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 8 8 6 5 5 7 8 8 7 6 6 7 7 7 7 6 7 8 8 8 8 7 7 7 7 8 7 7 7 7 6 6 7 8 9 9 9 9 9 9 9 9 10 10 9 8 8 7 8 9 9 9 9 8 8 8 8 7 7 7 6 6 5 4 3 4 5 7 8 9 10 10 10 9 9 9 8 7 4 -1 -4 -2 5 10 11 11 12 12 11 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 9 10 9 9 10 10 10 10 10 10 10 10 9 9 8 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 8 8 9 9 9 8 7 5 5 6 7 8 8 8 7 6 5 4 6 7 8 nan
nan 7 8 8 7 5 4 6 8 8 8 7 6 6 7 7 7 6 6 7 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 7 8 9 9 10 10 10 9 8 7 7 6 6 7 8 8 8 8 8 8 7 7 7 7 7 6 6 5 4 4 4 5 7 8 9 10 9 9 8 8 8 7 5 0 -4 -4 1 7 9 10 10 11 11 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 7 6 5 6 7 7 6 6 4 3 2 3 4 nan
nan 7 7 8 7 5 4 5 7 8 8 8 6 6 7 7 7 6 6 7 7 8 8 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 9 10 10 10 10 9 8 7 7 6 6 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 5 4 4 6 7 9 9 9 9 8 8 7 7 5 2 -3 -6 -3 2 6 7 8 9 10 11 11 12 12 13 13 13 13 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 11 11 12 12 12 12 12 12 12 12 13 13 12 12 11 10 9 9 8 8 8 8 8 9 10 10 9 9 8 7 7 7 7 7 8 8 9 9 8 7 6 6 6 6 7 7 5 4 3 2 nan
nan 7 6 6 6 6 5 5 6 7 8 8 7 7 7 7 7 7 6 7 7 8 8 7 7 8 8 8 9 9 9 9 10 10 9 9 9 10 11 11 11 10 10 9 8 8 7 7 6 5 5 5 5 5 6 6 6 7 7 7 7 7 8 8 7 7 7 7 5 5 5 7 8 8 9 8 8 8 7 7 6 5 0 -4 -5 -2 2 4 6 7 8 10 10 11 12 13 13 13 14 14 13 13 13 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 9 9 8 8 9 9 9 9 10 10 11 11 11 12 12 12 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 13 14 14 13 12 11 10 8 7 7 6 6 7 8 9 9 8 8 7 6 7 7 8 8 7 6 4 nan
nan 9 7 6 5 5 5 6 6 7 8 8 8 7 7 7 7 7 7 7 8 8 8 7 7 7 8 9 9 10 10 10 11 11 11 11 12 12 12 12 11 10 9 8 8 8 8 8 7 6 5 5 5 5 5 5 5 6 6 6 6 7 8 8 7 7 7 7 6 5 6 6 7 7 7 8 7 7 7 7 7 6 3 -0 -3 -3 -2 1 3 5 6 8 9 10 11 12 12 13 13 14 14 14 14 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 10 10 11 11 11 11 12 12 12 13 12 12 11 11 12 13 14 14 14 15 15 15 15 15 15 15 16 17 17 15 14 13 11 9 8 6 6 6 7 7 8 8 9 8 8 8 8 8 9 9 9 7 nan
nan 10 9 6 4 4 5 7 7 8 8 9 8 8 7 7 7 7 7 8 9 9 9 8 8 8 9 10 10 11 11 12 12 12 12 13 13 13 12 11 10 9 8 8 8 9 9 8 7 7 6 6 6 6 6 5 5 5 5 5 5 6 7 7 8 7 7 6 5 5 5 6 6 6 7 7 7 7 7 8 7 7 6 4 1 -1 -2 -1 1 3 5 6 7 8 9 10 12 13 13 14 14 15 15 14 14 14 14 14 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 11 11 11 11 10 11 11 12 13 14 15 15 16 16 17 16 16 16 16 17 17 17 16 15 14 12 11 9 7 6 7 7 8 8 9 9 9 8 8 8 9 10 10 9 nan
nan 12 11 8 6 5 6 7 8 8 8 8 9 8 8 7 7 7 8 8 9 9 9 9 10 10 11 11 11 11 11 12 12 12 12 13 13 12 10 9 9 8 8 8 8 8 9 9 8 8 7 7 7 7 6 6 5 5 5 5 5 5 5 7 8 8 8 7 5 4 4 5 5 6 7 7 7 7 7 8 8 8 8 7 5 3 1 -0 -0 1 3 5 6 7 8 10 11 13 14 14 15 16 16 16 16 16 16 16 16 15 15 15 14 14 14 13 13 13 13 13 13 13 12 12 12 11 11 10 9 8 8 8 8 7 8 8 8 8 9 9 9 9 9 10 10 10 10 10 11 11 11 12 12 13 13 13 13 13 14 14 14 14 14 15 16 16 16 15 13 12 10 9 8 9 9 9 9 8 8 8 8 8 9 9 9 10 nan
nan 12 12 10 8 7 7 8 8 8 7 7 8 8 8 7 7 8 8 8 9 9 10 10 11 11 11 11 10 10 10 10 10 10 11 11 10 9 8 8 8 8 8 7 7 7 8 8 8 7 7 7 6 6 6 6 6 6 6 6 5 5 4 5 6 7 8 8 7 5 5 5 5 6 6 7 7 7 7 7 8 8 8 7 6 6 5 3 2 2 3 4 5 6 8 10 12 14 15 16 16 17 17 18 18 18 18 18 18 18 18 17 17 16 16 16 15 15 14 14 14 13 13 13 13 13 13 12 10 9 8 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 10 10 11 11 11 11 12 14 15 15 15 14 13 11 11 11 11 11 11 10 9 8 8 8 9 9 9 9 10 nan
nan 10 10 9 8 8 8 8 8 8 7 7 8 8 8 7 8 8 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 7 7 6 7 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 5 6 7 8 8 7 7 6 5 5 6 6 6 6 6 7 8 9 8 8 7 7 7 7 6 5 5 5 5 5 8 11 13 15 16 17 17 18 19 19 19 20 20 20 21 20 20 20 19 19 18 18 17 17 16 16 15 14 14 14 15 15 14 13 11 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 8 7 8 8 8 9 9 9 10 12 12 13 13 13 12 12 12 13 13 13 13 12 11 10 9 10 10 10 9 9 9 nan
nan 9 8 7 6 7 8 8 9 8 7 7 8 8 8 8 8 9 10 10 10 10 10 10 9 9 8 8 9 8 8 7 7 7 6 6 5 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 5 5 5 6 7 8 8 8 7 7 6 6 7 7 7 7 8 9 10 10 9 8 8 9 9 9 8 8 7 5 4 6 9 12 14 16 17 17 18 19 19 20 21 21 21 22 22 22 21 21 21 20 20 19 18 18 17 17 16 15 15 16 16 15 14 12 11 10 9 9 8 8 8 7 7 7 7 6 6 6 5 5 5 5 5 4 4 4 4 4 4 5 5 6 6 6 7 8 8 9 9 10 10 11 11 11 11 11 13 14 14 14 14 14 14 13 12 13 13 13 11 11 10 nan
nan 9 8 7 6 6 7 8 9 8 8 7 8 8 8 8 8 10 11 11 10 10 10 9 9 8 8 8 8 8 7 7 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 8 9 9 8 8 8 8 9 9 9 9 9 10 11 11 11 10 10 10 11 11 10 10 9 7 5 4 5 8 11 14 15 16 17 18 18 19 20 20 20 21 21 21 21 21 21 21 21 20 19 19 18 18 17 16 16 16 16 15 14 13 12 11 11 10 10 9 9 8 7 7 6 6 5 4 4 3 3 3 2 2 2 2 2 2 3 3 3 4 4 5 6 6 7 8 9 9 10 10 10 9 9 11 12 13 14 15 15 16 16 15 15 15 16 16 15 14 12 nan
nan 9 8 7 6 6 7 7 8 8 8 8 8 8 8 8 9 11 11 11 10 9 9 9 9 8 8 8 8 8 7 7 6 6 6 6 6 7 7 7 7 7 8 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 8 9 9 9 9 10 10 10 10 10 9 10 11 13 12 11 11 11 11 11 11 11 10 9 7 4 1 1 3 7 11 13 14 15 16 16 17 17 17 18 19 19 19 19 20 20 20 19 19 19 19 18 18 17 17 17 17 16 15 14 13 13 12 12 11 10 10 9 8 7 6 5 5 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 4 5 5 7 8 9 9 10 9 9 9 10 10 11 13 14 15 16 16 16 16 16 17 18 17 16 14 nan
nan 9 8 7 7 6 6 7 7 8 8 9 8 8 9 9 10 11 11 10 9 9 9 9 9 9 8 8 8 8 8 7 6 6 6 6 6 6 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 8 9 9 10 10 11 10 10 9 8 8 9 10 12 13 12 11 11 11 11 11 10 10 10 8 5 1 -3 -4 -1 4 8 11 12 12 12 12 12 13 13 14 15 15 15 16 17 17 17 17 17 17 17 17 17 17 17 17 16 16 15 14 14 14 13 13 12 11 10 10 8 7 6 5 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 4 5 6 7 8 9 9 9 10 10 10 10 11 13 13 14 15 15 15 16 16 16 16 15 15 nan
