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 9 8 7 7 7 7 6 6 7 7 8 8 7 7 7 7 7 7 7 6 6 6 7 8 7 7 8 10 11 11 12 12 12 11 11 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 8 7 7 7 8 9 10 11 11 12 12 11 11 10 9 7 6 6 7 9 11 11 9 8 8 8 9 9 10 9 9 10 10 11 11 11 11 10 10 9 9 8 8 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 8 7 6 6 6 7 6 5 5 5 nan
nan 6 7 8 9 7 7 8 8 7 6 6 6 6 6 6 6 6 6 6 7 6 6 6 7 8 9 9 10 10 11 12 12 11 11 11 10 9 8 8 9 9 9 9 9 9 10 9 8 7 6 7 7 7 7 8 8 7 7 7 7 8 8 8 8 7 7 7 7 8 9 9 10 10 11 11 11 11 10 9 7 6 7 8 10 12 11 11 10 10 9 10 10 9 9 9 10 10 10 11 12 12 12 11 11 10 9 9 8 8 7 7 6 6 6 6 6 6 5 5 5 5 5 6 6 6 5 6 6 6 6 6 6 7 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 9 8 8 7 7 7 7 7 7 8 8 9 9 8 7 6 6 6 7 6 5 4 nan
nan 6 6 7 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 8 11 12 12 12 12 11 11 11 11 10 9 8 7 7 7 7 8 8 8 8 9 9 9 8 6 5 6 6 6 7 7 8 7 7 7 7 8 9 9 9 8 7 7 6 6 7 8 8 9 9 10 10 11 11 10 9 8 7 7 9 12 13 12 12 11 11 11 10 10 10 10 10 10 9 10 12 12 12 12 11 11 10 9 9 8 8 8 7 7 7 6 6 6 6 5 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 9 9 8 8 7 7 7 7 7 7 8 8 9 9 9 8 7 6 6 7 7 6 5 nan
nan 6 6 7 7 7 6 6 6 7 7 7 7 7 7 7 6 6 6 6 7 8 8 9 10 11 12 12 12 11 11 10 11 11 10 9 8 8 7 7 7 7 8 8 8 9 9 8 7 6 6 6 6 6 7 7 7 7 7 7 8 8 9 10 10 9 8 7 6 6 7 7 7 8 8 8 8 8 9 10 10 9 7 6 8 10 13 13 13 12 12 12 11 11 11 11 11 10 9 9 10 10 11 11 11 10 10 10 9 9 9 8 8 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 9 9 8 8 8 8 9 9 10 10 10 11 11 11 12 12 12 12 12 12 13 12 12 12 12 11 11 11 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 7 8 8 9 9 9 9 8 7 7 7 7 7 nan
nan 6 6 6 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 8 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 9 8 8 7 7 7 8 8 9 8 8 8 7 6 6 6 7 7 7 7 7 7 8 8 8 9 10 10 9 9 7 7 7 7 7 7 8 8 7 7 7 7 8 8 8 7 6 6 9 11 12 12 13 14 13 12 12 11 11 11 11 10 9 9 8 8 9 9 9 10 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 13 13 12 12 11 11 10 10 11 11 11 11 11 11 10 10 9 9 9 8 8 8 8 7 7 8 8 9 9 10 9 8 7 7 8 8 nan
nan 7 6 6 6 7 6 6 6 7 7 7 7 7 7 8 8 9 9 10 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 9 9 8 7 7 7 7 7 8 8 9 8 8 7 7 7 7 8 7 7 8 8 8 8 8 8 9 9 9 9 8 7 7 7 7 8 8 8 8 7 7 7 7 7 8 7 6 6 6 8 10 11 13 14 14 13 12 11 11 11 11 10 9 9 8 8 8 8 9 9 9 9 10 10 9 9 9 8 8 8 8 8 8 7 7 8 8 8 9 9 8 8 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 9 9 8 8 8 9 10 11 12 12 12 11 11 11 11 10 10 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 nan
nan 7 6 6 6 7 7 7 7 7 7 7 7 7 8 10 10 10 10 10 10 10 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 8 9 9 8 8 7 7 7 7 7 8 8 8 8 8 7 7 7 8 9 8 8 7 7 7 7 7 7 8 8 8 8 8 7 7 8 8 7 6 5 6 7 9 10 12 13 13 12 12 12 12 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 6 6 6 7 8 9 10 11 12 12 12 12 12 12 11 11 10 10 9 9 8 8 8 8 9 9 9 8 8 8 8 nan
nan 8 7 7 7 7 7 7 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 11 11 10 9 9 8 8 7 7 7 8 8 8 7 7 7 7 8 7 7 7 7 8 8 8 8 7 7 6 6 6 7 8 8 8 8 8 7 6 6 7 7 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 6 5 5 6 6 8 10 12 12 12 12 12 13 13 13 13 12 12 12 12 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 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 10 11 11 10 10 10 10 9 9 8 7 7 7 7 7 7 8 9 10 11 11 12 12 12 12 12 11 10 10 9 9 9 8 9 9 9 9 8 8 8 nan
nan 8 7 7 7 7 8 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 8 8 7 7 6 6 7 7 7 7 6 7 7 8 8 8 7 7 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 7 8 8 8 8 6 6 6 6 6 7 9 10 10 10 10 12 13 14 14 15 15 15 15 15 15 15 14 14 13 13 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 12 11 11 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 10 11 12 12 12 12 12 12 12 12 12 11 10 10 9 8 7 7 7 7 8 9 10 10 11 11 12 12 11 11 10 10 10 9 9 9 9 9 9 8 8 nan
nan 8 8 7 7 7 8 10 11 11 11 10 10 9 9 9 9 10 10 11 10 10 9 8 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 8 7 7 7 8 8 8 8 7 6 7 9 12 13 15 16 17 18 18 19 19 18 18 18 17 17 16 16 15 15 14 14 14 14 15 15 15 15 15 15 15 15 15 14 13 12 11 10 9 9 9 9 9 9 8 8 8 8 9 9 10 10 11 12 12 12 13 13 13 14 14 15 15 14 14 13 12 10 9 8 7 7 7 8 8 8 9 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 nan
nan 8 8 8 7 7 8 10 11 11 10 10 10 9 9 9 9 9 10 10 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 7 7 7 7 8 7 7 7 7 6 6 6 6 7 7 7 7 7 8 8 9 9 9 8 8 8 9 10 10 9 9 9 9 9 9 9 8 6 5 5 7 9 11 13 15 17 19 20 21 21 22 22 22 21 21 20 20 19 18 18 18 17 17 17 17 17 18 18 18 18 17 17 15 14 13 11 10 9 8 8 7 7 7 7 7 7 7 8 8 9 10 11 11 11 12 12 12 12 13 14 15 16 16 16 15 15 14 13 11 9 8 8 8 8 8 8 8 8 9 9 10 11 11 11 11 10 10 10 10 9 9 nan
nan 8 8 8 8 8 9 9 10 10 10 10 10 9 8 8 8 9 10 10 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 7 7 8 7 7 6 7 7 7 7 7 8 8 9 9 9 9 8 8 8 9 10 10 10 9 9 10 10 9 9 9 8 6 6 5 6 8 10 13 16 18 20 21 22 23 24 24 24 24 23 23 22 22 21 21 20 20 19 19 19 19 19 18 18 17 16 15 14 13 11 10 9 8 7 7 7 7 7 6 6 6 7 8 8 9 10 10 10 10 10 10 10 11 12 13 14 15 16 16 16 16 15 14 12 11 10 10 10 9 8 7 6 6 7 8 10 11 12 12 12 12 12 11 11 10 nan
