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 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 8 8 8 8 8 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 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 8 8 9 9 9 8 8 7 8 8 8 8 8 9 9 9 9 9 10 10 10 8 5 5 9 13 16 15 11 5 1 -0 2 4 7 9 9 8 7 6 6 6 7 8 10 12 13 11 10 8 8 8 9 10 12 14 14 13 10 9 8 8 7 7 5 4 4 4 5 6 6 7 7 7 6 6 8 9 10 11 11 11 10 9 7 6 5 4 3 4 5 6 7 7 7 7 7 7 7 7 7 7 8 9 9 8 8 8 9 9 8 9 nan
nan 8 8 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 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 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 7 8 8 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 9 9 7 5 6 9 13 16 15 10 5 2 2 4 7 9 9 8 8 7 7 6 6 7 9 11 13 13 12 9 8 7 7 8 9 10 12 12 12 11 10 9 7 6 4 3 3 4 6 7 8 8 8 9 9 8 8 9 9 10 11 12 12 13 12 11 9 8 6 5 6 6 7 7 8 8 8 8 8 9 9 9 9 10 10 9 8 7 7 8 9 10 12 nan
nan 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 9 9 8 7 6 6 7 8 11 15 14 10 6 4 5 6 8 9 9 8 8 7 7 7 7 8 9 10 11 10 9 7 6 6 6 7 8 8 9 10 11 12 11 9 7 5 3 4 5 6 7 8 8 9 10 12 12 11 10 9 8 9 10 12 13 13 13 11 9 8 8 8 8 8 8 7 8 8 9 10 10 11 11 11 11 11 11 10 9 9 9 10 11 12 14 nan
nan 8 7 7 7 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 6 6 8 8 7 6 9 13 13 10 7 5 6 7 8 9 9 8 8 7 7 7 7 8 8 8 7 6 5 5 5 5 6 6 6 7 7 9 10 10 10 9 7 5 4 5 6 7 8 8 8 8 10 12 12 11 9 8 7 8 9 12 13 11 8 6 6 7 8 9 9 8 8 7 7 7 8 9 10 11 11 11 12 12 12 12 12 12 11 10 11 12 13 nan
nan 8 8 7 7 8 8 8 8 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 8 8 8 7 7 7 7 8 8 8 8 7 6 6 6 6 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 6 5 5 7 10 11 9 7 8 10 11 8 6 5 6 7 8 8 8 8 8 8 7 7 7 7 7 6 5 4 4 4 4 4 5 5 5 5 6 6 7 8 8 7 6 5 5 6 7 7 8 8 7 7 8 10 9 8 7 6 6 7 9 12 12 7 2 2 4 7 8 8 8 8 7 6 6 6 6 8 9 10 10 11 12 13 14 14 14 14 11 9 9 9 10 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 6 6 7 7 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 6 4 4 7 12 13 12 9 8 7 7 6 5 5 6 6 7 7 8 8 9 8 7 7 7 7 6 5 5 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 4 5 6 7 8 8 7 7 7 7 7 7 6 5 5 5 6 8 10 9 4 -0 1 5 7 7 7 7 7 7 6 5 5 5 6 7 9 11 13 15 17 17 17 16 14 11 8 7 7 6 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 8 7 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 8 6 4 4 7 13 16 16 11 7 4 4 4 5 6 6 6 6 7 8 9 10 9 8 7 7 7 7 7 7 6 5 5 4 4 5 5 5 5 4 4 4 4 4 3 3 4 4 6 7 8 8 7 7 6 6 7 6 6 5 5 4 5 6 7 6 3 2 4 7 7 7 7 7 7 8 7 6 5 4 5 7 10 14 18 21 23 22 20 17 14 11 10 8 6 5 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 9 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 8 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 6 6 6 7 7 8 8 8 8 8 9 9 8 8 8 8 8 7 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 8 7 6 6 8 12 17 16 11 6 4 4 5 6 7 8 8 7 8 9 10 11 10 9 8 8 9 10 11 11 9 7 6 5 5 5 5 5 5 5 4 4 4 3 3 3 4 5 6 8 9 9 8 7 7 7 7 7 6 5 5 5 5 6 7 6 6 7 9 10 10 9 8 7 8 9 10 8 6 4 4 7 12 17 21 23 24 24 21 18 14 12 10 8 5 4 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 8 9 8 8 8 8 8 8 7 7 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 6 6 6 6 6 6 7 7 8 8 8 8 9 8 8 8 8 9 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 7 8 10 14 13 9 6 5 5 6 7 9 9 9 9 9 10 11 11 10 9 9 9 11 13 15 15 13 9 7 6 6 6 7 7 7 6 5 5 4 4 4 5 5 6 7 8 9 8 8 8 8 9 9 9 8 6 5 6 7 7 8 8 9 11 13 15 14 11 8 7 9 11 12 10 7 5 5 8 12 15 16 16 18 19 18 16 14 12 10 8 5 4 nan
nan 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 9 9 10 10 10 10 10 9 9 9 9 9 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 6 6 6 6 6 6 6 7 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 9 9 9 10 10 10 10 11 11 11 11 11 10 9 9 9 10 10 8 8 9 10 9 7 6 5 5 5 7 8 9 10 10 11 12 12 10 9 8 8 10 12 15 18 18 16 11 8 8 8 8 9 9 9 8 7 6 5 5 6 6 6 7 7 8 8 8 8 8 9 11 12 12 11 9 7 7 8 8 9 9 10 12 15 17 16 13 10 9 10 12 13 12 10 9 8 8 10 10 9 8 10 13 14 15 15 14 12 7 4 5 nan