nan 8 8 8 7 7 7 7 7 8 8 8 9 9 10 10 11 11 10 10 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 6 6 6 6 7 7 7 8 8 8 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 8 8 9 10 11 11 10 9 8 7 6 7 9 11 11 11 10 10 11 11 10 9 8 8 8 7 4 0 -4 -5 -3 2 7 9 9 8 8 8 8 8 9 10 10 11 11 12 13 13 13 14 14 15 15 16 16 16 16 16 16 15 15 15 15 15 14 14 13 12 12 10 9 8 7 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 5 6 6 7 8 8 8 9 8 9 9 10 11 11 12 13 13 13 13 13 14 14 15 nan
nan 8 8 8 8 8 8 9 9 9 8 8 9 10 10 11 10 10 9 9 8 8 9 9 9 9 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 7 7 8 7 7 7 7 7 6 6 6 6 7 7 7 7 7 8 8 8 8 8 9 9 9 8 8 7 7 8 9 9 10 10 10 9 8 7 6 7 8 9 8 8 8 9 10 10 9 8 8 8 8 8 8 6 2 -3 -5 -3 2 6 7 6 6 6 6 6 6 6 6 7 7 8 9 9 9 10 11 11 12 12 13 13 14 14 14 14 14 15 15 15 15 15 15 14 14 13 12 10 9 8 7 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 7 7 8 9 9 10 11 11 11 12 12 13 14 nan
nan 7 7 8 8 9 9 10 10 10 9 9 9 10 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 7 7 7 8 8 8 7 7 6 6 6 7 7 7 7 7 7 8 8 9 9 10 9 9 8 8 7 7 8 8 7 8 9 9 9 8 7 6 6 6 7 6 6 6 8 9 10 9 9 9 9 9 10 10 9 7 2 -3 -5 -1 4 6 6 6 5 5 5 5 5 5 5 5 6 6 6 7 7 8 8 9 9 9 10 10 11 11 11 12 12 13 13 14 14 15 15 15 14 14 12 11 10 9 8 8 8 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 6 6 6 6 6 6 5 4 4 4 4 5 5 6 7 7 9 10 10 10 11 11 11 11 nan
nan 7 7 8 9 9 9 10 10 10 10 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 9 9 8 7 6 6 6 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 10 10 9 8 8 7 7 8 8 7 6 6 6 7 8 8 7 6 6 6 6 6 6 7 8 9 10 10 10 10 10 10 10 10 10 9 5 -1 -5 -4 1 5 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 8 8 8 8 9 9 9 9 10 11 12 13 13 14 14 13 13 12 11 11 10 9 9 8 7 7 8 8 8 8 8 8 7 7 6 5 5 6 6 6 6 6 6 6 5 4 4 4 4 4 4 5 5 6 7 9 10 10 10 10 9 9 nan
nan 8 8 8 8 9 9 10 10 10 10 10 9 9 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 8 7 7 6 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 9 10 9 8 8 7 7 7 7 7 7 5 5 4 4 5 6 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 10 10 10 9 9 7 2 -3 -6 -3 1 3 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 9 10 11 11 11 11 12 12 12 12 11 10 9 8 8 8 8 8 9 9 9 9 9 8 7 6 6 6 6 6 7 6 6 6 5 5 5 5 5 5 5 5 6 6 7 8 9 10 10 10 9 9 nan
nan 9 8 8 9 9 10 10 11 11 10 10 9 8 8 8 10 10 9 9 8 8 8 8 8 8 8 7 7 8 8 7 6 7 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 7 7 6 5 5 4 5 6 7 7 8 8 8 8 8 7 7 7 7 7 7 7 8 9 9 9 9 9 8 5 0 -4 -6 -4 -2 1 2 3 3 4 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 10 11 12 12 12 11 10 9 8 8 8 8 9 9 10 10 10 10 9 8 7 6 6 6 7 7 7 6 6 6 6 6 6 6 6 7 7 7 8 8 9 9 9 9 9 10 nan
nan 9 9 9 9 9 9 10 11 11 11 10 9 8 7 8 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 8 8 9 9 9 7 7 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 7 7 8 8 7 6 6 6 5 6 6 6 7 7 8 9 9 9 8 7 5 0 -4 -6 -5 -3 -2 -2 -1 -0 2 4 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 9 10 11 12 13 12 12 11 10 9 8 8 8 9 10 10 10 11 10 9 8 7 7 7 7 7 7 8 8 7 7 7 6 7 8 9 9 9 9 9 9 9 9 9 9 10 nan
nan 9 9 9 9 9 9 9 10 10 10 10 9 8 7 9 10 10 9 9 9 8 8 8 8 8 8 8 9 10 10 10 10 10 10 9 8 9 10 11 11 10 9 8 8 8 7 7 7 7 7 7 7 6 7 7 8 8 8 9 9 9 8 7 6 6 6 6 7 6 7 7 7 7 7 6 6 5 5 5 6 7 8 8 7 7 6 6 5 5 6 6 6 6 7 8 8 7 7 7 7 5 2 -1 -3 -2 -1 -3 -4 -4 -3 2 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 8 9 10 12 13 13 13 12 11 10 9 8 8 8 8 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 7 6 6 7 9 10 11 11 10 9 9 8 8 8 9 10 nan
nan 9 9 9 9 8 8 9 9 9 9 9 8 7 7 9 11 10 9 9 9 9 8 8 8 8 8 8 9 10 11 11 12 12 11 10 8 8 9 10 11 11 10 9 8 8 7 7 6 7 7 7 6 5 6 6 7 7 8 9 9 7 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 6 7 8 8 8 8 7 6 6 6 6 6 6 6 6 6 6 6 5 6 7 7 6 4 3 3 3 2 -2 -5 -6 -2 3 5 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 9 11 12 13 13 13 13 11 10 9 8 7 7 7 8 8 7 7 6 7 8 8 8 8 7 7 7 7 6 6 6 7 9 11 12 12 10 9 8 7 7 8 9 10 nan
nan 9 9 9 9 9 9 9 9 8 8 7 7 7 7 9 11 11 10 9 9 8 8 8 8 7 7 8 9 10 11 12 11 10 9 7 7 8 8 9 9 10 9 9 8 7 7 6 6 6 6 5 5 5 5 5 5 6 8 8 8 6 5 5 6 6 7 7 7 7 6 6 7 7 7 7 7 6 6 6 6 5 6 7 7 8 7 7 7 7 8 8 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 6 3 -3 -6 -5 -1 2 4 5 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 6 6 6 6 7 7 7 8 9 10 11 13 14 14 13 12 10 9 8 7 7 6 6 6 5 5 5 6 7 7 7 6 6 5 5 5 5 5 6 9 11 11 10 9 8 7 7 7 8 9 10 nan
nan 9 8 9 9 10 9 9 8 8 7 7 7 8 8 10 11 11 10 9 9 8 8 7 7 8 8 8 9 9 10 9 8 6 5 5 6 7 7 7 7 7 8 8 8 8 7 7 7 6 5 5 4 4 4 4 5 6 6 6 6 6 6 5 5 6 6 7 7 7 6 6 6 6 7 7 7 7 6 6 6 5 5 6 7 7 7 7 7 8 8 8 9 9 9 9 8 8 7 7 8 8 7 7 7 7 7 6 5 1 -3 -5 -4 -3 0 3 5 6 6 6 7 7 8 7 7 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 7 7 8 9 11 12 13 13 13 12 11 10 9 8 7 6 6 5 4 4 5 6 6 6 5 5 4 4 3 3 4 5 7 9 9 8 7 6 6 6 7 7 8 9 nan
nan 9 8 8 9 9 9 9 9 8 7 7 8 8 9 10 11 11 10 10 9 9 9 8 8 9 9 9 8 7 7 6 5 3 3 4 5 6 6 6 6 6 6 7 7 8 9 8 8 7 6 6 5 4 4 4 5 5 5 5 5 5 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 7 7 6 6 7 7 7 8 9 9 10 9 9 8 8 8 8 8 8 7 7 7 7 6 6 4 2 -1 -4 -5 -4 -1 2 4 5 6 7 7 8 8 7 7 6 6 6 6 6 7 7 7 7 7 7 6 6 6 5 5 5 6 6 7 8 9 11 12 13 12 12 12 11 11 10 9 8 6 6 5 5 6 6 6 6 5 4 3 3 2 3 3 5 6 6 5 5 5 5 6 6 7 7 8 nan
