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 10 10 10 9 10 9 9 9 9 8 8 7 6 5 5 5 6 7 7 7 6 6 7 7 7 8 9 9 10 11 11 11 10 10 11 12 12 12 11 11 11 12 12 12 11 11 11 11 11 9 8 7 6 6 7 8 8 8 8 8 8 8 9 9 9 9 10 10 11 11 11 11 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 9 9 8 8 8 9 9 9 10 10 10 11 11 11 10 10 10 10 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 10 10 9 8 8 7 8 9 9 10 10 9 9 9 9 10 10 11 11 10 10 9 9 9 9 9 10 10 nan
nan 10 9 9 9 9 9 9 8 8 8 7 6 6 5 5 5 5 6 6 6 5 6 6 7 7 7 8 9 9 8 8 7 6 6 7 8 8 7 7 6 7 7 7 7 6 6 5 4 2 1 -1 -1 -0 2 4 7 8 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 10 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 8 10 10 9 9 8 8 8 9 10 10 10 9 8 9 9 9 10 11 11 11 10 9 9 9 9 9 9 10 nan
nan 9 9 10 10 10 10 10 9 9 9 8 8 8 8 7 6 6 5 5 4 4 4 5 6 7 7 8 8 6 5 4 4 4 5 5 4 4 4 3 3 3 2 2 2 1 1 -0 -2 -3 -3 -3 -2 0 3 6 9 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 8 8 8 9 9 9 9 9 9 10 11 11 10 10 9 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 8 7 6 7 7 8 9 9 9 8 8 8 9 9 8 8 7 7 9 10 10 10 9 9 9 9 10 10 9 8 8 8 9 10 11 11 11 11 11 10 10 10 10 10 10 10 nan
nan 10 10 10 10 10 10 11 10 10 9 8 7 7 6 6 5 5 4 4 4 4 4 5 6 7 7 7 6 4 3 3 3 3 4 3 3 2 2 2 2 2 1 1 1 0 1 1 1 1 2 3 4 6 8 9 10 11 12 12 12 12 11 11 10 10 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 9 9 10 11 10 10 9 9 9 9 9 10 9 9 9 9 10 11 11 10 9 8 8 9 10 10 9 9 8 8 9 9 9 9 9 9 8 7 6 6 8 10 10 10 9 8 8 8 8 8 8 8 7 8 9 10 11 11 10 10 10 9 9 9 9 9 9 10 12 12 11 11 10 11 11 11 11 10 11 11 10 11 nan
nan 10 9 9 9 9 9 8 7 6 5 4 2 1 1 1 2 4 4 5 5 5 6 7 8 8 7 6 5 4 4 4 4 4 5 4 4 4 4 5 5 5 5 4 4 4 5 6 6 7 8 9 9 10 10 11 11 12 13 13 13 12 12 11 10 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 10 10 10 9 9 10 10 10 9 9 9 9 10 10 11 10 9 9 10 10 11 11 10 9 8 9 10 11 11 10 9 8 8 9 10 9 8 8 7 7 7 7 8 11 13 12 10 9 9 8 7 7 8 8 9 9 9 10 10 11 11 11 11 10 10 9 9 10 11 12 12 13 12 11 10 10 10 10 10 10 11 12 12 12 12 nan
nan 8 7 6 5 4 3 1 0 -1 -1 -2 -1 -1 0 2 4 5 6 7 7 8 8 9 9 8 8 7 6 6 6 7 7 7 7 8 8 7 8 8 8 8 8 8 8 8 9 10 10 11 11 11 11 12 12 13 13 14 15 14 14 13 12 10 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 9 9 10 10 9 9 9 10 10 11 11 11 10 9 9 9 11 11 10 9 8 9 11 12 12 10 9 8 9 10 10 9 8 7 7 7 8 9 10 12 12 11 9 9 8 7 6 7 8 9 10 10 10 10 11 12 11 11 10 10 10 10 10 12 14 13 12 12 11 11 10 9 9 9 10 11 13 14 14 14 13 nan