nan 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 11 12 12 13 13 13 12 12 11 10 10 10 11 10 9 9 9 7 6 5 5 5 4 4 5 7 9 10 12 13 14 11 8 6 6 7 9 11 15 18 18 16 12 9 8 9 10 10 10 10 9 8 6 6 6 6 7 8 8 7 6 6 7 7 8 10 12 14 15 13 10 8 8 8 8 9 9 9 10 13 16 17 16 13 12 11 12 14 14 13 12 11 9 8 7 4 3 5 8 11 14 15 15 13 8 5 6 nan
nan 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 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 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 11 11 12 14 15 15 15 14 13 12 11 11 10 11 10 9 8 10 9 7 6 6 6 5 3 2 3 6 8 11 14 16 14 10 7 4 4 5 7 9 12 14 15 13 10 7 7 8 9 10 10 10 9 8 7 6 6 6 7 9 9 7 5 5 6 7 8 10 12 13 13 11 10 9 9 8 8 8 8 8 9 12 15 18 17 15 14 14 14 15 14 12 11 11 10 8 6 4 3 4 6 8 10 12 12 11 8 7 7 nan
nan 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 10 10 11 10 10 9 9 9 9 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 8 8 8 8 8 7 7 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 12 12 12 12 12 13 14 14 14 13 12 11 10 10 10 9 8 7 8 10 11 10 9 8 6 4 1 1 3 6 10 13 16 16 13 9 5 4 3 3 4 5 7 9 9 7 5 5 6 7 8 9 9 9 9 9 9 8 7 7 8 9 8 6 4 3 5 7 8 10 10 10 8 7 9 10 10 8 8 8 9 10 12 15 17 17 14 11 12 14 15 13 10 7 8 9 10 9 7 5 4 3 4 5 7 8 8 8 8 9 9 nan
nan 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 6 6 6 6 7 8 8 8 9 9 8 7 6 6 6 7 7 8 8 8 8 8 7 8 8 8 8 8 8 9 9 9 10 11 12 13 13 13 13 12 11 11 11 11 11 10 9 8 7 7 8 7 6 5 7 11 13 12 9 6 3 1 1 3 6 9 13 16 17 14 10 7 5 4 3 2 2 3 4 5 5 5 4 5 6 7 8 10 11 11 11 10 10 10 9 9 8 8 7 5 3 3 5 7 8 9 9 8 7 8 11 13 11 9 9 10 12 14 17 19 17 12 6 4 6 11 13 10 6 4 4 7 8 9 8 7 5 4 3 4 7 7 7 7 8 9 10 nan
nan 9 9 8 8 8 8 8 9 9 9 9 9 10 9 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 8 8 8 8 8 8 7 7 7 7 7 7 7 6 7 7 7 8 8 9 9 9 9 8 7 6 6 6 7 7 8 8 8 7 7 7 8 8 8 8 9 10 11 11 12 12 13 13 14 14 14 13 12 11 10 10 10 9 7 5 4 4 6 8 7 4 1 3 9 12 10 5 -1 -2 2 6 9 13 15 15 14 12 9 7 6 7 6 4 3 2 3 4 4 5 5 6 7 8 9 11 13 14 14 13 12 12 11 9 8 7 6 6 5 5 5 6 8 8 8 8 7 8 10 13 13 11 10 10 12 15 18 19 18 12 4 -1 -2 2 6 9 8 5 4 4 5 6 7 8 8 8 7 6 6 7 8 7 7 7 9 10 nan
nan 9 9 8 8 8 8 9 9 9 9 9 10 10 10 10 10 9 9 10 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 7 7 7 8 8 9 9 9 9 9 8 7 7 6 6 7 7 7 7 7 8 7 7 7 7 8 9 10 11 13 13 13 14 14 14 14 14 14 14 14 13 12 12 13 12 9 4 0 -1 1 4 7 8 3 -3 -3 3 6 5 0 -3 0 7 13 17 18 17 13 8 6 6 7 9 9 8 6 4 3 3 4 5 5 6 6 8 9 11 13 14 16 16 15 14 12 10 8 6 5 6 7 7 7 7 8 10 11 10 8 7 8 9 10 10 9 9 11 14 16 18 17 12 5 -0 -3 -2 1 4 7 7 6 6 5 5 5 6 7 9 9 9 9 7 7 7 6 6 7 7 8 nan
nan 9 8 8 8 8 8 9 9 9 9 10 10 10 11 11 10 9 9 10 10 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 7 7 8 8 9 9 9 9 9 8 8 7 6 6 6 7 7 7 7 7 8 8 8 7 7 8 10 13 14 14 14 14 14 14 13 13 14 15 17 17 16 14 13 13 12 8 2 -2 -3 -2 1 5 7 4 -2 -3 0 3 2 1 3 8 14 19 20 19 14 9 6 6 8 10 12 12 10 8 6 5 4 4 5 5 5 6 7 8 9 11 12 13 14 15 14 13 10 8 5 5 8 10 12 11 10 11 13 15 14 12 9 8 7 7 7 8 9 11 14 16 17 13 7 2 0 1 1 3 5 6 7 7 7 6 5 5 5 6 7 8 9 9 8 5 4 6 7 7 6 6 nan
nan 8 8 8 8 8 9 9 9 9 9 10 10 11 12 12 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 10 10 9 9 8 9 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 7 7 7 8 8 9 9 9 9 9 8 7 6 5 5 6 7 7 7 7 7 8 8 8 7 8 9 11 13 13 13 13 12 11 10 10 12 15 19 22 22 20 17 15 14 11 7 3 0 -1 -0 1 4 7 8 6 4 4 5 6 8 11 15 18 18 17 14 12 10 9 10 12 13 14 13 11 9 7 5 5 5 5 6 5 5 5 6 6 7 7 9 11 12 14 14 12 9 7 8 11 14 16 16 14 13 14 16 18 16 12 8 6 6 6 8 9 11 13 14 13 9 5 2 2 2 3 3 5 6 6 6 6 6 6 6 6 6 6 5 6 7 7 5 5 8 10 9 8 7 nan
nan 8 8 8 8 8 9 9 9 9 10 10 10 11 12 13 12 11 10 10 9 9 9 10 10 10 10 9 9 9 10 10 11 11 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 6 7 7 7 7 7 8 8 9 9 9 9 8 8 8 6 6 6 6 7 7 8 8 8 8 8 8 8 9 10 11 10 10 10 9 9 9 9 11 14 17 21 23 23 20 17 15 14 11 9 7 6 6 6 7 8 10 12 12 12 10 11 13 16 18 18 16 14 11 11 12 13 12 12 12 14 14 12 10 8 7 6 6 7 7 7 7 6 5 4 4 4 5 6 8 11 14 16 14 11 8 9 12 15 17 18 17 14 14 15 17 16 11 6 4 5 6 7 8 9 10 10 9 7 5 4 3 2 2 3 4 5 5 5 5 6 7 7 8 8 7 6 5 4 4 5 8 10 13 13 12 10 nan