nan 9 8 8 8 8 9 9 9 8 7 7 8 8 9 10 11 11 11 10 10 11 10 10 10 11 11 9 6 5 5 4 4 3 3 4 5 5 6 6 6 6 6 6 7 9 9 9 8 8 7 7 6 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 6 6 6 6 5 6 6 6 6 6 6 7 6 6 6 7 7 6 6 6 6 6 7 8 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 3 -0 -3 -4 -4 -2 1 4 5 6 7 7 8 7 7 7 6 6 7 7 7 8 8 8 8 8 7 7 6 5 5 5 4 5 5 6 7 8 9 10 11 11 12 12 12 12 11 10 9 8 7 6 6 6 6 6 6 5 4 4 3 3 2 2 3 3 4 4 4 5 5 6 6 7 7 nan
nan 9 8 7 8 9 9 9 8 8 7 7 7 8 9 10 12 12 11 11 11 12 11 11 11 11 10 8 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 7 8 9 9 9 8 8 8 8 7 7 7 6 6 6 6 5 5 5 5 6 6 6 5 5 6 6 6 6 5 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 7 7 8 8 7 7 7 7 7 6 6 7 7 7 7 7 6 6 6 6 5 4 2 -1 -3 -3 -2 1 3 5 6 6 7 7 7 7 7 7 8 8 8 8 9 8 9 9 8 8 7 6 6 5 5 4 4 4 5 6 7 8 9 10 10 11 12 12 12 12 12 11 10 9 8 7 7 7 7 7 6 6 6 4 2 1 1 1 3 4 5 5 5 6 6 7 7 nan
nan 8 7 7 8 9 10 9 8 7 7 7 7 8 9 11 12 12 11 10 10 11 10 10 9 9 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 8 9 10 10 9 9 9 9 8 8 8 7 7 7 6 5 4 4 4 5 6 6 6 6 6 6 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 8 8 8 7 7 7 7 7 6 6 7 7 6 6 6 6 6 6 6 6 6 4 1 -1 -1 -0 3 5 6 5 4 4 5 6 7 8 8 9 9 9 9 9 9 9 9 9 9 8 7 7 6 6 5 5 5 5 5 6 7 8 9 10 11 11 12 12 13 13 13 12 10 9 8 7 7 7 7 7 7 5 4 3 1 1 2 4 5 5 6 6 6 7 7 nan
nan 9 9 9 10 11 11 10 9 9 8 8 8 9 10 11 11 11 10 9 8 8 8 8 7 7 6 6 6 7 7 7 8 9 9 9 7 7 6 6 6 6 7 7 7 8 9 11 11 10 10 9 9 9 8 8 7 7 7 7 6 5 5 5 5 6 7 7 7 6 6 6 7 7 7 7 7 7 8 8 8 7 7 7 7 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 7 7 7 7 6 6 6 5 6 6 6 6 6 6 6 6 4 3 2 4 6 6 4 0 -1 2 5 7 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 7 7 6 5 5 5 5 6 7 7 9 10 10 11 12 13 14 14 13 12 11 9 8 6 6 6 6 5 5 5 3 2 2 3 4 5 6 6 6 7 7 nan
nan 9 10 11 11 11 12 11 11 11 10 9 9 10 10 10 9 9 9 8 7 6 6 6 6 6 6 5 6 7 7 8 9 10 10 10 8 7 7 6 7 7 7 7 7 8 10 11 11 11 10 10 9 8 8 7 7 8 8 8 7 7 7 7 7 7 8 8 8 7 6 6 7 7 8 7 7 8 8 8 8 8 8 7 7 6 6 6 6 7 7 8 8 8 8 7 7 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 7 7 7 7 6 5 5 6 6 5 1 -3 -4 -0 4 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 7 6 5 5 5 5 6 6 7 8 9 10 12 13 14 14 14 14 12 10 8 7 6 6 6 7 6 5 4 3 3 3 4 6 7 7 7 7 nan
nan 10 10 10 10 10 11 12 11 11 11 10 10 9 8 8 8 8 8 8 7 5 4 4 5 6 6 6 7 7 8 9 11 11 11 10 9 8 7 7 7 7 7 7 7 8 9 11 11 11 11 10 9 8 8 7 8 8 9 9 8 7 7 8 8 9 9 9 8 7 6 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 7 7 8 8 8 8 8 7 7 8 8 8 8 9 9 8 7 7 7 7 7 7 7 7 7 8 8 7 6 6 6 6 5 2 -2 -6 -4 0 3 5 6 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 10 9 8 7 6 6 5 5 5 6 6 7 8 9 11 12 13 15 15 14 13 11 9 7 7 8 9 10 9 8 6 4 3 3 4 6 6 6 6 nan
nan 9 9 9 9 10 10 10 10 10 10 10 9 8 7 7 7 8 8 8 7 5 4 4 5 5 6 6 7 7 8 10 11 11 12 11 10 9 8 8 7 7 7 7 7 7 9 10 11 11 11 9 8 7 7 7 8 9 9 9 8 8 8 8 8 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 8 8 7 7 8 8 8 8 9 9 9 8 8 8 8 7 7 7 8 8 7 7 6 6 6 6 6 5 0 -5 -7 -2 2 4 5 5 6 7 7 7 7 7 7 7 7 7 7 8 8 9 10 11 11 12 12 11 10 9 8 7 6 6 5 5 5 6 7 7 8 9 11 13 14 14 13 12 11 9 9 10 11 12 12 11 9 6 4 4 4 5 5 6 6 nan
nan 9 10 10 10 9 8 8 9 9 9 8 7 7 7 8 8 8 9 8 7 6 5 5 4 5 6 7 8 8 8 9 10 10 10 10 10 9 9 8 8 8 7 7 7 7 8 10 11 11 11 10 8 8 7 8 8 9 9 9 8 8 8 8 8 8 8 7 5 5 5 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 7 7 6 6 6 6 6 6 4 -1 -6 -5 1 5 6 5 5 5 6 6 6 6 6 5 5 5 6 6 7 7 8 9 10 11 11 12 12 11 10 10 9 8 7 6 5 5 6 6 6 7 7 9 10 11 12 12 12 11 11 10 10 10 10 11 12 11 9 7 6 5 5 5 5 5 nan
nan 11 11 11 10 8 8 8 8 8 7 6 5 7 9 9 9 9 9 7 6 6 5 5 5 5 6 8 9 9 9 9 9 9 9 9 10 10 10 9 9 8 7 7 7 7 8 9 10 11 11 10 10 9 8 8 9 9 9 8 8 8 8 8 8 8 8 6 5 5 5 7 8 9 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 3 -0 -1 2 6 9 8 6 5 5 5 5 5 5 5 4 4 4 5 5 6 6 7 8 9 10 11 11 12 12 11 11 10 10 9 7 6 6 6 6 6 6 7 8 8 9 10 10 10 10 10 10 9 8 8 9 10 11 10 9 8 6 4 4 4 4 nan
nan 12 12 11 10 8 8 8 8 8 7 6 7 8 9 9 9 8 7 6 5 5 6 6 7 7 8 8 9 9 10 10 9 8 8 9 10 11 10 10 9 8 7 7 7 8 8 8 9 10 11 11 11 10 9 9 8 8 8 7 7 8 8 8 8 9 8 7 6 6 7 9 10 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 9 9 9 9 9 9 9 8 8 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 4 3 4 8 11 11 9 7 6 4 3 3 3 4 4 4 4 5 5 5 6 6 6 7 7 8 9 10 11 12 12 12 12 11 10 9 8 7 6 6 6 6 7 7 8 9 9 9 9 9 10 10 9 8 8 8 9 10 10 11 9 6 5 4 4 4 nan
nan 11 11 11 10 9 9 9 9 8 8 8 9 9 9 8 8 7 6 5 6 7 7 8 8 9 9 9 9 10 10 10 9 8 8 9 10 10 9 10 9 8 8 7 7 7 7 8 8 9 10 10 11 11 11 10 9 8 7 7 7 7 8 9 9 9 9 9 8 8 9 10 10 10 9 8 8 8 8 9 9 9 8 8 8 8 8 8 8 9 9 8 8 9 9 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 8 9 10 10 9 8 6 3 1 0 1 4 5 5 5 5 6 6 6 6 6 6 6 6 7 8 10 11 11 12 12 12 12 11 10 9 8 7 7 7 7 7 8 9 9 8 8 8 9 9 10 9 9 9 9 9 10 11 9 8 6 5 4 4 nan
nan 10 11 11 11 10 10 10 10 10 10 10 10 9 9 9 8 7 6 7 8 8 9 9 9 9 9 9 9 10 10 10 8 7 7 8 9 8 8 8 9 9 8 7 6 6 6 7 7 8 8 9 11 11 11 11 10 9 8 7 8 9 10 10 10 10 10 10 9 9 8 9 10 9 8 8 8 8 8 8 8 8 7 8 8 9 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 7 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 8 8 8 8 7 6 4 1 -2 -3 0 4 5 6 7 7 7 7 7 6 6 6 6 5 6 7 8 9 10 11 12 13 13 12 11 11 10 9 8 8 8 8 8 9 9 9 8 8 8 9 9 10 9 9 9 10 10 10 9 8 7 5 4 4 nan
nan 10 11 12 11 11 11 11 11 11 11 11 11 11 11 10 9 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 8 8 8 9 9 8 7 7 8 9 9 8 7 7 6 7 7 7 7 8 10 11 11 11 11 10 8 8 9 10 12 12 11 10 10 10 9 8 7 8 9 9 8 8 9 9 8 9 8 7 7 7 8 8 8 8 8 8 7 7 6 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 8 8 7 6 4 2 1 -1 -3 -6 -5 1 4 6 7 7 7 7 7 7 7 7 6 6 5 5 5 6 7 8 9 11 12 13 13 13 12 12 11 10 9 9 8 8 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 9 9 8 7 6 5 nan
