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 6 7 7 8 7 7 7 8 8 8 7 7 7 7 7 7 6 7 7 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 11 10 10 10 10 10 10 9 9 8 7 7 6 6 6 7 8 8 8 8 8 7 7 8 8 9 8 8 7 7 7 7 9 10 10 11 11 11 11 10 9 8 7 6 5 6 7 9 10 10 9 8 8 7 8 8 8 6 6 7 9 10 10 10 9 8 8 8 7 7 7 7 7 6 6 7 7 7 7 6 6 6 6 6 6 6 7 7 7 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 6 5 4 3 3 3 4 5 nan
nan 6 7 7 7 7 6 7 8 9 9 8 7 7 8 8 7 7 7 7 8 8 8 7 8 8 9 9 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 7 7 7 7 7 6 5 5 6 7 7 8 8 8 8 7 7 8 9 9 8 8 8 7 7 8 9 10 11 12 12 11 11 11 10 9 8 7 6 6 6 8 10 10 10 9 8 8 9 9 8 7 8 9 10 10 10 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 8 8 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 10 9 9 8 8 8 8 8 8 8 7 6 5 4 3 4 nan
nan 7 7 7 6 6 6 7 9 10 9 8 7 6 8 9 8 8 7 7 8 8 8 7 8 9 10 10 10 10 10 10 10 10 10 9 8 7 7 7 7 7 7 7 7 7 8 8 7 6 5 6 6 7 8 8 8 8 7 7 7 8 9 9 9 9 8 8 7 8 9 11 12 12 11 11 12 12 11 10 9 8 6 5 7 9 11 11 11 10 9 9 9 9 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 6 6 6 6 7 7 8 8 9 9 10 10 11 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 11 12 12 11 10 9 9 8 8 7 7 8 8 8 8 8 9 10 10 9 9 9 9 9 9 9 9 8 8 7 6 5 nan
nan 8 8 7 6 5 5 7 8 10 10 9 7 6 7 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 11 11 10 9 8 8 8 7 7 7 7 7 8 8 8 8 8 7 6 6 6 7 7 7 8 8 8 7 7 7 9 10 10 10 9 8 7 6 7 8 10 11 10 10 11 12 12 11 11 9 7 5 7 10 12 13 13 12 11 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 7 7 7 7 8 9 9 10 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 13 13 13 13 13 12 11 11 10 10 9 8 8 7 7 7 7 7 8 8 9 9 10 10 10 9 9 9 9 9 9 9 8 8 nan
nan 8 8 7 6 6 6 7 8 10 10 9 8 7 7 8 8 7 7 8 8 9 9 10 10 10 10 10 9 10 10 10 11 11 11 10 10 9 9 8 8 7 7 8 8 9 9 9 9 8 7 7 6 7 7 7 7 7 7 7 6 6 7 8 9 9 9 7 6 5 5 6 7 8 8 8 8 9 10 11 11 10 8 7 8 9 11 13 14 14 13 12 11 11 10 10 10 10 9 9 9 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 8 8 9 9 9 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 14 15 15 15 15 15 14 13 12 13 12 12 12 10 10 9 8 7 7 7 7 7 7 8 8 9 9 10 10 9 9 9 9 9 9 9 9 nan
nan 8 8 7 6 6 7 8 8 9 9 9 9 8 8 8 7 7 8 8 9 10 10 11 10 10 9 9 9 9 9 10 10 10 10 11 11 10 9 9 8 8 8 8 8 8 9 10 10 9 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 6 5 4 4 4 5 6 7 7 7 7 8 9 10 10 10 9 9 8 9 11 12 13 13 13 13 13 13 12 12 12 11 10 10 9 9 9 9 9 9 8 8 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 13 13 14 15 15 15 15 14 13 13 13 13 14 13 13 13 12 11 10 9 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 nan
nan 9 8 7 7 7 7 7 7 8 9 9 9 8 7 8 8 8 8 8 8 9 10 11 11 10 9 9 8 8 8 8 8 8 9 10 10 9 9 8 8 8 8 7 7 8 9 9 9 9 8 7 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 5 4 4 4 5 6 6 6 7 7 7 7 8 9 10 10 9 8 7 8 9 10 12 13 14 14 14 14 14 14 13 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 11 11 11 11 11 11 12 12 12 13 13 13 13 12 12 11 11 12 12 13 13 13 14 14 13 12 11 10 9 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 8 nan
nan 9 8 8 8 8 8 7 7 7 8 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 8 8 7 7 7 7 8 9 8 8 8 8 8 9 8 7 7 7 8 9 8 8 7 7 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 6 6 7 6 7 7 7 6 6 7 8 9 8 7 7 6 7 8 10 11 12 12 13 14 15 15 15 14 14 13 13 12 12 11 11 11 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 10 10 9 9 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 11 11 12 13 14 14 13 12 11 11 10 9 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 nan
nan 9 8 8 9 9 8 7 7 7 8 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 7 7 6 6 7 7 8 7 7 7 7 8 8 8 7 7 7 8 8 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 7 7 7 6 6 6 7 7 7 7 7 7 6 6 6 6 7 7 6 6 6 6 7 8 9 9 8 9 11 14 15 16 16 16 16 16 15 15 14 14 13 12 12 11 11 11 11 11 11 11 11 12 13 12 12 12 11 11 10 9 8 8 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 8 9 9 10 11 12 13 13 12 12 13 13 13 12 11 10 10 9 8 8 8 8 8 8 8 8 9 9 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 9 10 9 9 9 8 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 8 7 7 7 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 7 7 7 7 6 7 7 6 6 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 5 4 6 9 12 14 16 17 18 19 20 20 19 19 18 17 16 15 15 14 13 13 13 12 12 13 13 14 13 13 12 11 10 10 9 8 8 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 5 5 5 6 6 6 7 7 8 8 8 9 9 10 10 11 11 12 13 14 15 15 14 14 13 12 11 10 9 9 9 8 8 8 8 9 nan
nan 8 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 7 8 8 8 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 6 7 7 7 6 6 6 6 7 7 7 7 7 7 6 5 6 6 7 7 7 6 6 6 6 7 7 8 7 6 7 7 8 7 6 6 7 7 7 7 7 4 3 4 7 9 12 16 19 21 23 24 24 24 24 23 22 21 20 19 18 17 16 15 15 15 14 14 14 14 13 12 11 10 10 9 9 8 8 8 8 7 7 7 6 6 5 5 5 4 3 3 3 3 2 2 2 2 2 3 3 3 4 4 4 5 6 6 7 7 8 9 9 9 9 9 10 12 13 15 15 15 15 15 15 14 12 12 11 10 9 9 9 9 9 nan
nan 8 6 6 7 8 8 8 8 8 8 9 9 8 8 8 8 9 10 9 9 9 9 8 8 8 7 8 8 8 8 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 8 7 7 7 6 7 7 7 7 6 6 6 6 7 7 7 7 7 7 6 5 5 6 7 7 7 7 7 7 7 8 9 8 7 7 9 9 8 8 8 8 8 8 8 7 6 5 5 6 7 9 14 18 22 25 26 27 27 27 27 27 26 25 23 22 21 20 18 18 17 16 15 14 14 13 12 11 11 10 10 10 9 9 9 8 8 8 7 7 6 5 5 4 3 3 2 2 2 2 2 1 1 1 1 2 2 2 3 3 3 4 4 5 6 6 7 8 8 9 9 10 11 12 13 13 14 15 14 14 14 14 13 13 12 12 11 11 10 10 nan
