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 7 7 7 7 7 7 7 7 6 7 7 8 8 8 7 7 8 8 8 8 7 6 6 6 7 8 8 7 7 7 7 8 8 9 9 10 10 10 11 11 10 10 9 10 10 10 10 9 8 8 9 10 11 11 11 11 11 10 10 10 10 10 10 10 10 9 10 10 10 10 9 9 9 9 8 7 7 8 8 11 16 19 19 17 14 11 10 10 10 10 10 11 11 10 11 11 11 11 10 10 9 8 8 7 7 7 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 8 7 nan
nan 7 6 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 10 10 10 10 9 9 10 10 9 8 9 8 9 9 9 8 7 7 7 9 9 10 10 10 10 9 9 9 9 9 9 9 9 8 9 9 10 10 10 11 10 10 9 8 8 8 8 9 12 15 17 16 15 13 12 11 10 10 11 12 12 11 11 12 12 11 11 11 11 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 8 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 8 8 8 8 9 8 8 nan
nan 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 8 8 7 7 7 8 8 9 9 9 9 9 10 10 10 9 9 8 8 9 9 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 9 8 8 8 8 9 9 9 8 8 8 8 9 9 10 11 11 11 11 10 10 9 8 8 9 11 13 14 14 13 12 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 nan
nan 8 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 10 10 10 10 11 10 10 9 8 8 8 9 8 8 9 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 7 7 8 8 8 9 9 9 8 7 7 7 8 8 9 9 10 11 11 11 10 9 8 8 8 9 11 12 13 12 11 10 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 10 9 9 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 8 9 9 9 9 9 8 8 8 8 9 9 10 9 9 9 9 9 9 8 8 8 7 7 nan
nan 9 8 7 7 8 8 7 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 9 9 9 10 10 10 11 11 12 12 11 10 9 9 9 10 9 9 9 8 8 8 8 9 9 8 7 7 6 6 6 6 7 7 7 7 7 8 8 8 9 9 8 7 6 6 7 8 8 8 9 9 10 10 10 10 10 9 8 9 10 12 13 12 11 10 9 8 8 7 7 8 9 9 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 7 8 8 9 9 10 9 8 8 7 7 8 8 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 8 8 7 nan
nan 9 8 7 7 8 8 8 7 6 6 6 6 7 7 7 6 6 6 7 8 9 9 10 10 10 10 10 10 10 11 11 12 12 11 10 9 9 10 10 10 9 8 8 7 8 9 10 10 9 7 7 6 7 7 6 6 7 7 7 7 7 8 8 8 9 8 7 6 6 6 7 8 8 8 9 9 9 10 11 10 10 9 9 10 10 11 12 11 10 9 8 8 8 8 8 8 9 9 9 10 10 11 11 12 13 13 13 13 13 13 13 13 12 12 12 11 11 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 9 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 8 8 nan
nan 10 8 7 7 8 8 8 7 7 6 6 6 6 6 6 6 6 7 8 9 10 11 12 11 10 10 9 9 9 9 9 10 10 10 10 9 8 9 9 9 9 8 7 7 7 9 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 6 6 7 7 8 8 8 8 9 9 10 10 10 10 10 9 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 12 13 14 15 15 16 16 16 16 16 16 15 15 14 14 13 13 12 12 12 11 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 8 9 9 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 8 nan
nan 10 9 7 7 8 8 8 8 7 7 7 6 6 6 6 7 7 8 9 10 10 11 12 12 11 9 8 8 7 7 7 8 8 9 8 8 8 8 8 9 9 8 7 7 7 8 9 8 8 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 8 7 7 6 6 6 6 7 7 8 7 7 7 8 9 9 9 9 9 9 10 10 11 12 13 13 13 13 14 14 14 15 15 14 14 14 14 15 15 16 16 17 17 17 16 17 17 17 17 17 17 17 16 16 15 15 14 14 13 12 12 11 10 9 8 7 6 6 6 6 6 6 6 6 7 8 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 10 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 nan
nan 10 9 8 8 8 8 8 8 8 7 7 6 6 6 7 8 9 10 10 10 9 10 10 10 9 8 7 7 6 6 6 7 8 8 7 7 7 7 7 8 8 8 7 7 7 7 8 7 7 7 7 6 6 7 7 7 7 8 8 8 7 6 6 6 6 7 7 7 6 6 6 6 6 7 7 7 7 6 6 7 8 8 9 9 9 10 11 11 12 13 13 13 13 15 17 19 20 21 21 21 20 20 20 19 19 18 17 17 16 16 16 17 18 18 18 18 18 18 17 17 17 17 16 16 15 15 14 12 12 10 9 9 8 7 7 6 7 6 6 7 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 11 11 10 10 10 10 9 10 10 10 10 10 10 10 10 10 nan
nan 9 8 8 8 7 7 7 7 7 7 7 6 7 7 8 9 10 11 11 9 9 9 9 9 7 7 6 7 7 7 7 7 8 8 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 8 8 8 7 6 6 6 5 6 7 7 7 7 6 6 6 7 7 7 7 7 6 7 8 8 8 8 9 10 11 12 12 12 11 10 10 12 16 20 23 25 27 27 27 26 25 23 22 20 18 16 15 15 16 16 17 18 18 19 19 18 18 18 17 17 17 17 16 16 15 14 14 13 12 11 10 10 9 8 8 8 8 9 10 10 10 10 9 9 9 8 8 8 8 9 8 8 7 7 8 8 8 9 9 10 10 11 12 12 13 14 13 13 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 nan
nan 8 8 8 7 7 7 7 7 7 7 6 6 7 8 9 10 10 11 10 9 9 9 9 8 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 7 7 6 7 7 7 7 7 7 7 7 7 7 7 6 6 5 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 10 11 12 12 12 11 9 7 8 11 15 19 24 26 28 28 28 26 25 23 20 18 16 15 15 15 15 16 16 17 18 18 18 18 17 17 17 17 16 16 15 15 15 14 13 13 12 12 12 11 10 10 10 10 10 11 11 10 10 9 9 8 8 8 7 8 8 7 7 6 6 6 7 7 8 8 9 9 9 10 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 nan
nan 8 7 7 7 7 7 7 8 8 7 7 7 8 8 9 9 10 11 10 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 8 8 8 8 9 9 9 9 9 9 9 10 11 11 10 10 10 10 11 11 12 11 10 8 6 4 5 8 13 18 22 23 24 23 22 21 19 17 16 15 15 14 14 14 15 15 16 16 16 16 16 16 16 16 15 15 15 14 14 13 13 12 12 12 12 11 11 11 11 11 11 10 10 9 9 8 8 8 8 7 8 8 9 8 8 8 7 7 6 7 7 8 8 8 8 8 8 8 9 9 10 10 11 11 12 12 13 12 12 12 11 11 11 10 10 10 nan
nan 9 8 7 7 7 8 8 9 9 9 10 10 9 9 9 10 11 11 10 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 8 8 8 7 7 7 6 6 7 7 8 8 8 8 8 7 7 8 8 9 9 10 10 10 10 10 9 9 9 10 11 11 11 10 10 10 9 10 10 10 10 9 6 2 -3 -4 -1 5 11 15 16 17 16 16 15 14 14 14 13 13 13 13 13 13 14 14 14 13 13 13 14 14 14 15 14 14 14 13 13 12 12 11 11 11 11 11 11 11 10 10 9 8 8 7 7 7 7 8 8 9 9 10 10 10 9 8 8 8 8 8 8 8 8 8 7 6 6 6 7 8 9 9 10 11 11 12 12 11 11 11 11 11 11 10 nan
