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 7 7 7 7 7 7 6 6 6 6 7 7 7 8 8 7 8 8 8 8 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 7 7 7 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 8 8 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 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 10 9 9 8 8 8 9 10 11 10 6 5 6 11 14 14 7 0 -3 -2 2 5 6 6 6 6 7 8 9 10 10 11 11 12 12 13 13 12 10 9 9 10 12 13 13 11 9 7 7 6 6 7 8 8 7 6 7 7 7 7 6 4 3 4 5 6 7 8 8 7 6 6 6 7 7 6 5 4 4 4 4 4 4 5 5 6 6 6 7 7 7 7 6 7 7 8 8 7 7 7 nan
nan 8 7 7 7 7 7 7 6 6 6 6 7 7 7 8 8 7 7 7 8 8 8 8 8 7 7 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 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 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 9 9 8 5 3 7 14 18 16 9 1 -1 1 5 7 7 6 6 6 6 7 8 9 10 11 12 13 13 11 9 8 7 7 8 10 12 13 12 10 9 8 7 7 7 6 6 6 5 5 5 5 5 5 5 4 5 6 7 7 8 8 8 8 8 9 9 9 7 5 4 4 5 5 5 5 5 6 7 7 7 7 7 7 7 7 6 6 7 8 8 8 8 8 nan
nan 8 7 7 7 7 7 6 6 6 6 6 6 7 8 8 8 8 7 7 7 8 8 9 9 8 8 7 7 6 6 6 6 6 7 7 8 8 8 8 9 8 8 8 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 9 9 9 8 8 6 4 4 10 18 22 19 11 4 2 5 7 8 7 6 6 6 6 7 8 10 11 13 13 13 12 10 7 6 5 6 8 10 11 12 11 10 9 9 8 7 6 6 5 5 5 5 5 5 5 6 8 9 10 10 9 9 9 10 10 10 12 13 12 10 7 5 4 5 5 6 6 7 8 9 9 10 9 8 8 8 8 7 7 7 8 8 8 8 9 11 nan
nan 7 7 7 7 7 7 6 6 6 6 6 6 7 8 9 9 8 8 7 7 8 8 9 9 9 9 9 8 8 7 7 6 6 7 7 8 8 9 9 9 8 8 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 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 8 9 9 9 8 8 9 9 9 9 8 8 7 7 7 7 6 8 13 20 23 20 12 6 5 6 8 8 7 6 6 6 7 7 9 11 12 13 12 11 9 8 6 5 5 6 7 9 10 11 11 11 11 10 9 8 6 5 5 5 5 6 5 5 6 9 13 15 14 11 9 9 10 11 13 13 14 14 12 8 6 5 5 5 6 6 7 8 9 11 11 11 10 9 9 9 9 8 9 10 10 8 7 8 10 13 nan
nan 7 7 7 7 7 7 6 6 6 6 6 7 7 8 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 8 9 9 9 9 9 8 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 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 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 8 7 6 6 8 9 10 13 17 19 19 15 10 6 5 6 7 7 6 6 6 6 6 7 9 10 11 11 9 8 6 5 5 5 5 5 6 7 8 9 10 12 12 11 10 8 6 5 5 6 6 6 6 5 6 10 14 15 12 9 8 8 10 12 14 14 12 10 7 5 5 5 5 6 6 6 7 8 9 10 11 11 10 9 10 10 10 10 10 11 11 9 7 8 10 13 nan
nan 7 7 7 7 7 6 6 6 7 7 7 7 7 8 8 9 9 9 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 8 8 8 9 9 9 9 9 8 8 9 9 9 7 5 5 8 12 16 18 18 16 12 8 6 4 4 5 6 6 6 6 6 6 6 7 8 9 9 8 7 5 4 4 4 4 5 5 5 5 6 6 8 10 11 11 10 8 7 6 6 6 6 6 5 5 6 9 12 11 8 7 7 7 9 12 12 9 3 1 2 3 4 5 6 5 5 5 6 6 7 9 9 9 9 10 12 13 13 12 11 11 10 9 8 8 10 13 nan
nan 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 8 8 9 10 10 9 8 8 8 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 6 6 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 8 8 8 8 8 8 9 9 9 9 9 9 8 9 9 9 7 5 5 8 15 21 22 17 11 6 4 4 4 4 5 5 5 6 6 7 6 6 6 7 7 8 7 6 5 4 4 4 4 5 5 5 5 4 4 5 7 9 9 9 8 6 6 6 6 6 6 5 6 7 9 9 8 6 6 5 6 9 10 8 3 -2 -3 1 3 5 5 6 5 5 5 5 5 6 8 9 9 11 13 17 19 17 15 13 11 10 9 8 8 11 13 nan
nan 8 8 8 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 6 5 6 6 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 8 9 9 8 6 6 8 16 23 21 15 8 4 3 4 5 5 5 5 5 6 7 7 7 6 6 6 7 8 8 8 6 5 4 4 4 5 5 5 5 4 4 3 4 6 7 7 6 5 5 6 6 6 5 5 6 7 8 7 6 5 4 5 6 7 8 5 1 -1 0 3 5 5 5 6 6 7 7 6 6 7 9 10 11 13 18 23 25 23 19 15 12 10 8 8 10 13 14 nan
nan 8 8 8 7 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 8 7 7 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 7 7 6 5 5 6 6 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 8 7 8 14 20 17 11 6 3 3 4 5 5 5 5 5 6 7 7 7 5 5 6 9 11 11 10 8 6 5 5 5 5 5 5 5 4 4 3 4 5 5 5 5 5 5 5 6 6 5 5 6 6 6 6 5 4 4 4 5 6 6 4 2 3 5 8 8 6 5 6 8 9 9 8 7 8 9 10 11 13 18 24 26 25 21 17 13 10 8 9 12 15 14 nan
nan 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 11 11 11 10 8 7 7 7 8 9 9 9 8 8 8 8 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 8 7 6 5 5 5 6 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 7 8 8 8 9 9 9 9 9 9 10 10 10 9 9 9 10 11 10 8 9 13 15 12 7 4 2 2 3 3 4 5 5 6 7 8 7 6 4 4 7 10 13 14 13 10 7 6 6 6 6 6 6 6 5 4 4 4 5 5 5 5 5 5 5 6 5 5 5 6 6 7 7 7 6 5 5 5 5 5 4 5 8 11 12 11 8 6 6 8 9 10 9 9 8 7 6 7 10 15 19 21 21 18 15 12 10 9 11 14 16 13 nan
nan 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 8 8 8 8 8 8 10 11 11 10 8 7 7 7 8 9 9 9 9 9 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 8 7 6 5 5 6 6 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 10 11 11 11 11 11 11 11 10 10 9 10 10 11 11 11 13 11 7 3 3 2 1 1 3 4 6 7 8 9 8 7 4 3 4 7 11 15 16 15 12 9 8 6 6 6 6 7 6 5 5 4 4 5 5 5 5 5 5 5 5 5 5 6 7 9 11 13 12 10 7 5 4 4 4 6 9 12 15 16 14 10 7 5 7 9 11 12 12 10 7 4 4 7 10 12 12 12 12 10 9 8 9 12 16 16 11 nan
