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 6 5 5 6 7 7 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 10 10 9 9 9 9 9 10 11 11 9 5 5 8 12 15 16 12 6 1 -1 1 5 8 10 10 8 6 4 5 6 7 9 10 11 12 11 10 9 9 10 10 10 11 13 15 14 12 10 8 8 9 8 7 5 4 4 5 6 6 7 7 6 5 6 8 10 10 10 10 9 7 6 5 5 6 4 3 4 4 5 6 6 7 8 8 8 8 8 9 10 10 9 7 6 7 8 9 9 8 8 nan
nan 8 8 7 7 7 7 8 8 8 8 8 7 8 9 9 10 9 9 9 8 8 8 8 8 8 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 7 7 8 8 9 9 8 8 8 8 8 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 7 8 8 9 10 10 10 10 9 9 9 9 10 10 9 7 5 5 8 12 15 15 11 6 3 2 4 7 10 10 9 8 6 5 6 6 7 9 10 12 13 13 11 9 8 8 9 10 11 12 13 13 12 11 10 8 7 5 4 4 4 6 6 7 7 7 7 6 6 8 9 11 12 12 12 11 10 9 9 8 6 4 3 4 5 6 6 6 7 7 8 8 8 9 10 10 10 9 7 5 6 7 8 9 9 10 nan
nan 8 8 8 9 8 8 9 9 9 8 8 7 7 8 9 9 9 9 9 8 8 8 8 8 8 7 7 7 6 6 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 8 8 7 7 7 7 8 8 8 9 9 9 9 8 9 8 7 6 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 8 8 9 10 10 10 10 9 9 9 9 9 8 7 6 6 6 7 10 14 15 11 7 4 4 6 9 10 10 9 8 7 7 7 7 8 9 10 12 13 12 10 8 7 7 8 9 9 10 11 12 13 12 11 8 5 4 4 5 6 7 8 8 8 8 9 9 9 9 10 11 12 13 14 14 13 12 11 8 6 4 5 6 7 7 7 7 7 8 9 9 10 10 11 11 11 10 8 6 6 7 8 9 11 13 nan
nan 7 8 9 9 9 9 9 9 9 9 8 7 7 7 7 8 9 9 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 9 8 8 9 8 7 6 6 7 8 8 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 8 9 9 10 10 10 10 10 9 9 8 7 6 7 8 8 7 5 8 12 14 11 8 6 6 7 9 10 10 9 8 8 8 8 8 8 9 9 9 9 8 7 6 6 7 7 7 8 8 10 11 12 12 10 8 5 4 5 6 7 8 8 8 8 10 12 13 12 10 9 9 10 13 15 16 13 10 8 6 6 6 8 8 8 8 7 7 7 8 9 10 12 12 13 12 12 10 8 8 9 9 9 10 13 14 nan
nan 7 8 9 9 9 9 9 9 9 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 7 7 8 8 8 7 7 6 6 6 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 7 7 7 6 7 7 7 7 8 8 8 9 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 8 6 5 5 7 10 10 8 6 6 9 11 10 7 6 6 7 9 9 9 8 8 8 8 8 8 8 8 7 6 5 5 5 5 5 6 6 6 6 7 7 9 10 10 9 7 6 5 6 7 8 8 8 7 8 9 12 12 10 9 8 8 9 12 14 13 8 4 3 4 6 8 8 9 9 9 8 6 6 7 8 10 11 13 13 14 13 12 11 11 12 11 9 10 11 11 nan
nan 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 7 8 8 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 9 6 4 4 7 11 13 12 9 7 6 7 7 6 5 6 6 7 8 8 8 8 8 8 7 8 7 7 6 5 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 5 5 5 6 7 8 8 8 7 7 8 9 9 7 7 6 7 8 11 11 8 1 -2 1 5 7 7 8 8 8 8 7 6 5 5 6 7 10 12 14 15 15 14 14 13 13 11 9 8 8 8 nan
nan 9 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 7 7 8 9 10 10 9 8 8 7 7 6 6 7 7 7 8 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 9 7 5 4 7 12 16 16 12 7 5 4 5 6 6 6 6 6 7 8 9 9 8 7 7 8 8 8 7 6 5 5 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 5 6 7 8 8 8 8 7 8 8 7 6 6 5 6 8 10 9 5 -0 -0 3 6 7 7 7 7 7 8 8 7 5 4 4 6 9 13 15 17 19 19 17 15 12 9 7 7 7 6 nan
nan 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 9 9 9 8 8 8 8 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 8 9 10 10 9 8 8 7 7 6 6 6 6 6 7 7 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 7 6 7 11 17 17 12 7 5 5 6 7 8 8 7 7 8 9 11 11 9 8 8 8 9 10 11 10 8 6 5 5 5 5 5 5 5 5 5 4 4 4 3 3 4 5 7 8 9 9 8 8 7 7 7 6 6 5 5 5 8 9 8 6 4 5 7 8 8 7 6 6 8 9 10 8 6 4 4 6 10 14 17 20 23 23 20 15 11 7 6 5 6 6 nan
nan 8 8 8 8 8 8 9 9 9 9 9 8 8 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 7 7 7 7 7 8 8 8 7 6 6 6 6 7 7 7 7 6 6 6 6 7 6 6 7 8 8 9 9 9 9 8 7 6 6 6 7 7 5 5 5 6 7 7 8 8 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 10 9 9 9 9 7 7 10 13 14 11 8 6 6 7 8 9 10 10 10 10 11 12 11 9 8 8 9 11 13 15 14 11 8 6 6 6 6 7 7 7 6 5 5 5 4 4 4 5 6 8 9 9 8 8 8 8 8 8 7 6 5 5 6 8 9 8 7 7 9 11 12 11 8 6 6 8 11 12 10 7 5 5 7 10 13 15 18 21 22 19 15 11 7 5 5 5 6 nan
nan 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 8 7 7 7 7 7 7 8 8 7 7 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 7 8 8 9 9 8 8 7 6 6 6 7 7 6 4 3 4 5 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 10 11 10 8 7 8 9 9 8 7 6 6 7 8 10 10 11 12 12 13 12 9 7 7 7 9 13 16 18 17 14 10 8 7 8 8 8 9 8 7 6 6 6 6 6 6 6 7 8 8 8 8 7 7 8 9 11 11 10 8 7 7 7 7 7 7 8 11 14 15 13 9 7 7 9 11 12 11 10 8 8 7 8 9 10 11 14 16 16 14 11 9 7 5 5 6 nan
