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 8 9 9 8 7 7 7 7 7 6 6 6 6 6 6 7 7 8 8 7 7 7 7 7 6 6 7 7 7 7 7 8 9 10 11 12 12 12 11 10 10 9 8 7 6 5 5 6 7 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 8 8 8 7 7 8 8 10 12 14 13 12 10 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 6 6 6 6 7 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 7 8 nan
nan 6 7 9 10 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 8 8 6 5 5 6 7 7 8 8 9 10 10 10 9 10 10 9 8 8 7 7 7 7 6 6 6 6 7 7 8 8 8 8 7 7 6 6 6 7 7 7 6 6 6 6 7 7 8 8 8 8 7 8 8 8 8 9 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 nan
nan 8 7 8 10 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 8 9 7 6 5 6 8 8 9 9 10 9 9 8 8 8 8 7 7 7 7 7 8 7 7 6 6 6 6 6 7 8 8 8 7 7 6 6 7 7 8 8 7 7 6 5 6 7 8 8 8 8 8 8 8 8 7 8 8 8 9 10 10 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 7 7 7 7 7 7 8 7 7 7 7 6 6 7 8 8 8 8 8 8 8 8 9 9 10 10 10 10 11 11 11 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 nan
nan 9 8 8 9 9 9 8 8 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 9 9 8 8 7 8 9 10 10 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 5 5 6 6 7 7 8 8 7 7 7 7 7 8 8 8 8 7 6 6 7 8 8 9 9 9 8 8 7 7 7 7 7 8 10 11 11 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 6 7 8 9 9 9 8 8 8 9 9 9 10 10 10 11 12 12 12 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 9 8 8 8 8 8 8 7 7 7 7 6 5 5 5 5 5 5 6 6 7 7 7 8 9 10 10 10 10 11 11 12 12 11 10 9 9 9 9 8 8 8 8 7 7 8 9 9 7 6 6 6 6 6 6 7 8 8 8 8 7 8 8 8 8 9 9 9 7 7 8 8 8 9 9 9 8 8 7 8 7 7 7 8 10 12 12 12 11 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 nan
nan 9 8 7 7 7 8 7 7 7 7 8 7 6 5 5 5 5 6 7 8 8 8 9 9 10 10 10 10 11 11 12 12 12 12 11 10 10 10 9 9 8 8 7 6 7 8 10 9 8 7 7 7 6 6 7 7 7 8 8 8 7 8 8 8 9 9 9 9 8 7 8 8 8 9 9 9 8 8 8 7 7 8 8 9 9 11 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 12 12 13 13 13 13 13 12 12 11 11 11 11 10 10 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 nan
nan 9 8 7 7 7 8 8 7 7 8 9 9 8 7 7 7 7 8 9 10 10 11 11 12 11 11 10 10 10 10 10 10 11 11 10 9 9 9 9 9 8 8 7 6 6 8 10 9 9 8 7 7 7 7 7 7 7 7 7 8 7 7 8 8 9 9 9 8 7 7 7 8 8 8 8 8 9 9 8 7 7 8 8 8 8 9 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 12 12 13 13 14 15 16 17 17 17 16 14 13 14 14 14 13 13 12 11 12 11 11 11 11 10 10 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 10 10 11 12 13 13 13 13 13 13 12 11 10 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 nan
nan 10 9 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 13 12 10 10 9 9 8 8 8 8 9 9 8 8 8 8 8 8 8 7 6 6 7 8 9 8 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 9 8 7 7 7 7 7 7 8 8 8 9 8 8 8 8 8 8 8 8 8 9 10 12 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 13 13 13 14 14 15 16 18 20 21 21 19 17 16 17 17 17 16 15 14 14 13 12 12 11 11 10 10 9 9 9 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 8 9 9 10 11 11 12 13 13 14 13 12 11 11 10 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 nan
nan 10 10 9 10 10 10 11 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 11 11 10 9 9 8 8 7 7 7 7 8 8 7 7 6 6 7 8 7 6 6 6 7 7 8 7 7 6 6 6 6 7 6 6 7 8 8 7 7 6 6 6 7 8 8 8 7 6 6 7 7 7 8 8 9 9 8 8 8 8 8 7 7 7 8 9 11 12 12 12 12 12 13 14 14 14 15 15 15 15 16 15 15 15 14 14 15 15 16 17 19 21 23 24 22 20 19 18 18 18 18 16 15 14 13 12 12 11 10 10 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 10 11 12 13 13 12 12 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 nan
nan 10 9 9 10 10 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 9 9 8 7 8 8 8 7 7 7 7 7 7 7 6 6 6 7 7 7 7 6 6 7 7 8 7 6 6 6 6 6 6 6 6 7 7 8 7 7 6 6 6 6 7 8 8 7 6 6 6 7 7 8 8 9 10 9 8 8 8 8 7 7 7 8 8 9 10 9 9 9 11 12 13 14 15 16 18 19 20 20 20 19 19 18 18 18 18 18 18 19 21 23 24 22 21 19 18 17 17 16 16 15 14 13 12 12 11 11 10 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 9 9 11 12 12 12 12 11 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 nan
nan 9 8 9 9 10 11 11 11 11 10 10 10 10 10 9 9 9 10 11 11 10 10 9 8 7 7 7 8 8 8 7 7 7 7 7 6 6 6 7 7 7 7 7 6 6 7 8 8 8 7 6 7 7 7 7 6 6 6 7 7 7 7 7 7 6 6 6 7 7 7 7 6 7 7 7 8 9 10 10 9 9 9 10 9 8 8 8 8 8 8 8 7 7 8 9 11 13 15 17 19 21 23 24 25 25 24 23 22 22 21 21 21 20 19 20 20 21 20 19 18 17 16 15 14 14 13 13 12 12 12 11 11 10 10 9 9 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 7 7 7 7 7 7 7 8 10 11 11 11 11 11 10 10 9 9 10 10 9 9 9 9 9 9 8 8 7 nan
nan 9 7 7 9 10 10 10 10 9 9 9 9 9 8 8 8 9 10 10 10 10 9 9 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 7 7 8 8 8 8 7 7 6 7 7 8 8 8 7 7 6 6 6 7 7 7 7 7 8 8 9 10 11 10 9 9 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 12 15 18 21 23 25 26 27 27 26 25 25 24 24 23 22 20 19 19 18 18 17 17 16 15 14 14 13 12 12 12 12 11 11 11 11 10 10 10 9 9 8 8 8 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 6 7 7 8 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 nan
nan 10 8 7 8 9 10 9 9 8 8 8 8 8 8 8 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 7 7 6 6 6 7 7 8 8 9 9 10 10 11 10 10 10 10 11 10 10 10 9 9 8 8 8 9 9 9 8 8 9 11 16 20 22 24 24 24 25 24 24 23 23 22 21 20 20 19 18 17 16 15 15 14 14 14 13 13 12 12 11 11 11 11 11 11 10 10 10 9 9 9 9 8 8 7 7 6 5 5 5 4 4 4 4 4 4 4 5 5 5 6 6 6 6 7 8 8 8 8 7 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 nan
nan 10 9 7 8 9 9 9 9 8 8 8 7 7 8 8 9 9 9 8 8 8 8 9 9 9 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 8 8 7 6 6 7 7 8 8 8 8 8 7 8 8 8 8 8 7 7 7 7 7 8 9 9 10 10 10 11 10 10 10 10 11 11 11 10 10 10 10 9 9 10 10 10 10 9 8 6 6 9 14 18 19 19 18 19 19 19 19 18 18 18 17 17 16 16 15 14 14 13 13 13 13 12 12 12 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 8 8 7 7 6 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 6 7 8 7 7 7 8 8 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 nan