nan 10 10 8 8 8 9 9 10 10 10 10 10 10 9 10 11 11 10 9 8 8 8 8 9 9 9 8 8 8 8 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 9 9 9 10 10 11 11 10 9 9 9 11 11 11 11 10 10 9 9 9 9 9 9 8 7 4 -1 -7 -8 -5 1 6 10 11 10 10 11 10 10 10 11 11 12 12 12 12 12 12 11 11 10 10 11 13 14 15 15 15 14 14 13 12 12 11 11 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 10 10 10 11 10 10 10 10 10 10 10 10 9 8 8 7 7 7 7 7 7 8 9 9 10 11 11 11 12 12 12 12 11 nan
nan 10 10 9 9 10 10 10 10 11 11 10 9 9 10 10 10 9 8 7 7 7 8 8 9 9 9 8 8 7 7 7 7 7 8 8 8 7 7 6 6 6 7 7 7 8 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 8 8 9 11 12 12 11 11 11 11 10 10 9 9 9 8 8 7 4 -1 -5 -7 -5 1 6 7 7 7 7 7 6 7 8 9 10 11 11 12 12 12 11 9 8 8 10 11 13 14 15 15 15 15 14 14 13 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 9 9 10 11 10 10 10 11 12 12 12 12 11 11 11 10 9 8 8 8 8 9 10 11 11 12 13 14 14 14 14 13 nan
nan 11 10 10 10 10 11 10 10 10 10 9 9 9 10 10 9 8 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 9 8 7 7 6 6 7 7 8 8 8 8 8 8 7 7 6 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 8 9 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 8 6 1 -5 -6 -2 4 7 7 7 6 5 5 5 6 7 8 9 9 10 11 11 10 8 7 8 9 10 11 13 14 15 16 16 16 15 14 13 12 12 11 11 11 10 10 11 11 11 10 10 9 9 9 8 8 8 7 6 6 7 8 8 9 9 9 9 10 12 12 13 14 14 13 13 12 11 10 9 9 10 11 12 13 15 16 17 17 16 16 15 nan
nan 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 9 8 8 7 6 6 7 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 9 8 8 9 9 8 7 7 8 8 7 7 7 8 8 8 8 7 7 8 9 10 10 9 9 9 9 10 10 9 10 9 6 -1 -5 -4 2 7 8 8 7 7 6 6 6 6 6 6 7 7 8 8 8 7 7 7 8 8 9 10 12 13 15 16 16 16 16 15 14 14 13 12 12 12 11 11 10 10 9 9 9 9 9 8 7 6 5 4 4 5 5 6 6 7 7 7 7 9 10 11 12 13 13 13 13 13 12 12 12 12 13 13 14 15 16 17 17 17 16 16 nan
nan 11 12 11 10 9 9 9 9 9 8 8 8 8 8 9 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 6 7 7 8 8 8 8 9 9 9 8 8 7 7 8 8 8 8 9 9 9 9 9 8 8 8 8 8 7 6 6 6 7 7 7 8 9 9 8 7 6 5 5 6 6 7 7 7 7 8 9 9 9 10 10 8 3 -3 -6 -2 3 6 8 8 8 8 7 7 6 5 5 5 6 6 7 6 6 6 6 6 6 7 7 9 11 12 14 15 16 16 17 16 15 15 14 14 13 13 12 11 10 9 9 9 9 9 9 7 6 5 4 4 3 4 4 5 5 5 5 5 6 7 7 8 9 10 11 12 13 14 14 14 13 13 13 13 13 13 14 14 14 15 16 nan
nan 11 11 12 10 9 9 9 9 9 8 8 8 8 9 10 10 10 9 9 8 8 8 7 7 8 8 8 9 9 8 7 7 7 7 8 8 9 9 9 8 8 7 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 6 6 6 6 6 6 7 8 9 9 9 8 6 6 5 4 5 5 5 6 6 7 8 8 9 9 9 9 6 1 -5 -5 -3 0 3 6 6 6 6 7 7 7 6 6 7 7 7 7 7 7 6 6 5 5 6 7 8 10 11 13 14 15 16 16 16 16 15 15 14 14 13 12 11 10 10 10 11 10 9 9 7 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 7 8 10 11 11 12 12 11 10 9 9 9 9 10 11 12 12 nan
nan 10 11 11 11 10 9 9 9 9 9 8 9 9 9 10 10 9 9 8 8 8 7 7 7 7 8 8 9 10 9 8 7 7 7 8 8 9 10 10 10 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 9 8 8 8 8 8 9 8 8 7 6 6 5 6 6 7 7 7 7 6 6 6 6 7 8 8 8 7 6 6 5 5 5 6 6 6 6 6 7 8 9 9 8 8 5 0 -4 -5 -5 -2 0 1 1 2 4 6 7 8 9 9 9 9 9 8 8 7 7 6 6 6 7 7 8 9 10 11 12 14 15 15 16 16 15 15 14 14 13 13 12 12 12 12 11 10 9 9 8 8 7 7 6 4 4 4 4 4 4 4 4 3 3 2 2 3 4 5 6 7 7 8 8 8 7 7 7 7 7 8 8 8 nan
nan 9 10 11 10 9 8 8 8 8 8 9 9 8 8 9 10 9 8 8 8 8 7 7 7 7 7 8 9 10 10 9 9 8 8 8 8 9 10 11 10 10 10 9 9 9 9 8 8 8 8 8 7 6 7 7 8 8 7 7 7 7 7 7 7 6 6 5 5 6 6 7 7 7 6 6 6 6 5 6 6 7 8 8 7 7 6 5 6 6 7 7 6 6 6 7 8 8 7 7 7 5 2 -1 -3 -1 0 -1 -3 -3 -2 3 7 8 9 10 10 9 9 9 8 8 8 8 8 7 7 7 8 8 9 10 10 11 13 13 14 15 16 15 15 14 14 14 15 15 14 14 13 12 11 10 9 8 8 7 6 5 4 4 4 4 4 5 4 4 3 3 2 2 2 2 3 3 4 5 6 6 6 7 7 7 7 7 6 5 nan
nan 8 9 10 10 9 8 7 7 7 7 8 8 8 8 9 10 9 8 8 8 8 7 7 7 7 8 8 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 8 8 8 8 7 6 5 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 6 6 6 5 6 6 7 7 8 8 8 7 6 6 7 7 7 7 7 7 7 7 6 6 6 7 7 7 6 4 4 5 4 -0 -5 -6 -2 4 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 9 10 10 11 12 13 14 15 15 15 15 15 15 16 16 16 15 15 13 11 10 9 7 6 5 5 4 4 4 4 4 5 5 5 5 4 4 3 3 2 2 2 2 2 3 4 5 6 6 6 6 7 7 6 5 nan
nan 8 9 10 10 9 7 7 7 6 7 7 7 7 8 9 10 9 9 8 8 8 7 7 7 7 8 8 8 9 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 7 6 5 5 5 5 5 6 7 8 8 8 7 7 7 7 8 8 7 7 7 7 7 6 7 7 6 6 6 6 6 6 7 7 7 7 6 6 6 7 7 8 8 8 8 6 5 5 6 7 8 9 9 8 8 8 8 4 -2 -6 -5 -0 3 5 6 6 6 6 6 6 6 7 8 8 8 8 7 8 8 9 10 10 10 11 11 12 13 14 14 15 15 15 15 15 15 14 14 14 13 11 10 8 7 5 5 4 4 4 4 4 4 5 5 5 5 4 4 3 3 2 2 2 2 2 2 3 4 4 5 5 5 6 7 8 8 nan
nan 8 9 10 10 9 8 7 7 6 6 7 7 8 8 10 10 10 9 8 8 8 7 7 7 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 9 9 8 8 8 7 6 6 5 4 4 5 6 7 8 8 8 7 7 7 7 8 8 8 8 7 6 6 6 6 7 7 7 7 7 7 6 7 7 7 7 6 6 6 7 7 8 8 8 7 6 5 6 6 7 8 9 9 8 8 8 8 6 2 -2 -4 -4 -2 1 4 5 6 6 6 6 6 6 7 7 7 7 7 7 7 8 9 10 10 10 10 11 12 13 14 15 15 15 15 15 14 13 12 12 11 10 9 8 7 6 5 5 4 4 4 4 4 4 4 4 4 3 3 2 1 1 2 2 1 1 2 2 3 3 3 3 4 5 6 8 9 nan
nan 8 9 9 10 9 9 8 7 7 7 7 7 8 8 10 10 10 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 7 6 5 5 5 5 6 6 7 6 6 6 6 7 7 8 8 8 8 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 8 8 8 6 5 6 6 7 8 8 8 8 7 7 7 7 7 5 3 -0 -4 -5 -3 -1 3 5 6 6 6 7 7 7 6 6 6 6 6 6 7 7 8 9 9 10 11 11 12 13 14 15 15 16 15 14 13 12 11 11 10 10 9 8 7 7 6 5 5 4 4 4 3 3 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 3 5 6 nan