nan 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 9 8 8 8 7 7 7 8 7 8 7 7 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 7 7 8 8 8 8 8 8 6 5 5 6 6 5 4 3 3 5 7 7 8 7 7 7 7 7 7 7 7 8 8 9 8 8 9 9 9 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 11 10 10 10 11 10 8 8 8 7 5 5 5 4 4 4 6 8 10 11 13 15 14 11 7 5 5 7 9 12 16 19 18 15 11 9 9 10 10 10 10 9 8 7 6 6 6 7 7 8 8 7 7 7 7 7 7 8 11 14 16 15 12 8 6 5 5 6 7 9 11 14 16 15 12 10 8 8 9 11 12 13 13 10 7 7 7 6 6 8 11 12 12 12 12 11 8 5 6 nan
nan 10 10 10 10 10 10 10 10 10 10 10 11 11 12 11 11 10 10 10 10 10 10 10 10 9 9 9 8 8 8 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 8 8 9 9 9 8 6 5 5 5 5 5 4 5 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 10 10 10 10 10 10 11 11 12 13 14 14 14 14 14 13 12 11 10 10 10 8 8 9 9 7 5 5 5 4 2 2 4 7 9 12 15 16 14 9 5 3 3 5 7 9 13 16 16 13 9 7 8 9 10 10 10 9 8 7 6 6 6 7 8 9 8 6 5 5 6 7 7 9 12 15 17 16 12 8 4 3 4 6 8 9 11 14 16 17 16 13 10 8 8 11 13 15 14 10 6 6 6 6 6 7 8 10 10 12 13 13 11 8 6 nan
nan 11 11 11 10 10 10 10 10 11 11 11 11 12 12 11 11 11 11 10 10 10 10 10 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 8 9 10 10 9 8 6 5 4 5 5 5 5 7 8 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 10 10 10 10 11 11 11 11 11 11 12 13 14 14 15 14 12 11 10 10 9 7 6 7 10 10 9 8 8 6 3 1 0 3 6 10 14 17 17 13 7 4 3 2 3 4 6 8 10 10 8 5 5 6 7 8 9 9 8 8 8 7 7 7 8 9 9 8 5 3 3 5 7 9 10 11 12 11 10 8 6 4 3 5 7 8 9 11 14 18 19 17 12 9 7 9 10 11 12 12 9 6 6 7 7 6 6 7 8 9 9 11 12 12 10 8 nan
nan 11 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 10 10 10 9 9 9 8 8 8 8 8 7 7 7 7 8 7 7 7 7 7 8 8 7 7 7 7 7 7 6 6 6 6 6 7 8 9 10 10 10 9 8 7 7 7 6 5 5 7 8 9 9 8 8 8 8 7 7 7 7 8 8 8 9 9 9 9 10 10 10 11 11 12 12 12 12 12 11 10 10 11 11 12 12 11 10 9 8 9 7 5 4 6 10 12 12 9 6 3 1 1 2 5 10 14 17 17 14 10 6 4 3 3 2 2 4 5 6 6 4 4 4 5 7 8 9 9 9 9 9 9 9 9 9 8 8 7 5 3 2 5 7 8 9 9 8 6 6 7 8 7 6 7 8 9 10 13 17 20 18 13 7 5 7 10 10 8 7 7 8 8 8 8 7 6 5 5 6 7 8 8 8 10 10 9 nan
nan 10 10 9 9 9 10 11 12 13 13 12 12 11 11 11 11 11 11 10 10 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 7 7 7 8 9 9 9 9 8 8 8 9 10 9 8 7 7 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 10 10 11 11 11 12 13 14 14 14 14 13 12 11 11 11 12 11 10 7 5 5 7 9 8 3 0 2 8 11 10 5 -0 -1 1 5 9 12 15 17 16 14 10 7 6 5 5 4 3 2 3 4 5 5 5 5 6 7 8 10 12 12 11 11 10 10 10 9 7 7 6 6 5 4 4 5 7 8 8 7 6 5 7 10 12 11 9 8 8 9 11 15 19 20 16 9 3 2 6 10 10 7 5 5 6 7 7 8 8 7 6 5 5 7 7 6 6 7 9 9 nan
nan 10 10 9 9 9 10 11 12 13 13 12 11 11 11 12 12 11 10 10 9 9 9 8 8 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 7 7 7 8 8 9 9 9 8 8 8 9 10 11 11 10 9 8 7 6 7 7 8 8 8 8 8 7 8 9 9 9 10 10 11 12 13 13 14 14 15 15 15 15 14 14 13 13 13 14 14 12 7 2 0 1 5 8 9 4 -3 -3 3 7 5 -0 -3 -0 6 12 16 18 17 14 10 7 6 6 7 8 7 6 4 4 4 4 5 5 6 7 8 9 11 13 15 16 15 13 12 10 8 6 5 5 6 7 7 6 6 7 9 9 8 6 6 6 8 11 13 11 8 7 7 9 13 16 17 15 10 4 -1 -1 4 8 10 8 7 6 6 6 6 6 8 9 8 7 6 7 6 5 5 6 7 8 nan
nan 10 10 10 10 10 10 10 11 12 12 11 11 11 12 12 11 11 10 9 9 9 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 7 7 8 8 9 9 8 8 8 9 9 10 10 10 10 9 7 6 5 6 7 8 8 8 8 8 8 9 9 9 10 11 13 14 14 14 14 15 15 15 15 16 17 17 17 16 15 14 15 14 10 4 -1 -3 -2 1 5 7 5 -1 -3 1 2 1 -0 2 7 13 18 20 18 14 9 5 5 7 9 10 10 9 8 6 5 4 4 5 5 5 6 8 10 12 14 15 16 16 14 12 9 6 4 4 5 8 11 11 11 10 10 11 12 11 9 9 8 8 9 10 9 7 7 8 11 14 15 13 8 3 -1 -2 -1 3 7 9 9 9 8 8 7 6 6 8 9 10 9 7 6 5 5 4 4 5 6 nan
nan 10 10 10 10 10 10 10 10 10 11 11 11 12 11 11 10 10 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 7 7 7 8 8 9 8 8 8 9 9 9 9 9 8 8 7 6 5 5 6 7 8 9 9 9 9 9 9 9 9 10 11 13 13 13 13 13 13 12 13 15 17 20 22 22 20 17 15 15 13 9 5 1 -1 -1 1 4 7 8 7 4 3 3 4 6 10 14 18 19 18 15 11 8 8 9 11 13 13 12 11 9 7 5 5 5 5 5 5 6 7 8 9 11 12 13 14 13 12 9 6 4 5 8 12 14 16 15 14 12 12 13 14 14 13 11 8 7 8 8 8 8 11 13 14 13 9 4 0 -1 -0 1 3 6 7 7 8 8 8 8 7 7 8 9 9 9 7 5 4 4 5 5 5 5 nan
nan 10 10 11 10 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 8 8 9 9 8 7 7 7 7 7 7 6 5 5 6 5 5 5 7 8 9 9 9 8 9 9 9 9 10 11 11 10 10 10 10 9 9 10 13 15 18 21 24 24 22 18 16 15 13 10 8 7 7 7 6 8 10 12 13 11 9 9 11 14 17 18 17 15 13 12 12 12 12 13 14 15 14 13 11 9 7 6 6 6 6 6 6 5 5 5 5 6 8 10 11 12 13 11 8 6 6 9 13 15 17 17 16 13 11 12 14 17 16 13 9 6 7 8 9 10 11 13 12 11 7 4 2 1 1 2 3 4 5 5 5 5 6 6 7 8 9 9 9 9 8 5 4 4 5 6 7 7 nan