nan 10 9 8 8 9 9 9 8 8 7 7 7 7 8 9 9 9 8 7 7 7 8 9 9 9 9 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 8 8 7 7 6 6 7 7 8 8 8 8 8 7 8 8 8 8 8 7 7 8 8 9 10 10 10 10 10 10 10 10 10 11 11 12 11 11 10 10 11 11 11 11 11 10 10 11 9 6 3 2 5 10 13 13 13 12 13 12 12 12 12 13 13 13 13 13 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 9 9 8 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 6 7 8 9 9 8 8 9 9 10 10 9 9 9 10 10 10 10 10 11 10 nan
nan 10 9 9 9 9 9 9 8 8 7 7 7 8 9 9 8 7 7 7 7 8 8 8 9 9 8 8 8 8 8 7 7 7 7 8 8 8 7 7 6 6 6 6 7 7 7 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 10 10 10 10 10 9 9 9 9 10 11 11 12 12 11 12 13 13 13 12 12 11 11 11 11 11 8 4 -1 -1 3 7 9 8 8 8 7 7 7 7 8 9 9 9 9 9 9 8 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 8 7 7 6 6 6 6 5 5 6 6 6 5 6 6 6 6 6 8 9 10 9 8 8 8 9 9 10 10 9 9 9 9 9 10 10 10 10 nan
nan 10 10 10 9 8 8 8 8 8 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 6 6 6 6 7 8 8 8 8 8 8 8 7 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 9 10 10 9 9 9 10 9 8 8 9 10 11 11 11 11 12 12 13 14 14 13 12 12 12 11 11 10 9 5 -1 -4 -3 2 5 6 6 6 5 5 5 5 6 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 10 10 11 10 10 10 9 9 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 8 9 8 7 7 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 nan
nan 10 10 10 9 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 10 9 8 7 7 7 7 8 8 9 10 10 11 11 11 11 12 12 12 11 11 11 11 10 10 9 9 9 7 2 -4 -6 -3 0 3 5 5 5 5 5 5 6 6 6 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 8 8 9 9 10 10 10 10 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 6 6 7 8 8 7 6 6 6 8 9 9 8 8 8 8 8 8 7 7 7 7 7 nan
nan 10 10 10 9 8 8 9 9 9 8 8 7 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 8 7 6 6 7 7 8 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 9 9 9 9 8 7 7 6 5 5 6 7 7 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 9 9 9 6 -0 -6 -7 -5 -2 1 3 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 8 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 7 7 7 8 9 8 7 7 6 7 9 11 11 10 10 10 10 9 8 8 7 7 7 7 nan
nan 9 10 10 9 9 8 8 9 9 9 8 8 8 9 9 10 9 9 9 8 8 8 8 7 7 8 9 10 10 9 8 7 6 6 6 7 8 9 9 9 9 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 6 6 5 5 6 6 7 7 8 9 9 9 8 7 7 6 6 7 7 7 8 8 8 9 9 10 10 8 4 -1 -5 -7 -6 -4 -1 -1 -0 1 2 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 8 8 8 8 9 11 13 14 14 13 13 12 10 10 9 8 7 7 8 nan
nan 9 9 10 9 9 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 8 8 7 7 7 8 8 9 10 9 9 8 8 8 7 8 8 9 9 9 10 10 9 9 9 8 8 7 7 7 7 7 7 7 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 7 7 8 8 8 7 7 6 5 5 6 7 7 7 7 8 9 9 9 8 8 7 4 1 -3 -5 -3 -2 -4 -4 -4 -2 2 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 9 10 10 10 9 9 9 9 9 9 9 9 10 10 9 9 9 9 8 8 9 9 10 11 11 12 13 15 16 16 14 12 11 10 10 9 9 9 nan
nan 9 9 10 10 9 8 8 8 8 8 8 8 7 7 8 10 10 10 9 9 8 8 7 7 7 7 8 9 9 10 10 10 10 9 9 9 9 9 9 10 10 11 11 10 9 9 8 8 7 7 7 7 7 7 7 6 6 7 8 8 8 8 8 8 8 8 7 7 6 6 6 6 7 7 7 7 6 6 7 7 7 7 7 7 7 6 6 6 7 8 8 7 7 7 8 9 8 7 7 7 6 5 3 2 2 3 1 -2 -5 -5 -1 4 6 7 7 7 7 6 6 6 7 7 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 9 9 10 9 9 8 8 8 8 8 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 11 12 14 17 17 15 14 13 12 12 12 11 11 nan
nan 8 9 10 11 9 8 7 7 6 6 6 7 7 7 9 11 11 10 9 9 8 8 7 7 7 8 8 8 9 10 10 10 10 9 9 9 9 9 10 10 11 11 11 10 10 9 8 8 8 8 7 7 7 6 6 6 6 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 6 6 7 8 8 7 7 7 8 8 7 7 7 7 7 7 6 6 7 7 7 3 -3 -6 -3 2 5 6 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 8 8 8 9 9 9 10 10 10 10 9 8 7 7 7 8 9 10 10 10 10 9 9 9 10 10 10 10 9 9 10 12 13 15 15 14 13 12 12 12 13 14 14 14 nan
nan 8 9 10 11 10 8 7 7 6 6 6 7 7 8 10 11 11 10 9 9 8 8 7 7 8 8 8 7 7 8 9 9 9 8 8 8 8 9 10 10 10 10 10 10 10 9 9 8 8 8 8 7 7 6 6 6 6 7 7 7 7 7 8 8 9 9 8 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 7 8 8 7 7 7 7 7 7 7 7 7 7 8 8 5 1 -2 -2 -1 1 4 6 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 7 7 8 9 9 9 10 10 10 11 10 10 9 8 7 7 7 8 9 10 11 11 10 9 9 9 9 9 9 9 9 11 12 14 16 15 13 11 9 9 10 11 13 14 15 15 nan
nan 8 9 10 11 10 9 8 7 7 7 7 7 7 8 10 11 11 10 9 9 9 9 8 8 9 9 8 7 7 7 7 8 8 7 7 7 7 8 8 8 8 8 8 8 9 10 9 9 9 9 8 7 6 6 6 5 6 6 6 6 6 7 7 8 8 8 7 7 7 8 8 7 7 6 6 7 7 7 7 7 8 7 7 7 7 6 6 6 7 7 8 8 8 8 7 6 6 7 7 7 7 7 7 7 8 7 7 6 4 2 0 -2 -2 -0 2 5 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 8 7 7 6 6 7 8 9 10 10 10 11 11 11 11 11 10 9 7 6 6 7 9 11 12 12 11 10 9 8 8 8 9 10 11 12 13 14 14 13 11 9 8 8 9 10 11 12 13 14 nan
nan 7 8 9 10 11 10 8 8 7 7 7 7 8 8 9 10 11 10 10 9 9 9 9 9 9 10 10 10 9 8 7 7 8 8 8 8 7 7 7 7 7 6 6 7 8 9 10 10 10 9 8 7 7 6 6 6 6 6 7 7 6 6 6 7 7 7 6 6 7 8 8 7 7 6 6 6 7 7 7 7 8 8 8 7 7 7 6 6 7 7 8 8 8 8 7 6 6 7 7 7 7 6 7 8 8 8 7 7 6 5 4 1 -1 -3 -2 0 3 5 5 6 6 6 7 7 8 8 8 8 8 9 9 9 9 9 8 8 7 7 6 6 7 8 9 10 10 11 11 11 11 12 11 10 9 8 6 6 7 9 11 12 13 12 11 8 7 6 7 8 11 13 14 13 12 11 11 10 9 9 9 10 10 9 9 10 11 nan
nan 7 8 9 10 11 11 9 8 7 7 7 8 8 8 9 10 11 10 9 9 9 9 8 9 9 10 11 12 12 10 8 7 8 9 9 9 8 8 7 7 6 6 6 7 8 9 10 10 9 9 8 8 7 7 7 7 7 8 8 7 6 5 5 5 6 6 6 6 6 7 8 8 7 7 6 6 6 7 7 7 7 8 8 8 7 7 6 6 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 6 6 5 3 -0 -3 -4 -2 1 3 4 5 4 5 5 6 6 7 7 8 8 8 9 9 9 8 8 7 7 6 6 6 7 9 10 11 11 11 11 11 11 10 10 9 7 7 6 7 8 10 12 13 13 11 8 6 5 5 7 10 14 15 13 11 10 10 10 11 10 10 10 9 8 6 7 8 nan
nan 9 9 10 11 12 11 9 8 8 8 8 8 8 8 9 10 11 10 9 9 9 8 8 8 9 9 9 10 9 8 8 8 9 9 9 9 8 8 7 7 7 6 6 7 8 9 9 10 10 10 9 9 9 9 8 8 8 8 8 7 6 5 5 5 5 6 6 6 5 6 6 7 8 8 7 6 6 7 7 7 7 8 8 7 7 6 6 6 7 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 6 6 6 6 4 1 -2 -2 -1 1 4 4 3 2 2 2 4 5 6 6 7 7 8 8 8 8 8 7 7 7 6 7 7 9 10 11 11 11 10 10 10 9 8 8 7 7 6 7 8 10 12 13 13 11 9 7 5 5 7 10 13 13 12 11 9 9 11 11 11 11 10 8 6 5 5 6 nan
