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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 7 7 8 8 8 8 8 8 8 9 9 9 9 10 11 12 12 10 8 9 10 8 7 7 9 10 10 9 8 7 7 7 8 10 12 12 10 8 8 9 11 13 13 12 11 10 10 9 8 6 4 3 4 8 12 15 16 15 12 10 7 4 4 5 7 9 9 9 9 8 7 8 8 8 8 9 9 10 10 9 7 5 3 2 4 6 8 9 9 10 10 9 9 8 8 8 8 8 9 8 8 8 9 10 11 11 11 11 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 9 10 10 9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 8 8 8 8 7 8 8 9 9 8 8 8 8 9 9 9 9 10 11 12 11 9 8 11 12 9 6 6 7 9 9 8 7 7 7 7 8 10 11 11 10 9 8 9 11 13 15 15 14 13 11 10 8 6 4 3 5 10 15 18 17 14 11 8 6 5 6 9 11 11 11 10 8 7 7 8 8 9 9 9 10 11 11 10 8 6 5 4 5 7 9 10 10 10 10 11 11 10 10 9 9 9 10 10 10 10 11 12 12 12 12 14 nan
nan 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 8 8 7 7 7 8 8 8 8 8 8 7 7 7 8 9 10 11 10 8 7 7 7 7 7 8 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 10 11 11 9 9 10 13 12 7 2 1 3 5 7 7 7 6 7 8 9 9 10 11 10 9 9 9 10 11 13 14 14 13 12 10 9 7 5 4 6 12 17 19 17 13 9 6 6 7 10 11 12 12 11 10 7 5 5 6 7 7 8 9 10 12 12 10 8 7 6 7 7 9 9 9 9 8 9 10 10 10 11 11 11 11 11 11 11 13 14 14 14 13 12 13 nan
nan 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 8 8 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 9 10 11 10 9 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 10 9 9 10 12 13 9 4 -2 -5 -3 1 5 7 7 7 8 8 9 9 10 10 10 9 9 8 8 8 8 9 10 11 11 10 8 6 4 3 5 9 14 15 14 10 8 7 8 10 12 11 10 8 8 8 6 4 4 5 5 6 6 7 10 13 14 11 8 6 7 9 10 10 9 8 7 6 7 8 9 10 11 12 12 12 12 12 12 14 16 16 15 12 10 9 nan
nan 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 8 8 9 9 10 10 9 8 7 8 8 8 8 8 8 7 8 9 10 10 10 9 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 10 11 12 10 6 1 -3 -6 -4 0 5 7 8 8 9 9 9 9 10 10 10 9 9 8 8 7 7 7 8 9 9 9 7 5 4 2 3 5 8 10 9 8 7 8 10 12 12 10 7 5 5 6 6 5 4 4 4 3 4 6 9 14 16 12 8 7 9 10 11 11 10 9 7 6 7 8 9 10 11 12 13 13 13 13 14 16 18 17 14 10 7 5 nan
nan 7 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 10 11 11 10 9 8 8 9 8 8 8 8 7 7 8 9 9 8 7 6 5 6 6 7 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 9 9 9 8 8 9 9 9 10 9 8 6 7 10 12 10 7 4 2 1 -0 -0 2 5 7 8 9 9 9 9 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 7 6 4 3 2 2 3 5 6 6 7 9 11 13 12 8 5 3 4 5 7 7 7 5 3 1 1 4 8 12 14 12 10 11 12 12 12 11 10 9 8 7 8 8 9 10 11 12 13 13 14 15 16 17 18 16 12 8 5 4 nan
nan 8 8 8 7 7 8 8 8 9 9 9 8 8 8 8 9 9 9 10 10 11 11 10 9 9 9 9 9 9 8 8 8 7 8 8 8 7 6 6 6 6 7 7 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 10 9 8 6 7 10 11 8 6 7 7 7 5 4 4 6 7 8 9 9 9 9 11 12 12 11 11 12 12 13 13 13 11 10 10 10 10 10 9 8 6 4 3 3 4 5 6 7 10 12 13 11 7 5 4 5 7 9 9 8 6 3 1 1 2 5 8 10 12 15 17 16 14 12 10 9 9 8 8 8 8 8 10 12 13 11 11 14 17 19 18 16 13 9 5 4 5 nan
nan 8 8 8 7 8 8 8 9 9 9 8 8 8 8 9 9 9 9 10 10 10 10 9 9 9 10 10 9 9 9 8 8 8 8 8 7 7 6 6 7 7 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 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 8 8 8 8 9 9 9 9 9 9 9 9 10 10 9 9 9 9 8 8 8 9 9 7 7 9 10 10 9 7 6 7 8 9 9 9 9 9 11 11 11 11 11 11 13 15 16 15 14 12 12 11 12 12 12 11 10 7 5 4 5 6 7 9 11 13 13 11 7 5 6 8 10 11 11 9 6 3 2 3 4 5 7 9 13 17 19 17 13 10 8 8 9 9 9 8 7 8 11 14 13 7 5 11 17 19 18 15 11 7 5 4 7 nan
nan 9 8 8 7 7 8 8 8 9 8 8 8 8 8 9 9 9 9 10 10 9 9 9 9 9 10 9 9 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 7 5 4 6 8 9 9 9 9 9 9 9 8 7 8 9 10 10 10 9 9 10 12 14 16 16 14 13 12 12 12 13 14 14 13 11 8 6 7 8 9 11 13 13 12 10 8 7 8 10 13 14 14 11 8 5 5 8 9 9 9 10 12 13 15 15 12 9 7 8 9 10 8 7 8 9 12 13 9 2 -0 5 13 17 17 14 11 7 5 6 10 nan
nan 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 9 9 9 9 9 10 9 9 9 9 8 8 8 8 8 8 8 8 7 8 8 8 9 9 9 8 8 8 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 8 8 7 7 8 8 8 8 8 8 8 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 11 11 11 11 11 10 10 10 9 8 7 7 5 4 3 3 5 6 8 9 10 10 9 7 6 6 7 8 9 9 8 7 7 8 10 11 13 12 11 10 10 10 11 11 12 14 14 12 10 8 8 10 12 13 13 12 10 8 7 7 7 9 12 14 15 12 9 8 10 13 13 12 9 7 7 8 10 13 12 10 9 10 10 9 7 6 8 11 11 8 4 -0 -1 2 8 13 16 15 13 10 8 9 12 nan