nan 8 9 9 10 10 9 8 7 7 7 7 7 8 8 9 9 10 9 9 9 9 8 8 8 8 9 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 8 7 7 8 8 9 9 9 9 8 7 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 7 8 8 7 6 6 6 6 7 7 7 7 8 8 8 7 8 8 7 7 6 6 7 7 8 8 7 6 6 6 7 7 8 8 8 8 7 6 6 6 6 6 6 4 1 -2 -4 -5 -3 1 4 6 7 7 7 7 6 6 5 5 6 6 6 6 7 7 8 8 9 10 11 12 13 14 15 16 16 16 15 14 13 11 11 10 10 9 9 8 8 6 6 5 4 4 3 2 1 1 0 0 0 1 1 1 2 2 3 3 3 2 2 2 2 2 1 2 2 3 nan
nan 8 8 9 9 10 9 8 7 7 7 7 8 8 7 8 9 10 9 8 9 9 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 6 6 7 8 8 8 7 7 8 9 9 9 9 9 9 8 7 7 8 8 8 8 7 6 5 4 4 4 5 5 5 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 6 7 6 6 7 7 6 6 6 7 7 7 7 7 8 8 7 6 6 6 6 6 6 6 4 2 -1 -4 -5 -3 1 4 6 7 6 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 9 10 11 13 14 16 16 17 16 15 14 13 12 11 10 10 9 9 9 8 7 6 6 5 4 3 2 1 0 -0 -0 0 1 1 2 3 3 4 4 4 3 3 3 3 2 2 2 2 nan
nan 8 9 9 9 10 10 8 8 8 7 8 8 8 7 8 9 10 9 8 9 9 9 8 9 9 9 10 10 9 9 8 8 8 7 7 6 6 5 5 6 6 7 7 7 8 9 10 10 10 10 9 9 8 9 9 9 9 9 8 7 6 5 4 4 4 5 5 5 6 6 6 6 7 8 7 6 7 8 8 7 8 8 8 7 7 6 6 6 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 5 6 6 5 6 5 5 3 -0 -2 -3 -1 3 6 6 4 2 1 2 4 5 6 6 6 6 6 6 5 5 5 5 6 6 8 10 11 13 15 16 17 17 16 14 13 11 10 10 10 10 9 9 8 8 7 7 6 6 5 4 2 1 0 0 1 2 2 3 4 4 5 5 5 4 4 4 4 4 4 4 nan
nan 10 10 9 9 10 10 9 9 9 9 9 8 8 7 8 10 10 9 8 8 8 9 9 9 9 9 10 10 9 9 9 9 9 8 8 7 6 5 4 4 5 6 6 7 8 9 11 11 11 11 10 10 9 9 9 9 9 9 9 9 8 7 6 6 5 5 5 5 5 4 4 5 7 8 7 6 7 7 7 7 7 8 8 7 6 5 6 7 8 8 7 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 4 2 1 1 4 7 6 2 -3 -5 -1 3 5 6 6 7 7 7 6 5 5 4 4 3 4 4 6 7 10 12 14 16 17 17 16 15 13 12 11 10 10 10 10 9 9 9 9 9 9 8 7 5 4 2 1 1 2 3 3 4 5 5 6 6 6 5 5 5 5 5 5 nan
nan 12 12 11 11 11 11 10 10 10 10 10 9 8 8 9 9 10 10 9 8 7 8 8 8 9 9 9 9 9 10 10 10 10 10 9 8 7 6 5 5 5 5 6 7 8 10 11 12 12 11 11 10 10 8 8 7 8 9 9 9 9 9 9 8 7 6 6 6 5 3 3 4 6 7 7 7 6 7 7 7 7 8 8 7 6 5 6 7 9 8 7 7 7 7 7 7 7 7 7 8 8 8 8 7 6 7 7 7 7 6 6 6 7 7 6 5 5 5 5 6 4 -1 -7 -8 -3 3 5 6 6 7 7 7 6 6 5 4 3 3 2 3 3 4 6 8 10 13 15 16 16 16 15 14 12 11 10 10 10 10 10 10 10 10 10 10 9 8 6 4 3 2 3 3 4 5 6 6 6 6 6 6 6 5 5 5 5 nan
nan 13 13 12 12 12 11 12 12 12 12 11 9 8 8 8 9 10 10 10 8 7 6 6 6 7 7 8 8 9 10 11 11 11 12 12 10 9 8 7 6 6 7 7 7 8 10 11 12 12 12 12 10 9 8 7 7 8 8 9 9 9 10 10 9 8 7 6 6 5 4 3 4 5 7 7 7 7 7 7 7 7 8 8 7 6 6 7 8 9 9 8 7 7 8 8 7 7 7 8 8 9 9 8 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 5 -0 -6 -10 -6 0 4 6 7 7 7 7 7 6 5 5 4 4 3 3 3 3 3 4 5 7 9 11 14 15 16 15 15 14 12 11 11 10 10 10 10 10 10 10 9 9 8 7 6 4 3 3 4 5 5 6 7 7 7 7 7 6 5 5 5 5 nan
nan 14 14 12 11 11 11 12 12 13 13 12 10 9 9 8 9 10 11 11 9 7 6 5 5 5 6 7 8 9 10 10 10 11 12 12 12 10 9 8 8 8 8 8 7 7 9 10 11 12 12 12 10 8 7 6 7 8 9 10 9 9 10 10 10 9 7 6 6 5 5 5 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 4 -4 -10 -9 -2 4 6 6 7 8 8 8 7 6 5 5 4 4 4 4 4 4 4 4 4 4 6 8 10 12 14 15 15 14 14 13 12 11 10 10 10 10 10 9 9 8 7 7 6 5 5 5 5 5 6 6 7 7 8 7 7 6 6 5 4 4 nan
nan 15 14 12 10 10 11 11 12 12 13 13 12 10 9 9 9 10 12 12 11 10 8 7 6 6 6 7 8 8 9 9 10 10 11 11 11 11 10 10 9 9 8 8 7 7 8 9 10 11 11 11 10 9 7 7 8 9 10 9 9 9 9 9 9 9 8 6 5 5 5 6 6 6 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 9 10 11 10 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 1 -6 -9 -4 4 8 8 6 6 7 8 8 8 7 5 5 4 4 4 5 5 6 6 5 5 4 4 5 7 9 11 13 14 14 14 14 13 12 11 11 10 10 9 9 9 8 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 5 4 4 nan
nan 15 14 13 11 11 11 12 12 13 13 13 13 12 10 10 10 11 13 13 13 11 9 8 7 7 7 7 7 8 8 9 9 9 10 10 11 11 11 10 9 9 8 8 7 7 7 8 10 10 10 10 11 10 9 8 9 9 9 8 8 8 8 8 8 8 8 6 5 5 6 7 8 7 6 6 6 7 7 7 7 8 8 7 6 5 5 5 6 9 11 12 11 10 9 8 7 7 7 7 6 6 6 6 7 7 6 6 6 7 6 7 7 7 6 6 6 6 6 3 -1 -5 -3 4 10 11 9 6 5 6 7 8 8 7 6 5 5 5 5 6 6 6 7 6 6 5 5 4 5 6 8 10 12 13 14 14 13 13 12 11 11 10 10 9 9 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 6 5 5 4 4 nan
nan 14 14 13 12 12 12 13 13 13 14 14 13 12 12 11 11 11 12 13 13 12 9 8 8 7 7 7 7 7 8 8 8 9 9 10 11 11 11 11 9 8 7 7 7 7 8 9 9 9 9 9 11 12 12 10 10 9 8 6 6 7 7 7 8 8 8 7 6 6 8 9 8 7 7 6 6 6 7 7 8 10 10 8 6 5 4 5 7 9 11 11 10 8 7 6 6 6 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 6 6 6 6 6 4 1 0 4 10 13 12 9 6 5 4 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 5 5 5 6 8 10 12 13 14 14 13 13 12 11 10 10 9 9 9 9 8 8 8 8 9 9 9 9 8 8 7 7 7 6 5 5 4 4 4 nan
nan 13 13 13 12 12 12 12 12 13 13 13 13 12 12 11 10 9 9 10 11 10 9 8 7 7 7 7 8 9 9 8 8 8 9 9 10 10 10 10 9 8 7 7 7 7 8 8 8 7 7 8 11 13 13 12 11 9 8 6 5 5 6 7 8 9 9 8 8 8 9 9 9 8 7 7 7 7 7 8 9 10 10 8 7 5 5 6 8 9 9 9 8 7 6 5 6 7 8 8 8 8 8 9 9 8 8 7 7 8 8 8 8 8 7 7 7 7 7 6 5 5 7 9 10 9 9 7 5 2 1 1 3 6 7 7 7 7 8 8 8 8 8 8 8 7 7 7 6 6 6 6 8 10 12 13 14 14 13 12 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 8 7 6 5 5 4 4 4 4 nan
nan 10 11 11 11 11 10 11 11 11 11 12 11 11 10 10 8 8 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 9 9 10 10 9 8 7 7 7 7 7 7 7 7 9 11 12 12 12 11 9 7 6 6 7 9 9 10 11 10 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 8 7 6 7 8 9 8 7 7 8 8 6 7 8 9 9 9 8 8 8 9 10 10 10 9 9 9 9 9 9 8 8 8 8 7 7 8 8 8 7 7 7 7 8 7 4 -0 -4 -4 1 5 7 8 8 7 8 9 9 10 10 10 9 9 8 7 7 7 6 6 7 8 10 12 13 14 14 13 12 11 10 10 9 9 9 9 10 10 10 10 11 11 11 10 10 8 7 6 5 4 4 3 3 4 nan
