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 8 9 9 9 8 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 8 8 9 9 8 8 8 8 9 9 10 10 10 10 10 11 12 13 13 13 14 13 13 13 12 12 12 12 12 11 10 10 10 10 11 11 12 12 12 12 13 12 10 7 7 8 12 16 19 19 17 15 13 13 13 13 13 13 13 14 13 13 12 11 10 9 9 8 8 8 7 7 7 7 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 10 11 11 11 11 10 9 8 6 6 5 5 nan
nan 9 9 10 9 8 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 10 10 10 9 9 10 11 12 13 13 13 12 12 12 11 11 11 12 11 10 9 9 8 9 10 11 12 12 12 12 12 12 11 9 7 7 8 11 15 18 19 17 16 15 14 14 14 14 14 14 14 14 13 13 12 11 11 10 9 9 8 8 7 7 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 7 6 5 5 5 5 5 6 5 5 4 5 5 6 6 6 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 10 10 11 11 11 10 9 9 8 8 7 nan
nan 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 7 8 8 8 7 7 7 8 8 8 8 7 7 6 6 7 7 8 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 9 10 12 12 12 12 13 12 12 10 9 7 5 6 10 14 16 16 15 15 14 14 13 13 13 14 14 14 14 14 14 13 13 12 11 11 10 9 9 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 5 5 6 6 6 6 7 7 7 7 6 6 6 6 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 9 9 10 10 10 10 10 10 10 10 9 nan
nan 8 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 8 7 6 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 7 7 8 8 8 8 8 8 8 9 9 9 9 9 8 6 6 7 9 10 11 11 12 12 12 11 11 10 8 5 3 4 8 11 13 13 13 13 12 12 12 13 14 14 15 15 15 15 15 14 14 14 13 13 12 12 12 11 10 10 9 9 8 8 7 7 7 7 7 6 6 6 6 7 7 6 6 7 7 7 7 7 6 7 7 7 8 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 nan
nan 8 8 8 8 9 8 8 7 7 7 8 8 8 7 7 7 7 7 8 8 9 8 8 7 8 9 9 10 10 8 8 9 11 12 12 11 11 11 11 10 10 10 10 11 12 12 11 11 10 8 7 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 7 6 5 6 7 8 9 9 10 11 11 10 10 10 9 7 4 2 3 5 7 10 11 12 11 11 11 12 14 15 15 15 16 16 16 16 16 16 15 15 15 15 15 14 14 13 12 12 11 10 9 9 8 8 8 7 7 7 7 7 7 6 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 7 8 8 8 8 7 6 6 7 6 6 6 6 6 7 7 7 7 7 7 8 8 8 9 9 9 8 9 9 8 8 8 8 9 9 9 10 10 10 10 11 10 nan
nan 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 8 9 10 10 9 9 8 9 9 10 11 11 11 12 12 12 12 11 11 11 10 10 10 10 11 11 12 12 12 11 9 8 7 6 6 6 5 5 5 6 6 6 6 8 8 8 8 8 7 6 4 5 6 7 7 8 9 10 10 10 9 9 9 8 6 4 2 2 3 5 8 9 10 10 10 11 13 14 15 15 16 16 16 16 16 16 16 16 16 16 16 16 16 15 15 14 14 13 12 12 11 10 10 9 9 8 8 8 7 7 7 8 8 9 10 10 10 10 10 9 9 9 8 8 8 7 6 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 nan
nan 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 11 11 11 11 10 10 10 11 12 12 11 11 11 12 12 12 11 11 10 11 11 10 10 10 10 10 11 10 9 7 6 6 6 5 5 5 5 5 6 5 5 6 7 8 9 9 8 6 5 4 5 6 6 7 8 9 10 10 9 9 9 8 7 6 5 3 2 2 3 5 7 7 8 9 11 13 13 14 14 15 15 15 16 16 15 15 15 15 15 15 15 16 16 15 15 15 15 14 13 12 12 11 11 10 10 10 9 8 8 9 10 10 9 9 9 9 9 9 9 9 8 8 7 6 6 6 6 7 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 10 nan
nan 10 9 8 8 9 8 8 8 8 8 8 8 9 10 11 11 11 11 10 10 11 11 12 12 12 11 10 11 11 10 9 9 9 11 11 11 11 10 10 11 11 10 9 7 7 8 8 8 7 6 6 5 5 5 5 5 5 5 6 5 5 4 5 6 7 9 9 8 6 4 5 6 7 7 8 9 10 11 10 9 9 8 8 7 6 5 3 2 1 1 2 2 3 6 9 11 12 12 12 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 15 15 15 15 14 14 13 12 12 12 12 13 12 11 11 11 11 10 9 9 9 9 10 10 11 10 10 9 8 8 7 8 8 9 10 11 12 12 12 12 12 13 13 13 13 13 13 13 13 11 10 10 8 7 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 nan
nan 9 9 8 8 8 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 10 11 10 10 9 10 10 10 9 8 7 6 7 7 7 6 5 5 5 5 5 6 5 5 5 6 6 5 4 4 5 6 8 9 9 8 6 5 6 7 8 8 9 10 11 11 10 10 9 8 7 7 6 6 4 3 2 -0 -2 -1 2 6 9 10 10 11 11 12 12 13 13 14 14 14 14 14 14 14 13 13 13 13 12 13 13 13 12 12 12 12 12 14 14 14 13 13 12 11 10 10 10 11 11 11 11 11 11 11 12 12 12 11 11 11 10 9 8 8 8 8 8 8 9 10 10 10 11 11 11 10 10 9 8 7 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 nan
nan 8 8 8 7 8 9 10 11 11 10 10 10 9 9 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 8 7 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 5 5 5 6 8 10 10 8 7 6 7 8 8 9 10 10 10 10 11 11 10 9 8 8 7 7 6 5 2 -2 -4 -2 2 5 7 8 8 9 10 11 12 13 14 15 15 14 14 15 14 14 14 13 12 11 11 10 10 10 10 11 11 12 13 14 14 14 14 13 11 10 10 11 12 12 12 12 11 11 12 13 14 14 13 12 10 9 7 5 4 4 4 4 4 4 6 7 8 9 8 7 7 7 7 6 6 6 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 nan
nan 8 8 8 7 8 9 10 11 10 10 10 10 10 9 9 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 8 8 9 9 9 9 8 8 8 8 8 7 7 6 6 7 7 7 7 7 6 6 7 7 6 6 6 7 8 8 7 7 7 6 6 6 7 9 10 10 9 8 8 8 8 9 9 9 9 10 11 12 12 10 9 9 9 8 8 7 5 2 -2 -3 -2 0 3 6 7 8 9 11 13 14 16 16 16 16 16 16 16 16 16 15 15 14 12 11 10 10 10 10 11 12 13 14 14 15 15 14 13 12 11 12 12 11 11 11 11 11 12 13 14 14 13 12 9 7 5 4 3 3 3 3 4 4 5 7 8 8 8 8 7 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 7 8 8 8 nan
nan 8 9 9 9 8 9 9 10 9 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 9 8 8 8 8 9 8 8 7 7 7 7 7 7 7 6 7 7 8 8 8 7 6 7 7 7 7 7 7 7 8 9 8 8 8 8 7 6 6 7 9 9 9 9 9 8 8 8 9 9 9 9 11 12 12 11 10 10 10 9 9 8 8 6 3 1 -2 -2 -1 3 7 8 10 12 14 16 17 18 18 18 19 19 19 19 19 19 18 18 17 15 14 13 13 12 12 13 13 14 15 16 16 16 15 14 12 11 11 11 10 10 10 11 11 12 13 13 13 11 10 8 6 6 6 6 6 6 6 6 6 7 7 8 8 9 9 9 9 8 8 9 9 9 9 8 8 8 8 8 9 8 8 8 8 7 7 8 8 nan
nan 9 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 8 7 7 6 6 6 6 7 7 7 7 7 8 9 8 8 7 8 8 8 8 8 8 7 8 8 9 9 8 8 7 7 6 6 7 8 9 9 9 9 8 9 9 9 9 9 10 12 12 11 11 10 10 10 10 9 9 9 7 5 2 -0 -2 1 5 9 12 14 16 17 18 19 20 21 21 22 22 22 21 21 22 22 22 21 20 19 18 16 15 15 15 15 15 16 17 17 16 15 13 11 10 10 10 10 10 11 11 11 12 13 13 12 11 11 10 9 8 8 8 8 7 7 6 6 6 6 7 8 9 9 9 9 8 9 9 8 8 8 8 8 9 9 9 8 8 8 7 7 7 8 8 nan