nan 11 11 11 11 12 12 10 10 9 9 8 8 8 8 9 11 11 10 9 8 8 7 7 7 7 7 7 6 6 6 7 9 10 10 10 9 8 7 7 7 7 7 6 7 8 9 10 11 11 11 10 10 9 9 9 8 8 9 8 7 7 7 6 6 6 6 6 5 5 4 4 6 7 8 7 6 6 7 7 7 7 8 8 7 6 5 6 7 8 8 8 7 7 7 7 7 8 7 7 8 8 8 8 8 7 7 7 7 7 7 6 6 7 7 5 3 1 1 2 4 5 3 -1 -3 -1 3 4 4 5 5 6 7 7 8 8 8 8 8 7 7 7 8 9 10 10 11 10 10 9 8 8 7 7 7 6 6 6 7 8 11 13 14 12 10 9 8 7 8 10 11 11 10 9 8 8 10 12 12 11 10 8 6 5 5 6 nan
nan 12 12 12 12 13 13 13 13 12 11 10 8 7 7 9 10 12 11 10 7 6 6 6 6 6 6 6 6 7 8 9 9 10 10 10 9 8 7 7 7 7 6 7 7 9 10 11 12 12 11 11 10 9 9 8 8 8 9 8 8 8 8 8 7 7 6 6 5 4 3 3 4 6 7 7 7 6 7 7 7 7 7 8 7 6 5 6 8 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 7 6 6 7 7 7 7 7 7 7 7 7 7 6 5 5 5 4 1 -4 -6 -2 2 4 4 4 5 6 6 7 8 9 9 9 9 8 8 8 8 9 9 10 10 10 9 8 7 6 6 6 7 6 6 6 5 7 9 11 12 13 12 11 10 10 11 11 11 10 9 7 7 7 9 11 12 13 12 10 7 6 6 6 nan
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nan 12 12 11 11 11 12 13 14 14 14 12 10 9 8 7 7 9 10 10 8 7 6 5 5 5 6 6 6 8 9 10 10 11 11 10 9 8 8 8 8 8 7 7 6 7 9 10 11 11 12 11 10 9 9 8 8 9 9 9 9 9 9 9 8 8 7 7 6 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 -2 -9 -9 -3 3 5 5 5 5 6 7 8 8 9 10 10 10 10 10 10 10 10 9 9 9 10 10 9 9 8 8 7 7 8 8 7 5 3 2 3 5 7 10 12 14 14 14 14 13 11 10 9 8 7 7 7 9 11 13 14 13 11 10 8 7 nan
nan 13 12 11 10 9 9 10 10 11 11 10 9 9 8 7 7 7 9 9 9 8 7 6 5 5 5 5 6 7 8 9 10 10 10 10 10 9 9 8 8 8 7 6 6 6 8 9 10 11 11 11 10 9 9 9 9 9 9 10 9 9 8 8 8 8 8 7 6 6 6 6 7 6 5 5 6 7 8 8 7 7 7 7 7 8 8 8 9 10 10 10 10 9 8 8 7 8 8 8 8 9 9 9 10 10 9 9 8 8 8 8 8 8 7 7 7 8 8 7 3 -4 -8 -5 2 6 7 5 4 5 6 7 8 9 9 10 10 10 10 10 11 10 10 9 9 9 9 9 9 10 9 9 8 8 8 8 8 6 4 2 2 3 5 9 11 13 14 14 14 13 12 11 10 9 8 7 8 8 10 13 14 13 13 11 9 9 nan
nan 13 13 11 10 8 8 8 8 9 9 9 9 9 8 8 7 7 8 8 8 8 7 6 6 6 6 6 7 8 9 10 10 10 10 10 10 10 10 9 9 8 7 7 6 7 7 8 10 11 11 11 11 10 10 10 10 10 9 9 9 8 8 8 8 8 8 7 6 6 7 8 8 6 5 5 6 6 7 7 8 8 8 8 7 7 7 7 8 9 11 11 10 9 8 8 7 7 7 7 7 8 9 10 10 10 9 8 8 8 9 8 8 8 7 6 6 7 7 5 2 -2 -2 4 10 12 9 6 5 5 5 7 8 9 9 9 9 9 9 9 10 10 10 9 9 8 8 9 9 10 10 10 9 9 8 8 8 7 6 4 3 3 5 7 9 11 13 13 12 12 12 11 10 10 9 9 9 9 10 11 12 14 13 11 9 8 nan
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nan 8 8 8 8 8 8 8 8 9 10 9 9 9 8 7 7 7 8 9 10 10 10 10 10 10 9 8 9 10 11 10 9 9 9 9 10 9 8 8 9 10 9 8 7 7 7 7 6 6 7 9 10 11 11 11 11 11 10 8 8 9 10 11 11 11 10 9 9 9 10 9 9 8 8 8 8 8 8 8 8 8 8 7 6 6 7 8 8 8 7 7 8 8 6 6 7 8 8 8 7 7 7 8 9 10 10 9 9 9 9 9 9 9 9 9 8 7 7 8 8 8 8 7 8 8 8 8 6 4 1 -2 -1 2 5 6 6 5 5 5 6 7 8 9 9 9 9 9 10 10 11 11 11 10 9 9 8 8 9 9 8 8 8 8 8 9 9 9 9 9 10 11 13 14 15 15 15 14 13 11 10 9 7 5 4 3 nan
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nan 7 8 9 10 11 13 14 15 17 18 19 19 18 17 15 12 10 9 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 8 8 8 9 9 10 10 10 10 9 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 9 11 12 13 14 13 12 12 12 12 12 12 11 10 10 9 10 10 11 10 9 8 8 8 8 8 8 8 9 9 9 9 9 9 10 11 11 10 10 10 11 12 13 15 17 20 22 22 20 18 17 17 18 19 19 19 18 16 14 12 12 12 11 10 9 8 6 5 3 3 2 2 2 3 3 4 5 6 6 6 6 7 7 7 9 10 nan
nan 8 9 11 12 14 16 18 19 20 20 20 18 16 14 12 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 9 9 8 8 9 10 10 10 11 10 7 6 5 6 6 5 5 5 5 5 5 5 6 6 7 8 9 10 10 10 9 9 9 11 12 13 13 13 13 12 12 12 12 12 12 11 10 10 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 10 11 10 10 10 11 11 12 12 13 14 13 12 8 5 3 3 4 5 8 10 10 10 12 15 16 15 13 11 9 8 7 6 5 4 4 4 4 4 5 5 5 5 5 6 6 6 7 8 9 nan
nan 10 12 14 16 17 18 19 20 20 19 17 15 12 10 8 8 8 7 7 7 7 7 7 8 8 8 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 9 9 9 9 7 6 5 5 6 6 7 7 8 8 8 8 8 8 9 10 11 12 12 11 11 11 11 13 14 14 13 13 12 13 13 12 12 12 12 11 11 11 10 8 8 8 9 10 10 10 10 10 10 11 11 11 11 10 9 9 9 10 9 9 10 10 10 9 9 9 10 10 10 10 10 10 11 10 7 3 -1 -3 -3 -2 -2 1 3 7 11 14 14 13 11 10 9 8 8 7 7 6 6 6 6 6 6 5 5 5 5 5 5 6 7 7 nan
nan 13 15 17 18 19 19 18 18 17 15 13 11 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 7 7 7 7 7 7 8 8 8 8 9 9 9 9 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 8 7 7 7 6 6 6 7 7 8 9 10 10 11 11 11 10 10 10 10 11 12 12 12 11 12 12 14 16 16 14 13 13 12 13 12 12 12 11 11 10 10 9 8 7 8 8 9 10 11 10 10 11 11 12 12 13 13 12 11 11 10 10 9 8 7 7 8 8 8 8 8 9 9 9 9 11 12 14 15 14 10 7 5 4 3 5 7 9 10 10 11 12 13 12 11 10 10 9 9 9 9 9 9 9 8 7 6 5 5 5 5 6 7 6 nan
nan 16 17 18 19 18 17 15 14 12 10 9 8 7 7 8 8 8 8 8 8 9 9 9 8 8 7 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 7 5 4 5 5 6 6 7 8 9 9 10 11 11 11 11 10 10 9 9 9 11 12 13 12 12 12 13 14 15 15 14 13 12 12 12 12 11 11 11 10 10 9 8 8 7 7 8 9 9 10 10 10 10 10 11 12 13 13 13 13 11 11 10 8 7 6 6 6 7 8 9 9 9 9 9 9 9 10 11 13 16 18 20 20 19 19 19 21 22 22 20 19 20 20 20 19 17 15 14 13 12 12 12 14 16 17 15 12 9 7 7 6 6 7 7 7 nan
nan 18 18 18 17 15 13 11 9 8 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 7 6 5 5 5 6 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 10 9 8 7 5 2 -1 -1 1 3 5 6 7 8 8 9 10 11 11 11 10 9 8 8 8 9 11 12 14 14 13 12 12 12 13 13 13 12 12 11 11 11 10 10 10 10 9 9 8 8 7 7 7 8 9 9 9 9 9 9 9 10 10 10 11 11 10 9 9 8 7 6 6 7 8 9 10 10 10 10 10 10 10 10 9 10 11 12 15 18 21 23 24 25 27 29 29 28 28 29 29 29 29 27 25 22 19 18 16 16 18 20 22 21 18 14 11 10 10 9 9 9 9 nan
nan 17 16 15 14 12 10 8 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 7 6 6 6 7 8 8 8 8 8 8 8 8 8 8 9 8 8 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 10 11 11 11 10 7 3 0 -1 -3 -4 -4 -1 2 5 5 5 5 6 7 8 10 11 11 10 9 8 7 8 9 11 13 14 15 14 12 12 11 11 11 11 11 11 11 10 10 10 10 10 9 9 8 8 8 8 7 7 7 8 8 9 9 8 8 8 8 9 8 8 8 8 7 7 8 8 8 8 9 10 10 10 10 10 10 11 11 10 10 11 10 10 10 10 11 13 15 17 18 19 20 21 21 22 23 25 27 28 30 31 30 28 26 26 24 22 19 17 17 19 19 18 16 15 15 14 12 11 10 nan
