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 nan nan nan nan nan nan nan nan
nan 9 8 9 11 10 8 8 8 8 7 6 5 5 6 8 9 8 6 3 3 5 7 6 4 3 4 6 8 7 4 2 3 5 7 6 6 4 3 4 5 5 5 6 8 9 11 12 10 8 8 8 8 8 8 6 5 3 2 3 5 6 6 6 6 6 6 4 2 0 2 4 2 -4 -8 -7 -2 3 4 3 5 9 13 15 13 10 8 9 11 11 11 9 7 6 6 7 7 7 7 8 10 11 13 15 16 14 10 8 7 7 8 8 8 8 8 7 7 7 7 6 6 5 5 5 5 5 5 5 5 4 4 3 3 3 4 4 4 3 3 3 4 4 5 6 6 7 7 7 7 6 6 5 4 4 3 3 3 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 5 5 5 5 5 4 4 3 3 2 2 2 3 3 3 4 5 6 6 7 7 8 8 8 8 8 8 8 7 7 6 6 5 5 5 4 nan
nan 7 9 10 10 9 8 8 9 9 8 7 6 6 7 9 10 8 6 5 6 6 6 5 4 6 8 10 10 7 3 -0 -0 2 5 8 8 6 5 5 5 6 6 6 5 5 7 8 9 8 7 6 7 7 7 6 6 5 5 7 8 9 8 8 7 6 5 3 2 2 3 2 -1 -4 -6 -7 -6 -3 1 4 7 10 11 12 11 9 9 10 11 11 10 8 6 5 6 8 7 6 6 7 8 9 11 16 20 17 11 8 7 6 7 8 8 8 8 7 7 7 7 7 6 6 6 5 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 7 7 7 7 7 6 5 4 3 3 3 3 3 3 4 5 6 6 6 6 6 7 7 7 7 6 6 5 5 4 4 4 5 5 5 5 5 4 4 3 3 2 2 2 2 3 3 4 5 6 7 7 7 7 7 7 7 8 8 8 8 7 7 6 6 6 5 5 nan
nan 7 8 9 9 9 8 9 10 10 9 9 7 6 7 9 9 7 4 4 6 7 5 4 5 8 11 14 14 10 4 1 0 1 4 8 9 8 7 7 7 7 7 6 4 3 4 6 8 8 7 6 6 7 7 7 7 8 9 9 9 8 7 5 4 3 4 5 7 7 5 2 -1 -3 -4 -7 -9 -7 -2 4 9 10 10 9 9 9 9 10 11 10 10 8 5 5 7 8 6 5 5 6 7 8 10 16 21 19 12 8 7 6 6 7 8 8 8 7 7 7 7 7 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 7 7 7 7 7 6 6 5 3 3 2 2 2 3 4 5 6 6 6 6 6 7 7 7 7 7 6 5 5 4 4 4 4 5 5 5 5 4 4 3 2 2 2 2 2 3 3 4 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 nan
nan 6 6 7 9 10 9 9 9 9 10 10 8 5 5 8 9 7 4 4 6 6 5 3 4 7 10 13 14 10 5 2 1 2 4 7 9 10 10 9 8 7 7 5 4 3 3 4 6 7 8 8 9 10 10 9 8 8 9 8 7 5 3 2 2 2 3 6 9 10 8 4 1 -0 -2 -4 -6 -6 -1 5 10 11 10 9 10 10 9 9 9 10 10 8 6 5 7 7 6 4 4 6 8 8 10 16 21 19 13 9 7 6 6 7 8 8 8 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 7 7 8 7 7 6 5 4 3 2 2 2 3 3 4 5 6 6 6 6 7 7 7 7 7 6 6 5 4 3 3 4 4 5 5 5 4 4 3 3 2 2 3 3 3 4 4 5 6 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 6 6 6 nan
nan 7 6 7 8 11 11 9 7 7 8 9 8 4 4 8 11 10 7 5 5 5 4 3 4 5 6 7 8 8 7 5 3 4 5 6 8 9 10 10 8 6 5 4 4 4 3 4 4 6 8 10 13 14 13 10 7 6 6 5 3 2 2 2 2 2 2 3 6 8 8 6 4 3 3 2 1 1 3 7 10 11 11 11 11 10 9 8 8 9 10 9 6 6 8 7 5 3 4 6 8 9 11 16 21 19 14 10 8 7 7 8 8 9 8 7 7 6 6 6 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 6 5 4 3 3 3 3 3 4 4 5 5 6 6 6 7 7 7 7 7 6 6 5 4 3 3 3 4 5 5 5 4 4 3 3 3 3 3 3 4 4 4 5 6 6 7 7 7 7 6 6 5 6 6 6 6 6 6 6 7 6 6 nan
nan 10 7 7 8 11 12 10 7 4 5 7 7 5 5 8 12 12 10 7 6 4 2 2 3 4 3 3 5 9 10 8 6 5 5 6 7 8 8 8 7 5 3 3 3 3 3 3 4 5 7 10 13 14 12 10 7 4 3 2 2 1 3 5 5 4 2 1 3 6 8 7 6 6 6 6 7 8 8 8 8 10 12 12 11 10 9 8 6 7 8 9 8 8 8 7 4 3 4 6 8 9 13 18 21 19 13 10 8 7 7 8 9 9 8 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 6 6 4 4 3 4 4 4 4 4 5 5 5 6 6 6 7 7 7 7 6 6 4 3 2 2 3 4 5 5 5 5 4 4 4 3 4 4 4 4 4 4 5 5 6 7 7 7 6 6 5 5 5 5 5 5 6 6 6 6 6 6 nan
nan 13 8 8 8 10 11 10 6 3 4 6 7 7 7 8 11 12 11 9 6 4 2 2 3 3 2 3 7 10 11 11 9 7 5 5 5 5 6 6 6 5 4 3 3 3 3 3 3 4 6 8 10 10 11 11 9 6 3 2 2 3 5 7 7 5 3 3 4 6 8 8 7 6 6 7 9 11 11 9 6 8 12 13 11 9 9 7 5 6 8 9 9 9 9 7 3 2 4 7 8 10 15 19 20 17 12 9 8 7 7 7 8 8 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 4 4 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 6 5 4 3 2 2 3 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 6 6 7 6 6 6 5 5 4 4 4 4 5 5 5 6 6 6 nan
nan 10 7 8 9 9 9 8 6 4 5 7 9 9 9 9 9 10 10 9 7 4 2 3 5 4 2 4 8 11 11 11 10 7 5 4 4 3 4 5 6 6 5 5 5 5 5 4 4 4 5 6 7 8 10 13 13 10 6 4 4 6 8 8 6 4 5 6 7 7 7 7 8 7 5 5 6 8 10 8 6 7 10 12 10 9 8 6 5 6 8 9 9 9 8 6 3 3 5 7 8 12 16 20 18 14 10 9 8 7 7 7 8 8 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 6 6 6 6 6 5 5 5 6 6 6 6 6 5 5 5 5 5 6 6 6 6 5 4 3 2 2 3 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 5 5 5 nan
nan 5 6 8 10 10 8 7 6 5 6 7 9 10 9 8 7 8 9 9 7 3 3 7 9 6 2 2 5 7 9 10 10 8 5 4 3 2 3 4 6 6 6 6 7 8 7 6 5 5 5 5 5 7 8 11 13 13 10 7 6 9 10 7 3 2 4 7 8 7 7 8 10 10 6 4 3 4 6 8 8 8 10 12 11 9 7 6 6 7 8 9 9 8 7 5 4 5 5 7 9 13 18 19 16 12 9 8 8 8 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 6 6 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 5 4 4 3 3 3 3 4 4 5 5 5 6 5 5 5 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 5 5 4 4 3 3 3 3 4 4 4 4 5 nan