nan 7 7 7 7 8 8 9 9 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 10 10 10 9 7 7 7 7 8 9 9 8 8 9 9 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 7 7 7 7 7 6 6 6 6 7 7 7 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 10 12 13 14 13 13 13 12 12 12 11 10 8 8 9 11 13 12 9 5 4 3 2 0 -0 3 7 9 11 11 10 8 6 3 2 3 6 10 13 15 14 13 10 8 6 6 6 7 7 6 6 5 5 5 5 5 5 5 5 5 5 4 5 6 7 9 13 16 17 15 12 8 5 3 3 6 9 12 15 17 17 16 15 11 8 7 9 11 13 14 13 9 5 4 5 6 6 6 5 5 5 6 6 8 11 14 13 8 nan
nan 7 7 7 8 8 9 9 10 10 9 9 9 9 9 9 9 8 8 9 9 10 10 10 9 9 8 9 9 10 10 9 8 7 7 8 8 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 11 11 12 13 13 13 13 13 13 13 10 6 3 3 7 12 13 11 9 7 4 1 -1 -0 4 10 14 15 14 11 7 5 3 2 3 4 7 9 11 11 10 8 6 5 5 6 7 7 6 6 5 5 6 5 5 5 5 5 5 4 4 4 6 8 11 14 15 15 13 9 6 4 4 5 8 11 13 14 16 17 19 19 18 14 10 8 9 11 12 12 11 8 5 5 5 5 5 5 6 5 4 5 7 9 11 10 6 nan
nan 8 8 8 9 9 9 10 9 9 9 8 8 8 9 9 9 9 9 9 9 10 10 11 10 9 9 9 9 9 9 8 8 8 8 9 10 10 10 9 9 9 9 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 11 11 10 9 8 8 9 11 12 12 12 12 13 13 11 6 0 -2 2 10 15 15 12 7 3 0 0 2 8 14 18 18 14 10 6 5 4 4 3 3 4 5 7 7 6 4 3 3 5 6 7 7 7 7 6 7 7 6 5 5 5 5 4 4 3 4 6 8 10 11 10 9 8 7 7 7 8 8 10 11 12 14 16 18 21 23 23 19 12 6 5 6 8 9 10 9 8 6 6 6 8 10 11 10 7 5 5 7 8 8 5 nan
nan 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 8 8 9 9 10 10 10 10 9 9 9 9 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 6 6 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 10 11 11 11 11 11 11 11 10 10 9 9 10 13 13 11 9 8 9 12 13 10 2 -4 -0 10 16 15 9 3 0 1 4 9 13 17 17 15 11 8 7 7 7 6 4 3 3 4 4 4 3 2 2 4 6 8 9 9 9 8 8 7 7 6 5 4 4 4 4 4 4 5 6 8 8 7 6 5 5 6 9 11 11 10 11 11 13 14 16 18 22 25 26 22 14 7 4 4 6 7 8 9 9 8 8 9 11 15 16 13 9 5 4 5 6 7 7 nan
nan 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 7 7 7 7 6 7 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 7 7 7 7 8 8 9 10 12 13 13 13 13 13 12 12 11 11 11 11 12 13 15 16 14 9 3 0 2 7 12 13 8 2 4 13 15 10 3 0 2 6 11 15 17 16 12 9 8 8 8 9 9 8 6 4 4 3 3 3 2 2 4 6 9 11 12 12 10 9 8 7 6 5 4 4 4 5 5 5 5 6 8 8 8 7 6 5 5 5 8 11 11 10 10 11 12 14 15 17 20 23 23 19 13 8 6 6 6 6 6 7 8 8 8 10 12 15 15 12 8 5 3 3 4 6 8 nan
nan 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 9 9 9 9 10 9 9 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 7 7 7 7 7 6 7 6 6 6 7 7 7 6 7 7 7 7 8 8 8 8 8 8 8 8 8 10 12 14 15 16 17 16 15 14 13 13 13 13 13 14 14 15 16 16 12 6 -0 -4 -3 3 10 15 15 12 11 14 12 6 2 3 9 14 18 18 16 13 9 7 8 8 9 10 10 9 7 6 5 4 4 3 3 3 5 8 10 12 12 12 10 9 8 7 6 5 4 3 4 6 7 8 8 8 9 10 11 11 10 9 7 5 6 7 7 7 7 9 10 12 14 15 16 16 13 9 6 6 8 8 8 7 6 6 7 7 7 8 10 11 11 10 7 4 2 1 3 5 8 nan
nan 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 10 10 9 9 9 9 9 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 10 12 14 15 16 16 16 15 14 14 15 16 18 19 18 17 16 15 14 10 6 3 1 1 5 11 17 19 18 14 11 10 8 9 12 17 19 18 16 12 10 9 9 9 9 10 10 10 9 8 7 6 5 5 4 4 4 5 8 10 11 11 10 9 8 7 8 8 7 6 5 6 8 10 10 10 9 10 11 12 14 15 13 10 7 6 5 5 5 6 7 9 10 12 12 9 6 2 -1 0 4 8 9 8 8 8 7 7 6 6 6 6 6 7 9 9 5 2 1 1 3 5 nan
nan 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 9 9 10 10 10 10 10 9 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 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 9 9 10 11 11 11 12 13 14 14 15 17 19 21 20 18 16 15 14 12 11 11 10 10 11 15 19 20 18 14 10 11 14 17 20 20 18 14 10 8 8 9 9 8 8 9 9 9 9 9 8 7 6 5 5 5 5 5 6 7 8 8 8 8 8 8 9 11 11 10 8 8 9 11 11 10 10 9 9 10 12 15 15 14 11 9 7 6 5 6 7 8 9 9 6 2 -1 -3 -3 -0 4 7 8 8 7 8 7 7 6 6 6 5 5 6 8 8 5 3 2 2 2 3 nan
nan 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 10 10 10 11 11 11 10 10 10 10 10 11 11 10 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 8 8 7 7 7 7 8 8 8 9 9 9 8 8 8 9 10 11 10 10 10 8 7 9 13 15 15 13 13 14 16 15 14 13 13 12 13 15 17 18 18 17 16 18 19 20 19 17 15 17 17 18 17 14 10 6 5 6 7 6 6 6 8 9 10 10 9 8 7 6 6 6 6 5 5 5 6 6 6 7 8 8 10 11 14 16 16 13 10 10 10 10 10 9 8 7 8 9 12 16 16 15 12 9 8 7 7 8 8 7 5 2 -1 -2 -1 0 2 4 5 6 5 6 6 6 6 7 7 7 7 6 7 6 5 4 4 5 5 4 4 nan
nan 9 9 9 9 9 9 9 9 10 10 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 10 9 8 9 9 9 10 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 11 14 17 18 18 17 16 14 12 14 18 19 17 14 12 11 11 10 8 7 8 10 13 17 21 23 23 20 17 17 21 26 27 22 16 12 11 11 10 9 6 4 4 4 4 4 4 5 7 8 9 9 9 8 8 7 7 7 6 6 6 6 5 5 5 6 7 9 11 13 17 22 21 17 12 10 10 10 10 9 8 7 7 9 12 16 17 15 12 10 8 7 7 7 6 5 3 1 0 1 3 4 5 5 5 5 5 5 5 5 6 7 8 8 7 7 7 6 5 6 8 10 9 8 7 nan