nan 13 13 12 11 10 8 7 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 8 7 6 6 6 7 8 10 10 10 10 9 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 10 10 11 11 11 11 11 11 11 10 10 9 4 -2 -7 -7 -5 -2 -0 3 6 8 8 7 6 5 5 7 8 10 10 8 7 7 7 8 8 10 13 14 14 13 12 11 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 9 9 8 8 8 8 8 9 9 9 10 10 11 11 10 10 10 10 10 12 12 11 11 11 11 11 10 11 11 11 11 12 13 13 13 12 12 13 14 15 17 19 20 22 25 26 27 28 28 25 20 15 14 17 21 23 23 23 21 19 16 13 11 nan
nan 10 10 10 10 9 8 8 8 7 7 7 7 7 8 9 8 8 8 9 9 9 8 8 7 5 4 4 5 8 10 12 13 13 11 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 9 10 11 11 12 12 12 11 11 10 9 5 -3 -9 -10 -6 1 5 7 9 10 11 10 9 8 8 8 8 8 8 6 3 3 3 4 5 8 10 11 11 10 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 8 8 8 8 9 9 8 8 7 7 6 7 7 7 7 8 9 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 13 13 13 13 12 12 12 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 12 12 14 17 19 21 22 23 24 23 19 18 19 23 25 27 27 26 23 20 16 13 nan
nan 9 9 10 10 9 9 9 9 8 7 7 7 7 7 8 8 9 10 10 10 9 8 7 6 5 4 3 4 5 8 11 15 17 15 13 11 10 10 10 10 10 9 9 9 9 9 8 8 8 8 9 10 11 12 12 12 12 11 10 8 2 -4 -7 -5 2 8 11 11 11 12 12 11 10 9 9 9 8 8 6 4 1 -0 0 1 3 6 7 8 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 8 9 9 9 9 9 8 7 7 7 7 8 7 7 7 8 9 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 12 14 14 15 15 14 13 13 12 11 10 11 11 11 12 12 12 11 11 11 10 10 10 10 10 11 13 13 14 14 16 18 20 20 18 17 17 18 20 21 22 22 19 16 13 nan
nan 9 9 9 10 10 10 10 10 9 9 8 8 7 7 7 8 9 10 10 9 8 7 7 6 5 4 5 4 4 4 7 12 16 17 16 14 12 10 9 10 10 10 9 9 9 10 9 8 8 8 8 9 10 11 11 11 11 12 11 7 3 1 1 4 9 14 15 16 16 16 14 11 10 9 9 9 8 8 7 5 4 3 3 3 3 3 3 3 4 5 7 7 7 7 7 6 6 7 7 8 9 9 9 9 9 10 10 10 10 8 7 5 5 6 8 9 10 11 11 12 13 13 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 12 14 14 15 16 16 15 14 14 12 10 10 10 9 10 11 12 12 12 11 10 10 10 10 11 11 11 11 11 11 11 12 13 14 15 15 13 11 10 10 11 13 14 14 13 11 nan
nan 9 9 10 10 10 10 10 10 10 10 10 9 8 8 8 8 9 10 9 9 8 7 6 5 4 5 6 6 4 3 3 6 11 16 18 17 13 9 8 9 9 9 10 10 10 10 10 9 8 7 7 8 8 8 9 10 11 11 9 7 6 7 8 10 14 16 18 19 19 17 13 11 10 10 10 9 9 9 8 8 8 8 7 7 6 4 3 3 4 6 7 7 7 7 6 6 5 6 7 7 8 9 9 10 10 10 10 9 8 7 7 7 7 8 9 11 12 14 15 15 15 14 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 12 13 14 15 16 16 16 15 14 11 9 8 8 8 9 10 11 12 12 11 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 13 13 12 10 8 7 7 8 8 9 9 nan
nan 9 10 10 10 10 10 10 10 10 10 11 10 10 9 9 8 9 9 9 9 9 8 6 5 5 6 7 7 5 3 2 2 6 12 17 18 14 9 7 7 8 9 10 10 10 10 10 10 9 7 6 6 6 6 7 9 10 10 8 8 9 10 10 11 14 15 15 14 13 11 10 11 12 12 11 10 10 9 9 9 9 9 9 9 8 7 7 7 7 6 5 4 4 5 5 6 6 7 7 7 8 9 9 10 10 10 9 8 8 9 10 12 13 13 13 13 14 15 15 15 14 13 12 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 12 13 14 14 14 14 11 8 7 6 6 7 8 10 11 12 11 11 10 10 10 10 10 10 11 11 11 12 12 12 12 11 12 13 14 13 12 10 8 7 7 7 7 7 nan
nan 9 10 10 10 10 9 9 10 11 11 11 11 11 10 9 9 8 8 9 10 10 9 7 5 5 6 8 8 7 5 3 1 3 8 14 16 14 10 7 7 7 9 10 10 10 11 11 11 8 6 6 6 8 7 7 8 9 10 10 10 10 10 9 10 10 9 6 3 3 4 8 12 14 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 7 5 3 2 3 4 5 6 8 8 8 8 8 8 9 9 9 9 9 10 11 13 14 14 14 13 13 13 13 12 12 12 12 13 13 12 11 11 10 10 10 10 10 9 9 8 8 9 9 9 9 9 10 10 10 10 11 10 7 6 6 6 7 8 9 10 12 12 11 11 11 10 10 10 10 11 11 11 12 12 13 12 11 10 10 11 12 12 11 10 9 8 8 7 7 8 nan
nan 10 10 10 10 10 10 10 10 11 11 11 11 11 10 9 9 8 8 9 10 11 10 7 6 6 7 8 8 8 7 5 2 1 5 11 15 14 10 8 7 7 9 10 11 11 11 11 10 8 7 7 9 9 8 7 8 9 9 9 9 8 7 8 9 7 3 -3 -3 0 5 10 14 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 6 5 4 4 5 6 7 8 8 7 6 7 7 8 9 9 10 11 11 10 10 10 10 11 10 10 10 10 10 11 12 12 12 12 11 11 10 10 10 10 9 9 10 10 10 10 9 9 8 8 8 7 7 7 6 5 6 7 8 9 10 11 11 13 13 12 11 11 10 10 10 10 11 11 12 13 14 14 12 11 10 10 10 10 9 9 8 8 8 8 8 8 8 nan
nan 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 8 8 8 9 10 10 9 8 7 8 8 9 9 8 7 4 1 2 8 12 14 11 9 8 9 10 11 11 11 12 11 10 9 9 9 9 8 7 8 8 9 7 6 5 5 7 9 9 6 1 -1 2 8 13 16 16 12 11 11 12 12 12 12 13 13 13 13 13 13 14 15 15 15 14 14 13 12 10 8 6 5 5 5 6 7 7 7 7 7 7 8 8 8 8 8 7 8 9 10 10 10 10 10 10 10 10 10 10 11 11 11 12 13 13 12 11 11 11 11 12 11 10 9 9 8 8 7 6 6 7 6 7 8 9 10 11 11 11 12 13 13 13 12 11 10 10 10 10 11 12 13 14 14 14 14 14 14 13 12 10 8 7 7 7 7 7 8 8 7 nan
nan 9 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 9 8 8 8 9 9 9 8 8 8 8 8 9 9 8 6 2 2 5 10 13 12 10 10 11 11 10 11 12 12 11 8 8 8 10 8 7 8 9 9 7 5 4 5 7 9 11 10 7 5 7 12 17 19 18 14 11 10 11 11 10 12 14 15 16 16 17 17 17 18 20 20 19 17 16 15 15 14 13 11 9 7 6 5 6 8 9 9 8 8 8 8 8 8 8 9 11 12 13 12 12 11 11 12 11 10 10 9 10 11 12 13 13 13 11 10 10 10 10 10 10 10 9 9 9 8 7 7 8 8 8 9 9 10 11 11 11 11 13 13 14 14 13 12 11 11 10 11 13 14 14 14 13 12 14 15 16 16 14 11 9 8 8 8 8 8 8 8 7 nan
nan 10 10 10 10 10 11 11 10 10 10 10 10 10 10 11 11 11 9 8 8 8 8 8 8 8 8 8 8 8 8 8 6 4 3 5 9 13 13 12 11 11 10 10 10 11 10 8 7 7 8 8 8 8 10 10 9 5 4 5 7 9 10 10 9 8 9 12 16 17 16 13 11 11 11 10 9 9 11 13 14 15 16 17 17 18 20 20 19 18 18 17 18 18 18 18 17 16 13 11 9 9 10 11 11 11 11 10 10 10 10 11 13 13 13 13 12 12 12 12 13 12 11 11 10 11 12 13 13 11 9 9 8 8 8 8 9 9 10 9 9 8 8 9 9 9 9 9 10 11 11 11 11 11 12 13 14 15 15 14 13 12 12 12 13 14 14 13 12 11 11 12 13 14 13 12 11 10 10 10 11 11 11 10 10 10 nan