nan 3 5 8 10 10 10 9 8 8 8 8 8 7 6 5 5 6 8 8 5 3 4 10 12 8 2 -0 1 4 6 9 10 8 6 4 3 3 3 3 4 5 6 7 8 9 9 8 6 6 5 4 4 4 5 5 8 12 13 10 9 10 9 5 0 -0 3 7 8 7 7 10 12 11 8 5 2 2 6 9 11 11 12 12 11 9 7 5 5 7 8 9 8 7 6 5 5 6 6 7 9 14 18 18 14 11 8 8 7 8 8 8 8 7 7 7 7 6 6 5 5 5 5 5 6 6 6 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 3 3 4 4 4 4 4 5 5 6 6 6 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 5 5 4 4 4 3 3 3 3 3 3 4 4 5 nan
nan 3 5 8 9 10 11 11 12 11 10 8 5 3 1 1 2 3 5 5 3 2 4 10 13 9 3 0 1 3 6 8 10 9 7 5 4 4 3 2 3 5 8 9 10 10 10 9 8 7 6 5 4 4 3 3 5 9 11 11 11 12 9 3 -1 -1 2 6 7 6 7 9 11 10 9 7 4 4 7 10 12 12 12 12 10 9 7 6 5 6 7 8 8 7 6 6 6 6 7 8 10 14 18 16 13 10 8 7 7 8 8 8 8 8 7 7 7 6 6 5 5 5 5 6 6 6 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 6 6 7 7 7 6 6 6 6 7 7 6 6 6 6 6 6 6 6 5 4 3 3 3 4 4 4 4 4 5 5 6 6 6 5 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 5 5 4 4 4 3 3 3 3 4 4 4 5 5 nan
nan 5 6 7 7 8 10 11 12 11 10 7 4 1 -0 -1 -1 1 2 2 1 0 3 9 12 10 5 1 1 4 6 8 9 8 7 6 5 4 3 2 3 7 10 12 12 11 10 10 11 10 9 6 5 5 5 4 4 6 8 9 10 11 9 4 0 1 4 6 6 5 6 7 8 9 9 7 5 6 8 10 10 11 11 11 10 9 8 5 5 6 7 7 7 7 6 6 6 6 7 9 12 16 17 15 11 9 8 7 7 8 8 8 8 8 8 8 7 7 6 5 5 5 5 6 6 6 5 5 5 5 4 4 4 4 4 4 5 5 5 5 6 6 6 5 5 5 5 5 5 5 6 7 7 7 7 6 6 6 7 7 7 7 7 7 7 6 6 6 5 5 4 3 3 4 4 4 4 5 5 6 6 6 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 3 3 4 4 5 5 5 6 6 nan
nan 6 7 6 6 7 8 7 6 6 7 8 7 6 3 1 1 1 2 2 1 0 3 8 11 10 5 2 2 4 6 7 8 8 7 6 6 4 2 1 3 6 9 11 12 11 10 10 12 13 12 9 8 7 6 4 4 4 5 5 6 8 10 8 6 6 7 6 5 4 4 5 7 9 9 6 3 4 7 9 10 11 11 10 10 10 8 5 4 5 6 7 7 7 6 6 6 7 8 10 13 16 16 13 10 8 8 8 8 8 9 9 9 9 9 8 8 7 6 5 5 5 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 5 5 6 6 6 6 5 5 5 5 5 5 5 6 6 7 7 7 6 6 6 7 8 8 8 8 8 8 7 7 6 6 5 4 4 4 4 4 4 5 5 6 6 6 6 5 4 4 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 6 6 6 6 nan
nan 7 7 6 6 7 7 4 2 2 5 10 12 12 8 5 4 4 4 3 2 2 3 8 11 9 4 2 3 4 5 6 7 7 8 7 6 4 1 1 3 4 6 8 8 8 8 8 10 11 12 11 10 8 5 3 3 3 4 3 3 5 9 11 11 11 10 8 5 3 3 4 5 8 9 6 2 3 7 10 12 11 9 8 9 9 7 5 4 5 6 6 6 6 6 6 6 7 8 10 13 15 15 12 9 8 8 8 9 9 9 9 9 9 9 8 7 6 6 5 5 5 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 6 6 6 6 5 5 5 5 4 4 5 6 7 7 7 6 6 7 8 9 10 10 9 9 9 8 7 7 6 5 4 4 3 3 4 5 5 6 6 6 5 5 4 4 3 3 3 3 3 4 4 5 5 5 5 5 5 5 4 4 4 3 3 4 4 4 5 5 5 6 6 6 6 nan
nan 9 8 7 6 7 7 5 2 2 5 11 14 15 11 8 6 6 5 5 4 3 4 8 11 9 5 2 3 4 5 5 6 7 8 9 7 3 0 1 3 4 4 4 4 4 3 4 5 8 10 12 11 9 5 3 3 4 5 4 4 5 8 11 12 13 12 9 7 5 4 3 3 4 6 7 6 6 10 13 13 10 8 7 8 8 7 6 5 5 6 6 6 6 6 6 6 7 8 10 12 14 14 12 9 7 8 9 9 10 10 10 9 9 8 7 6 6 5 5 5 5 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 5 4 4 3 3 4 5 6 7 7 6 7 7 9 10 11 12 12 11 10 9 8 7 6 5 4 3 3 3 4 5 6 6 6 5 5 4 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 4 4 3 3 3 3 3 4 4 4 4 5 5 6 6 6 nan
nan 11 10 9 8 7 7 6 4 4 7 10 13 13 12 9 7 5 5 6 6 5 4 6 9 10 7 4 3 3 3 4 6 7 8 9 6 2 0 2 4 4 4 4 3 2 1 1 2 4 7 10 12 11 7 4 4 4 5 5 5 6 7 8 8 9 9 9 9 7 5 3 2 2 4 7 10 13 16 16 13 8 6 6 7 8 7 6 5 5 6 6 6 6 6 6 6 7 8 9 11 13 14 13 9 7 8 9 10 11 10 9 9 9 8 7 6 5 5 5 5 5 5 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 5 5 6 6 7 7 6 5 4 3 3 3 3 4 5 6 7 7 7 8 10 12 13 14 15 14 13 12 10 8 7 6 5 4 3 4 5 6 7 7 6 5 4 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 4 4 3 3 3 3 3 3 3 3 4 4 5 5 5 6 6 nan
nan 11 10 9 8 7 7 7 5 5 7 10 11 11 10 8 7 5 5 6 7 5 3 4 6 8 8 6 5 3 3 4 6 7 9 8 5 1 0 1 4 5 5 5 4 3 2 2 2 3 5 8 11 12 10 6 4 4 4 4 5 6 7 6 4 3 5 8 10 9 6 5 4 4 6 9 13 17 18 16 11 7 5 5 6 6 7 7 6 6 6 6 6 6 6 6 6 7 8 8 10 12 15 14 10 8 8 9 10 10 10 9 9 8 7 6 5 4 4 4 5 5 5 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 5 6 6 7 7 6 5 4 3 3 2 2 3 4 6 6 7 7 8 10 12 14 16 17 17 16 15 13 10 9 7 5 4 3 4 5 6 7 6 5 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 6 nan
nan 10 9 7 7 7 8 8 6 5 6 8 8 8 7 6 6 6 5 6 7 6 4 3 4 6 7 8 7 6 5 5 7 9 10 9 6 3 1 1 3 5 6 6 6 5 5 4 4 4 4 6 8 10 10 6 4 3 3 3 5 7 7 6 3 2 4 7 9 9 8 7 8 9 10 13 16 18 18 14 9 5 4 5 5 6 6 6 7 6 6 5 5 5 5 5 6 7 7 8 9 11 14 15 12 9 9 9 10 10 9 9 8 7 6 5 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 5 6 6 7 7 7 6 5 4 3 3 2 3 4 5 5 5 5 6 7 10 13 15 17 18 18 18 15 12 10 7 5 4 3 4 5 6 6 5 4 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 nan