nan 8 7 6 7 8 8 8 7 8 8 9 9 9 8 8 9 10 10 10 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 6 6 7 7 7 7 7 7 6 6 6 6 7 7 7 8 7 7 8 9 9 8 7 8 9 10 9 9 9 9 9 9 8 8 8 8 8 7 6 6 9 13 18 22 24 25 26 27 27 27 27 26 25 24 23 22 20 19 18 17 16 15 14 13 13 12 12 12 11 11 10 10 10 9 9 8 8 7 6 5 5 4 3 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 3 3 4 4 5 5 6 7 8 9 10 11 11 11 12 12 13 12 12 13 13 14 14 14 14 13 13 12 12 nan
nan 9 8 7 7 8 8 8 7 8 8 8 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 8 8 8 7 7 7 8 8 8 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 6 7 7 7 8 7 7 7 6 6 6 7 8 8 8 8 9 9 9 9 9 8 9 10 10 10 9 9 9 10 10 10 10 10 10 9 9 7 4 3 5 10 15 19 20 22 23 24 24 25 24 24 23 23 22 21 20 19 18 17 16 15 14 14 14 13 13 13 12 12 11 11 10 10 9 8 7 7 6 5 4 4 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 6 7 8 9 10 10 10 10 10 10 10 10 11 12 12 13 14 14 14 14 13 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 8 8 7 7 7 7 8 8 8 9 9 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 7 7 8 7 7 7 6 7 7 8 7 7 7 7 6 7 7 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 12 12 11 11 11 11 11 11 10 6 1 -2 0 6 12 14 15 16 17 18 19 19 20 20 20 20 19 19 19 18 18 17 16 16 16 15 15 15 14 14 13 13 12 12 11 10 9 9 8 7 6 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 5 6 6 7 8 8 8 8 9 9 8 8 9 10 10 11 12 12 13 13 nan
nan 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 8 8 8 9 10 9 8 7 7 6 6 7 7 8 8 8 7 7 8 7 7 7 7 7 8 8 7 7 7 7 7 8 8 7 7 7 7 7 8 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 11 12 13 13 12 11 11 11 10 10 10 8 2 -4 -6 -1 5 9 10 10 11 12 12 13 14 15 15 15 15 16 16 16 16 16 16 16 16 16 16 16 15 15 15 14 14 13 13 12 11 10 9 8 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 6 7 8 8 8 8 9 9 9 9 9 10 10 11 nan
nan 8 9 9 9 8 8 9 8 8 8 8 8 7 7 8 8 9 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 9 9 9 8 7 7 6 6 7 8 8 8 8 8 8 8 8 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 10 11 10 9 8 9 9 9 9 9 9 10 11 12 12 12 11 10 10 9 9 8 8 8 4 -3 -7 -6 -0 4 6 6 6 6 7 7 8 9 9 10 10 11 11 12 12 13 13 13 13 14 14 14 15 15 15 15 15 15 14 14 13 12 11 10 9 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 5 4 4 4 4 4 4 4 5 6 7 7 9 9 10 10 10 9 8 9 9 nan
nan 8 9 10 9 8 8 9 9 8 8 8 7 7 7 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 8 8 7 7 7 6 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 8 8 8 8 9 9 9 9 9 9 10 10 9 9 9 9 8 8 7 7 7 8 6 1 -6 -8 -5 -1 3 4 5 4 4 4 5 5 6 6 6 6 7 8 8 9 9 10 10 10 11 11 12 12 13 13 14 14 15 14 14 14 13 12 11 10 9 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 7 8 9 10 11 10 10 9 9 9 nan
nan 8 10 11 10 9 9 9 9 9 8 7 7 7 8 9 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 7 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 7 7 7 7 8 8 8 8 8 8 7 7 6 6 7 7 8 8 8 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 8 4 -2 -7 -8 -6 -2 1 3 3 3 3 4 5 5 5 5 5 5 6 6 6 7 7 7 7 8 8 9 9 10 11 11 12 13 13 14 14 14 13 12 11 10 9 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 6 6 8 9 10 11 10 10 11 11 11 nan
nan 8 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 7 7 6 7 7 8 8 8 9 9 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 9 9 9 9 8 7 6 6 7 7 7 7 8 9 9 8 7 6 6 6 6 7 7 7 7 7 8 9 9 8 7 4 -1 -6 -7 -6 -3 -1 -1 -0 0 2 4 6 6 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 9 10 11 12 13 13 13 13 12 11 10 9 9 9 9 9 10 10 10 10 9 9 8 8 7 7 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 10 11 11 11 11 11 11 11 nan
nan 9 10 10 10 10 9 9 9 9 8 8 8 8 8 8 9 8 8 8 7 7 7 7 7 7 7 8 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 7 7 6 6 7 7 7 7 7 7 8 8 8 8 9 9 8 8 7 7 7 7 7 7 7 8 9 9 8 7 6 6 6 6 7 7 7 7 8 8 9 9 7 7 7 4 1 -3 -4 -3 -1 -2 -4 -4 -3 2 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 7 7 7 7 8 10 11 12 13 13 13 12 11 10 9 9 9 9 10 11 11 11 11 10 10 9 9 8 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 7 8 9 10 10 11 12 12 13 13 13 12 12 10 nan
nan 9 9 10 10 10 9 8 8 8 8 8 8 8 7 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 6 6 6 6 6 6 7 7 7 6 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 6 7 8 8 8 7 8 8 8 7 6 7 8 7 6 4 2 2 3 2 -2 -6 -7 -3 3 6 6 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 11 12 12 12 12 10 9 8 8 8 8 9 10 11 11 11 11 11 10 9 8 8 7 6 6 6 6 6 6 5 5 4 4 4 5 7 9 11 13 14 13 13 13 14 14 15 14 13 11 nan
nan 9 9 9 10 10 9 8 8 8 8 8 8 7 7 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 9 9 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 6 6 6 5 6 7 8 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 8 8 8 8 8 8 9 8 7 7 7 8 8 8 8 7 6 7 6 3 -4 -8 -6 -1 2 5 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 10 10 11 12 12 12 11 9 8 7 6 6 6 8 9 10 10 11 11 11 10 9 9 8 7 6 5 5 5 5 5 4 4 3 3 4 6 10 13 14 14 13 13 13 13 14 15 15 14 12 nan
nan 9 8 9 10 10 9 8 8 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 8 8 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 6 6 5 5 6 7 7 7 7 7 7 7 8 9 9 9 9 9 8 8 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 7 7 7 8 8 8 8 8 8 8 8 7 5 1 -4 -6 -5 -3 1 4 6 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 11 12 13 12 11 10 9 7 6 5 5 6 7 7 8 9 10 10 10 10 10 9 8 7 6 5 5 4 4 4 3 3 3 4 6 10 12 12 11 10 10 11 12 13 14 14 13 12 nan
nan 8 8 9 9 9 9 8 8 8 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 7 8 9 9 8 8 8 8 8 8 8 9 9 9 7 7 6 6 6 6 7 7 7 6 6 6 7 8 10 10 10 9 9 9 9 8 7 7 7 7 8 8 8 8 7 7 7 7 6 6 7 7 8 8 9 9 9 8 6 6 7 8 8 8 8 8 9 8 8 7 6 4 1 -2 -5 -6 -4 -1 3 6 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 10 11 11 12 13 13 13 13 12 10 9 7 6 6 5 5 6 7 8 8 9 10 11 11 10 9 8 7 6 5 4 4 4 4 4 3 3 5 8 9 9 7 7 7 9 10 12 13 13 12 11 nan