nan 8 8 8 9 9 9 9 9 9 9 10 10 10 9 8 7 8 8 8 8 8 8 9 9 8 7 7 7 8 8 9 9 9 9 9 9 8 8 8 10 11 11 9 8 8 8 7 7 7 7 7 8 9 10 11 12 12 11 10 9 10 10 11 11 12 12 10 8 7 7 8 10 10 10 10 10 10 9 9 9 8 8 7 7 7 8 9 9 8 7 8 9 8 8 9 9 9 9 9 8 7 7 8 10 11 11 10 10 10 10 10 10 9 9 9 8 8 8 8 9 9 8 7 5 3 2 1 -1 -4 -9 -6 2 6 8 8 7 7 7 8 9 10 10 11 11 10 9 8 8 8 7 7 7 7 8 10 12 13 14 13 12 11 10 9 9 9 9 9 10 10 11 11 11 11 11 11 10 9 8 6 5 4 4 3 4 4 nan
nan 6 6 7 7 7 8 8 8 8 9 9 9 9 8 7 8 9 10 10 9 9 9 9 9 8 7 6 6 7 7 8 9 9 9 9 9 9 8 8 8 8 9 9 8 8 8 8 8 8 7 7 7 8 8 8 9 10 11 12 12 12 12 12 12 13 12 10 7 5 6 8 10 10 10 10 11 11 10 10 9 9 8 7 7 9 10 10 10 8 8 8 9 9 9 9 9 9 9 9 8 7 7 7 9 10 10 10 10 11 11 11 10 10 10 9 9 9 8 8 9 9 9 6 1 -5 -7 -7 -5 -7 -9 -3 4 8 9 8 7 7 7 7 8 9 10 11 11 11 10 9 9 8 8 8 8 7 7 8 10 12 13 13 12 10 9 9 8 8 8 9 10 10 11 11 11 11 11 11 11 9 8 7 6 4 4 4 4 5 nan
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nan 10 9 9 9 9 10 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 9 9 10 10 10 11 11 9 8 7 6 5 4 5 6 7 6 5 5 5 5 6 8 9 9 9 7 6 6 6 6 8 10 11 12 11 11 10 11 11 12 13 13 12 12 12 12 11 11 11 10 10 9 9 8 8 7 7 8 8 8 8 8 9 10 11 10 10 10 10 10 11 13 14 16 19 19 19 16 13 11 11 12 14 16 18 20 19 17 14 13 12 10 8 8 11 15 20 25 29 32 33 34 33 31 28 26 23 21 19 17 16 15 14 13 12 nan
nan 10 10 10 9 9 9 10 11 11 10 10 9 9 10 11 11 11 10 10 10 10 9 9 9 8 8 8 7 7 6 6 7 7 8 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 10 8 6 5 5 4 4 6 7 7 6 6 5 6 6 8 9 10 10 9 8 7 6 6 8 9 10 11 11 10 10 11 11 12 13 13 13 13 13 12 11 11 11 10 10 9 8 8 8 8 7 8 8 8 8 8 8 9 10 10 10 10 10 10 10 11 11 11 12 11 11 11 8 5 3 2 2 4 7 11 13 12 10 11 13 14 11 8 7 10 13 18 24 27 29 31 31 30 27 25 22 20 18 16 15 13 11 11 10 9 nan
nan 9 9 9 9 9 9 10 10 10 10 9 9 9 10 11 11 11 10 10 9 9 9 9 9 8 8 7 7 7 6 6 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 7 5 4 4 5 5 7 8 9 9 9 8 8 7 8 9 11 11 11 9 8 8 8 9 10 10 10 10 10 10 10 10 11 11 12 12 13 13 12 11 10 9 9 10 10 9 8 8 8 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 7 5 3 2 3 3 3 3 4 7 11 12 9 7 7 9 11 14 16 18 20 21 20 19 18 18 16 15 13 12 10 9 8 8 8 8 nan
nan 8 8 7 7 8 9 10 10 10 10 9 9 10 10 11 11 10 10 9 9 9 9 8 8 8 8 7 7 7 6 7 7 8 8 9 9 9 9 9 10 10 10 10 9 9 9 10 10 9 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 9 8 8 7 7 6 5 5 5 6 7 8 9 10 11 11 11 9 8 8 9 10 11 11 10 10 9 10 11 12 12 11 10 10 10 10 10 10 10 10 11 11 11 11 10 9 8 8 8 9 10 9 9 9 10 10 11 12 12 11 11 10 10 9 8 8 8 8 9 9 10 9 9 9 8 8 8 9 11 14 16 16 15 13 11 9 7 7 9 10 10 8 8 8 8 8 8 8 8 8 8 8 8 7 8 10 10 9 7 6 5 4 4 5 6 7 nan
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nan 7 7 6 7 8 9 10 10 10 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 6 6 6 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 7 4 1 -3 -4 -2 1 3 4 6 7 8 8 9 10 10 10 10 10 9 8 8 8 9 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 10 9 8 8 9 10 10 10 9 9 9 9 9 10 11 11 12 11 10 9 8 7 6 7 8 9 9 10 10 10 9 9 9 9 9 9 10 11 12 14 17 20 21 22 22 23 23 22 21 22 22 22 22 21 18 15 11 8 5 3 2 3 6 8 8 6 4 3 2 2 2 2 3 5 nan
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nan 9 10 11 12 12 11 10 8 7 7 8 8 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 10 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 7 0 -7 -11 -11 -9 -5 -1 3 6 7 6 4 3 4 6 7 9 9 8 8 8 8 8 8 9 10 12 13 13 12 11 11 10 10 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 10 10 10 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 8 10 11 11 11 10 10 10 11 12 12 11 11 11 11 11 10 11 10 10 10 10 11 11 11 11 11 12 12 13 15 16 17 19 21 21 21 20 20 17 13 9 9 11 15 17 17 16 13 11 8 7 7 nan
nan 12 14 16 16 15 13 11 9 7 7 7 8 8 9 9 9 9 8 8 8 7 7 8 8 8 7 7 7 6 6 7 8 10 11 10 10 10 10 10 10 9 9 8 8 7 7 8 8 8 9 9 10 10 10 10 11 11 10 10 10 8 2 -6 -11 -11 -6 -0 4 8 10 12 11 9 8 7 8 8 8 8 6 3 3 4 5 6 8 9 11 11 11 11 10 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 7 6 6 5 5 6 7 8 9 9 9 9 9 9 9 9 9 10 11 11 11 10 10 10 10 11 12 12 12 12 12 11 11 11 11 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 13 15 17 18 18 19 19 18 15 14 16 19 21 22 22 20 17 13 10 8 nan
nan 16 18 19 19 17 14 11 9 8 7 8 8 8 8 8 8 8 8 8 8 7 8 8 8 7 7 7 6 5 4 6 8 12 13 12 11 10 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 11 11 11 11 10 9 6 1 -2 -3 0 5 9 12 13 14 14 13 11 10 10 10 10 9 8 4 1 0 1 2 3 6 7 8 9 9 8 8 8 8 9 10 10 10 10 11 11 11 10 10 10 10 11 11 11 10 9 9 8 8 7 7 6 6 5 6 7 8 9 9 10 10 10 10 10 10 10 11 11 11 10 10 10 9 9 9 11 12 12 13 13 13 12 12 11 10 10 10 10 11 11 12 12 12 12 11 10 10 9 9 10 11 12 13 13 13 14 15 17 16 15 15 16 17 18 19 20 19 17 13 11 nan
nan 17 18 19 18 16 14 11 9 8 8 9 9 8 7 7 6 6 7 8 8 7 7 7 7 7 6 6 5 4 3 4 6 10 13 14 12 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 10 10 10 11 11 11 10 9 8 7 7 8 12 15 16 17 18 18 16 13 11 10 11 11 11 10 9 7 5 4 3 3 3 3 4 5 6 7 9 9 9 8 8 8 7 8 8 9 9 9 9 9 10 11 11 11 10 9 7 5 5 5 6 7 8 8 8 9 10 10 10 9 9 10 11 11 11 10 10 10 10 10 10 9 10 9 9 10 11 11 12 13 13 13 13 13 12 10 9 9 9 9 10 11 11 12 11 10 10 9 9 9 10 10 11 11 11 11 11 11 12 13 13 13 11 10 10 12 14 16 15 14 12 nan