nan 8 8 8 8 9 9 9 9 9 9 10 10 9 8 8 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 7 7 7 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 9 9 10 10 10 9 9 9 9 8 6 4 4 5 8 11 14 17 19 20 22 23 23 24 25 25 25 24 24 23 22 22 21 20 19 19 19 18 17 16 15 15 14 13 12 11 10 9 8 8 7 7 8 7 7 7 7 7 7 8 9 9 9 9 9 8 8 8 9 10 11 12 13 15 16 16 16 15 15 14 13 12 11 10 9 8 7 6 6 6 6 7 9 11 12 13 14 14 13 13 12 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 7 7 7 7 7 7 7 8 7 7 7 7 7 8 8 8 8 7 7 8 8 8 8 8 8 8 7 7 8 8 8 8 8 9 9 9 8 7 7 8 8 9 9 8 8 9 9 10 10 9 10 10 10 9 8 6 3 1 1 4 8 12 15 16 18 20 21 22 23 24 24 24 23 22 21 20 20 19 18 18 17 17 16 15 14 13 12 11 10 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 7 7 7 7 8 8 9 11 12 13 15 16 16 15 15 14 14 13 12 11 10 9 8 8 7 7 6 6 6 7 8 10 12 14 15 15 15 nan
nan 9 9 9 9 10 10 9 9 9 9 8 8 8 8 8 9 9 8 8 7 7 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 8 7 6 6 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 9 9 8 8 8 9 9 9 9 10 10 10 10 10 9 6 1 -3 -2 3 8 12 13 15 16 17 19 20 21 22 21 20 20 19 18 18 17 17 17 16 15 14 13 12 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 7 7 8 10 11 12 14 16 17 16 16 15 14 13 12 12 11 10 10 10 9 9 8 6 4 4 4 6 8 11 13 14 15 nan
nan 9 9 9 9 9 10 10 9 9 9 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 9 10 10 10 9 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 7 7 7 6 6 6 7 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 8 3 -3 -5 -1 6 10 12 12 13 15 16 17 18 19 19 18 18 17 17 17 17 17 16 16 15 14 13 12 10 9 8 8 7 7 7 7 8 8 8 8 8 9 8 8 7 7 6 6 5 4 4 4 4 5 5 5 6 7 8 9 11 14 15 17 18 18 17 16 15 14 13 12 11 11 11 11 10 9 8 6 5 5 5 5 6 7 9 11 nan
nan 10 10 9 9 9 9 10 9 9 8 8 7 7 7 8 9 8 8 7 7 8 8 8 8 8 8 8 8 7 8 8 8 8 9 10 10 10 9 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 6 6 7 8 7 6 6 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 6 1 -3 -2 3 8 9 10 11 12 14 15 16 17 17 17 17 17 18 17 17 17 17 16 15 14 13 12 11 9 9 8 7 6 6 6 7 7 7 8 8 8 8 8 7 7 6 5 4 4 3 3 3 4 4 4 4 4 5 7 9 11 13 15 16 17 17 17 17 16 15 14 13 12 11 11 10 10 10 9 9 7 6 4 3 3 3 5 nan
nan 10 10 10 9 8 9 9 9 9 8 7 7 7 7 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 8 7 7 7 7 7 8 8 8 8 8 8 8 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 5 6 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 5 -0 -3 -0 3 5 7 8 10 11 12 14 15 15 16 17 17 18 18 18 18 17 17 16 15 14 13 12 11 10 9 8 7 6 6 6 7 7 7 8 8 8 8 7 7 6 6 5 5 4 4 4 4 4 4 3 3 3 4 5 6 8 10 12 14 16 17 18 18 18 17 15 14 13 12 11 11 11 11 10 9 8 5 3 2 1 1 nan
nan 9 10 10 9 8 9 9 9 9 8 8 7 8 8 9 10 9 8 8 8 7 7 8 8 8 8 8 8 8 7 7 6 7 8 8 9 9 9 9 8 7 7 7 7 7 7 7 8 8 8 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 8 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 10 10 10 9 9 10 9 8 3 -2 -4 -3 -1 2 4 5 6 8 10 12 13 13 14 15 15 16 17 18 18 18 18 17 16 14 13 13 12 11 10 9 8 7 6 6 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 4 4 3 3 3 3 3 4 5 6 9 12 14 16 18 18 19 18 17 16 15 14 14 13 13 11 10 8 6 4 2 1 1 nan
nan 9 10 10 9 9 9 9 9 9 9 8 8 9 9 10 10 9 8 8 8 7 7 7 8 8 8 9 9 9 9 8 7 7 7 8 8 9 10 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 6 7 7 8 8 8 8 8 8 8 7 7 7 7 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 9 6 2 -3 -5 -5 -3 -1 -2 -1 0 3 7 9 10 10 11 12 13 15 16 18 18 18 18 17 16 15 15 14 13 12 11 10 8 8 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 3 2 2 2 2 3 4 7 10 12 14 16 18 18 18 18 18 18 18 17 15 14 12 10 8 6 4 4 3 nan
nan 9 9 10 10 9 9 9 9 9 9 9 9 9 9 10 10 9 8 8 8 8 7 7 7 7 8 8 9 10 10 10 9 9 8 8 8 8 9 10 10 9 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 7 7 6 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 9 9 9 9 10 10 10 9 8 8 8 6 3 -1 -2 -2 -2 -5 -7 -7 -4 1 5 6 7 8 9 10 12 13 15 16 16 16 16 16 16 16 15 14 14 13 12 11 10 8 8 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 2 3 4 6 8 10 11 13 15 16 18 19 20 20 20 18 16 14 12 11 10 8 8 7 nan
nan 9 9 10 10 9 8 8 8 8 8 8 9 9 9 10 10 9 8 8 8 8 8 7 7 8 8 9 10 10 11 11 10 10 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 7 6 5 5 5 6 6 6 6 7 7 7 7 8 9 9 8 7 7 7 8 8 7 7 7 7 8 7 7 7 8 8 8 8 9 8 7 7 7 8 9 9 9 9 10 10 9 8 8 8 9 9 8 6 4 4 4 1 -4 -9 -9 -5 1 3 5 5 6 7 8 9 11 12 13 13 14 15 15 16 16 15 15 15 14 13 12 10 9 7 6 6 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 6 6 6 6 5 5 4 4 3 3 4 5 6 6 8 10 12 15 17 18 19 19 18 17 16 14 14 14 13 12 11 nan
nan 9 9 10 10 9 8 8 8 7 7 8 8 8 9 10 10 9 8 8 8 8 8 8 8 7 8 8 9 10 10 10 10 10 9 9 8 8 7 7 8 8 9 8 8 8 8 8 8 8 7 6 5 4 4 5 5 6 6 7 8 8 8 8 8 8 8 7 7 7 8 7 7 6 6 7 8 8 8 7 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 8 7 8 8 9 10 10 10 9 8 8 7 3 -4 -9 -8 -4 -0 2 4 5 5 6 7 8 8 9 9 10 11 12 13 14 15 15 16 16 16 14 13 11 9 7 6 5 4 5 5 5 5 5 5 5 5 5 4 4 5 5 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 6 8 10 12 14 15 15 16 16 16 16 16 16 16 15 15 nan
nan 9 9 10 10 9 8 8 7 7 7 7 8 9 9 10 10 9 8 8 8 8 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 7 7 7 7 8 8 7 7 8 8 8 8 8 7 6 5 5 5 5 6 7 8 8 7 7 7 8 8 8 8 7 7 8 8 7 6 5 6 8 8 7 7 7 8 8 8 8 7 8 8 8 8 8 9 9 9 9 8 7 7 7 8 9 9 10 10 9 9 9 8 6 1 -5 -8 -8 -5 -1 2 4 5 5 6 6 6 6 6 6 7 8 10 11 12 13 15 16 17 17 15 14 12 9 7 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 6 6 6 6 6 5 4 4 4 4 4 4 5 6 7 9 10 11 12 13 13 14 14 14 15 15 16 16 nan