nan 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 10 9 9 8 9 9 9 9 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 8 8 8 8 8 8 8 9 9 9 9 10 10 9 10 13 18 22 26 26 25 22 21 20 19 20 23 23 21 19 17 15 13 9 5 4 6 11 17 23 27 28 26 22 20 21 25 30 28 20 13 8 7 6 6 5 3 3 2 3 4 5 5 5 6 6 7 7 7 8 8 8 8 8 8 8 7 7 6 6 5 6 6 8 10 14 19 24 23 18 13 10 10 11 11 12 11 10 10 12 13 15 14 11 9 7 6 6 6 5 5 4 3 3 3 4 5 6 6 7 6 6 6 6 6 6 7 7 8 8 8 8 8 8 9 12 14 14 13 11 10 nan
nan 9 8 9 9 9 9 9 10 10 11 11 10 9 10 10 11 11 11 10 10 10 10 10 11 12 12 11 10 9 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 8 8 8 8 9 9 10 10 10 10 10 9 11 17 23 27 28 25 21 18 18 18 18 20 22 22 21 22 23 22 20 15 10 9 12 18 24 29 31 29 25 22 21 22 25 24 19 13 9 7 6 6 4 3 2 2 2 4 8 11 11 9 7 5 5 5 5 6 8 9 10 10 10 9 8 8 7 6 6 5 5 6 8 12 18 22 21 15 10 8 8 9 12 14 15 15 16 16 14 12 9 6 5 4 4 4 4 5 4 4 4 5 6 6 6 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 10 11 13 15 16 16 14 13 11 nan
nan 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 11 11 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 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 8 9 9 10 10 10 10 10 10 10 12 17 21 23 22 18 13 11 12 13 14 16 17 18 19 22 25 26 24 22 20 19 20 23 26 28 27 23 19 17 17 18 17 14 10 8 6 6 6 5 4 4 3 3 3 6 10 15 15 12 8 5 4 4 4 5 7 9 10 12 12 11 10 8 7 6 6 6 6 7 7 10 13 16 15 10 5 3 4 6 9 13 16 18 18 16 12 8 5 3 3 3 3 4 4 5 5 5 6 6 7 7 8 8 8 8 8 8 9 9 10 9 9 9 10 10 11 11 11 12 13 13 13 13 12 13 13 nan
nan 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 10 10 10 10 10 11 11 12 12 12 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 10 11 11 11 11 11 11 12 14 16 17 16 12 8 7 8 9 11 13 15 17 19 22 24 24 24 24 23 22 21 21 21 20 17 15 12 12 12 12 11 9 8 6 6 5 5 5 6 6 7 7 6 7 8 11 12 10 7 5 4 3 4 5 6 8 9 11 13 13 11 8 6 6 7 8 10 11 11 10 10 10 9 5 1 -1 0 3 6 11 15 16 14 11 7 5 3 3 3 3 4 4 5 5 5 6 7 8 8 9 9 9 9 10 10 10 10 11 10 10 10 10 10 11 11 11 11 11 10 10 9 10 11 14 15 nan
nan 10 10 10 9 9 9 9 10 11 11 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 11 10 10 9 9 9 9 9 9 10 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 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 12 13 13 11 8 6 6 8 10 12 14 17 21 22 21 19 17 16 17 16 16 15 14 13 11 9 8 8 8 8 7 7 7 6 5 5 5 5 7 9 12 13 12 8 5 4 5 5 4 3 3 4 5 7 8 8 9 11 14 15 12 8 6 7 9 13 16 17 16 12 8 6 4 2 -1 -2 -1 1 6 11 14 12 7 4 3 3 3 3 3 4 4 5 5 6 6 7 7 8 9 10 10 10 10 10 11 11 11 11 11 11 12 12 12 11 10 9 9 9 9 9 10 11 13 15 16 nan
nan 10 11 10 9 9 9 10 11 11 11 10 10 10 10 9 9 9 9 10 10 11 12 12 13 12 12 11 10 9 9 9 9 9 9 10 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 9 9 10 10 10 10 10 11 11 11 11 11 11 11 10 10 11 12 12 10 7 3 4 6 9 9 10 13 17 17 15 13 10 8 9 10 10 11 11 10 9 8 6 6 5 5 5 5 5 4 4 4 5 5 7 9 13 17 17 12 6 3 1 1 1 1 2 4 7 10 12 13 13 16 19 18 14 9 6 8 12 17 21 21 17 11 6 4 3 2 1 -0 1 3 7 11 11 7 2 1 2 3 3 4 4 5 6 6 7 7 8 8 8 9 9 10 10 10 11 11 11 11 12 12 13 13 14 14 13 12 11 11 10 10 10 10 11 13 15 16 16 nan
nan 10 10 10 9 9 10 10 11 12 11 11 10 10 10 9 9 9 9 10 11 11 12 12 13 12 11 10 10 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 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 12 12 13 12 12 12 11 10 8 4 2 3 7 8 7 5 5 7 7 7 7 8 7 6 5 6 8 9 10 9 7 6 5 5 5 5 4 4 3 4 4 5 6 7 9 13 17 20 16 10 5 2 0 -0 0 1 5 9 14 18 20 21 23 25 22 17 11 8 9 13 18 21 19 13 8 5 5 6 7 6 6 6 8 10 10 7 3 0 0 2 3 4 5 6 7 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 12 13 14 15 15 14 13 14 15 15 15 14 12 9 8 8 11 13 14 14 nan
nan 10 10 10 10 10 10 10 11 12 11 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 12 13 15 16 15 13 11 9 7 5 4 3 6 9 8 5 3 1 0 1 3 7 10 10 6 3 3 6 8 10 10 9 8 7 7 6 6 5 4 4 4 5 5 7 9 11 15 19 20 18 12 7 4 2 1 1 2 5 10 17 23 27 28 27 25 22 17 13 11 11 14 17 17 13 9 5 6 8 11 14 14 14 14 13 11 6 1 -1 -1 1 2 4 5 7 8 9 11 12 12 12 12 13 13 13 12 11 11 11 11 12 12 14 16 16 15 12 11 11 14 17 18 15 12 7 3 1 2 5 8 9 10 nan
nan 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 12 13 14 16 18 16 12 8 5 3 4 6 8 10 9 6 4 3 3 3 5 7 9 11 9 5 1 2 4 7 10 11 11 11 10 9 9 8 7 6 5 4 4 4 6 10 15 19 21 20 16 10 7 5 4 3 2 3 5 10 18 26 30 28 23 19 17 15 15 15 16 16 15 13 10 7 6 7 10 14 18 20 21 21 17 10 1 -4 -3 -0 2 4 5 6 8 10 11 13 13 14 14 15 16 16 16 15 14 12 11 11 12 13 15 17 15 11 8 8 9 13 16 15 9 4 -1 -4 -4 -2 1 3 4 4 nan