nan 11 11 11 11 10 10 10 11 11 11 12 12 12 12 11 9 10 11 10 10 9 8 8 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 8 9 10 10 11 10 9 9 10 11 11 11 10 10 10 9 8 7 7 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 7 6 6 6 6 6 6 6 6 7 7 7 7 8 8 9 8 8 8 7 8 8 8 9 8 8 8 8 8 8 8 8 8 6 3 -1 -4 -5 -5 -6 -7 -2 3 6 7 7 7 7 7 7 8 8 8 7 7 6 5 5 5 5 6 7 9 10 11 12 13 13 12 12 11 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 8 7 nan
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nan 11 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 9 8 8 7 8 8 9 9 9 9 8 8 7 7 8 9 10 10 10 11 12 12 10 7 5 4 4 6 7 7 7 7 7 8 7 6 6 6 7 8 9 8 7 7 8 9 10 11 12 11 11 10 10 10 9 9 9 9 9 8 8 7 7 9 10 11 11 10 9 9 8 8 9 10 11 11 11 10 10 10 10 11 12 13 13 13 13 14 15 17 18 17 16 15 14 15 17 19 20 21 20 19 17 15 14 13 13 12 11 11 11 10 10 9 8 7 7 6 7 8 10 11 12 12 12 12 11 11 10 9 nan
nan 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 7 6 5 5 6 6 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 9 8 7 7 8 8 9 9 9 8 8 8 8 8 9 10 11 11 11 11 11 10 8 5 4 4 5 7 8 8 8 7 7 7 7 7 8 10 11 12 11 9 8 7 8 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 8 7 8 11 12 12 11 10 9 8 8 8 8 10 11 13 13 13 14 14 13 12 11 11 12 12 13 12 12 12 12 12 11 9 7 5 6 7 9 11 12 12 12 14 16 17 15 14 12 11 10 10 9 9 8 7 7 7 7 7 7 8 7 7 7 6 7 7 7 7 nan
nan 10 10 10 10 9 9 9 9 9 9 8 8 8 7 6 6 5 5 5 6 6 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 8 8 9 9 9 9 9 9 9 10 10 11 11 12 11 10 9 9 8 6 5 5 6 7 9 10 10 11 10 10 9 9 10 11 12 13 12 11 10 9 10 11 11 11 11 10 10 10 9 8 8 8 9 9 10 10 9 8 9 11 13 14 13 12 10 10 9 9 9 10 11 12 13 13 14 14 14 13 11 10 10 10 11 12 12 11 11 11 11 12 12 10 7 4 2 1 1 2 4 5 8 11 13 13 12 11 10 9 9 8 8 8 8 7 7 7 7 7 6 5 4 3 2 3 4 5 6 nan
nan 10 10 9 9 9 8 8 8 8 8 8 7 6 6 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 12 12 12 12 10 9 7 7 8 8 8 7 8 9 10 10 11 12 13 12 11 11 11 11 12 12 11 10 10 11 12 13 13 12 11 11 11 10 10 9 8 8 8 8 9 10 10 9 9 10 12 13 14 14 12 11 11 10 10 10 11 11 12 12 12 11 11 11 11 10 9 8 8 9 10 11 11 11 12 13 15 17 17 17 14 11 8 6 6 7 8 9 9 9 10 11 11 10 10 9 9 9 8 8 8 8 8 9 8 7 5 3 2 1 1 2 4 5 nan
nan 10 9 9 8 8 7 7 8 8 8 7 7 6 6 6 6 6 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 6 6 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 11 12 12 11 10 8 7 6 6 7 9 9 9 9 10 11 11 11 12 12 12 11 10 11 11 12 11 11 10 10 11 12 13 14 13 12 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 11 12 12 12 12 11 10 10 9 10 10 11 11 10 10 10 9 9 9 9 8 7 7 7 8 9 11 11 12 12 14 15 18 20 22 21 20 19 20 20 21 20 18 17 17 17 18 17 15 14 13 12 11 10 10 11 13 14 13 10 7 5 4 2 2 2 3 5 nan
nan 9 9 8 8 7 7 7 8 8 8 7 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 7 7 7 7 6 6 7 8 8 8 8 8 8 8 8 8 8 9 10 10 11 11 10 10 9 9 8 7 5 4 4 4 6 7 8 9 10 10 10 11 12 11 11 12 11 9 9 9 11 12 12 12 11 10 11 11 12 12 12 12 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 10 11 11 11 11 11 13 16 19 22 23 23 24 25 26 26 25 25 25 25 25 25 24 22 20 18 16 14 13 14 16 18 17 15 12 9 7 6 5 5 5 6 nan
nan 9 8 8 8 8 8 7 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 7 7 8 8 8 7 7 6 6 5 6 7 7 8 8 8 8 8 8 8 9 9 10 11 11 11 10 9 6 5 3 3 1 1 3 5 6 7 8 8 8 9 9 11 12 12 11 11 10 8 8 8 10 12 12 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 11 11 11 11 11 10 10 10 11 11 11 10 10 11 12 13 15 17 18 18 18 19 19 20 21 22 24 25 26 27 27 25 24 23 21 18 15 14 15 17 17 16 14 12 10 9 9 9 9 nan
nan 9 9 9 9 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 8 9 9 9 9 10 11 11 11 11 10 9 8 7 8 8 8 8 8 7 5 5 5 5 6 7 7 8 8 8 8 9 9 10 10 11 11 11 11 8 4 1 -1 0 2 3 5 8 9 10 10 8 8 8 8 9 10 11 9 8 8 7 7 7 9 11 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 8 7 8 8 8 8 8 8 9 9 9 9 10 11 11 12 12 12 12 12 12 11 11 11 12 12 13 13 12 12 11 12 12 12 11 11 11 11 11 11 12 12 12 11 11 12 12 13 14 15 17 18 20 22 24 25 25 25 22 17 13 13 16 19 21 20 18 16 15 13 12 11 nan
nan 9 10 10 9 9 8 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 9 11 12 13 14 14 12 10 8 8 9 9 9 8 7 5 5 5 5 6 6 7 7 8 8 9 9 10 10 11 11 11 11 9 5 1 -1 -0 3 6 8 10 11 11 11 10 10 9 9 9 9 9 7 5 4 3 4 5 8 11 13 13 12 11 11 11 11 11 11 11 11 11 12 11 11 10 10 10 10 10 10 9 9 8 8 8 7 6 6 7 7 6 6 7 8 10 11 12 12 13 13 13 13 12 12 11 11 11 11 11 11 12 12 13 14 15 15 15 14 13 12 12 11 11 11 10 10 10 10 10 9 9 9 10 10 11 11 11 13 15 17 18 20 21 22 20 17 16 18 20 22 23 22 21 19 17 15 13 nan
nan 9 10 9 9 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 9 8 8 7 7 8 9 11 14 16 16 13 11 10 10 9 9 8 7 6 5 5 6 6 6 6 7 7 8 9 10 11 11 12 12 11 11 8 5 3 3 6 9 10 11 11 11 11 10 10 9 9 9 9 8 7 5 2 1 2 3 5 8 10 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 7 6 6 6 6 6 7 6 6 6 8 10 12 13 13 14 14 13 13 12 12 11 11 11 11 11 11 11 11 11 13 16 18 19 18 16 13 12 11 11 10 10 10 10 11 11 10 9 9 9 9 10 10 10 10 11 11 12 12 13 15 17 19 18 17 16 16 16 17 18 20 20 18 17 15 nan
nan 8 9 8 8 8 8 9 8 8 8 8 7 7 7 7 7 8 8 9 8 8 8 8 8 7 7 7 6 5 5 7 11 16 18 18 16 13 10 8 8 8 7 7 7 6 6 6 6 6 6 7 8 9 10 11 11 12 12 12 11 10 8 8 9 12 13 13 13 13 12 11 9 8 8 8 8 8 8 7 6 5 4 4 4 5 7 7 7 8 9 10 10 9 9 8 8 7 8 8 8 8 8 9 9 9 10 10 9 8 6 4 3 3 4 5 7 8 9 10 11 13 14 14 13 12 13 13 12 12 11 11 11 11 11 11 11 11 10 10 11 13 16 18 19 18 15 13 12 11 10 10 9 9 9 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 13 14 14 13 12 10 10 11 13 15 16 16 15 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 7 6 6 7 7 7 5 3 3 7 13 19 21 20 16 10 7 7 7 7 8 7 7 7 7 6 6 6 7 8 9 10 11 11 11 11 11 12 11 11 12 13 14 14 14 14 14 13 11 9 9 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 8 9 9 9 8 7 6 5 6 6 7 7 8 9 10 10 10 9 8 7 5 4 4 5 6 7 9 11 13 15 16 17 16 14 13 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 12 14 15 16 15 14 13 12 11 9 8 8 7 8 10 11 12 12 11 11 11 11 11 11 12 12 12 12 11 10 10 10 11 12 13 14 13 11 9 8 9 11 12 13 13 nan