nan 11 11 10 11 11 11 10 10 9 9 8 9 9 9 9 9 10 11 11 10 9 10 10 10 10 9 9 8 8 8 9 9 9 9 9 8 7 6 6 6 6 7 7 7 6 6 7 7 7 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 8 9 9 9 9 9 8 8 7 7 9 10 11 11 11 10 10 10 11 10 10 10 10 8 7 4 1 0 3 8 13 16 17 18 19 19 19 21 22 23 23 23 23 23 23 24 24 25 26 26 24 22 20 19 17 16 16 17 18 18 17 16 15 13 12 11 12 12 12 12 12 12 11 12 12 12 12 12 12 11 9 8 8 7 7 6 5 4 4 4 5 6 7 8 8 8 8 8 8 7 7 7 8 8 9 8 8 7 7 6 7 7 7 8 7 nan
nan 12 11 11 12 12 11 11 10 9 8 8 8 8 8 9 10 11 11 10 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 8 7 6 6 6 6 6 6 6 6 5 6 6 6 6 7 7 8 8 7 7 8 7 7 7 8 9 9 8 7 6 5 5 5 6 7 8 9 9 9 8 6 5 6 7 8 9 9 10 10 11 11 11 11 11 11 10 10 10 8 5 2 0 3 10 15 17 17 17 17 17 18 19 21 22 22 23 23 23 24 25 26 28 29 28 26 24 22 21 20 19 19 20 20 20 19 19 17 16 15 15 16 15 15 15 14 13 12 12 11 11 10 10 9 8 7 6 5 5 4 4 3 3 3 3 4 5 6 6 7 7 7 7 7 7 7 8 8 8 7 6 6 5 6 6 7 7 7 8 nan
nan 11 11 12 12 11 11 10 9 8 7 7 7 8 8 9 11 11 11 9 9 8 8 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 8 7 7 6 6 7 7 7 6 6 6 6 7 7 7 7 7 8 7 7 7 8 7 7 8 8 9 9 8 7 5 4 4 4 5 6 8 9 9 8 6 5 5 5 7 7 8 8 9 10 10 10 9 10 10 10 10 10 9 8 4 -0 -1 4 10 13 14 13 13 13 14 15 16 17 18 19 19 20 21 22 24 25 26 26 26 25 24 23 23 22 22 22 22 23 23 23 22 20 20 20 20 20 20 19 17 16 14 13 11 9 8 7 6 6 5 4 4 4 4 4 3 2 2 3 3 3 4 5 6 6 7 7 7 7 8 8 8 7 6 5 5 5 6 7 7 8 8 8 nan
nan 11 12 12 11 11 10 10 8 8 7 7 7 8 8 9 11 11 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 9 9 9 9 9 8 8 7 7 8 8 7 7 7 8 8 8 8 8 8 8 9 8 7 8 8 8 8 8 9 9 9 9 8 6 5 5 4 4 4 5 7 7 7 7 6 5 5 6 7 7 7 8 9 9 8 7 8 8 9 9 9 8 8 5 0 -4 -2 3 7 8 9 8 9 9 10 11 12 13 13 13 14 15 16 17 19 20 21 21 21 21 21 21 21 21 21 21 22 23 23 22 22 21 20 20 21 22 22 20 19 17 16 14 12 9 7 6 5 5 4 4 4 5 5 4 4 3 4 4 4 5 6 6 6 7 7 8 8 8 8 8 7 6 6 6 6 7 7 8 8 8 8 nan
nan 12 13 13 12 11 10 10 9 8 8 7 7 8 8 9 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 8 7 7 6 6 5 4 4 4 5 6 6 7 6 6 6 6 6 6 7 8 8 7 6 6 7 8 9 9 8 8 6 2 -3 -6 -4 -0 2 4 4 5 6 7 7 8 8 8 8 8 9 10 11 12 13 13 14 14 15 16 16 16 16 16 16 17 18 18 17 17 17 16 16 17 18 19 20 20 20 20 20 18 15 12 10 9 8 8 8 7 6 6 6 5 5 5 6 6 7 8 8 8 8 8 8 8 8 8 7 6 6 7 7 7 7 8 8 8 8 8 nan
nan 13 13 13 12 11 11 10 9 8 7 7 7 8 9 9 9 9 8 8 7 7 7 7 7 7 8 8 9 9 8 7 7 7 7 7 7 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 9 9 10 10 9 8 8 7 8 9 10 10 9 8 8 8 7 7 7 7 6 6 5 4 4 5 6 7 7 7 7 7 6 6 6 7 7 7 7 6 7 8 9 9 9 9 8 6 1 -4 -6 -5 -3 -1 1 1 2 4 5 6 7 7 7 6 6 6 7 8 8 9 9 8 9 10 10 11 11 11 11 11 11 11 10 10 9 9 9 10 11 14 15 17 19 20 21 21 20 18 17 15 14 13 13 12 9 7 7 7 7 7 8 9 9 10 9 9 9 9 8 8 8 7 7 7 7 8 8 8 7 7 7 8 8 9 nan
nan 12 12 12 11 11 10 10 9 8 7 8 8 8 9 10 10 9 8 8 7 7 7 7 7 7 7 8 8 8 8 7 6 6 6 6 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 7 8 8 9 9 9 9 8 8 9 10 10 10 8 7 7 7 7 7 7 7 7 7 6 5 5 5 5 6 6 7 7 8 7 6 6 6 7 7 7 7 7 8 9 10 10 10 9 9 6 2 -2 -4 -5 -3 -1 -1 -1 -0 2 5 7 7 7 7 6 6 7 7 7 8 8 7 7 7 8 8 8 8 8 8 7 7 6 4 4 4 4 5 6 7 9 11 13 15 16 17 18 19 19 19 17 17 16 15 13 11 9 9 9 9 9 10 10 10 10 9 9 8 7 8 8 8 8 8 8 9 9 8 7 7 7 8 9 9 nan
nan 11 10 10 10 10 9 8 8 7 8 9 8 8 8 9 10 9 8 7 7 7 7 7 6 7 7 7 8 8 7 7 6 6 6 7 7 8 8 9 9 9 9 8 8 7 8 8 8 8 7 7 7 7 7 8 9 9 9 9 10 11 10 9 7 7 6 6 6 6 7 7 7 7 7 6 6 5 5 5 5 6 8 8 7 7 6 6 7 7 8 7 7 8 9 10 10 10 9 10 10 8 5 2 -0 0 1 -1 -3 -4 -2 3 7 8 8 8 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 6 5 4 3 2 2 2 2 3 4 5 6 7 8 9 10 10 14 16 16 16 16 16 15 15 14 12 10 10 9 9 9 9 9 9 8 7 7 6 7 8 8 8 8 9 9 9 8 8 8 9 9 9 8 nan
nan 10 9 9 8 8 8 8 7 7 8 8 8 7 7 8 9 9 8 7 6 6 6 6 6 6 6 7 7 8 8 9 8 8 9 9 9 8 8 8 8 8 8 8 8 7 7 7 8 8 7 7 6 6 6 7 7 8 9 10 10 9 7 7 6 6 6 6 6 6 7 7 7 7 7 7 6 6 5 5 5 5 7 8 8 7 6 6 7 8 8 7 7 7 8 9 10 9 9 10 11 11 10 8 6 6 6 3 -1 -5 -7 -2 3 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 6 6 4 3 2 2 2 3 3 3 3 4 4 5 5 5 6 9 10 10 10 11 12 12 13 13 12 10 9 9 9 8 8 8 8 7 6 6 5 6 6 7 7 8 9 9 9 9 9 11 12 11 9 7 nan
nan 9 9 9 9 9 8 7 7 6 6 7 7 7 8 8 9 8 8 7 7 6 6 6 7 6 6 6 7 8 9 10 10 10 10 9 8 7 6 6 7 8 8 8 8 7 7 7 8 8 7 6 5 4 5 5 6 7 9 10 10 8 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 6 7 8 7 7 7 7 8 8 7 7 8 8 9 9 8 8 9 10 10 11 10 10 9 8 7 4 -3 -7 -6 -2 1 4 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 5 4 4 4 3 3 3 3 3 4 4 4 4 4 5 6 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 7 6 5 5 5 5 5 5 6 7 8 8 8 10 11 11 10 9 8 nan
nan 10 9 9 9 8 8 7 7 6 6 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 7 7 7 8 9 9 8 8 8 8 7 7 7 7 7 8 9 9 8 8 8 8 8 8 8 6 5 4 4 5 5 6 8 9 9 8 7 6 5 6 7 8 8 7 7 6 7 7 7 7 7 7 7 7 6 6 6 7 8 7 7 7 8 8 8 7 7 7 8 8 7 7 8 8 9 9 9 10 10 9 9 8 6 2 -3 -5 -6 -4 -1 2 4 5 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 5 4 4 5 5 6 7 8 8 8 8 9 9 8 8 7 6 5 5 4 4 4 4 5 5 6 7 8 9 9 8 8 8 nan
nan 10 9 9 8 7 7 7 7 7 7 7 7 7 7 9 10 10 10 9 9 10 9 9 9 9 8 8 8 7 7 7 6 6 6 6 6 7 7 8 8 9 9 8 8 8 9 9 9 9 9 8 7 6 5 5 5 6 6 7 7 7 6 6 6 6 7 8 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 8 7 6 3 -0 -4 -6 -5 -2 1 4 5 6 6 5 4 3 3 4 4 4 4 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 5 3 2 2 3 3 4 6 7 8 8 9 9 9 9 8 7 6 6 5 5 4 4 3 4 4 5 5 6 6 6 6 7 nan
nan 9 9 8 7 7 7 7 7 7 7 6 6 5 6 8 9 10 10 9 9 9 10 10 9 9 9 9 8 7 6 6 6 6 6 6 6 7 7 8 9 9 8 8 8 8 9 9 9 9 9 8 8 7 6 6 6 6 5 5 5 5 5 6 7 7 7 7 7 7 7 6 5 5 5 5 5 6 6 6 7 7 7 7 8 8 8 8 8 8 8 7 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 7 7 8 7 5 2 -2 -4 -5 -3 1 4 5 6 5 4 3 3 3 4 4 4 4 5 6 6 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 6 7 8 8 7 6 5 3 3 2 2 3 4 5 6 7 8 8 9 9 9 9 8 7 7 6 6 5 5 5 5 5 5 4 4 4 5 6 nan