nan 10 10 10 10 9 10 10 11 11 10 10 11 11 11 10 10 10 11 11 11 12 12 12 12 11 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 12 14 15 16 17 17 14 9 3 -0 0 4 10 13 12 6 2 2 4 7 10 12 13 12 10 7 4 2 2 3 5 7 9 11 11 11 11 10 9 8 6 5 3 1 1 3 8 15 21 22 18 11 7 5 5 5 4 4 4 6 10 18 26 28 23 17 13 12 13 16 18 19 17 14 11 9 9 9 9 11 14 17 20 21 21 17 9 1 -3 -1 2 4 6 7 8 9 10 12 13 14 14 15 16 17 18 17 16 15 13 10 10 11 13 15 15 12 9 7 8 9 11 11 9 3 -2 -4 -5 -4 -2 1 3 4 4 nan
nan 10 10 10 10 10 10 11 11 10 10 10 11 11 10 10 10 10 10 11 11 12 12 12 11 11 10 10 10 10 10 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 12 14 16 18 17 14 13 9 3 -2 -3 1 7 14 14 10 4 1 2 4 9 13 16 18 15 10 8 6 4 3 2 3 4 5 7 8 9 10 10 9 7 5 3 1 -2 -3 -1 4 11 18 18 13 7 3 3 4 5 5 4 5 6 10 16 22 22 18 12 10 10 12 14 16 17 16 14 13 12 11 10 10 10 11 13 15 17 18 14 9 4 2 3 5 7 9 10 10 10 11 11 12 13 14 15 15 15 16 15 15 14 11 8 7 9 12 13 13 12 10 9 8 8 7 6 5 3 -0 -2 -2 -0 2 4 6 8 8 nan
nan 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 14 17 19 18 15 10 8 4 0 -2 0 5 11 13 12 7 3 3 4 6 8 13 18 21 19 12 7 5 4 3 1 1 2 3 4 5 6 7 7 7 5 3 1 -2 -4 -5 -3 1 8 13 12 8 4 2 2 3 4 4 4 5 6 9 13 17 17 15 12 11 11 11 11 12 13 14 15 16 14 12 10 9 9 9 10 12 13 13 11 8 6 5 6 9 11 12 12 12 11 11 11 12 13 13 13 12 11 11 12 12 11 9 7 7 10 13 14 14 12 10 9 7 6 5 4 4 4 2 1 2 4 7 9 11 14 15 nan
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nan 10 10 10 11 11 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 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 9 9 9 9 9 9 9 9 10 13 17 19 18 16 15 16 16 15 14 16 19 21 19 16 12 7 4 2 2 4 6 7 8 9 13 17 18 14 7 0 -1 2 7 10 11 11 9 5 3 3 2 1 1 2 7 11 14 14 13 12 10 7 1 -3 -5 -5 -5 -3 -1 0 2 4 6 7 8 8 9 11 11 11 9 7 6 6 9 16 21 20 15 11 8 9 10 12 12 11 9 7 5 5 6 8 9 11 13 13 13 12 12 12 12 13 12 11 8 6 4 5 7 8 7 6 8 9 8 5 4 3 3 3 4 4 5 5 5 6 6 7 8 9 11 12 12 12 13 13 nan
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nan 2 3 5 6 7 7 8 8 8 7 7 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 12 12 12 12 11 14 19 24 25 23 16 10 7 5 4 5 7 11 14 14 14 14 16 18 21 22 21 19 17 15 13 12 13 14 13 11 9 7 6 5 6 7 8 8 8 7 7 8 9 10 10 10 9 8 7 7 9 10 11 11 10 9 7 6 5 4 3 3 3 4 5 5 6 8 9 11 11 11 10 9 8 8 8 9 10 10 11 11 11 11 11 11 11 10 9 9 10 10 10 10 10 10 11 12 14 16 18 18 15 12 11 9 9 10 10 10 10 8 7 6 6 6 7 9 10 10 10 10 10 11 11 13 15 16 15 15 14 14 14 13 12 11 10 10 10 10 10 9 9 9 9 8 7 6 7 10 14 16 16 14 10 6 5 6 7 nan
nan 2 3 5 6 6 6 7 8 8 8 7 6 5 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 11 11 11 11 12 12 12 12 14 19 23 24 21 15 10 7 5 4 4 6 10 13 15 16 16 18 20 23 22 19 15 11 9 8 9 10 12 12 10 8 7 6 7 8 10 10 11 11 11 11 11 10 10 9 9 8 8 8 9 11 13 13 13 12 10 8 6 6 5 5 5 5 5 5 5 5 6 8 9 11 12 11 10 9 9 9 9 10 11 11 11 11 12 12 12 11 10 9 9 8 8 7 8 8 10 11 11 12 14 16 17 16 14 12 10 10 10 10 11 10 9 8 7 6 7 8 10 12 12 12 12 11 11 11 13 14 14 13 12 11 10 10 9 9 9 10 10 10 10 10 9 8 8 8 7 6 6 8 12 15 17 17 15 11 8 6 7 8 nan
nan 3 4 5 6 6 6 7 8 8 8 7 6 5 5 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 11 11 12 12 13 15 20 25 27 24 18 13 8 6 4 4 5 9 13 16 18 19 20 22 23 22 17 12 8 5 4 4 5 8 11 12 13 13 12 13 13 14 14 15 16 15 14 13 10 9 8 8 8 8 8 9 11 12 12 12 11 10 9 8 8 7 7 6 6 6 6 5 5 5 6 7 9 11 11 10 9 9 9 10 10 11 11 11 11 11 11 11 11 10 9 8 7 6 6 7 9 10 11 11 11 12 14 15 14 13 11 10 10 10 10 10 10 9 8 7 7 7 8 10 11 12 12 12 11 11 11 12 13 14 13 12 10 9 8 7 8 8 9 10 10 11 10 9 7 5 4 3 3 6 11 15 18 18 16 14 11 8 8 8 8 nan
nan 4 4 5 5 6 6 7 8 8 8 7 6 6 5 5 6 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 11 11 12 12 16 21 26 30 28 22 16 10 7 5 4 5 8 13 17 20 21 22 22 22 20 16 11 7 4 1 -0 1 6 11 16 19 20 19 18 16 16 17 17 18 17 15 12 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 8 7 6 6 7 7 6 6 5 6 7 9 10 10 9 9 9 10 10 11 10 10 10 10 10 10 10 10 9 8 7 6 7 9 10 10 10 10 11 12 13 13 12 11 10 10 10 11 11 11 10 10 9 8 8 8 8 9 10 10 10 11 11 11 12 13 14 14 13 12 11 9 8 7 7 8 8 9 10 10 10 8 6 3 1 -0 2 9 15 19 20 17 14 10 8 8 8 9 9 nan
nan 6 5 6 6 5 6 7 8 9 8 7 7 6 5 5 6 6 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 12 13 16 22 26 29 29 24 18 12 8 5 5 6 8 12 16 19 21 22 22 22 19 15 11 8 5 2 -0 1 7 13 19 22 23 21 19 17 16 17 17 16 15 13 11 10 10 11 11 11 10 9 8 7 7 7 8 10 12 13 12 11 9 8 6 5 5 6 8 8 8 7 6 7 8 9 9 9 9 9 9 10 11 11 10 10 9 9 9 9 10 10 10 9 9 9 10 10 9 9 10 10 11 12 12 11 10 10 10 11 12 13 13 12 11 10 10 9 9 10 10 10 10 10 10 10 11 12 13 14 14 13 12 10 9 8 7 7 7 7 8 8 8 8 7 4 2 0 1 6 14 20 21 19 14 10 7 6 6 8 8 9 nan