nan 9 9 10 10 10 10 9 8 7 7 7 8 9 10 10 9 9 9 8 8 8 8 7 8 8 8 7 7 7 7 6 6 6 6 6 7 8 7 7 7 7 7 7 7 8 8 8 8 9 8 8 7 6 6 6 6 6 7 7 7 6 6 6 7 8 9 8 7 7 8 8 7 5 5 6 6 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 6 7 7 8 8 8 9 8 8 8 8 8 7 5 2 -2 -6 -7 -6 -2 1 4 5 5 5 5 5 4 4 4 6 7 8 9 10 12 13 15 16 17 16 15 13 11 10 8 7 6 5 5 5 5 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 6 7 8 8 9 9 10 11 11 11 11 11 12 13 13 nan
nan 9 9 9 10 10 10 9 8 7 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 6 5 5 6 7 8 7 7 7 8 8 7 6 5 5 6 6 7 7 7 8 8 7 7 7 7 7 7 8 8 8 8 8 7 5 5 6 7 8 8 8 8 8 8 7 7 7 8 7 6 4 -0 -4 -6 -6 -4 0 3 5 5 4 4 3 3 4 5 5 6 6 7 8 10 11 13 15 16 16 16 15 13 12 10 8 7 6 6 5 5 5 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 3 3 4 5 6 6 6 7 7 8 8 9 9 9 9 9 8 9 8 9 nan
nan 8 9 9 10 10 9 8 8 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 6 6 6 6 7 7 7 7 8 9 9 9 9 9 8 7 7 7 8 8 8 8 8 8 7 7 6 6 5 5 6 7 7 7 7 7 7 7 7 6 6 6 7 7 7 8 8 7 7 6 6 6 7 7 8 8 7 7 6 5 5 6 7 7 8 8 8 8 7 7 7 7 7 7 8 7 5 3 -1 -4 -5 -3 -0 2 4 3 2 2 3 4 5 5 6 6 6 6 7 8 9 11 13 14 15 16 15 15 13 12 10 9 8 7 7 6 6 5 5 5 4 4 3 3 3 4 4 4 4 4 4 4 3 3 3 4 5 6 6 6 6 6 7 8 8 9 9 9 9 8 7 7 nan
nan 9 9 9 9 10 9 8 7 7 7 7 8 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 8 7 7 6 6 5 5 5 5 6 6 6 7 8 9 10 10 9 9 8 8 8 8 9 9 9 9 9 8 8 7 7 6 5 6 6 6 6 6 6 7 8 8 7 7 7 7 8 7 8 8 7 7 6 5 5 6 7 7 7 7 6 6 6 6 6 7 7 7 8 8 8 7 6 6 6 6 7 7 7 7 6 5 1 -2 -2 -1 1 4 3 -0 -2 -1 2 5 6 6 6 7 7 7 6 7 8 9 10 11 13 14 15 15 14 13 12 11 10 9 8 7 7 6 6 5 5 4 4 4 4 5 5 5 5 5 4 4 3 3 4 5 5 5 6 5 6 6 6 7 8 9 10 10 10 10 9 nan
nan 10 10 9 9 10 9 8 7 7 8 8 8 7 7 8 9 10 10 9 9 9 8 8 9 9 9 9 10 10 10 9 9 8 7 7 6 5 5 4 4 5 5 6 7 8 9 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 6 6 6 5 4 6 8 9 8 7 7 8 8 7 7 8 8 7 5 5 6 7 7 8 7 7 6 6 7 7 7 7 7 7 7 8 7 7 6 5 5 6 6 7 7 7 7 7 6 4 3 2 3 5 4 -1 -5 -6 -2 4 6 7 7 7 7 7 7 7 7 7 8 8 9 11 12 13 14 14 13 12 11 10 10 9 8 8 7 6 6 5 5 5 5 5 5 6 6 6 6 5 4 4 4 4 4 5 5 5 5 5 5 6 6 7 8 9 10 11 10 nan
nan 11 11 10 10 11 10 9 8 9 9 9 8 7 7 9 10 10 10 9 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 8 7 6 5 5 5 5 6 7 8 10 11 12 11 11 10 10 10 9 8 8 8 9 9 9 9 9 10 9 8 7 6 6 6 4 4 5 7 8 8 8 7 8 7 7 8 8 8 7 5 5 6 7 9 8 7 7 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 8 7 6 6 6 4 -1 -7 -8 -2 4 6 7 7 8 8 8 8 8 8 7 7 7 8 8 9 10 11 12 13 13 12 11 10 10 9 8 8 7 6 6 6 5 5 5 6 6 6 6 6 6 5 5 4 3 4 4 4 4 4 5 5 5 5 5 6 7 8 9 10 nan
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nan 10 10 10 9 9 10 10 11 11 11 11 10 9 9 9 9 9 9 9 8 7 6 6 6 7 7 8 8 8 9 9 10 10 11 12 11 9 9 8 8 8 8 7 7 7 9 10 10 11 11 11 10 9 7 6 6 7 8 8 8 9 9 9 9 9 8 7 6 5 6 6 6 6 6 7 7 7 7 7 7 7 8 8 7 7 7 7 8 9 9 9 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 7 8 8 4 -3 -9 -8 0 5 7 7 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 9 9 10 11 11 11 11 10 9 9 9 8 8 8 7 7 6 6 6 6 6 6 6 6 5 5 4 4 4 3 3 3 3 3 3 3 4 4 4 4 5 5 6 nan
nan 11 10 9 8 8 9 10 11 11 11 11 10 9 9 8 8 9 9 9 8 7 7 6 6 6 6 6 7 7 8 9 10 10 11 11 10 9 9 9 9 9 8 7 6 6 7 8 9 10 11 10 9 8 7 7 7 8 9 9 9 8 8 8 9 9 8 7 5 5 6 7 8 7 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 10 11 11 10 9 8 7 7 6 6 5 5 4 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 6 7 5 1 -5 -8 -4 4 8 7 6 6 7 8 8 8 7 7 7 7 7 7 7 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 7 7 7 7 7 6 6 6 5 5 4 3 3 3 3 2 2 3 3 3 3 3 3 4 4 5 nan
nan 11 11 10 9 8 9 10 10 11 11 11 10 9 9 8 8 9 9 10 9 8 8 7 7 6 6 6 6 7 8 9 9 9 10 10 9 10 10 9 9 8 8 7 6 6 7 8 9 10 10 10 9 8 8 8 9 9 9 9 9 8 8 8 9 10 9 6 5 4 6 8 9 8 6 6 7 7 7 7 8 8 8 7 7 7 6 6 7 9 11 11 10 8 7 7 6 6 5 5 4 4 5 5 6 6 6 6 6 6 6 6 5 6 5 5 5 6 6 3 -1 -5 -3 3 9 10 7 4 4 5 7 7 8 7 7 7 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 8 8 8 9 10 10 10 10 10 10 9 9 9 9 8 7 7 5 4 3 3 2 2 2 2 2 3 3 3 3 3 3 4 4 nan
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nan 9 9 9 8 8 8 9 9 9 10 9 9 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 8 8 8 8 8 9 9 8 8 8 8 8 8 7 7 8 8 7 7 6 8 11 12 12 11 10 9 8 8 9 10 10 10 10 10 10 8 6 6 8 9 10 10 10 9 9 9 9 8 9 9 9 8 6 6 7 8 9 7 6 6 8 8 7 7 9 9 9 9 8 8 8 9 10 10 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 6 2 -3 -5 -3 4 8 9 10 10 10 11 11 12 12 12 12 11 11 10 10 10 11 11 12 11 10 9 9 9 9 9 10 11 13 14 15 15 13 11 9 7 5 3 3 2 2 3 3 4 4 5 5 5 6 6 6 6 6 nan
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nan 8 8 8 8 8 9 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 8 8 8 9 9 9 10 10 10 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 9 9 9 10 9 9 8 7 6 6 6 5 5 6 7 8 8 9 9 9 8 8 9 9 10 9 8 7 7 8 9 10 12 12 11 10 9 9 9 9 8 8 9 9 10 11 12 13 12 11 10 10 10 10 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 12 13 14 16 17 18 17 14 12 11 11 13 16 19 20 20 18 16 15 14 14 15 15 15 15 15 15 15 15 16 16 16 17 17 17 17 16 14 12 11 10 11 13 14 14 nan
nan 7 7 7 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 9 9 9 9 9 8 8 8 8 7 7 7 7 8 8 8 8 8 9 9 8 8 8 9 9 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 7 6 7 7 7 8 8 9 9 9 9 8 8 8 9 10 10 10 9 8 7 7 8 9 10 11 11 10 10 9 10 10 10 10 10 10 10 11 11 12 13 12 12 11 11 11 11 10 9 9 9 9 8 8 8 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 8 5 3 2 3 6 8 11 12 11 10 11 14 16 15 14 12 11 10 9 8 7 8 8 10 11 13 13 13 13 12 11 10 10 11 13 14 14 nan