nan 9 8 6 6 7 8 9 7 5 4 4 3 3 4 5 6 6 5 5 7 8 7 5 5 5 6 7 8 8 8 8 9 10 11 10 8 5 2 1 2 3 5 6 7 7 6 6 6 6 5 5 6 8 9 7 4 3 3 3 5 6 7 6 5 5 7 8 9 8 8 9 10 11 12 14 16 17 16 11 7 5 5 6 6 5 5 6 7 7 6 5 5 5 5 5 6 7 7 7 8 9 13 15 13 10 9 9 9 9 8 8 7 6 5 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 5 6 6 7 7 7 6 5 4 4 3 3 3 3 3 3 3 3 3 4 7 10 13 15 17 19 19 18 14 11 8 5 3 2 3 4 5 5 4 3 3 3 3 3 3 2 2 2 3 3 3 4 4 4 4 4 3 3 3 2 2 3 3 3 3 3 4 4 4 4 4 4 5 5 nan
nan 9 9 8 7 7 8 9 8 6 3 1 -1 -0 3 5 6 6 5 5 7 8 8 7 8 8 7 7 6 7 8 9 10 11 12 11 9 6 4 3 2 3 4 5 7 7 6 6 6 7 7 6 7 10 12 8 5 4 4 4 5 5 6 7 9 11 11 10 8 7 8 9 10 10 10 11 13 15 13 9 6 6 7 7 6 4 4 5 6 7 7 6 6 5 5 6 7 7 7 7 7 8 11 14 14 11 10 9 8 8 8 7 6 5 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 4 4 4 4 5 5 6 6 7 8 8 7 6 5 4 3 3 2 2 2 1 1 0 0 1 4 7 10 13 17 21 22 21 18 14 10 7 4 3 3 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 4 3 3 3 3 3 2 2 3 3 3 4 4 4 4 4 4 5 5 5 5 nan
nan 8 11 11 10 8 7 7 6 6 5 3 1 1 3 5 5 5 6 6 6 7 7 7 8 9 8 7 5 6 7 9 10 11 11 9 7 6 5 5 5 5 5 6 7 8 6 5 5 7 7 8 10 13 14 10 7 6 5 5 5 5 6 8 10 11 10 8 6 6 7 9 10 9 7 8 10 12 12 9 7 8 8 7 5 3 3 5 7 8 8 7 6 5 5 6 6 7 7 7 6 7 9 12 13 12 10 9 8 8 7 7 5 4 4 3 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 4 4 4 5 5 6 7 7 8 8 7 6 5 4 3 3 2 2 1 0 -1 -1 -1 0 3 5 9 13 18 22 25 25 23 19 15 11 8 6 5 4 3 3 3 2 3 3 3 2 2 1 1 1 1 1 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 6 nan
nan 5 9 11 11 9 7 4 4 5 6 5 4 4 4 5 5 6 6 6 6 6 6 6 7 7 8 8 7 7 8 9 10 10 9 7 5 5 5 6 7 7 7 7 7 8 6 5 4 5 8 10 12 13 11 10 8 6 5 5 6 6 6 6 6 6 4 4 4 6 8 10 9 7 5 5 7 10 10 9 9 10 9 6 4 3 4 5 7 8 9 9 7 5 5 5 6 7 7 7 6 6 7 10 12 12 11 10 8 8 7 6 5 4 3 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 4 4 4 5 6 6 7 7 8 8 8 7 6 5 4 3 2 1 1 -0 -1 -1 -1 1 3 5 8 12 17 22 26 26 25 23 20 17 13 10 8 6 4 3 2 2 2 2 2 2 1 0 0 -0 -0 0 1 3 3 4 4 3 3 3 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 6 nan
nan 2 5 9 11 10 7 4 3 3 4 4 4 5 6 6 6 5 6 6 6 7 7 7 6 7 8 10 11 11 11 12 11 10 8 6 4 4 4 6 7 7 6 6 6 7 7 6 4 5 8 10 11 9 8 8 8 6 5 5 6 6 6 4 2 1 1 2 5 7 9 9 8 5 3 3 6 8 10 10 11 10 8 6 4 4 5 6 7 9 9 9 8 6 5 5 5 6 7 7 7 5 5 7 11 12 10 9 8 8 7 7 5 4 4 4 5 6 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 4 3 3 4 4 5 6 6 7 7 8 8 8 7 6 5 4 3 3 2 0 -0 -1 -1 -0 1 3 5 7 11 15 20 23 24 24 24 23 20 17 14 11 8 5 3 2 2 2 2 2 1 1 0 -0 -0 -0 0 2 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 7 nan
nan 2 4 8 12 12 9 5 3 2 2 3 5 7 8 8 6 4 4 5 6 7 8 7 6 7 9 11 13 14 15 15 15 12 9 7 5 3 3 4 6 6 5 4 5 7 8 7 6 6 8 9 9 8 8 9 8 5 3 3 5 6 7 6 5 3 3 5 6 8 9 9 7 4 2 3 6 9 10 10 10 9 7 6 4 4 5 6 7 8 9 9 8 6 5 5 5 6 8 8 7 5 4 6 8 9 8 8 9 9 8 7 6 4 4 5 6 7 8 8 7 7 6 6 6 6 6 6 6 5 5 5 4 4 3 3 4 4 5 6 6 7 7 8 8 8 7 6 5 5 4 3 2 1 -0 -1 -0 1 2 4 5 7 10 13 16 19 20 21 21 21 20 18 15 13 10 6 4 3 2 2 2 2 1 0 0 -0 -0 -0 1 2 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 6 6 7 7 7 7 7 7 nan
nan 4 5 9 12 12 9 6 3 3 4 5 7 10 11 9 6 3 3 4 5 6 6 6 6 6 8 11 12 14 16 17 16 13 10 7 5 3 3 4 5 5 5 5 5 6 7 7 7 8 10 10 9 10 11 11 9 4 1 2 4 6 8 7 6 4 5 7 8 8 9 8 6 3 2 4 7 10 11 10 8 7 6 6 5 5 6 7 8 8 8 8 8 7 6 5 6 7 8 8 7 5 4 5 7 7 7 8 9 9 9 8 7 5 5 6 7 8 8 8 8 8 7 7 6 6 6 6 6 6 5 4 4 3 3 3 3 4 5 6 6 7 7 7 8 8 7 6 6 5 4 3 2 1 -0 -0 0 2 3 4 5 7 9 11 13 14 15 16 17 17 17 16 15 13 11 8 5 3 3 2 2 2 1 1 0 -0 -0 0 1 3 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 6 7 7 7 7 8 8 8 nan
nan 5 5 8 10 10 8 6 5 6 8 9 10 12 12 9 5 3 3 4 4 5 5 6 6 7 9 9 10 12 15 16 15 12 8 5 3 3 4 5 6 6 6 6 5 5 5 6 8 10 12 11 11 12 13 12 8 3 0 1 3 5 5 3 1 1 4 7 8 9 9 9 7 5 5 6 9 10 10 9 7 6 6 6 6 7 8 8 8 8 7 7 8 7 6 7 7 8 8 7 6 5 5 5 6 6 7 8 9 9 9 9 9 7 6 8 8 8 9 9 9 9 8 7 7 6 6 7 7 6 5 4 4 4 3 3 3 4 5 5 6 6 7 7 7 7 6 6 5 5 4 3 1 1 0 0 1 2 3 4 5 7 8 9 10 10 11 11 12 13 13 13 13 13 12 10 7 5 4 3 3 2 2 1 0 0 0 1 2 3 4 5 5 5 5 5 5 4 4 4 4 4 5 5 6 7 7 8 8 8 8 8 8 nan