nan 3 2 1 0 -1 -3 -4 -4 -3 -2 -0 2 4 6 7 8 9 9 9 9 10 10 10 9 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 12 12 13 13 13 14 14 14 14 14 15 16 15 14 12 10 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 9 9 9 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 11 11 11 10 9 8 8 10 11 10 9 9 9 11 12 11 10 9 8 8 9 9 9 8 8 8 8 8 9 10 10 9 8 8 9 9 8 7 8 9 11 10 9 9 10 12 12 11 10 10 11 11 11 12 13 13 12 11 10 10 10 9 8 8 9 11 12 12 13 13 13 13 nan
nan -2 -2 -2 -2 -1 -1 -1 1 2 4 6 8 9 11 11 11 11 11 10 10 10 10 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 11 11 11 12 12 13 14 14 15 15 15 17 18 18 17 15 13 12 10 8 6 4 3 4 5 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 9 7 7 8 10 11 10 10 9 9 10 11 10 9 8 8 8 8 9 9 9 9 8 8 8 9 10 9 8 8 9 10 9 9 8 9 10 11 10 9 9 11 11 11 9 9 9 11 11 12 12 12 11 10 10 9 8 9 9 9 10 10 10 10 10 10 11 12 11 nan
nan -1 0 1 2 4 5 6 8 9 10 11 11 12 12 12 11 11 10 10 9 9 8 8 8 8 8 9 9 9 10 10 11 11 11 11 11 12 13 13 14 14 15 15 16 16 15 15 14 15 16 14 11 9 6 4 1 -1 -1 -1 1 3 5 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 8 7 7 8 10 11 11 10 9 9 10 10 10 9 8 8 8 9 9 9 9 9 8 8 9 10 10 9 8 9 10 10 10 9 9 10 10 10 9 10 11 11 11 9 8 8 10 11 11 11 11 11 10 10 9 8 7 7 8 10 11 10 8 8 8 9 10 11 9 nan
nan 5 6 7 8 9 10 11 11 12 12 11 11 11 11 11 10 9 9 8 8 7 7 8 8 8 9 9 9 10 11 11 12 12 12 12 13 14 15 15 14 14 14 13 13 12 11 10 9 7 4 1 0 -0 0 0 0 0 1 3 5 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 10 11 11 9 8 9 10 10 11 10 9 8 9 9 8 9 9 8 8 9 10 10 9 8 8 9 10 10 10 9 9 10 9 9 9 10 11 11 10 8 8 9 11 11 11 11 11 10 9 9 8 7 6 6 7 9 10 9 8 9 10 10 10 10 9 nan
nan 10 10 11 11 10 10 10 11 10 10 10 10 10 9 9 8 8 7 7 7 7 7 8 8 9 9 10 10 11 11 12 12 12 12 12 12 13 13 12 11 10 9 7 6 4 3 2 1 -1 -4 -5 -3 -1 1 3 5 6 7 8 8 8 8 7 8 8 8 8 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 9 9 9 9 9 10 9 9 9 8 8 9 10 10 11 10 9 9 9 10 10 11 10 9 9 8 8 8 8 9 9 9 10 10 9 7 6 7 10 10 10 10 9 9 9 9 9 10 11 11 10 9 9 9 10 11 11 10 10 10 10 9 8 7 7 6 7 8 10 10 10 9 10 12 11 10 10 10 nan
nan 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 10 10 9 9 9 9 8 8 8 8 8 8 7 6 5 4 2 1 -0 -1 -1 -2 -2 -2 -1 1 3 6 7 8 9 10 9 9 8 8 7 7 8 8 8 8 9 9 9 9 8 9 9 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 11 11 10 10 10 10 10 10 9 9 9 10 10 10 10 10 9 9 9 10 10 11 10 9 9 9 9 9 10 10 9 9 9 8 9 9 9 10 10 9 10 9 7 6 6 8 10 10 10 10 9 9 9 9 9 10 11 10 10 9 9 10 11 11 10 10 9 9 9 9 8 7 7 7 8 9 9 10 10 11 12 11 10 10 10 10 nan