nan 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 8 8 8 9 9 10 10 10 10 10 10 9 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 9 9 9 9 8 8 9 9 10 10 11 11 11 11 10 8 8 9 10 11 11 10 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 11 12 11 11 11 12 12 12 12 11 11 11 11 11 10 10 10 9 9 8 8 9 9 10 10 11 10 10 9 9 8 8 8 8 8 9 9 9 8 6 3 3 3 3 2 3 3 5 9 11 11 10 10 10 9 8 6 5 4 4 5 7 9 10 10 10 11 12 13 13 14 14 14 13 nan
nan 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 11 12 11 10 9 8 9 9 10 10 10 9 9 9 10 10 11 12 12 12 12 12 11 10 10 10 10 11 10 10 10 11 11 12 11 10 10 9 9 9 9 9 8 8 9 10 10 11 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 9 9 8 8 7 7 8 8 9 10 12 14 16 16 14 12 11 9 7 6 7 7 7 7 8 9 10 10 10 9 8 6 4 3 4 5 7 9 9 10 10 11 12 13 13 13 13 11 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 6 6 6 6 6 6 6 6 7 8 8 8 8 8 8 9 9 9 9 8 9 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 12 12 12 9 6 5 6 9 11 10 9 8 8 9 10 10 10 10 10 11 11 11 11 10 10 10 10 10 9 9 10 11 12 12 12 11 10 10 9 9 9 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 10 12 14 16 19 21 22 21 20 20 19 19 18 16 15 15 16 16 16 14 12 10 8 6 5 5 7 9 11 11 11 10 10 10 10 11 12 11 9 nan
nan 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 11 11 12 11 10 9 6 1 -2 -2 2 6 7 6 4 4 5 7 8 9 9 9 9 9 9 9 8 8 9 10 10 9 9 9 9 10 11 11 11 11 10 10 9 9 9 9 9 9 10 10 9 9 9 10 10 10 9 9 9 8 8 7 7 6 7 7 8 8 8 7 7 7 6 6 7 8 8 9 9 9 9 9 10 10 10 10 10 10 11 12 14 17 20 22 22 23 23 24 23 22 23 24 24 24 24 23 19 16 13 11 9 9 10 11 13 13 12 11 10 9 10 10 11 10 7 nan
nan 10 10 11 11 11 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 10 10 11 12 12 10 6 2 -1 -3 -6 -6 -4 1 3 1 -0 -1 -0 2 4 6 8 9 9 9 8 8 7 6 7 9 10 10 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 7 7 6 6 6 7 7 7 7 7 7 7 8 9 9 10 10 10 10 10 10 10 11 10 10 11 11 10 10 10 11 12 13 15 16 17 17 17 17 18 19 21 23 24 26 26 25 22 19 18 16 14 11 9 10 11 13 13 12 12 12 12 11 9 7 nan
nan 10 11 12 12 12 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 7 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 8 2 -4 -8 -7 -5 -3 1 4 6 5 3 0 -1 -0 2 4 6 7 7 7 7 6 6 6 7 9 10 11 11 10 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 8 8 8 8 7 7 6 6 7 7 8 8 8 8 8 9 9 10 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 11 11 11 12 14 15 17 19 20 22 22 21 20 19 17 12 9 9 11 15 16 17 16 15 14 12 10 9 nan
nan 10 12 13 14 13 12 10 9 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 7 6 5 5 6 8 10 11 12 12 11 10 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 8 2 -5 -9 -8 -3 2 6 9 11 11 10 8 6 5 5 5 5 5 4 2 2 2 3 4 6 8 10 11 10 9 8 8 8 9 10 10 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 8 7 6 6 6 5 5 5 6 7 8 8 9 10 9 10 10 10 10 11 11 11 10 10 10 10 10 10 11 12 12 12 12 12 11 11 10 10 10 10 10 10 11 11 10 10 9 9 10 11 11 12 13 15 16 16 17 17 17 15 13 12 14 16 18 18 18 17 16 14 12 11 nan
nan 12 13 14 14 13 12 11 10 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 7 6 5 4 4 5 6 8 11 13 13 12 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 6 0 -3 -4 0 6 10 11 12 13 13 12 11 10 9 9 8 6 5 2 -1 -1 -1 1 3 5 8 8 8 7 6 6 6 7 8 9 10 10 10 11 11 10 10 9 9 8 9 9 9 8 7 7 6 6 6 6 5 5 4 5 6 7 8 8 9 9 10 10 10 10 10 11 11 10 10 9 9 9 9 9 10 11 12 12 13 13 12 12 11 10 9 10 10 10 11 11 11 11 10 9 9 9 10 10 10 11 12 12 13 13 13 14 14 14 13 13 13 13 13 13 14 14 14 13 12 nan
nan 12 13 14 14 13 12 11 11 10 9 8 8 7 7 6 6 7 7 8 8 8 8 7 7 6 5 5 5 5 5 5 8 11 13 13 12 10 9 9 10 10 10 10 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 9 7 5 5 6 11 14 15 16 16 16 15 12 11 10 9 9 9 8 7 5 4 3 3 2 2 3 3 3 3 4 5 6 6 6 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 7 6 5 4 4 5 6 7 7 8 9 10 10 9 8 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 11 11 12 13 14 14 14 12 10 9 9 9 9 10 11 11 11 10 9 9 9 10 10 10 11 12 12 12 11 11 11 11 12 12 11 9 8 7 7 8 10 11 11 12 nan
nan 12 13 13 13 13 12 12 11 10 10 9 8 7 7 6 6 6 7 8 8 8 8 7 6 5 5 5 6 6 5 4 5 8 12 14 14 12 10 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 9 9 10 10 10 9 9 10 11 13 16 18 18 18 18 17 14 12 11 10 10 10 10 10 10 10 10 10 9 7 6 4 1 0 1 2 4 6 7 7 6 6 6 6 7 7 7 8 8 9 9 9 8 8 7 7 6 6 5 5 6 7 9 11 12 13 13 12 11 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 8 9 9 9 10 12 13 14 16 16 12 10 9 8 8 8 9 10 10 11 10 9 9 10 10 11 12 12 11 11 11 10 10 9 10 10 11 11 10 8 6 5 6 7 8 9 10 nan
nan 12 12 13 12 12 11 11 11 11 10 9 8 7 7 7 6 6 7 7 7 7 7 7 6 6 6 6 6 6 5 4 3 6 11 15 16 14 11 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 8 8 9 9 10 9 9 9 10 11 12 14 15 14 13 12 11 11 12 13 13 13 12 12 11 12 12 12 12 11 10 9 7 5 4 3 2 1 1 2 4 4 5 5 6 6 5 6 7 8 9 9 8 8 7 7 8 9 10 10 10 10 10 12 14 14 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 9 11 12 13 15 14 11 9 8 7 7 8 8 9 9 10 9 10 10 10 11 12 12 12 11 10 10 9 9 8 9 10 11 11 10 9 8 7 7 7 8 8 9 nan
nan 12 12 11 11 10 10 11 12 12 11 10 9 8 8 7 7 7 7 7 7 6 6 7 7 7 6 6 6 6 5 4 4 5 9 14 17 16 12 10 9 9 8 8 9 9 9 9 9 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 10 10 9 5 3 3 5 8 12 15 15 14 14 14 13 13 12 11 11 10 9 9 9 8 8 6 4 1 -1 -1 0 2 3 5 6 6 6 6 6 7 8 8 8 8 8 9 10 11 12 12 12 11 12 12 12 12 11 10 11 12 13 12 11 10 10 10 9 9 9 9 8 8 7 7 6 7 7 7 8 9 9 10 10 10 9 8 8 7 6 7 8 8 9 10 10 10 11 11 11 11 12 12 11 11 10 10 9 8 7 7 8 9 9 9 9 9 8 8 8 8 8 9 nan