nan 7 6 6 6 5 5 6 8 9 8 8 7 6 6 5 5 6 7 7 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 11 13 16 21 26 29 28 24 17 11 8 6 6 7 9 11 15 19 21 22 23 22 20 16 12 9 5 3 1 2 7 13 18 20 21 19 18 17 17 18 17 15 13 11 10 9 10 11 11 11 10 8 7 7 7 8 10 12 14 13 11 8 6 4 3 3 3 5 8 9 10 9 8 7 8 9 9 9 8 8 8 9 10 10 10 10 9 8 8 9 10 10 11 11 11 10 10 9 9 9 9 10 10 10 10 11 11 11 12 12 13 14 14 14 13 12 11 11 11 11 12 12 11 11 10 9 9 10 11 12 13 13 12 11 9 8 7 6 5 6 6 6 5 4 4 2 1 3 7 15 21 22 20 16 12 8 6 6 6 7 8 9 nan
nan 8 6 6 5 5 6 6 8 9 8 7 7 6 6 6 6 6 6 7 8 8 8 7 7 7 7 8 8 8 8 9 9 9 10 9 9 9 9 9 9 9 11 12 15 20 25 28 27 22 15 9 7 6 6 7 10 12 15 17 20 21 23 24 22 17 13 9 5 2 1 1 5 10 14 16 17 16 16 17 19 20 20 18 16 14 12 12 12 11 11 10 9 8 7 8 9 11 14 17 16 13 7 3 1 1 1 3 5 6 8 10 10 10 9 8 8 8 9 9 8 8 8 9 9 10 10 10 9 9 9 10 10 11 12 11 10 10 9 9 9 9 9 9 9 8 8 10 11 12 12 13 13 14 14 14 13 13 13 13 12 13 13 13 13 12 11 10 9 9 10 11 14 16 17 17 15 13 10 7 5 4 3 2 1 1 2 2 3 8 14 21 23 21 17 13 10 8 7 7 7 7 8 8 nan
nan 8 6 5 5 5 6 7 8 9 8 7 6 6 6 6 6 6 6 7 7 8 7 7 7 7 7 7 8 8 8 8 9 9 10 10 9 9 9 9 9 9 10 11 14 19 23 27 26 21 14 9 6 5 5 6 9 12 14 16 18 20 22 24 23 18 12 8 4 1 0 0 3 7 11 13 14 14 14 16 18 20 21 21 19 18 18 18 17 16 14 12 11 10 10 12 14 17 20 21 19 12 4 -1 -3 -1 2 6 10 12 12 12 11 9 8 8 7 7 8 8 8 8 8 9 9 10 10 10 10 9 9 10 11 11 11 11 10 9 8 9 10 11 11 10 9 8 7 8 10 11 11 12 13 13 13 13 12 12 12 13 13 13 13 13 13 13 12 12 11 11 11 14 17 21 24 25 23 20 16 12 7 4 2 0 1 2 4 6 9 13 18 21 20 16 13 10 9 9 9 8 8 8 7 8 nan
nan 9 7 5 4 5 7 8 9 8 8 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 10 9 9 9 9 9 10 11 13 18 23 26 27 22 15 11 8 6 5 6 8 12 14 16 17 19 21 23 23 19 13 9 5 3 2 1 3 6 9 11 12 12 12 12 13 14 14 15 17 18 20 21 22 21 19 17 15 14 16 18 21 23 23 23 19 9 1 -5 -6 -2 5 12 18 20 18 15 12 9 7 6 5 5 6 7 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 8 8 9 10 11 12 12 11 9 8 7 8 9 9 11 11 12 11 11 10 10 11 12 13 13 13 13 13 13 13 14 14 15 16 18 20 22 24 25 24 23 20 15 9 4 2 2 4 8 11 14 15 17 18 16 14 11 9 9 9 10 10 9 9 8 7 8 nan
nan 10 8 5 5 6 7 8 9 8 7 6 6 5 6 6 6 6 6 6 6 6 6 7 7 7 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 10 12 17 23 27 29 26 19 14 10 8 7 7 8 12 15 17 18 20 22 24 24 22 17 13 10 8 5 4 4 6 8 10 11 11 10 9 9 8 8 8 9 12 15 18 19 19 18 16 15 16 20 23 25 26 24 21 15 5 -3 -7 -8 -2 8 18 24 25 22 18 13 9 6 4 4 3 4 6 7 8 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 9 10 11 12 14 14 12 10 8 6 6 7 9 10 11 11 11 10 10 10 12 13 13 14 14 13 13 14 15 17 18 20 21 21 20 19 19 19 19 18 15 9 5 4 6 10 14 17 18 17 16 14 12 10 8 8 8 10 11 11 10 9 8 8 8 nan
nan 12 9 7 6 7 8 8 9 8 7 7 6 6 5 5 5 6 6 6 5 5 6 6 7 8 8 8 7 7 7 7 7 8 8 9 9 9 10 10 10 9 9 10 12 15 22 28 30 29 22 15 12 10 8 7 9 11 14 16 18 20 23 25 26 25 23 19 16 13 10 6 5 6 7 9 10 10 9 8 7 6 6 5 6 7 9 11 12 11 10 8 8 11 17 23 26 25 22 16 10 2 -4 -6 -5 -0 10 19 23 24 22 18 14 10 7 4 3 3 4 6 8 9 9 9 9 9 9 9 10 10 10 9 9 9 8 8 7 7 8 8 9 10 12 14 16 15 13 10 7 5 5 7 9 11 12 13 13 12 12 12 13 13 14 14 14 14 14 16 18 20 21 22 21 18 15 14 14 14 13 12 9 7 8 10 13 17 18 17 15 12 11 9 8 8 8 9 10 11 11 10 10 9 8 7 nan
nan 14 12 10 9 9 9 9 9 9 8 7 7 6 5 5 5 5 5 5 5 5 5 6 7 7 8 8 8 8 7 7 7 8 8 8 9 9 9 10 10 10 10 10 12 14 19 26 31 29 25 18 13 11 9 8 8 10 12 14 16 18 20 21 23 24 22 20 18 15 12 8 6 6 6 7 8 8 7 7 6 6 6 6 6 6 7 7 6 5 4 3 4 7 14 20 23 24 21 14 8 3 -1 -3 -1 3 9 15 18 19 19 17 15 12 9 6 4 4 4 6 9 10 11 10 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 8 10 12 14 15 14 12 9 6 5 6 9 12 14 15 15 15 14 13 12 11 12 12 13 14 15 17 19 20 21 21 19 16 13 12 11 10 10 10 9 8 9 11 12 14 15 13 12 10 9 9 8 8 9 9 10 10 10 10 10 9 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
23 18 14 12 13 14 16 18 21 26 25 21 18 17 21 27 28 24 20 16 12 9 9 11 12 15 17 18 19 20 21 16 13 10 8 7 7 8 9 9 10 9 7 7 9 9 8 8 8 8 8 9 9 10 14 18 18 16 9 8 7 7 7 7 7 6 6 6 6 6 6 6 6 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 3 3 3 3 3 3 3 3 3 3 1 4 77 202 406 670 863 793 439 169 59 26 18 14 12 8 1 0 5 11 12 31 52 72 105 154 238 356 480 574 616 629 688 804 946 1049 1073 1022 938 873 850 858 911 1025 1247 1457 1417 1068 973 925 899 883 828 1027 1321 1004 897 869 908 1226 1438 1402 1280 1234 1208 1329 1507 1665 1323 1005 966 956 961 949 945 905 854 799 737 669 607 558 529 514 499 488 487 489 489 486 496 463
