 12 10 6 1 -1 -0 5 11 13 11 7 5 5 6 8 10 11 12 11 8 6 5 5 5 5 6 7 9 10 12 12 12 9 4 -1 -1 3 9 15 17 15 13 11 11 11 9 6 6 7 9 9 8 5 3 2 1 -1 1 8 14 14 13 13 12 10 5 3 4 8 11 12 11 9 7 6 6 6 5 4 4 6 nan
nan 10 9 9 9 9 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 10 12 14 15 16 14 12 11 10 9 8 7 8 9 11 11 11 11 11 10 12 14 16 17 14 10 6 3 3 8 13 17 18 19 19 20 21 22 19 14 10 9 10 13 15 17 18 18 19 19 16 12 11 11 10 10 9 7 6 5 6 9 12 13 9 6 4 3 3 4 6 9 12 13 12 9 7 5 4 5 6 8 9 10 10 9 7 3 -1 -4 -1 6 13 16 16 12 9 9 9 10 10 8 6 7 8 9 8 4 1 -0 -1 -1 1 7 13 14 13 12 11 9 7 6 8 11 12 11 10 9 8 7 7 6 4 2 1 2 nan
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nan 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 12 12 12 12 11 11 14 21 27 31 30 23 16 13 11 9 8 7 7 10 12 13 15 16 17 16 14 12 11 9 7 7 8 11 15 19 20 17 13 9 6 6 8 9 9 9 9 8 7 5 5 7 9 9 9 8 7 6 5 3 2 1 1 2 2 4 7 10 12 15 17 19 20 21 19 16 12 9 7 7 8 9 9 9 9 8 8 8 7 7 6 6 7 9 15 20 20 17 15 13 11 10 8 6 5 6 7 7 6 4 4 5 7 9 9 9 8 10 11 11 10 10 9 10 11 12 13 13 12 11 10 8 7 5 4 4 5 5 6 7 6 6 7 9 10 10 9 9 11 14 17 15 12 8 4 3 3 4 5 8 10 10 11 13 18 21 nan
nan 7 7 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 8 8 8 9 9 9 10 10 11 11 12 12 12 12 11 12 14 20 27 29 29 23 15 11 10 9 8 8 9 10 11 11 13 14 16 15 14 12 10 9 8 8 10 14 18 17 15 11 8 5 3 3 5 6 7 7 8 9 9 8 8 10 11 12 12 11 10 8 7 6 5 4 3 3 3 4 6 8 11 13 15 16 16 17 19 19 17 13 9 7 7 8 9 10 10 9 9 9 8 8 7 7 7 10 15 19 16 13 12 12 13 12 9 8 7 8 7 7 5 3 2 4 5 7 8 7 7 8 11 12 12 12 12 13 13 11 10 9 8 7 6 5 4 4 5 6 6 6 8 10 10 10 9 10 11 11 10 10 13 15 16 14 11 8 6 6 6 6 7 8 10 10 10 12 16 19 nan
nan 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 11 12 12 12 12 12 14 18 25 30 29 25 17 11 10 10 10 11 11 12 12 12 12 14 15 15 13 11 9 7 7 9 11 16 17 14 9 5 3 2 3 4 6 6 6 8 10 12 13 11 10 9 10 11 11 12 11 10 9 9 8 8 8 7 6 6 6 6 8 10 12 12 11 12 16 19 19 17 12 8 7 8 9 10 10 9 9 8 8 8 8 8 8 10 14 16 15 14 14 15 16 12 8 7 8 8 8 6 4 4 3 4 6 8 9 9 8 8 10 12 13 14 14 14 12 9 7 7 7 7 6 5 4 4 4 5 6 9 12 14 15 14 12 11 11 12 12 13 15 17 18 15 11 8 6 5 6 7 8 10 11 11 11 13 16 17 nan
nan 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 11 11 12 12 12 12 14 19 26 32 33 28 20 13 11 11 12 12 13 13 13 13 14 15 16 17 14 11 8 7 7 8 12 15 17 12 6 1 -1 0 4 7 9 9 9 11 14 16 15 11 8 6 6 7 8 8 9 10 10 10 10 11 12 12 10 8 6 5 6 7 9 9 8 8 11 15 18 19 16 12 9 9 10 10 10 9 8 8 7 8 8 9 9 10 13 16 17 17 17 15 13 9 7 8 10 10 9 6 5 5 7 7 8 9 9 10 9 9 10 12 13 13 13 13 10 8 8 8 9 9 9 8 8 6 4 4 6 9 14 18 18 16 14 12 12 13 14 16 17 17 16 13 10 6 2 1 4 7 9 11 11 11 12 14 15 15 nan