nan 9 8 8 8 8 8 9 9 9 8 8 8 9 9 10 10 10 10 10 9 9 9 9 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 11 12 12 13 13 13 12 12 12 12 11 10 7 4 5 7 8 8 7 6 5 5 7 9 10 9 6 5 6 7 8 8 8 7 6 6 6 7 8 8 7 6 6 7 8 8 9 10 11 12 12 11 10 10 11 12 13 12 10 8 7 6 5 5 6 8 10 10 9 10 11 13 14 14 11 7 3 3 5 8 11 12 12 13 13 11 7 4 3 6 9 7 3 0 -0 1 2 3 7 11 14 15 13 12 11 12 nan
nan 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 9 9 9 10 10 10 10 10 11 12 13 14 14 14 13 12 12 13 13 13 10 6 2 4 8 11 13 13 10 6 4 5 9 11 9 7 7 8 9 9 9 8 7 5 5 5 5 5 5 4 4 5 6 7 8 8 9 9 10 12 12 12 12 12 12 12 10 6 5 5 5 4 4 4 5 4 4 6 9 13 13 12 11 9 6 3 3 5 7 7 8 11 15 14 10 5 1 1 4 7 5 2 1 2 3 2 -1 -1 4 9 13 15 15 14 14 nan
nan 9 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 11 10 10 9 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 9 10 10 10 10 10 11 11 11 12 13 13 13 13 11 10 10 11 13 12 9 6 3 5 9 11 12 12 9 6 4 6 10 11 9 8 8 9 11 11 10 9 7 5 4 4 4 4 4 5 6 7 8 8 9 9 10 10 11 13 14 15 15 14 13 12 9 5 3 5 7 6 6 6 5 4 4 6 10 12 11 9 9 8 7 6 6 6 5 3 4 8 12 13 9 4 1 2 5 6 6 5 6 7 6 1 -5 -7 -1 5 10 14 17 18 17 nan
nan 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 9 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 12 12 12 12 11 11 10 10 10 9 8 6 6 7 10 10 7 5 5 6 8 8 6 4 4 5 8 10 11 10 8 8 8 10 11 12 11 10 8 6 4 4 4 5 6 7 8 9 10 10 11 11 10 10 11 13 15 18 19 17 14 12 9 7 6 7 9 10 10 10 10 9 8 9 11 11 9 8 8 9 9 9 9 7 4 3 4 6 8 10 8 5 3 4 6 7 7 8 10 10 7 -0 -7 -8 -2 5 9 14 19 21 21 nan
nan 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 9 10 10 10 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 9 9 10 10 11 11 12 12 13 13 14 14 13 12 11 10 9 7 6 4 3 3 4 7 7 5 4 5 7 7 5 2 0 3 8 11 13 12 10 8 8 8 9 10 11 11 11 10 8 6 5 5 6 7 8 9 9 9 10 10 10 9 9 10 11 14 18 20 19 15 11 10 9 9 9 10 12 12 12 11 11 11 11 11 10 9 8 9 10 11 10 8 6 5 5 5 5 6 8 8 6 5 5 5 6 7 8 10 11 8 1 -5 -6 -1 5 10 15 20 23 23 nan
nan 8 9 9 9 9 10 9 9 9 9 9 10 10 10 10 10 10 10 9 10 10 10 10 9 9 9 9 9 9 9 10 11 11 10 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 12 13 13 13 13 13 13 13 14 14 15 15 15 13 12 10 9 6 4 2 1 1 3 5 5 2 1 3 5 5 3 1 2 6 11 14 13 12 10 9 8 7 8 9 11 11 12 11 10 8 7 7 7 8 8 8 8 8 8 8 8 8 8 9 11 13 16 18 17 14 10 10 10 10 9 9 11 11 11 9 9 10 10 10 9 8 9 10 11 11 9 6 5 5 6 6 4 4 6 8 7 6 6 6 6 6 7 9 10 8 4 -1 -2 1 5 9 14 19 21 20 nan
nan 9 9 9 9 10 10 10 9 9 9 10 10 10 10 11 11 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 11 11 10 9 9 8 8 8 9 9 8 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 9 9 8 8 8 9 9 8 8 9 9 8 8 8 8 8 9 10 12 14 16 16 16 16 15 14 13 13 14 16 17 17 16 14 12 11 9 6 3 2 1 1 2 4 4 2 -0 3 5 4 3 3 5 8 11 12 11 10 9 8 8 8 9 11 12 12 12 12 12 11 10 10 10 9 8 7 7 7 7 7 7 8 10 11 12 12 13 14 14 12 9 10 11 10 9 8 9 11 10 7 6 7 8 8 8 8 9 11 12 11 9 6 5 5 6 5 4 4 6 8 8 8 8 9 9 8 8 8 8 7 5 2 0 1 4 8 12 15 15 14 nan
nan 9 9 10 10 10 10 10 9 9 10 10 10 10 10 11 11 11 10 10 10 10 9 9 9 10 10 10 11 11 11 11 11 10 10 9 9 9 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 12 14 16 17 17 17 16 15 13 12 13 15 17 18 18 16 14 12 12 10 7 5 3 2 2 3 4 5 4 5 7 10 9 6 5 6 7 8 8 8 7 8 8 9 10 11 13 13 12 11 11 11 12 13 13 12 10 9 8 8 8 8 8 8 9 11 12 12 12 12 11 11 10 9 10 13 12 10 9 9 11 10 7 5 6 8 9 9 10 11 12 12 11 9 7 5 5 5 4 4 5 8 9 9 9 10 11 11 10 9 8 6 5 3 2 -0 -1 2 7 12 12 10 7 nan
nan 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 11 11 11 10 10 9 9 9 9 10 11 11 11 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 9 9 9 9 9 9 10 12 14 16 16 16 15 15 14 13 12 12 13 15 16 16 15 14 13 13 12 10 9 8 8 7 7 6 6 7 8 10 13 15 13 9 7 6 5 6 6 6 6 8 9 10 11 12 13 13 10 8 8 8 11 13 15 14 12 11 10 10 9 9 9 9 10 10 11 12 12 10 8 8 9 11 12 14 14 12 10 9 9 9 7 6 6 8 9 11 11 12 12 12 12 10 9 7 7 5 3 4 7 9 10 9 9 9 11 11 10 9 7 5 3 2 0 -2 -2 1 6 11 12 8 5 nan