nan 8 7 7 7 7 7 7 7 6 6 5 5 4 5 7 8 9 9 8 8 8 9 9 8 9 9 9 9 8 8 7 7 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 7 6 5 5 4 4 5 6 7 7 6 6 7 8 8 7 6 6 5 5 5 5 5 6 6 6 6 7 7 7 8 8 8 8 8 7 6 5 4 5 6 6 6 7 7 8 7 7 7 7 7 7 7 8 8 8 6 4 1 -2 -4 -2 1 4 6 5 4 3 3 4 4 5 5 5 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 5 6 6 7 7 7 7 7 6 5 4 3 3 4 4 4 5 6 7 7 8 8 9 9 8 8 8 7 7 6 6 6 5 5 5 4 4 4 5 nan
nan 7 6 6 6 7 8 8 7 7 7 6 5 5 6 7 8 9 8 7 7 8 8 7 8 8 9 9 9 9 9 8 8 8 8 8 7 7 6 7 7 8 8 7 7 7 8 9 10 10 9 8 8 8 8 8 8 7 6 6 5 5 5 6 6 6 6 6 7 8 8 8 7 7 6 6 5 5 5 5 5 5 5 6 6 6 6 7 8 8 7 6 5 4 4 4 5 6 6 6 7 8 8 7 7 7 7 7 7 7 8 8 8 7 6 3 1 -0 1 4 6 6 3 1 1 3 5 6 7 7 7 7 7 6 6 6 6 6 6 7 7 6 6 6 7 7 7 6 6 6 6 6 7 7 7 7 7 6 6 5 5 5 4 4 4 5 5 6 7 8 8 8 8 8 8 8 8 7 7 6 6 6 5 5 4 5 nan
nan 8 7 7 8 8 8 9 9 9 8 7 7 7 7 8 8 9 8 8 7 8 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 6 6 6 6 7 6 6 6 7 9 10 11 10 9 9 8 8 8 8 8 8 8 7 7 6 6 6 6 5 5 5 6 6 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 6 8 8 7 6 5 4 4 5 5 5 4 4 6 7 8 8 7 7 7 7 7 7 7 8 8 8 7 7 6 5 5 6 7 7 3 -2 -3 -0 5 7 8 8 8 8 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 7 7 8 8 8 8 8 8 7 6 6 5 5 5 5 5 6 7 7 8 8 8 8 8 8 7 7 6 6 6 6 6 5 5 nan
nan 9 9 9 9 9 10 10 10 9 8 7 7 8 8 9 9 9 9 8 7 7 6 6 7 7 7 7 7 8 8 8 7 6 6 6 7 7 7 6 6 6 6 6 6 7 8 9 10 11 11 10 9 9 9 8 8 9 9 9 8 8 7 7 6 5 5 4 3 3 3 5 6 7 7 7 7 7 6 6 6 6 6 6 5 5 6 7 8 8 7 5 5 5 5 5 5 5 3 3 5 7 8 8 7 6 6 7 7 7 7 7 8 8 8 8 8 8 7 7 8 6 2 -3 -6 -1 4 6 8 8 9 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 9 9 9 9 9 8 8 7 7 6 6 5 5 5 6 6 7 8 8 8 8 8 7 6 6 6 7 7 7 7 6 nan
nan 9 9 9 8 9 10 11 10 10 9 8 8 9 8 8 8 8 7 6 5 5 5 6 7 7 8 8 8 8 8 8 8 7 7 8 8 8 8 7 6 6 6 7 7 8 9 10 10 11 10 9 9 8 8 8 8 9 9 9 8 8 8 8 8 7 5 4 3 3 3 4 5 6 7 7 7 7 7 7 7 7 7 7 7 6 7 7 8 8 7 6 5 5 5 5 5 5 3 3 4 6 7 8 6 6 6 6 6 6 6 7 8 9 9 8 7 7 7 7 7 4 -1 -5 -3 2 5 7 8 8 9 9 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 9 9 9 9 9 8 8 8 8 7 7 6 6 6 6 6 7 8 9 9 9 8 7 6 5 6 6 7 8 8 7 nan
nan 9 8 8 8 9 9 10 10 10 10 10 10 9 8 7 6 5 3 2 3 4 5 6 7 8 9 9 10 9 9 8 8 8 9 9 9 8 7 6 6 7 7 7 7 8 9 10 11 11 10 9 8 8 7 7 8 8 8 8 8 8 8 9 9 8 6 4 3 3 5 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 7 8 8 8 8 7 7 6 6 6 5 4 4 4 5 6 6 5 5 5 5 5 6 6 7 8 8 8 8 7 6 6 6 5 1 -4 -5 0 5 7 8 8 9 9 9 9 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 8 9 9 8 8 8 8 8 9 8 8 7 6 6 5 6 7 8 9 10 10 10 9 8 7 6 6 7 8 9 8 8 nan
nan 8 8 8 9 9 9 9 9 10 10 10 9 9 8 7 5 3 1 2 3 5 6 7 8 9 9 9 9 9 9 8 9 9 10 9 9 7 6 6 6 6 6 7 7 8 9 10 11 11 11 10 9 8 8 8 8 8 9 9 8 8 8 8 9 9 7 4 2 4 6 7 8 7 7 7 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 8 7 6 6 6 5 5 4 4 5 4 4 3 3 4 5 5 6 6 7 8 8 7 6 6 5 5 3 -1 -4 -2 4 8 9 8 8 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 8 8 8 8 8 8 8 8 9 9 9 8 7 6 5 5 5 6 8 10 11 12 12 11 10 9 9 8 8 9 10 10 9 nan
nan 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 5 4 4 5 6 7 8 8 8 8 8 8 8 7 8 8 8 9 9 9 8 7 7 8 7 7 6 7 7 7 8 9 10 11 11 11 10 9 9 9 9 9 9 9 9 8 8 8 9 9 7 4 4 5 7 8 9 8 8 8 8 8 7 7 7 7 7 6 6 6 7 7 8 9 10 10 9 7 6 6 6 6 6 6 5 5 5 4 4 3 3 3 4 5 6 7 7 8 7 7 6 5 5 4 2 -0 -0 4 9 11 9 7 7 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 6 5 5 6 8 10 12 13 14 14 13 12 11 11 11 12 12 12 12 nan
nan 9 10 10 9 10 10 10 10 9 9 9 9 9 8 7 6 6 8 9 9 9 9 8 8 7 7 6 6 6 7 7 8 8 8 8 8 9 9 9 8 8 8 8 7 6 6 8 9 10 10 11 11 11 10 10 9 9 9 9 9 8 8 8 8 8 7 6 6 7 9 10 10 9 9 8 8 8 7 7 8 8 8 7 6 6 6 7 8 9 10 9 7 6 5 5 6 7 7 7 7 7 7 6 5 4 3 4 5 6 6 7 7 7 7 7 6 6 6 5 4 3 5 9 12 12 9 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 7 6 5 5 6 7 9 11 14 15 15 15 14 12 11 12 13 13 14 13 nan
nan 9 9 9 9 10 10 11 11 10 11 11 10 8 6 5 6 7 9 10 10 9 9 8 8 7 7 6 7 7 7 8 8 8 8 8 9 10 10 10 9 9 9 9 8 6 6 7 7 8 9 10 11 12 11 10 9 9 9 9 9 9 9 9 9 8 9 9 9 9 10 11 11 10 9 8 8 8 8 8 8 9 8 8 7 7 7 7 8 8 8 8 7 7 6 6 7 7 7 7 8 8 8 7 6 5 4 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 10 10 9 8 6 5 4 5 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 8 7 6 5 5 6 8 10 13 15 16 16 15 13 12 12 12 13 14 13 nan
nan 8 8 8 9 9 10 11 11 11 11 9 7 5 4 5 7 8 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 10 11 11 10 8 6 6 6 6 7 8 9 11 11 11 11 10 10 10 9 10 10 10 10 9 9 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 6 6 6 6 6 6 7 7 7 6 6 7 7 7 7 7 8 7 7 6 7 8 8 7 5 3 2 2 5 7 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 9 9 8 8 8 9 9 9 9 9 9 8 7 6 6 6 6 8 10 12 14 16 17 16 14 12 12 11 12 13 12 nan
nan 7 7 8 8 9 9 9 9 10 9 6 4 3 4 6 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 9 9 10 10 10 9 8 7 7 6 6 6 7 8 9 10 10 11 11 11 9 9 9 10 10 9 8 8 9 9 9 8 8 8 10 10 10 9 9 8 8 9 8 7 6 6 6 7 7 8 8 8 7 7 7 7 6 6 6 6 7 7 7 6 5 5 6 7 7 7 7 7 7 8 8 7 7 7 7 7 7 6 7 6 6 6 6 5 4 3 2 0 -2 1 6 8 9 10 11 11 11 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 10 9 9 8 9 9 9 9 9 9 8 8 7 7 6 6 6 8 9 11 13 14 16 16 14 13 11 10 11 11 10 nan
nan 7 7 7 8 8 8 7 6 7 5 4 3 5 6 8 9 10 10 9 9 8 8 8 9 9 9 8 8 9 9 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 6 6 7 8 8 9 10 11 10 9 8 8 9 9 8 8 8 8 8 7 7 7 9 10 10 10 10 10 9 9 9 8 7 7 6 6 7 7 8 9 9 8 8 8 7 7 7 6 6 7 7 7 6 6 6 7 8 8 8 8 8 8 9 9 9 8 8 8 7 7 6 6 6 6 6 3 -1 -2 -2 -1 -2 -3 2 6 9 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 7 6 6 7 8 9 11 12 13 14 14 14 13 11 10 10 9 9 nan