nan 9 10 10 10 10 10 10 10 10 9 9 9 10 10 11 12 12 11 9 8 7 7 8 8 8 8 8 8 8 7 7 6 5 4 6 11 15 15 14 12 10 10 10 10 8 7 7 7 8 8 8 9 10 11 11 7 4 5 6 8 9 9 9 9 9 10 11 12 12 11 10 10 10 10 8 7 8 10 11 11 12 13 14 14 15 16 15 15 15 16 18 20 20 21 22 22 21 20 19 19 18 16 15 14 13 12 12 11 11 12 13 13 12 11 10 10 11 12 12 12 12 12 11 11 12 12 11 10 8 7 7 8 8 8 9 9 10 10 9 9 9 9 10 11 11 11 12 12 12 12 12 11 12 13 13 14 16 15 14 14 13 12 13 14 13 13 12 11 10 10 10 10 10 10 10 12 14 15 16 16 17 17 16 15 15 nan
nan 9 10 10 10 10 10 10 10 10 9 9 9 10 10 12 13 13 11 9 7 6 7 7 7 7 7 7 7 7 7 6 5 4 5 8 14 17 17 14 11 9 9 9 9 8 9 10 10 10 9 9 10 11 11 10 7 6 6 7 8 9 9 9 9 10 10 10 10 10 10 9 8 8 7 6 7 9 10 10 10 10 11 11 11 12 12 12 12 13 14 16 18 19 20 21 21 21 22 23 25 24 21 18 15 13 12 12 12 12 12 12 12 11 10 9 10 10 11 11 11 11 11 11 11 11 11 10 8 7 7 8 9 9 10 11 11 11 10 10 11 11 12 13 13 14 15 15 14 14 13 12 12 13 13 14 15 16 15 14 13 13 12 13 12 12 11 10 10 10 10 9 9 10 12 14 17 20 22 23 23 23 24 24 23 22 nan
nan 8 9 9 10 10 10 10 10 10 10 10 10 10 11 12 13 12 11 10 8 7 8 8 8 7 7 7 7 7 6 5 4 4 5 10 16 18 16 14 10 8 8 8 9 11 12 12 11 10 10 10 10 10 10 9 7 6 6 7 9 9 9 10 10 10 10 11 11 11 9 6 5 4 5 6 8 9 10 10 10 10 10 10 11 11 11 11 12 12 13 13 14 15 16 16 16 16 18 19 21 20 18 16 14 13 12 12 12 12 12 12 12 11 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 9 9 10 10 11 12 13 13 13 12 13 13 14 15 16 16 15 15 15 14 14 13 13 13 13 13 14 15 14 13 12 11 11 11 11 10 10 9 9 9 9 9 9 10 13 16 21 24 26 27 28 28 29 29 29 29 28 nan
nan 8 8 9 9 10 10 10 10 10 10 11 11 11 12 12 12 13 12 11 10 9 9 8 7 7 7 7 6 5 5 4 4 4 7 12 17 17 16 13 10 8 7 8 10 12 12 10 10 10 10 10 10 10 10 9 8 7 7 8 9 10 10 10 11 10 10 11 10 9 6 4 3 3 5 7 8 10 10 11 10 11 11 11 12 12 12 12 12 13 13 13 14 14 13 12 11 11 11 12 12 12 12 12 12 12 11 11 12 12 12 11 10 10 9 9 9 9 9 10 10 11 11 11 12 12 12 12 11 11 11 12 13 13 14 14 13 13 14 14 15 15 16 16 15 15 14 14 14 14 14 14 14 13 13 12 12 11 11 10 10 10 10 10 10 10 9 9 9 9 9 10 12 14 17 22 25 27 28 28 28 28 28 28 28 28 nan
nan 10 10 10 10 10 9 9 9 10 10 11 12 12 12 12 12 13 13 13 11 9 8 7 7 6 6 6 6 5 4 2 3 5 9 14 17 16 15 12 9 7 8 10 12 12 10 9 9 9 10 10 10 10 10 9 8 7 8 10 10 10 10 11 10 10 10 10 9 7 5 4 4 5 7 8 9 10 11 11 11 11 12 12 12 12 12 12 12 13 13 14 14 13 12 11 9 8 7 8 8 9 9 10 10 9 9 9 10 10 9 8 7 7 6 6 6 6 7 7 8 9 10 11 12 13 13 12 12 12 13 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 12 12 13 14 15 15 13 12 11 10 9 9 9 9 9 10 10 10 10 10 9 9 10 10 11 12 13 14 17 20 22 23 22 22 21 22 21 21 21 nan
nan 11 11 11 11 10 9 9 9 9 10 10 11 11 11 12 12 13 13 12 10 8 7 6 6 6 6 6 5 5 3 2 2 5 10 14 15 14 12 9 8 8 10 13 13 11 10 9 10 10 11 11 11 11 11 9 8 9 10 10 10 10 10 10 10 10 10 9 9 7 6 6 7 8 10 10 11 11 12 12 12 12 13 13 12 12 12 12 12 13 13 13 13 12 12 11 11 10 10 10 10 10 9 8 7 7 7 7 7 7 6 5 4 4 4 4 4 4 4 4 4 5 7 9 11 12 11 11 12 12 13 13 13 13 12 11 12 12 12 12 12 12 12 11 11 12 12 10 10 11 13 14 14 13 12 10 9 9 8 8 9 9 10 10 10 10 10 10 10 11 12 12 12 11 11 11 12 14 15 15 13 13 12 13 12 12 nan
nan 11 11 11 11 10 9 8 8 8 9 9 10 11 11 11 12 12 11 10 9 8 7 6 6 6 6 6 6 5 4 3 3 6 10 13 12 11 9 9 9 11 12 13 11 10 10 10 10 12 12 12 12 12 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 8 8 8 9 11 12 12 12 13 13 13 13 13 13 12 12 12 11 11 12 12 12 13 13 13 14 14 15 16 16 16 15 13 12 10 9 8 7 6 6 5 4 4 4 4 5 6 6 5 4 3 2 3 4 6 7 8 9 10 11 12 12 12 11 10 10 10 11 12 11 11 11 11 11 10 11 11 11 10 9 9 10 11 12 12 11 10 10 9 9 9 9 9 10 10 10 11 11 12 12 13 13 13 12 10 9 8 8 8 8 8 8 7 6 7 7 7 nan
nan 10 10 10 10 10 9 8 8 8 8 9 10 10 10 10 10 9 9 8 8 8 7 7 7 7 7 7 7 7 6 4 4 5 8 10 9 9 9 10 11 11 11 9 8 9 9 10 10 12 13 13 12 11 8 8 8 8 7 7 7 8 9 9 10 11 11 11 10 9 8 8 10 11 12 13 14 15 15 15 14 14 13 12 12 11 11 11 11 12 12 13 14 14 15 15 17 18 18 18 18 17 16 14 13 12 11 9 8 7 6 6 7 8 9 9 9 8 7 6 6 5 5 5 6 7 9 11 11 11 11 10 9 9 9 10 11 10 10 10 10 10 10 10 11 11 11 11 9 8 7 8 9 10 10 10 10 10 10 10 9 9 10 10 11 11 12 13 13 14 13 13 11 10 9 7 6 6 6 6 6 6 6 6 6 6 nan
nan 9 9 9 9 9 8 8 9 9 9 9 9 8 8 8 7 7 8 8 9 9 8 8 8 8 9 9 9 8 8 7 6 6 6 8 9 10 11 12 12 10 8 7 7 8 9 9 11 12 13 13 11 8 6 6 6 6 5 4 5 6 8 10 11 11 11 11 10 9 9 9 10 11 12 14 17 18 17 16 15 14 12 12 11 11 11 11 12 12 13 13 14 13 13 13 14 14 15 16 17 17 16 16 15 15 14 13 12 11 10 11 11 12 12 12 12 12 12 11 11 10 10 10 10 11 11 11 11 11 10 9 9 9 9 9 10 9 9 10 10 10 10 10 11 12 13 13 11 8 7 7 8 9 10 11 11 11 10 10 10 10 10 11 11 12 13 13 13 13 13 12 10 9 8 8 7 6 6 6 7 7 7 7 7 7 nan
nan 10 10 10 10 9 9 9 9 9 8 8 7 7 7 7 7 7 8 9 9 9 9 8 8 9 9 10 10 10 9 8 8 7 6 8 10 12 13 13 11 9 8 7 7 9 10 11 12 13 14 13 10 7 7 7 8 7 5 6 7 8 10 12 12 11 11 11 10 9 8 8 10 11 14 17 19 20 19 17 15 13 12 12 11 11 12 12 12 13 13 13 13 12 11 10 10 11 12 13 14 14 15 15 16 16 16 16 15 14 14 14 14 14 14 15 15 15 16 15 15 14 14 13 12 12 11 10 10 9 9 8 8 8 9 9 9 9 9 10 10 10 10 11 12 13 15 15 12 9 7 6 7 8 10 11 11 11 11 11 10 10 10 11 11 12 13 13 13 12 11 10 9 9 9 8 8 7 6 6 7 7 7 7 7 7 nan
nan 10 10 10 10 9 9 9 9 8 7 7 7 7 7 7 8 8 8 9 9 9 8 8 7 8 9 10 10 10 10 10 9 8 7 8 10 12 13 12 11 10 9 9 9 10 11 12 13 14 14 13 9 8 9 10 10 9 9 10 11 12 14 13 12 11 10 9 8 8 7 9 11 13 16 19 21 20 19 17 14 12 12 12 12 12 12 12 12 12 12 12 11 10 9 8 8 9 10 10 11 11 13 14 15 16 17 17 17 17 17 17 17 17 17 17 18 18 18 18 17 17 16 14 12 10 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 11 11 12 14 16 15 12 9 6 5 6 8 10 11 11 11 11 10 10 10 10 10 11 12 12 13 12 10 9 8 8 9 9 8 8 8 7 6 6 7 7 7 7 7 nan
nan 10 10 9 9 8 8 8 8 8 7 7 7 7 8 8 8 8 8 9 9 9 9 8 7 7 8 9 10 10 11 11 11 9 8 9 10 12 13 12 11 11 10 10 10 11 11 12 13 13 12 10 9 10 11 11 10 10 11 12 13 15 16 14 13 11 9 8 7 7 8 10 12 15 17 20 21 20 18 15 13 12 11 11 12 12 12 12 12 12 11 10 10 9 9 8 8 8 8 8 9 9 10 11 12 14 14 15 15 16 17 18 18 18 18 18 17 17 17 18 18 18 18 15 12 9 8 8 7 7 7 8 9 9 9 9 9 9 9 10 10 10 11 11 12 13 14 13 10 7 5 5 6 8 10 11 11 11 10 10 10 10 10 10 10 11 12 12 11 9 7 7 8 9 9 9 9 9 8 8 8 8 8 7 7 7 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