nan 11 11 10 10 9 10 11 12 13 13 12 11 10 9 8 8 8 8 7 7 6 6 6 7 6 6 6 6 6 6 5 4 4 7 12 16 17 14 11 10 9 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 8 4 -1 -3 -0 4 9 13 14 14 15 15 16 15 14 12 11 10 9 9 9 10 10 10 9 8 7 5 4 3 2 2 2 4 5 6 6 6 5 5 6 7 7 8 9 9 9 9 8 9 9 10 10 9 8 8 8 8 10 12 13 12 11 10 9 9 9 9 9 9 9 9 8 7 7 7 7 8 9 8 8 8 7 6 6 7 7 8 8 8 8 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 9 9 8 8 8 8 7 7 7 7 7 8 8 9 8 nan
nan 11 10 9 9 9 10 11 12 13 14 14 13 11 10 9 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 5 4 5 10 14 16 15 13 11 10 9 9 10 10 10 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 9 9 7 3 1 3 7 12 15 15 13 13 14 15 15 15 14 13 12 11 11 12 12 13 14 15 15 14 13 12 11 9 6 4 2 2 3 4 6 6 5 4 4 5 6 7 7 6 6 6 7 8 9 10 9 8 7 7 6 7 8 10 11 12 11 11 11 11 10 10 10 10 11 11 10 10 9 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 9 10 11 11 12 12 11 10 10 9 10 10 10 10 10 11 12 12 12 11 11 9 7 6 6 6 7 7 7 8 8 nan
nan 10 10 10 10 10 10 10 11 12 13 14 13 12 11 9 8 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 5 4 4 7 11 15 15 13 12 11 10 9 9 10 10 9 9 9 9 9 9 10 10 10 9 8 8 8 8 8 8 9 8 7 7 10 14 17 19 18 15 12 11 11 12 13 15 16 16 15 15 16 17 18 20 21 22 21 19 17 16 15 14 12 9 6 4 2 2 3 5 6 7 6 6 7 7 7 7 7 9 11 12 12 12 10 9 9 9 9 10 10 10 10 10 11 12 12 12 11 10 9 9 10 10 10 10 10 9 8 8 8 8 9 9 8 8 8 8 9 9 9 9 11 11 12 13 13 12 11 10 9 8 9 9 9 10 10 11 13 15 16 16 15 13 10 8 7 7 7 7 6 7 8 nan
nan 10 10 11 11 10 10 9 10 10 11 12 12 11 10 9 8 7 7 8 8 9 9 9 9 8 8 7 7 7 7 7 6 5 4 5 9 13 15 14 13 11 10 9 9 9 9 9 9 10 9 8 8 9 10 10 9 8 8 8 8 8 8 8 8 9 11 14 17 18 16 14 11 10 10 10 10 11 12 14 15 16 17 18 20 21 22 23 22 22 21 20 20 20 19 19 17 14 11 7 4 3 5 7 9 10 10 9 9 9 10 11 12 13 13 12 11 10 10 11 12 14 14 13 12 11 11 11 11 11 11 10 9 8 8 7 8 8 9 9 8 8 7 8 8 9 9 8 8 7 8 9 9 9 10 11 12 13 14 14 13 12 10 9 8 8 9 9 10 10 11 12 13 16 17 17 15 13 11 10 9 8 7 7 7 9 nan
nan 9 10 11 11 10 9 8 9 9 10 10 11 11 10 9 8 8 8 9 9 10 10 11 10 9 8 7 7 7 7 7 7 5 4 4 9 15 17 16 13 10 8 8 9 9 9 9 10 10 9 8 8 9 9 9 9 8 9 9 9 9 8 8 9 9 11 12 12 11 10 9 10 10 10 10 10 10 10 10 11 13 14 15 16 17 18 18 17 18 19 22 23 24 25 25 25 24 21 18 15 12 11 11 11 12 12 11 11 10 10 11 11 10 9 8 8 9 11 13 14 15 14 14 12 12 11 10 9 9 9 9 10 9 9 8 7 7 7 8 8 8 8 8 9 9 9 10 9 9 9 9 9 9 10 11 12 13 14 14 14 13 11 9 9 9 9 10 10 10 10 11 12 13 15 16 15 14 13 11 10 10 9 9 9 9 nan
nan 9 10 10 10 9 9 8 8 8 9 10 11 12 12 11 10 10 10 10 10 11 12 12 11 10 8 7 7 8 8 8 7 6 5 6 11 17 18 16 12 8 8 9 9 9 10 10 11 10 9 9 9 9 10 10 9 9 9 9 9 9 9 8 8 9 10 9 8 7 7 8 9 9 9 9 9 9 9 9 9 10 11 12 13 13 13 13 14 15 17 19 22 23 24 25 26 27 27 26 25 22 18 15 13 12 11 11 10 10 9 9 8 8 7 8 9 10 12 13 14 14 14 13 13 12 11 10 8 8 9 11 11 11 10 10 9 8 8 9 10 10 10 10 10 10 11 12 12 11 11 10 10 10 10 11 12 13 13 14 14 12 11 10 9 10 10 10 10 10 10 10 11 13 15 16 15 14 13 13 12 12 12 11 10 9 nan
nan 9 9 9 9 9 9 9 9 9 10 11 12 13 13 13 12 12 11 11 11 13 14 13 12 11 9 8 8 8 8 8 7 7 6 9 14 17 17 14 10 8 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 8 8 7 8 8 7 6 6 7 8 8 9 9 9 10 10 11 12 12 12 13 13 14 15 16 18 19 20 20 20 21 23 24 23 20 17 14 12 10 9 9 8 9 9 9 10 10 10 10 11 12 13 14 14 14 14 14 14 14 14 13 12 12 12 13 13 12 12 12 11 11 12 13 14 14 13 13 12 13 14 15 15 14 12 11 11 10 10 11 12 12 13 13 12 11 10 10 9 10 11 11 11 10 10 10 12 13 16 17 16 15 14 14 14 14 13 11 9 8 nan
nan 9 10 10 10 10 10 10 10 10 12 13 14 14 15 15 15 14 13 13 12 13 14 14 14 12 9 8 8 8 8 8 7 7 8 11 15 16 15 13 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 8 7 7 8 8 8 8 8 8 7 5 4 5 5 7 8 8 8 9 10 11 12 12 12 13 13 14 15 15 16 17 17 17 16 15 15 15 15 14 12 11 10 10 9 9 8 8 9 9 10 11 11 11 10 10 10 11 12 13 14 15 15 16 16 17 17 17 16 16 15 15 15 15 15 15 15 15 15 16 16 16 16 16 15 16 17 17 16 14 12 12 11 11 11 12 12 12 12 10 10 9 9 10 10 11 11 11 10 10 10 11 13 15 17 17 17 15 15 14 13 12 11 10 11 nan
nan 11 11 11 11 11 11 11 12 13 14 15 15 15 15 15 16 16 15 14 13 13 13 13 13 11 9 8 7 7 7 7 8 8 10 13 15 14 13 11 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 10 8 8 7 7 8 8 8 9 9 9 8 7 6 5 6 6 7 8 8 8 9 11 12 12 12 12 13 13 14 15 15 16 16 16 15 14 13 12 10 9 8 7 7 8 8 8 8 7 8 9 9 9 9 8 7 6 5 6 7 9 12 14 16 17 18 18 18 18 18 18 18 17 17 17 17 17 17 16 15 15 15 15 16 16 16 16 17 18 18 16 14 12 12 12 12 12 11 11 11 10 9 9 9 9 10 11 11 11 10 10 9 10 10 12 15 17 19 19 18 17 16 15 14 15 16 18 nan
nan 13 13 13 12 12 12 13 14 15 15 14 14 14 14 14 15 15 16 15 14 12 11 11 10 9 8 7 7 7 7 7 8 9 11 13 13 11 10 10 10 9 9 9 9 9 8 8 8 9 11 11 11 12 12 12 12 11 9 8 7 8 8 8 9 9 9 9 9 9 8 7 7 8 9 9 8 8 8 9 10 11 12 12 12 12 13 13 13 14 14 15 15 15 14 14 14 13 11 9 8 7 6 6 6 6 6 5 6 6 6 5 4 3 3 3 4 4 6 8 11 14 15 16 16 17 17 16 16 16 17 17 17 17 17 16 16 15 14 14 14 14 14 15 15 16 17 17 17 15 14 13 12 12 12 12 12 12 11 10 10 10 9 10 11 11 11 11 10 10 10 10 11 13 15 17 20 22 22 22 22 22 22 22 23 24 nan
nan 13 13 13 13 13 13 13 12 12 12 12 12 12 11 11 12 13 14 14 13 11 9 8 8 7 7 7 7 6 6 7 8 10 12 12 11 9 9 8 7 7 7 8 9 9 8 8 9 10 11 12 12 13 13 12 10 9 8 7 8 8 8 8 9 9 9 10 9 8 8 7 8 10 11 10 9 8 8 9 11 12 13 13 12 12 12 12 12 12 12 13 14 14 15 15 17 18 17 15 13 11 9 7 6 5 5 5 5 4 4 4 4 5 6 7 8 9 11 12 14 15 16 15 14 14 14 14 14 14 15 15 15 15 14 14 14 14 13 13 13 13 13 14 14 15 15 15 15 14 13 13 12 13 13 13 13 13 13 12 12 11 10 11 11 11 11 11 11 11 12 13 13 14 15 16 19 23 25 26 27 28 27 27 26 25 nan