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nan 11 10 10 10 9 9 9 9 9 8 8 8 9 9 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 6 6 6 7 7 7 7 8 8 8 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 11 11 10 9 8 8 8 9 9 9 9 10 11 11 10 9 7 6 6 6 6 7 7 8 8 8 7 7 7 8 9 9 9 8 8 7 8 9 11 11 11 10 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 11 11 11 11 11 11 12 12 13 14 15 15 14 12 12 11 12 12 12 12 13 13 14 16 17 18 18 16 15 15 16 18 20 21 22 22 20 18 15 13 13 12 11 11 11 10 10 10 11 11 12 12 12 10 8 8 9 12 17 20 22 23 24 24 24 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 9 8 8 8 9 9 9 9 10 10 10 9 8 8 7 7 8 8 9 9 8 8 8 7 7 7 9 11 12 12 11 9 8 8 9 10 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 11 12 13 15 16 17 16 15 14 13 11 10 10 11 12 12 11 12 12 13 13 12 10 8 7 7 8 10 12 13 13 13 14 15 16 15 13 12 11 11 11 10 11 11 12 12 11 10 9 9 10 14 18 21 24 25 25 25 25 nan
nan 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 8 8 8 8 9 9 9 9 10 10 9 10 10 10 10 11 11 11 10 10 10 10 9 9 10 10 10 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 10 11 11 11 12 11 10 9 9 10 12 13 13 12 11 11 11 11 12 12 12 11 10 10 10 10 10 10 10 11 11 11 10 10 10 10 12 12 13 12 11 11 11 11 11 11 12 13 14 14 15 15 15 14 13 11 10 10 10 10 10 10 10 10 10 11 12 12 10 7 4 2 1 1 2 4 5 8 11 12 12 12 11 11 11 11 10 10 11 11 11 11 10 10 10 11 13 15 17 19 20 20 20 20 nan
nan 9 9 9 9 9 9 9 9 9 9 9 8 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 11 11 10 9 9 9 9 9 9 10 10 10 10 10 10 9 8 7 7 7 7 8 10 11 12 11 11 12 12 12 13 13 13 13 12 11 11 12 12 12 12 12 12 13 14 14 13 12 11 11 10 10 10 10 10 9 10 10 10 10 10 9 9 10 12 13 14 13 12 12 11 12 12 12 12 12 12 12 12 12 12 12 11 11 9 8 7 7 8 9 9 10 11 12 14 16 17 15 12 9 6 5 4 6 7 8 8 8 10 11 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 12 12 13 13 nan
nan 10 10 9 9 9 9 9 9 9 9 8 7 6 6 5 5 5 5 5 5 5 6 6 6 6 7 7 7 6 6 6 5 5 6 6 6 7 7 7 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 10 9 7 6 5 6 7 8 10 12 13 13 12 12 13 13 12 13 13 12 11 11 12 12 12 12 11 11 12 13 14 14 14 12 11 10 10 10 9 9 9 9 9 9 9 10 10 9 9 9 10 11 12 12 12 12 12 12 12 12 12 12 11 10 10 10 9 9 10 9 9 8 6 5 5 6 8 10 11 11 12 13 15 17 19 20 20 18 17 18 19 19 19 17 16 17 18 18 18 16 15 14 13 12 12 12 13 15 17 17 15 13 12 12 10 7 6 6 7 nan
nan 10 10 10 9 8 8 8 8 8 8 7 6 6 6 5 6 6 6 7 7 7 7 7 8 8 8 9 9 8 8 7 6 6 6 6 7 7 7 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 10 10 9 7 5 4 3 4 6 8 9 11 12 12 11 11 12 13 12 12 11 10 10 10 11 12 12 12 12 12 12 12 12 12 12 12 11 10 10 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 10 9 9 8 8 8 9 9 8 8 7 7 7 7 8 10 12 12 11 11 12 14 16 19 21 22 22 23 24 25 25 25 25 25 25 25 26 25 23 20 18 16 15 14 15 18 20 20 18 15 13 12 9 6 3 2 3 nan
nan 10 9 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 9 9 10 10 11 11 10 9 7 6 6 7 7 7 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 9 7 5 4 3 2 2 4 5 7 8 8 8 8 8 9 10 11 12 11 10 9 9 9 10 12 12 13 13 12 12 11 11 11 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 11 11 10 10 10 11 12 13 12 11 11 12 13 14 16 17 18 18 18 19 19 20 21 22 24 25 26 28 27 25 24 23 21 19 16 15 16 18 18 17 15 13 11 7 4 1 1 nan
nan 8 8 7 6 5 5 5 5 5 5 5 6 7 7 7 8 8 8 9 9 9 9 9 9 9 9 10 11 12 12 10 9 8 8 8 9 8 8 8 8 9 9 9 8 8 9 9 9 9 10 10 10 10 11 10 10 10 11 11 12 11 8 4 1 0 1 3 4 6 7 8 8 8 7 6 6 7 8 9 10 9 8 8 8 8 9 10 12 12 13 12 12 11 10 10 9 9 9 9 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 11 12 13 12 12 12 12 13 14 13 12 12 12 12 12 12 12 12 12 12 12 12 13 14 15 16 17 19 21 23 24 25 25 25 22 17 14 13 16 19 20 20 17 15 11 6 3 2 nan
nan 8 7 7 6 6 5 5 5 5 5 5 6 7 7 7 8 8 8 9 9 9 8 8 8 7 6 6 7 10 11 10 10 11 11 11 10 9 8 8 9 9 9 9 8 8 9 9 9 9 9 9 10 10 10 11 11 11 11 12 11 9 4 -0 -2 1 5 8 9 9 9 9 8 8 8 7 8 8 8 8 6 4 3 4 5 7 9 10 11 12 11 10 9 8 8 9 9 9 9 9 10 10 9 9 9 10 10 10 10 11 10 10 10 9 8 7 6 7 7 7 7 7 9 10 11 11 11 12 12 12 12 11 11 11 10 10 11 11 11 11 12 12 14 14 15 15 15 14 13 12 12 11 11 11 11 11 11 10 10 10 10 10 11 12 12 12 14 16 18 19 20 21 21 20 17 16 18 20 22 22 21 19 15 10 6 4 nan
nan 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 8 8 7 6 4 3 2 3 4 6 8 10 13 15 14 12 10 9 8 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 11 11 12 12 12 11 7 3 0 0 5 10 12 12 11 10 9 8 8 8 8 9 9 8 7 4 1 1 1 3 5 7 9 10 9 9 8 7 7 7 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 8 7 7 7 7 7 7 7 7 9 10 11 12 12 13 13 12 12 12 11 11 10 10 10 11 11 11 11 11 12 15 16 17 18 16 14 13 12 11 11 11 11 11 12 12 11 10 9 9 10 10 10 11 11 11 12 12 13 15 16 17 18 18 17 16 15 16 17 18 18 17 14 11 9 nan
nan 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 6 6 5 3 2 1 1 2 3 5 8 13 16 16 13 11 9 8 8 9 9 9 10 10 9 9 8 8 7 7 7 9 10 11 12 12 12 12 11 9 6 4 4 8 12 13 14 14 13 12 10 9 8 8 8 8 8 7 6 4 4 4 4 4 5 5 5 6 7 7 8 7 7 7 7 7 7 8 9 9 9 9 10 10 10 10 10 10 9 7 6 5 5 7 8 8 9 10 11 13 13 12 11 11 12 12 12 12 11 11 11 10 10 10 11 11 10 10 10 12 14 16 17 17 15 14 13 12 11 10 10 10 11 12 12 11 10 9 9 9 9 10 10 10 11 11 11 11 12 13 13 14 14 14 13 11 10 10 12 13 15 14 13 11 nan
nan 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 6 6 6 6 5 4 3 2 2 3 3 3 3 6 10 14 15 14 12 9 8 8 8 9 9 9 9 8 8 8 7 6 6 6 8 10 11 12 12 12 12 12 11 10 8 7 10 12 14 16 17 16 14 12 10 9 9 8 8 8 8 8 8 8 8 7 6 5 4 3 4 6 7 7 8 7 6 5 5 6 7 7 8 9 10 10 10 10 10 9 9 7 6 6 6 7 8 9 10 12 14 15 15 14 13 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 12 13 14 14 13 13 12 11 10 10 9 9 9 11 11 11 11 10 9 9 9 9 10 10 11 11 11 11 11 12 12 12 12 13 13 12 10 9 9 10 11 12 12 12 nan