nan 8 8 8 8 8 8 8 9 9 10 10 10 10 11 12 12 11 10 10 9 9 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 8 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 11 13 14 13 13 12 11 11 12 14 17 17 17 17 18 17 15 12 11 10 9 8 9 11 13 14 13 11 11 13 14 15 13 13 14 16 17 15 12 9 8 9 11 12 10 9 10 12 12 11 8 7 7 8 8 9 9 9 8 7 6 5 4 3 4 6 8 12 15 18 15 9 6 7 10 13 16 18 17 15 12 12 13 12 8 4 4 5 6 6 7 8 8 8 8 6 5 5 5 4 3 3 4 4 5 5 5 6 7 8 8 8 8 7 6 4 3 5 8 11 14 15 14 12 nan
nan 8 8 8 8 8 8 9 9 10 10 10 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 10 13 18 21 23 23 22 20 18 17 18 21 21 19 16 13 12 12 9 7 4 3 4 6 10 14 17 17 15 13 11 13 16 16 12 9 8 9 10 9 8 6 6 6 8 9 7 7 8 9 8 7 6 5 6 8 9 10 10 10 10 10 9 7 6 5 5 6 9 13 17 18 13 4 1 5 9 12 15 18 18 15 11 10 9 7 4 3 3 4 5 5 6 7 8 8 8 7 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 6 5 4 6 9 12 15 15 12 nan
nan 8 8 8 8 8 8 9 9 10 10 11 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 9 9 8 10 15 21 27 31 32 29 25 23 22 21 20 21 21 18 15 12 12 11 9 4 1 -0 2 7 12 17 19 17 15 14 14 17 19 16 9 6 4 5 5 5 4 3 3 4 6 9 10 9 6 5 4 4 3 4 5 7 8 10 10 11 11 12 11 10 8 7 6 6 9 14 19 19 11 1 0 5 10 13 16 18 18 14 9 7 6 4 3 2 2 3 4 4 6 7 8 8 8 8 8 9 10 10 11 11 11 10 10 10 9 9 9 9 8 9 9 9 8 7 5 4 4 7 11 16 17 14 nan
nan 8 8 8 9 8 8 8 9 9 10 11 11 11 11 11 11 11 10 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 10 9 9 9 9 10 10 10 10 10 9 10 13 19 25 29 31 30 26 21 19 19 17 16 15 15 13 11 11 12 12 10 6 2 2 6 12 18 21 20 17 15 14 16 18 17 12 8 7 6 6 5 4 2 1 2 4 8 13 16 12 6 3 2 3 4 5 6 7 8 9 9 10 12 13 13 12 10 9 7 7 10 15 20 19 12 4 4 7 10 14 16 17 15 10 6 4 4 3 2 2 2 3 3 4 5 6 7 8 9 9 10 12 12 13 13 13 12 12 12 12 11 11 10 10 10 10 10 9 8 7 5 2 1 4 9 15 18 15 nan
nan 8 8 8 9 9 9 9 9 9 10 10 11 11 12 12 11 10 10 10 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 7 7 7 8 8 8 9 10 10 10 10 10 9 9 10 9 9 9 9 10 10 11 11 11 11 11 12 15 19 21 22 22 21 18 16 15 14 13 11 10 8 7 8 9 11 12 12 10 7 8 12 18 21 20 18 15 14 14 15 14 11 9 9 9 10 9 7 4 2 1 2 5 9 13 15 12 6 3 2 4 5 7 9 10 10 10 9 10 12 14 14 13 11 10 9 8 8 12 15 14 11 8 7 9 10 13 16 15 11 6 3 2 2 1 2 2 3 4 5 6 7 8 9 10 11 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 9 8 8 7 5 1 -0 1 6 12 15 13 nan
nan 8 8 8 9 9 9 9 10 10 10 10 10 11 12 11 11 10 10 10 11 11 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 8 8 8 8 8 8 8 9 9 10 11 10 10 9 9 9 9 9 9 9 10 11 11 12 12 12 12 12 13 14 15 14 14 14 14 13 13 12 10 9 8 8 7 7 8 9 11 13 14 13 13 14 17 19 19 17 15 13 13 13 12 11 10 9 9 10 10 10 9 6 4 2 3 3 5 6 8 7 5 3 4 5 8 11 14 17 17 14 11 12 14 16 16 14 13 13 12 9 6 5 7 8 8 8 8 8 9 11 13 11 7 3 2 2 1 1 2 3 4 6 7 8 9 11 12 12 12 12 11 11 11 11 10 11 11 11 11 10 10 10 10 10 9 8 7 7 7 7 5 1 -1 0 4 9 11 10 nan
nan 8 9 9 9 9 9 10 10 11 11 10 10 11 11 11 10 10 10 11 11 11 11 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 8 8 9 10 11 12 12 12 12 12 13 13 13 12 11 10 10 11 10 9 7 5 4 6 8 10 12 13 12 11 11 13 13 14 15 16 16 15 13 12 12 11 11 11 10 9 8 8 8 9 10 10 9 8 7 7 4 2 1 2 3 4 4 6 8 11 16 21 25 24 19 15 15 17 18 17 15 16 18 16 11 5 2 3 7 9 10 8 6 6 7 7 6 3 1 1 2 2 2 4 5 7 8 10 11 12 14 14 13 12 10 10 9 9 9 9 10 10 11 10 10 11 11 11 9 8 6 6 7 7 7 4 1 -0 2 5 7 8 8 nan
nan 9 9 9 9 9 9 10 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 10 10 9 8 8 8 9 9 9 8 8 8 9 10 11 11 11 12 12 13 13 13 12 11 10 9 9 8 6 3 1 2 4 7 12 16 16 14 10 8 9 9 10 11 12 12 12 10 9 9 9 9 9 8 7 7 6 6 7 9 10 12 14 16 15 11 4 1 0 2 4 5 7 9 13 19 25 29 27 22 19 18 19 18 18 18 20 21 18 12 6 4 8 14 17 15 10 6 3 2 2 3 2 0 0 1 3 4 6 7 9 11 13 14 15 15 13 11 10 9 8 8 8 9 10 10 11 11 11 11 12 12 10 8 6 7 9 10 9 6 2 -0 1 5 6 6 6 7 nan
nan 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 9 9 9 10 12 14 15 15 14 11 9 9 8 7 5 2 1 2 5 8 12 15 15 12 9 6 5 4 4 6 8 9 10 9 8 7 7 7 7 6 6 6 5 6 7 8 11 14 19 22 21 16 9 4 2 2 3 4 7 9 13 18 24 26 24 20 18 17 17 17 18 19 20 18 14 8 6 8 14 22 27 25 18 9 2 -1 -2 -0 1 0 1 2 5 7 8 9 11 13 15 16 16 14 11 9 8 8 8 9 9 9 10 11 12 12 12 12 12 10 8 5 5 9 12 13 9 5 1 0 3 7 7 6 5 6 nan