nan 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 6 6 5 4 4 4 4 4 4 3 2 1 0 0 0 0 0 1 1 2 3 4 7 9 11 12 12 12 11 10 9 8 8 7 7 7 8 8 8 8 8 8 8 8 9 9 8 8 8 8 9 9 9 9 9 10 10 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 11 11 10 9 9 9 9 9 9 9 8 8 9 10 10 10 10 9 9 9 9 8 7 6 8 9 10 10 10 9 9 8 8 8 9 10 10 10 9 9 9 10 11 10 10 8 8 8 9 8 7 7 7 7 8 8 9 10 11 11 12 11 9 9 9 10 nan
nan 8 7 7 6 6 6 6 6 7 7 7 8 8 8 8 8 7 7 7 7 7 6 6 6 6 5 4 4 4 3 3 3 3 3 3 3 2 1 1 2 2 3 4 5 6 7 8 10 11 12 14 14 14 13 12 11 10 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 10 9 9 8 8 8 9 10 9 9 9 9 9 9 8 8 7 8 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 7 7 7 8 7 7 6 6 7 7 8 9 9 10 10 10 10 10 9 10 10 nan
nan 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 6 6 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 6 6 7 7 8 9 11 12 12 13 13 13 13 13 13 13 12 11 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 7 7 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 11 11 11 11 9 8 9 10 9 9 8 8 8 9 9 9 8 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 10 10 9 7 6 6 6 7 7 6 6 7 8 8 8 9 9 9 10 10 10 10 10 11 11 nan
nan 5 5 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 10 10 9 9 9 8 9 9 9 9 9 9 10 10 11 12 12 12 12 11 11 11 12 12 11 10 9 8 8 7 7 7 7 7 7 7 7 7 8 7 7 7 7 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 12 13 14 14 13 13 12 11 10 10 11 12 11 10 9 9 9 9 9 8 8 8 9 9 9 9 9 8 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 10 10 9 7 6 5 5 6 7 8 8 8 9 8 8 8 9 9 9 9 10 10 11 12 12 12 nan
nan 6 7 7 8 8 9 9 9 9 8 8 8 8 8 9 9 9 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 11 12 14 15 17 16 15 14 13 12 11 10 11 12 12 11 11 11 10 9 9 8 8 7 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 10 10 10 9 9 9 9 9 10 10 9 8 6 6 6 6 7 8 9 9 10 9 8 8 8 8 8 9 9 10 10 11 13 13 13 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 11 11 12 11 11 10 9 8 7 7 6 7 7 8 8 7 7 7 7 8 8 10 11 11 9 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 8 8 10 12 15 16 16 16 15 15 14 13 11 11 11 12 12 13 13 13 11 9 8 8 7 7 8 9 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 9 9 10 10 10 8 7 6 6 7 8 9 10 10 10 9 8 8 8 8 9 9 10 10 10 11 11 12 13 13 nan
nan 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 12 12 12 11 11 10 8 6 6 6 6 7 8 8 8 8 7 7 8 8 10 12 12 12 11 9 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 8 6 5 6 9 12 13 13 13 14 14 13 12 12 11 11 11 11 12 13 14 12 10 9 8 7 8 9 9 8 7 7 7 8 8 9 10 10 9 9 9 9 9 10 10 10 10 10 9 9 8 8 9 9 9 10 9 8 8 8 8 8 9 10 10 9 9 8 7 7 8 8 9 10 10 11 11 11 11 12 13 14 nan