nan 7 5 6 8 8 7 6 6 9 12 12 11 11 10 7 4 3 3 4 4 5 5 7 8 10 10 9 8 10 13 14 12 8 5 4 3 4 6 8 9 8 7 6 5 4 4 5 7 11 13 14 13 14 13 11 7 2 0 1 2 3 2 1 -0 2 5 8 9 9 9 8 7 7 8 9 10 10 9 8 6 6 6 7 8 8 9 9 8 7 7 7 7 7 7 8 8 8 7 7 6 5 5 4 5 6 7 8 8 8 9 11 11 9 8 9 10 9 9 9 9 9 8 8 7 7 7 7 7 7 6 5 4 4 4 3 4 4 5 5 6 6 7 7 7 6 6 5 5 4 3 2 1 1 0 0 1 1 2 3 4 5 7 7 8 7 7 7 8 9 10 11 12 12 12 11 9 6 5 4 3 3 2 2 1 1 1 1 2 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 7 8 8 8 8 8 9 nan
nan 7 6 6 7 7 6 6 8 13 16 15 12 8 5 3 3 4 3 3 4 5 6 8 10 11 11 9 7 8 11 13 9 5 3 3 5 7 9 11 11 8 6 5 5 5 5 6 8 11 15 16 16 14 12 9 6 3 1 1 1 2 2 3 4 6 8 9 9 8 8 8 8 10 11 11 10 9 8 8 7 7 7 8 9 9 9 8 8 7 7 7 7 7 8 9 9 8 7 6 5 5 4 4 5 6 8 8 8 8 11 12 12 11 10 10 11 10 10 10 9 9 8 8 7 7 7 7 8 8 6 5 4 4 4 4 4 5 5 6 6 7 7 6 6 6 5 5 4 4 3 3 2 1 0 0 0 -0 0 1 2 3 5 6 6 5 5 5 5 7 8 9 10 11 12 11 10 7 6 5 4 4 4 3 3 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 6 6 7 8 8 8 8 8 9 9 nan
nan 7 7 6 7 7 6 7 10 16 18 15 11 6 2 2 3 4 3 3 3 4 6 8 10 10 8 7 7 7 10 12 8 4 2 4 7 10 12 13 11 7 4 3 4 6 7 7 8 11 15 17 15 12 9 7 6 3 1 1 1 3 5 7 8 9 9 9 8 7 7 8 10 11 12 10 9 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 9 9 9 8 7 6 5 4 4 3 4 6 7 8 8 9 10 11 11 10 11 11 11 10 10 9 9 9 8 8 7 7 7 7 8 8 7 6 5 5 5 5 6 6 6 6 7 7 7 7 6 6 5 5 4 3 3 3 3 2 1 1 0 -0 -1 -0 -0 0 1 3 3 3 3 3 4 5 6 8 9 10 11 11 10 8 7 6 5 5 5 5 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 6 6 7 7 8 8 8 8 8 8 8 nan
nan 8 8 8 8 8 8 9 10 12 13 11 8 5 3 4 4 5 4 4 4 3 4 6 8 8 6 6 6 7 10 11 9 5 4 6 9 12 13 12 9 5 3 3 5 8 9 8 8 10 14 15 12 7 5 5 4 2 1 0 1 4 7 9 10 10 10 9 8 7 7 9 11 12 11 9 8 7 8 8 9 9 9 8 8 8 9 8 8 8 7 7 7 8 9 9 9 8 6 6 5 4 4 3 4 6 7 7 8 8 9 10 9 10 10 11 11 10 10 9 8 8 8 8 8 7 7 7 7 7 7 6 6 6 7 7 8 8 8 8 7 7 7 7 6 6 5 5 5 4 3 3 4 4 3 2 1 -0 -1 -1 -2 -3 -2 -0 0 1 1 1 2 3 4 5 7 8 10 10 10 9 8 7 7 7 6 6 5 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 6 7 7 8 8 8 8 8 8 8 8 8 nan
nan 9 9 9 9 9 9 8 6 4 5 6 6 6 5 5 5 6 7 6 5 3 3 5 6 7 7 7 7 7 9 11 10 8 8 9 11 12 12 10 7 4 3 4 6 8 9 7 7 9 13 13 8 3 2 2 1 1 1 2 2 3 6 8 9 10 10 9 8 7 7 9 11 11 10 8 7 7 8 8 9 8 8 7 7 8 8 9 8 8 7 7 7 8 8 9 9 8 6 5 5 4 4 4 4 5 6 7 8 8 9 8 8 9 10 10 10 10 10 9 8 8 9 9 8 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 7 7 7 6 6 6 6 7 6 5 4 5 6 5 4 2 0 -0 -1 -3 -3 -3 -2 -1 -0 0 0 1 1 2 3 4 6 8 9 9 8 8 8 8 7 7 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 8 8 9 9 9 8 8 8 8 8 8 nan
nan 9 8 8 9 9 8 6 2 -2 -1 3 6 7 7 6 6 8 10 9 5 3 2 4 5 6 7 8 7 6 6 9 10 10 11 12 12 11 9 7 6 5 4 5 6 7 7 6 5 8 13 14 8 3 1 -1 -1 0 3 5 4 3 4 6 8 9 9 8 7 6 8 10 12 11 9 8 7 7 8 8 8 8 7 7 7 8 8 9 9 8 8 7 7 7 7 8 8 8 6 5 5 5 4 4 5 5 6 7 8 8 8 8 7 8 8 9 9 10 10 10 10 11 11 10 9 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 9 8 7 7 7 7 7 8 9 9 8 7 7 7 7 6 4 2 1 0 -1 -2 -3 -2 -1 -0 0 0 0 1 1 2 4 5 6 7 7 7 8 8 9 8 8 7 6 5 5 5 4 4 4 4 4 4 4 4 4 5 5 6 7 8 9 9 9 9 9 9 9 9 9 9 9 nan
nan 9 7 7 8 9 8 5 1 -1 -1 2 5 6 8 9 9 10 11 8 5 2 2 4 5 7 7 8 6 4 4 7 9 11 13 14 13 9 6 5 5 5 5 4 4 5 6 6 6 9 13 14 9 5 2 0 0 3 7 8 6 3 3 5 7 8 8 7 6 6 8 11 12 10 9 8 8 8 8 7 7 7 7 7 7 8 8 9 9 8 7 7 7 7 6 7 7 7 6 5 5 5 5 5 5 5 6 7 8 8 8 8 7 7 7 7 7 8 9 9 11 12 12 11 8 7 7 7 7 7 7 7 7 8 8 9 9 10 11 10 9 8 7 7 8 8 8 9 10 11 11 9 8 8 8 7 5 3 2 1 1 1 -1 -1 0 2 1 1 0 2 3 4 5 5 5 4 4 5 6 8 9 8 8 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 8 9 9 9 9 9 9 10 10 10 10 10 10 nan
nan 10 7 7 8 9 8 5 3 2 3 4 5 5 7 10 11 11 9 6 3 2 3 5 7 8 8 7 6 5 5 6 8 10 13 15 13 9 5 4 6 6 5 3 2 3 4 6 8 10 12 12 10 7 5 3 4 7 10 10 6 3 3 5 6 7 7 6 6 6 9 12 12 11 9 9 8 8 7 7 7 6 7 7 8 8 9 9 8 8 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 8 10 11 12 10 8 8 8 8 8 7 6 7 8 8 8 9 9 10 11 10 9 8 7 8 8 8 8 8 10 11 11 10 9 8 7 7 5 3 2 2 3 3 2 2 3 4 3 2 2 4 6 6 5 4 3 3 3 4 6 7 8 8 7 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 7 8 8 9 9 9 9 10 10 10 11 11 11 11 11 nan