nan 10 10 10 9 9 9 9 10 10 10 11 11 11 10 10 11 11 11 10 9 9 9 9 10 10 11 11 11 11 12 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 13 16 19 20 19 18 17 16 14 13 14 14 14 14 14 13 11 11 10 10 8 8 8 10 10 10 10 8 8 8 9 12 13 12 10 8 7 6 5 5 6 6 7 9 10 12 12 12 11 9 7 5 5 6 9 12 14 14 13 13 13 12 11 10 9 9 9 9 10 12 12 8 4 5 10 12 13 15 14 12 9 8 8 7 7 7 7 8 8 9 10 11 11 12 12 11 11 10 10 9 7 7 8 9 9 8 8 9 10 10 10 8 6 3 1 0 -1 -1 -1 2 6 10 11 9 6 nan
nan 10 10 10 9 9 9 9 10 10 10 11 11 10 10 10 10 11 11 10 9 9 9 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 8 8 9 9 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 11 11 10 10 10 9 9 9 10 13 18 23 26 27 27 25 23 20 18 16 16 16 15 13 12 11 10 8 6 4 3 4 5 7 9 9 8 7 7 7 8 9 8 7 5 5 6 7 7 6 7 8 9 11 12 14 13 11 8 6 4 4 4 6 8 10 12 12 13 13 13 13 12 10 10 9 9 9 10 11 10 5 0 4 10 14 15 14 13 11 9 8 8 7 7 6 7 6 5 6 6 8 9 11 12 13 13 14 15 14 12 10 10 9 9 8 8 8 8 9 9 7 4 2 -0 -1 -0 0 1 3 6 9 12 11 7 nan
nan 10 10 9 9 9 9 10 10 10 10 11 10 10 10 10 11 11 11 10 9 9 9 10 10 10 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 9 9 12 18 25 30 33 34 31 27 24 21 18 16 15 14 12 11 10 10 10 8 4 2 2 3 4 5 6 6 6 6 5 5 5 5 5 3 1 2 4 7 8 7 7 9 11 13 15 15 12 8 5 4 4 4 5 6 8 9 10 10 10 12 13 13 12 10 9 9 9 10 10 11 9 3 -1 3 10 14 14 13 12 10 9 8 8 7 6 5 4 4 3 3 5 7 10 12 13 14 15 16 17 16 14 12 11 10 9 8 7 6 7 7 7 6 4 2 1 1 1 1 2 3 6 9 12 12 8 nan
nan 10 10 9 9 10 10 10 10 11 11 11 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 10 16 23 27 30 31 30 27 23 19 16 13 11 10 9 8 5 5 6 8 8 5 4 4 4 4 4 4 6 7 7 6 5 4 4 4 3 1 2 5 7 8 7 7 8 10 13 14 13 9 5 4 4 5 7 8 9 10 11 11 10 9 10 12 12 11 9 8 8 9 10 12 13 10 4 1 3 8 12 13 12 11 9 8 8 6 5 4 3 3 3 4 6 8 10 12 13 14 15 15 15 16 15 13 11 10 9 9 8 7 6 5 5 6 6 6 5 5 4 3 2 2 4 6 10 12 12 8 nan
nan 10 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 12 12 12 12 11 11 11 11 11 10 10 10 11 11 10 10 13 18 22 23 22 22 22 21 18 15 11 9 7 6 5 3 2 1 2 4 6 6 6 6 6 5 5 6 9 10 10 9 7 7 7 5 4 3 5 6 8 8 7 6 7 8 9 9 8 5 4 4 6 8 10 12 14 15 16 14 10 8 9 11 11 10 8 7 7 8 9 13 15 12 6 3 4 7 10 12 12 10 8 6 5 4 2 2 2 4 6 9 10 11 12 13 14 15 14 13 13 13 13 12 10 9 9 9 8 7 5 4 3 4 6 7 8 7 6 5 2 2 4 7 10 12 11 8 nan
nan 10 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 14 17 18 17 15 14 15 15 14 12 10 8 7 6 4 3 2 2 2 3 5 6 7 8 7 8 9 11 12 13 13 12 11 10 9 6 5 5 6 7 8 9 8 8 8 7 5 4 4 4 4 6 8 10 13 16 20 22 20 15 10 8 8 10 11 9 9 8 8 8 7 8 11 11 8 5 4 6 10 12 12 9 6 4 3 2 1 2 4 6 9 11 11 11 11 13 14 14 13 12 11 11 12 11 10 10 9 9 8 7 5 3 2 3 5 7 8 8 7 4 2 2 4 8 10 11 10 8 nan
nan 10 9 9 9 10 10 11 11 11 10 10 9 9 10 9 9 10 10 10 10 10 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 9 9 9 9 10 10 10 11 11 12 12 12 12 13 13 13 13 13 13 13 13 12 11 11 12 12 12 12 12 13 15 16 15 13 11 10 11 11 10 10 8 7 7 6 5 6 7 8 6 5 6 8 10 10 10 11 14 16 17 17 16 15 14 13 10 7 5 5 6 8 9 11 12 13 11 8 4 3 4 5 6 7 9 12 16 20 24 25 21 14 9 7 8 10 12 11 11 11 10 8 5 3 5 9 9 6 4 5 9 11 10 8 4 2 1 3 5 5 7 8 10 11 11 10 11 12 13 13 12 11 10 11 11 12 11 11 10 9 8 6 4 3 2 2 5 8 9 9 7 5 3 2 5 8 10 11 10 9 nan
nan 10 10 9 9 10 10 11 11 11 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 9 9 9 8 9 9 10 10 11 11 11 12 12 12 12 13 13 13 13 14 14 14 14 14 14 13 12 12 12 12 12 12 13 15 16 16 13 11 9 8 9 9 9 8 7 6 5 2 3 7 12 14 11 8 8 10 11 11 12 13 16 19 20 19 17 17 16 14 11 7 6 6 7 9 11 13 16 17 14 9 4 3 4 6 7 7 9 13 17 22 24 23 18 12 9 7 9 12 14 15 14 14 12 8 4 3 6 11 11 8 5 6 8 9 7 5 2 1 1 4 8 9 9 10 10 10 11 11 12 13 13 12 11 10 10 10 11 11 11 11 10 9 7 5 4 3 2 4 7 10 12 12 11 8 5 4 5 8 10 10 10 10 nan
nan 10 10 10 10 10 10 11 11 10 10 10 10 10 10 9 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 9 10 10 11 11 12 11 12 12 12 13 13 13 13 13 13 14 14 14 15 15 14 12 11 10 10 11 13 15 17 18 16 13 10 8 7 7 8 8 7 5 4 3 1 2 8 14 15 12 7 7 9 9 9 11 13 16 18 18 17 16 15 15 13 10 8 7 8 9 10 13 16 18 18 14 9 5 4 5 5 5 6 8 11 16 20 21 19 16 12 10 10 11 15 17 19 18 16 13 9 7 9 14 17 16 11 7 6 7 6 4 1 -1 -0 3 6 10 12 12 11 10 10 10 11 12 13 12 11 10 9 8 8 9 10 10 10 10 8 6 5 3 3 3 5 8 12 15 16 14 11 8 6 7 9 11 11 10 10 nan