24 21 16 15 14 15 17 19 20 22 21 20 18 18 21 27 31 27 21 17 15 14 12 11 10 11 13 16 20 24 26 22 19 17 12 9 10 11 11 9 9 8 8 8 9 9 8 8 8 8 8 9 10 13 18 18 16 12 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 5 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 3 3 3 3 3 3 3 3 3 3 3 6 27 132 281 516 775 898 739 358 91 34 22 23 24 21 16 6 0 0 0 9 26 49 81 133 205 292 383 462 511 532 553 611 717 874 990 1036 991 900 834 813 837 903 1003 1127 1195 1097 886 858 837 753 632 552 606 749 807 830 847 923 1233 1382 1284 1154 1149 1191 1339 1443 1449 1146 945 905 896 887 870 859 825 773 721 672 624 583 555 536 537 551 537 521 508 487 477 492 463
20 20 17 15 14 15 16 18 20 22 21 20 16 14 17 23 26 24 17 14 13 14 14 13 10 8 9 10 11 15 19 19 20 22 14 12 13 13 11 9 9 10 9 9 9 8 8 9 8 8 8 8 9 11 13 14 16 11 8 8 7 7 8 7 6 6 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 4 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 2 5 28 95 201 398 671 862 882 662 302 63 22 23 28 28 24 18 11 0 0 0 3 19 47 95 169 258 333 376 400 414 435 477 548 652 800 917 962 917 845 800 797 826 870 898 888 849 765 672 647 641 574 483 419 482 654 795 833 839 890 1030 1086 1052 1053 1121 1205 1280 1244 1100 964 889 860 842 813 771 724 688 659 638 618 593 573 564 559 552 537 561 560 530 497 480 486 474
17 17 15 14 14 14 14 16 18 19 22 24 19 12 12 17 22 24 18 13 11 11 12 12 11 9 7 7 7 8 9 10 12 15 12 13 14 14 12 11 11 12 10 9 9 8 9 9 8 8 9 9 9 9 9 11 16 9 7 7 7 8 11 8 6 6 6 6 6 6 6 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 2 2 2 2 2 3 3 3 3 3 3 3 3 3 2 3 15 63 151 271 487 795 891 797 541 241 51 20 27 33 29 22 16 8 0 0 0 0 18 53 116 204 294 350 355 336 326 342 390 467 571 694 803 851 832 790 756 739 728 701 656 627 599 565 525 491 465 436 416 442 564 755 863 857 823 833 873 900 934 1014 1106 1150 1115 1003 888 854 827 798 757 703 647 608 594 596 602 604 595 585 581 577 564 520 531 545 540 525 516 513 501
16 14 11 11 12 12 12 14 16 18 23 26 24 18 15 17 27 31 29 23 16 10 11 12 13 12 11 11 12 10 8 7 8 10 11 11 13 14 14 14 13 13 12 11 11 9 9 9 8 7 8 9 9 9 9 9 10 7 7 7 7 9 10 8 6 6 6 6 6 6 6 5 4 4 4 4 4 5 4 4 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 3 2 5 28 92 179 311 549 880 851 601 335 133 34 20 30 35 26 18 13 9 3 0 1 4 25 63 129 209 277 306 293 266 252 264 307 379 471 575 678 759 788 768 717 654 585 515 458 448 450 437 403 360 326 333 414 584 724 814 816 770 746 773 826 866 905 977 1030 1009 921 823 776 770 756 718 658 596 552 539 559 588 609 618 617 611 601 591 576 545 570 568 572 573 575 572 547
14 12 9 10 10 10 11 14 16 17 21 25 25 27 29 27 33 38 35 26 18 12 11 13 15 13 12 13 15 16 14 10 8 7 7 8 11 14 15 15 14 13 12 12 10 10 10 9 8 7 8 8 8 8 7 7 7 7 8 7 8 10 11 10 8 7 6 6 6 6 6 5 4 4 4 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 2 3 26 92 182 335 526 682 643 364 157 59 23 21 29 30 23 14 12 11 6 1 3 13 34 66 116 169 205 216 211 202 200 215 250 303 368 448 550 663 741 745 680 582 483 401 346 330 335 322 286 245 222 273 435 661 745 691 614 576 606 687 778 848 902 916 883 813 749 714 705 686 657 605 544 503 494 514 548 579 601 617 625 629 627 623 625 633 656 631 618 624 625 606 568
12 11 9 8 9 9 11 14 18 19 21 23 27 32 28 24 26 31 31 27 21 15 13 13 14 13 11 11 14 17 17 13 9 7 7 8 10 13 15 16 14 12 11 10 9 9 8 8 8 8 9 8 8 8 7 6 6 7 7 7 7 11 15 15 13 9 7 6 6 6 5 5 4 4 4 4 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 2 5 23 104 235 413 498 468 355 186 63 28 17 21 25 25 20 14 13 13 9 5 7 17 33 57 85 111 133 150 164 170 178 193 220 250 281 326 406 522 634 680 630 531 427 341 283 251 231 213 188 168 174 256 411 556 588 485 406 411 485 597 712 804 857 742 610 559 565 581 576 545 507 463 432 430 455 492 520 536 552 578 588 611 639 651 660 675 664 642 632 620 598 568 537
13 11 11 10 10 11 11 16 20 23 24 23 21 19 19 19 19 23 29 32 30 23 16 14 13 12 11 9 12 14 14 13 11 10 10 11 13 15 16 15 14 12 10 10 9 9 9 10 10 9 9 8 7 7 6 6 6 6 5 6 7 9 15 18 17 13 8 6 5 5 4 4 4 4 4 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 2 4 16 62 177 403 555 480 314 169 80 35 18 15 19 21 21 18 17 16 16 15 13 13 18 27 43 60 76 100 130 153 164 171 185 205 219 227 241 282 368 479 558 559 481 381 294 233 195 167 144 126 128 162 243 339 384 340 272 250 299 397 517 614 656 607 395 245 273 347 393 392 365 338 325 341 373 409 446 467 473 485 504 509 565 612 617 607 604 606 610 603 570 526 495 475
15 13 14 13 13 12 12 16 20 23 26 25 22 20 21 23 22 28 34 36 33 26 19 18 18 14 11 9 8 11 11 11 11 12 14 16 14 13 13 13 13 12 11 10 10 9 9 10 10 7 8 8 7 7 7 6 5 5 4 5 6 7 10 13 12 9 7 6 5 4 3 3 4 4 4 4 4 5 4 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 3 3 2 1 5 33 116 304 600 635 389 196 86 37 21 17 18 20 20 19 18 18 20 22 22 19 16 16 21 33 50 68 90 122 144 155 162 173 189 199 199 196 209 261 347 429 458 412 328 261 216 186 159 132 112 112 152 218 255 242 193 153 156 227 333 417 445 393 261 103 43 84 156 203 215 209 214 244 296 351 390 411 420 425 429 433 445 533 549 516 490 493 517 543 543 496 451 436 423