nan 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 7 5 5 6 7 7 4 2 2 4 10 17 21 22 18 12 8 7 6 7 7 7 7 7 7 7 7 7 8 9 9 10 10 10 11 11 11 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 9 8 9 9 9 10 10 9 9 9 8 8 8 8 8 7 5 5 6 6 6 6 6 6 7 8 9 10 10 10 9 8 7 6 6 8 10 11 11 11 12 14 16 17 17 16 15 14 13 12 11 10 10 11 11 11 11 11 10 9 8 8 9 9 10 10 11 12 12 12 12 12 12 10 9 8 7 7 9 11 12 14 13 12 12 12 12 12 11 12 12 13 12 11 10 9 9 9 11 13 15 15 14 12 10 9 9 9 10 10 nan
nan 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 7 6 7 8 8 7 5 2 1 3 7 14 19 22 19 14 10 8 6 6 6 6 6 7 7 8 8 8 8 9 10 10 10 10 10 10 11 11 12 11 10 10 10 9 7 6 6 8 9 11 12 12 11 11 10 10 10 10 10 10 9 9 10 10 10 10 10 9 7 5 4 5 6 6 7 8 8 9 9 10 10 10 9 9 8 8 8 10 12 13 13 13 13 14 14 15 14 14 13 13 13 13 12 11 11 10 10 10 10 10 9 8 7 7 8 8 9 9 9 9 10 9 9 10 10 11 10 10 9 8 9 11 12 14 15 14 13 13 13 13 12 12 12 12 13 13 12 11 10 9 8 10 12 14 15 14 13 12 11 10 9 9 9 nan
nan 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 11 10 9 8 9 9 9 8 5 3 1 1 4 10 17 20 20 16 12 9 6 6 6 6 6 6 7 8 8 8 9 9 9 9 9 9 9 9 10 11 10 9 8 8 8 7 4 3 6 8 11 13 13 12 12 12 12 12 11 10 10 9 9 10 10 11 11 12 12 11 11 11 10 9 8 7 7 8 9 10 10 9 8 7 7 7 8 9 10 10 10 10 9 9 11 12 12 11 10 11 11 11 11 11 12 11 11 11 11 10 10 9 8 8 9 9 10 10 9 9 9 9 9 8 7 8 9 10 11 11 10 10 11 12 13 14 15 14 13 13 13 12 12 12 12 13 13 13 14 13 13 12 11 12 12 13 13 13 13 13 12 12 11 10 10 nan
nan 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 12 12 12 11 11 10 10 10 9 8 5 3 1 -0 2 7 13 18 20 18 14 10 7 6 6 6 6 6 7 8 8 9 9 9 9 9 8 8 8 9 10 9 8 7 8 8 8 7 6 7 10 13 15 14 13 12 12 12 13 12 11 11 10 10 11 11 12 13 14 15 15 15 15 15 14 13 11 9 7 6 7 8 9 8 7 6 6 6 7 8 8 7 6 6 7 9 10 11 10 9 9 10 10 10 10 10 10 11 11 12 12 12 10 9 9 10 11 12 12 12 11 10 9 8 7 7 7 8 9 12 13 13 12 12 12 12 13 14 14 14 14 13 13 12 12 12 13 13 13 14 14 15 16 17 17 18 17 16 15 14 14 14 14 13 13 13 12 nan
nan 11 12 12 12 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 13 12 12 11 11 10 10 9 7 5 3 0 -1 1 5 10 16 19 19 15 11 9 8 8 7 6 6 7 8 9 9 9 9 9 8 7 7 8 9 9 9 7 7 7 8 9 9 11 14 16 17 16 14 13 12 11 11 11 11 12 13 13 13 14 15 15 17 19 19 18 17 16 15 15 14 13 11 9 7 6 6 7 8 8 8 7 7 7 7 7 7 7 9 11 13 13 12 10 10 11 12 11 10 10 10 10 11 12 13 12 11 9 8 9 10 11 12 12 11 10 9 8 7 6 7 7 9 12 15 16 14 13 13 12 12 13 13 14 14 14 14 13 12 12 12 13 13 14 14 14 15 17 20 22 23 23 22 20 18 17 17 17 16 15 15 15 nan
nan 12 13 13 13 14 14 15 15 15 14 14 14 14 14 14 13 14 14 14 13 12 11 10 9 9 9 8 7 5 3 1 -1 1 4 9 16 20 19 16 12 10 10 9 8 6 6 6 8 8 9 9 9 8 8 7 6 7 9 9 8 7 6 6 7 8 11 14 16 17 15 13 12 11 10 9 9 9 11 12 13 14 15 15 16 17 19 19 19 17 16 15 15 15 15 15 15 13 12 10 8 8 9 10 10 10 9 9 9 9 9 11 13 14 14 13 12 11 12 13 14 13 12 11 11 12 13 14 13 10 7 6 7 9 10 10 11 11 9 8 7 6 7 8 9 10 12 14 17 17 15 14 13 13 12 13 13 13 14 14 14 13 13 12 12 13 14 14 14 15 16 18 20 22 24 26 27 27 25 24 23 23 22 21 20 19 nan
nan 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 13 12 11 10 8 7 7 8 8 7 6 5 4 1 0 1 5 10 18 22 20 16 12 10 10 9 7 5 4 6 8 9 9 9 9 8 8 7 7 7 8 9 8 7 6 5 5 8 11 14 14 13 11 10 9 8 8 8 8 9 10 11 12 12 13 13 14 15 16 15 14 14 14 15 16 16 17 18 18 18 17 17 16 15 14 13 12 11 11 10 10 10 10 12 12 12 11 10 10 12 13 14 14 13 13 12 12 12 13 12 10 7 6 6 8 10 10 10 10 9 8 7 7 8 9 11 12 13 14 16 17 17 16 15 14 13 12 11 11 11 11 12 12 12 12 12 12 12 13 13 14 16 17 18 18 19 23 26 30 31 31 30 29 29 29 28 26 25 nan
nan 12 12 12 11 11 11 11 10 10 9 10 10 10 10 10 10 11 11 11 10 8 6 6 6 7 7 7 6 6 4 3 2 2 5 12 19 22 20 15 10 7 7 6 5 4 5 7 9 10 10 10 9 9 8 8 7 8 8 8 8 7 6 5 6 8 11 12 12 11 9 8 7 7 7 8 10 10 11 11 11 11 11 12 12 13 12 11 11 11 12 13 14 15 17 18 18 19 20 20 21 20 18 15 12 11 11 10 10 11 11 11 11 10 10 10 11 12 13 14 13 13 12 12 12 12 11 10 8 7 7 8 10 10 10 10 10 9 8 9 10 12 13 14 14 15 16 17 16 16 16 15 14 13 11 9 8 8 9 10 10 11 11 10 10 11 11 13 14 16 17 16 14 14 17 22 27 30 30 30 30 30 30 30 29 28 nan
nan 10 11 11 11 10 9 9 8 8 8 8 9 9 10 9 9 9 10 11 10 8 7 6 6 7 8 7 7 6 5 4 3 4 6 13 19 19 17 13 7 4 5 5 6 7 8 9 10 11 11 11 10 9 9 8 8 8 7 8 8 8 7 7 7 8 10 11 10 10 9 7 6 6 7 9 10 10 10 10 10 11 11 12 12 12 10 9 9 9 11 12 13 14 15 15 15 16 17 18 18 17 15 13 11 10 10 10 10 11 11 12 12 12 11 11 12 13 13 12 12 11 11 11 11 11 11 10 9 9 10 10 10 10 10 11 11 12 13 14 15 16 16 16 16 16 15 14 13 13 14 15 14 12 10 8 7 7 7 8 9 9 9 9 9 10 11 13 15 16 16 13 10 8 8 12 18 21 22 22 23 24 24 24 24 25 nan
nan 9 9 10 10 9 8 7 7 7 8 8 9 10 10 9 8 9 9 10 9 7 6 6 7 7 8 8 7 7 7 6 5 6 8 13 16 16 14 11 7 6 6 7 7 8 10 10 11 11 12 11 11 10 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 10 9 7 6 6 7 9 9 10 10 10 11 11 12 13 12 11 9 8 8 10 11 12 13 14 14 14 13 13 12 12 11 10 10 9 9 9 10 10 10 11 11 11 11 12 11 11 12 12 12 11 11 10 10 10 10 11 11 12 11 11 12 12 12 11 12 13 14 15 17 17 17 16 16 15 16 16 13 10 9 9 11 12 12 12 10 9 8 7 8 9 9 9 9 9 9 11 12 14 16 17 14 10 7 4 3 4 8 11 13 14 14 15 15 16 16 17 nan