nan 16 16 16 16 14 12 10 9 8 9 9 8 7 7 6 6 6 8 9 8 7 7 6 7 7 6 6 6 5 4 3 4 8 13 15 14 11 9 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 11 10 10 10 11 12 14 18 19 19 19 19 17 14 11 10 11 11 11 12 11 11 10 9 9 8 7 5 4 3 4 5 7 8 8 8 7 7 6 5 6 7 7 8 8 9 10 10 10 10 10 8 7 6 5 5 5 6 8 9 11 12 12 12 12 11 10 10 10 10 11 11 10 10 10 10 10 9 9 9 9 9 10 10 10 11 12 12 12 13 12 11 9 9 8 8 9 10 10 11 11 10 9 9 9 9 9 10 10 10 10 10 11 10 10 10 11 13 13 12 10 8 8 9 11 11 12 11 nan
nan 14 15 15 14 13 11 10 9 8 8 7 7 7 7 6 6 7 9 8 7 6 6 6 7 7 7 6 6 6 5 4 4 6 11 15 15 12 9 9 9 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 11 11 11 11 11 11 13 15 15 14 13 12 11 10 11 12 12 12 12 12 12 11 11 10 10 10 9 8 7 7 8 8 7 5 4 4 5 5 5 6 6 7 7 7 8 9 10 10 10 9 8 7 7 8 9 9 9 9 10 11 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 10 11 11 12 11 10 8 8 8 7 7 9 10 10 11 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 13 15 14 13 10 8 8 8 8 9 9 nan
nan 13 14 14 13 12 12 11 9 8 7 7 7 7 6 6 6 7 8 7 6 5 5 6 7 7 7 7 7 7 6 5 4 6 10 14 16 14 11 9 9 8 8 8 9 9 9 9 9 9 8 8 9 9 9 9 10 10 10 10 10 10 9 9 10 10 8 4 2 3 6 9 12 13 12 12 12 13 13 12 11 10 10 10 10 10 10 11 11 10 7 5 2 1 2 4 5 6 7 8 8 8 8 8 9 9 9 8 8 9 10 11 11 11 11 11 11 11 11 10 10 10 11 13 13 13 12 11 10 10 10 10 9 9 8 8 7 6 6 7 7 8 8 10 10 11 11 10 8 7 7 8 8 8 9 10 11 11 10 9 9 10 10 10 10 10 11 11 11 11 11 10 9 9 10 12 14 14 13 11 10 9 8 7 7 7 nan
nan 13 13 13 13 13 12 11 10 9 8 8 7 7 6 6 6 7 7 6 5 4 5 6 7 7 7 7 7 7 7 6 5 5 8 13 16 16 13 10 9 8 8 9 9 9 9 9 9 9 8 9 9 10 10 10 10 9 9 9 9 9 8 8 9 7 3 -2 -2 2 7 11 13 11 11 12 14 15 14 12 11 11 10 11 11 11 11 11 11 10 9 8 7 6 5 5 5 5 6 7 8 8 7 6 6 7 7 8 9 9 10 10 9 9 9 10 10 9 8 8 8 9 10 12 13 14 13 11 10 10 9 9 9 8 8 8 8 7 7 7 7 8 9 9 9 10 11 10 9 8 8 8 9 9 10 10 12 11 10 10 10 10 10 10 11 11 11 11 12 12 13 12 11 10 11 11 12 13 12 12 11 10 9 8 7 7 nan
nan 12 12 12 12 12 13 12 10 10 9 9 8 8 7 7 7 7 6 6 5 5 5 6 7 7 7 7 7 7 7 7 6 5 7 11 15 16 14 11 9 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 8 8 9 9 6 2 1 4 9 13 15 13 11 12 14 15 15 13 13 12 12 12 13 13 13 13 14 14 13 13 12 11 10 9 7 6 4 5 6 7 8 8 7 6 6 6 7 8 8 7 7 6 8 9 10 10 9 8 8 9 9 10 10 11 11 11 10 10 10 11 10 9 9 9 10 10 10 10 9 9 8 9 8 8 9 10 10 9 9 9 9 9 10 10 11 12 11 11 11 10 10 10 10 10 11 11 12 13 13 14 16 16 16 15 14 13 12 12 12 11 11 10 9 8 7 nan
nan 11 11 11 12 12 12 12 11 10 10 10 9 9 9 9 8 7 7 6 5 5 6 7 7 7 7 7 7 7 7 7 6 4 5 8 13 16 14 11 9 9 9 8 9 9 10 9 9 9 10 10 11 11 10 10 9 9 8 8 8 8 8 8 8 7 7 9 13 17 18 17 14 13 13 13 12 11 12 13 14 15 15 16 17 17 16 17 17 17 15 14 14 13 12 11 9 7 6 5 5 5 7 8 8 8 7 8 8 7 7 7 9 11 13 13 13 11 10 10 11 11 11 10 9 9 9 10 11 12 11 10 9 9 9 10 10 11 11 10 9 8 7 7 8 9 9 9 9 9 8 9 9 9 10 11 12 12 12 12 11 10 9 9 10 11 12 12 13 13 14 17 19 21 21 20 18 15 13 12 12 11 11 10 9 9 nan
nan 11 11 11 11 12 12 12 11 11 10 10 10 10 10 10 9 8 7 6 6 6 7 8 9 8 7 6 7 7 7 7 6 4 4 6 11 15 14 12 10 9 8 8 8 9 9 9 10 10 10 9 9 10 10 10 9 8 8 8 7 6 6 7 8 10 11 13 15 16 15 14 14 13 12 9 7 8 10 12 14 15 16 17 17 16 17 17 17 17 17 16 16 16 15 15 14 13 11 9 6 5 7 8 10 10 10 10 9 9 9 10 12 13 14 13 12 11 11 12 12 13 12 11 10 9 10 11 11 11 10 9 9 9 8 8 8 8 9 8 7 7 7 7 8 9 8 8 9 9 9 9 9 10 11 11 12 13 13 12 11 11 10 10 10 11 12 12 13 13 14 15 17 21 24 24 22 20 16 14 13 13 12 11 11 11 nan
nan 10 11 11 11 11 12 12 12 11 11 11 10 10 11 11 10 9 8 8 7 8 9 9 9 8 7 6 6 6 7 7 6 4 4 4 10 16 16 14 11 9 8 9 9 9 9 10 11 10 9 8 9 9 10 10 10 9 8 7 6 5 6 7 9 11 12 11 11 11 11 12 12 10 8 6 6 7 9 9 10 12 13 13 13 12 13 13 14 15 16 17 18 18 19 20 20 20 19 17 15 13 12 12 11 11 11 10 10 10 10 11 11 11 11 10 9 10 11 12 13 13 12 12 11 11 11 10 9 8 8 9 10 10 9 8 8 7 7 7 7 8 8 9 9 10 10 11 11 10 10 10 10 11 11 12 12 13 13 13 12 11 11 11 11 11 12 13 13 13 13 14 16 19 23 25 24 22 19 17 15 14 13 13 12 12 nan
nan 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 10 10 10 9 8 7 6 6 6 6 6 6 4 4 5 11 17 17 15 11 8 8 9 10 10 11 11 11 11 10 9 9 10 10 11 11 10 8 7 5 5 7 9 11 11 10 9 9 9 10 9 8 7 5 6 7 7 8 8 9 10 10 10 10 10 11 11 12 13 14 15 16 17 19 20 21 22 23 23 23 21 18 15 13 12 11 10 10 10 10 10 10 9 9 8 9 10 11 12 13 13 13 12 12 12 12 10 9 9 9 11 11 11 11 10 9 8 9 9 10 11 12 12 12 12 13 14 14 13 12 11 11 12 12 12 13 14 14 13 13 12 11 12 12 13 13 13 13 13 13 14 15 19 22 24 25 24 22 20 19 18 17 17 17 17 nan
nan 8 8 9 9 10 11 11 11 11 11 12 12 12 12 12 11 10 10 10 10 11 11 11 10 9 7 6 6 6 6 6 5 5 5 8 14 17 17 15 10 7 9 10 11 11 11 11 11 11 10 10 11 11 11 11 10 9 8 6 6 6 8 10 11 10 9 9 9 9 9 7 5 4 5 6 7 8 8 9 10 10 10 10 10 11 12 12 13 13 13 13 14 15 17 17 18 19 19 20 20 19 17 14 12 11 11 10 10 10 11 11 11 10 10 10 10 11 12 13 13 13 14 13 14 14 14 13 12 12 13 13 13 13 13 13 13 13 13 14 15 16 16 16 15 15 16 17 16 15 14 13 13 13 13 14 15 15 14 14 13 12 12 13 13 14 14 14 14 14 13 14 15 17 20 23 25 25 25 24 23 22 22 22 22 23 nan
nan 8 8 9 9 10 11 11 11 11 11 12 13 13 13 13 12 12 12 12 13 13 13 12 11 9 7 6 6 6 6 6 5 5 6 11 16 18 17 13 10 9 10 10 11 11 10 10 10 11 11 11 11 11 11 10 9 8 7 6 7 8 9 10 10 10 9 9 9 9 7 5 4 4 5 5 6 8 9 10 11 11 11 11 12 12 13 13 13 13 13 14 14 15 15 14 14 13 12 13 13 12 11 11 11 10 10 10 10 10 10 11 11 11 10 10 10 11 12 13 13 14 14 15 15 16 16 16 17 16 16 16 15 15 15 16 16 16 17 17 18 18 18 18 18 18 18 18 17 16 15 14 14 14 13 14 15 14 14 14 13 13 13 14 14 15 15 15 15 14 13 13 13 13 15 19 23 25 26 25 24 24 24 24 23 24 nan