nan 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 8 9 10 10 10 9 7 6 4 4 4 4 4 4 4 4 4 4 5 6 8 9 9 9 8 8 9 9 9 10 12 13 14 13 13 12 11 10 11 14 16 16 16 17 19 19 17 14 12 11 10 9 10 12 14 14 13 12 12 13 15 14 13 13 14 16 18 16 14 11 9 10 12 13 12 11 12 14 13 11 9 8 7 7 8 8 8 8 7 7 5 4 4 4 6 8 10 12 14 14 10 6 5 8 11 13 15 17 16 13 11 11 14 16 16 11 7 5 5 6 8 9 10 10 10 8 7 5 4 3 3 3 3 3 4 4 3 3 4 5 6 8 10 10 10 11 10 8 5 4 5 7 8 9 nan
nan 10 10 10 10 10 10 10 11 11 11 12 12 11 11 10 10 10 10 10 10 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 6 6 6 7 8 8 9 11 12 13 12 10 7 4 2 2 2 3 3 4 4 4 4 5 6 8 9 10 9 9 9 9 9 9 11 13 17 21 22 23 22 20 19 17 17 19 20 18 15 13 13 13 11 8 5 4 4 6 10 14 17 17 15 13 12 13 16 16 13 11 11 11 12 11 9 7 7 7 9 10 9 8 9 10 10 8 6 6 7 8 9 10 10 9 9 8 7 6 5 4 5 8 11 14 15 15 9 3 2 5 9 11 13 16 17 15 12 11 12 13 11 7 4 3 4 5 6 7 8 8 8 7 6 6 5 5 5 5 5 5 5 5 5 4 5 5 6 8 10 10 11 12 12 10 7 6 6 7 8 8 nan
nan 10 10 10 10 10 10 10 11 11 11 12 12 12 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 6 6 6 6 7 8 9 10 11 12 13 13 11 9 7 5 3 2 2 3 4 5 5 6 6 7 8 9 9 10 10 10 10 10 9 10 14 19 25 30 31 29 26 24 22 21 19 20 19 17 14 12 12 12 9 5 2 0 2 6 12 16 18 18 15 14 14 17 19 16 11 7 6 7 6 6 5 4 4 5 7 10 11 9 7 6 5 4 4 4 5 7 9 10 11 11 10 10 9 8 7 6 5 7 10 15 17 16 9 1 0 4 8 11 13 16 19 18 14 12 10 8 6 3 2 2 3 4 5 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 8 8 9 10 11 12 13 13 11 8 7 6 7 6 6 nan
nan 10 10 10 10 10 11 11 11 12 12 12 12 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 5 4 4 5 7 9 10 10 11 11 11 11 9 8 7 6 5 4 4 4 5 6 6 7 8 8 9 9 10 10 10 10 11 10 10 13 17 23 27 30 30 26 21 20 19 17 16 15 14 13 12 12 13 12 10 6 2 1 5 11 17 20 20 17 15 15 16 18 17 13 8 7 7 6 5 4 2 2 2 4 8 13 16 13 7 3 2 2 3 4 4 6 8 9 10 11 12 12 12 11 9 7 6 6 9 15 20 19 12 4 2 4 7 10 14 17 19 17 13 9 6 4 2 2 2 3 3 4 4 5 5 6 6 7 9 10 10 10 10 10 10 11 10 10 10 10 10 9 9 10 11 12 13 15 15 13 9 7 7 6 6 5 nan
nan 10 10 10 11 11 11 12 12 12 13 12 12 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 8 8 8 8 7 6 4 3 3 5 7 8 9 9 8 8 7 7 7 7 6 6 6 6 6 6 7 7 8 9 9 9 10 10 10 11 11 11 11 12 14 17 19 21 21 21 18 16 14 13 12 11 10 9 8 9 10 12 13 12 10 7 7 11 17 20 21 18 16 15 15 15 15 12 9 8 8 9 8 6 4 2 1 2 5 9 13 16 13 7 3 2 3 4 5 6 8 9 10 10 11 13 14 14 13 10 8 6 6 8 14 19 19 14 8 5 5 7 10 13 15 15 12 7 4 2 1 1 2 3 4 5 5 5 5 6 6 8 9 10 11 12 12 12 12 12 11 11 11 11 11 11 10 9 9 10 11 13 15 15 13 10 8 7 6 6 6 nan
nan 10 10 11 11 11 12 12 12 12 12 12 11 10 10 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 8 8 7 5 4 4 4 5 6 7 7 6 5 5 6 6 6 6 7 7 7 7 7 7 8 9 9 10 10 10 10 11 12 12 12 12 12 13 13 12 12 13 14 13 11 10 9 9 10 9 9 9 10 11 12 14 14 14 13 13 16 19 19 17 15 14 14 14 13 11 9 8 9 9 9 9 8 5 3 2 2 3 5 7 9 8 6 3 3 4 6 8 11 13 14 13 12 13 15 16 16 13 10 8 7 7 7 9 12 12 11 9 7 6 7 9 11 12 10 5 2 1 1 1 2 3 5 5 6 6 7 7 8 9 9 11 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 11 12 13 14 11 8 7 6 7 7 nan
nan 10 11 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 7 6 6 5 5 5 5 5 5 4 4 5 6 6 6 6 6 7 7 8 8 9 9 10 10 10 10 11 11 12 12 12 12 12 11 10 8 8 10 11 10 7 5 4 6 9 11 13 14 14 13 12 12 14 14 14 15 16 17 16 14 13 12 12 12 11 11 9 9 8 8 8 8 8 7 6 6 5 4 2 1 2 3 4 4 5 7 9 13 17 21 22 19 16 17 19 19 16 12 10 10 10 8 6 4 5 8 8 8 7 6 6 8 9 9 5 1 0 1 2 3 4 5 6 7 8 9 9 10 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 10 10 10 12 13 12 8 6 5 6 6 nan
nan 11 11 11 11 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 7 7 7 6 5 5 5 4 4 4 5 6 6 6 6 6 7 8 9 9 10 10 10 10 11 11 11 12 12 12 12 12 12 11 9 8 8 8 9 7 3 1 1 4 8 11 15 17 16 13 10 9 10 10 10 11 12 13 12 11 10 9 9 9 9 9 8 7 7 6 6 7 8 9 11 13 13 11 5 0 0 2 3 5 7 9 11 16 22 26 26 23 20 20 20 19 16 14 14 15 15 11 6 3 5 10 12 10 7 4 4 5 6 5 2 0 0 2 4 5 6 7 8 10 11 12 13 14 15 15 14 13 12 10 9 9 10 11 11 12 12 12 12 13 13 13 13 14 14 14 12 11 10 11 11 8 5 4 5 6 nan
nan 11 11 11 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 8 8 8 8 7 6 6 5 5 4 5 5 6 6 7 7 7 8 9 9 9 10 10 10 10 11 12 12 12 12 13 13 13 14 13 11 9 8 8 7 5 2 -0 1 5 9 11 13 14 13 11 8 7 6 5 5 6 8 10 10 9 7 7 7 7 7 7 7 6 6 6 6 7 8 11 16 20 21 17 10 4 1 2 3 5 7 9 12 16 22 25 24 21 19 19 18 17 17 18 20 21 18 12 6 5 8 15 19 18 13 7 4 2 1 0 0 0 1 3 5 7 8 9 11 12 14 15 16 17 18 17 16 15 13 11 10 10 10 11 12 13 13 13 13 13 12 11 11 14 18 18 14 9 5 4 7 8 6 5 6 7 nan