nan 9 9 9 8 8 7 7 7 8 8 9 10 10 10 9 8 8 8 9 8 6 5 5 6 8 8 8 8 8 8 8 7 8 10 14 15 14 12 10 8 9 9 9 9 9 10 10 11 11 11 10 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 10 9 8 7 7 8 9 9 9 10 11 12 12 13 13 12 10 9 8 9 11 12 13 14 15 14 13 12 10 9 8 7 7 7 7 8 8 8 8 9 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 11 11 13 13 13 14 14 13 13 13 14 14 15 16 16 15 14 14 13 12 13 13 12 9 7 6 8 10 11 11 10 10 9 9 9 10 10 9 9 9 10 12 14 16 17 15 12 9 7 4 2 2 3 6 8 9 9 9 9 10 11 11 nan
nan 10 9 8 7 6 6 6 7 8 8 9 9 10 10 9 8 7 7 8 8 7 6 5 6 7 8 8 8 8 8 8 8 10 12 14 15 13 10 9 9 11 11 10 9 8 9 10 11 11 10 9 8 8 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 10 10 10 11 12 13 13 14 13 12 10 9 9 10 11 11 12 14 14 14 14 13 13 12 10 9 8 7 7 7 6 6 5 5 5 5 5 5 6 7 9 10 10 10 10 9 9 9 10 10 12 13 13 13 14 14 13 13 13 14 14 15 14 13 12 12 11 11 10 11 11 10 8 6 6 6 8 10 11 10 10 10 10 10 10 10 9 9 9 10 12 14 16 16 13 11 9 7 5 3 2 2 4 6 7 7 7 8 8 8 9 nan
nan 10 9 8 7 7 7 7 7 7 8 8 9 9 9 9 8 7 7 7 8 8 7 6 6 6 7 7 7 8 8 9 9 10 12 14 13 11 9 9 11 12 12 10 8 8 9 10 11 10 9 9 9 10 11 12 12 12 11 10 10 9 9 10 10 11 11 11 11 10 9 9 10 11 11 11 11 11 12 13 14 14 14 13 12 10 9 9 9 10 10 11 13 14 15 16 17 18 18 16 14 12 10 9 7 6 5 5 4 4 4 5 6 7 8 10 11 11 11 10 8 8 8 9 10 11 12 12 12 12 12 11 11 11 12 13 13 12 12 11 11 11 10 10 10 10 10 9 8 7 7 8 9 10 10 10 10 10 10 10 10 10 9 9 10 12 13 15 14 12 10 8 7 7 5 4 3 3 5 6 7 7 7 7 8 8 nan
nan 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 9 8 7 6 5 6 6 6 7 8 9 10 11 11 11 11 10 10 12 13 13 11 9 7 8 8 10 10 10 10 11 12 12 11 11 11 11 10 8 8 8 9 10 10 11 11 11 11 10 9 9 10 11 11 11 12 13 14 15 15 15 14 13 11 10 9 9 9 9 9 11 13 14 16 17 18 19 19 19 18 16 15 13 12 11 10 9 8 8 8 8 9 10 11 11 12 12 11 10 8 7 7 8 10 12 13 12 12 11 10 10 10 10 11 11 11 11 10 10 10 10 10 10 9 9 10 10 10 8 8 8 9 10 10 10 9 9 10 10 11 10 10 10 10 12 13 14 13 11 9 8 8 7 7 5 4 4 4 5 6 7 7 7 7 8 nan
nan 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 9 8 7 6 5 5 5 6 8 9 10 10 10 10 10 11 13 14 13 11 8 7 7 8 9 10 10 10 11 12 12 11 10 10 10 9 7 6 7 8 9 10 11 11 12 12 11 10 9 8 9 10 10 12 14 15 16 16 15 15 14 13 12 11 10 9 9 9 10 11 12 13 14 14 15 15 16 17 18 19 19 18 18 17 16 15 14 13 13 13 12 12 12 12 12 12 11 10 8 7 7 9 11 13 13 12 12 10 9 9 9 10 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 9 8 8 9 11 11 11 10 9 10 11 12 12 11 11 11 12 13 14 13 11 9 8 8 8 8 7 5 4 4 5 6 6 6 7 7 8 nan
nan 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 6 7 8 9 9 8 6 5 5 5 6 7 9 10 10 10 10 11 13 15 14 11 9 7 7 8 9 11 11 11 11 11 12 12 11 11 10 10 8 7 7 8 10 11 12 12 12 12 12 11 9 7 7 8 9 11 13 15 16 16 16 15 14 13 13 13 12 11 10 10 10 10 11 11 11 11 10 10 11 12 14 16 18 20 20 20 20 20 19 19 18 17 16 14 13 13 13 13 12 11 10 8 7 7 9 11 12 12 12 11 10 9 9 9 10 10 10 10 9 9 10 10 10 10 10 11 11 12 12 11 9 8 8 10 11 12 11 10 10 11 12 13 13 13 12 12 13 14 14 13 11 10 9 9 8 8 8 7 6 5 5 6 6 6 6 7 7 nan
nan 8 8 7 7 6 7 8 8 8 9 8 8 8 7 7 7 7 7 6 7 8 9 9 8 7 6 5 5 6 8 9 10 10 10 10 12 14 14 13 11 9 8 8 9 11 12 12 12 11 10 11 13 13 13 11 10 9 9 10 11 13 14 14 13 12 11 10 8 7 6 7 9 10 12 14 15 16 16 15 14 13 13 13 13 13 11 10 10 9 9 10 10 10 9 9 9 9 10 12 13 15 17 18 18 18 19 19 20 20 19 18 17 16 15 14 14 13 12 10 8 7 7 8 9 10 11 10 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 11 11 12 13 12 10 8 6 7 10 12 13 11 10 10 11 12 14 14 13 12 13 14 15 15 14 12 11 10 9 9 8 8 7 6 6 6 6 7 7 7 7 8 nan
nan 9 8 8 7 7 7 8 8 8 9 9 9 9 9 8 8 8 7 7 7 7 8 9 9 7 6 6 6 7 8 9 10 10 10 11 13 14 14 12 11 11 10 9 10 11 12 12 12 10 10 12 14 14 13 11 9 10 11 12 13 15 16 15 13 12 10 8 6 6 7 8 10 11 12 14 15 16 16 15 14 13 13 13 13 13 11 10 10 9 9 9 9 9 9 9 9 9 10 10 11 12 13 13 14 15 15 16 17 18 18 18 17 17 16 14 14 13 12 10 8 7 6 7 8 9 9 8 8 8 8 9 10 9 9 9 9 9 9 10 10 10 11 11 11 12 11 10 8 5 4 8 11 13 13 11 10 10 11 12 12 13 13 12 13 14 15 15 13 12 12 11 10 9 9 8 7 6 6 7 7 8 8 8 9 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
1525 1594 1693 1817 1945 2049 2093 2121 2106 1991 1837 1666 1519 1424 1358 1290 1253 1255 1238 1229 1257 1306 1366 1461 1565 1640 1657 1610 1530 1454 1381 1305 1260 1226 1291 1406 1465 1294 1125 1249 1455 1310 1154 1002 775 517 301 170 116 96 82 73 62 46 30 17 9 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 7 25 45 60 79 111 135 155 194 302 492 673 743 834 961 1104 1274 1477 1677 1824 1919 2005 2147 2243 2323 2356 2445 2492 2373 2320 2364 2554 2529 2393 2340 2334 2333 2369 2426 2461 2500 2534 2566 2584 2591 2610 2656 2722 2888 3114 3303 3425 3488 3494 3476 3524 3406 3352 3359 3341 3239 3133 3103 3028 2858 2719 2704 2769 2881 3000 3078 3086 3085 3137 3038 2903 2741 2531 2314 2253 2172 2068 1986 1917 1829 1782 1808 1788 1760 1714 1685 1592 1510 1492 1482 1472 1508 1603 1754 1984 2284 2629 2929 3119 3191 3196 3177 3143 3118 3087 3036 2950 2889 2863 2820
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1340 1504 1667 1804 1911 2012 2004 1940 1893 1779 1707 1676 1560 1478 1372 1268 1203 1186 1211 1267 1318 1329 1348 1410 1432 1415 1392 1376 1370 1377 1381 1347 1366 1447 1492 1401 1167 856 557 351 254 201 163 128 96 66 38 14 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 2 6 6 1 34 55 114 212 316 416 530 555 660 689 726 784 849 889 863 835 885 978 1065 1137 1208 1283 1342 1420 1492 1572 1658 1740 1817 1874 1897 1921 1973 1812 1981 2175 2254 2267 2263 2253 2271 2311 2326 2329 2401 2499 2529 2436 2491 2603 2672 2785 2907 3011 3118 3320 3407 3382 3287 3162 2873 2525 2315 2035 1813 1809 1810 1738 1682 1751 1917 2021 1994 1971 1928 1879 1832 1784 1740 1696 1636 1663 1657 1631 1640 1715 1874 2077 2333 2511 2557 2493 2333 2151 2121 2143