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nan 6 6 4 4 4 5 6 8 10 11 11 11 11 10 10 10 10 10 9 7 7 8 11 16 21 22 20 18 15 11 5 -0 -2 0 6 11 13 13 12 11 12 14 16 17 16 13 9 5 3 2 2 2 3 4 5 7 9 10 11 12 12 12 12 12 11 11 11 11 10 11 11 11 10 10 11 11 12 13 13 14 14 14 14 14 14 12 8 5 6 8 10 11 12 13 12 10 9 8 8 8 7 7 7 7 7 7 7 6 6 6 7 8 8 9 9 8 9 10 10 10 9 8 7 8 10 13 14 13 12 11 10 9 8 7 6 5 6 7 8 9 9 8 7 7 7 8 9 9 8 7 6 6 6 6 7 8 8 8 8 8 8 8 8 7 7 6 6 6 7 8 8 8 8 8 9 9 9 9 8 8 9 10 10 11 10 9 8 8 7 7 8 8 9 9 9 9 9 9 10 10 10 10 10 9 8 8 8 8 8 8 8 8 nan
nan 2 2 3 4 5 7 9 10 11 12 12 11 10 10 9 9 8 8 7 6 6 8 13 19 23 23 22 19 17 14 10 3 -1 0 5 10 14 16 16 15 14 15 16 17 14 10 6 4 2 1 1 1 2 3 5 6 8 10 11 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 9 10 10 11 11 11 12 12 12 12 12 11 8 6 6 8 10 11 11 11 11 10 8 7 7 7 7 7 7 8 8 8 7 6 6 6 7 7 8 8 8 8 8 9 9 9 8 8 7 8 10 13 15 14 13 11 10 9 7 6 5 6 7 8 8 9 9 8 7 7 7 7 7 7 7 7 6 6 6 7 8 8 8 8 7 7 8 8 8 8 7 6 5 5 6 8 9 9 9 8 8 8 9 9 8 8 8 9 10 10 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 11 10 10 9 9 8 8 8 8 8 8 nan
nan 3 4 5 5 6 8 10 11 12 11 11 10 9 9 9 8 6 6 5 5 5 7 13 19 23 23 21 19 17 15 10 4 1 1 4 7 11 16 17 15 14 13 13 13 11 8 6 4 4 3 2 2 2 3 5 6 8 10 11 12 12 12 12 12 13 13 13 12 12 11 10 9 9 8 9 9 9 9 9 9 9 9 9 9 10 10 8 7 7 8 9 10 10 9 9 9 8 7 7 7 7 7 8 9 9 8 7 6 6 6 6 6 7 8 8 8 8 8 9 9 9 8 9 10 11 13 13 13 12 11 9 7 6 5 6 7 9 9 9 9 8 7 7 7 7 6 5 5 5 6 6 6 7 7 8 8 7 7 7 7 8 8 8 8 7 6 5 5 6 8 10 10 10 9 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 nan
nan 6 6 6 6 7 8 9 10 10 9 8 7 7 8 8 7 6 5 5 5 5 8 11 15 18 20 20 19 16 12 6 0 0 3 4 5 7 10 12 12 11 10 10 10 9 8 7 7 7 6 5 4 4 5 6 7 8 10 11 11 12 12 12 12 12 13 13 13 12 11 10 9 9 9 9 9 8 7 6 7 7 8 7 8 8 9 8 8 8 8 9 8 8 7 7 8 8 8 7 6 6 7 9 10 9 8 7 6 5 5 5 5 6 7 8 8 8 9 9 9 9 9 10 10 11 11 11 11 11 10 8 7 6 6 7 9 10 10 9 8 7 7 7 7 6 5 5 5 5 6 6 7 7 7 7 7 6 6 7 7 7 8 8 8 8 7 6 6 7 9 10 10 9 8 7 8 9 9 9 8 7 7 7 7 8 8 9 9 9 9 9 10 10 11 11 11 10 10 9 9 8 8 8 8 9 10 10 10 9 9 8 8 nan
nan 7 7 7 6 6 6 7 8 7 6 5 4 5 5 6 7 8 7 7 7 7 8 9 11 14 17 18 18 15 10 2 -2 0 4 6 7 7 8 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 10 10 11 12 12 12 12 12 12 13 13 12 12 11 10 10 9 10 10 9 8 7 6 6 6 7 7 7 8 8 9 9 9 9 8 7 6 6 6 7 8 8 7 6 6 7 9 10 9 8 6 5 5 4 4 4 5 6 7 8 9 9 10 9 9 9 10 10 10 10 10 10 10 9 8 7 8 8 9 10 10 9 8 7 6 6 6 6 5 5 5 5 6 7 7 7 7 7 7 6 6 6 7 7 7 8 8 8 8 7 7 6 7 9 10 10 10 8 7 7 8 9 10 10 8 7 7 7 7 8 9 9 9 9 9 10 10 11 11 10 10 10 9 9 8 8 8 8 9 10 11 11 9 8 7 8 nan
nan 6 5 5 6 6 5 5 6 6 5 4 3 3 3 5 8 10 10 8 8 9 9 9 11 13 16 18 18 14 8 1 -1 1 5 9 12 13 12 10 8 7 7 7 8 8 9 10 10 11 11 11 11 11 12 12 13 12 12 12 12 12 13 13 13 12 12 12 12 12 11 11 10 10 10 10 9 9 8 8 7 7 7 6 7 8 9 10 10 10 8 7 5 5 6 7 7 7 8 7 7 7 8 9 9 8 8 6 5 5 5 4 4 5 7 8 9 10 10 10 9 9 9 9 9 9 9 10 10 9 9 8 9 10 10 10 10 9 8 7 7 7 7 6 6 5 6 6 7 8 8 8 8 7 7 6 6 6 7 7 8 8 8 8 8 8 8 7 7 8 9 10 11 11 10 9 9 9 9 10 10 10 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 9 9 10 11 12 11 9 8 7 8 nan
nan 4 3 4 5 6 4 4 5 6 7 7 6 5 4 4 8 10 10 9 8 9 10 11 12 14 16 18 17 12 5 1 1 2 6 10 15 17 16 13 10 8 7 8 9 9 10 11 12 13 13 13 14 14 15 15 15 15 14 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 10 10 10 9 9 8 8 8 7 7 7 8 9 11 11 9 7 6 5 5 7 8 8 8 8 8 7 8 9 8 8 7 7 6 6 5 5 4 4 6 8 9 10 10 10 10 9 9 9 9 9 9 9 10 10 9 9 9 11 11 11 10 8 6 5 6 7 8 7 7 6 6 7 8 9 9 9 9 9 8 7 7 6 7 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 11 11 10 10 9 9 9 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 9 10 10 11 12 12 11 9 8 8 9 nan
nan 5 3 5 6 6 4 2 3 6 10 12 12 11 9 7 8 10 11 10 10 10 11 12 13 15 17 17 14 8 3 2 3 5 7 11 15 18 19 16 13 11 10 10 11 11 11 12 12 13 14 14 14 15 16 17 17 16 15 14 14 14 14 13 13 12 12 11 11 12 12 12 12 12 11 11 10 10 9 9 8 8 8 7 8 8 9 10 11 9 7 6 5 6 8 8 8 8 8 8 7 8 8 8 7 7 7 7 6 5 5 5 6 8 9 10 10 9 10 9 9 9 9 9 9 8 9 10 10 10 10 11 11 11 9 7 5 4 4 6 8 8 8 7 7 7 8 9 10 10 10 10 10 9 8 8 7 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 10 10 10 10 10 9 9 8 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 10 10 10 11 10 10 9 9 10 10 11 11 11 10 9 9 9 10 nan
nan 8 7 7 9 7 4 2 3 5 9 13 15 14 12 10 10 11 12 12 13 13 12 11 11 13 15 15 10 4 1 2 4 6 7 10 14 18 19 17 14 13 12 11 11 11 11 11 12 12 13 13 13 13 14 14 15 16 16 16 16 15 14 13 12 11 11 10 10 11 12 12 13 12 12 11 11 10 10 9 9 9 8 8 8 9 9 10 10 9 7 7 6 7 8 8 8 8 9 9 8 7 7 7 7 7 7 7 6 6 6 6 7 8 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 11 11 12 11 9 7 6 5 5 6 7 8 8 8 7 6 7 8 9 10 11 12 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 9 10 11 10 9 8 8 9 10 nan