nan 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 7 6 6 6 5 4 3 3 4 5 4 3 2 3 7 11 14 14 13 11 9 9 8 8 8 8 7 7 7 8 8 7 6 6 8 10 11 11 11 11 11 12 12 11 9 9 9 11 13 14 14 13 12 12 12 11 10 10 9 9 9 9 10 10 10 9 8 7 6 6 6 6 5 4 4 5 5 5 6 7 7 7 8 9 10 10 10 10 9 8 8 8 9 10 11 10 10 11 13 14 15 15 14 13 13 13 12 11 10 10 10 9 10 10 10 9 9 9 9 9 9 10 10 10 11 11 12 12 12 11 9 9 9 9 8 9 10 11 12 12 11 11 10 10 10 9 10 10 10 10 10 10 10 10 10 10 12 13 13 12 11 10 10 10 10 10 11 nan
nan 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 7 7 6 4 3 3 4 5 6 5 3 2 1 4 8 12 14 14 12 10 10 9 8 8 7 7 7 7 8 8 8 7 7 8 9 9 9 10 10 10 11 11 11 10 9 9 9 9 8 8 8 10 11 12 12 12 11 11 11 10 10 10 10 10 10 10 9 9 9 9 7 5 3 2 3 4 5 7 8 8 8 8 8 8 9 9 9 8 8 9 10 11 11 11 11 11 12 13 13 12 12 12 12 13 12 12 10 9 9 8 8 8 9 8 8 8 8 8 8 9 9 9 8 9 9 9 10 10 9 9 9 9 9 9 9 10 11 12 12 12 11 11 10 10 10 9 9 10 10 10 10 9 7 7 8 10 11 12 12 11 11 10 9 9 10 10 nan
nan 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 8 6 3 2 3 5 7 8 6 4 2 0 1 5 10 13 14 13 12 11 10 9 8 8 7 7 7 8 9 8 8 8 8 8 8 9 9 9 10 10 11 11 11 10 9 7 4 3 5 8 10 12 12 12 13 13 12 12 11 11 11 11 11 11 11 11 11 12 12 11 10 8 7 6 5 5 5 6 7 8 8 7 6 7 7 7 8 8 9 9 9 9 8 8 10 10 10 9 9 9 10 10 11 11 11 10 9 9 9 9 9 9 8 9 9 9 9 9 9 8 8 8 8 7 8 9 9 9 10 10 10 9 10 10 10 12 12 12 12 11 10 10 10 10 10 10 11 11 11 11 9 8 8 8 9 10 10 11 11 10 10 10 9 10 10 nan
nan 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 8 6 4 4 5 7 9 9 8 6 4 1 1 4 8 11 14 15 14 12 10 9 9 9 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 10 11 11 11 10 8 6 4 5 9 12 14 14 12 12 13 13 13 13 13 13 13 13 13 13 13 14 14 15 15 15 14 13 11 10 8 6 4 4 5 6 7 7 7 6 6 6 7 7 7 7 6 6 7 9 10 10 9 8 8 8 9 8 8 8 8 9 9 11 12 12 11 10 10 11 11 12 11 10 9 8 7 6 6 6 7 9 9 10 10 10 10 10 10 10 10 12 12 12 12 11 10 9 9 10 11 11 12 12 12 12 12 13 13 13 13 11 10 10 10 10 10 10 10 10 10 nan
nan 8 8 8 8 9 9 9 10 10 10 10 11 11 11 11 11 10 10 10 10 9 8 7 7 8 10 11 11 10 9 7 3 1 3 7 12 15 16 15 13 11 10 9 9 8 9 10 10 9 9 9 9 8 8 8 9 9 9 9 10 10 11 11 10 8 7 8 11 15 17 16 14 13 12 12 12 13 14 15 16 15 16 16 16 17 17 18 19 18 16 15 14 14 13 11 9 8 6 5 5 6 7 8 8 8 7 7 7 7 7 7 9 11 12 12 11 9 9 9 9 9 9 8 7 8 9 11 13 13 13 12 11 10 10 10 11 10 9 8 6 5 5 5 6 8 9 10 11 11 11 10 10 10 10 11 12 13 13 13 12 11 11 10 10 11 12 13 13 12 13 14 16 18 19 18 15 13 11 10 10 10 10 10 11 12 nan
nan 8 8 8 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 9 8 9 10 11 12 12 12 12 9 5 2 4 7 13 16 17 15 13 11 10 9 9 8 9 9 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 7 8 10 14 15 15 14 12 12 11 11 11 12 13 14 15 16 16 17 17 17 18 18 18 17 17 16 16 16 16 16 16 14 12 10 8 7 8 9 10 10 10 9 9 9 9 10 12 13 13 12 10 9 9 10 10 11 10 9 8 9 10 12 12 11 10 9 9 9 8 8 8 8 7 6 5 5 5 7 8 9 10 11 12 12 12 11 11 10 11 12 13 14 15 15 14 13 12 12 11 11 12 13 13 13 13 14 16 18 19 20 18 16 14 12 11 11 11 11 12 12 nan
nan 8 8 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 10 9 8 8 9 10 12 13 13 13 10 6 4 4 7 13 17 17 15 12 10 8 8 8 8 8 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 8 7 7 8 10 12 12 11 11 10 10 10 10 10 11 11 12 13 13 14 14 14 15 15 15 15 15 16 17 18 18 19 20 20 20 19 17 15 14 13 12 11 11 11 10 10 9 10 11 11 11 9 8 7 8 9 10 11 11 11 10 9 10 10 10 9 8 7 8 9 9 8 7 7 6 6 6 6 7 8 10 11 11 12 13 13 13 12 12 11 11 12 13 14 15 16 16 16 15 13 12 12 11 12 12 12 13 13 13 14 15 17 18 19 18 17 15 14 13 13 12 12 11 nan
nan 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 10 9 8 8 8 10 12 13 13 12 10 6 4 4 7 13 17 17 15 11 7 6 7 8 9 9 10 11 11 10 9 8 8 8 9 9 9 10 10 11 10 9 8 8 8 9 10 10 10 10 9 9 8 9 9 10 11 11 11 11 12 12 12 12 11 11 11 12 13 14 15 16 17 18 19 20 20 20 20 20 19 17 14 12 11 10 10 9 10 10 10 9 8 6 6 7 8 9 10 11 11 10 10 9 10 9 8 7 7 8 9 9 9 9 9 8 7 7 8 10 11 11 11 11 12 13 14 14 13 13 12 11 11 11 12 13 15 16 16 15 13 11 11 10 10 11 11 11 11 12 12 13 15 17 18 19 19 19 17 16 15 14 13 11 10 nan
nan 7 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 8 8 7 7 7 9 10 11 11 11 9 6 4 5 9 15 17 17 15 10 7 7 8 9 10 11 11 12 12 11 10 9 8 9 9 9 10 10 11 11 10 10 9 9 9 10 10 10 10 10 8 7 6 7 9 10 11 12 12 12 12 12 12 11 10 10 10 10 11 12 12 13 14 15 15 15 15 16 17 17 16 14 13 11 10 10 9 9 9 10 10 9 8 7 8 8 9 10 10 10 10 10 9 10 10 10 10 9 10 10 10 10 10 10 11 11 11 12 13 13 14 13 12 12 13 13 13 13 13 13 12 12 11 11 11 12 14 14 14 12 10 9 9 9 9 9 9 10 10 11 12 14 16 19 20 21 20 19 19 17 16 14 13 11 10 nan
nan 8 8 8 8 8 7 8 8 9 9 10 10 10 10 10 9 9 9 8 7 5 5 5 5 6 8 9 10 10 9 8 7 6 8 13 17 18 17 15 11 9 9 10 10 11 11 12 12 12 11 10 9 9 9 10 10 11 11 11 10 10 11 11 10 10 10 10 10 10 9 7 5 5 7 8 10 11 12 13 13 13 13 12 11 10 10 9 9 10 11 12 13 13 13 12 12 11 10 10 10 10 9 10 10 10 9 9 9 9 9 10 10 9 9 8 8 8 9 9 9 10 10 10 11 11 12 13 13 13 13 12 12 12 12 13 14 15 15 14 13 13 13 13 12 12 12 11 11 12 13 13 12 11 11 11 11 11 11 11 10 9 9 8 8 9 9 9 10 10 11 12 14 16 19 22 22 22 20 19 18 16 15 15 14 13 nan
nan 9 9 9 9 8 7 7 7 8 9 9 10 9 9 9 9 9 9 9 8 6 5 4 5 6 7 8 9 9 8 8 7 8 12 17 19 18 15 13 11 10 10 11 10 10 10 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 12 12 11 11 11 11 11 10 8 7 6 6 8 9 11 12 14 14 14 14 13 12 11 10 10 10 10 11 11 13 14 14 13 12 10 8 6 6 6 6 6 7 8 8 7 7 8 8 8 8 7 7 6 5 4 4 5 6 7 8 10 11 13 13 14 14 15 15 14 14 14 14 14 15 15 14 13 11 10 11 11 11 11 11 10 9 10 11 13 14 14 13 11 11 10 9 9 9 10 9 9 8 8 9 9 10 10 11 11 11 12 14 17 20 22 22 21 20 19 18 18 17 17 17 nan
nan 10 10 10 10 9 8 8 8 8 8 9 9 9 9 9 8 9 10 10 10 9 8 7 6 6 7 7 7 8 7 7 7 10 14 19 19 16 12 10 10 11 11 11 10 9 9 10 10 11 11 11 11 10 11 11 12 11 11 12 12 12 12 12 11 11 11 11 10 9 8 7 7 8 10 11 13 15 16 16 15 14 13 12 12 11 10 10 10 10 11 12 14 14 14 14 13 11 9 7 6 5 4 4 4 4 4 3 4 4 4 4 3 2 2 1 1 1 1 1 3 4 7 9 11 12 13 13 14 14 14 14 14 15 15 15 14 12 10 8 8 9 10 10 10 10 9 8 8 11 14 15 15 14 12 11 9 8 9 9 10 9 9 9 9 10 10 11 11 11 11 11 12 13 15 18 21 22 22 21 20 19 19 18 18 17 nan