nan 8 8 9 9 9 8 8 8 8 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 7 8 8 8 8 8 9 9 9 9 9 9 9 7 7 6 6 6 6 7 7 7 6 6 6 7 8 9 10 9 9 8 9 9 8 7 7 7 7 7 8 8 8 8 8 7 7 6 6 6 7 8 8 9 9 8 7 6 6 7 7 7 8 8 8 8 8 8 7 7 6 5 3 -1 -4 -6 -5 -2 1 4 6 6 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 10 11 12 13 14 14 14 14 13 11 9 8 7 7 6 6 7 7 7 8 9 10 10 10 10 9 8 7 6 5 5 5 6 5 4 3 4 5 6 5 5 5 6 7 9 10 12 12 12 11 nan
nan 8 8 8 8 9 9 8 8 7 7 7 7 7 8 8 10 10 9 9 8 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 7 8 7 7 8 9 9 9 9 9 9 8 7 7 7 7 7 7 8 8 8 7 7 6 6 7 8 9 8 8 7 7 8 8 8 7 7 7 7 8 8 8 8 7 7 7 6 5 6 7 7 8 8 7 7 6 6 6 7 7 7 7 8 8 8 7 7 7 7 6 6 6 4 1 -2 -5 -5 -3 0 3 5 5 6 6 6 6 7 7 8 9 9 9 9 8 8 8 9 10 11 12 14 15 16 16 15 14 12 10 9 8 8 8 8 8 8 8 8 9 9 10 10 9 8 7 7 6 6 6 6 6 5 4 4 4 3 4 4 5 6 7 7 9 10 11 11 11 nan
nan 8 8 9 9 10 10 9 8 7 7 7 7 7 8 9 10 11 10 9 8 9 9 8 8 8 8 7 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 7 8 9 10 9 9 9 8 8 8 8 8 8 8 9 9 8 8 7 7 6 6 7 8 8 7 6 6 6 8 8 7 6 6 7 8 8 8 8 8 7 6 5 5 6 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 6 3 -1 -3 -3 -2 2 5 5 4 3 3 4 5 6 7 8 8 8 9 8 8 7 7 7 8 10 11 13 15 16 16 16 15 13 12 11 10 10 9 9 9 9 9 9 9 9 8 8 7 7 7 6 6 6 6 5 5 4 4 3 3 3 5 6 6 7 7 7 8 9 9 9 nan
nan 10 10 10 10 10 10 9 8 7 7 8 8 8 8 9 10 10 10 9 9 8 8 8 8 8 7 7 7 7 7 8 8 8 7 7 7 6 6 5 5 5 6 6 6 7 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 7 6 7 7 7 7 5 4 5 7 7 7 6 6 7 7 7 7 8 8 7 6 5 5 6 7 8 7 7 6 6 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 6 4 2 1 0 3 5 5 2 -1 -3 0 4 6 6 6 7 8 8 8 8 7 6 6 6 6 8 9 11 13 14 15 15 15 14 13 12 12 11 11 11 10 9 9 9 8 7 7 7 7 7 7 7 6 6 6 6 5 4 3 2 3 5 5 6 6 6 6 6 6 6 6 nan
nan 11 11 11 10 9 8 8 8 8 9 9 9 8 7 7 8 8 9 8 8 8 7 7 7 7 7 8 8 7 7 8 8 8 8 8 8 7 7 6 6 5 5 6 7 7 8 9 10 11 11 11 11 10 9 8 8 8 9 9 9 8 8 9 9 7 6 6 7 7 5 4 5 6 6 7 6 7 7 7 7 7 8 8 7 6 5 6 7 8 8 7 7 7 7 8 8 8 7 7 8 8 7 7 6 6 6 7 7 7 7 7 7 6 6 6 6 5 4 5 5 4 -0 -6 -6 -1 4 5 5 6 7 7 8 9 8 8 6 5 5 4 4 5 7 9 11 12 13 14 14 14 13 13 12 12 12 11 11 10 9 8 7 7 6 6 7 7 8 8 8 8 7 6 4 3 2 3 4 4 5 6 6 6 5 5 4 4 nan
nan 11 11 10 8 8 8 8 8 9 9 9 8 6 5 5 6 7 7 8 7 7 6 6 6 6 7 7 8 8 8 8 8 9 9 10 9 9 8 8 7 6 6 6 6 7 8 9 10 11 11 12 11 10 9 8 7 8 9 9 9 8 9 10 9 8 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 7 7 8 8 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 4 -0 -6 -8 -4 1 4 5 6 6 7 8 9 9 9 8 7 6 5 4 3 3 4 5 6 8 10 12 13 13 13 13 13 13 12 12 12 11 10 9 8 8 7 7 7 8 9 10 10 10 9 8 6 4 3 2 3 4 4 5 5 5 4 3 3 2 nan
nan 10 9 8 8 8 8 8 9 9 9 8 6 5 5 5 6 7 8 8 7 7 6 5 5 5 6 7 8 8 8 9 9 9 10 10 10 9 9 8 7 6 6 6 6 6 7 8 9 10 11 11 10 9 8 7 7 7 8 9 8 8 9 9 9 9 8 7 7 7 7 7 7 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 8 7 7 7 7 7 7 7 7 7 6 6 6 7 6 3 -4 -9 -8 -0 5 7 7 6 7 8 8 9 9 9 9 8 7 7 6 5 4 4 4 4 5 7 9 10 11 12 12 12 12 12 12 12 12 11 10 10 9 8 8 8 9 10 11 12 12 12 10 8 5 3 2 2 3 3 4 4 4 3 2 2 1 nan
nan 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 8 9 9 9 8 7 5 5 5 6 7 8 8 8 9 9 9 10 10 9 9 9 9 8 7 7 7 7 7 7 8 9 10 10 10 9 8 7 6 7 8 9 10 9 8 8 8 9 9 8 7 6 6 7 8 9 8 7 6 7 7 7 7 7 8 8 8 8 8 8 8 8 9 10 10 10 9 8 7 7 7 7 7 7 7 6 7 8 8 8 8 7 8 8 7 7 7 6 6 6 6 6 5 1 -5 -8 -4 4 8 8 7 6 7 8 9 9 9 9 9 8 8 8 8 8 7 6 5 5 5 5 6 8 9 11 11 12 12 12 12 12 11 11 11 10 10 9 9 9 9 10 11 12 13 13 11 10 7 4 2 1 1 2 2 2 2 2 1 1 1 nan
nan 10 11 11 11 10 9 8 8 8 8 8 8 9 9 9 8 9 10 10 10 9 8 7 7 6 7 7 7 8 8 8 8 9 9 9 8 9 9 10 9 8 7 7 7 7 8 9 10 10 10 9 8 7 6 7 8 8 9 10 9 8 7 7 8 8 8 6 5 6 7 9 10 9 7 7 7 7 7 7 8 9 9 8 7 7 6 6 7 9 11 11 10 8 7 7 7 7 7 7 6 6 7 8 9 9 9 8 8 8 8 8 8 8 7 6 6 6 6 3 -1 -4 -3 3 9 11 9 6 5 6 7 8 8 8 8 8 8 8 9 9 10 10 9 8 7 6 5 5 6 8 9 10 11 11 12 12 11 11 11 10 10 10 10 9 9 9 10 11 11 12 12 12 11 8 6 3 1 0 0 1 1 1 1 1 1 1 nan
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nan 10 10 10 9 8 8 7 8 8 9 9 10 10 9 8 8 8 9 9 10 10 10 10 9 9 8 8 8 9 9 9 9 8 8 8 8 9 9 8 7 8 8 9 8 7 8 8 8 8 9 10 11 11 10 9 9 8 7 6 7 7 8 8 9 9 9 8 7 7 8 9 9 10 9 8 8 8 8 8 9 9 10 9 8 7 7 9 9 8 7 7 8 8 8 8 9 10 10 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 4 0 -4 -5 -1 4 6 7 6 6 5 6 8 9 11 13 13 13 13 11 10 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 10 11 11 11 11 11 11 11 12 11 9 8 7 6 5 5 5 5 4 3 2 2 nan
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nan 15 15 13 12 11 10 10 10 9 9 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 8 8 8 8 8 9 9 9 10 10 11 10 10 9 9 9 10 11 10 9 9 8 8 8 7 8 10 10 10 10 10 10 10 10 10 10 11 12 11 11 10 10 10 10 9 9 9 9 9 9 9 11 12 12 10 10 9 9 8 8 8 8 8 8 9 9 9 9 10 11 10 10 10 11 11 12 13 15 17 19 19 18 16 13 11 12 14 16 19 20 20 18 15 13 12 12 12 12 11 10 9 7 6 6 5 4 4 4 4 5 6 6 7 7 8 9 9 9 9 10 nan
nan 12 10 10 9 9 10 10 11 10 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 8 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 9 9 9 9 8 8 9 9 10 10 11 11 10 9 8 8 8 10 11 10 9 8 7 6 7 7 9 10 11 10 10 10 11 11 11 10 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 11 12 11 10 10 9 9 9 9 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 8 5 3 2 2 4 7 9 10 10 9 10 12 13 12 10 9 7 6 4 3 2 2 1 1 1 2 3 3 4 5 5 6 6 7 8 9 9 nan
nan 9 9 8 9 10 10 11 11 10 9 7 7 6 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 7 7 7 6 7 9 10 9 8 7 7 7 7 8 9 9 10 9 8 8 9 9 9 8 8 8 9 9 9 10 10 9 9 9 10 11 11 11 10 10 11 11 11 11 10 9 9 9 8 8 8 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 7 5 1 -0 -1 -0 -0 1 3 6 8 10 9 8 7 6 5 4 3 2 1 1 1 1 1 1 2 3 3 3 3 4 5 7 8 8 nan