2648 2699 2694 2621 2496 2377 2312 2329 2373 2411 2459 2483 2472 2442 2397 2332 2251 2185 2126 2102 2078 2016 1919 1827 1768 1695 1534 1301 1128 1085 1103 1090 1060 1110 1055 929 826 671 444 247 154 104 76 71 95 133 166 186 197 197 181 159 139 124 111 97 81 63 41 43 41 45 57 77 102 136 185 257 338 413 474 545 626 713 835 1022 1244 1421 1631 1836 1946 2031 2304 2755 2868 2917 2967 3022 3063 3086 3123 3189 3244 3294 3370 3464 3586 3576 3619 3686 3609 3612 3758 3792 3813 3837 3811 3761 3714 3673 3627 3569 3530 3467 3418 3393 3361 3335 3389 3385 3392 3325 3305 3380 3439 3369 3355 3407 3470 3501 3532 3586 3634 3670 3707 3702 3697 3690 3648 3642 3650 3635 3599 3544 3490 3429 3345 3259 3181 3096 2982 2884 2776 2677 2586 2508 2450 2404 2341 2273 2208 2147 2088 2013 1919 1836 1782 1749 1741 1701 1649 1607 1580 1565 1553 1592 1590 1479 1339 1198 1076 1007 1034 1131 1146 1394 1535
2602 2623 2602 2536 2444 2369 2342 2365 2392 2403 2403 2391 2374 2364 2351 2298 2191 2119 2069 2037 1999 1935 1850 1758 1647 1483 1289 1100 1017 997 963 912 853 807 704 573 470 378 285 213 174 146 133 139 163 185 192 187 180 169 154 138 118 104 100 92 75 63 57 57 57 58 62 68 78 92 117 154 214 283 355 431 501 578 689 845 1026 1220 1426 1672 1913 2039 2169 2617 2926 3018 3068 3134 3192 3224 3248 3277 3293 3318 3403 3478 3574 3639 3727 3801 3737 3692 3818 3826 3847 3873 3880 3865 3847 3838 3780 3729 3674 3619 3578 3537 3490 3485 3570 3480 3446 3445 3417 3438 3536 3460 3444 3569 3661 3617 3594 3648 3729 3774 3792 3800 3802 3764 3714 3695 3682 3639 3614 3583 3551 3508 3444 3375 3311 3262 3190 3090 2997 2896 2802 2721 2658 2606 2541 2467 2380 2318 2255 2163 2070 2006 1952 1919 1879 1838 1794 1754 1718 1708 1684 1690 1688 1656 1555 1403 1244 1092 973 1096 1060 1176 1325
2514 2504 2466 2407 2351 2325 2340 2378 2400 2394 2364 2323 2288 2273 2267 2213 2113 2041 1982 1942 1904 1844 1764 1687 1580 1417 1217 1041 906 798 709 644 572 495 418 363 327 298 270 244 228 214 208 215 225 220 194 163 141 127 115 108 97 87 82 79 72 65 61 58 57 55 53 52 54 61 74 90 112 146 187 234 293 364 447 557 726 903 1064 1242 1437 1604 1723 2007 2497 2848 3035 3155 3241 3289 3298 3286 3282 3279 3318 3363 3415 3496 3620 3730 3698 3689 3778 3802 3811 3830 3840 3831 3842 3856 3844 3823 3793 3754 3717 3685 3627 3625 3618 3564 3497 3470 3460 3443 3574 3645 3720 3828 3841 3725 3617 3665 3768 3810 3851 3833 3796 3755 3731 3728 3705 3675 3596 3580 3555 3514 3458 3386 3328 3268 3213 3156 3093 3022 2946 2875 2817 2766 2688 2604 2526 2470 2409 2343 2294 2216 2138 2068 2006 1989 2001 1973 1914 1884 1872 1850 1834 1807 1729 1607 1467 1297 1102 1125 1115 1101 1153
2383 2344 2306 2272 2245 2243 2260 2296 2328 2335 2309 2267 2234 2213 2192 2124 2031 1956 1910 1871 1807 1713 1618 1564 1460 1350 1180 991 810 656 551 472 406 356 325 319 324 329 330 325 313 286 267 251 233 206 170 135 113 103 93 86 82 76 71 69 66 61 56 48 44 41 39 39 40 43 48 53 54 66 82 98 119 153 199 257 338 469 612 747 888 1036 1157 1235 1761 2287 2656 2902 3071 3167 3193 3174 3155 3146 3164 3199 3237 3290 3384 3526 3544 3599 3661 3688 3695 3709 3725 3694 3699 3727 3764 3792 3805 3802 3794 3800 3750 3743 3781 3741 3636 3558 3554 3557 3678 3758 3821 3873 3838 3702 3595 3677 3830 3943 3912 3814 3750 3734 3746 3767 3746 3737 3699 3653 3621 3588 3523 3441 3394 3338 3267 3232 3191 3128 3053 2974 2880 2806 2761 2703 2650 2596 2526 2461 2416 2348 2287 2238 2183 2130 2140 2136 2088 2024 2006 2014 2013 1952 1878 1811 1701 1541 1366 1252 1182 1125 1126
2254 2186 2156 2155 2150 2142 2154 2191 2249 2288 2264 2207 2185 2188 2155 2073 1970 1883 1825 1763 1667 1549 1439 1382 1320 1229 1092 928 764 628 530 446 391 358 352 360 367 375 389 401 367 300 253 218 188 161 133 112 98 91 84 78 74 70 63 57 53 47 40 33 28 26 24 23 23 25 29 33 36 38 40 43 47 53 67 87 112 159 221 289 363 441 621 603 1021 1551 1998 2352 2653 2848 2946 2971 2978 2984 3001 3029 3055 3067 3172 3240 3302 3385 3461 3508 3522 3538 3558 3513 3527 3549 3585 3612 3643 3685 3729 3780 3779 3761 3794 3822 3777 3691 3657 3692 3749 3788 3792 3848 3897 3799 3656 3863 3901 3834 3728 3648 3616 3662 3737 3758 3740 3754 3749 3740 3738 3714 3641 3556 3495 3466 3454 3421 3360 3284 3196 3096 3010 2929 2860 2799 2738 2670 2610 2571 2513 2450 2412 2396 2354 2242 2222 2226 2188 2123 2074 2053 2033 2003 1975 1961 1878 1752 1615 1478 1362 1222 1179
2179 2090 2060 2068 2071 2058 2081 2117 2177 2225 2211 2171 2201 2236 2189 2090 1956 1843 1763 1670 1536 1408 1297 1247 1191 1107 995 870 756 672 585 513 468 444 427 402 374 359 355 362 314 245 196 164 139 116 96 91 89 86 78 68 59 52 46 40 37 34 31 24 17 12 10 10 10 9 11 15 17 17 17 18 20 20 21 24 28 36 45 59 81 78 228 246 487 917 1353 1690 2064 2355 2548 2678 2751 2790 2813 2833 2850 2832 2925 2982 3023 3082 3167 3249 3297 3359 3434 3483 3539 3517 3429 3379 3419 3499 3556 3649 3700 3725 3776 3818 3813 3770 3741 3772 3776 3760 3729 3686 3709 3696 3551 3655 3581 3473 3376 3297 3304 3458 3523 3499 3524 3631 3761 3827 3820 3783 3740 3681 3630 3611 3603 3577 3533 3461 3379 3271 3183 3099 3009 2919 2834 2784 2740 2676 2607 2555 2523 2507 2487 2438 2424 2405 2350 2268 2185 2119 2065 2042 2046 2050 2021 1939 1805 1682 1617 1434 1325