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nan 11 11 11 12 12 11 11 11 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 9 10 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 7 6 6 6 6 6 7 7 8 9 10 10 9 9 9 10 11 11 11 12 12 13 13 14 15 17 17 15 11 8 5 4 3 2 2 4 5 6 9 12 14 15 13 11 11 11 8 4 1 1 5 9 12 13 12 11 9 8 7 6 6 5 4 3 4 6 11 17 21 22 18 13 9 6 4 3 3 3 5 7 9 12 15 16 14 11 10 11 12 15 17 18 18 15 11 8 6 8 11 17 23 28 28 22 13 5 1 -1 1 3 4 7 11 13 14 14 14 14 14 13 12 11 12 14 15 15 15 14 12 10 9 10 12 13 13 12 10 8 5 5 7 10 12 11 5 -0 -2 0 4 7 8 10 11 11 nan
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nan 5 5 4 4 5 5 5 5 5 4 5 5 6 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 8 9 9 9 8 8 8 9 9 9 9 10 11 12 14 17 23 29 32 29 20 12 7 4 5 6 8 10 12 14 15 15 16 17 18 20 20 17 12 8 6 6 9 14 18 18 15 12 9 8 8 8 8 8 8 9 9 10 11 11 10 9 7 6 6 6 6 6 6 6 6 6 6 5 4 3 3 4 5 7 8 9 10 12 13 14 15 15 14 12 12 11 11 10 11 10 10 9 9 10 11 12 12 11 10 10 11 13 14 15 15 13 12 10 8 6 4 1 0 1 4 7 10 12 13 13 12 11 11 11 9 8 6 6 7 9 11 12 12 10 8 7 10 14 16 17 16 15 14 13 12 12 12 12 11 10 9 8 8 9 9 10 10 10 10 9 7 5 4 4 4 4 4 4 6 nan
nan 5 5 5 5 5 5 5 5 5 4 5 5 6 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 14 16 22 28 29 27 18 9 5 4 5 6 8 10 12 14 15 16 16 17 18 18 16 13 9 6 4 4 7 11 14 14 13 10 8 7 8 8 8 7 7 8 9 10 11 12 11 9 8 8 8 8 9 10 10 9 8 7 6 5 4 4 3 4 5 6 7 7 7 9 11 14 16 16 15 13 11 10 10 11 12 13 13 13 12 12 11 11 9 8 7 7 9 11 13 14 14 13 11 10 8 6 5 4 3 3 5 8 10 12 13 12 12 12 12 11 10 8 7 7 7 9 12 14 13 11 9 9 11 14 14 14 13 13 14 15 14 13 12 12 11 10 9 8 8 9 11 11 10 8 7 6 6 7 8 10 10 8 6 6 7 nan
nan 5 5 5 5 5 5 6 6 5 4 5 5 6 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 10 10 11 12 13 16 22 28 30 26 19 9 4 5 6 8 9 11 13 15 16 16 17 17 17 16 12 8 5 3 2 2 4 8 13 14 13 11 9 9 10 11 10 10 10 10 10 11 12 11 10 9 8 8 9 10 12 13 12 12 11 9 8 7 6 5 5 5 5 6 5 4 3 4 7 10 13 15 14 13 11 11 11 11 13 14 15 15 14 13 12 11 10 7 5 4 5 7 10 11 13 13 13 12 11 10 9 9 8 8 8 9 11 11 11 11 11 12 11 11 10 8 7 7 7 9 12 13 13 12 11 11 13 13 12 11 11 13 15 15 15 14 13 12 11 9 8 7 8 10 12 12 10 7 5 6 8 11 13 15 15 12 9 8 8 nan
nan 5 5 5 5 5 6 6 6 5 5 5 6 6 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 10 10 10 11 11 12 16 22 29 33 30 22 12 6 6 7 9 10 12 15 17 18 18 18 17 16 14 10 7 4 1 0 1 4 9 14 17 18 17 15 13 14 15 16 15 14 13 12 12 11 10 9 9 8 9 10 11 12 13 12 12 11 10 10 9 8 7 7 7 7 6 5 3 1 1 3 6 9 12 13 13 12 11 11 12 13 14 13 13 13 13 13 13 12 9 7 5 4 5 7 10 13 15 16 16 16 15 14 14 13 13 11 11 10 10 10 10 10 10 11 10 10 9 8 7 7 8 10 11 13 13 14 16 15 13 11 10 11 12 13 14 14 13 13 13 11 10 8 7 8 9 10 10 7 4 5 8 12 14 16 17 17 15 12 10 9 nan
nan 6 5 5 5 5 6 6 6 5 5 6 6 6 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 12 16 22 29 35 34 26 16 8 6 8 9 11 13 16 18 19 19 18 16 15 13 10 7 4 2 1 2 6 12 16 19 20 19 17 15 16 18 19 19 18 16 14 12 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 7 7 5 3 2 4 7 10 12 12 12 11 11 12 13 13 11 10 10 11 13 14 14 12 11 10 8 7 8 10 13 16 16 17 17 17 16 16 16 14 13 11 10 9 8 8 9 9 10 10 10 9 8 7 7 7 9 11 13 16 18 19 18 15 12 10 10 11 11 11 11 12 13 13 12 11 9 8 8 7 7 5 2 2 6 12 15 15 14 14 14 14 13 12 10 nan
nan 7 6 6 5 5 6 5 5 5 5 6 6 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 12 15 22 29 34 34 27 16 9 6 7 8 10 12 15 18 19 19 18 16 14 12 11 8 5 3 1 3 7 13 16 18 18 17 15 14 15 18 19 19 18 16 13 11 11 12 13 14 13 12 10 9 8 7 7 8 9 10 11 11 12 11 10 8 7 7 9 11 10 8 6 5 6 8 10 11 11 11 11 12 13 13 11 9 8 9 11 13 14 14 14 13 12 11 10 11 12 13 13 15 16 17 17 16 15 13 11 9 8 7 7 8 9 10 10 10 10 9 9 9 8 8 8 10 13 17 19 19 18 15 11 9 8 9 9 8 9 10 12 12 12 12 11 10 8 6 3 1 1 6 11 15 16 13 10 9 10 12 12 12 11 nan
nan 7 7 6 6 6 6 5 5 5 5 5 6 6 7 7 7 7 7 8 8 9 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 12 14 20 28 32 32 26 14 7 5 5 7 8 11 14 16 18 18 18 17 15 13 11 9 6 3 1 2 6 11 14 15 15 14 13 14 16 19 19 18 16 13 12 11 10 11 13 14 14 13 10 8 7 6 7 8 9 10 11 10 10 9 8 5 4 5 8 11 13 12 11 8 7 7 9 10 10 10 10 11 13 13 12 10 8 8 9 12 14 15 14 13 12 11 11 10 10 10 11 13 15 16 16 15 14 12 11 9 8 8 9 10 12 13 12 12 10 10 11 12 12 11 10 10 10 13 15 15 13 11 8 6 7 8 8 8 8 9 10 11 11 11 11 10 7 3 -0 -1 3 11 16 17 16 11 8 7 9 11 12 12 11 nan