nan 10 10 10 10 11 11 10 10 10 10 10 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 10 11 11 11 11 11 10 11 12 12 12 12 12 12 12 13 14 15 14 14 13 11 9 8 8 10 13 17 19 20 17 12 8 6 6 6 7 7 5 4 5 6 6 7 10 14 13 10 7 7 7 5 6 9 12 15 16 15 14 13 12 11 10 8 7 7 8 9 12 15 18 19 17 12 8 5 4 4 3 2 4 6 9 14 17 19 17 13 11 12 12 14 16 18 18 16 14 13 11 13 17 21 23 22 17 11 7 5 3 1 -2 -3 -1 4 8 12 14 15 14 12 10 9 9 10 11 12 11 10 8 8 7 8 9 9 9 9 8 6 4 3 2 3 5 7 11 14 14 12 9 7 7 8 9 11 12 13 12 nan
nan 10 10 11 11 11 10 10 10 10 11 11 11 10 10 10 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 7 6 6 7 7 9 9 9 9 10 10 9 9 9 10 10 10 10 11 11 12 13 13 14 13 12 10 8 7 6 7 10 14 18 19 17 15 11 8 6 5 5 5 5 5 5 7 10 12 12 12 11 10 8 8 8 5 2 2 6 10 12 13 12 12 10 9 8 6 5 5 6 6 8 10 14 17 18 16 11 7 4 3 2 1 1 3 5 9 13 16 17 15 11 10 11 14 15 15 14 13 12 11 11 12 15 19 22 24 24 22 16 10 6 2 -1 -3 -3 -0 4 9 13 16 17 15 12 9 8 7 8 9 11 11 10 9 8 7 7 8 8 9 8 7 6 5 4 3 4 5 6 7 7 7 6 5 6 7 8 9 11 14 16 16 nan
nan 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 8 6 5 4 5 5 6 7 7 7 7 8 8 8 8 9 9 9 10 10 11 12 13 14 13 11 8 6 5 5 5 7 12 16 18 17 13 10 8 6 4 3 2 2 2 4 5 7 10 12 13 11 9 7 6 7 8 5 0 -1 3 8 9 9 9 9 10 8 6 4 3 4 4 5 5 7 11 15 17 14 9 5 3 2 1 1 1 2 5 9 13 17 16 13 9 9 11 13 14 13 11 9 8 9 9 11 12 14 16 18 20 21 19 15 10 5 0 -3 -3 -0 4 9 14 16 16 14 11 8 7 6 6 8 9 11 10 10 8 7 7 6 7 7 7 6 6 6 6 5 5 6 5 3 2 1 1 2 4 6 8 9 11 14 16 17 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 10 10 10 10 10 10 11 11 11 11 11 12 12 11 10 9 7 4 3 2 2 3 4 4 4 5 6 6 7 7 8 8 9 9 9 10 12 13 12 11 8 4 2 1 1 4 8 14 17 17 13 8 6 4 3 2 2 1 0 0 2 3 5 7 8 8 9 8 6 4 6 8 6 2 1 3 6 8 7 8 9 10 9 6 3 2 2 3 3 3 6 11 15 15 12 6 3 1 1 1 1 0 2 5 9 14 17 16 12 9 8 10 12 12 10 7 6 6 7 8 8 8 8 9 10 12 15 16 15 12 7 1 -2 -2 2 7 12 15 16 15 12 10 7 6 5 5 6 8 10 10 10 9 8 7 6 5 5 6 6 6 6 6 6 6 6 5 3 2 1 2 3 4 6 8 10 11 12 13 15 nan
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nan 11 11 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 11 11 11 12 12 13 13 12 11 10 8 6 3 1 1 1 2 2 3 3 4 4 4 5 5 5 5 5 5 5 5 4 3 2 -0 -1 0 1 4 8 13 14 11 7 6 7 7 6 5 5 5 5 6 6 5 6 5 4 3 5 9 10 9 7 4 1 1 4 6 7 8 10 11 12 12 11 10 6 3 3 3 5 7 12 17 20 20 15 9 4 3 2 1 2 2 3 4 7 11 13 14 13 11 9 9 9 8 6 3 0 -1 0 3 4 4 4 4 4 5 5 5 4 4 5 4 4 5 10 14 18 18 16 14 11 10 9 8 7 6 6 6 7 8 8 6 5 4 4 4 5 8 9 5 2 -0 0 2 4 5 6 7 7 8 8 8 8 10 12 14 14 12 6 3 nan
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nan 5 5 6 7 8 9 9 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 8 8 8 8 8 8 9 9 9 10 10 11 11 11 12 12 12 12 12 13 15 20 26 29 30 25 17 11 8 7 8 9 11 14 16 16 13 12 11 12 14 16 16 15 11 8 5 5 9 16 20 19 16 12 9 7 6 5 5 6 8 8 8 8 8 9 9 9 9 8 7 6 5 5 4 4 3 2 0 -1 0 2 5 8 12 14 16 16 16 16 14 12 10 8 7 8 10 10 10 9 7 6 5 5 5 7 10 12 14 16 17 16 14 12 11 11 10 9 8 7 7 6 6 5 5 5 6 7 8 9 8 8 8 11 12 11 10 9 9 10 11 13 13 13 13 11 9 6 4 4 6 8 10 12 12 11 9 9 11 13 15 16 16 15 14 12 12 12 12 10 9 5 3 4 7 11 14 17 18 18 16 nan
nan 5 5 6 6 7 9 9 9 8 8 8 8 8 8 8 8 8 7 7 6 6 7 7 8 8 8 8 8 9 9 9 10 10 11 11 12 12 12 12 12 12 13 15 19 25 29 28 24 16 9 7 7 8 10 13 16 18 16 13 12 11 12 14 15 13 11 9 7 6 8 12 17 16 13 9 8 7 6 6 6 5 5 5 6 7 8 10 11 11 10 10 10 10 9 9 8 8 7 5 3 0 -1 0 2 4 7 9 11 11 12 13 15 15 15 13 10 8 8 9 10 10 9 8 8 7 7 7 8 9 11 12 15 16 13 11 11 12 13 12 10 9 8 7 6 5 5 5 5 5 6 7 8 7 7 8 10 12 12 11 11 11 11 10 10 10 9 8 7 6 5 5 7 8 8 8 9 11 12 13 12 13 14 15 15 14 13 12 12 13 13 12 9 6 3 1 3 7 13 18 21 20 18 16 nan
nan 6 6 6 6 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 9 9 10 10 11 11 12 12 12 12 12 12 13 16 20 25 29 28 23 15 8 5 7 9 12 16 18 20 18 14 12 12 13 13 12 10 7 5 4 5 8 13 15 14 9 6 4 4 5 7 7 6 6 6 7 8 9 10 10 9 9 9 10 11 11 12 12 11 10 9 7 5 3 3 3 4 6 7 8 7 7 9 12 14 15 15 13 10 9 9 9 9 10 10 10 10 9 9 8 9 9 10 12 12 10 9 11 13 14 13 10 9 8 8 6 5 4 5 5 6 7 8 9 8 7 8 10 12 12 11 11 10 9 7 6 6 6 6 6 6 6 7 8 8 7 7 9 12 15 16 15 15 15 15 15 13 12 12 13 15 15 13 9 5 3 2 5 9 16 22 23 20 17 15 nan