nan 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 9 9 10 10 11 11 12 13 13 14 14 14 13 13 13 13 13 13 13 12 10 7 6 6 5 6 7 8 8 8 8 8 8 7 7 7 9 11 12 13 12 10 9 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 7 4 3 3 5 7 7 8 10 11 11 11 11 11 10 9 8 8 9 10 11 11 10 10 9 8 8 9 9 9 8 8 8 8 8 9 10 10 10 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 10 10 9 9 8 8 8 8 8 8 8 9 9 10 11 11 11 11 11 12 13 13 nan
nan 8 8 8 8 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 10 10 11 11 12 12 11 11 11 11 11 12 13 13 13 14 14 15 15 14 13 12 12 12 13 13 13 13 11 8 7 7 7 6 7 7 8 8 8 8 7 6 5 4 4 7 9 11 12 12 10 9 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 8 6 5 4 3 3 3 3 5 6 7 7 7 8 8 8 6 5 5 5 6 7 8 9 9 9 9 9 9 9 10 10 10 9 9 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 7 8 8 9 9 10 10 10 10 9 9 7 7 8 8 9 9 9 10 10 10 10 10 10 10 11 11 12 12 nan
nan 9 10 10 10 11 11 10 10 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 12 12 12 12 12 12 13 13 12 13 13 13 13 12 12 11 11 11 12 12 13 12 11 10 9 9 9 8 7 7 7 7 7 7 7 6 4 2 2 3 4 6 8 11 12 11 9 8 8 9 9 9 9 9 10 9 9 9 9 10 10 11 11 10 10 10 9 9 8 8 7 7 6 5 4 3 4 5 5 5 5 5 5 4 3 2 2 3 4 4 5 7 8 9 10 11 12 12 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 7 7 7 8 9 9 9 10 10 10 10 9 9 8 8 8 8 8 9 9 10 10 10 10 9 9 9 10 10 10 10 10 nan
nan 11 12 13 13 13 13 12 12 13 13 13 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 10 10 9 8 7 7 7 7 7 7 6 5 3 3 3 3 3 5 8 11 12 11 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 10 10 9 9 9 9 9 9 9 9 9 8 7 7 8 8 8 6 4 4 3 2 1 1 2 3 4 5 6 7 8 10 11 12 14 14 13 10 9 8 8 9 9 10 11 11 11 10 10 10 10 10 10 10 9 9 8 8 9 10 11 11 10 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 10 9 9 8 8 8 8 8 8 8 9 nan
nan 13 13 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 13 13 14 14 14 14 14 14 13 13 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 10 10 9 8 7 7 7 7 7 7 7 6 5 6 6 6 5 5 8 10 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 10 10 11 12 12 9 7 5 3 1 1 1 2 3 5 6 7 8 9 10 12 13 15 15 13 12 11 10 9 9 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 10 11 11 11 10 10 10 9 9 8 8 8 8 8 8 8 8 7 7 8 9 9 8 7 6 6 7 8 8 8 8 8 nan
nan 12 12 12 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 13 13 14 14 14 13 13 12 12 11 11 11 10 10 10 10 10 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 10 10 9 9 9 8 8 7 7 7 7 7 6 6 7 7 7 7 7 9 10 11 11 11 10 10 9 10 10 11 11 11 10 10 10 11 11 10 9 8 9 9 10 10 9 9 9 9 10 10 10 10 10 12 12 12 10 8 5 3 2 2 2 3 5 7 8 9 10 11 13 14 15 15 15 14 13 12 12 11 10 10 9 10 10 10 10 9 8 8 8 7 8 8 9 9 9 9 8 8 8 9 9 7 7 7 8 8 8 8 8 7 7 8 9 9 9 8 6 6 7 8 9 9 9 8 8 nan