nan 12 12 12 12 12 12 10 9 8 8 9 9 10 10 10 10 10 11 12 11 9 8 7 7 8 8 7 7 6 7 8 9 10 12 12 10 9 7 6 5 5 6 7 8 9 10 10 11 11 12 12 13 13 11 9 8 6 5 5 6 7 7 8 8 9 9 9 9 8 8 8 9 11 11 10 9 8 9 11 12 13 13 12 12 11 10 10 10 11 11 13 13 14 15 16 18 20 20 20 18 16 14 12 11 10 9 8 7 7 7 8 9 11 12 14 15 16 17 18 19 18 17 16 15 15 15 14 13 13 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 14 13 13 12 12 12 13 13 14 13 13 13 13 13 13 12 11 11 11 12 12 12 13 13 14 14 14 14 13 13 14 17 20 23 26 27 27 26 24 23 20 nan
nan 10 10 10 11 10 9 8 7 6 7 7 8 8 9 9 9 9 9 10 9 8 7 6 7 8 8 8 7 7 7 8 9 11 12 12 10 8 6 4 5 5 6 7 7 9 10 11 11 12 12 12 12 11 10 8 6 4 3 4 5 6 7 8 9 10 10 9 9 8 8 8 9 10 9 9 9 10 11 12 13 14 13 12 11 10 10 9 9 10 11 12 13 13 13 14 15 17 18 20 21 20 19 17 16 15 15 14 13 13 13 13 14 15 16 17 18 19 19 18 18 17 17 17 18 18 16 14 12 11 11 10 11 11 12 13 13 13 12 13 13 13 13 13 13 12 12 10 9 10 11 13 14 15 14 14 13 13 13 12 12 12 12 12 13 13 14 14 14 15 15 14 13 12 11 12 13 15 17 19 20 19 18 17 16 14 nan
nan 9 9 9 9 9 8 8 7 7 7 7 7 8 8 9 9 9 9 9 8 8 7 7 8 8 8 8 8 7 7 8 9 11 11 11 9 8 5 4 5 6 6 7 8 10 11 12 12 12 12 12 11 11 10 9 7 5 6 8 9 10 10 10 10 10 10 9 8 8 8 8 8 8 9 10 10 11 13 14 14 14 14 12 11 10 10 9 10 10 11 12 12 12 11 11 11 13 15 17 19 20 20 21 20 20 20 19 19 18 18 18 18 18 19 19 19 18 17 15 13 12 12 15 17 17 16 13 12 11 10 10 10 12 12 12 12 12 12 12 12 13 13 13 13 12 10 7 6 7 10 13 15 16 15 14 14 13 13 13 13 13 13 13 13 14 13 13 13 13 13 12 11 10 10 10 11 11 12 11 10 10 10 9 9 8 nan
nan 9 9 9 8 8 8 8 9 9 8 8 8 8 8 8 9 9 9 9 10 10 9 8 7 7 7 8 8 8 7 8 8 9 9 9 8 7 5 5 6 7 7 8 10 11 12 12 13 12 12 11 12 13 12 11 9 9 13 15 16 15 13 11 10 9 8 7 6 6 6 7 8 8 9 11 12 13 14 15 15 15 14 13 12 11 10 9 10 10 11 11 11 10 9 9 10 11 12 14 15 17 18 19 20 21 21 21 21 21 21 21 21 21 20 19 17 15 12 10 8 6 8 11 14 15 14 13 12 11 11 11 12 12 12 12 12 11 12 12 12 13 13 13 13 11 8 4 4 5 8 12 15 16 16 14 13 13 13 13 13 13 13 13 13 12 12 11 11 11 10 10 10 10 10 10 10 10 8 7 5 5 5 5 5 4 nan
nan 9 9 9 8 8 8 9 9 9 8 7 7 7 7 8 8 8 9 10 11 12 11 9 7 6 6 7 8 8 8 8 8 8 8 7 7 6 6 7 8 8 8 9 10 11 11 12 12 12 11 12 13 14 13 11 11 13 16 18 18 17 14 12 9 8 6 5 4 4 5 7 9 10 11 12 13 14 15 15 15 15 14 13 12 11 10 10 10 10 11 11 10 9 8 9 10 11 11 12 13 13 14 15 16 17 18 18 19 20 21 21 21 20 18 16 13 10 8 6 5 5 7 10 13 14 14 12 12 12 12 13 13 12 12 11 11 11 11 11 12 12 13 13 12 11 7 4 3 4 6 11 14 16 15 14 13 12 12 13 13 13 13 12 12 12 11 11 10 9 8 8 9 10 10 10 10 10 8 7 6 6 6 5 4 4 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
535 649 847 1145 1386 1488 1556 1601 1688 1811 1896 1947 1971 1991 2045 2114 2181 2267 2358 2422 2489 2559 2610 2661 2739 2801 2740 2601 2555 2542 2470 2363 2291 2244 2246 2291 2339 2357 2286 2060 1765 1585 1504 1453 1371 1250 1080 865 648 487 393 334 293 263 238 216 198 179 156 133 117 113 117 121 120 111 95 81 84 101 131 178 239 320 428 596 876 1128 1353 1484 1456 1369 1492 1906 2146 2248 2183 2099 2039 1913 1802 1841 1997 2289 2578 2858 3313 3686 3824 3764 3622 3478 3291 3140 3018 2900 2795 2698 2602 2516 2488 2509 2506 2551 2587 2631 2692 2758 2834 2867 2903 2952 3017 3063 3091 3106 3087 3173 3312 3385 3312 3207 3131 3111 3141 3156 3124 3028 2928 2859 2826 2824 2842 2909 2992 3054 3006 2883 2679 2407 2101 1788 1544 1402 1313 1270 1272 1333 1499 1798 2027 2165 2194 2193 2208 2232 2218 2109 1902 1790 1712 1723 1827 1958 2044 2163 2368 2581 2759 2878 2934 2930 2886 2817 2760 2670 2560
287 440 652 911 1174 1415 1607 1691 1735 1862 2010 2123 2182 2199 2192 2204 2224 2280 2313 2372 2445 2505 2558 2627 2728 2769 2656 2529 2526 2557 2504 2408 2360 2384 2402 2350 2202 1984 1729 1470 1261 1124 1036 949 860 760 640 506 383 294 242 207 179 155 143 140 133 117 96 83 74 72 75 82 87 84 72 56 44 44 51 61 89 139 203 300 482 730 986 1226 1351 1295 1237 1573 1963 2146 2145 2049 2027 1932 1757 1826 2007 2161 2340 2636 3096 3523 3798 3936 4027 3967 3759 3592 3424 3276 3151 3023 2860 2664 2567 2522 2516 2503 2517 2572 2625 2663 2673 2782 2859 2914 2958 2990 3006 3020 3078 3163 3189 3169 3171 3221 3267 3317 3387 3332 3319 3263 3187 3123 3070 3031 3015 3024 3056 3078 3091 3078 3023 2913 2640 2317 2000 1748 1540 1377 1282 1259 1344 1572 1842 2090 2229 2277 2283 2290 2309 2195 2029 1944 1915 1899 1886 1949 2023 2117 2222 2350 2540 2743 2879 2934 2923 2803 2779 2729 2654
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206 250 338 489 706 963 1159 1286 1434 1621 1829 2050 2204 2182 2328 2342 2348 2335 2332 2367 2421 2453 2458 2477 2578 2647 2618 2577 2562 2541 2464 2328 2173 2005 1760 1442 1115 834 632 507 457 427 395 365 329 291 252 211 168 129 95 70 57 49 45 46 48 50 49 41 29 19 12 10 13 15 12 3 0 0 1 1 1 3 8 13 16 33 73 178 411 731 1012 1225 2009 2429 2538 2507 2447 2422 2408 2368 2579 2534 2538 2625 2811 3098 3413 3899 4112 4227 4363 4447 4419 4337 4262 4094 3951 3803 3642 3491 3365 3279 3224 3194 3186 3194 3209 3192 3180 3190 3201 3237 3286 3288 3246 3223 3264 3332 3347 3279 3225 3366 3385 3480 3545 3535 3516 3509 3469 3468 3391 3291 3228 3189 3165 3190 3168 3152 3137 3082 2961 2767 2541 2329 2074 1776 1583 1590 1718 1914 2138 2296 2373 2400 2407 2410 2407 2351 2204 2214 2160 2098 2051 2075 2123 2141 2181 2281 2482 2666 2806 2847 2813 2763 2723