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nan 9 9 9 9 9 10 10 11 11 11 11 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 11 11 11 11 10 10 10 9 8 8 8 8 8 8 8 8 7 7 7 7 7 8 7 6 4 5 8 9 10 9 9 8 9 11 15 18 18 16 12 9 7 6 4 3 2 2 4 5 8 10 13 14 14 12 11 10 7 3 0 1 5 9 12 13 12 11 10 9 7 6 5 4 4 3 4 7 11 16 19 18 14 10 7 6 4 2 2 2 4 7 10 12 16 16 13 10 10 11 13 16 16 15 11 8 6 6 7 9 13 18 24 29 27 19 11 4 0 -0 1 2 4 7 9 11 12 13 14 15 14 12 9 6 6 7 8 9 9 10 11 11 11 12 13 13 12 10 7 5 4 5 5 6 6 5 3 2 4 6 8 7 7 9 11 12 nan
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nan 9 8 6 5 5 5 5 5 5 5 6 7 7 7 7 7 7 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 11 12 15 21 28 30 26 18 9 4 5 6 7 9 10 12 14 15 15 15 16 18 17 14 9 6 3 2 3 5 9 12 13 12 11 9 8 9 10 9 9 9 9 10 10 11 10 10 9 8 8 9 11 12 12 12 12 11 9 8 6 5 5 5 5 6 7 6 5 5 5 7 10 13 15 14 13 11 10 9 10 10 12 13 14 15 15 14 14 13 11 9 7 5 5 5 6 10 13 14 13 13 14 15 16 16 15 15 14 13 13 11 10 9 9 9 9 8 8 8 9 10 11 12 11 9 8 8 11 12 12 11 10 10 11 13 14 14 13 12 12 11 10 8 7 8 9 11 11 10 8 7 9 10 12 13 13 12 9 8 8 9 nan
nan 10 8 6 5 5 5 6 5 4 4 5 6 7 7 7 7 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 15 21 28 32 30 22 13 6 6 7 8 10 12 14 16 17 17 17 17 18 16 12 7 4 2 1 1 4 8 13 16 17 16 14 12 13 14 15 14 14 13 12 12 11 10 9 8 8 9 9 11 12 12 12 12 11 11 9 8 8 7 7 7 7 7 7 5 3 2 4 7 10 13 14 13 12 11 10 11 12 13 13 13 13 13 13 13 14 13 12 11 8 6 6 7 11 12 11 11 11 13 14 15 15 16 16 16 15 14 13 12 12 12 12 11 10 10 9 9 9 9 10 11 11 12 13 15 16 14 12 10 9 10 11 12 13 13 12 12 11 10 8 7 8 9 10 10 7 5 6 10 12 13 14 14 13 12 11 11 11 nan
nan 10 8 6 5 5 5 6 6 5 4 4 5 6 7 7 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 14 21 28 34 34 26 17 9 7 8 9 10 12 14 16 18 18 18 17 17 14 11 7 4 2 1 2 6 11 16 19 20 20 18 16 16 18 19 19 18 16 14 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 8 8 8 8 8 6 4 4 5 8 11 13 13 12 11 11 11 13 13 12 11 10 10 10 11 13 15 15 13 11 9 9 9 10 9 9 9 10 12 12 12 11 13 15 16 17 17 16 16 15 15 15 14 13 12 11 11 11 11 11 11 12 14 15 17 17 15 12 10 9 9 9 10 11 11 12 13 12 11 9 8 8 8 7 6 4 4 7 12 14 13 11 10 10 11 12 12 12 nan
nan 11 9 7 6 5 5 6 6 6 5 4 4 5 6 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 12 11 11 13 21 28 33 34 27 17 10 7 7 8 9 11 14 16 17 18 18 17 15 13 11 8 5 3 2 3 7 13 17 19 20 18 17 15 17 19 20 19 18 16 14 12 11 12 13 13 13 12 10 9 8 7 7 8 9 10 11 11 12 11 9 8 7 7 9 11 11 9 7 6 7 9 10 11 11 10 10 11 13 13 12 10 9 8 9 10 12 14 14 13 11 10 10 10 9 8 8 10 12 13 12 10 10 11 13 16 18 18 18 17 16 16 15 15 16 15 14 13 13 13 13 13 13 13 14 14 14 13 11 9 8 7 6 7 8 10 11 12 12 12 11 10 8 6 4 2 2 6 11 14 14 11 8 5 6 9 11 12 12 nan
nan 11 10 8 7 6 6 6 7 7 5 4 3 4 5 7 7 8 8 8 8 8 8 8 8 9 9 9 8 9 9 10 10 10 11 11 11 11 11 11 11 12 12 11 13 19 27 32 32 26 15 7 5 5 6 8 10 13 15 16 17 18 17 15 14 11 9 6 3 1 2 6 11 14 16 16 16 14 15 17 19 19 18 15 13 12 11 11 11 13 14 14 12 10 7 6 6 6 8 9 10 10 10 10 9 7 5 4 5 8 11 13 13 11 9 7 8 9 10 10 10 10 11 13 13 12 10 8 7 8 10 12 13 13 11 10 9 9 9 8 9 10 12 13 13 12 10 10 11 12 13 15 15 15 14 13 13 14 15 16 16 15 13 12 12 12 12 11 11 11 10 9 9 8 7 6 5 5 6 7 9 10 10 10 11 11 10 7 4 1 -0 3 9 14 15 14 10 6 4 6 9 11 12 12 nan
nan 12 10 9 8 7 7 7 7 7 6 4 3 3 4 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 11 11 11 11 11 11 12 12 12 14 18 25 30 30 25 13 5 4 5 6 8 11 13 15 16 17 18 18 17 15 12 9 6 3 1 1 4 8 11 13 13 14 14 15 17 19 20 18 15 12 12 12 12 11 11 11 11 10 8 6 6 7 8 10 11 11 10 8 7 6 4 2 2 4 7 10 12 13 13 12 9 9 9 10 11 11 11 12 13 13 12 10 9 8 9 11 12 13 12 11 10 9 8 9 9 11 13 14 13 12 10 9 9 9 9 9 9 10 10 11 10 10 10 12 14 15 14 12 11 10 10 9 8 7 6 6 6 5 5 5 6 8 11 11 10 9 9 8 8 8 8 7 5 1 -1 0 6 11 14 14 13 10 8 8 9 10 12 12 12 nan