nan 8 8 8 9 10 10 10 10 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 8 7 7 6 6 5 5 6 7 6 7 8 8 8 7 6 6 6 7 7 8 8 8 7 8 8 9 8 7 7 8 8 8 9 9 9 9 10 10 11 12 12 12 12 11 11 11 11 11 10 8 7 7 7 8 9 9 10 9 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 11 12 15 16 16 13 10 7 6 4 6 8 8 9 8 8 8 8 7 7 6 5 4 4 3 3 3 3 4 4 4 3 3 2 2 4 5 7 7 nan
nan 9 9 9 9 10 10 9 9 8 7 7 7 8 8 9 9 8 8 9 9 9 9 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 11 10 8 5 3 3 5 5 6 6 7 8 8 8 8 8 8 8 8 7 6 5 5 7 8 8 8 9 9 10 11 10 9 9 9 9 8 9 9 10 10 11 12 13 13 13 13 12 11 10 10 9 9 7 6 5 5 6 8 9 10 10 9 7 7 6 6 6 7 8 9 9 10 10 10 10 10 10 10 10 10 12 14 16 19 21 21 19 18 19 19 21 20 18 16 16 15 15 14 12 11 9 8 7 6 6 8 10 11 11 9 6 5 4 4 4 5 6 7 nan
nan 9 9 9 10 9 9 9 8 8 7 7 8 9 9 9 9 9 9 9 9 9 8 7 7 6 6 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 11 11 11 10 8 6 2 -2 -3 -2 1 5 6 6 6 7 8 9 9 10 9 9 9 8 7 6 6 7 9 10 11 11 11 11 12 12 12 11 10 9 9 9 9 10 10 11 12 13 13 13 13 12 11 10 9 8 7 6 5 4 4 5 6 8 8 9 9 7 6 6 6 7 8 9 10 10 11 11 11 11 11 11 10 10 10 10 10 11 13 15 17 20 21 21 23 24 26 25 24 24 24 23 23 23 22 19 17 14 13 11 10 11 14 16 16 14 11 8 7 6 6 7 7 7 nan
nan 10 10 10 9 9 9 9 8 7 7 8 8 9 9 8 8 8 9 9 8 8 7 6 6 6 6 6 7 7 7 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 9 5 2 -1 -4 -7 -8 -6 -2 3 4 3 2 2 4 6 9 10 11 10 10 9 8 7 8 9 11 12 13 13 13 13 13 13 12 11 10 9 9 9 9 9 10 10 11 12 13 13 12 12 11 9 8 7 7 6 5 5 5 6 6 7 8 8 8 7 6 7 7 8 9 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 13 15 16 17 17 18 18 18 19 21 22 23 25 26 25 24 22 21 19 16 13 12 13 15 15 14 12 11 10 9 9 8 7 nan
nan 11 11 10 9 9 9 9 8 7 7 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 7 6 6 7 8 9 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 7 1 -4 -7 -7 -6 -5 -2 2 6 7 6 3 1 2 4 6 8 9 8 7 7 7 7 7 9 11 12 13 13 13 13 13 12 12 11 10 9 8 8 8 9 9 9 10 11 12 12 11 11 10 9 8 7 6 5 5 5 6 6 7 8 9 9 8 8 8 8 8 9 10 11 12 12 11 11 11 11 11 11 12 12 11 11 11 10 10 10 10 10 10 10 11 12 12 12 11 11 11 12 13 14 16 17 20 22 23 24 25 25 22 16 12 11 14 18 19 18 17 15 14 12 10 8 nan
nan 11 11 11 10 10 9 9 7 7 8 8 8 7 7 6 6 6 6 7 7 6 6 6 7 7 7 7 6 5 6 8 10 12 12 10 9 9 9 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 10 10 11 10 10 9 9 7 1 -4 -7 -6 -1 2 5 8 10 12 11 10 8 6 6 7 7 7 5 2 2 3 4 5 7 9 11 12 11 11 10 10 11 11 10 9 9 8 8 9 9 9 9 9 10 10 11 10 10 9 8 7 6 5 4 4 5 5 5 7 8 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 9 10 10 11 12 12 12 12 11 11 11 11 10 10 10 10 10 10 11 10 10 9 9 9 10 10 10 11 13 15 17 19 20 21 22 20 17 15 17 20 21 22 21 20 18 15 12 10 nan
nan 10 10 11 10 10 9 9 8 8 8 7 7 6 5 5 4 5 6 7 8 8 8 7 8 8 8 7 6 5 5 7 10 13 13 11 10 9 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 10 11 11 11 10 10 9 6 1 -1 -1 4 9 11 12 13 14 14 13 11 10 9 9 9 8 6 3 0 -1 -0 1 3 6 7 8 8 8 8 8 8 8 9 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 8 7 6 5 5 5 5 6 6 7 9 10 11 11 10 10 11 10 10 10 10 10 10 10 10 9 9 9 9 9 11 12 13 13 13 12 11 11 10 10 9 9 9 10 10 11 10 10 9 9 9 9 9 10 10 11 12 13 13 14 15 17 18 18 17 16 15 16 16 17 17 17 15 13 11 nan
nan 10 10 10 10 10 10 9 9 9 8 7 6 5 4 3 3 4 6 8 9 9 9 9 8 8 8 7 6 5 4 5 7 11 14 13 12 10 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 10 10 11 11 11 10 9 8 6 7 10 15 17 18 18 18 17 14 11 9 9 9 10 10 9 8 6 5 4 3 2 2 3 3 4 4 6 8 9 9 9 8 7 7 8 9 9 10 10 10 10 10 10 10 10 9 8 6 5 4 4 6 7 9 10 10 11 12 12 11 10 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 12 12 13 13 13 12 12 12 11 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 12 12 13 14 14 13 11 9 8 9 11 12 12 12 11 nan
nan 10 11 11 10 10 10 10 10 9 8 7 6 5 4 3 3 4 6 8 9 9 9 9 8 8 8 8 7 7 5 3 4 7 13 15 15 12 9 8 8 8 8 8 8 8 8 8 7 6 6 6 7 8 9 10 10 11 11 11 10 10 11 13 15 19 20 20 19 18 15 11 9 8 9 10 11 10 10 10 9 8 8 8 6 5 4 3 3 5 7 9 10 10 9 8 7 7 7 8 8 9 9 10 10 10 10 10 9 8 7 6 6 6 7 8 10 12 13 14 15 14 13 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 12 13 13 12 12 12 11 9 9 8 8 9 10 10 11 11 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 12 13 13 12 10 7 7 7 8 9 9 9 nan
nan 10 11 11 10 10 10 10 10 9 9 8 7 6 5 4 4 5 6 7 8 8 8 8 7 7 7 8 8 8 7 4 3 5 11 16 17 14 10 9 9 8 8 8 8 8 8 8 7 7 6 6 7 8 9 10 10 11 11 11 11 11 12 13 14 16 15 14 12 10 8 8 9 11 12 12 11 10 10 9 9 9 9 9 10 9 8 8 9 9 10 9 8 7 8 7 7 7 8 8 7 8 8 9 9 9 9 8 7 7 7 9 10 11 11 12 12 14 15 15 14 13 12 12 11 11 10 10 10 10 10 10 10 10 10 9 8 8 8 8 9 9 10 11 12 12 12 13 11 10 9 8 8 8 10 10 11 12 11 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 11 13 14 14 13 11 9 9 9 9 8 8 nan
nan 11 11 11 11 10 10 10 10 10 10 10 9 8 7 7 6 6 6 7 7 7 7 7 7 7 8 8 8 8 7 5 3 4 9 15 18 17 13 10 9 8 8 8 8 8 8 7 7 7 6 7 7 9 9 10 10 11 11 11 11 11 11 10 11 11 8 4 1 2 4 8 12 14 13 12 11 10 9 9 8 9 9 10 11 11 12 13 14 13 12 9 7 5 5 5 6 7 7 7 7 7 7 7 8 8 8 8 8 9 10 11 12 12 12 12 12 13 13 12 11 11 11 12 12 12 11 10 9 9 9 9 9 9 8 8 7 7 7 7 8 8 9 11 11 11 12 12 10 9 9 8 8 9 10 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 10 11 13 13 13 12 11 10 10 9 9 8 nan
nan 10 11 11 10 10 10 10 10 11 11 11 11 10 9 9 9 8 8 8 8 8 8 7 7 8 8 8 8 8 8 6 4 3 7 14 18 18 15 12 10 8 8 8 8 8 8 7 7 7 7 7 8 9 9 10 10 10 10 10 11 10 9 9 9 7 3 -2 -2 2 7 12 14 13 11 11 11 11 10 10 10 10 11 12 12 13 14 15 15 15 14 12 10 9 7 6 5 5 5 6 7 7 7 6 6 7 7 8 9 9 9 9 8 8 9 10 11 11 9 9 9 9 10 11 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 8 9 9 10 10 10 11 11 11 10 9 9 9 9 10 10 11 12 13 12 12 11 10 10 10 10 11 11 11 12 12 12 11 10 9 10 10 11 11 11 11 10 10 9 9 9 9 nan