nan 10 10 10 10 9 9 9 8 8 8 9 9 8 8 8 8 9 10 11 11 10 10 9 8 7 7 7 7 7 7 6 8 10 14 17 16 13 11 10 11 12 12 11 9 8 9 9 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 8 7 7 9 11 13 15 17 18 17 15 14 13 12 11 10 10 9 9 10 10 12 14 15 16 17 18 18 17 14 11 9 7 5 4 3 2 2 1 1 1 2 2 2 2 2 3 3 3 3 3 3 4 4 6 8 10 12 12 12 12 12 13 13 14 13 11 10 8 8 8 9 9 10 10 9 8 7 8 11 14 16 15 13 12 10 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 12 12 12 13 16 19 21 21 20 19 18 17 17 16 15 nan
nan 9 8 9 9 9 10 10 9 9 8 8 8 8 7 7 8 9 10 11 11 11 10 10 9 8 7 7 7 7 7 7 8 10 13 14 13 12 12 13 13 12 11 9 7 7 8 10 11 12 12 12 12 11 11 10 10 10 9 9 9 10 10 11 11 12 11 11 10 8 7 6 7 8 11 14 17 19 19 17 15 13 12 11 10 10 9 9 9 9 10 12 13 14 16 18 20 21 20 20 18 15 13 11 10 9 8 7 6 5 5 6 7 8 9 10 10 10 11 11 10 8 6 5 5 7 10 12 12 12 11 12 12 13 13 11 10 9 8 8 9 9 9 9 9 9 8 8 10 12 13 14 12 11 10 9 9 8 8 9 9 10 10 11 11 12 12 13 13 14 14 13 13 13 13 15 17 19 20 19 17 16 15 14 14 13 nan
nan 8 8 8 9 9 10 10 10 10 9 9 8 8 7 8 8 9 10 10 11 11 11 11 10 9 8 7 7 7 7 7 8 9 11 12 13 14 16 15 13 11 9 7 6 7 9 10 11 12 12 12 12 11 10 9 9 8 7 7 8 9 10 12 12 12 11 10 9 7 6 5 6 7 10 14 18 20 19 17 14 12 11 11 10 10 9 9 9 9 10 11 12 12 13 14 16 17 18 20 20 20 19 18 18 18 17 16 15 15 14 14 14 15 15 16 16 17 17 16 15 14 12 11 11 13 13 12 11 12 12 12 13 13 12 11 9 9 9 9 9 9 9 9 9 9 9 11 12 13 12 10 9 9 9 9 9 8 9 9 10 11 11 12 12 13 14 15 16 16 16 15 14 14 15 15 16 17 18 18 16 15 14 13 12 12 nan
nan 8 8 8 9 9 10 10 10 10 9 9 8 8 8 8 9 9 9 9 10 11 11 12 11 10 8 8 7 8 8 8 8 9 10 12 14 16 17 15 12 10 7 6 7 8 10 11 12 12 11 11 11 11 10 10 9 8 7 8 9 10 12 13 12 11 10 9 7 6 4 4 5 7 10 13 18 20 18 16 14 11 11 11 11 10 10 9 9 10 10 10 11 11 11 11 12 13 14 17 18 19 21 22 23 24 24 24 24 23 22 21 20 20 19 19 20 20 19 18 16 15 14 14 15 15 13 11 10 11 11 12 13 13 11 10 9 9 9 9 10 9 9 9 9 10 11 14 14 14 11 8 7 7 8 9 9 9 9 9 10 11 12 12 13 14 15 16 17 17 17 16 16 15 15 15 15 15 15 16 16 15 15 14 13 13 nan
nan 9 9 9 9 8 8 9 10 10 10 9 9 8 8 9 9 10 9 8 8 9 10 11 11 10 9 8 7 8 8 9 8 8 10 13 15 18 17 14 12 10 8 8 8 10 11 12 12 11 11 11 12 13 12 11 10 9 10 10 11 12 13 13 11 10 8 6 4 3 3 4 6 7 10 14 17 18 17 15 13 11 11 11 11 11 10 10 10 10 10 9 9 9 10 10 10 10 11 13 14 16 18 20 22 23 25 26 26 25 24 23 22 20 20 19 19 19 18 17 15 13 12 13 14 14 13 11 11 11 12 13 13 12 11 10 9 9 10 10 10 10 10 10 10 11 13 14 14 12 9 6 7 8 9 10 10 10 10 10 11 12 12 12 13 14 15 16 16 16 15 15 15 14 14 13 12 12 13 13 14 15 15 15 15 16 nan
nan 9 9 9 8 7 7 8 9 10 10 10 9 9 9 9 10 10 10 8 8 8 8 9 10 10 9 8 8 8 8 9 8 8 10 13 16 18 17 14 12 11 9 9 9 10 12 12 12 11 10 11 13 13 12 11 10 11 12 13 13 14 14 13 11 9 6 3 2 2 3 5 7 9 11 14 16 17 16 14 12 11 11 11 11 11 10 10 9 9 9 8 8 9 10 10 10 10 10 11 11 12 14 16 18 20 21 22 22 21 21 20 18 17 17 16 16 15 15 15 13 12 12 13 15 15 15 14 14 14 15 15 14 13 12 11 10 10 11 11 10 10 10 10 10 12 12 12 11 8 5 6 8 11 12 11 10 10 10 11 11 12 12 12 12 13 13 14 13 13 12 11 11 11 11 10 10 10 10 11 13 13 14 14 15 16 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
2196 2219 2245 2287 2346 2400 2416 2363 2280 2145 2007 1957 1996 2054 2069 2046 2027 1983 1920 1842 1787 1760 1741 1714 1705 1723 1758 1807 1823 1796 1708 1544 1365 1164 1005 915 826 735 670 727 927 1100 1186 1084 919 763 587 385 211 133 113 114 112 103 102 103 100 99 95 95 99 110 124 132 137 145 159 184 200 229 284 361 464 585 707 805 833 794 824 905 1091 1374 1654 1965 2575 3066 3317 3435 3469 3433 3389 3370 3376 3423 3525 3649 3707 3693 3637 3547 3430 3324 3218 3190 3163 3115 3067 3113 3268 3428 3418 3106 2970 2927 2923 2880 2853 3004 3466 3331 3222 3313 3307 3225 3270 3378 2834 2669 2907 3104 2815 2355 2101 2081 2034 2017 2180 2142 2137 2200 2242 2215 2164 2075 2253 2255 2196 2140 2084 2007 1922 1831 1759 1687 1627 1577 1542 1532 1524 1508 1503 1511 1521 1533 1540 1539 1537 1550 1671 1618 1503 1393 1323 1321 1434 1677 1973 2167 2271 2341 2400 2420 2391 2446 2457 2438 2427
2233 2264 2305 2354 2396 2433 2438 2363 2257 2118 1983 1928 1975 2058 2081 2021 1948 1871 1808 1747 1698 1672 1652 1619 1598 1615 1657 1705 1717 1689 1611 1466 1305 1125 974 882 801 740 799 1010 1184 1226 1210 1142 982 752 499 280 141 97 98 113 136 154 179 192 181 160 144 135 128 125 126 128 131 135 144 157 176 199 230 285 370 480 599 715 817 905 1007 1136 1300 1552 1829 2018 2385 2695 2901 3032 3072 3076 3108 3151 3211 3279 3341 3397 3415 3417 3398 3323 3186 3044 2994 2996 2996 2986 3050 3259 3553 3803 4093 3687 3345 3112 2941 2810 2764 2953 3392 3208 3077 3119 3292 3387 3339 3508 3282 3189 3238 3361 3182 2821 2571 2646 2798 2750 2778 2734 2577 2454 2386 2215 1967 1822 1933 2048 2140 2279 2351 2321 2229 2081 1951 1855 1781 1723 1691 1686 1663 1630 1612 1604 1599 1585 1564 1550 1548 1549 1679 1732 1713 1622 1502 1390 1406 1560 1744 1966 2191 2343 2390 2387 2308 2344 2270 2218 2227
2335 2349 2350 2357 2376 2388 2365 2278 2177 2066 1972 1940 1981 2050 2065 1997 1902 1813 1738 1678 1639 1621 1608 1586 1589 1611 1644 1667 1660 1619 1552 1459 1339 1170 976 887 837 886 1079 1272 1328 1274 1129 945 737 525 337 204 143 138 159 184 221 244 238 210 181 161 153 131 112 99 93 93 96 98 104 118 124 125 134 159 212 301 404 512 653 814 979 1160 1347 1593 1890 2168 2473 2573 2648 2795 2870 2821 2850 3023 3095 3127 3223 3277 3296 3318 3332 3298 3215 3091 3015 2943 2893 2865 2893 3036 3252 3337 3384 3292 3135 2990 2887 2811 2800 3018 3284 3207 3081 3108 3278 3423 3473 3761 3869 3563 3206 3174 3275 3192 2991 3103 3386 3201 2925 2746 2678 2727 2787 2797 2578 2332 2159 2135 2326 2515 2560 2530 2461 2362 2264 2183 2110 2069 2049 1987 1889 1812 1755 1711 1680 1651 1613 1590 1589 1585 1638 1708 1755 1721 1619 1490 1450 1483 1581 1739 1945 2142 2260 2346 2345 2365 2290 2196 2134