nan 12 10 9 8 8 7 7 8 7 6 5 3 3 3 5 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 11 11 11 11 11 11 12 13 15 19 24 28 29 23 14 7 6 7 9 10 13 15 17 18 19 20 20 19 16 12 8 5 3 1 1 3 7 10 12 13 13 13 13 15 16 17 17 15 14 14 15 15 14 12 10 9 9 8 8 9 11 13 15 16 13 10 8 6 4 2 1 3 6 8 9 11 11 12 11 10 9 9 10 11 12 12 13 14 13 12 11 9 9 9 11 13 13 12 11 10 9 8 8 10 13 14 14 12 9 7 7 7 7 7 6 6 7 8 9 10 8 7 7 9 12 13 12 11 10 10 10 8 5 5 5 6 6 6 6 10 15 19 19 15 11 9 6 5 4 4 4 3 0 1 5 10 13 13 13 12 11 11 11 11 11 11 12 12 nan
nan 12 10 9 8 8 8 8 8 7 6 5 4 4 3 4 5 7 7 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 10 10 10 10 10 11 11 11 11 12 14 19 23 27 29 24 16 11 8 8 10 11 14 16 18 19 20 22 22 21 17 13 8 6 4 2 1 2 6 10 13 14 13 12 11 11 11 12 12 13 13 14 16 17 16 14 12 10 9 10 12 14 17 19 20 19 15 9 6 3 2 2 3 7 10 12 12 11 10 9 8 8 8 8 9 10 11 13 13 13 13 12 11 10 9 10 11 12 12 11 10 9 8 7 8 11 13 15 14 12 8 5 5 5 5 5 6 7 8 9 10 9 8 5 5 8 11 13 12 11 11 11 12 10 9 8 9 10 11 11 10 12 17 21 22 19 13 8 4 2 2 3 4 5 5 7 10 13 14 13 11 10 10 11 12 11 10 10 11 12 nan
nan 11 11 9 9 8 8 8 8 7 6 6 6 5 4 4 4 6 6 7 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 10 10 10 10 10 11 11 12 13 17 23 28 31 28 19 12 9 8 9 10 12 13 16 18 20 22 23 23 19 15 12 9 7 5 3 2 5 9 12 14 13 12 10 9 8 8 8 9 11 12 14 15 15 13 12 10 9 11 15 18 20 21 20 17 12 6 1 -1 -0 5 11 15 17 16 15 13 10 7 5 6 6 7 8 10 11 11 11 11 12 11 11 10 10 10 11 11 11 10 10 8 7 7 8 10 12 13 13 13 11 8 6 5 4 5 6 8 10 11 10 9 8 6 7 10 12 13 13 12 12 12 12 11 11 12 13 15 16 15 13 13 17 19 20 17 12 7 3 1 2 5 9 11 12 12 13 14 13 11 9 9 10 11 11 10 9 9 9 10 nan
nan 11 11 10 9 9 8 8 7 7 6 6 6 6 6 5 4 5 6 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 10 10 10 10 11 11 13 16 22 28 31 30 22 12 9 7 7 9 10 10 12 14 18 21 23 23 22 19 17 14 12 9 6 5 5 8 11 12 11 10 8 7 7 7 7 8 9 10 11 11 10 9 8 7 7 10 15 18 20 20 16 12 8 3 -2 -2 1 9 18 21 20 18 16 13 10 8 6 7 8 9 10 11 11 10 9 10 10 10 10 10 10 11 11 11 11 10 10 9 8 8 9 10 10 10 11 12 13 13 11 9 7 7 8 10 12 12 11 10 8 8 10 12 12 13 13 14 14 13 11 10 11 13 15 17 17 16 15 15 17 18 17 15 10 5 3 3 6 11 14 16 16 14 14 13 12 10 10 11 12 13 12 11 9 8 8 9 nan
nan 10 10 10 9 9 8 8 7 6 6 6 6 7 7 6 5 4 5 6 7 8 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 10 10 11 11 13 16 20 27 32 31 23 14 8 7 6 8 9 10 9 11 14 16 19 19 20 19 18 16 14 12 9 8 8 8 9 10 9 8 7 6 6 7 7 7 8 8 8 7 6 6 6 6 8 12 16 19 20 18 14 9 5 3 1 2 5 11 17 19 17 15 13 11 10 10 10 11 12 12 12 13 12 11 9 9 9 9 10 10 11 11 12 11 11 11 10 10 10 10 10 9 7 6 6 9 12 15 15 15 14 12 11 12 13 14 13 11 9 9 9 9 9 10 12 15 15 13 11 11 12 13 14 15 17 17 17 17 17 16 15 12 8 5 4 6 10 14 17 17 15 14 12 11 11 10 11 13 14 15 14 12 10 9 8 9 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 26 27 25 21 19 18 19 19 16 18 18 20 20 19 22 24 21 18 21 23 23 24 23 16 12 9 7 7 9 10 9 9 8 8 8 8 8 9 10 11 13 15 17 17 16 16 16 16 15 15 14 13 14 13 12 13 15 11 8 8 15 20 21 20 27 40 40 33 28 27 20 7 4 4 5 4 4 4 4 5 4 4 4 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 3 3 2 0 0 27 135 353 624 711 415 157 55 28 25 34 56 97 183 552 651 706 714 662 616 592 596 612 678 791 880 901 850 784 752 754 806 875 874 786 680 611 583 600 668 751 764 666 493 342 343 350 271 219 215 227 254 335 475 550 619 786 1000 1129 1085 925 864 1009 1282 1329 1106 922 893 878 883 890 884 872 863 855 837 803 763 734 723 734 755 782 802 819 824 790 913 828
16 19 23 21 17 15 15 16 18 19 23 17 17 16 15 18 22 22 19 18 16 14 15 18 15 17 15 11 8 8 10 10 8 7 7 6 6 6 7 9 10 12 14 16 16 15 16 16 15 15 14 14 14 13 13 12 16 23 21 11 16 25 22 14 12 18 31 33 28 26 19 12 6 4 5 5 4 3 4 4 4 4 4 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 3 3 2 1 0 7 49 207 446 650 648 338 71 19 6 8 21 46 84 140 210 310 382 432 461 482 512 563 629 707 774 796 766 712 670 649 668 745 846 852 770 665 591 556 590 657 694 644 520 380 295 279 309 248 177 167 160 163 232 379 500 580 714 815 828 790 778 827 977 1135 1037 904 828 817 812 795 770 739 730 707 678 654 637 627 626 634 659 689 736 782 820 833 811 842 783