2166 2063 2012 2004 2006 1987 2036 2091 2138 2147 2120 2117 2198 2307 2304 2197 2046 1891 1745 1590 1411 1266 1164 1097 1045 990 925 845 760 692 614 549 501 466 438 395 338 300 279 243 207 170 141 116 96 81 68 68 68 67 58 45 35 30 29 24 23 23 21 14 7 3 2 3 1 1 2 3 4 4 4 3 5 5 4 4 4 3 1 1 8 4 70 76 146 304 552 1060 1481 1834 2110 2299 2424 2507 2562 2573 2577 2576 2631 2705 2739 2753 2799 2881 2971 3082 3197 3293 3419 3473 3378 3308 3316 3372 3436 3538 3583 3587 3606 3615 3605 3581 3551 3561 3493 3329 3168 3105 3194 3154 3051 3037 3000 2939 2945 2974 2963 3075 3122 3156 3229 3364 3556 3677 3648 3633 3690 3743 3750 3722 3681 3667 3652 3608 3549 3461 3366 3270 3174 3068 2973 2911 2832 2753 2697 2654 2616 2586 2572 2587 2611 2553 2465 2390 2310 2228 2213 2190 2145 2118 2108 2074 1963 1840 1763 1650 1534
2151 2059 2009 1993 1942 1930 1971 2024 2045 2017 1980 2002 2100 2228 2282 2219 2088 1900 1684 1470 1266 1094 995 936 914 904 876 811 706 602 521 463 408 353 298 251 222 208 186 161 138 114 94 77 62 55 46 41 36 28 22 17 12 7 8 9 8 9 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 11 28 113 529 874 1230 1514 1757 1945 2062 2141 2153 2140 2178 2222 2294 2339 2343 2384 2475 2569 2689 2810 2917 3024 3110 3141 3144 3163 3224 3239 3232 3242 3269 3246 3149 3060 3035 2987 2922 2776 2507 2161 2010 2270 2263 2246 2247 2145 2002 2054 2180 2362 2489 2564 2660 2777 2861 3001 3079 3084 3100 3185 3296 3399 3496 3549 3608 3600 3598 3599 3582 3532 3462 3383 3272 3171 3076 2977 2889 2827 2767 2716 2673 2656 2668 2654 2596 2546 2534 2495 2392 2358 2312 2241 2182 2161 2151 2089 2007 1918 1827 1720
2052 2032 2024 1998 1903 1857 1846 1857 1842 1795 1765 1800 1895 2012 2043 1982 1856 1675 1456 1237 1047 904 848 834 844 831 773 682 572 474 404 350 304 255 210 179 158 141 116 92 75 59 46 37 31 26 22 17 11 6 3 1 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 2 13 91 265 600 896 1123 1323 1455 1541 1523 1497 1532 1530 1572 1689 1724 1784 1857 2019 2207 2364 2491 2613 2721 2788 2834 2852 2917 2917 2883 2889 2891 2742 2472 2365 2327 2304 2249 2115 1875 1589 1542 1547 1565 1623 1657 1605 1489 1453 1519 1639 1764 1845 1919 1981 2044 2120 2221 2225 2204 2213 2288 2450 2550 2671 2893 3011 3099 3215 3379 3561 3552 3508 3446 3368 3279 3184 3093 3008 2927 2849 2784 2753 2738 2706 2662 2647 2670 2661 2579 2490 2414 2340 2257 2217 2190 2159 2117 2047 1955 1865
1883 1930 1959 1942 1834 1709 1638 1619 1595 1550 1523 1562 1665 1701 1662 1577 1466 1328 1168 1006 877 776 730 712 704 669 591 490 405 319 278 249 223 193 163 140 115 88 58 39 26 18 13 11 8 5 5 3 2 4 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 1 3 33 103 251 440 645 821 959 990 983 983 985 987 992 1049 1135 1170 1406 1666 1878 2062 2231 2347 2407 2441 2457 2499 2522 2507 2499 2476 2179 1950 1806 1785 1821 1809 1735 1549 1405 1309 1244 1210 1203 1187 1132 1070 1071 1108 1175 1220 1246 1278 1282 1300 1363 1394 1410 1409 1406 1452 1357 1339 1509 1780 1965 2115 2461 2719 3077 3233 3319 3394 3433 3397 3342 3271 3176 3092 2997 2913 2857 2825 2795 2768 2740 2727 2689 2623 2568 2518 2424 2339 2295 2260 2222 2184 2142 2073 1993
1756 1810 1824 1782 1651 1503 1405 1358 1318 1291 1322 1359 1381 1343 1284 1202 1086 954 834 726 652 596 554 521 500 473 411 304 246 187 166 153 142 129 105 72 50 38 22 12 5 1 1 2 1 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 1 1 9 46 148 275 490 587 609 610 598 563 548 639 769 869 1029 1217 1416 1641 1880 1997 2064 2094 2107 2113 2106 2089 2147 1946 1778 1640 1524 1481 1498 1455 1413 1333 1236 1112 998 918 876 841 792 741 732 742 771 807 809 798 811 821 875 949 994 994 982 1052 1144 1062 1093 1254 1357 1373 1737 1994 2278 2526 2723 2922 3126 3221 3273 3307 3269 3209 3136 3066 3008 2950 2883 2839 2819 2799 2773 2739 2674 2598 2508 2428 2390 2357 2303 2274 2252 2195 2105
1633 1626 1600 1547 1429 1308 1232 1188 1172 1180 1174 1135 1094 1053 968 856 739 634 548 481 426 370 334 304 282 261 223 156 128 104 94 88 85 80 66 42 20 12 6 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 1 3 7 22 174 263 292 307 308 281 284 437 614 773 903 1028 1187 1396 1591 1679 1719 1732 1728 1706 1652 1589 1570 1536 1463 1339 1213 1122 1083 1013 962 908 855 788 714 643 601 566 521 510 503 483 472 461 443 432 443 436 445 496 550 589 594 618 675 692 735 853 1024 1014 1165 1352 1624 1831 1993 2189 2485 2686 2868 3050 3136 3167 3180 3177 3148 3086 3031 2983 2951 2929 2914 2900 2851 2769 2684 2578 2493 2466 2434 2399 2365 2285 2193
1464 1393 1334 1293 1195 1136 1121 1100 1067 1030 947 840 769 698 625 551 484 422 350 300 243 209 189 168 143 118 91 69 58 51 48 47 49 47 32 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 1 4 3 42 72 82 108 176 222 260 344 499 662 784 893 1023 1140 1236 1260 1241 1207 1166 1121 1063 993 924 853 812 788 739 646 579 526 464 394 351 352 333 302 302 289 268 249 242 256 247 222 223 228 240 247 255 271 281 288 292 303 314 321 362 415 532 638 797 903 883 984 1284 1523 1858 2081 2309 2534 2718 2889 3063 3188 3214 3188 3157 3126 3085 3039 3023 3002 2970 2921 2854 2757 2657 2596 2542 2481 2447 2374 2288
1305 1222 1144 1120 1061 1052 1044 988 883 761 645 559 506 438 390 346 301 266 224 192 163 137 119 98 74 54 36 25 19 16 16 20 25 21 9 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 1 1 5 9 14 40 113 164 177 241 349 443 482 527 596 610 601 594 577 554 510 452 429 405 358 295 276 285 268 219 195 177 154 123 104 116 123 126 127 128 125 123 126 133 135 130 132 140 151 161 170 177 178 170 165 163 157 152 186 219 244 320 448 556 629 697 790 1015 1224 1407 1624 1860 2118 2418 2702 2898 3029 3113 3151 3152 3117 3070 3072 3075 3062 3013 2952 2891 2826 2748 2675 2566 2504 2455 2371
1200 1137 1048 1024 1018 1008 951 839 695 552 455 385 343 299 256 218 185 160 139 118 97 81 69 53 34 18 8 4 3 2 2 2 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 1 4 30 75 127 155 159 164 158 140 142 137 107 75 61 103 105 81 85 84 73 54 44 49 55 50 45 45 46 44 45 47 51 59 61 59 58 62 67 74 82 83 86 91 96 104 114 119 122 119 114 108 103 100 99 117 131 153 198 254 321 424 566 717 798 856 933 1114 1518 1964 2185 2361 2558 2765 2942 3066 3066 3051 3074 3095 3092 3066 3033 2989 2954 2893 2816 2736 2659 2573 2475