nan 10 10 10 9 9 10 10 10 11 12 12 12 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 7 5 3 6 12 17 20 18 14 11 10 9 8 8 8 8 7 7 7 8 8 9 10 10 10 9 9 10 10 10 9 9 10 9 7 2 1 4 10 15 17 15 12 11 11 11 12 12 12 13 13 14 15 15 16 17 17 18 17 16 15 14 12 11 9 6 5 4 5 6 7 7 6 6 6 6 7 8 7 7 6 6 7 9 11 11 10 9 8 8 9 9 9 10 10 10 10 11 12 12 11 10 10 11 12 12 12 12 11 10 10 10 10 9 10 10 10 9 9 8 9 9 9 10 11 12 12 12 12 11 10 10 10 10 11 12 12 12 13 13 13 14 13 13 13 12 11 10 10 10 10 9 10 10 11 nan
nan 9 9 9 9 9 10 10 11 12 12 12 11 11 11 11 11 11 11 11 12 12 11 11 11 10 10 9 9 8 7 7 5 3 5 10 16 21 20 16 13 11 10 9 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 8 9 10 9 8 7 9 14 18 21 20 15 12 10 10 10 11 13 15 16 17 18 19 20 20 21 21 21 19 17 15 15 14 13 11 9 7 6 5 4 5 7 8 8 8 8 8 8 8 7 7 9 11 13 14 13 11 10 10 10 10 10 10 9 9 10 11 13 14 13 12 11 11 11 12 12 12 12 12 10 9 9 8 8 9 9 8 8 8 8 9 10 10 11 12 13 13 14 13 11 11 11 10 11 11 12 12 12 12 12 14 16 17 18 18 17 15 14 15 15 15 15 16 17 18 nan
nan 9 9 9 9 10 10 12 13 13 13 12 11 11 12 12 13 13 13 13 13 13 12 12 11 11 10 9 9 8 7 6 5 4 5 8 15 22 22 18 15 12 10 8 7 7 8 8 8 9 8 8 8 9 10 10 9 9 8 7 6 6 8 10 10 11 11 14 17 19 18 15 12 10 9 8 9 11 13 15 16 18 19 20 20 21 21 21 19 18 17 17 17 16 16 15 15 13 11 8 6 5 7 9 10 10 10 10 10 10 10 11 12 13 14 13 12 11 11 11 12 13 13 12 11 11 12 13 13 13 12 11 11 11 10 10 10 10 10 10 9 8 7 8 8 8 8 8 9 10 11 11 11 12 13 14 14 15 15 14 13 12 12 12 12 12 12 13 12 12 12 14 16 19 21 23 24 24 23 23 23 24 25 25 25 25 nan
nan 9 9 10 11 11 12 12 13 13 13 12 11 11 12 12 13 14 14 14 14 14 13 12 11 10 10 9 9 8 7 6 4 4 4 7 16 24 24 20 16 11 8 7 7 7 8 9 9 9 8 8 8 9 10 10 9 8 7 5 4 5 8 10 11 11 12 13 13 13 11 9 7 7 7 7 9 10 12 13 14 15 15 16 16 16 16 15 14 14 16 18 19 19 19 20 20 19 18 16 14 13 12 12 11 11 11 11 11 11 11 12 12 12 11 10 10 10 11 13 14 14 14 13 12 13 13 12 11 10 9 10 11 11 11 10 10 9 9 8 8 8 9 10 10 11 11 12 13 13 13 13 13 13 14 15 15 16 15 14 14 13 12 13 13 13 13 13 13 13 14 15 17 20 24 27 30 30 29 29 29 29 29 29 28 28 nan
nan 9 11 12 13 13 13 12 12 12 11 11 11 11 11 12 13 14 14 15 15 14 12 10 9 9 9 9 8 8 7 5 4 3 4 8 18 24 24 21 14 8 7 7 7 8 9 10 10 9 9 9 10 10 10 9 9 8 6 5 4 5 7 9 10 11 11 10 9 7 6 5 5 5 6 8 10 11 11 12 11 11 11 11 11 12 11 10 11 12 14 16 17 18 19 20 20 20 20 20 20 20 17 14 12 12 12 11 11 12 12 12 11 10 9 9 10 11 13 14 15 15 14 13 13 13 13 11 10 9 9 10 11 12 12 12 11 10 10 10 11 12 12 13 13 14 15 16 15 15 15 15 14 15 15 15 16 16 15 14 14 13 13 13 13 13 13 13 14 15 16 15 15 18 21 26 28 28 27 27 27 26 25 24 24 24 nan
nan 10 11 13 13 13 13 12 11 10 9 9 10 10 11 12 13 13 13 13 13 12 10 8 8 8 9 9 8 7 6 5 4 3 5 11 19 23 22 17 11 6 7 8 9 10 10 10 10 10 10 11 10 10 9 9 9 8 7 6 5 6 7 8 10 11 10 9 7 6 5 4 4 5 6 8 10 11 11 11 10 10 10 10 11 11 10 10 11 11 12 13 14 15 16 16 16 16 16 17 17 16 14 12 12 12 12 12 12 12 13 13 13 12 11 11 12 13 14 14 14 14 14 14 14 14 13 12 12 12 12 12 13 13 13 13 13 13 13 14 15 16 16 16 16 16 17 16 16 16 16 16 16 15 14 14 14 14 13 13 12 12 12 13 12 12 12 13 14 15 15 13 12 12 13 17 20 20 20 19 18 18 17 16 16 17 nan
nan 11 12 12 12 12 11 10 9 9 9 9 9 9 10 11 12 12 11 11 10 8 7 7 7 8 8 8 7 6 6 5 4 4 7 13 18 20 17 13 8 7 8 9 10 9 9 9 10 10 11 11 10 9 8 8 8 8 8 7 6 6 7 8 10 11 10 8 7 7 6 6 5 6 7 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 13 14 14 13 12 11 10 9 9 9 9 9 10 11 12 12 12 13 13 13 13 13 12 12 12 13 13 14 14 14 14 14 14 15 14 14 14 15 15 15 15 15 15 15 14 15 15 16 16 17 17 17 16 16 15 14 14 16 17 17 16 15 13 12 11 11 11 11 11 12 12 12 11 11 11 13 14 13 12 10 8 6 6 7 10 12 12 12 11 11 10 10 10 10 nan
nan 12 12 12 11 11 10 10 9 9 9 9 9 9 9 10 10 10 9 9 8 7 6 6 6 8 8 7 7 6 6 4 4 6 9 14 17 16 12 9 8 10 11 11 11 9 9 9 10 11 12 11 9 8 7 7 8 8 8 8 7 7 8 10 11 11 10 9 9 8 8 7 7 8 9 9 9 9 10 10 11 12 12 12 12 11 11 11 11 12 12 13 14 14 14 12 10 7 5 4 4 5 5 6 8 9 10 11 12 12 11 11 10 10 9 10 10 11 12 13 15 15 15 14 15 15 15 15 15 16 16 16 16 16 15 14 14 14 15 15 15 15 15 15 15 14 12 10 11 14 17 17 16 14 12 11 10 9 9 10 11 11 11 11 11 11 13 13 13 12 10 9 8 5 2 2 4 6 8 8 8 7 7 7 7 7 nan
nan 12 12 12 11 10 10 9 10 10 9 9 9 9 9 9 9 9 9 9 8 7 6 6 7 8 8 7 7 6 5 4 5 7 11 14 14 11 8 7 10 12 14 14 12 10 10 10 10 11 11 10 8 7 7 7 8 9 9 9 8 8 10 11 11 11 10 9 9 9 9 8 9 11 11 10 9 9 10 11 12 13 13 12 12 11 11 11 12 12 13 13 14 14 14 13 11 9 7 6 5 5 4 5 5 6 8 9 9 9 9 8 7 8 8 9 11 12 13 14 16 16 15 14 14 14 14 14 15 15 16 15 14 13 13 13 13 13 13 13 13 13 13 13 13 12 9 7 8 10 13 14 14 13 12 11 10 9 9 10 11 11 11 11 12 13 15 15 13 11 10 9 8 6 3 2 2 4 6 7 7 7 7 7 7 7 nan
nan 12 11 11 10 10 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 7 8 8 7 7 7 6 5 6 8 11 13 10 8 7 8 12 14 15 14 12 10 10 10 10 10 9 8 8 8 8 8 9 9 9 8 7 8 10 11 10 10 9 9 9 9 8 9 10 12 12 10 9 9 11 12 13 14 13 12 11 11 11 11 12 13 13 13 13 14 15 16 17 17 15 13 11 8 7 7 7 8 9 9 9 8 8 8 8 10 11 13 14 15 15 16 16 15 14 13 13 13 13 13 13 14 13 12 11 11 11 11 12 13 13 13 12 12 12 12 13 12 8 6 6 7 10 11 12 11 11 11 10 10 10 10 10 11 12 13 13 14 15 14 13 11 10 9 8 7 5 3 2 3 5 6 7 7 7 7 7 7 nan
nan 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 6 5 5 7 8 8 8 8 7 7 7 8 10 9 7 7 8 11 13 13 13 11 9 8 9 9 9 8 8 8 9 10 10 10 9 8 6 5 5 7 8 9 9 9 8 8 9 8 9 9 10 11 11 10 10 11 13 14 14 14 12 11 11 11 11 11 12 12 12 12 13 14 16 18 20 20 19 17 15 13 12 12 12 14 14 14 13 12 12 12 13 13 14 15 16 16 15 14 13 11 11 12 14 15 15 14 12 12 11 11 10 11 11 12 12 12 12 12 12 11 11 11 12 11 9 7 6 7 8 9 10 10 10 11 10 10 9 10 10 12 13 13 13 13 13 13 12 11 10 9 9 8 7 5 3 3 4 5 6 7 7 7 7 7 nan