nan 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 11 11 11 12 12 12 14 20 27 33 35 29 22 16 13 11 11 11 12 13 13 14 16 17 18 18 16 13 10 7 7 9 12 16 18 14 8 2 -1 -1 3 7 11 12 13 14 17 19 17 13 9 8 7 7 7 6 7 7 8 8 9 10 12 13 13 12 10 9 8 9 10 10 8 7 7 10 14 17 17 15 12 11 10 10 10 9 8 8 8 9 9 10 11 12 13 14 14 14 12 9 8 8 9 11 12 11 10 8 7 9 11 11 10 8 6 5 6 7 9 10 11 12 11 11 10 10 10 10 10 10 11 12 11 8 6 5 6 9 12 15 15 15 15 14 15 17 19 20 18 15 12 8 5 1 -1 -0 3 7 9 10 10 10 11 13 14 14 nan
nan 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 8 8 8 8 8 9 9 9 9 10 10 10 11 11 11 12 12 14 20 27 31 33 29 21 16 13 11 9 9 10 10 12 14 16 17 18 18 17 14 11 9 8 9 12 17 18 17 12 6 2 1 3 8 12 13 13 14 16 18 17 15 13 13 12 11 9 7 6 5 5 5 6 8 10 12 14 15 15 15 14 12 12 11 10 8 7 7 11 15 16 15 13 12 11 11 11 9 8 8 9 10 11 11 12 12 12 11 10 8 7 7 9 11 13 13 11 9 8 9 12 13 14 13 10 7 3 1 2 4 5 7 8 9 8 8 9 10 11 11 11 13 15 16 14 11 8 7 7 9 11 11 13 14 16 18 19 22 24 24 20 14 8 3 -1 -2 -0 3 7 10 10 10 9 10 11 12 13 13 nan
nan 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 8 8 8 8 8 9 9 9 9 10 10 10 10 11 11 12 12 14 18 25 30 31 28 20 13 11 10 8 8 8 9 9 11 13 15 16 15 14 13 12 10 9 9 12 16 18 17 14 10 7 6 7 10 12 11 10 10 11 12 13 13 13 14 15 14 12 9 7 5 4 4 6 8 10 13 14 16 18 17 15 12 9 8 8 9 10 9 10 12 13 13 12 11 11 12 11 10 9 9 10 10 11 12 12 11 11 10 9 9 9 11 14 14 14 12 9 7 8 11 14 14 13 11 9 6 3 1 1 3 5 6 6 6 5 5 7 8 9 9 10 13 16 18 15 12 9 8 8 9 11 14 17 20 22 22 21 22 22 22 19 13 5 -1 -6 -5 1 6 10 13 13 12 11 11 12 12 12 12 nan
nan 7 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 12 12 14 17 22 28 30 27 19 12 10 11 11 11 9 8 8 9 11 12 12 12 11 10 10 10 10 11 12 15 17 16 13 11 9 8 10 12 12 9 7 5 4 6 7 7 8 9 11 12 13 12 9 7 5 5 7 10 13 14 14 14 14 13 10 7 4 4 5 8 10 11 11 11 12 11 11 10 10 10 11 10 10 10 10 11 11 11 11 10 10 10 11 12 14 17 17 14 12 10 9 10 12 15 16 13 10 9 8 7 4 3 4 7 9 9 7 4 3 5 6 8 8 7 7 8 11 14 13 10 7 5 5 7 11 17 22 25 25 23 18 16 15 15 13 9 3 -4 -7 -5 1 6 10 13 14 13 12 12 12 12 11 11 nan
nan 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 11 12 12 14 17 21 27 30 27 20 15 13 14 14 14 13 11 9 8 9 9 9 9 8 8 9 10 11 12 13 15 16 15 13 11 9 9 11 12 11 8 5 3 3 4 5 4 4 4 6 9 10 10 9 7 7 8 10 14 17 16 13 10 7 6 4 3 2 4 5 6 8 9 10 10 10 10 9 8 7 8 9 10 10 11 11 11 12 11 10 9 10 10 12 14 16 18 16 12 9 8 10 13 17 19 18 15 11 9 9 8 6 6 9 12 14 13 9 4 4 7 9 9 9 6 4 3 5 8 9 7 4 2 1 3 9 15 21 24 22 18 12 9 8 7 7 5 0 -4 -6 -3 3 7 10 12 12 11 11 11 11 12 12 11 nan
nan 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 12 12 13 16 20 25 30 29 22 18 15 14 15 15 14 13 11 10 9 9 9 9 8 7 7 8 9 11 12 14 15 15 14 11 9 8 10 11 9 7 5 3 4 6 6 5 4 5 5 6 6 5 6 7 8 11 14 18 19 16 11 6 3 1 1 3 5 7 7 7 7 7 7 8 8 8 7 6 6 7 9 10 10 11 12 12 12 12 11 11 11 12 13 14 15 15 12 9 8 8 10 13 17 21 22 20 15 12 10 10 10 10 12 13 13 10 6 4 6 9 11 11 10 7 4 1 1 3 5 6 6 5 3 2 5 9 14 16 15 12 7 3 3 3 4 4 1 -1 -1 2 7 11 12 12 11 9 9 10 11 12 13 12 nan