17 18 21 21 16 14 15 16 18 20 21 17 19 14 12 15 20 22 21 21 16 11 10 11 14 22 23 16 10 8 8 9 9 8 8 7 7 7 7 9 10 11 13 15 14 14 16 15 14 14 14 14 13 12 11 13 19 31 37 34 33 35 32 24 21 25 32 32 26 26 24 13 7 5 5 5 5 4 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 2 2 2 2 3 3 3 3 3 3 3 2 1 0 4 29 74 318 548 636 514 233 24 1 0 4 18 41 76 121 165 224 282 341 394 446 515 612 720 794 791 736 669 625 600 586 620 670 791 821 767 677 596 552 552 544 499 466 427 358 275 208 184 161 121 125 152 214 315 425 487 501 543 588 612 658 761 882 964 957 788 786 769 751 734 706 671 636 612 583 552 530 521 524 539 558 588 623 690 734 766 790 793 777 759
27 23 20 17 14 13 14 17 20 21 19 15 14 13 15 16 17 19 21 23 20 14 15 16 17 21 26 21 13 11 10 9 7 7 8 7 8 8 8 10 11 11 12 13 14 14 14 14 14 14 13 13 12 12 12 16 24 34 39 40 40 42 44 41 43 44 38 29 20 14 12 6 5 4 5 5 5 5 4 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 2 0 0 10 41 85 448 628 568 357 133 12 0 0 5 21 44 75 109 146 196 254 311 377 452 555 677 780 809 744 646 585 558 543 538 555 577 683 773 772 700 596 503 430 358 299 325 342 313 240 161 108 68 73 105 190 315 407 426 387 349 368 449 545 655 760 796 756 690 630 716 736 687 630 587 552 527 511 485 456 437 433 445 467 491 526 560 615 649 691 738 772 778 761
19 20 15 13 12 13 14 17 21 22 18 16 16 16 16 16 17 17 17 18 19 16 14 19 19 19 20 18 15 11 11 10 9 9 8 7 8 8 8 9 10 11 11 11 12 13 13 13 13 13 12 12 11 11 13 19 28 33 33 35 41 46 48 46 45 43 35 24 12 5 6 5 4 4 5 5 5 5 4 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 2 1 0 0 14 41 107 340 509 382 196 62 5 1 3 11 30 49 72 99 130 165 213 279 356 442 553 650 693 667 596 528 511 506 503 505 505 504 549 662 756 720 598 467 369 307 278 289 298 258 173 85 26 15 74 153 270 350 345 283 219 204 265 391 531 615 590 502 430 428 500 625 656 583 514 475 453 435 414 389 358 338 334 348 372 405 456 504 552 589 725 808 827 813 764
18 20 18 16 16 14 14 16 19 21 21 23 22 20 18 18 18 18 17 17 18 18 16 18 20 19 16 13 10 8 8 9 9 9 8 8 9 9 9 9 10 10 11 11 12 12 14 14 13 13 12 11 11 12 18 26 30 30 29 36 43 45 45 43 42 42 37 25 11 5 4 4 4 4 4 4 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 2 0 0 0 15 43 92 190 269 172 63 17 3 3 11 23 37 48 64 86 112 138 174 233 298 386 479 528 520 483 461 454 467 472 477 479 471 451 442 494 661 704 603 464 352 278 229 199 193 158 95 31 1 0 25 127 227 221 162 114 102 141 242 400 543 497 272 151 136 211 346 450 460 379 336 330 332 324 308 289 264 244 240 255 272 304 361 426 504 580 698 816 882 844 695
20 21 22 21 17 14 14 17 19 22 23 25 20 17 18 19 19 19 22 22 23 23 22 22 22 17 15 12 10 8 7 8 8 9 9 8 10 11 12 11 10 12 13 13 13 13 14 13 13 12 11 11 12 16 22 27 30 32 36 45 53 49 44 37 35 35 32 23 10 4 3 4 3 3 4 4 4 4 4 3 3 3 4 3 3 3 3 3 3 3 3 2 3 3 3 2 2 2 2 2 2 2 2 2 2 2 3 3 2 2 1 0 0 0 25 65 114 145 129 70 20 7 1 4 14 26 35 42 51 72 95 117 143 182 237 319 383 399 388 387 409 430 438 441 449 448 436 416 390 399 504 594 554 443 328 242 182 138 103 70 31 9 1 0 23 81 126 79 31 24 48 115 234 383 465 315 71 16 19 58 129 185 190 159 161 182 197 202 205 205 197 184 187 205 211 222 269 366 515 652 796 903 915 775 512
18 19 20 18 14 12 13 17 21 24 24 22 18 20 23 21 19 19 22 25 27 29 27 24 21 16 15 15 16 13 11 11 11 10 10 9 10 13 13 12 11 14 14 12 12 13 13 13 12 13 12 11 13 19 25 28 32 40 49 55 55 50 46 38 35 30 23 15 8 3 4 3 3 3 4 3 3 4 4 3 3 3 4 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 1 1 0 1 7 59 134 167 135 76 29 7 2 0 4 14 23 29 34 40 58 82 104 130 157 200 262 310 325 340 361 390 407 408 409 415 412 397 380 356 344 374 427 442 377 279 199 143 104 73 39 3 0 0 0 16 40 39 18 1 3 33 108 204 278 263 98 9 1 1 5 15 23 20 24 50 76 95 116 140 155 161 159 177 208 204 197 239 352 519 679 739 811 819 637 353