13 14 16 15 13 11 13 16 19 22 25 27 23 20 22 28 29 36 37 33 27 21 17 17 20 17 15 14 13 13 13 14 15 15 17 19 16 14 13 12 12 12 12 11 10 10 9 9 8 8 8 8 8 8 7 6 6 5 4 5 5 5 5 5 6 6 6 5 4 3 2 3 3 4 4 4 4 4 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 3 2 0 8 51 162 389 606 508 256 111 46 22 15 15 16 16 13 12 13 17 23 29 34 26 17 14 19 33 53 73 90 112 130 138 143 152 167 177 177 170 173 210 274 335 358 328 270 233 213 198 176 146 120 107 125 168 189 177 138 108 125 208 299 288 216 126 50 10 2 14 57 90 107 131 177 239 296 330 348 368 384 391 391 398 436 509 468 412 399 432 479 506 496 461 438 423 398
15 15 16 16 14 11 13 16 20 23 24 28 25 19 23 30 32 30 27 24 21 17 15 15 17 19 19 18 15 13 15 21 22 18 17 16 15 15 15 14 12 11 11 11 11 11 11 10 9 8 8 8 8 8 7 6 6 5 5 5 6 5 5 5 6 6 6 5 4 3 3 3 4 4 4 4 4 4 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 2 2 1 14 78 209 391 458 339 177 67 27 12 7 7 8 5 1 2 4 15 28 38 40 28 17 13 22 42 66 85 96 107 121 125 123 129 142 155 160 157 163 195 243 284 296 276 244 227 224 219 195 161 128 104 97 110 126 134 129 132 162 218 247 155 60 14 0 2 6 19 41 61 88 139 200 249 268 267 280 316 345 350 362 391 429 450 401 362 375 421 464 479 467 461 457 421 384
20 18 17 16 15 14 14 19 23 23 23 25 25 17 25 29 28 23 21 19 17 16 17 17 17 17 15 11 9 13 20 28 29 23 17 12 11 13 15 16 14 12 11 11 11 11 11 10 8 9 8 8 9 8 7 6 5 5 5 4 5 4 4 4 5 6 5 4 3 2 2 2 3 3 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 2 2 2 2 2 2 2 2 2 9 39 124 283 397 341 216 113 47 13 3 2 14 17 5 0 0 1 16 30 34 31 23 16 14 28 55 82 98 103 107 119 121 117 120 133 147 156 161 168 191 227 259 272 264 247 239 238 233 202 162 126 101 90 97 125 165 197 213 205 182 137 51 11 2 5 19 41 61 72 83 117 164 200 213 205 201 225 271 298 310 336 371 392 382 351 337 360 393 413 421 439 474 470 427 384
23 21 18 19 19 17 17 22 27 23 23 23 24 23 21 22 23 24 23 20 17 16 16 15 15 13 10 8 9 14 21 27 27 21 14 10 10 12 15 16 14 12 12 11 11 12 11 9 9 8 8 8 9 8 6 5 5 5 4 4 4 3 3 4 5 4 3 3 3 3 3 3 3 3 2 2 3 2 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 5 26 91 222 414 474 316 169 77 30 7 0 6 67 113 58 0 0 2 14 21 17 12 11 12 18 33 62 98 124 128 124 126 122 125 133 144 152 157 160 165 175 199 233 257 262 252 239 228 213 180 142 114 102 115 154 217 282 302 256 167 90 41 8 3 10 32 58 84 101 105 111 128 149 160 166 185 226 276 289 277 281 315 343 340 310 284 281 302 322 325 342 368 417 504 478 414
19 20 20 19 18 16 18 23 26 24 27 23 18 15 16 18 24 27 23 20 17 16 16 18 17 14 12 12 15 19 21 21 19 15 12 10 10 12 14 15 14 12 11 11 12 12 10 9 9 8 9 8 9 8 6 5 4 4 4 3 3 3 3 3 4 3 2 2 2 3 4 4 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 1 1 2 2 2 4 13 49 151 331 526 548 311 153 65 24 6 1 10 79 160 65 0 0 1 5 7 2 0 2 8 16 32 58 104 154 168 155 134 121 128 142 145 144 141 141 146 156 174 202 229 242 240 228 210 181 153 119 105 119 166 232 296 333 297 175 71 20 5 4 18 42 67 79 85 90 94 99 106 113 124 156 238 330 372 328 262 228 263 284 270 239 216 213 230 261 275 302 346 408 486 516 449
19 18 19 18 17 16 19 23 24 24 26 22 16 14 15 19 24 26 21 18 16 15 18 24 25 20 15 14 19 23 23 20 16 13 12 12 13 14 16 16 14 12 11 11 12 11 10 9 9 9 8 9 9 8 6 5 4 4 4 3 3 3 3 3 3 3 3 2 2 3 3 4 3 3 3 3 3 3 4 4 3 3 3 3 3 3 2 2 2 2 2 2 1 2 2 2 2 2 1 0 0 0 1 2 2 6 18 40 69 106 202 374 540 542 332 171 82 32 7 0 2 9 20 4 0 0 0 0 0 0 0 0 3 9 22 46 87 136 154 135 106 91 99 113 116 113 110 116 132 153 171 185 195 207 214 207 188 161 127 97 104 148 200 233 226 184 129 42 11 1 4 18 39 58 62 57 54 58 70 82 89 91 101 151 268 348 355 300 224 173 182 195 194 184 176 181 202 228 259 284 331 401 469 506 469
15 18 19 18 17 17 21 22 21 20 20 19 17 17 19 23 27 28 24 16 15 14 15 21 25 22 14 9 13 17 18 17 15 13 13 15 17 17 18 18 14 13 12 12 11 10 9 10 9 8 8 8 9 8 6 4 4 5 5 4 3 3 3 3 3 3 3 3 2 3 4 4 4 3 3 3 4 4 4 3 3 3 3 3 3 2 2 2 2 2 1 1 1 1 2 1 2 2 2 1 1 1 2 1 6 38 97 167 219 228 253 343 483 502 350 202 95 33 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 30 59 86 97 76 59 55 61 72 80 87 91 104 130 160 178 180 172 177 184 181 166 142 114 95 113 155 172 149 97 43 10 1 5 10 19 27 33 33 26 20 25 42 67 94 107 97 84 114 194 234 245 235 198 159 144 146 147 150 168 208 247 231 238 272 313 358 415 471 486