nan 10 10 11 11 9 6 5 5 6 7 10 12 13 11 10 9 10 11 12 12 12 11 9 8 10 12 12 7 4 4 5 5 5 5 6 11 13 14 13 12 11 11 10 9 9 10 10 11 11 11 11 10 10 10 10 12 15 16 16 15 13 12 11 10 10 9 9 9 10 11 12 13 13 12 12 11 10 10 10 10 9 9 9 9 9 10 10 10 9 8 8 7 7 7 8 8 8 9 10 9 7 6 7 7 8 8 7 7 6 6 6 6 7 8 9 9 9 9 9 9 8 8 8 8 8 9 10 10 11 11 10 9 8 8 8 7 7 7 8 9 8 7 7 7 8 9 10 10 11 12 11 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 10 9 9 9 9 10 11 10 9 8 7 8 9 nan
nan 9 12 13 12 9 7 8 9 10 9 10 10 9 7 5 4 4 5 6 8 9 9 9 8 9 10 10 8 8 9 10 9 6 3 3 5 7 8 9 9 10 9 9 8 8 9 10 11 10 10 10 9 8 7 7 9 11 12 12 11 10 9 9 8 8 8 9 9 10 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 11 10 9 9 8 8 8 7 8 8 8 10 10 9 6 5 6 7 8 8 8 8 7 7 6 6 7 8 8 9 9 9 9 8 8 8 8 8 9 9 10 10 10 9 9 8 9 10 10 9 9 8 9 8 8 7 8 9 10 10 10 10 10 9 9 9 9 8 8 9 10 10 10 10 10 9 9 9 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 9 10 10 10 10 10 9 9 8 9 9 10 11 10 9 8 7 8 10 nan
nan 7 11 13 10 6 6 9 13 15 15 13 10 5 3 2 1 -1 -0 1 3 5 7 8 8 8 8 9 9 11 12 13 12 10 6 4 3 4 6 8 9 10 9 8 8 8 9 10 11 10 10 10 9 8 7 7 8 8 8 8 8 7 7 7 8 8 8 9 9 10 10 11 12 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 9 9 9 9 8 8 8 7 8 10 10 9 6 5 6 7 8 8 9 8 8 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 8 9 11 11 12 11 9 8 8 8 8 9 10 11 11 10 9 8 8 8 8 8 7 7 8 9 10 10 10 10 9 9 10 10 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 9 8 8 8 9 9 10 10 10 9 9 8 9 10 nan
nan 9 10 9 6 4 5 11 16 19 19 15 9 5 3 3 3 3 2 2 3 4 5 6 6 7 8 8 7 8 8 10 12 13 13 11 10 11 12 12 12 11 10 8 8 9 10 11 11 11 11 11 11 11 10 10 10 9 8 8 7 7 7 8 8 9 9 9 9 10 10 11 12 11 11 10 10 9 9 10 11 12 12 12 11 10 10 10 10 9 9 9 9 8 8 8 7 8 10 11 10 7 5 6 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 8 8 8 8 9 10 11 11 12 12 11 10 9 9 9 9 10 11 11 10 9 8 8 8 9 8 7 7 8 9 10 10 10 10 9 10 10 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 9 9 9 10 10 10 9 8 7 8 9 9 10 10 9 9 9 9 9 9 9 nan
nan 12 10 6 4 4 7 12 18 20 19 16 12 8 7 8 9 10 10 8 7 6 6 7 7 7 8 7 5 4 2 3 8 13 16 16 15 17 18 17 15 12 10 9 9 10 10 11 12 12 12 13 14 14 13 13 12 11 10 9 8 8 8 9 9 10 10 10 10 10 10 11 12 12 11 11 10 10 9 9 10 11 11 11 11 11 10 10 10 9 9 9 9 8 8 8 8 9 10 11 11 8 6 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 10 10 10 11 11 12 12 12 11 11 10 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 10 10 11 10 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 9 9 9 10 11 11 11 9 8 7 8 9 10 10 9 9 9 10 10 10 10 9 nan
nan 13 9 7 6 7 9 13 16 18 17 16 15 12 11 12 15 17 17 14 11 9 9 9 9 9 9 8 7 5 2 1 4 9 13 14 14 15 16 15 14 12 11 10 10 11 11 11 12 12 13 14 14 15 14 14 13 11 10 8 8 9 9 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 10 9 9 10 11 11 11 11 11 10 10 9 9 8 8 8 8 9 10 12 12 9 8 8 9 9 9 8 7 7 7 8 8 8 8 8 9 9 9 9 10 10 10 9 9 8 7 7 8 8 9 10 10 10 11 11 11 11 11 12 12 11 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 11 11 11 10 9 8 8 8 9 9 9 9 9 9 8 8 7 7 7 8 8 8 9 9 9 9 9 9 10 10 9 10 10 10 11 11 10 9 8 8 9 9 9 9 8 9 9 10 10 11 11 10 nan
nan 9 8 10 11 11 10 10 11 13 13 14 13 11 10 12 16 18 19 17 13 11 11 11 11 11 11 12 12 11 9 6 6 8 9 11 11 9 9 9 10 11 11 10 10 10 11 11 11 11 12 13 13 13 13 12 11 10 8 8 8 9 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 11 10 10 9 9 10 11 11 11 11 11 10 10 9 9 8 8 8 9 11 12 12 10 10 10 11 10 9 8 7 7 7 7 7 7 7 8 8 9 9 9 10 10 10 10 9 8 7 7 7 8 9 9 10 10 11 11 10 11 11 11 11 10 8 8 8 7 8 9 10 10 10 9 9 9 9 10 10 9 9 10 11 11 11 11 11 10 9 8 8 8 9 9 9 9 9 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 9 9 9 8 8 9 10 10 10 10 10 nan
nan 4 5 10 14 13 10 7 6 6 7 7 6 6 7 9 12 14 15 14 12 11 12 12 13 14 15 16 16 15 13 12 9 9 9 9 9 6 3 3 6 8 9 8 9 9 10 10 10 10 11 11 11 11 10 10 9 8 8 8 8 10 11 12 13 13 13 13 13 12 12 12 12 12 12 12 13 13 12 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 9 9 9 10 12 12 12 11 11 11 12 11 10 9 8 7 7 6 6 6 7 8 8 9 9 9 10 10 10 9 8 7 6 6 7 8 9 9 9 10 10 11 11 11 11 11 10 9 8 8 8 8 8 9 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 9 9 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 11 11 11 10 10 9 9 8 8 8 9 9 10 10 nan