17 19 18 18 15 12 13 17 21 22 22 20 19 20 25 25 21 18 19 23 26 28 26 24 21 16 14 14 12 11 14 15 14 11 10 9 10 11 12 11 12 14 13 11 12 12 12 12 12 10 11 11 14 19 21 24 32 44 53 54 50 44 40 34 26 21 16 11 7 4 3 1 2 3 3 2 2 3 3 3 3 3 3 3 3 2 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 0 0 0 4 35 125 227 165 86 35 9 2 0 0 3 10 15 19 24 32 46 76 106 129 144 167 209 261 309 347 367 380 385 382 378 378 373 358 338 316 297 295 313 329 300 223 158 113 82 52 20 2 0 0 0 0 0 0 1 1 10 54 125 152 132 74 10 1 0 0 0 0 1 0 2 11 32 60 90 118 142 155 165 224 270 266 256 290 373 473 558 670 796 756 540 292
17 18 19 20 18 15 15 18 22 23 20 17 19 21 23 23 23 19 21 24 26 25 24 23 22 16 12 11 11 9 12 15 14 12 10 10 9 11 10 10 12 13 12 11 10 10 11 11 11 10 10 10 10 14 19 25 31 38 42 38 39 36 30 23 12 7 6 6 4 3 2 1 1 2 2 2 2 3 3 3 3 3 3 3 3 2 2 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 0 0 1 10 70 165 198 99 40 13 4 3 1 0 0 1 3 6 12 22 41 77 114 125 125 137 179 251 333 392 406 395 383 370 358 348 339 326 305 286 267 257 257 255 229 175 125 92 62 28 4 1 0 0 0 0 0 0 1 7 33 95 128 75 29 7 1 0 0 0 0 0 0 0 2 10 25 42 74 118 149 168 212 318 393 384 363 377 421 468 528 665 885 809 500 262
16 16 18 20 19 16 17 18 22 22 18 15 18 19 21 21 21 18 23 27 26 23 22 23 21 14 12 10 9 9 10 10 11 11 10 10 10 10 9 10 11 11 11 11 10 9 9 10 10 10 10 9 9 14 19 24 28 31 32 29 29 31 21 11 5 3 2 2 2 2 2 1 1 3 2 2 2 3 3 3 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 0 0 2 16 87 137 110 47 17 9 6 5 5 4 1 0 0 0 3 18 43 74 97 98 97 116 183 289 394 456 456 421 400 380 359 341 327 314 296 276 255 237 223 207 179 138 100 71 35 11 1 0 0 0 0 0 0 0 6 27 69 115 87 19 0 0 0 0 0 0 0 0 0 0 3 14 31 38 66 114 139 180 276 413 511 506 457 448 484 544 655 862 1084 855 472 251
15 16 17 18 17 16 17 18 20 20 19 18 19 19 21 22 21 20 24 28 28 21 15 13 13 12 12 13 12 10 10 10 11 11 10 10 10 9 9 10 10 10 10 10 10 9 8 8 9 10 10 9 11 15 18 20 23 27 28 27 22 26 11 4 2 2 2 1 1 1 2 2 2 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 0 1 5 31 94 98 62 27 12 7 4 9 52 72 32 0 0 0 4 25 45 57 60 59 67 101 206 362 487 533 510 467 441 417 392 372 353 331 305 277 244 211 186 166 141 108 74 36 20 6 1 0 0 0 0 2 6 10 25 49 71 68 23 3 0 0 0 0 0 0 0 0 0 0 3 16 32 37 55 82 110 175 302 446 530 536 474 437 476 584 759 980 1115 850 450 285
18 18 18 17 17 17 17 17 19 18 18 20 22 20 18 20 23 26 26 27 31 25 16 11 10 12 13 13 12 12 14 14 13 11 10 10 11 10 11 12 11 10 8 9 10 9 9 8 9 10 10 9 11 14 14 15 19 21 19 16 14 12 5 2 2 2 2 2 2 2 2 3 2 2 3 2 2 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 0 1 6 25 72 112 77 39 17 7 3 2 19 184 319 169 0 0 3 17 35 38 33 28 32 49 90 218 446 639 679 618 552 500 469 450 428 402 365 318 269 220 178 152 136 114 84 53 28 3 1 0 0 0 1 7 19 34 41 38 32 25 14 0 0 0 0 0 0 0 0 0 0 0 0 3 17 45 75 95 59 79 151 265 369 427 446 416 361 392 528 750 963 1041 923 516 327
20 19 18 19 21 19 17 17 18 16 18 21 27 30 23 17 21 30 30 31 31 26 21 16 14 16 18 15 13 12 17 21 18 14 11 10 12 11 14 13 12 11 10 10 9 9 9 8 8 8 8 7 8 9 9 11 17 21 16 10 6 4 3 2 1 2 2 2 2 2 2 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 2 2 1 0 2 17 62 125 135 62 26 8 2 0 2 24 183 372 154 1 5 14 28 30 22 14 12 17 31 70 177 437 752 840 752 615 519 478 470 433 412 378 324 259 202 162 141 125 101 76 54 36 5 0 0 0 1 13 32 52 60 39 9 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 17 67 120 112 38 30 87 170 247 310 364 391 357 315 369 472 679 893 910 694 418
23 23 21 22 22 18 15 17 18 18 21 21 28 31 24 18 20 26 27 28 25 21 20 22 24 26 24 19 14 12 14 18 17 13 11 10 11 11 14 12 12 11 10 9 8 9 9 8 7 7 8 7 7 7 7 9 15 21 16 6 4 3 2 2 1 2 2 2 3 3 4 3 3 3 2 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 1 0 0 0 1 2 2 2 1 1 0 0 5 29 94 151 134 56 22 9 3 0 0 1 4 9 3 7 17 23 21 12 6 2 3 6 13 36 109 289 588 702 610 474 396 379 381 355 365 363 327 270 215 176 151 125 96 91 78 52 27 6 2 1 11 33 51 48 21 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 36 57 34 14 5 25 69 130 218 334 436 445 302 307 301 351 489 633 632 485