nan 8 8 7 7 6 6 5 5 4 4 4 5 6 6 7 7 7 7 8 8 8 9 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 12 14 19 26 31 31 25 13 5 4 5 7 9 11 14 16 17 18 19 18 17 14 11 8 6 3 1 2 4 8 11 12 13 12 12 14 16 19 20 18 15 12 11 11 11 11 10 11 12 12 11 9 8 9 9 11 12 11 10 9 8 6 5 2 2 4 6 9 12 13 12 11 9 8 9 10 11 11 11 12 14 14 13 11 9 8 9 11 14 15 14 13 11 9 8 9 9 10 10 11 11 11 11 12 12 12 12 11 9 9 10 13 15 16 15 13 11 11 14 16 16 15 12 10 8 7 9 9 8 6 4 3 6 10 13 13 12 10 10 8 8 8 8 7 4 0 -1 1 7 13 16 16 14 11 9 10 10 12 12 12 11 nan
nan 9 9 9 8 7 6 6 5 4 4 4 4 5 6 7 7 7 7 8 8 8 9 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 14 19 24 30 31 24 14 7 5 7 9 10 13 15 17 18 20 21 21 19 15 11 8 5 3 1 1 3 7 10 12 12 12 11 12 14 15 16 16 15 14 14 15 15 14 12 10 10 11 11 11 12 14 16 17 17 14 10 8 6 4 2 1 3 6 8 9 10 11 11 10 9 8 9 9 10 11 12 13 14 14 14 12 10 9 9 11 13 14 13 12 10 9 7 7 9 10 10 9 8 6 6 8 10 11 12 11 10 10 11 13 14 14 13 11 10 12 15 16 17 16 14 11 8 5 5 6 6 5 4 3 8 15 20 21 17 12 9 6 5 5 5 4 3 0 1 6 11 14 15 14 13 12 12 12 11 11 11 11 11 nan
nan 10 10 10 9 8 7 6 5 4 3 3 3 4 5 6 7 7 7 7 8 8 8 9 9 8 8 9 9 9 9 9 10 10 10 10 10 9 10 10 11 11 11 11 13 18 24 29 31 26 16 10 7 8 10 12 14 16 19 20 21 22 22 21 17 12 8 6 4 2 1 2 6 10 13 14 13 11 11 11 11 11 12 12 13 14 16 17 16 14 12 10 10 11 13 16 19 21 22 20 15 9 5 2 2 3 5 8 12 13 12 11 10 9 8 8 7 7 8 9 11 12 13 14 14 13 12 11 10 10 11 12 12 12 12 11 9 7 6 8 11 11 11 8 5 5 5 6 8 9 10 10 10 11 11 11 9 7 6 9 12 14 14 14 14 14 13 10 8 6 7 9 10 9 8 11 17 21 23 19 14 9 5 2 2 3 4 5 5 7 11 15 15 14 12 11 11 12 11 10 9 9 10 11 nan
nan 10 11 11 10 9 8 7 6 4 3 3 3 4 4 5 6 6 7 7 7 8 8 9 9 8 8 8 8 8 9 9 10 10 10 10 9 9 10 10 11 11 11 11 12 17 24 29 32 29 19 11 8 7 8 10 12 14 16 18 20 22 23 22 19 15 11 9 7 5 3 2 5 9 12 13 13 11 10 9 9 8 9 9 10 12 13 14 14 13 11 9 8 9 13 17 20 22 21 18 13 5 1 -1 1 7 13 16 17 17 16 13 10 7 6 6 6 6 7 8 10 11 12 12 12 12 12 11 10 10 10 10 10 10 10 10 8 7 7 9 11 13 13 10 8 6 5 4 4 6 9 11 12 12 11 8 6 5 6 9 12 13 13 12 12 13 14 12 11 10 11 13 15 15 13 14 18 20 21 18 13 7 3 1 2 5 8 11 12 13 15 15 14 12 10 10 10 10 9 9 8 8 9 10 nan
nan 11 12 12 11 10 9 8 6 4 3 4 4 4 4 4 5 6 6 6 7 7 8 8 9 9 9 8 8 8 8 9 10 10 10 10 9 9 10 10 11 11 10 11 13 16 23 30 32 31 21 11 8 6 7 8 9 10 11 14 18 20 22 23 21 19 16 14 12 9 7 5 6 8 11 11 11 10 8 8 7 7 8 8 9 10 10 10 10 9 8 7 6 8 12 15 18 19 17 12 8 3 -1 -1 3 10 18 20 19 17 15 13 11 8 7 7 7 8 8 10 11 11 10 10 10 11 11 11 11 10 10 10 10 10 9 9 8 7 8 9 11 12 12 12 11 10 7 5 3 4 7 10 12 13 12 9 8 7 9 11 12 12 12 13 13 13 13 12 12 12 13 15 17 17 16 17 19 20 19 16 10 5 3 4 7 11 14 16 16 15 15 14 13 12 11 11 11 11 9 8 8 7 8 9 nan
nan 13 13 13 12 11 9 8 6 4 4 5 5 5 5 5 5 5 6 6 6 7 7 8 9 9 9 8 8 8 8 9 9 10 9 9 9 9 10 11 11 11 10 10 12 16 22 29 33 31 22 12 7 6 6 7 9 9 9 10 13 16 18 19 20 19 18 16 14 12 10 9 8 9 9 10 9 8 7 6 7 7 7 8 8 9 8 7 6 6 6 6 8 10 13 17 18 18 15 9 5 3 2 2 6 11 16 17 15 14 13 12 11 11 11 10 10 10 11 12 13 13 11 10 9 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 8 9 11 12 13 11 8 6 5 6 8 11 13 14 13 11 9 10 9 9 9 10 13 14 13 12 13 13 14 15 16 17 18 18 18 18 18 16 13 9 6 7 9 13 17 18 17 16 15 14 13 13 12 13 13 13 13 11 9 8 8 8 8 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
58 46 47 56 57 45 30 23 22 25 33 41 45 41 36 37 40 40 37 38 40 33 22 19 18 19 21 22 18 13 10 8 5 4 4 5 5 6 6 6 6 5 5 6 7 9 9 10 11 12 13 14 15 22 36 51 63 72 76 72 69 69 74 77 73 61 46 30 20 12 9 9 7 6 7 6 5 5 5 6 6 6 6 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 3 3 3 3 3 3 3 2 1 0 7 36 163 415 547 306 86 13 1 0 0 2 14 129 1104 1218 896 493 276 219 232 268 305 365 466 576 661 699 701 698 705 741 868 1007 1062 1022 961 935 956 1044 1257 1384 1262 979 841 932 922 693 583 532 589 735 873 919 946 946 1169 1613 1914 1752 1270 1047 1236 1406 1241 1000 874 891 968 938 839 827 893 973 1021 1003 921 810 712 657 678 722 762 756 703 630 572 700 623