258 277 339 466 627 787 924 1043 1221 1411 1614 1826 1978 2036 2153 2231 2281 2300 2321 2357 2393 2402 2375 2366 2446 2550 2581 2536 2450 2326 2116 1850 1599 1357 1096 847 637 477 377 315 292 278 254 232 211 189 166 143 115 90 64 42 25 13 11 16 17 28 27 20 12 5 2 1 1 1 2 1 0 0 0 0 0 0 0 1 0 1 7 26 82 193 463 646 1327 1828 2103 2235 2243 2339 2467 2542 2701 2757 2776 2781 2798 2928 3097 3433 3793 4090 4353 4505 4507 4449 4342 4277 4216 4159 4087 3971 3825 3720 3656 3621 3570 3527 3494 3428 3385 3402 3445 3550 3522 3505 3482 3438 3431 3471 3480 3472 3522 3616 3699 3663 3536 3492 3485 3502 3517 3547 3536 3481 3429 3399 3381 3360 3327 3293 3246 3214 3175 3088 2976 2845 2664 2424 2156 1974 1928 1982 2148 2316 2407 2453 2470 2467 2470 2469 2353 2289 2288 2231 2145 2099 2103 2137 2152 2171 2284 2445 2613 2746 2810 2791 2731
344 366 424 528 631 706 826 908 1050 1260 1477 1653 1807 1955 2100 2202 2265 2298 2325 2348 2355 2347 2318 2307 2345 2349 2271 2108 1889 1648 1392 1154 946 759 587 456 368 308 263 212 188 174 155 134 118 109 102 94 74 56 37 21 9 2 0 0 1 13 10 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 138 241 540 940 1461 2017 2118 1947 1958 2099 2296 2504 2665 2756 2791 2898 3046 3210 3419 3661 3884 4051 4135 4132 4049 4012 3982 3964 3922 3872 3801 3726 3684 3663 3613 3560 3511 3446 3412 3421 3471 3535 3540 3577 3615 3628 3654 3702 3726 3751 3752 3712 3629 3524 3449 3508 3530 3549 3542 3520 3511 3484 3462 3457 3478 3482 3471 3448 3388 3346 3301 3259 3200 3137 3038 2842 2611 2413 2262 2220 2306 2372 2425 2482 2517 2505 2502 2504 2447 2377 2381 2352 2261 2184 2145 2175 2192 2185 2207 2284 2414 2578 2720 2744 2740
448 463 507 583 673 683 806 855 957 1142 1351 1538 1722 1913 2054 2158 2235 2292 2335 2352 2319 2246 2183 2129 2047 1887 1665 1410 1149 916 735 615 510 409 315 250 219 199 182 162 130 104 84 68 55 52 55 56 44 29 16 7 2 0 0 0 0 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 30 52 116 253 565 1217 1505 1427 1508 1651 1881 2212 2480 2655 2776 2921 3002 3042 3134 3250 3351 3470 3567 3572 3527 3476 3419 3375 3357 3347 3343 3317 3310 3315 3303 3287 3282 3272 3273 3288 3326 3342 3390 3487 3594 3655 3720 3805 3845 3866 3831 3767 3732 3726 3641 3583 3534 3471 3387 3290 3202 3147 3106 3038 3023 3064 3072 3071 3154 3264 3236 3219 3175 3131 3095 3031 2945 2786 2588 2502 2464 2459 2476 2503 2549 2548 2543 2548 2558 2508 2452 2436 2412 2354 2236 2227 2238 2239 2241 2243 2298 2400 2509 2583 2666
532 547 618 720 706 708 803 880 980 1124 1310 1517 1714 1876 2007 2126 2269 2384 2412 2314 2088 1867 1737 1615 1445 1238 1021 813 635 505 425 373 323 278 240 203 170 157 121 92 78 57 39 28 19 15 20 26 20 9 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 1 7 17 66 274 456 850 1378 1486 1679 2117 2326 2449 2600 2744 2834 2884 2907 2928 2961 2996 2998 2995 2946 2879 2812 2765 2772 2789 2796 2792 2809 2844 2882 2914 2943 2972 3012 3059 3130 3182 3233 3319 3441 3414 3541 3653 3738 3817 3888 3889 3766 3698 3541 3360 3186 3043 2925 2801 2706 2632 2508 2352 2275 2263 2282 2392 2584 2714 2764 2792 2770 2748 2762 2769 2800 2739 2705 2698 2667 2619 2574 2555 2584 2594 2582 2561 2565 2566 2524 2527 2490 2482 2385 2303 2275 2293 2339 2302 2308 2326 2343 2380 2476
618 640 743 866 783 788 870 975 1078 1211 1392 1579 1747 1877 2018 2149 2259 2265 2107 1812 1470 1236 1104 979 835 699 581 471 383 324 287 251 213 180 156 139 127 122 82 40 29 23 15 8 3 0 3 6 6 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 1 16 68 160 280 591 1054 1414 1625 1827 2026 2213 2368 2458 2470 2489 2539 2561 2527 2514 2483 2431 2378 2337 2331 2323 2342 2371 2409 2454 2502 2558 2630 2659 2713 2770 2840 2922 3011 3100 3210 3202 3278 3306 3316 3352 3359 3231 3108 2985 2857 2716 2543 2376 2245 2150 2092 1961 1905 1842 1825 1871 1944 2075 2030 2037 2202 2318 2310 2191 2070 2123 2132 2276 2459 2625 2694 2628 2590 2590 2615 2641 2637 2627 2630 2606 2564 2600 2556 2531 2487 2414 2328 2338 2390 2384 2386 2361 2311 2271 2294
735 765 870 979 965 958 1019 1131 1256 1390 1541 1696 1861 1945 2038 2045 1932 1710 1409 1085 828 707 632 556 483 415 351 287 239 198 168 143 117 94 74 55 45 42 29 14 8 6 3 1 0 0 0 0 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 3 0 29 126 321 608 913 1105 1301 1472 1587 1665 1769 1891 1996 2068 2108 2147 2167 2156 2118 2046 2085 2048 2062 2111 2159 2181 2198 2278 2382 2455 2497 2512 2536 2613 2720 2787 2736 2712 2741 2697 2611 2566 2461 2263 2102 1999 1947 1878 1780 1653 1555 1564 1588 1551 1511 1518 1570 1633 1754 1908 1858 1901 2029 2175 2220 2098 1904 1867 1898 2033 2207 2337 2413 2452 2492 2495 2523 2563 2597 2632 2668 2680 2627 2645 2617 2573 2555 2548 2431 2417 2413 2427 2440 2423 2369 2286 2231
878 942 1069 1173 1192 1180 1212 1311 1427 1556 1722 1844 1928 1924 1829 1588 1291 1009 769 582 475 424 384 341 297 255 214 172 144 116 96 81 67 54 41 28 17 11 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 1 14 64 181 439 568 668 773 873 973 1109 1296 1485 1671 1828 1913 1935 1969 2052 1975 2015 1996 1979 2004 2062 2098 2066 2148 2233 2330 2404 2409 2363 2423 2379 2268 2225 2230 2194 2101 1977 1907 1776 1611 1452 1350 1260 1204 1189 1128 1049 995 1021 1033 1037 1107 1244 1397 1636 1623 1540 1569 1735 1973 2113 2248 2331 2204 2133 2199 2298 2292 2227 2127 2158 2182 2193 2192 2238 2370 2550 2616 2635 2660 2668 2644 2589 2639 2585 2517 2449 2430 2461 2465 2420 2361 2281