2449 2392 2300 2275 2276 2255 2205 2129 2046 1976 1941 1951 2000 2056 2049 1989 1915 1837 1747 1663 1613 1598 1597 1584 1592 1621 1635 1634 1621 1594 1560 1529 1401 1210 1016 942 924 962 1123 1314 1308 1114 876 647 456 319 239 204 210 227 234 222 196 159 128 113 104 95 81 73 66 59 54 53 55 55 59 53 52 51 55 70 98 143 197 272 370 530 699 843 1012 1292 1635 1959 2370 2547 2664 2838 2982 2999 2959 2899 2879 3010 3156 3238 3267 3280 3278 3356 3375 3319 3212 3088 2981 2925 2901 2907 2977 2973 2910 2863 2814 2759 2715 2651 2679 2793 2880 2867 2895 3057 3256 3461 3696 3637 3422 3134 2993 3049 3221 3283 3178 3079 2935 2811 2717 2645 2683 2810 2913 2981 2964 2827 2707 2704 2699 2546 2716 2882 2830 2698 2603 2541 2468 2397 2349 2324 2173 2038 1937 1867 1821 1768 1715 1678 1659 1641 1633 1647 1687 1684 1623 1554 1483 1441 1449 1530 1660 1790 1970 2121 2223 2289 2306 2283 2218
2469 2364 2248 2200 2153 2093 2015 1959 1912 1891 1902 1939 1991 2054 2052 1996 1937 1867 1769 1675 1618 1589 1597 1594 1620 1622 1619 1633 1649 1641 1630 1578 1406 1220 1077 1046 1110 1213 1270 1255 1020 784 581 426 330 281 250 226 227 231 211 173 131 97 77 67 60 53 44 38 34 30 28 26 24 22 23 16 9 8 12 19 30 43 58 94 132 212 327 464 621 832 1072 1352 1754 2032 2230 2439 2619 2604 2500 2494 2543 2722 2949 3093 3138 3220 3149 3155 3203 3221 3199 3117 3023 3028 3062 3067 3067 3032 2984 2931 2876 2815 2759 2675 2645 2639 2665 2667 2672 2831 3024 3382 3636 3427 3288 3209 3063 3058 3267 3330 3186 3041 2936 2821 2695 2662 2744 2837 2959 3078 3116 3095 3062 3012 2929 2791 2742 2636 2775 2886 2822 2763 2680 2595 2520 2411 2312 2221 2125 2031 1925 1870 1817 1776 1743 1717 1689 1693 1676 1674 1658 1624 1561 1490 1440 1438 1479 1589 1773 1944 2077 2172 2235 2279 2266
2489 2415 2285 2146 2074 1991 1867 1840 1838 1855 1889 1932 1984 2039 2045 2013 1968 1909 1830 1743 1674 1611 1583 1584 1599 1600 1609 1653 1681 1621 1660 1566 1410 1269 1179 1146 1146 1114 967 797 635 510 404 331 294 273 243 206 187 178 143 102 72 53 44 40 34 29 23 19 16 14 12 11 9 6 4 2 0 0 0 2 3 5 9 19 25 43 85 154 241 353 489 672 914 1116 1274 1460 1683 1842 1882 2009 2173 2365 2517 2578 2635 2821 2880 2867 2852 2855 2876 2884 2868 2954 3069 3181 3265 3288 3253 3204 3156 3107 3051 2988 2917 2849 2818 2805 2733 2710 2801 3225 3344 3229 3138 3057 2980 3083 3365 3423 3315 3146 2966 2822 2717 2771 2878 2960 3083 3220 3323 3368 3354 3299 3237 3065 2931 2865 2889 2941 2912 2881 2846 2793 2676 2550 2470 2405 2299 2193 2101 2031 1962 1890 1843 1837 1799 1738 1718 1720 1723 1704 1659 1602 1539 1477 1458 1542 1679 1835 1979 2062 2120 2161 2197
2490 2355 2124 1997 1993 1979 1871 1836 1838 1863 1896 1924 1964 2029 2077 2084 2061 2045 1997 1902 1799 1662 1573 1549 1549 1550 1560 1616 1669 1558 1592 1530 1392 1226 1063 914 787 679 546 458 402 349 295 254 230 212 189 165 135 104 73 50 36 29 22 17 13 11 8 7 5 4 3 3 1 0 0 0 0 0 0 0 0 0 1 2 2 4 15 40 59 96 141 232 337 415 485 606 723 787 1042 1286 1464 1557 1540 1551 1722 1957 2126 2227 2336 2431 2504 2583 2617 2734 2901 3106 3306 3443 3462 3447 3425 3400 3370 3333 3265 3186 3135 3110 3045 2895 2883 3110 3177 3140 3117 3072 3024 3115 3293 3388 3367 3308 3294 3263 3068 3102 3166 3234 3315 3401 3481 3521 3494 3489 3419 3361 3278 3130 2986 2926 2906 2806 2690 2618 2564 2510 2479 2479 2438 2375 2304 2223 2136 2070 2041 2037 2009 1999 1973 1913 1863 1832 1794 1745 1695 1608 1556 1568 1628 1722 1934 2002 2048 2083 2097
2360 2171 1918 1898 1929 2010 1974 1918 1889 1890 1904 1926 1965 2028 2116 2136 2161 2171 2123 2013 1869 1718 1602 1569 1555 1535 1527 1561 1613 1543 1497 1359 1142 896 670 541 539 513 355 246 222 204 182 166 153 137 121 109 83 51 28 16 9 7 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 9 12 31 61 91 116 148 192 241 266 278 348 495 606 585 652 838 1021 1202 1360 1531 1717 1875 2028 2143 2304 2519 2780 3024 3211 3348 3460 3510 3568 3588 3564 3515 3468 3437 3405 3347 3166 3097 3150 3208 3210 3156 3085 3138 3200 3289 3303 3273 3322 3362 3389 3376 3333 3354 3413 3431 3429 3590 3662 3583 3430 3291 3198 3100 3007 2933 3001 3063 2969 2867 2765 2595 2444 2489 2594 2647 2588 2451 2335 2326 2296 2287 2252 2223 2176 2141 2111 2053 2004 1932 1897 1846 1772 1710 1681 1681 1631 1771 1892 1985 2021 2016
2297 2223 2027 1802 1926 2036 2044 1996 1942 1913 1914 1925 1952 1995 2041 2085 2157 2187 2140 2048 1927 1753 1608 1546 1528 1510 1476 1429 1364 1237 1067 873 676 500 367 329 407 387 230 117 97 98 93 86 77 67 61 55 39 17 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 2 7 14 23 30 34 48 55 64 83 118 163 208 254 333 406 491 555 647 822 987 1150 1337 1546 1761 1997 2263 2516 2718 2903 3131 3335 3475 3580 3660 3663 3621 3499 3286 3072 2994 3057 3169 3187 3188 3281 3335 3348 3421 3548 3629 3684 3541 3461 3447 3413 3424 3435 3353 3422 3464 3308 3261 3092 2949 2951 3069 3203 3303 3499 3489 3400 3304 3208 3107 2893 3005 3069 3040 2932 2794 2691 2625 2572 2525 2488 2463 2415 2322 2226 2161 2114 2055 2020 1972 1918 1886 1869 1824 1711 1702 1775 1873 1937 1951
2283 2335 2280 2013 2041 2070 2072 2053 2028 2009 1985 1934 1937 1935 1956 2012 2063 2064 1999 1876 1687 1483 1338 1256 1232 1214 1152 1031 867 693 532 412 315 237 178 142 139 133 91 55 42 39 35 31 27 19 18 17 11 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 2 1 2 3 1 2 9 28 55 78 92 118 144 170 186 210 268 362 456 626 824 1000 1156 1345 1681 1934 2152 2411 2677 2922 3140 3295 3147 3127 2827 2538 2386 2328 2299 2355 2537 2816 3053 3144 3084 3197 3624 3912 3901 3815 3680 3610 3578 3534 3622 3780 3750 3648 3476 3304 3152 3086 3162 3345 3278 3396 3467 3417 3304 3188 3043 3335 3268 3223 3116 3081 3176 3130 3117 2934 2869 2826 2816 2745 2570 2433 2325 2273 2224 2190 2168 2135 2095 2104 2108 2043 1956 1880 1851 1899 1938 1915