nan 9 10 10 10 10 10 10 11 11 12 13 13 13 13 13 13 13 14 14 13 13 12 12 11 9 7 6 6 6 6 6 5 6 8 13 17 17 15 12 11 11 11 11 11 10 10 10 10 11 12 12 12 11 10 9 7 7 7 7 8 8 9 10 10 9 9 9 9 8 7 6 6 6 6 6 7 9 10 12 12 12 12 13 13 13 13 13 13 13 13 13 14 13 13 11 10 9 8 8 8 8 8 8 9 9 8 9 9 9 9 8 8 7 7 7 7 8 10 11 13 14 15 16 16 17 17 17 17 17 17 17 17 17 17 17 17 17 16 16 16 17 17 17 18 17 17 17 17 16 15 15 15 14 13 13 13 14 14 13 13 13 13 13 14 14 15 15 15 13 12 11 10 10 10 13 16 20 21 21 20 20 20 19 18 18 nan
nan 11 11 10 10 10 10 10 11 11 12 12 12 12 12 12 12 13 13 13 12 10 10 10 9 8 7 6 6 6 6 6 6 7 10 15 16 14 12 11 11 11 11 11 11 10 9 10 10 12 12 12 11 9 7 5 6 6 8 8 8 8 9 10 10 10 9 9 9 8 8 8 8 9 9 9 9 10 12 12 13 13 13 14 14 13 13 13 12 12 12 12 12 12 11 11 11 12 11 10 9 8 7 7 6 6 6 6 6 6 5 5 5 5 5 6 7 7 9 10 12 13 14 15 15 16 16 16 16 16 16 16 16 16 16 16 15 15 14 14 14 15 15 16 16 16 15 13 13 14 15 16 16 14 13 13 12 12 12 12 12 12 12 12 12 12 12 13 13 12 11 10 9 8 7 7 8 11 14 14 13 12 12 12 11 11 nan
nan 11 10 10 10 10 10 11 11 12 12 12 12 12 12 11 12 12 12 11 9 8 8 7 7 7 6 6 6 6 6 6 6 8 11 15 14 12 10 9 9 9 10 11 10 9 9 11 12 13 13 12 11 8 4 4 6 9 11 11 9 8 9 10 10 10 10 9 9 8 8 8 9 11 11 11 11 12 13 13 14 14 14 14 14 14 13 13 12 12 12 12 12 12 13 14 17 19 19 17 15 13 11 9 8 6 6 5 5 4 4 5 6 7 8 10 10 11 11 12 13 13 13 13 13 13 14 14 14 14 14 14 13 13 13 13 14 13 13 13 14 14 14 14 14 13 11 9 9 10 13 15 15 14 13 12 11 10 9 10 11 11 11 11 10 10 11 11 11 11 10 10 9 8 6 4 4 5 7 8 8 7 7 7 7 7 nan
nan 10 10 10 10 11 12 12 12 13 13 13 13 12 12 12 12 11 11 10 9 8 7 6 6 6 6 6 6 6 6 6 7 8 11 13 12 10 8 7 7 8 8 8 7 7 9 12 13 13 13 12 10 6 4 5 8 11 11 8 6 6 8 9 10 10 10 10 9 8 8 9 10 11 11 11 12 13 14 15 15 15 15 14 14 13 12 12 12 12 12 11 12 12 14 16 19 21 21 21 21 18 16 15 13 12 11 10 9 9 9 9 10 11 12 13 14 15 15 15 15 14 13 12 13 14 14 14 13 13 12 11 11 11 12 12 13 13 12 13 13 13 13 13 13 11 8 7 7 8 10 12 12 12 12 11 10 9 8 8 10 11 11 11 11 11 11 11 11 11 10 9 9 8 7 5 3 3 4 5 6 6 6 6 6 6 nan
nan 10 10 11 12 12 13 13 13 13 13 13 12 12 12 12 12 11 10 9 8 7 6 5 5 6 6 7 7 7 7 7 7 8 10 10 9 7 6 6 6 6 6 5 5 7 10 12 13 13 12 11 9 7 6 8 9 9 6 3 3 4 7 9 10 10 10 10 10 9 9 9 10 10 10 11 13 15 16 16 16 15 14 14 13 13 12 11 11 11 11 11 11 12 13 14 16 17 19 20 21 20 20 19 18 18 18 17 16 15 15 15 15 15 14 14 14 15 15 14 13 11 11 11 13 14 14 13 12 11 10 9 10 11 12 12 12 12 11 11 11 12 12 13 12 10 8 6 6 7 9 9 10 11 11 11 10 9 9 9 9 11 11 12 13 13 12 11 11 10 10 9 9 9 8 7 5 4 3 4 5 6 6 6 6 7 nan
nan 11 12 12 13 13 13 13 12 11 11 11 11 11 11 11 11 10 10 9 8 8 7 6 6 7 7 8 8 8 8 8 8 8 9 8 7 6 6 7 7 6 6 6 7 9 11 12 12 12 12 12 11 10 10 11 10 7 4 3 4 6 9 11 11 11 11 10 10 9 8 8 9 9 10 11 14 16 16 16 15 14 14 13 13 13 12 11 11 10 10 11 12 12 12 11 12 13 15 16 17 18 20 20 20 21 21 21 20 19 18 17 16 15 15 14 14 14 13 11 9 6 5 7 10 12 12 12 11 10 9 9 10 11 12 11 11 10 10 10 10 10 11 12 12 10 8 6 6 7 8 8 10 11 11 11 10 10 9 9 10 10 11 12 13 13 11 10 9 9 9 10 9 9 9 8 6 5 4 4 4 4 5 5 6 6 nan
nan 12 13 13 13 13 12 11 10 9 9 9 9 10 10 10 10 10 10 9 9 8 8 7 7 8 8 9 9 9 9 9 9 9 9 8 7 6 7 7 7 7 7 8 10 11 12 12 11 12 12 14 14 13 13 13 12 9 8 8 9 10 12 11 11 10 9 9 8 7 7 7 8 8 9 11 14 15 16 16 15 14 13 13 13 13 12 11 11 11 11 11 12 11 10 10 10 11 12 13 14 15 17 18 19 20 20 20 20 19 18 17 16 16 16 15 14 13 11 9 6 4 3 6 9 11 12 11 10 10 10 11 12 12 12 11 11 10 10 10 10 11 12 12 12 11 9 7 6 6 6 8 10 12 12 12 11 10 10 10 10 10 11 12 13 13 11 8 7 7 8 9 10 9 9 8 8 6 5 4 4 4 5 5 6 7 nan
nan 13 14 13 12 11 9 8 7 7 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 10 10 11 11 11 11 10 10 9 8 7 7 7 7 8 9 9 10 10 11 12 11 11 12 14 15 15 14 13 11 10 10 11 12 13 14 13 11 10 8 7 6 6 6 7 8 8 9 11 14 16 16 15 14 14 13 13 13 13 12 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 13 14 15 15 16 16 16 16 16 16 16 16 15 14 13 12 10 8 6 5 6 10 13 14 13 11 11 11 12 13 13 12 12 11 11 11 11 11 11 11 12 12 12 11 8 6 5 4 5 8 11 13 13 12 11 10 10 10 10 10 10 12 14 14 12 9 6 7 8 9 9 9 9 9 8 8 7 6 6 6 6 7 7 8 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
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2066 1949 1848 1797 1772 1780 1795 1800 1814 1817 1788 1709 1598 1523 1480 1466 1462 1462 1464 1473 1484 1490 1500 1531 1585 1663 1758 1857 1947 1998 1961 1827 1700 1603 1497 1338 1125 895 702 574 513 477 453 444 450 466 482 487 471 419 356 308 274 246 224 216 215 212 194 171 155 142 129 117 109 109 104 89 58 37 32 36 44 60 80 116 165 236 324 423 541 688 884 1042 1659 2238 2629 2870 3022 3100 3067 3018 2944 2949 3018 3105 3195 3302 3431 3573 3762 3916 4007 4032 3993 3897 3808 3742 3720 3721 3715 3703 3672 3623 3577 3509 3406 3320 3255 3193 3142 3125 3140 3175 3190 3246 3237 3256 3312 3283 3216 3264 3364 3477 3545 3555 3537 3517 3474 3481 3431 3405 3391 3360 3315 3278 3237 3182 3134 3098 3054 2990 2904 2799 2696 2594 2507 2404 2272 2129 1984 1838 1702 1623 1554 1497 1461 1435 1409 1387 1352 1345 1332 1338 1381 1451 1528 1596 1660 1724 1754 1798 1842 1872 1898 1966 2005