1040 1124 1255 1391 1411 1389 1429 1521 1628 1722 1780 1796 1722 1542 1269 975 728 553 438 366 317 276 245 214 181 150 124 103 86 70 58 49 41 32 23 13 6 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 14 150 202 219 276 376 514 682 858 1066 1290 1480 1593 1634 1775 1868 1944 2000 2022 2014 2007 2046 2092 2107 2135 2168 2254 2363 2391 2259 2173 2041 1997 2009 1955 1830 1700 1585 1511 1406 1267 1141 1053 983 932 906 891 867 838 816 815 822 843 1001 1164 1274 1266 1245 1265 1377 1611 1805 2078 2330 2341 2303 2381 2464 2405 2220 2046 1947 1898 1833 1726 1711 1767 2020 2265 2423 2545 2633 2681 2643 2673 2664 2611 2535 2474 2476 2458 2447 2425 2371
1189 1275 1381 1580 1626 1601 1622 1666 1699 1701 1631 1488 1272 1013 753 557 434 353 293 246 203 177 158 137 114 92 73 60 48 37 28 22 17 12 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 26 36 36 54 94 207 316 456 595 724 853 985 1107 1325 1517 1672 1789 1904 2002 2031 2058 2070 2088 2106 2108 2140 2218 2252 2071 1829 1725 1720 1718 1629 1473 1340 1291 1247 1155 1028 907 818 758 723 718 720 724 737 759 786 806 812 930 1032 1082 1082 1081 1100 1140 1276 1438 1617 1838 2062 2219 2343 2439 2415 2288 2183 2058 1853 1670 1601 1523 1574 1697 1838 1986 2142 2351 2545 2664 2704 2717 2683 2631 2570 2521 2504 2482 2446 2411
1301 1381 1389 1596 1715 1723 1705 1670 1591 1453 1250 1029 819 621 482 383 307 251 205 168 140 121 105 88 70 55 41 30 20 13 6 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 1 3 3 7 15 69 113 153 190 231 282 320 512 734 942 1140 1351 1585 1813 1918 1968 1996 2011 1990 1953 1961 1991 1981 1827 1595 1455 1365 1269 1228 1184 1130 1097 1029 917 792 687 610 566 548 546 550 560 585 642 727 768 813 902 970 990 982 970 959 960 997 1086 1177 1281 1514 1766 1957 2107 2164 2207 2240 2097 1828 1690 1676 1605 1583 1600 1621 1623 1635 1811 1995 2274 2525 2669 2693 2719 2677 2632 2589 2534 2477 2436
1389 1467 1444 1583 1677 1695 1639 1509 1310 1069 829 646 530 439 354 280 220 174 138 112 91 76 65 52 40 28 17 9 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 2 11 10 6 8 21 40 53 168 321 478 696 958 1223 1493 1647 1737 1768 1751 1717 1691 1696 1682 1541 1437 1283 1134 1030 987 1065 1075 1024 936 825 709 593 476 428 410 417 431 440 448 476 533 636 695 756 829 877 860 835 839 845 836 849 894 949 1025 1146 1296 1480 1648 1757 1836 1934 1970 1828 1758 1716 1644 1553 1485 1471 1414 1391 1432 1519 1665 1975 2364 2574 2713 2736 2720 2677 2621 2567 2537
1467 1492 1481 1492 1542 1532 1390 1144 885 683 555 455 394 332 262 198 149 114 87 68 51 41 34 25 18 14 14 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 3 19 66 160 294 464 673 931 1146 1277 1342 1358 1342 1312 1308 1348 1373 1255 1142 1014 905 891 1050 1095 1009 894 779 671 570 481 388 342 321 326 352 379 383 421 479 551 614 665 707 728 707 694 705 733 751 776 826 867 921 988 1092 1204 1325 1433 1519 1587 1679 1707 1712 1707 1700 1695 1622 1549 1497 1470 1439 1431 1543 1756 1956 2131 2304 2473 2623 2702 2714 2675 2647
1516 1483 1483 1485 1422 1248 1007 758 553 463 404 357 305 245 185 134 97 72 51 36 23 15 10 7 4 5 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 1 6 25 77 169 294 453 621 755 849 917 961 980 990 1011 1056 1121 1132 1088 1031 982 952 1006 976 864 743 639 547 468 411 352 307 269 242 248 304 333 371 417 472 527 563 579 575 552 534 541 581 627 660 708 761 823 870 947 1057 1174 1262 1331 1390 1456 1516 1573 1617 1626 1630 1636 1634 1624 1611 1582 1553 1562 1575 1649 1685 1792 2013 2273 2528 2613 2625 2639
1529 1459 1409 1283 1029 819 668 517 386 335 298 260 215 168 124 88 61 40 25 12 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 7 26 56 104 175 273 357 426 492 569 647 691 766 818 872 926 976 1026 1027 1028 940 831 727 629 544 470 396 347 309 266 214 170 163 228 286 323 360 416 470 487 480 458 436 420 416 433 474 516 555 607 676 759 869 1020 1162 1226 1277 1298 1317 1350 1396 1454 1473 1525 1578 1592 1605 1622 1620 1591 1549 1501 1524 1535 1558 1660 1747 2029 2159 2249 2347
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1349 1117 875 620 399 274 225 181 151 133 123 107 90 70 47 26 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 7 10 21 36 50 55 71 104 150 206 277 371 478 579 646 684 703 720 718 644 535 409 335 285 238 198 170 161 158 171 220 255 258 297 364 431 443 417 378 342 315 302 327 348 359 376 411 476 580 778 892 939 959 992 1046 1088 1129 1166 1197 1210 1220 1243 1289 1326 1354 1382 1413 1425 1399 1362 1329 1292 1257 1239 1230 1228 1270
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296 200 128 80 47 26 16 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 6 6 7 10 14 20 26 30 36 47 64 83 103 137 173 193 216 237 248 248 244 229 207 198 194 192 194 198 203 217 220 238 277 332 397 427 423 409 391 369 347 320 314 290 292 315 325 326 386 416 447 484 525 582 658 812 987 1071 1200 1325 1436 1526 1576 1557 1639 1564 1431 1293 1125 1060 1012 990 973 948
107 73 48 29 17 10 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 1 1 1 2 6 10 10 8 11 15 18 25 35 47 56 66 78 88 102 122 143 161 172 182 182 182 182 180 178 189 196 197 197 203 222 258 320 364 386 391 380 360 346 316 303 299 298 305 311 288 309 348 368 375 411 479 521 603 681 754 855 976 1096 1245 1310 1495 1585 1551 1463 1364 1211 1216 1231 1242 1224 1156
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