2238 2313 2334 2226 2136 2106 2114 2133 2143 2123 2057 1943 1888 1880 1905 1886 1788 1617 1404 1191 1007 881 794 738 704 670 614 518 399 303 221 167 132 112 100 83 59 45 29 17 8 5 5 5 4 0 1 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 3 10 21 26 33 39 39 28 26 56 119 183 308 460 576 646 743 1068 1226 1417 1662 1941 2201 2348 2160 1810 1836 1759 1617 1518 1466 1414 1497 1832 2201 2395 2378 2388 2626 2980 2919 2715 2744 2753 2884 3015 2972 3044 3028 3275 3336 3330 3398 3472 3436 3551 3449 3236 3050 2900 2741 2607 2528 2429 2448 2541 2534 2475 2624 2805 2767 2781 2807 2710 2648 2585 2435 2327 2334 2393 2425 2403 2370 2336 2260 2246 2275 2274 2235 2203 2177 2082 2060 2055 1998
2182 2245 2269 2219 2148 2115 2121 2115 2065 1970 1853 1763 1733 1725 1680 1508 1242 958 714 532 408 356 330 314 292 264 241 214 171 141 112 84 64 57 59 52 28 15 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 5 4 3 0 0 0 37 96 182 282 371 392 449 561 666 835 1104 1408 1588 1573 1298 1150 1130 1102 1034 985 989 1021 1213 1507 1700 1779 1870 2014 2178 2266 2074 1732 1548 1667 1773 1786 1879 1939 1808 1939 2155 2368 2629 2955 2841 2870 2703 2548 2385 2213 2096 2017 1906 1831 1848 1992 2076 2135 2477 2538 2415 2219 2178 2188 2207 2190 2027 2116 2298 2508 2595 2575 2534 2504 2439 2366 2331 2321 2300 2293 2301 2245 2213 2213 2182
2130 2200 2232 2227 2182 2137 2110 2022 1859 1684 1538 1438 1355 1237 1055 845 641 464 328 217 146 123 118 116 111 103 99 96 80 65 49 35 23 17 16 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 18 64 133 204 284 307 358 387 434 555 801 1132 1216 1219 1246 1247 1171 1044 947 908 890 908 1004 1073 1151 1336 1562 1777 1958 1962 1797 1568 1431 1407 1391 1312 1315 1285 1199 1209 1323 1500 1692 1957 1956 1926 1802 1677 1659 1679 1699 1677 1609 1556 1563 1746 2058 2298 2617 2659 2528 2403 2316 2244 2225 2200 2180 2285 2464 2629 2711 2665 2600 2574 2553 2510 2464 2420 2381 2376 2365 2342 2310 2303 2292
2088 2175 2220 2235 2218 2126 1974 1747 1477 1242 1076 952 823 685 536 404 306 226 155 99 71 55 43 36 32 29 30 33 27 19 11 5 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 44 119 185 220 241 276 340 389 436 585 857 963 1122 1360 1542 1454 1195 1046 938 866 821 861 931 984 1064 1237 1447 1621 1649 1574 1444 1329 1288 1244 1184 1171 1110 1040 1032 1100 1151 1297 1437 1484 1457 1369 1258 1243 1336 1410 1500 1561 1552 1549 1675 1918 2176 2367 2460 2490 2517 2545 2542 2468 2384 2341 2368 2477 2604 2689 2572 2522 2538 2572 2579 2563 2537 2508 2466 2425 2376 2343 2322 2306
2049 2134 2200 2211 2137 1920 1623 1313 1037 820 656 530 427 349 261 183 133 99 67 39 23 13 7 4 4 3 4 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 17 75 124 157 191 230 284 341 372 457 580 683 806 1020 1248 1322 1282 1235 1030 873 781 762 782 802 838 904 978 1108 1233 1308 1336 1331 1241 1162 1121 1096 1061 1021 1009 1133 1133 1191 1263 1321 1326 1267 1178 1142 1146 1195 1310 1398 1397 1387 1438 1546 1710 1820 1919 2068 2283 2478 2595 2553 2478 2434 2416 2389 2386 2374 2289 2328 2410 2487 2557 2560 2533 2467 2392 2351 2325 2304 2282 2243
2024 2088 2148 2055 1800 1463 1138 876 675 510 386 284 205 145 97 64 47 35 21 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 25 46 78 111 142 184 241 273 330 408 453 511 628 778 917 1041 1105 936 786 712 677 673 672 645 660 693 773 883 989 1077 1113 1078 1028 995 989 1013 1049 1039 1121 1155 1189 1259 1319 1290 1226 1166 1075 1010 992 1017 1049 1060 1056 1080 1123 1225 1324 1416 1555 1773 2064 2314 2409 2439 2456 2455 2374 2258 2140 2086 2184 2345 2406 2462 2385 2333 2176 2063 2074 2125 2172 2185 2171
1978 1926 1863 1621 1238 903 671 521 409 289 195 123 72 42 26 19 15 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 15 24 35 55 80 115 151 200 238 276 318 341 385 455 562 547 499 484 473 450 440 447 468 505 559 626 695 776 793 798 797 797 815 864 910 919 957 998 1058 1117 1119 1042 971 881 823 783 768 776 805 832 821 843 834 842 912 1028 1200 1376 1609 1849 2047 2184 2266 2230 2215 2185 2144 2117 2171 2339 2315 2151 1977 1918 1834 1735 1775 1917 2031 2059 2082
1656 1408 1194 912 613 420 329 271 204 123 67 34 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 5 5 14 28 46 60 62 67 68 69 103 151 185 194 189 200 199 215 241 275 311 347 393 449 487 504 512 517 523 525 530 549 550 553 597 675 739 734 712 701 675 634 615 630 634 650 661 658 634 597 568 586 610 890 1129 1269 1442 1681 1860 1918 1945 2038 2086 2133 2178 2204 2300 2330 2081 1793 1683 1678 1613 1682 1777 1861 1918 1967
953 663 483 320 193 130 112 100 72 35 12 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 1 3 5 3 3 4 5 11 24 37 46 37 45 54 68 85 106 130 144 160 184 207 230 243 247 252 246 227 223 225 249 277 314 375 412 448 512 559 563 563 554 538 526 495 463 447 437 442 394 487 722 825 908 1179 1503 1670 1720 1720 1741 1825 1944 2019 2095 2161 2241 2120 1929 1830 1789 1612 1680 1773 1829 1856 1893
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53 23 12 7 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 8 13 20 25 30 27 32 34 32 32 32 35 45 62 85 114 145 176 206 232 255 283 297 300 297 289 275 282 319 356 411 508 702 956 1135 1315 1476 1590 1668 1714 1684 1662 1598 1551 1529 1558 1629 1814 2041 2077 2008 1957 1927 1983 1920 1929
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