nan 7 7 6 6 7 8 9 9 9 9 8 8 8 8 8 8 8 8 9 8 8 7 7 7 8 8 9 8 8 8 9 9 10 10 11 12 12 12 12 12 13 13 16 20 25 30 31 26 17 9 5 7 10 13 16 19 21 19 16 14 14 14 13 11 8 6 4 3 4 7 12 16 16 12 8 5 5 7 9 10 10 10 11 12 12 11 10 8 7 7 7 8 9 11 12 12 11 11 11 10 9 8 7 5 5 6 6 7 6 5 5 7 11 14 15 15 13 11 10 10 10 10 11 11 11 10 10 9 10 10 10 11 11 12 12 12 12 11 10 10 11 12 12 9 6 5 6 8 8 9 9 9 9 8 8 9 11 11 10 9 9 7 5 5 6 8 9 11 12 13 12 9 7 7 7 10 14 16 16 16 16 16 16 15 12 11 12 14 15 15 12 7 4 3 3 6 11 17 22 23 19 16 13 nan
nan 9 8 8 8 8 9 9 10 9 9 9 8 8 8 7 7 8 8 9 9 9 8 8 8 8 8 9 9 8 8 9 9 10 10 11 11 12 12 12 12 13 13 15 20 26 31 33 30 21 12 7 6 9 12 15 19 21 21 19 16 15 14 13 11 9 7 5 3 4 7 12 18 20 18 14 10 9 10 12 14 14 14 15 16 15 13 10 9 8 8 9 9 9 9 9 10 9 9 9 11 11 11 10 8 7 7 8 8 8 7 5 5 7 11 14 16 16 14 11 10 10 10 11 10 10 10 10 10 11 12 12 12 13 14 13 12 10 9 9 12 14 14 13 11 9 8 9 11 11 10 9 8 7 7 8 9 10 10 10 9 8 7 7 8 9 11 13 15 17 17 15 11 8 6 7 9 11 13 14 16 17 18 18 16 14 13 13 13 12 11 6 2 1 2 4 8 12 16 21 21 17 14 12 nan
nan 10 9 9 9 9 10 10 10 10 9 9 9 9 8 8 7 7 8 8 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 11 11 12 12 12 13 13 15 19 26 31 33 31 23 13 7 5 6 9 12 16 20 21 20 18 15 13 12 11 10 8 6 4 4 6 11 17 20 21 19 16 14 13 15 15 14 14 14 16 16 13 11 11 12 12 12 12 10 9 7 7 7 7 8 9 11 12 12 11 10 9 9 9 10 10 9 7 7 9 12 15 15 14 12 10 10 10 10 10 10 10 10 10 11 12 12 13 13 13 12 11 10 11 12 13 13 11 10 10 11 12 12 12 11 10 8 6 5 6 7 9 10 10 10 9 9 9 9 11 12 14 16 17 18 17 15 11 8 6 6 7 8 9 12 15 17 19 20 19 17 17 15 11 7 3 -0 -1 1 4 7 10 13 16 19 18 15 13 12 nan
nan 11 10 10 10 10 10 11 11 10 10 10 9 9 9 8 7 7 7 8 8 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 11 12 12 12 13 14 17 24 30 32 31 23 12 5 3 3 5 8 12 16 18 18 17 15 13 11 10 10 8 7 5 4 5 9 13 16 18 19 18 17 16 17 15 12 10 9 11 11 11 10 11 13 14 14 13 10 8 6 6 6 7 7 9 11 12 13 13 11 9 8 7 8 10 11 11 10 9 10 11 12 12 11 10 10 10 10 10 10 10 10 10 11 12 12 12 12 11 11 12 13 14 13 12 11 10 10 11 13 14 13 12 10 9 7 5 4 6 8 10 11 11 10 9 9 10 11 11 12 13 14 16 17 15 13 10 7 6 6 7 9 10 12 15 18 19 18 18 18 17 14 8 2 -3 -4 -1 4 8 12 13 14 15 16 15 13 12 12 nan
nan 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 8 7 7 7 8 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 12 12 13 14 17 22 28 32 30 23 12 5 3 4 5 8 11 14 16 17 17 16 14 12 10 9 8 7 5 4 5 7 10 12 14 15 17 17 18 18 17 14 10 8 7 8 8 8 8 9 11 10 10 9 7 7 7 7 9 10 11 12 12 12 11 9 7 5 4 5 7 9 11 11 9 8 9 10 11 11 10 9 9 10 10 10 10 10 10 10 11 11 12 11 11 11 13 15 15 13 11 10 11 12 12 14 14 12 11 10 9 7 5 4 7 11 13 13 12 10 9 10 11 11 11 10 9 9 11 13 12 10 7 4 3 5 10 14 17 18 18 17 15 14 14 14 12 8 2 -4 -6 -3 3 8 12 13 13 13 13 13 13 12 12 12 nan
nan 10 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 8 7 7 7 8 8 9 8 8 8 8 7 8 8 8 9 9 9 9 9 10 10 11 11 12 12 13 16 21 26 31 30 23 14 7 5 6 7 9 12 14 16 18 19 18 17 15 11 8 7 5 4 4 4 5 7 10 12 14 17 18 18 18 17 15 13 10 9 9 8 8 7 7 6 5 5 6 6 7 8 11 13 15 14 13 11 9 7 5 3 3 3 4 5 7 8 9 8 7 8 10 10 10 9 8 9 9 10 10 10 10 10 11 11 12 12 12 12 12 13 15 14 12 10 9 9 11 12 14 15 14 12 10 9 7 5 5 9 12 15 14 11 8 9 11 11 11 10 9 7 6 6 7 8 7 4 2 1 4 11 18 22 22 19 16 11 9 9 8 6 2 -3 -7 -6 -1 6 11 13 13 12 11 12 12 12 12 12 11 nan
nan 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 9 8 7 6 6 7 8 9 9 8 8 7 7 7 8 8 8 9 9 9 9 9 10 10 11 12 12 13 15 20 25 30 32 26 17 10 7 7 8 10 11 14 16 18 19 20 19 17 13 9 7 5 3 3 2 3 5 9 13 16 17 18 16 15 14 13 12 12 12 12 12 10 9 7 6 4 3 4 5 7 10 14 17 19 17 13 9 5 3 1 1 4 6 7 7 8 7 7 6 6 6 7 8 8 8 9 9 10 10 11 11 11 11 11 11 12 12 13 13 13 14 13 11 10 9 9 9 9 10 13 16 16 14 11 9 8 8 9 11 12 12 9 7 7 9 11 11 11 10 9 7 5 5 5 6 7 7 6 4 5 10 15 19 20 18 14 8 5 5 4 4 1 -3 -4 -0 4 9 12 13 12 11 11 11 11 11 11 11 11 nan