nan 3 2 8 13 12 9 5 3 4 5 4 4 5 6 6 7 8 9 10 9 10 12 14 15 15 15 15 15 14 14 13 12 10 10 9 8 6 3 3 5 6 7 7 7 8 9 9 9 9 10 10 10 10 10 9 9 9 8 8 9 11 12 12 13 13 13 13 13 12 11 11 11 11 11 11 12 13 12 11 10 9 9 10 10 10 10 10 10 9 9 10 11 11 10 10 10 12 13 12 11 11 11 11 11 11 10 10 9 8 8 7 7 7 8 9 9 10 9 10 10 10 9 9 8 8 7 7 8 9 9 9 9 10 10 11 11 11 11 10 9 8 8 9 9 8 9 9 10 10 10 11 11 10 10 9 9 9 9 9 8 8 9 9 9 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 10 9 8 7 7 8 9 10 10 nan
nan 6 3 4 7 9 7 5 4 5 6 8 9 9 8 7 7 8 8 7 7 8 10 12 13 13 11 11 12 13 13 13 12 12 11 11 10 9 7 7 7 7 6 6 7 8 8 8 8 8 9 10 10 11 11 11 10 9 9 9 10 11 11 12 12 12 12 12 12 11 10 10 10 10 10 11 12 12 11 10 10 9 10 10 10 10 10 10 9 9 9 10 10 10 10 10 11 13 13 12 10 10 9 9 10 10 10 10 10 9 9 9 9 10 10 11 11 10 10 10 10 9 8 8 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 9 9 8 8 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 9 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 11 10 9 8 7 7 8 9 10 10 nan
nan 8 4 2 3 5 6 6 5 4 5 8 11 12 12 11 10 10 9 7 6 6 7 8 9 8 7 8 10 10 11 11 12 12 13 14 14 13 11 9 9 8 6 6 6 7 7 7 7 7 8 10 11 12 12 12 12 11 10 10 11 11 11 11 11 11 11 11 11 10 10 9 9 10 10 10 11 11 10 10 9 9 10 10 11 10 10 9 9 9 9 9 9 9 10 10 12 13 12 10 9 8 7 8 9 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 8 8 9 10 11 11 10 10 9 10 10 10 10 10 10 10 10 9 8 8 8 9 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 9 9 10 10 9 8 8 9 10 10 10 nan
nan 8 6 4 4 6 8 8 6 4 4 6 9 11 12 12 11 10 8 7 6 6 6 7 7 7 7 7 8 8 9 10 11 13 15 17 17 14 10 9 8 8 7 6 5 6 6 6 6 7 8 10 12 13 14 14 14 13 12 12 11 11 12 11 11 11 11 10 10 10 10 9 10 10 11 10 10 10 10 9 10 10 10 10 10 10 10 9 9 9 9 8 8 9 10 10 11 12 11 9 7 7 7 8 9 10 10 10 10 10 10 11 11 10 10 10 9 9 9 8 8 8 8 9 10 11 12 11 10 10 10 9 9 10 10 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 9 9 10 10 10 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 8 7 7 7 8 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 8 7 7 8 9 10 9 9 9 9 10 10 10 nan
nan 8 8 8 8 9 10 9 7 5 5 6 7 8 9 9 10 9 7 7 7 7 8 9 10 10 8 7 7 7 8 9 11 14 17 19 17 12 8 6 6 6 6 6 5 5 4 4 5 7 9 12 14 15 15 15 15 15 14 13 12 12 12 12 11 11 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 11 11 11 10 9 8 9 9 9 9 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 11 11 11 10 10 10 9 8 8 8 9 9 9 9 8 8 9 9 9 10 10 9 9 9 9 9 9 8 8 8 7 7 8 8 9 9 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 8 7 7 8 9 9 9 9 9 9 9 9 9 nan
nan 8 8 8 9 11 11 10 8 6 6 5 6 7 7 7 7 8 8 8 7 8 9 10 11 11 10 8 7 7 8 9 11 13 16 18 16 11 8 5 5 6 6 6 6 4 2 2 3 6 10 13 15 15 16 17 17 16 15 14 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 7 7 6 7 8 9 9 9 9 10 10 11 11 10 10 10 9 9 8 8 7 8 8 8 8 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 9 9 10 10 10 10 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 9 nan
nan 8 7 7 9 11 13 12 9 7 5 3 3 4 6 7 8 9 11 11 9 8 7 8 9 10 9 8 7 7 7 8 9 10 13 14 14 11 9 7 6 6 6 7 6 5 3 2 4 7 10 12 14 15 16 17 18 17 16 15 15 15 15 14 13 13 12 12 12 12 12 12 12 12 11 10 10 11 12 12 10 9 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 10 10 10 10 9 9 9 9 9 9 8 8 7 7 6 7 8 8 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 9 9 8 8 8 8 9 10 11 11 11 10 9 8 9 9 9 9 9 9 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
2175 1758 1291 860 446 161 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 5 10 6 3 3 4 9 11 5 0 0 0 1 1 1 18 42 58 76 99 122 140 147 148 158 191 262 371 497 700 1147 1636 2096 2451 2634 2706 2721 2697 2708 2741 2719 2637 2638 2657 2624 2595 2573 2476 2356 2201 2004 1790 1615 1508 1420 1352 1238 1068 890 746 616 464 308 204 157 140 128 114 102 81 46 19 7 4 6 14 24 33 35 35 41 50 52 52 54 60 67 78 82 85 90 95 109 123 133 142 152 155 145 130 113 103 97 93 86 79 70 65 64 61 57 55 56 58 54 47 47 42 37 30 23 17 6 1 0 0 0 0 0 1 3 5 4 7 10 12 14 16 19 22 24 27 30 38