nan 9 8 7 6 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 6 4 4 6 7 8 9 9 9 8 8 8 9 8 7 7 10 12 13 11 10 8 7 7 8 9 10 9 9 9 10 11 11 10 9 6 3 2 3 4 7 8 9 8 8 9 9 9 9 10 10 9 9 9 11 13 15 15 14 13 11 10 10 11 11 11 11 11 11 12 13 14 15 16 17 17 16 16 16 15 16 16 17 18 19 18 17 16 16 15 15 15 15 15 15 15 13 10 7 6 8 12 16 17 17 14 12 11 10 10 10 12 12 13 12 12 12 12 11 11 10 10 11 11 9 8 7 7 7 8 8 9 10 11 10 9 9 9 10 12 13 13 12 12 12 12 11 11 10 9 9 9 8 7 5 3 3 4 5 6 6 6 7 7 nan
nan 9 8 7 6 7 8 9 9 9 8 7 7 7 7 8 8 8 8 8 7 7 6 5 4 5 7 8 10 10 10 10 9 9 8 7 8 9 11 12 11 10 8 7 7 8 10 11 11 11 10 10 10 11 12 11 9 6 4 4 5 6 8 9 9 9 9 10 10 10 9 9 8 8 8 10 13 15 15 15 14 12 10 10 10 11 11 11 11 11 11 12 13 14 14 13 13 12 12 13 14 15 17 18 18 19 19 18 18 17 16 15 15 15 15 14 13 11 8 5 4 4 8 13 17 18 17 15 13 11 10 10 11 13 13 13 12 12 12 12 12 11 10 10 11 11 10 9 7 7 7 7 8 9 10 11 10 9 9 9 10 11 12 12 12 11 11 10 10 9 9 9 9 9 9 8 6 4 3 3 3 4 4 5 6 7 nan
nan 10 9 8 7 7 8 8 8 8 7 7 6 6 7 7 8 8 8 8 8 7 7 6 4 5 6 8 9 11 12 12 11 9 8 7 8 10 11 11 10 10 9 9 10 11 12 12 12 12 11 11 12 13 13 12 10 8 9 10 11 11 12 11 10 9 9 9 8 8 7 7 7 8 8 11 13 15 15 14 12 10 10 10 10 11 11 11 11 11 11 11 12 13 12 11 10 10 10 11 13 14 15 16 17 17 16 15 15 15 14 14 14 14 14 13 11 8 4 2 3 5 9 13 15 16 16 15 13 12 11 12 13 13 13 13 12 12 12 12 12 12 11 10 11 11 11 9 8 7 6 6 8 10 11 12 11 10 9 9 10 10 11 12 12 12 11 9 8 8 9 9 9 9 9 8 7 5 4 3 3 4 4 4 5 6 nan
nan 10 9 8 8 7 7 7 7 7 6 6 6 6 7 7 8 8 8 8 8 9 9 8 6 5 6 7 9 11 12 13 12 10 8 8 8 10 11 11 11 11 10 10 11 11 12 12 12 11 11 12 13 14 13 12 11 11 12 14 14 16 15 13 11 9 8 7 6 6 6 7 8 8 9 11 13 14 15 13 12 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 10 10 11 11 12 12 13 13 13 13 12 11 12 13 13 13 14 13 12 11 9 6 3 2 2 4 7 10 13 14 14 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 9 8 6 6 7 9 12 13 13 12 11 10 10 10 11 11 11 11 12 12 10 8 8 9 9 9 9 9 8 8 7 6 6 7 7 6 6 6 6 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
1963 2167 2228 2184 2078 1955 1887 1835 1761 1666 1596 1524 1451 1405 1389 1384 1388 1399 1419 1472 1554 1623 1653 1671 1690 1740 1773 1777 1754 1698 1658 1650 1616 1612 1652 1705 1735 1670 1497 1282 1128 1056 983 862 733 601 480 386 322 277 239 204 172 142 113 90 64 39 30 32 35 39 42 44 46 48 52 68 79 102 135 179 235 294 359 447 559 684 814 968 1142 1299 1612 2132 2444 2620 2726 2806 2864 2911 2919 2904 2944 3001 3017 3110 3368 3344 3186 3100 3050 2965 2867 2795 2752 2756 2727 2668 2595 2516 2460 2400 2441 2450 2510 2591 2677 2785 2894 2941 3057 3126 3184 3243 3308 3364 3421 3501 3499 3492 3452 3409 3342 3222 3114 3091 3139 3205 3228 3210 3169 3121 3090 3112 3158 3076 3060 3042 3024 2968 2814 2713 2591 2437 2276 2114 1964 1822 1673 1552 1465 1407 1400 1415 1414 1422 1485 1579 1751 2007 2327 2606 2821 2956 2934 2806 2698 2607 2557 2580 2669 2751 2842 2897 2848 2816 2793
1932 2112 2142 2092 2034 1969 1913 1832 1749 1674 1617 1555 1479 1410 1374 1376 1387 1405 1425 1505 1609 1682 1711 1705 1680 1664 1646 1639 1615 1617 1659 1672 1628 1600 1587 1532 1406 1213 992 817 722 661 595 517 459 407 355 307 266 227 198 175 148 130 115 94 64 36 23 19 19 20 20 22 22 19 19 21 24 36 50 70 101 142 192 257 341 431 514 611 756 894 1091 1565 2034 2318 2486 2606 2697 2765 2782 2737 2737 2791 2808 2869 3013 3039 3010 3047 3066 3001 2841 2707 2634 2610 2603 2582 2538 2469 2379 2311 2270 2222 2213 2255 2324 2432 2492 2602 2703 2792 2877 2950 3019 3079 3197 3354 3499 3581 3537 3438 3398 3375 3376 3321 3280 3269 3277 3280 3263 3223 3133 3044 3018 3003 2990 2980 2972 2961 2884 2827 2775 2661 2525 2392 2265 2136 1988 1848 1715 1614 1543 1456 1376 1356 1357 1391 1476 1615 1786 2005 2264 2546 2675 2735 2729 2619 2435 2328 2364 2433 2547 2717 2754 2760 2753
1898 2065 2099 2055 2022 1986 1940 1879 1808 1739 1681 1626 1561 1488 1430 1422 1446 1483 1570 1663 1732 1780 1814 1800 1713 1625 1549 1526 1545 1578 1593 1548 1460 1391 1317 1177 988 794 632 522 470 429 392 367 355 337 308 272 229 185 160 147 116 101 99 90 68 40 20 13 11 9 7 5 4 2 3 0 2 6 7 10 20 41 65 95 146 205 258 311 391 481 586 883 1458 1848 2097 2275 2412 2508 2546 2535 2529 2590 2601 2609 2653 2726 2813 2884 2920 2811 2650 2494 2384 2336 2335 2342 2365 2383 2366 2317 2252 2182 2123 2086 2081 2125 2161 2252 2339 2438 2536 2603 2677 2753 2845 2969 3172 3333 3331 3262 3281 3334 3496 3477 3440 3404 3359 3319 3286 3267 3218 3146 3087 3023 2970 2942 2863 2794 2730 2712 2713 2734 2729 2579 2460 2354 2274 2150 2014 1903 1813 1719 1628 1549 1461 1431 1411 1416 1461 1572 1730 1999 2194 2341 2494 2567 2491 2358 2306 2255 2221 2321 2415 2448 2475
1889 2047 2110 2088 2066 2025 1977 1938 1900 1843 1791 1739 1659 1563 1511 1507 1562 1630 1710 1787 1831 1841 1851 1808 1714 1628 1540 1482 1459 1440 1381 1278 1162 1067 949 802 653 529 445 389 355 323 306 304 299 286 268 244 207 162 126 109 78 54 47 45 41 29 13 6 4 2 1 0 0 0 0 0 0 0 0 0 1 5 10 17 25 49 83 124 177 235 286 364 899 1304 1583 1803 1996 2166 2303 2326 2337 2364 2330 2309 2345 2428 2525 2546 2531 2392 2247 2125 2044 2005 1990 1985 2016 2073 2141 2176 2179 2153 2120 2065 2028 2018 2000 2002 2023 2080 2170 2235 2318 2445 2489 2531 2642 2736 2765 2825 2904 3026 3172 3358 3477 3489 3460 3410 3370 3325 3297 3336 3320 3235 3117 3014 2941 2813 2622 2554 2543 2582 2627 2660 2739 2698 2581 2448 2315 2192 2081 1997 1920 1834 1725 1640 1562 1480 1415 1448 1488 1623 1768 1920 2076 2216 2317 2352 2397 2321 2214 2156 2163 2170 2119