13 18 20 19 17 17 18 18 15 16 18 19 21 21 22 26 30 30 24 17 17 18 18 18 17 15 10 10 15 16 16 16 15 14 14 16 18 19 19 18 13 12 11 10 10 10 9 9 9 9 8 8 8 7 5 4 5 5 5 5 4 3 3 3 4 3 3 4 3 4 5 4 4 4 4 3 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 1 2 1 0 24 101 213 317 374 369 309 316 420 409 288 159 58 12 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 15 31 42 43 35 34 38 47 61 76 93 101 107 123 146 160 158 148 146 150 153 141 123 110 108 122 137 120 78 35 10 5 9 22 25 22 16 10 7 4 4 14 41 82 122 130 104 76 73 97 124 144 153 150 141 132 128 124 133 174 242 294 267 236 268 312 355 398 450 497
14 17 19 18 17 16 16 16 16 15 19 21 21 20 22 26 30 29 24 21 23 27 25 19 14 10 8 10 16 22 23 21 18 17 17 18 19 18 17 15 12 11 10 9 10 10 9 9 9 8 9 8 7 6 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 5 5 4 4 3 3 4 3 3 3 3 3 3 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 3 4 10 49 144 254 338 379 369 301 285 333 274 162 66 15 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 10 10 11 22 33 48 69 90 107 113 108 106 112 120 120 113 108 109 127 129 121 118 121 127 126 107 83 63 42 24 17 19 16 8 3 1 0 1 7 24 63 110 138 126 93 65 50 48 64 80 90 95 96 99 103 106 121 173 225 279 308 276 286 311 350 391 439 498
18 17 17 19 20 18 16 15 15 17 20 23 22 23 24 26 28 28 23 26 34 36 29 20 14 10 11 14 17 22 26 26 23 20 19 19 18 17 15 13 11 10 9 9 10 9 9 8 9 9 8 8 7 6 5 5 6 6 5 5 5 4 4 4 4 5 4 4 4 4 4 5 4 4 3 3 3 3 3 3 3 3 3 2 1 0 0 0 0 1 1 1 1 1 1 1 1 1 2 0 6 15 25 43 82 145 200 229 240 236 227 225 220 134 56 12 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 25 42 59 75 85 89 85 81 85 94 95 84 76 85 121 143 139 133 133 135 131 125 131 136 109 62 20 3 2 1 0 0 0 7 29 66 111 129 104 82 62 44 32 30 44 54 58 59 61 67 75 83 100 149 184 268 338 304 278 269 295 341 396 459
17 14 15 20 22 19 15 16 17 19 21 23 24 26 28 28 27 25 21 28 35 41 33 22 15 12 12 17 23 25 25 24 20 19 18 18 17 17 15 11 11 9 8 8 8 8 9 8 9 8 8 8 6 6 6 6 6 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 3 3 3 3 3 2 1 0 0 0 0 0 0 1 1 1 5 12 11 1 4 8 14 25 43 63 87 111 131 137 124 124 141 170 185 153 54 15 2 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 18 26 33 39 42 45 49 61 88 99 90 82 96 129 150 144 145 145 139 127 120 131 152 135 81 29 4 0 0 0 0 1 14 45 79 90 83 36 24 20 16 13 14 22 33 41 46 49 51 55 59 69 104 140 247 317 274 207 186 220 268 319 375
14 13 16 21 22 20 17 18 21 20 22 25 30 34 35 31 26 23 22 27 35 42 35 23 15 13 15 18 21 23 22 20 18 16 16 16 16 16 14 12 12 9 8 8 8 8 8 8 8 7 7 6 5 7 7 7 6 4 3 3 3 2 3 3 3 4 4 4 4 4 4 3 4 4 4 4 3 3 2 3 3 2 2 1 1 1 1 0 0 1 1 2 6 20 64 118 124 97 73 70 77 96 112 130 142 138 115 83 75 113 197 241 188 71 11 1 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 6 7 8 13 32 104 155 150 131 127 138 139 128 132 134 118 92 72 65 74 87 69 41 17 4 1 0 0 1 11 32 50 44 12 3 2 2 2 2 3 6 12 18 22 24 24 29 38 46 69 105 186 257 262 210 175 188 216 248 285
13 13 15 18 22 21 19 19 21 22 25 28 34 39 38 32 27 25 27 31 34 30 25 17 12 13 20 26 27 27 22 19 18 16 17 16 15 15 14 13 12 11 10 10 9 8 8 8 7 6 5 4 4 6 6 6 5 4 3 3 4 3 4 4 5 5 4 4 4 4 4 4 4 4 4 4 3 2 2 2 2 2 1 1 1 0 0 1 0 1 3 7 16 44 113 222 253 197 147 137 158 191 215 244 248 212 151 97 86 150 287 302 210 89 18 0 0 0 0 0 0 0 0 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 24 69 145 257 247 192 151 132 120 108 106 106 90 64 43 33 37 62 78 67 43 17 3 0 0 0 2 6 7 5 1 0 0 0 0 0 0 0 0 0 0 1 3 11 23 34 52 76 111 147 169 168 155 153 173 203 230
13 12 14 15 17 20 19 19 21 23 28 32 37 39 34 29 27 26 29 32 26 18 12 11 11 15 21 25 28 28 22 18 16 17 18 17 15 15 14 13 12 11 10 9 8 7 6 6 6 4 3 3 4 5 5 5 4 3 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 3 2 2 2 2 2 1 1 0 0 0 0 0 2 3 16 30 38 60 112 184 219 182 158 182 243 312 366 413 390 311 211 136 123 177 252 205 127 55 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 5 30 89 180 300 284 203 142 110 93 78 65 64 70 70 68 70 76 90 91 64 36 14 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 22 35 47 61 80 101 116 122 126 136 164 199
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12 17 19 18 17 15 14 13 14 17 20 19 19 18 16 16 17 17 16 14 13 12 13 12 12 11 10 9 8 8 8 7 6 7 7 8 7 5 6 6 5 5 4 4 4 4 4 3 3 3 3 2 2 2 2 2 1 1 1 1 1 1 1 3 9 19 5 8 15 49 86 83 37 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 23 66 102 40 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 5 4 1 0 1 9 39 92 155 195
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14 13 10 7 6 8 11 15 18 18 15 15 16 17 16 14 13 12 12 13 13 12 11 10 10 10 10 9 8 8 7 8 7 6 6 5 6 6 5 4 4 4 4 3 3 3 3 3 3 2 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 16 63 72 41 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 13 12 7 5 12 36 84 124 132 117
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