1159 1109 1018 973 968 928 817 664 518 388 308 261 232 197 155 118 94 85 81 68 58 47 35 21 10 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 4 11 18 15 7 15 21 11 10 12 5 3 1 0 4 6 7 6 6 4 1 4 7 9 9 9 12 12 11 14 18 20 19 18 22 26 33 43 50 55 58 60 63 69 76 84 89 90 88 84 83 83 85 87 91 99 112 133 171 264 353 442 514 591 694 747 1129 1464 1600 1768 2006 2206 2590 2782 2892 2951 2978 3000 3046 3073 3040 3018 3020 2989 2925 2860 2800 2725 2634
1164 1096 1003 934 889 815 674 503 371 278 225 185 153 122 93 69 54 44 34 23 15 11 8 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 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 2 3 2 4 11 12 16 22 27 32 35 33 42 49 54 61 66 67 67 68 74 78 80 82 85 90 94 100 113 161 195 233 296 388 700 774 875 959 1035 1240 1701 1951 2206 2407 2565 2687 2783 2848 2925 2970 2957 2976 3018 3028 2994 2952 2917 2852 2772
1182 1087 975 881 802 695 544 383 265 196 152 122 99 76 53 34 22 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 6 9 10 11 12 14 16 21 21 26 29 33 43 52 53 54 57 65 70 75 79 82 87 90 95 101 115 136 166 207 250 411 561 710 792 837 1018 1457 1786 1996 2071 2178 2326 2555 2746 2852 2896 2882 2883 2908 2916 2933 2937 2935 2894 2828
1188 1086 950 840 723 562 394 273 185 135 108 87 66 45 24 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 1 3 5 6 6 8 9 9 9 10 11 12 16 18 21 22 28 38 45 49 52 56 59 62 66 70 73 79 85 90 96 104 118 139 156 194 268 380 527 661 768 978 1218 1261 1324 1540 1778 1920 2159 2438 2679 2792 2807 2790 2771 2750 2789 2832 2846 2818 2774
1235 1093 887 694 502 348 248 176 124 98 76 56 37 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 0 2 3 4 5 7 8 9 10 10 12 16 19 24 27 28 29 35 40 45 48 52 57 61 65 69 70 74 79 84 91 99 107 123 134 157 192 256 359 478 643 828 1047 1122 1078 1097 1190 1425 1821 2130 2356 2556 2670 2739 2734 2718 2726 2735 2728 2716 2730
1296 1059 785 539 354 234 161 112 84 68 48 29 14 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 5 9 10 10 13 20 24 28 30 30 30 32 35 39 42 45 49 55 63 68 71 74 78 82 86 94 101 115 131 147 163 190 259 378 575 730 866 952 868 735 801 1058 1525 1966 2244 2444 2626 2700 2713 2693 2669 2644 2615 2626 2661
1259 916 611 372 212 126 88 62 39 32 16 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 6 8 10 15 22 24 24 24 26 28 31 34 36 38 41 45 49 56 62 66 71 76 81 84 89 97 109 125 143 156 172 199 297 485 646 723 756 752 821 856 1057 1489 1979 2293 2507 2661 2704 2686 2636 2585 2555 2532 2552 2569
982 634 376 211 118 67 34 17 6 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 6 13 18 18 18 18 20 22 26 30 33 36 39 44 49 53 57 60 63 66 69 69 76 88 101 116 134 143 159 204 266 360 476 562 710 751 817 882 1044 1308 1591 2138 2510 2712 2749 2695 2665 2636 2572 2540 2536 2531
565 322 176 98 59 31 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 10 11 11 14 16 20 26 31 36 43 50 55 56 56 56 58 60 61 64 71 81 94 105 116 128 147 203 276 342 456 624 882 859 737 689 769 923 1165 1701 2264 2621 2767 2796 2700 2687 2672 2648 2612 2592
228 119 66 33 11 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 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 4 4 6 10 17 25 33 39 46 54 56 54 52 53 55 57 59 65 74 85 97 108 115 118 133 178 253 329 451 590 767 772 615 499 747 919 1172 1596 1992 2233 2376 2134 2071 2383 2641 2733 2737 2713
56 27 15 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 15 24 31 37 43 47 45 42 45 49 52 56 62 72 84 97 110 122 132 132 127 136 170 248 358 485 580 622 591 470 838 1068 1269 1456 1591 1638 1755 1572 1583 1810 2119 2437 2670 2719
5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 17 23 28 33 34 32 34 42 48 53 59 68 81 95 109 121 132 139 138 131 131 160 224 321 448 590 691 650 555 707 903 1114 1307 1368 1349 1366 1322 1281 1261 1355 1755 1981 2222
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 12 18 24 23 26 33 40 47 55 65 77 89 102 115 126 135 141 144 140 141 164 201 258 346 445 608 571 552 625 763 883 1052 1123 1164 1202 1206 1157 1072 1047 1156 1283 1482
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 12 17 22 29 37 47 58 72 85 94 104 116 127 137 143 146 136 138 146 160 186 239 316 402 482 555 639 774 869 910 948 986 998 997 967 927 830 761 843 984
0 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 0 1 2 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 15 23 32 42 57 73 85 92 100 111 125 138 146 146 140 136 137 142 155 196 253 331 421 514 620 709 759 799 848 867 833 813 771 716 599 529 588 727
0 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 2 3 2 4 5 5 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 0 0 0 0 0 1 1 1 7 16 22 30 43 59 70 78 87 100 118 136 148 152 149 144 142 142 155 182 214 248 293 352 447 492 569 635 688 765 806 785 705 585 474 430 488 566
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 1 2 3 3 4 5 4 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 0 0 0 0 0 0 2 5 9 14 17 20 27 37 46 56 69 84 106 128 145 154 157 156 157 154 162 178 189 194 212 235 270 293 335 417 517 652 734 716 628 505 395 370 413 440
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 3 3 2 3 4 5 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 16 17 20 25 31 36 44 58 72 92 114 134 148 159 162 162 161 166 174 176 169 173 177 191 213 245 288 387 543 662 689 608 458 351 359 384 390
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0 0 0 0 0 0 0 1 1 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 17 18 20 24 29 34 38 45 55 67 76 76 71 71 77 90 108 124 133 137 140 138 144 152 151 145 134 136 187 262 333 394 446 474 460 422 395 392 418
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