1935 2067 2144 2148 2130 2084 2038 2025 1998 1929 1882 1866 1809 1697 1627 1630 1692 1766 1825 1849 1835 1801 1775 1724 1697 1650 1544 1410 1290 1185 1062 929 820 728 628 532 455 397 359 332 298 274 262 253 240 227 216 200 168 125 84 55 28 8 1 4 9 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 27 56 99 165 114 457 798 1047 1256 1473 1696 1985 2000 2023 2038 2046 2045 2039 2053 2096 2013 1962 1889 1814 1760 1726 1727 1683 1660 1668 1686 1739 1830 1917 1956 1988 1977 1965 1967 1957 1918 1888 1898 1941 1977 2031 2123 2166 2214 2292 2360 2406 2424 2519 2660 2904 3148 3280 3382 3518 3586 3603 3630 3695 3632 3537 3459 3363 3254 3183 3046 2890 2756 2671 2658 2664 2868 2973 2948 2857 2737 2603 2466 2302 2224 2138 2041 1953 1885 1815 1729 1647 1563 1505 1506 1555 1646 1760 1888 2005 2112 2237 2289 2306 2274 2197 2164 2076
2017 2117 2182 2203 2193 2135 2124 2089 2048 2008 1974 1945 1912 1838 1772 1747 1782 1823 1838 1827 1795 1749 1714 1707 1713 1622 1431 1205 1000 833 692 584 509 452 406 376 360 348 333 297 261 241 220 194 170 157 148 127 96 61 31 12 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 1 2 4 2 72 58 186 388 568 713 883 1021 1241 1421 1544 1635 1723 1776 1694 1578 1513 1452 1424 1421 1440 1470 1469 1485 1439 1449 1440 1438 1466 1512 1590 1672 1728 1762 1771 1796 1822 1811 1793 1783 1790 1796 1823 1863 1898 1947 2023 2125 2203 2220 2285 2393 2526 2655 2796 2991 3230 3408 3512 3598 3540 3380 3387 3330 3338 3402 3436 3389 3279 3176 3091 3046 3055 3105 3124 3101 3042 2956 2850 2717 2569 2455 2338 2221 2130 2087 2040 1980 1903 1804 1704 1623 1576 1570 1581 1669 1755 1849 1964 2083 2198 2295 2289 2262 2226
2112 2174 2206 2218 2222 2152 2188 2131 2098 2071 2035 2013 1996 1961 1863 1775 1770 1796 1830 1854 1834 1767 1719 1698 1624 1423 1152 892 674 508 401 351 323 306 291 284 285 286 299 289 239 185 142 107 79 67 64 48 30 13 4 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 36 30 49 103 167 270 371 459 579 740 906 1066 1227 1344 1256 1128 1052 1016 1029 1056 1088 1164 1259 1306 1289 1302 1293 1297 1337 1355 1404 1466 1501 1517 1521 1541 1576 1600 1613 1621 1623 1616 1627 1651 1668 1685 1760 1880 1988 2040 2084 2151 2260 2386 2454 2519 2647 2754 2839 2937 3050 3115 2961 2862 2847 2983 3196 3375 3425 3443 3405 3340 3315 3279 3243 3211 3181 3131 3044 2922 2793 2669 2551 2438 2336 2286 2227 2157 2104 2031 1942 1853 1769 1701 1632 1621 1662 1720 1801 1901 1963 2080 2171 2221 2267
2206 2232 2256 2271 2208 2163 2192 2179 2094 1999 1996 2078 2068 1975 1847 1771 1788 1843 1896 1916 1853 1733 1634 1518 1314 1050 794 590 436 332 283 269 270 277 282 267 228 209 191 176 147 95 53 31 16 9 11 7 4 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 3 6 12 39 75 100 135 216 328 463 612 722 728 715 733 750 784 850 916 971 1031 1170 1189 1166 1172 1230 1292 1325 1333 1369 1378 1355 1323 1313 1336 1367 1399 1433 1452 1446 1439 1446 1452 1428 1501 1593 1684 1760 1814 1850 1904 1984 2035 2095 2150 2175 2198 2245 2269 2330 2351 2353 2347 2440 2628 2860 3068 3231 3247 3236 3252 3254 3229 3207 3211 3203 3151 3072 2973 2857 2742 2647 2561 2492 2424 2366 2294 2213 2145 2070 1989 1918 1853 1803 1767 1749 1762 1761 1806 1879 1945 2015 2108
2240 2279 2320 2342 2212 2150 2180 2171 1989 1818 1889 2114 2123 1975 1866 1843 1891 1944 1948 1871 1695 1496 1330 1129 882 658 495 379 297 247 226 215 207 194 169 138 116 105 73 42 29 17 7 3 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 1 4 4 5 14 46 108 180 233 293 348 407 475 561 663 781 871 857 1011 1090 1079 1089 1151 1230 1248 1276 1318 1318 1276 1222 1177 1163 1169 1234 1295 1327 1321 1285 1250 1264 1251 1271 1300 1332 1360 1379 1411 1448 1514 1596 1691 1768 1802 1816 1839 1849 1852 1864 1891 1913 1948 2022 2108 2254 2410 2536 2613 2649 2656 2731 2767 2856 2984 3015 3018 3042 2993 2895 2818 2749 2681 2619 2559 2489 2409 2328 2257 2191 2122 2055 1996 1938 1879 1852 1813 1805 1824 1838 1847 1898
2219 2271 2310 2332 2249 2066 1941 1895 1865 1870 1974 2176 2208 2071 1984 1947 1915 1841 1699 1490 1249 1048 876 691 517 386 300 235 185 143 111 100 91 73 46 17 8 10 9 4 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 2 11 28 40 66 104 164 240 323 428 559 710 741 848 947 974 1001 1068 1147 1151 1218 1262 1252 1201 1120 1119 1077 1081 1131 1187 1217 1200 1139 1108 1086 1043 1007 980 959 944 926 935 967 1027 1123 1247 1361 1428 1456 1472 1490 1483 1468 1466 1472 1472 1456 1448 1536 1618 1708 1810 1901 1969 1906 1947 2102 2313 2410 2473 2705 2872 2899 2894 2862 2819 2776 2728 2670 2596 2520 2453 2385 2315 2252 2193 2129 2070 2018 1970 1932 1907 1885 1849 1845
2217 2250 2280 2298 2231 1989 1758 1686 1759 1919 2118 2241 2225 2140 2065 1913 1693 1438 1169 907 708 589 479 371 278 208 157 114 88 60 36 25 20 13 6 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 1 2 2 6 17 37 69 132 233 358 471 565 679 791 862 972 999 1097 1151 1194 1207 1182 1158 1019 1031 995 1000 1043 1083 1095 1069 1019 982 917 827 743 680 638 610 587 585 605 655 731 839 956 1041 1088 1098 1105 1111 1108 1101 1096 1081 1071 1061 1074 1098 1130 1172 1254 1399 1411 1412 1481 1602 1696 1780 1995 2221 2533 2660 2663 2694 2773 2804 2806 2769 2709 2650 2596 2547 2491 2429 2369 2301 2230 2168 2114 2059 2013 1965 1932