2037 1913 1837 1830 1836 1826 1816 1792 1792 1814 1812 1759 1682 1607 1551 1524 1518 1522 1538 1555 1557 1550 1527 1534 1586 1689 1820 1939 1998 1958 1797 1585 1410 1259 1100 928 758 618 526 472 442 434 437 448 462 474 468 450 405 345 285 237 196 164 149 148 148 148 140 125 106 86 68 52 46 46 42 28 13 4 3 4 5 9 14 28 49 84 126 179 257 379 693 879 1241 1740 2203 2502 2716 2822 2811 2800 2790 2815 2859 2896 2958 3058 3127 3234 3404 3589 3759 3897 3957 3933 3867 3787 3744 3736 3741 3744 3717 3683 3660 3622 3556 3519 3509 3448 3388 3359 3362 3429 3411 3441 3489 3500 3531 3574 3577 3575 3597 3637 3661 3643 3618 3611 3570 3554 3525 3498 3482 3459 3410 3366 3320 3273 3227 3195 3160 3105 3040 2957 2866 2772 2700 2629 2542 2440 2318 2174 2030 1908 1798 1710 1646 1594 1550 1508 1484 1460 1421 1387 1378 1393 1422 1502 1578 1638 1685 1734 1779 1810 1811 1856 1899
2044 1921 1852 1850 1871 1856 1847 1804 1796 1819 1831 1809 1769 1719 1659 1621 1607 1611 1628 1641 1627 1594 1547 1529 1577 1707 1839 1882 1803 1626 1402 1196 1019 858 703 575 489 438 419 415 404 398 409 421 428 428 399 371 318 256 204 167 143 126 106 89 93 96 93 80 60 39 25 11 9 9 8 4 1 0 0 0 0 0 0 2 6 11 19 45 91 181 447 627 831 1111 1459 1962 2257 2431 2519 2571 2622 2675 2706 2722 2764 2833 2894 2971 3073 3200 3349 3517 3632 3690 3682 3641 3597 3557 3523 3513 3498 3470 3415 3362 3326 3310 3308 3326 3350 3313 3322 3391 3418 3457 3533 3585 3604 3690 3780 3806 3784 3695 3583 3555 3582 3566 3570 3578 3581 3568 3546 3532 3487 3445 3403 3363 3324 3287 3250 3205 3157 3093 3036 2971 2897 2821 2758 2703 2614 2496 2372 2245 2111 1989 1899 1822 1757 1693 1641 1606 1570 1528 1487 1446 1432 1469 1516 1570 1628 1677 1729 1757 1767 1780 1806
2088 1973 1909 1924 1880 1873 1857 1836 1837 1854 1868 1870 1850 1807 1767 1737 1732 1735 1730 1713 1678 1631 1567 1540 1595 1710 1758 1651 1430 1179 964 807 685 588 502 448 464 545 458 366 357 339 328 324 312 305 281 264 222 167 128 108 93 76 58 51 53 52 46 36 23 10 6 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14 48 131 263 430 609 828 1279 1553 1860 2116 2258 2354 2437 2479 2517 2552 2586 2623 2657 2730 2842 2944 3088 3216 3308 3348 3333 3289 3244 3196 3159 3125 3108 3070 3041 3021 2993 2973 2976 2973 2985 2999 3015 3029 3072 3177 3254 3300 3391 3508 3613 3686 3674 3489 3402 3326 3304 3343 3429 3508 3525 3533 3530 3515 3474 3435 3412 3391 3364 3329 3303 3267 3224 3187 3139 3065 2983 2942 2901 2835 2751 2660 2561 2439 2309 2206 2116 2023 1938 1860 1794 1748 1704 1652 1596 1551 1524 1519 1547 1598 1622 1687 1723 1731 1736 1754
2125 2030 1968 1998 1915 1893 1880 1875 1871 1880 1909 1925 1914 1894 1878 1859 1849 1836 1812 1778 1728 1636 1539 1514 1577 1615 1527 1309 1040 801 638 548 496 468 466 500 564 592 445 303 271 243 211 192 174 164 163 160 139 103 74 60 53 41 34 29 23 16 11 8 4 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 15 63 150 261 388 530 737 1169 1475 1663 1862 2019 2107 2204 2251 2274 2308 2353 2394 2455 2536 2658 2765 2869 2938 2957 2922 2826 2715 2660 2632 2627 2635 2664 2697 2694 2676 2713 2729 2705 2610 2476 2389 2378 2341 2355 2484 2623 2718 2775 2881 3004 3033 2992 2904 2877 2925 3037 3161 3241 3317 3390 3416 3400 3387 3393 3393 3379 3360 3354 3325 3293 3273 3264 3243 3157 3107 3063 3022 2979 2931 2859 2731 2621 2508 2405 2300 2199 2109 2030 1961 1905 1851 1799 1743 1678 1616 1593 1613 1630 1668 1706 1725 1727 1742
2122 2054 2004 2019 1968 1922 1901 1899 1906 1923 1949 1972 1999 2000 1982 1949 1915 1893 1867 1804 1690 1521 1389 1328 1321 1279 1143 933 713 556 463 420 396 374 352 330 305 286 240 183 154 130 106 90 80 72 77 81 74 75 66 32 21 14 8 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 22 56 112 165 262 429 661 906 1156 1346 1494 1613 1699 1751 1789 1836 1877 1929 2022 2150 2271 2379 2436 2417 2324 2140 1975 1911 1914 1952 2019 2112 2214 2258 2263 2329 2398 2392 2292 2132 1909 1777 1700 1676 1695 1800 1883 1849 1847 1913 1998 2012 2090 2178 2280 2413 2575 2718 2829 2980 3107 3177 3212 3257 3304 3293 3280 3279 3269 3254 3258 3278 3303 3240 3179 3153 3134 3100 3073 3032 2958 2883 2774 2660 2549 2449 2373 2300 2210 2139 2077 2016 1960 1911 1816 1751 1717 1683 1670 1699 1737 1743 1749
2123 2060 2023 2021 2002 1952 1915 1906 1919 1951 2002 2039 2078 2082 2053 2001 1950 1894 1786 1606 1430 1263 1128 1028 950 866 757 628 499 427 378 345 314 282 245 202 162 134 109 88 71 56 45 39 34 31 33 34 30 24 16 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 5 15 26 54 101 173 271 436 565 791 924 1014 1078 1125 1166 1230 1332 1457 1599 1741 1835 1818 1653 1390 1218 1120 1077 1095 1175 1301 1434 1558 1636 1688 1744 1822 1873 1868 1852 1783 1765 1677 1533 1432 1411 1437 1398 1390 1399 1383 1376 1375 1439 1582 1728 1908 2205 2401 2596 2773 2871 2906 2979 3076 3108 3110 3100 3085 3092 3102 3118 3129 3063 3015 3008 3007 2998 3017 3058 3041 3000 2938 2862 2770 2669 2594 2527 2449 2377 2310 2237 2158 2133 2047 1971 1902 1825 1765 1769 1786 1793 1790
2145 2071 2038 2050 2025 1957 1929 1936 1954 1984 2038 2074 2114 2144 2119 2046 1933 1752 1498 1259 1081 942 827 732 652 581 515 455 395 355 320 283 248 213 176 134 103 79 60 45 34 26 20 16 12 11 14 13 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 1 1 4 13 38 69 101 102 269 375 431 487 535 579 657 768 905 1042 1158 1209 1132 853 599 484 442 428 442 503 627 747 839 926 991 1042 1098 1160 1195 1216 1215 1243 1310 1313 1270 1231 1211 1191 1212 1209 1191 1175 1152 1136 1187 1296 1443 1755 2104 2380 2552 2641 2658 2703 2756 2807 2828 2789 2761 2801 2800 2743 2678 2648 2660 2671 2674 2700 2783 2894 2932 2930 2938 2964 2950 2867 2786 2711 2647 2586 2536 2482 2396 2330 2265 2188 2102 2027 1945 1889 1868 1863 1863