nan 9 9 10 10 11 11 11 11 11 11 11 11 11 11 10 10 9 8 7 6 6 7 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 10 10 11 12 13 14 18 25 30 33 29 19 11 7 6 7 8 9 11 14 16 19 21 21 20 17 13 10 8 6 5 4 3 4 8 12 15 16 15 12 11 10 9 9 10 11 13 13 12 11 11 10 8 6 6 8 10 13 15 17 17 15 9 4 1 0 3 6 9 11 11 10 9 8 7 5 5 6 7 8 9 10 11 11 11 11 11 12 11 11 11 11 11 12 12 13 13 13 11 11 11 12 11 9 7 7 12 16 18 17 14 11 10 11 12 11 8 6 2 2 5 9 11 12 12 11 10 7 6 5 6 8 11 12 12 9 8 10 14 17 18 17 12 7 4 4 5 5 4 2 3 7 10 12 13 13 11 10 9 10 10 10 10 10 11 nan
nan 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 10 10 9 8 7 7 7 8 8 8 8 7 7 7 7 8 8 8 9 9 9 9 9 10 10 11 12 12 14 17 24 30 33 31 20 10 7 6 6 7 9 10 12 15 18 20 22 22 21 18 15 13 12 10 7 5 5 8 12 14 14 12 9 8 8 8 8 9 9 10 11 11 11 12 11 10 9 9 12 14 15 15 14 11 9 5 1 1 3 10 17 18 16 13 11 10 8 7 6 6 7 8 9 11 11 11 11 11 11 11 11 11 11 10 9 9 10 10 11 11 10 11 13 14 14 11 8 5 6 10 14 16 17 16 14 11 10 9 8 6 3 0 1 5 9 12 14 15 14 11 7 5 5 6 9 12 14 13 12 11 13 16 19 19 16 10 6 5 5 6 6 7 7 9 12 14 14 14 13 11 10 9 9 9 9 9 10 11 nan
nan 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 9 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 10 11 11 12 13 17 23 30 33 30 21 11 6 5 6 7 9 11 13 15 17 19 20 20 19 19 17 16 14 12 10 9 9 10 13 15 14 12 10 9 10 11 11 11 10 9 8 8 8 9 10 10 11 11 13 14 15 14 12 8 5 3 2 4 8 14 20 20 17 13 11 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 10 13 15 14 10 6 5 7 10 11 12 13 14 12 8 5 5 7 8 7 4 4 6 10 13 16 18 16 11 6 3 3 4 6 7 9 12 13 15 17 19 20 19 14 8 6 5 6 7 8 9 11 13 14 14 14 13 12 11 10 10 9 8 8 8 9 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
37 35 29 25 24 22 22 23 28 30 31 26 21 18 16 16 18 24 32 33 34 35 21 13 11 11 11 12 13 14 14 17 23 25 23 23 20 18 15 15 15 16 16 16 17 17 16 15 14 13 12 11 11 12 11 11 10 10 10 9 8 8 8 8 7 6 6 6 6 6 6 6 6 6 5 4 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 0 8 28 61 155 337 458 394 223 83 16 0 0 0 0 4 43 198 756 1241 1296 1027 566 253 297 537 667 543 291 100 33 4 3 33 72 111 165 245 319 432 523 562 582 543 413 234 124 167 127 62 26 34 57 68 84 110 203 248 279 498 843 1035 873 613 627 815 903 785 603 506 510 535 498 465 442 421 391 350 307 266 226 188 172 170 181 193 213 247 252 279 302
35 27 25 21 21 21 21 24 28 29 27 23 21 22 20 16 14 18 24 27 32 31 19 13 11 11 11 12 12 12 13 15 16 16 18 21 21 20 19 18 17 17 17 16 16 17 16 14 13 13 12 12 11 11 12 11 10 9 9 8 8 8 8 7 7 6 6 7 6 6 6 6 6 5 5 5 4 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 0 13 35 88 233 435 541 444 217 60 9 0 0 0 0 0 0 12 163 330 364 260 109 26 39 140 243 242 163 85 48 17 6 38 70 107 179 257 315 406 494 521 529 457 286 126 82 105 102 36 7 0 5 17 38 70 143 209 266 468 755 916 825 659 644 770 741 641 513 425 393 367 327 299 288 280 259 226 192 164 135 108 101 113 132 150 172 202 227 245 230
24 25 22 18 19 19 20 23 27 29 24 19 18 22 19 15 15 17 18 25 37 38 32 24 15 12 11 12 13 13 13 13 13 12 14 17 19 19 20 20 19 18 17 16 16 16 15 14 13 13 12 12 11 11 11 10 10 9 8 8 8 8 8 7 6 6 7 10 10 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 0 2 15 41 154 310 507 592 459 208 39 5 0 0 0 0 0 0 0 9 21 19 8 1 0 2 21 66 90 88 80 69 48 42 66 96 120 194 269 331 410 470 492 452 322 186 99 59 31 26 0 0 0 5 31 65 90 116 139 158 238 391 556 673 712 701 641 482 461 462 439 369 267 178 140 142 148 140 119 100 85 72 59 59 66 83 113 139 168 202 212 189
27 27 21 15 14 15 17 22 26 27 23 19 17 16 20 23 28 30 28 29 42 46 48 37 23 15 12 13 13 13 13 12 11 10 13 15 18 20 22 22 21 18 17 16 16 16 15 14 13 13 12 11 11 11 11 10 9 8 8 8 8 8 8 7 6 6 8 12 12 6 6 8 6 5 4 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 2 1 0 3 17 58 213 318 514 558 401 171 30 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 20 35 45 55 62 63 59 61 67 77 87 156 235 294 336 348 299 200 146 112 84 46 11 0 0 0 6 32 69 83 69 50 39 34 47 130 306 491 538 439 311 212 279 341 317 219 113 59 55 66 74 69 57 49 46 43 40 42 40 55 78 109 157 196 188 136