nan 11 10 9 9 8 8 9 10 10 11 11 11 11 10 10 10 10 10 10 11 12 13 13 13 12 12 11 11 11 10 9 9 9 9 10 10 9 9 10 10 10 11 11 11 11 10 10 10 11 11 11 11 12 12 12 12 12 10 9 9 9 8 8 8 8 7 7 8 7 7 6 6 6 7 7 8 9 10 10 11 12 12 11 10 9 10 11 11 11 11 10 10 10 10 10 9 8 8 9 10 11 10 9 8 8 9 11 12 11 8 7 7 9 10 11 10 8 6 6 5 4 4 6 8 9 11 12 14 15 16 17 17 15 14 13 12 12 12 11 10 9 9 9 10 11 10 8 7 6 6 6 7 7 7 7 7 7 8 8 9 8 7 8 8 8 8 8 7 7 7 8 9 10 11 9 8 7 7 8 10 10 10 10 9 8 nan
nan 10 9 9 8 8 9 10 10 10 11 11 10 10 10 9 9 9 9 9 10 11 11 11 11 11 11 10 10 10 9 9 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 10 10 11 11 11 12 12 12 12 11 10 9 8 8 8 8 7 7 7 7 7 7 7 6 6 6 7 7 8 9 10 11 12 12 12 10 9 8 10 11 11 11 10 10 10 10 10 9 9 8 9 9 10 11 10 9 8 8 10 13 14 12 8 5 4 5 8 10 10 9 9 8 7 6 7 8 9 11 13 15 16 17 17 18 17 14 12 11 11 12 13 13 12 11 11 11 11 11 10 9 7 5 5 6 6 6 7 7 8 10 10 10 10 9 9 10 10 9 8 7 7 6 7 9 11 11 10 8 7 7 8 9 9 10 9 9 8 7 nan
nan 10 9 9 8 9 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 12 12 12 11 10 9 8 7 7 8 7 7 7 7 7 7 7 6 6 6 7 7 8 9 10 11 12 13 10 8 7 8 9 11 11 10 10 9 10 9 9 9 9 9 10 10 10 10 10 9 8 9 12 14 14 12 9 5 5 6 7 9 9 10 10 9 9 9 9 9 10 12 14 15 16 16 17 16 14 12 10 11 12 13 15 15 16 16 15 14 12 10 9 8 7 6 6 6 7 7 8 10 11 11 11 10 9 10 11 12 12 10 9 8 7 7 9 10 10 9 7 6 6 7 7 8 8 8 8 7 6 6 nan
nan 9 9 9 9 9 10 10 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 10 9 8 8 8 8 8 7 7 7 7 7 7 6 6 6 7 7 8 9 10 11 13 13 10 7 6 8 10 11 11 10 9 9 9 9 9 8 9 10 10 10 10 10 9 9 9 11 13 14 14 12 8 6 6 7 8 8 9 10 10 9 9 9 10 10 10 11 12 13 13 13 13 12 11 10 10 11 13 15 16 17 18 18 19 17 14 11 10 9 8 7 7 7 7 9 10 11 11 10 8 7 7 9 11 12 11 10 9 8 7 8 8 8 7 5 5 5 7 7 7 7 7 7 6 6 7 8 nan
nan 10 9 9 9 9 10 10 10 10 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 8 8 8 8 8 7 8 8 8 8 7 6 6 6 7 7 8 9 10 12 14 13 11 8 7 8 10 11 11 10 9 9 9 9 9 9 10 10 10 10 10 9 9 9 11 13 14 14 13 11 8 6 6 6 7 8 9 10 9 9 9 10 10 10 10 10 11 11 11 12 11 10 10 10 10 11 12 13 14 15 16 17 18 18 15 13 11 10 9 8 8 8 9 11 12 11 10 9 7 6 7 8 10 11 10 10 9 8 8 8 7 6 5 5 6 7 8 8 8 8 8 8 8 9 10 11 nan