51 43 43 50 55 46 34 29 33 39 43 48 50 51 48 43 41 39 34 31 32 29 22 18 13 15 19 19 17 15 13 11 6 4 3 3 3 4 4 5 5 6 6 8 9 9 9 9 11 12 11 12 13 18 32 44 60 75 83 78 67 63 69 72 67 57 43 25 13 9 8 8 7 6 5 5 4 5 6 6 6 6 6 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 1 0 0 18 79 263 483 517 256 32 3 0 0 0 1 10 62 340 502 403 279 231 241 283 336 380 419 481 553 606 626 622 614 612 695 916 1054 1064 1004 949 931 983 1074 1149 1120 954 746 661 694 731 547 485 471 462 496 601 723 782 897 1119 1395 1517 1371 1127 1106 1334 1428 1124 949 890 905 935 954 881 841 906 928 916 888 841 778 721 686 706 746 779 776 727 655 596 615 546
54 62 64 65 72 59 47 44 47 51 53 54 45 46 49 50 49 45 36 30 29 24 21 18 12 11 16 16 14 14 14 13 8 6 5 3 2 2 2 3 4 5 6 8 9 8 8 7 8 9 10 10 12 17 29 43 62 79 88 85 69 59 61 63 58 50 39 22 7 6 7 7 6 5 4 3 4 5 6 6 6 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 0 0 0 27 125 340 492 429 189 12 0 0 0 0 3 12 33 73 174 198 206 225 262 315 379 445 506 542 553 542 522 504 501 531 609 828 974 1002 974 947 946 981 994 939 869 788 679 574 506 473 420 379 372 377 427 540 670 740 833 949 1062 1108 1076 1113 1258 1332 1174 949 972 975 983 979 936 873 818 799 788 770 752 737 724 716 715 735 767 792 780 731 665 604 555 519
60 78 78 73 76 76 68 65 65 62 58 52 42 39 41 45 48 45 38 29 25 21 20 19 16 14 16 14 12 13 13 13 12 10 7 5 3 2 2 2 3 4 4 4 5 6 6 7 8 7 8 10 11 15 27 44 60 72 75 73 65 57 56 58 48 42 38 24 9 5 7 7 6 4 4 4 4 5 5 6 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 2 2 1 0 0 4 31 137 384 454 321 123 8 0 0 0 2 8 21 37 53 87 136 178 222 272 337 418 499 550 544 500 451 414 392 394 427 492 640 821 922 952 940 911 867 786 701 719 723 668 568 475 418 361 371 389 434 525 629 696 707 722 780 834 873 962 1117 1178 1054 854 810 926 966 931 867 809 771 746 721 689 663 652 653 661 671 683 715 760 776 743 698 654 612 573 536
52 70 78 73 74 77 75 71 68 60 52 47 40 33 30 31 35 35 31 25 21 19 21 25 21 17 15 11 9 11 11 12 13 12 9 5 3 2 2 2 3 3 4 4 4 4 5 6 7 7 9 10 11 15 25 39 49 54 50 49 48 47 51 54 45 35 32 22 11 6 6 7 6 4 4 3 3 4 5 6 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 1 0 0 0 7 34 110 342 340 202 68 5 0 0 1 7 20 31 42 60 92 130 169 217 275 347 418 462 459 418 372 339 318 309 316 336 371 453 631 853 948 930 859 778 706 668 685 693 634 523 409 315 285 408 469 582 653 651 603 560 570 640 715 785 887 932 874 759 684 711 793 814 742 664 621 611 612 602 573 542 531 545 570 595 623 666 709 733 710 723 697 645 598 551
43 54 66 62 69 73 70 62 56 51 45 45 39 32 26 23 23 24 24 24 23 21 21 23 18 17 14 12 12 10 9 10 10 8 7 6 4 3 3 3 3 3 3 3 3 3 4 6 7 7 10 11 11 12 17 25 32 33 32 27 34 36 40 41 36 27 19 12 8 6 6 5 4 3 3 3 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 0 0 0 0 10 34 91 204 171 79 24 3 1 3 8 18 31 37 44 58 82 112 149 200 267 330 363 354 316 282 263 253 249 251 262 275 283 310 422 705 908 918 832 738 668 619 589 579 529 444 340 257 243 334 479 669 616 492 406 388 448 571 717 856 907 715 591 561 589 638 655 615 523 468 459 471 475 456 416 369 354 384 436 494 551 608 659 709 703 687 669 639 584 498
48 53 57 59 62 69 66 60 54 50 45 44 35 30 27 24 22 24 26 28 27 24 21 19 17 15 12 13 14 13 11 10 8 6 4 4 5 5 4 4 4 3 3 3 2 3 4 6 7 9 10 11 11 10 10 12 16 18 19 21 31 28 31 31 26 17 9 4 5 4 3 3 3 2 1 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 1 0 0 0 4 26 52 83 104 67 23 8 3 5 10 16 22 31 37 43 51 66 90 124 173 235 284 293 272 246 229 217 207 201 202 211 224 237 243 297 494 734 821 777 696 626 569 516 463 404 343 274 225 227 293 409 509 386 261 235 277 384 537 707 846 776 418 348 395 463 505 489 426 347 318 327 338 336 314 273 221 197 230 288 361 438 518 602 678 698 674 642 588 490 356
55 66 70 69 68 66 59 52 49 46 44 39 27 18 24 25 24 25 27 29 31 27 22 18 16 14 11 13 17 19 16 12 8 6 5 4 4 5 6 6 5 4 3 3 3 4 5 8 9 9 9 10 9 7 6 6 7 9 13 20 26 23 25 25 19 11 5 2 2 2 1 2 2 1 1 1 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 2 1 0 0 2 24 68 84 73 52 26 8 5 6 10 13 16 19 25 32 40 47 58 76 100 136 184 227 243 240 230 218 201 182 167 161 166 179 197 208 234 326 485 626 641 587 538 499 459 410 346 277 224 181 184 245 297 263 185 136 149 221 347 467 544 534 311 112 140 244 321 350 338 295 239 217 220 219 215 210 190 157 144 162 194 241 314 419 541 639 678 667 612 517 379 213