16 19 18 15 13 14 16 21 27 27 23 21 18 16 25 32 40 44 41 33 35 41 45 45 33 20 14 12 12 13 13 13 12 12 13 15 19 22 26 25 21 18 17 16 15 15 15 15 13 12 12 11 11 11 11 10 9 8 8 8 8 8 7 6 6 6 8 11 9 6 6 6 6 5 5 5 5 5 4 4 4 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 2 1 0 0 4 20 70 184 255 401 385 234 80 14 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 19 22 22 33 39 44 48 51 55 58 58 125 201 228 212 173 121 71 68 70 52 19 0 0 0 3 26 49 51 39 21 6 0 1 6 63 205 301 247 133 76 63 115 145 102 50 18 13 25 37 41 35 30 31 34 35 35 39 39 40 54 146 211 208 151 77
17 16 19 22 20 17 18 23 28 26 20 19 17 23 31 33 36 34 29 27 29 33 35 40 39 29 18 12 10 11 12 13 13 14 17 19 21 24 26 23 20 17 16 16 15 16 15 14 14 13 12 11 11 11 10 9 8 8 8 8 8 8 7 6 6 6 6 7 6 6 6 6 6 6 5 4 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 2 0 0 0 6 17 48 118 204 259 189 82 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 6 15 24 34 39 42 45 50 55 91 153 161 125 81 48 22 9 14 12 4 0 0 0 3 14 8 7 5 2 0 0 1 6 42 149 152 76 18 9 16 36 34 14 3 1 5 12 18 19 18 24 34 42 42 40 43 43 45 69 132 174 170 120 51
20 18 18 20 17 17 20 24 26 24 19 19 19 37 37 30 29 28 26 27 31 35 36 37 40 37 21 16 12 11 12 12 12 14 17 20 23 26 24 21 17 15 15 15 15 16 14 14 13 13 13 12 11 11 9 9 8 8 8 8 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 1 0 0 2 18 28 45 100 184 233 157 54 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 19 28 31 30 33 39 47 61 90 101 82 53 30 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 37 114 56 17 2 0 2 4 2 0 0 1 3 5 7 10 16 31 51 55 45 37 39 49 74 115 145 152 125 75 26
24 21 18 16 15 17 20 25 26 23 21 21 24 28 28 26 24 24 27 32 38 42 45 45 41 33 20 17 16 13 13 13 12 12 15 17 22 23 21 18 15 15 15 14 15 15 14 14 14 14 13 12 11 10 10 9 9 8 8 8 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 2 1 0 3 13 56 87 111 168 240 266 180 53 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 15 19 18 12 9 18 31 41 50 59 54 37 22 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 20 34 8 2 0 0 0 0 0 0 0 0 0 1 3 11 25 47 69 52 30 20 32 64 103 130 126 104 69 29 5
24 22 18 17 18 19 21 25 29 27 23 20 20 22 19 20 21 24 31 38 44 48 50 48 37 25 17 18 19 16 15 14 13 12 14 17 20 20 19 17 14 14 14 14 14 14 14 14 14 13 12 11 10 10 10 9 9 9 8 8 8 7 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 2 1 0 1 8 41 121 180 213 238 249 217 132 39 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 3 8 9 5 1 0 4 15 27 36 40 37 21 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 30 50 66 34 13 6 24 59 88 88 68 58 39 13 1
21 20 19 23 26 22 22 25 29 29 25 22 20 17 16 16 18 21 31 42 49 50 49 43 29 18 15 15 16 16 15 16 16 16 17 18 18 20 18 16 14 14 14 14 14 14 13 13 13 13 11 11 10 9 9 9 9 9 9 8 7 6 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 3 2 0 0 2 16 71 158 204 177 149 125 90 47 13 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 4 3 1 1 2 2 0 0 0 0 4 12 20 23 16 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 18 31 37 14 3 1 11 33 54 60 61 80 62 24 6
22 21 21 21 22 19 24 25 23 23 23 24 26 21 18 17 16 18 32 44 51 50 42 31 20 16 16 18 16 14 14 15 17 18 18 19 20 19 17 16 15 15 14 14 15 14 13 14 13 12 11 11 10 10 9 9 9 9 9 8 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 3 2 2 2 2 2 2 2 2 3 2 2 2 2 1 0 0 3 27 89 158 177 135 83 40 16 7 15 23 16 0 0 0 0 0 0 0 0 0 0 0 0 2 6 9 7 3 1 0 0 0 0 0 0 0 0 3 6 8 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 11 4 0 0 2 13 32 70 135 208 165 58 18
28 25 23 21 18 17 24 27 25 24 24 25 25 22 21 20 18 20 31 43 49 44 34 24 19 17 18 21 15 13 15 15 13 14 15 18 20 19 17 17 16 16 16 16 15 14 13 14 12 11 11 11 10 10 9 9 9 9 9 8 6 6 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 0 2 9 53 119 190 215 170 85 22 2 48 107 115 63 0 0 0 0 0 0 0 0 0 0 0 0 2 6 7 3 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 3 28 114 229 199 114 46