nan 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 12 12 12 14 20 26 30 31 24 18 14 13 12 12 12 11 10 10 11 12 13 12 10 7 6 6 6 8 9 11 14 15 15 13 10 9 9 9 9 8 6 5 6 7 7 6 6 7 7 7 5 3 5 7 10 13 16 18 18 13 7 3 1 3 5 7 9 9 9 8 7 6 6 7 8 8 8 9 9 10 11 11 11 12 12 13 13 13 12 12 12 12 13 13 13 12 12 11 11 10 10 10 13 18 21 22 21 17 15 13 13 12 11 9 7 3 1 2 6 11 14 14 13 10 5 1 0 2 6 10 11 10 7 4 4 6 8 10 11 9 5 2 1 2 4 5 5 5 7 10 13 15 15 13 10 8 8 9 10 12 13 13 nan
nan 6 6 6 6 7 7 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 8 8 9 9 9 9 10 10 11 12 12 12 13 18 25 29 31 25 17 13 11 10 10 10 8 8 10 13 15 17 17 13 8 5 4 3 4 6 9 13 16 16 15 13 10 9 9 9 9 9 8 8 8 8 7 8 10 11 10 7 5 6 7 9 11 13 15 14 10 5 4 5 10 15 15 13 10 7 6 6 6 7 8 9 10 10 11 11 11 11 11 11 12 12 13 13 12 11 11 11 10 10 10 10 12 14 15 14 10 8 7 8 10 14 17 20 19 16 12 10 9 8 5 3 1 0 2 6 10 14 17 16 13 6 1 0 2 6 10 13 13 12 10 8 8 8 10 10 9 6 4 3 4 5 6 8 9 12 15 17 18 16 12 9 7 7 7 8 10 13 14 nan
nan 6 6 6 6 7 7 7 7 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 9 9 9 9 10 11 11 12 12 12 13 16 22 28 29 24 17 12 9 9 8 8 8 8 10 15 18 20 19 15 9 6 4 3 3 4 8 13 17 18 17 16 13 11 11 12 12 12 12 11 10 8 8 9 11 13 13 12 9 8 8 9 10 11 11 10 8 7 8 11 15 19 19 15 11 7 5 5 8 11 11 10 9 9 9 9 9 9 10 10 11 11 11 11 11 10 9 9 8 7 7 8 11 14 16 15 10 5 4 4 4 6 9 13 15 12 6 3 4 6 7 6 5 3 3 6 9 14 18 17 12 5 -1 -1 1 3 5 8 12 14 13 11 10 10 10 10 9 8 6 6 6 6 7 8 11 14 16 17 17 14 11 9 8 6 6 7 8 12 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
21 24 24 25 24 21 16 12 12 12 12 14 17 18 18 18 16 12 9 10 13 15 15 16 15 14 13 12 12 12 11 9 7 8 9 9 9 8 6 6 6 7 7 7 7 6 6 6 4 4 5 4 4 5 7 7 8 8 7 6 6 6 5 6 8 9 10 10 11 11 11 10 8 8 7 6 6 6 6 6 6 6 8 6 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 31 326 317 409 676 995 1067 843 881 929 695 359 222 304 355 286 215 193 186 206 235 260 285 317 379 431 454 454 461 502 566 590 519 516 509 627 834 954 908 873 826 934 1024 1004 901 799 751 747 724 627 350 136 44 13 3 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
31 32 27 25 20 17 16 14 13 13 15 17 21 25 27 26 23 20 15 13 14 16 16 16 16 13 11 9 8 9 10 7 7 7 8 8 7 7 6 6 7 8 8 7 6 4 6 10 10 7 5 4 4 5 6 6 7 8 8 8 8 7 7 8 9 10 10 11 11 10 10 9 8 8 7 6 6 6 6 6 6 6 7 6 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15 48 129 228 255 197 189 242 242 183 163 197 212 169 130 115 110 126 163 203 238 272 311 361 404 422 445 502 571 596 568 636 549 646 826 952 958 893 822 910 1064 1067 974 899 872 842 755 605 285 73 14 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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