20 22 23 22 19 17 15 17 19 22 22 21 21 26 26 24 23 22 19 24 21 20 20 23 30 34 30 21 15 11 11 11 11 9 9 10 10 12 14 12 11 9 8 8 8 9 10 9 9 8 8 8 8 7 6 7 10 12 10 4 3 2 2 2 1 2 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 1 1 1 1 1 1 1 1 1 1 0 1 2 2 1 1 4 7 9 8 8 31 93 140 120 57 26 12 4 1 0 0 0 0 2 11 16 12 6 1 0 0 0 0 3 13 46 133 285 380 314 267 267 275 277 287 333 369 356 309 255 210 173 138 106 112 101 71 41 21 14 8 22 34 30 15 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 15 41 107 243 420 494 286 297 256 224 227 278 343 380
17 18 24 22 20 19 19 18 25 27 21 17 17 22 29 28 26 24 22 22 21 30 33 31 29 28 26 20 15 11 10 10 10 9 9 10 11 12 12 11 9 8 7 6 7 8 9 9 8 9 9 8 8 8 7 6 6 6 5 4 3 2 2 2 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 1 0 0 0 0 1 1 1 1 1 1 1 2 1 0 0 16 35 44 42 39 51 93 123 94 43 17 4 0 0 0 0 1 0 0 0 2 1 0 0 0 0 0 0 0 2 14 49 103 130 131 176 204 232 260 290 333 373 372 336 283 232 190 157 136 148 118 78 48 35 30 28 31 24 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 1 5 27 100 257 374 268 300 233 187 156 148 185 259
17 18 26 26 23 23 23 22 24 29 18 16 15 21 31 36 31 33 26 18 20 33 40 36 26 17 12 10 11 9 11 11 10 11 12 12 12 12 11 10 9 8 7 7 7 7 7 7 7 8 8 7 7 8 8 6 5 5 4 4 3 2 3 2 3 3 3 4 4 4 2 2 3 4 3 3 3 3 3 3 3 3 3 2 2 2 2 1 1 0 0 0 0 0 0 1 1 1 2 1 1 0 0 0 0 25 59 78 82 83 86 100 103 60 22 5 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 3 12 20 23 49 108 133 204 254 270 271 274 278 274 251 215 181 150 128 137 108 88 74 65 55 42 26 10 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 2 19 77 162 237 305 202 148 120 100 103 145
20 19 23 24 24 27 27 25 26 27 22 25 22 24 33 41 41 31 22 15 18 24 27 28 22 15 13 12 10 9 11 11 10 13 16 16 14 12 10 9 8 7 6 6 7 7 8 8 9 8 8 7 7 7 6 5 4 4 3 3 2 2 3 2 3 4 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 14 40 56 61 66 73 79 68 25 7 1 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 13 44 85 141 168 158 131 115 124 150 170 178 170 138 94 70 96 117 105 80 49 24 6 0 0 0 0 0 0 0 0 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 10 66 181 281 183 118 95 82 75 82
26 24 22 22 23 26 26 22 23 27 26 25 24 30 38 45 44 34 24 17 18 19 21 21 17 15 15 11 10 10 10 9 10 13 18 19 16 12 10 8 8 6 5 5 6 8 8 8 8 8 8 7 7 6 5 5 4 3 3 2 2 2 3 3 3 3 3 3 2 2 2 3 4 4 4 4 4 3 3 3 3 3 2 2 1 1 0 0 0 0 0 0 0 0 3 4 0 1 1 0 0 1 1 1 4 8 17 21 16 17 24 35 37 10 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 2 17 55 84 82 58 31 19 31 63 118 181 186 134 73 38 30 22 10 3 5 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 25 73 102 67 44 48 48 45 45
32 27 22 21 22 23 23 23 26 28 24 20 23 35 39 45 48 41 27 19 18 19 15 12 12 13 13 10 10 10 11 12 14 16 20 19 15 12 11 9 8 6 5 6 6 7 7 7 7 7 7 7 7 6 5 4 3 3 3 3 3 3 4 3 3 3 3 4 3 3 3 4 4 3 4 4 3 3 3 3 3 2 1 1 1 1 1 0 0 1 0 0 0 1 18 44 44 36 27 17 11 12 14 19 27 30 26 17 2 2 13 35 41 18 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 4 18 31 30 17 5 1 8 35 105 231 233 108 31 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 2 1 0 1 5 11 16
27 26 23 22 23 22 22 25 30 34 27 21 31 36 33 36 37 32 24 19 20 20 17 15 18 16 13 11 10 10 11 13 16 19 20 17 12 10 11 10 8 6 6 5 5 6 6 6 7 8 7 6 6 7 5 4 3 3 3 3 3 3 3 3 3 2 3 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 1 0 0 0 0 1 0 0 0 0 0 5 30 86 111 100 75 55 49 52 59 79 95 87 58 25 6 12 48 63 46 18 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 1 4 5 2 1 0 5 35 119 245 272 81 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
22 22 21 22 25 22 22 26 31 38 40 33 46 39 32 28 25 21 22 22 22 20 17 18 25 21 15 12 11 11 11 13 16 18 17 14 11 10 10 10 9 8 7 5 6 5 6 6 7 7 6 6 6 6 4 3 3 2 3 2 2 3 3 3 3 3 3 4 4 4 4 3 4 4 3 2 3 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 3 19 58 109 109 86 75 85 106 129 162 176 147 88 36 14 24 61 52 26 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 1 13 81 169 127 31 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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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