2221 2209 2211 2249 2193 2002 1852 1796 1872 2045 2171 2219 2162 2056 1870 1563 1230 944 702 509 393 318 250 187 134 92 60 37 28 17 8 3 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 2 6 19 76 98 201 302 425 565 659 723 891 989 1061 1109 1141 1152 1137 1137 1009 921 915 962 1000 1003 983 944 894 832 744 637 535 459 415 393 382 387 397 425 473 542 624 688 729 750 755 751 745 735 741 733 736 744 752 762 769 760 800 888 996 1067 1123 1213 1305 1414 1519 1513 1785 1982 2027 2104 2291 2596 2726 2772 2784 2774 2771 2758 2717 2662 2607 2539 2457 2369 2285 2228 2179 2108 2048
2211 2153 2145 2325 2217 2030 1947 1926 1974 2084 2085 1966 1777 1534 1245 961 728 548 380 265 204 164 128 91 57 29 14 7 4 2 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 25 48 97 175 290 434 519 602 749 872 939 973 1003 1031 1045 1036 995 982 954 922 909 883 840 787 723 648 563 473 384 318 292 277 273 278 284 299 318 346 393 434 452 450 443 443 441 420 428 431 429 433 462 493 513 519 539 570 574 612 704 810 906 1094 1277 1345 1367 1464 1565 1452 1603 1967 2298 2470 2536 2703 2785 2822 2834 2815 2784 2731 2650 2561 2476 2417 2357 2278 2187
2256 2166 2065 2207 2183 2025 1922 1877 1866 1874 1787 1511 1227 958 733 540 382 266 171 115 87 71 56 37 17 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 31 60 108 189 295 399 520 615 677 720 763 801 823 828 824 823 797 747 707 667 623 576 524 469 412 356 296 260 239 226 221 219 219 224 230 243 267 290 299 288 265 249 252 238 238 241 236 229 254 283 304 315 333 364 395 421 437 486 531 665 861 1099 1314 1499 1549 1471 1483 1579 1758 1916 2023 2411 2549 2658 2765 2813 2824 2816 2780 2716 2650 2587 2521 2445 2359
2331 2214 2035 1999 1971 1898 1846 1820 1777 1642 1339 990 753 566 392 250 159 103 65 41 26 19 13 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 17 39 94 153 215 282 342 394 431 464 497 515 520 517 495 465 436 407 383 362 343 323 298 273 250 235 224 215 208 202 194 183 181 183 192 206 217 219 211 191 183 177 176 176 173 169 172 181 194 207 221 233 250 275 307 333 363 411 491 665 913 1195 1362 1495 1609 1737 1792 1703 1872 2051 2140 2253 2413 2523 2576 2659 2735 2755 2744 2701 2646 2585 2520
2338 2216 2077 1988 1911 1820 1716 1569 1361 1145 881 580 398 269 165 92 55 35 21 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 23 33 59 87 126 149 167 182 193 201 191 181 193 198 195 193 196 202 205 209 214 217 221 224 224 219 208 196 182 170 164 163 168 177 181 174 172 170 168 165 160 161 162 161 159 163 174 188 201 212 216 226 245 276 321 389 467 535 760 974 1161 1321 1460 1687 1636 1705 1746 1744 1812 1978 1983 1961 2104 2299 2471 2604 2667 2690 2660 2620
2216 2131 2062 1969 1816 1632 1434 1180 848 562 351 234 161 103 59 29 15 8 3 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 2 3 7 8 13 23 30 35 42 46 46 49 55 68 76 83 94 106 118 124 145 166 184 202 219 226 224 223 208 196 188 179 175 181 184 182 179 177 174 171 166 162 155 159 162 164 172 182 194 201 209 214 216 226 253 313 475 557 637 736 856 987 939 1138 1298 1408 1478 1546 1624 1676 1501 1424 1518 1695 1885 2108 2299 2391 2433 2496
2037 2006 1989 1906 1698 1393 1069 758 450 249 150 98 62 35 15 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 2 3 4 5 6 4 11 19 26 33 39 50 64 78 92 109 129 148 167 187 200 212 218 220 217 206 203 204 203 200 198 194 191 187 182 174 163 160 164 171 181 186 195 197 203 211 214 221 238 314 449 559 633 683 767 867 837 813 870 951 1033 1166 1369 1467 1443 1351 1335 1421 1541 1591 1694 1761 1946 2096
1936 1910 1819 1607 1264 873 565 381 220 124 74 44 22 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 12 14 20 30 39 49 63 80 93 108 127 147 169 188 200 209 210 215 215 212 209 210 212 211 208 202 194 185 178 176 180 186 191 196 200 207 214 218 228 249 292 352 449 584 658 694 725 785 800 759 704 677 729 861 1030 1163 1219 1259 1357 1463 1592 1558 1602 1718 1730
1909 1794 1520 1151 806 531 331 195 112 67 33 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 8 13 18 23 27 35 45 54 65 80 98 118 137 151 166 178 191 196 196 197 206 216 222 223 220 215 208 202 196 198 199 201 203 207 215 219 223 232 245 262 286 361 534 601 536 558 654 736 750 670 583 582 611 678 809 939 1037 1269 1348 1435 1496 1578 1775 1737
1868 1589 1161 762 465 276 162 90 53 27 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 5 10 15 17 18 23 27 33 42 52 61 71 87 104 123 132 139 145 152 166 179 196 212 222 227 232 238 239 231 229 224 221 222 221 222 225 228 232 238 245 269 350 471 533 557 601 623 613 592 577 497 462 464 500 612 777 886 1087 1199 1279 1334 1381 1760 1845
1639 1219 774 434 223 117 68 33 19 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 5 10 10 11 13 19 25 31 37 41 47 60 74 92 102 108 117 130 138 149 167 187 206 225 249 274 274 270 266 259 247 234 235 239 240 236 233 241 251 266 320 402 480 536 551 535 502 467 459 408 364 361 392 492 677 836 989 1092 1148 1210 1216 1470 1629
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503 300 161 84 39 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 8 14 22 28 33 40 48 58 69 79 85 96 101 105 112 122 134 143 151 160 175 190 206 223 238 250 255 262 264 265 265 259 261 263 280 306 343 371 364 338 288 267 252 244 258 319 490 670 806 905 972 991 1044 1072 1076 1099 1152 1212
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65 34 17 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 6 8 10 14 19 27 35 44 57 71 73 70 71 76 84 91 95 101 102 100 99 100 102 109 117 126 139 152 169 189 202 217 226 221 214 220 240 252 230 218 210 201 194 184 195 331 582 806 898 884 902 967 977 984 996 1020 1047 1101 1133
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