1234 1452 1692 1879 1980 2019 1951 1889 1772 1609 1546 1590 1578 1522 1418 1314 1246 1237 1275 1344 1411 1422 1420 1437 1425 1415 1411 1398 1382 1385 1380 1334 1288 1225 1113 934 707 475 289 189 142 113 90 68 47 28 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 4 18 41 74 133 230 282 382 462 525 580 641 732 732 718 762 852 937 999 1056 1133 1202 1283 1369 1467 1530 1561 1607 1655 1631 1532 1589 1606 1740 1865 1920 1932 1957 1976 2007 2033 2059 2119 2205 2281 2359 2304 2300 2301 2325 2466 2613 2622 2618 2767 2908 3003 3118 3173 3122 2995 2852 2670 2455 2394 2346 2257 2208 2285 2441 2488 2455 2381 2289 2193 2083 1986 1879 1758 1644 1638 1656 1654 1665 1692 1714 1752 1912 2087 2226 2341 2352 2169 2116 2044
1174 1393 1658 1877 2008 2025 1987 1846 1696 1600 1581 1611 1617 1567 1458 1366 1305 1307 1365 1437 1476 1457 1422 1410 1421 1468 1479 1403 1276 1176 1099 998 874 729 571 434 328 228 157 110 76 52 34 19 9 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 1 4 19 59 96 149 226 319 399 448 576 646 708 729 775 851 925 992 1057 1141 1206 1299 1393 1443 1456 1478 1504 1447 1312 1353 1427 1485 1528 1519 1498 1575 1607 1637 1679 1739 1800 1850 1920 1994 1975 1922 1898 1857 1778 1882 1957 1947 1957 2039 2128 2290 2604 2889 3060 3063 3040 2956 2904 2835 2788 2758 2757 2811 2833 2804 2719 2627 2531 2383 2266 2151 2024 1856 1734 1716 1711 1587 1666 1743 1767 1793 1844 1922 1981 2087 2121 2133 2099
1175 1351 1592 1819 1986 2001 1909 1781 1717 1698 1685 1679 1683 1601 1512 1436 1382 1385 1434 1470 1454 1406 1371 1403 1488 1550 1472 1238 967 758 625 526 427 329 243 179 132 91 65 40 23 12 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 1 10 24 54 101 181 299 346 434 516 639 709 748 815 907 990 1052 1146 1202 1274 1345 1381 1392 1389 1363 1265 1185 1153 1141 1146 1111 1027 1080 1183 1223 1237 1253 1318 1500 1565 1611 1672 1719 1688 1625 1612 1555 1567 1525 1510 1525 1547 1558 1643 1882 2200 2451 2536 2564 2628 2725 2681 2741 2764 2770 2853 2932 2941 2865 2800 2742 2648 2549 2464 2364 2230 2105 2030 1983 1736 1772 1855 1857 1817 1754 1855 1853 1896 1956 2026 2077
1246 1372 1552 1748 1948 1948 1828 1774 1779 1766 1698 1621 1605 1613 1583 1532 1480 1441 1418 1408 1415 1387 1349 1417 1501 1449 1212 883 594 398 289 221 170 125 84 53 36 24 13 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 1 8 25 51 91 178 259 335 404 515 618 693 784 897 979 1048 1132 1192 1240 1276 1288 1288 1307 1207 1097 1068 1105 1136 1046 949 915 937 957 954 938 932 952 1038 1092 1194 1320 1453 1509 1480 1508 1489 1392 1321 1334 1378 1391 1401 1444 1522 1640 1731 1800 1846 1855 1828 1858 1947 2050 2126 2260 2454 2663 2645 2766 2821 2805 2749 2691 2630 2542 2445 2359 2284 2160 2107 2064 1999 1915 1804 1832 1841 1848 1862 1908 1972
1364 1447 1576 1793 1953 1905 1748 1635 1578 1573 1581 1481 1415 1558 1635 1621 1547 1473 1444 1468 1511 1404 1290 1257 1190 1009 746 488 289 171 108 70 48 32 15 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 2 6 14 31 55 87 138 200 268 342 432 527 615 729 857 926 999 1069 1133 1181 1184 1151 1118 1107 1018 962 984 1072 1199 1169 1031 900 829 789 756 726 712 705 689 707 790 932 1088 1210 1281 1360 1392 1363 1304 1281 1284 1283 1298 1269 1284 1308 1329 1364 1416 1472 1381 1305 1284 1315 1441 1568 1543 1493 1916 2378 2541 2583 2628 2655 2688 2665 2618 2590 2574 2533 2452 2341 2210 2114 2014 1936 1885 1877 1887 1920 1967
1499 1546 1616 1749 1870 1820 1669 1571 1544 1514 1420 1340 1400 1591 1694 1662 1574 1518 1515 1518 1474 1279 1082 895 697 499 330 196 105 59 33 16 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 1 6 13 20 30 48 82 132 182 237 302 381 474 580 645 734 809 873 935 998 1055 1045 1021 987 959 932 921 936 970 1064 1072 979 828 711 652 624 598 581 557 536 552 605 680 769 872 977 1076 1142 1165 1163 1143 1110 1085 1058 1019 988 975 979 982 988 1063 1125 1113 1058 1056 1106 1139 1114 1195 1455 1732 1885 1952 2043 2167 2315 2373 2426 2527 2653 2736 2700 2618 2532 2429 2325 2225 2135 2061 2000 1987 1987
1639 1648 1678 1735 1710 1616 1579 1553 1486 1381 1280 1276 1434 1630 1721 1685 1613 1558 1492 1396 1226 993 752 523 326 181 99 54 28 15 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 1 5 11 14 14 22 45 87 133 183 238 293 352 432 496 540 584 631 684 746 801 817 828 829 830 838 848 845 828 856 854 813 729 638 579 541 508 477 445 434 448 471 498 540 597 667 748 808 831 827 801 793 761 726 698 680 672 670 654 646 691 761 841 895 920 958 1058 1195 1213 1235 1354 1489 1512 1433 1526 1588 1705 1870 2049 2228 2320 2542 2650 2676 2656 2603 2520 2438 2315 2203 2124 2054
1781 1728 1639 1517 1448 1479 1520 1498 1395 1268 1251 1339 1479 1612 1679 1682 1610 1451 1220 1001 786 555 355 205 103 44 21 10 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 2 4 6 2 3 12 32 59 87 115 145 162 191 230 266 295 321 356 407 448 475 503 533 555 569 582 585 583 589 591 582 552 505 468 442 413 386 366 357 355 358 363 383 415 450 478 499 519 520 483 471 450 419 388 395 417 425 422 435 461 465 499 585 651 724 880 1186 1468 1565 1612 1648 1596 1428 1317 1292 1396 1477 1519 1759 1974 2227 2385 2499 2603 2651 2655 2638 2565 2454 2345 2252
1906 1829 1626 1417 1315 1436 1536 1541 1480 1402 1382 1440 1504 1553 1667 1683 1475 1113 761 491 270 142 77 46 27 12 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 1 5 11 17 20 27 32 30 33 49 69 80 99 125 148 157 155 181 223 249 260 279 301 320 332 337 342 339 332 330 322 313 304 296 293 289 283 287 300 312 318 318 326 327 305 288 275 260 245 248 262 265 265 281 303 320 343 378 433 505 539 736 1111 1417 1627 1761 1779 1751 1676 1602 1591 1583 1548 1706 1822 1925 2031 2165 2355 2498 2624 2747 2716 2545 2382 2288