25 24 22 19 17 19 24 28 25 25 26 27 27 27 26 25 21 21 29 39 41 34 25 20 19 20 22 22 15 13 18 19 14 11 13 16 19 20 19 18 17 17 16 16 15 14 13 12 12 10 11 10 10 9 8 8 8 9 8 7 7 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 0 2 11 38 107 185 249 257 198 97 24 10 148 295 267 115 0 0 0 0 0 0 0 0 0 0 0 0 2 6 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 2 32 103 168 73
24 22 20 21 24 25 27 29 29 28 26 26 30 34 33 28 22 21 30 38 36 29 21 17 21 30 35 31 17 15 18 18 16 14 14 16 19 21 20 19 19 17 16 13 14 14 13 12 11 11 10 10 10 9 9 9 8 8 7 6 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 0 5 27 76 154 235 275 232 149 69 18 22 131 277 212 70 0 0 0 0 0 0 0 0 0 0 0 0 1 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 1 18 64 54
28 25 23 26 30 28 27 28 28 28 26 28 30 32 31 26 21 20 34 40 39 31 24 21 25 39 44 31 19 17 17 16 16 18 19 19 20 19 18 20 19 17 15 14 13 12 12 11 11 11 10 10 10 9 8 8 8 7 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 7 36 88 155 213 233 179 103 43 10 5 20 31 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 1 5 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 1 12 42
21 22 23 27 30 28 26 27 26 26 27 31 34 33 29 27 26 31 46 44 39 32 28 29 32 35 32 24 21 20 20 18 20 23 23 22 21 20 19 19 18 17 15 14 13 12 11 12 11 10 10 10 10 8 8 8 7 7 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 4 8 10 8 9 35 81 138 178 185 151 81 29 6 0 0 0 0 0 0 0 0 0 0 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 11 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 9 38
28 23 22 27 30 29 28 29 28 26 27 30 32 31 27 28 39 45 46 40 30 26 27 30 30 26 19 20 22 27 22 20 22 23 23 21 20 19 18 18 16 16 15 14 13 12 11 11 10 10 9 9 9 9 8 7 7 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 2 2 2 2 2 2 2 1 0 16 32 37 30 27 41 77 128 163 163 129 59 14 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 20
28 23 24 31 32 30 29 28 28 26 28 33 33 29 26 29 42 44 46 37 27 25 31 33 27 19 14 19 28 26 25 23 23 24 22 20 20 19 18 17 15 15 14 12 12 11 11 11 10 9 9 9 8 8 7 6 6 6 6 6 5 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 1 1 1 1 0 0 1 1 1 1 2 2 2 1 1 1 0 0 19 41 47 43 44 48 54 97 140 145 101 36 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3
24 22 26 30 32 29 28 26 25 26 30 37 39 30 27 33 43 47 47 32 27 27 29 29 22 15 15 19 24 25 28 28 29 27 24 21 20 19 17 17 16 15 14 13 12 12 11 11 10 9 9 9 8 8 7 7 6 6 6 5 6 6 6 5 5 6 6 6 6 6 5 5 4 4 4 4 4 4 3 3 3 3 3 2 2 1 1 1 1 1 0 0 0 1 1 1 1 2 2 1 0 0 0 0 1 7 17 18 19 25 25 20 53 75 78 50 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
19 25 28 31 31 29 25 22 23 28 32 36 41 30 28 33 39 41 37 24 28 32 32 27 18 13 15 21 27 28 28 28 28 26 23 21 19 18 17 16 15 15 14 13 12 11 11 10 10 10 9 8 8 8 7 7 6 6 6 5 6 6 6 6 5 5 6 6 6 6 5 5 4 4 4 4 4 4 3 3 3 2 2 2 1 1 1 1 1 1 1 1 0 1 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 2 10 29 52 24 16 8 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
26 31 32 31 29 26 24 23 25 31 37 36 30 24 26 28 30 31 27 21 27 26 22 18 15 15 18 23 30 29 27 26 26 24 22 20 19 18 17 16 15 15 14 13 12 12 11 10 9 9 9 8 7 8 7 7 6 6 6 5 5 5 6 6 5 5 5 6 6 6 6 5 4 4 4 4 3 3 3 3 3 2 1 0 0 1 1 1 1 1 1 1 0 1 10 21 19 16 12 8 7 5 7 12 16 14 9 4 5 18 55 96 90 26 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
34 36 33 31 31 26 24 25 28 33 39 34 24 23 28 26 22 22 19 22 25 21 17 15 16 21 28 32 31 28 27 26 24 22 20 19 18 18 17 16 15 16 14 13 12 12 12 11 10 9 8 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 4 5 6 6 5 4 4 4 4 4 3 3 3 2 1 1 0 0 0 0 0 1 1 1 1 0 0 6 28 70 80 67 50 41 39 40 49 73 82 67 40 20 21 58 136 146 101 43 21 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
38 35 34 35 35 28 27 28 31 34 35 28 19 29 31 25 19 17 20 29 27 20 15 16 21 27 29 28 27 27 26 24 21 18 18 18 17 17 16 16 15 15 14 12 11 12 11 11 10 9 8 7 6 6 7 6 5 5 4 4 4 5 5 5 4 4 4 5 6 5 4 4 4 4 4 3 3 2 2 1 1 0 0 0 0 0 0 0 2 2 0 0 0 7 32 78 115 106 89 84 96 116 136 167 176 141 84 40 39 84 152 129 83 42 18 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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