1796 1468 1100 609 203 34 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 4 4 10 13 10 5 1 2 10 21 17 8 9 26 50 71 97 128 167 198 201 190 206 261 353 471 591 812 1198 1621 1991 2238 2414 2604 2712 2698 2700 2716 2736 2704 2737 2734 2716 2682 2616 2553 2466 2266 2046 1860 1689 1579 1502 1410 1273 1112 940 784 656 518 372 254 179 146 131 115 100 78 42 15 4 3 4 11 21 30 33 35 40 47 51 50 49 53 63 76 83 88 96 107 118 129 137 150 168 172 146 116 106 99 98 91 88 79 68 59 53 51 52 55 60 64 61 53 49 42 37 28 21 11 3 0 0 0 0 0 0 0 0 0 0 1 3 5 8 12 15 17 19 21 23 27
1367 1027 583 237 67 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 6 6 5 3 3 11 30 46 42 25 23 40 63 86 124 175 240 293 294 267 290 369 458 567 680 920 1288 1649 1963 2150 2273 2518 2703 2693 2670 2682 2763 2762 2797 2760 2775 2723 2695 2632 2521 2316 2094 1909 1748 1636 1560 1445 1271 1098 959 835 724 575 404 261 176 149 141 120 100 74 42 18 5 4 4 11 19 27 30 33 38 44 48 49 47 48 56 73 82 91 100 117 129 138 149 163 178 184 157 119 105 100 95 86 77 68 56 45 39 38 40 46 56 65 66 63 52 43 37 27 17 6 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 8 12 14 17 20 22
1142 804 363 85 10 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 2 3 3 1 0 0 0 0 0 0 0 0 5 21 48 72 73 50 40 52 74 103 145 210 311 398 405 369 391 462 536 626 728 1021 1360 1641 1873 2010 2128 2440 2680 2669 2636 2638 2703 2774 2816 2764 2771 2738 2696 2618 2492 2314 2135 1982 1850 1741 1631 1475 1272 1105 1025 864 770 645 473 331 242 190 153 121 98 70 42 22 7 4 6 8 13 20 26 29 32 37 42 45 46 46 53 68 76 88 98 117 133 149 166 179 190 192 167 129 103 98 92 72 60 57 52 40 30 27 30 40 53 63 65 62 51 43 36 26 16 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 8 12 16 19
970 703 271 44 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 14 14 6 0 0 0 0 0 2 3 4 11 28 59 87 90 75 66 76 89 134 220 313 409 491 500 470 490 543 615 675 773 1112 1389 1595 1752 1874 2046 2369 2610 2643 2623 2624 2691 2782 2808 2756 2740 2696 2621 2524 2396 2270 2160 2049 1914 1766 1625 1454 1276 1166 1092 894 831 732 566 425 329 241 165 123 98 74 47 23 8 5 6 6 8 14 19 23 26 30 36 41 43 47 54 63 70 84 98 118 139 159 176 187 188 178 163 142 114 98 84 60 52 52 42 29 22 26 36 48 58 64 66 58 48 43 36 24 16 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 11
734 348 51 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 0 0 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 11 21 25 14 1 1 2 3 7 13 19 20 22 38 74 114 116 101 93 104 140 233 351 476 549 584 582 565 580 620 671 725 832 1162 1382 1511 1564 1715 1936 2264 2540 2636 2639 2651 2713 2795 2815 2757 2705 2616 2506 2392 2297 2241 2188 2092 1935 1741 1583 1442 1329 1307 1160 958 920 799 643 495 366 260 179 128 98 78 52 22 7 7 7 7 8 9 13 16 20 26 32 37 41 48 54 59 67 82 99 122 147 169 188 200 199 181 157 155 141 116 87 69 58 51 37 26 25 34 46 56 62 65 67 54 48 43 34 24 16 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
482 69 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 2 5 14 21 17 8 10 16 25 35 43 45 39 34 45 74 108 123 101 106 125 149 237 420 580 648 655 652 653 659 681 720 778 897 1168 1339 1399 1445 1609 1873 2205 2488 2629 2661 2671 2699 2764 2800 2729 2641 2521 2399 2267 2245 2228 2171 2050 1872 1711 1591 1504 1456 1440 1276 1124 1023 858 698 535 384 279 202 134 97 75 53 28 10 11 11 9 8 7 9 12 15 20 27 33 38 45 49 53 64 80 96 118 145 174 199 213 211 190 171 173 166 151 123 104 85 66 49 38 36 41 49 57 62 67 74 58 50 42 32 24 18 10 3 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 0 1 0 0
282 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 20 23 30 44 54 60 59 57 48 38 45 80 120 133 125 117 125 127 230 468 643 708 710 711 718 725 745 783 837 962 1144 1251 1272 1333 1524 1836 2189 2475 2626 2675 2688 2695 2735 2761 2673 2549 2403 2353 2269 2240 2193 2114 2005 1862 1735 1654 1607 1582 1503 1277 1137 1063 888 717 591 440 299 215 144 98 74 52 31 12 14 12 10 7 7 9 10 11 15 21 27 34 38 42 49 65 80 90 107 135 168 198 215 221 224 210 203 204 211 198 163 130 93 58 41 40 46 53 64 72 79 88 78 69 56 40 26 16 7 0 0 0 0 0 0 0 0 0 0 1 1 1 3 7 9 4 3 3 2 3 3
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