2019 1946 1719 1570 1515 1588 1667 1704 1701 1653 1538 1500 1534 1647 1675 1451 1014 601 323 168 79 38 19 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 1 0 1 2 1 1 0 1 6 10 15 22 23 18 26 43 63 71 87 110 131 144 154 179 196 210 223 233 241 248 253 252 246 239 235 233 232 228 230 242 247 240 226 214 210 208 203 196 201 204 208 218 234 254 282 331 398 442 543 747 969 1260 1503 1661 1776 1876 1924 1841 1864 1870 1869 1838 1808 1850 1917 1986 1993 2325 2476 2357 2232 2100 1958
2088 2015 1868 1782 1757 1775 1802 1806 1768 1692 1529 1519 1588 1543 1259 816 413 193 90 42 18 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 3 7 9 16 29 46 59 68 82 100 118 133 147 162 178 193 206 211 211 213 217 212 211 211 219 226 226 219 208 208 212 203 191 192 197 195 197 207 223 244 279 333 402 493 647 767 1018 1247 1421 1517 1534 1688 1626 1663 1718 1712 1714 1826 1854 1753 1702 1653 1853 2066 2087 2091 2065 1946
2109 2025 1938 1886 1874 1876 1886 1849 1716 1603 1535 1572 1460 1111 646 268 91 45 18 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 1 2 7 16 28 32 41 51 62 73 82 93 113 130 148 162 171 182 201 202 208 216 217 219 221 220 211 210 216 223 217 208 204 199 199 195 203 222 252 298 352 369 565 771 970 1149 1300 1414 1321 1305 1331 1325 1282 1238 1309 1478 1524 1517 1534 1553 1620 1692 1745 1964 2023 1913
2027 2004 1970 1951 1955 1894 1841 1767 1516 1409 1411 1286 960 540 210 61 21 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 17 21 23 27 34 42 47 56 67 79 94 108 122 136 153 163 172 175 181 190 195 193 190 194 201 207 211 209 206 197 193 188 189 199 221 266 329 427 586 743 901 1069 1207 1344 1333 1268 1214 1154 1054 928 897 938 1034 1130 1232 1347 1500 1597 1618 1693 1703 1610
2020 1976 1942 1964 1942 1762 1620 1593 1358 1270 1080 648 336 145 40 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 14 15 18 24 30 32 39 47 53 59 67 80 91 102 115 127 137 143 149 153 153 157 161 169 177 184 191 192 188 186 184 186 192 196 228 305 438 584 711 830 1003 1117 1164 1151 1130 1110 1079 989 832 714 662 643 691 825 988 1179 1387 1533 1594 1628 1650
1959 1901 1900 1945 1858 1628 1362 1115 807 538 216 104 56 22 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 4 8 10 11 15 22 25 29 37 42 44 47 51 58 67 75 82 90 101 109 113 115 117 121 125 132 139 147 158 162 166 170 176 183 193 193 209 256 340 488 685 787 944 1034 1037 989 959 960 941 830 733 667 613 560 553 621 810 941 1079 1194 1238 1311 1592
1929 1845 1885 1883 1678 1278 818 460 264 156 61 24 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 12 18 21 24 30 37 40 39 43 47 54 61 66 71 77 82 89 89 91 94 96 100 108 113 121 129 137 145 154 164 178 193 200 210 229 289 436 584 699 844 943 985 992 958 921 780 650 583 541 505 502 550 639 782 886 959 970 894 879 1092
1782 1761 1763 1646 1337 887 449 181 82 38 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 12 16 17 19 23 29 33 35 40 47 54 58 60 62 65 71 78 81 84 89 94 101 106 111 116 121 128 138 152 169 185 194 201 211 229 256 325 418 580 749 875 951 978 943 861 685 555 485 448 443 497 602 721 815 848 855 900 821 774 813
1769 1660 1544 1314 948 510 150 40 18 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 1 4 6 7 7 10 15 20 23 30 36 44 49 51 52 53 57 64 71 77 83 90 95 100 104 107 109 112 120 127 145 166 177 180 181 189 214 230 258 327 464 625 761 880 906 820 720 601 487 414 409 495 616 745 842 866 815 738 730 734 729 730
1477 1331 1164 897 511 168 64 16 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 0 0 0 0 0 0 0 0 0 0 0 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 1 4 10 15 16 22 27 32 36 40 42 45 51 59 66 73 80 88 93 98 100 102 102 104 113 118 128 139 145 146 146 151 170 187 204 237 309 416 522 640 693 656 582 495 409 357 463 650 816 906 917 861 758 701 678 672 684 708
1264 1018 683 422 216 54 21 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 0 0 1 4 8 7 10 13 16 21 29 34 38 43 50 57 65 74 81 89 98 105 108 105 103 111 117 119 118 115 116 120 125 131 144 165 185 204 233 292 348 391 421 411 380 340 373 550 779 894 898 870 795 706 646 612 606 627 687
844 496 259 129 59 17 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 3 5 9 18 23 27 32 37 44 53 63 70 78 89 99 105 104 107 114 123 125 118 111 108 110 117 122 131 144 151 150 150 175 202 216 232 255 270 276 370 547 692 746 774 788 744 655 570 531 533 560 629
373 163 81 44 15 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 3 7 11 15 19 24 31 38 46 53 60 68 80 89 94 102 113 123 127 125 118 112 108 109 116 127 137 140 136 128 130 137 147 162 182 197 221 300 467 682 740 738 727 672 571 482 472 485 515 555
113 48 19 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 10 12 17 22 28 34 42 52 62 73 81 91 103 116 125 128 124 119 112 108 111 118 131 141 142 134 122 116 117 116 135 161 189 223 300 504 605 674 690 620 490 407 411 437 468 503
38 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 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 2 4 7 11 14 17 20 30 44 55 64 74 87 101 115 120 118 116 114 114 119 125 125 134 140 131 113 116 122 123 138 167 187 179 215 327 460 589 661 634 509 390 376 393 417 445
9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 1 1 0 0 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 1 2 4 6 9 10 11 15 25 35 44 55 67 81 98 104 106 109 115 120 125 130 130 134 136 127 100 121 133 143 157 170 180 159 167 224 325 455 590 669 640 494 422 415 426 436
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