46 60 74 77 72 60 48 40 38 39 38 38 36 30 26 25 23 23 25 28 33 31 22 17 15 14 14 17 18 21 18 13 10 8 7 5 5 7 8 8 7 7 5 4 4 5 7 9 9 9 8 9 8 6 5 5 5 6 8 15 20 18 17 17 13 8 4 2 1 1 0 0 1 2 1 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 2 1 0 0 1 15 66 125 98 53 22 7 3 6 10 12 14 14 15 17 24 35 46 60 71 80 99 136 185 226 240 232 214 190 164 143 134 134 144 156 168 181 225 318 430 483 454 434 414 390 350 294 236 187 139 130 164 188 172 133 107 125 213 311 334 285 180 51 13 42 121 186 212 210 195 175 158 155 156 162 168 166 156 153 169 169 184 251 364 491 592 644 639 576 464 305 136
44 50 62 71 61 48 41 37 33 34 32 32 35 34 29 27 23 22 21 28 33 31 22 15 13 13 15 17 19 21 17 11 9 9 8 6 6 8 9 9 8 8 7 5 4 5 6 8 9 9 7 8 7 6 5 5 4 4 5 8 15 13 9 8 5 3 2 2 1 0 0 0 0 2 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 2 2 3 3 3 3 2 0 0 0 1 33 93 123 68 24 6 3 6 9 12 12 10 9 9 10 15 28 45 61 61 58 65 101 166 233 268 253 220 187 156 132 119 116 121 130 140 151 180 235 300 343 350 340 321 293 253 205 164 134 101 84 92 101 100 95 102 146 250 263 177 92 35 8 4 17 54 90 109 116 119 122 123 121 116 133 159 178 174 172 208 217 239 303 401 507 588 621 605 551 415 233 95
48 53 58 57 46 36 36 36 35 34 31 29 31 29 27 27 25 24 19 27 30 26 20 15 12 12 11 13 15 16 14 9 8 9 9 8 7 6 7 8 8 7 7 6 5 5 6 8 8 7 7 8 7 6 6 5 4 4 4 4 7 6 5 4 4 3 3 2 1 1 0 0 0 2 4 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 3 3 3 3 2 0 0 0 1 43 78 66 27 5 1 3 8 12 13 9 4 2 2 3 10 24 40 46 39 34 38 83 167 254 298 276 229 192 158 132 117 112 115 122 133 145 164 195 233 264 279 272 244 200 157 121 95 79 70 58 49 47 56 83 136 214 292 220 90 36 23 21 23 28 31 46 63 76 85 93 99 101 97 121 153 177 175 193 259 306 366 410 471 550 613 636 608 539 383 158 69
48 57 62 55 42 34 33 35 36 35 32 29 26 23 24 25 25 22 18 24 24 20 17 15 13 13 12 14 13 12 10 9 7 9 9 8 7 6 6 7 6 7 7 8 7 6 6 7 7 7 7 7 5 4 5 4 4 5 5 4 4 4 4 3 3 3 3 2 1 1 0 0 1 2 4 4 4 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 2 1 0 0 1 6 48 54 31 8 0 0 1 8 39 51 22 0 0 0 2 12 20 23 19 14 15 25 87 194 285 316 287 240 205 172 149 138 132 130 133 139 143 148 162 185 208 219 208 172 133 101 74 57 50 49 48 47 53 69 116 186 248 255 159 69 50 52 59 60 55 45 44 56 71 85 96 100 99 101 110 122 153 162 212 299 366 425 435 448 505 563 621 692 699 461 117 61
56 60 57 47 42 37 35 37 37 35 31 28 25 24 23 23 24 17 16 20 18 13 12 13 14 13 12 12 10 10 9 9 9 9 8 7 6 6 6 7 7 6 6 6 7 7 7 7 8 7 7 5 4 3 4 4 4 5 5 5 4 4 4 3 2 3 3 1 0 1 2 2 2 3 3 4 4 5 5 4 4 4 4 4 4 4 3 3 2 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 2 1 0 1 8 30 59 36 14 3 0 0 1 10 122 216 114 0 0 1 7 13 10 5 2 2 6 18 85 227 344 352 300 252 210 184 179 179 174 163 152 142 132 128 135 152 165 165 150 124 94 71 54 44 41 43 51 69 107 161 202 207 195 161 97 68 74 90 99 96 84 70 62 64 73 86 103 120 136 147 135 115 144 166 243 351 426 438 396 371 399 437 513 626 693 568 169 82
51 52 48 40 37 33 33 34 33 28 26 24 23 23 23 24 22 14 15 16 14 12 11 14 16 16 14 10 8 9 9 7 6 6 7 7 7 7 8 7 7 7 6 6 6 6 7 6 5 6 5 5 5 5 5 4 3 5 6 5 4 3 3 2 1 1 1 1 1 1 3 3 2 3 3 4 4 5 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 0 0 4 28 69 71 23 6 1 0 0 1 13 121 255 107 0 0 2 8 8 3 1 0 0 1 11 56 203 384 392 311 226 177 171 188 198 200 186 162 137 123 121 128 136 137 137 130 115 79 61 50 43 43 54 76 108 156 212 202 148 113 93 77 85 106 126 127 114 99 84 75 69 70 87 120 162 221 243 183 135 142 182 265 391 486 480 388 333 344 348 395 550 719 685 363 140
46 40 37 33 29 27 28 27 24 22 22 21 21 22 23 20 16 12 13 15 13 13 14 15 16 17 17 21 17 9 8 6 5 5 6 6 6 7 8 7 6 6 7 6 6 6 6 6 6 7 6 6 6 6 5 4 4 4 6 3 3 3 3 2 2 1 0 1 2 1 1 1 1 2 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 1 1 1 1 2 2 2 1 0 0 0 0 7 52 92 72 17 4 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 3 26 108 263 274 189 112 90 105 136 157 183 184 165 144 135 138 140 137 136 148 139 109 85 63 52 42 50 73 96 99 79 57 52 56 63 72 88 109 126 121 102 82 71 70 69 64 62 78 123 172 240 252 175 130 124 156 224 360 503 553 473 356 334 319 311 390 549 620 460 222
47 40 34 30 28 24 21 19 20 22 22 22 22 22 20 15 12 12 13 15 13 14 15 14 14 14 16 22 18 12 9 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 6 4 4 4 4 5 4 3 3 3 2 2 1 2 2 3 3 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 1 2 2 2 2 2 2 1 1 1 2 2 1 1 1 2 2 0 7 55 92 74 26 12 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 28 76 88 42 19 28 47 73 109 165 193 188 175 173 175 169 153 156 161 141 108 82 66 57 47 60 78 79 59 29 11 20 43 67 87 102 108 100 80 69 69 76 86 85 74 61 57 83 109 125 118 99 88 95 119 158 259 435 596 613 464 335 322 319 294 297 360 385 298