2154 2086 2050 2086 2053 1979 1958 1971 1994 2024 2046 2049 2055 2053 2059 1995 1767 1411 1096 869 728 640 570 510 463 425 388 353 318 288 259 231 204 171 127 89 62 43 30 22 15 10 7 4 2 2 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 1 3 8 12 8 48 84 105 128 145 151 195 295 400 486 532 530 492 306 175 119 110 113 117 136 188 249 271 273 328 398 445 489 519 546 555 556 585 676 764 832 874 899 949 1053 1128 1082 1054 1023 1091 1174 1322 1591 1906 2165 2343 2441 2481 2497 2504 2534 2539 2462 2458 2541 2541 2414 2267 2277 2363 2367 2336 2397 2515 2629 2660 2664 2713 2829 2869 2858 2820 2770 2748 2718 2698 2667 2608 2535 2477 2410 2321 2237 2135 2052 1989 1957 1949
2128 2100 2063 2069 2061 2014 2000 2010 2020 2020 2005 1994 1990 1961 1914 1695 1323 979 731 575 483 426 387 352 321 300 275 252 228 205 188 174 157 130 87 60 39 23 12 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 1 0 0 3 8 11 12 16 18 20 42 81 114 124 106 96 58 33 26 27 27 25 33 40 53 56 48 53 75 106 112 131 154 171 180 203 274 333 388 462 527 590 655 721 817 858 912 984 1065 1187 1363 1570 1790 1993 2138 2223 2253 2224 2153 2167 2151 2203 2289 2335 2285 2211 2240 2185 2169 2185 2276 2307 2226 2174 2179 2258 2374 2452 2487 2493 2526 2607 2621 2611 2650 2681 2639 2597 2565 2512 2431 2331 2223 2135 2076 2045
2092 2109 2090 2047 2026 2016 2016 2012 1990 1952 1899 1894 1905 1776 1507 1166 851 629 484 393 323 282 258 236 209 187 167 154 143 128 116 106 91 74 54 38 22 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 3 7 12 5 6 5 5 7 7 5 3 6 9 10 8 6 8 14 22 25 28 40 57 69 80 105 140 176 223 278 338 398 463 541 609 696 775 851 936 1032 1111 1272 1453 1568 1681 1820 1865 1833 1855 1911 1982 2065 2131 2145 2131 2080 1993 2020 2061 2075 2039 1986 1972 1916 1919 1914 1847 1781 1881 2044 2124 2125 2116 2147 2266 2419 2456 2501 2537 2536 2489 2400 2305 2220 2156
2059 2117 2113 2046 1990 1953 1899 1795 1693 1712 1545 1613 1546 1326 1029 751 552 424 336 275 228 197 176 156 137 121 109 89 83 72 61 50 38 28 20 14 7 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 1 2 1 0 0 1 2 3 3 3 3 5 10 14 19 29 40 44 44 51 69 93 119 152 194 236 288 372 444 512 575 634 697 834 738 845 981 1030 1050 1154 1322 1454 1646 1779 1868 1943 1999 2019 2022 2007 1946 1924 1913 1907 1922 1891 1912 1912 1813 1678 1583 1594 1590 1665 1685 1635 1583 1627 1754 1876 2056 2211 2351 2454 2508 2510 2460 2376 2294
2051 2103 2075 1964 1847 1756 1660 1524 1394 1408 1386 1232 1048 857 670 508 387 298 234 186 153 130 114 101 90 77 67 52 44 33 20 11 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 7 6 6 7 11 16 24 34 42 40 38 48 63 77 90 107 128 157 195 250 310 366 422 481 511 595 687 789 886 947 963 990 1000 1229 1428 1552 1681 1796 1884 1901 1890 1877 1868 1834 1770 1711 1718 1664 1745 1791 1751 1631 1526 1661 1643 1593 1534 1409 1333 1358 1451 1542 1784 1964 2106 2277 2474 2598 2583 2514 2432
1972 1970 1940 1839 1658 1489 1326 1141 974 881 816 745 649 543 442 352 278 197 149 113 87 70 60 55 50 42 37 28 18 10 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 0 0 0 0 0 3 8 11 9 8 9 10 12 18 29 42 42 43 55 68 84 100 111 122 137 160 187 218 252 292 334 368 396 437 525 634 733 821 848 726 747 945 1046 1121 1308 1417 1632 1704 1727 1728 1727 1700 1629 1530 1467 1446 1493 1571 1622 1592 1553 1527 1458 1456 1368 1189 1120 1269 1468 1593 1739 1868 1992 2209 2493 2605 2619 2586 2534
1719 1677 1622 1521 1277 1052 869 691 602 560 501 474 423 369 317 247 180 120 82 57 38 27 22 19 20 16 13 9 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 1 3 2 1 2 5 6 8 12 21 29 30 34 44 64 90 114 139 169 193 217 239 259 277 304 337 362 382 385 422 478 479 510 547 520 627 759 831 889 935 939 1060 1199 1350 1460 1543 1560 1498 1407 1313 1242 1230 1269 1333 1357 1354 1353 1366 1370 1304 1206 1261 1400 1566 1627 1677 1770 1862 2069 2316 2373 2411 2470 2519
1332 1285 1199 1042 801 607 482 373 334 317 311 330 295 246 208 147 98 61 36 21 11 5 4 3 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 12 16 19 25 41 66 88 123 165 211 256 288 312 335 361 390 411 414 391 350 328 290 295 334 399 525 669 763 791 784 766 791 836 907 1053 1278 1364 1352 1285 1198 1131 1114 1095 1092 1053 990 941 997 1143 1178 1200 1351 1474 1528 1498 1492 1512 1523 1564 1623 1725 1860 2007 2192
910 817 734 609 453 322 240 191 164 187 191 205 189 157 128 87 47 25 12 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 1 2 3 6 13 23 40 57 82 115 157 208 257 287 325 362 385 393 383 348 290 242 218 213 250 344 493 629 709 726 725 727 740 747 751 796 1027 1161 1197 1161 1092 1032 1041 998 947 848 718 609 591 674 746 817 922 1004 1050 1051 1022 1015 1016 1015 1009 1095 1240 1357 1477
519 426 356 284 204 134 93 78 68 83 83 102 110 97 76 48 17 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 1 3 10 15 26 39 51 70 99 133 172 202 236 277 295 287 269 251 237 205 185 191 225 285 358 444 546 583 621 664 696 719 788 796 887 977 1029 1037 998 940 920 879 843 787 661 503 387 332 332 386 459 509 530 583 621 655 664 679 771 894 933 943 908
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