39 41 41 35 28 22 19 18 20 24 25 24 25 24 18 12 12 13 14 13 13 15 14 13 12 13 15 17 18 12 9 8 8 7 7 7 7 7 7 8 7 6 7 8 8 7 7 6 7 6 6 6 7 7 5 4 5 4 4 4 3 2 3 2 2 1 1 2 3 3 3 3 2 2 3 3 4 4 4 4 4 4 4 3 3 3 2 2 2 1 1 1 1 1 2 1 1 1 2 2 2 2 2 1 0 2 6 12 16 16 21 61 86 62 26 13 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 8 1 0 18 49 93 151 213 254 247 228 220 212 196 179 189 190 154 116 88 76 70 67 72 71 56 38 26 28 43 75 100 103 89 74 65 68 86 110 128 142 137 103 64 47 48 57 69 72 70 71 83 114 136 175 331 595 757 648 372 340 361 359 347 346 366 379
34 35 36 30 23 21 21 24 27 27 26 27 26 23 18 13 13 14 13 13 13 13 12 12 13 13 15 20 21 12 8 7 7 6 6 7 7 8 9 8 8 8 7 7 7 7 7 8 8 6 5 5 5 5 4 3 4 3 2 2 2 2 2 2 2 2 2 2 2 3 3 2 2 3 4 4 4 4 4 4 4 4 4 3 3 2 2 1 1 0 0 0 0 1 1 1 1 1 2 1 1 1 1 0 0 4 14 25 34 41 49 69 64 33 10 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 9 106 208 281 325 344 331 296 268 239 202 170 166 173 143 125 111 102 93 85 78 65 53 50 44 43 61 88 86 74 53 43 53 84 127 165 182 183 147 96 53 34 33 41 62 73 81 89 98 117 154 193 250 552 854 824 515 423 406 409 405 393 393 431
31 32 35 37 29 28 30 31 29 28 28 27 24 19 16 15 16 18 14 12 12 11 10 11 13 14 15 17 15 9 6 7 7 7 8 8 9 9 9 8 9 9 8 9 8 7 7 7 7 6 4 4 4 3 3 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 1 1 0 0 0 0 0 1 1 1 1 1 2 0 0 0 0 0 0 2 9 16 21 25 33 40 28 9 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 6 136 264 344 377 385 378 354 317 276 224 164 114 93 130 154 137 111 88 73 56 44 52 76 85 68 52 48 36 29 20 20 36 71 116 149 140 94 60 39 25 19 21 32 50 60 73 91 109 124 143 164 170 372 720 881 777 632 512 445 395 357 344 382
30 30 34 37 35 35 39 37 31 27 25 21 18 16 16 15 15 15 13 10 11 10 11 12 13 14 15 17 14 9 7 7 8 9 10 10 10 9 9 8 8 8 8 8 9 8 8 8 7 6 4 4 2 2 1 1 1 1 0 0 0 0 0 0 0 0 1 1 2 2 2 3 4 4 4 4 4 4 4 4 4 3 3 2 1 2 1 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 3 7 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 110 211 274 307 330 354 374 383 382 305 186 91 52 53 49 34 27 31 29 21 17 34 73 125 88 40 16 9 5 3 4 12 32 55 61 39 21 12 12 13 13 16 23 33 41 53 68 87 108 120 115 128 215 480 786 898 774 564 410 362 350 345 348
29 28 28 28 30 33 36 34 26 22 18 17 17 18 17 15 13 12 11 10 11 10 12 13 13 13 14 14 15 15 12 10 10 12 13 12 11 10 9 9 9 8 9 8 8 7 8 7 6 5 4 3 2 2 1 1 1 0 0 0 0 0 0 0 1 1 1 0 1 1 2 4 5 5 4 4 4 4 3 3 3 3 2 1 1 1 1 1 1 1 1 1 1 1 2 5 5 5 3 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 8 47 104 153 200 255 318 387 467 575 410 167 42 7 0 0 0 0 2 4 3 3 9 25 82 45 13 2 1 0 0 0 2 6 13 15 10 5 5 7 9 10 12 15 21 26 32 38 47 67 89 102 126 179 435 756 840 667 431 294 266 268 278 276
29 28 27 24 25 28 31 28 22 17 19 21 21 18 15 13 11 11 10 10 10 10 10 10 11 12 12 12 11 15 14 13 13 14 14 13 11 10 9 9 10 11 12 10 9 8 7 5 3 3 2 1 1 1 1 0 1 1 0 0 0 0 0 1 2 2 2 2 2 2 3 4 4 5 4 4 4 3 3 3 2 2 1 0 0 0 0 1 1 1 1 1 0 0 2 11 26 24 13 4 1 3 4 12 18 15 7 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 1 8 27 56 115 219 343 460 575 665 368 105 16 0 0 0 0 0 0 0 0 0 0 1 8 2 0 0 0 0 0 0 0 0 1 2 1 0 0 1 2 2 4 5 8 11 17 21 27 39 54 67 88 139 351 647 779 650 397 225 201 195 184 180
27 27 28 26 24 27 28 27 25 26 30 30 26 18 13 12 12 11 11 10 10 10 11 11 12 12 12 12 13 14 14 13 13 12 12 11 11 11 10 10 10 12 12 10 9 8 7 5 3 1 0 0 0 0 0 1 1 1 1 1 0 1 2 2 2 3 3 4 4 4 5 5 5 5 5 3 4 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 10 31 29 13 3 6 16 28 48 58 43 19 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 48 152 304 457 635 663 247 51 8 0 0 0 0 0 0 0 0 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 5 8 15 23 29 36 48 77 158 338 507 502 337 172 146 136 129 119
23 25 29 27 23 23 26 29 30 31 31 27 17 14 14 14 13 12 10 10 11 12 13 14 15 14 12 12 12 14 14 12 12 11 12 12 12 12 13 12 11 10 9 9 8 7 5 3 2 1 0 0 0 1 1 1 1 1 1 2 2 2 2 3 4 3 4 4 5 5 5 5 5 5 4 3 3 2 2 2 1 0 0 0 0 0 0 4 5 1 0 0 0 0 0 2 5 9 3 1 7 21 37 50 50 36 16 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 15 51 103 191 453 525 197 33 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 1 5 6 8 13 23 41 74 156 234 243 183 116 95 94 101 100
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