nan 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 11 11 11 11 10 9 8 8 8 8 8 8 8 8 8 7 7 6 7 7 7 8 8 10 12 14 13 11 9 8 9 10 10 10 10 9 9 9 9 10 10 10 10 10 11 10 9 9 10 12 14 14 13 13 11 9 7 6 6 6 8 9 9 8 8 9 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 12 12 13 14 14 14 13 12 11 11 10 9 9 10 11 12 12 11 10 9 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 12 12 13 14 nan
nan 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 12 12 11 10 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 10 12 13 13 12 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 10 10 11 12 13 12 12 12 12 11 9 7 6 6 7 7 8 8 9 10 10 10 9 8 9 9 9 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 9 9 10 11 12 11 11 10 9 7 7 6 6 7 8 8 9 10 10 10 11 11 12 13 14 14 14 13 13 13 13 13 14 14 14 14 14 15 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 12 12 12 11 10 9 8 7 7 6 6 7 8 8 7 7 7 7 7 7 8 9 10 12 13 12 11 10 11 11 11 10 10 9 9 9 9 8 9 9 10 10 10 11 11 11 11 11 11 10 9 10 11 13 12 11 9 6 5 5 6 7 9 11 12 12 11 10 9 8 8 7 7 7 8 10 11 12 11 11 10 9 9 9 9 8 7 7 7 7 7 7 8 7 8 8 8 8 7 6 5 4 4 4 3 4 5 6 7 9 10 11 12 13 13 14 15 15 15 14 14 14 15 15 15 15 14 13 13 13 nan
nan 9 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 9 9 9 9 8 7 7 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 11 10 9 8 7 6 5 5 6 8 8 8 7 7 7 7 7 8 9 11 13 13 11 9 9 10 11 11 10 9 9 9 9 9 8 8 9 9 9 10 10 11 11 11 10 9 8 7 8 11 13 14 14 11 7 5 5 4 5 7 10 12 13 12 11 10 9 8 7 7 7 9 10 12 12 12 11 9 9 9 10 9 9 8 7 6 5 5 5 4 4 4 3 3 3 3 2 2 1 1 1 2 2 3 4 5 5 7 8 10 12 12 12 13 13 14 14 14 14 15 15 14 13 12 11 11 11 nan
nan 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 9 9 9 9 8 8 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 13 13 13 12 10 9 8 8 7 6 6 6 8 8 8 8 7 7 7 7 8 10 12 13 12 9 8 9 11 11 10 9 8 9 9 9 9 9 9 10 10 10 9 9 10 10 10 8 7 7 7 9 11 14 16 16 12 9 7 5 2 1 4 7 10 11 11 10 10 9 8 7 7 7 8 10 11 12 12 11 10 10 11 11 12 13 12 10 9 7 6 5 4 3 2 1 1 1 1 1 2 3 3 4 5 5 6 5 4 3 3 4 6 8 9 10 11 12 12 12 12 13 13 12 11 11 10 10 10 10 nan
nan 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 7 7 8 8 9 9 10 10 10 10 10 9 9 9 9 10 11 12 13 14 14 13 13 14 13 13 12 10 9 8 8 7 7 6 7 7 8 8 8 7 7 7 7 8 9 11 12 10 9 9 11 12 11 9 8 8 9 9 9 9 9 10 10 11 10 9 8 9 8 8 8 8 8 9 10 12 15 16 16 14 11 8 5 0 -2 0 3 6 8 8 8 8 7 7 7 7 7 8 9 10 10 11 10 11 11 12 13 14 14 13 12 11 9 8 8 7 7 6 5 4 4 5 6 7 8 9 10 11 11 11 10 8 5 4 3 3 5 7 9 11 11 11 11 11 12 12 11 10 10 9 9 9 9 nan
nan 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 7 7 7 8 8 9 9 9 9 9 9 9 8 8 8 9 11 13 14 15 15 14 14 14 13 13 12 10 9 9 8 8 8 7 7 7 8 8 8 8 7 7 7 8 9 10 10 10 10 11 12 12 10 9 8 8 9 9 10 10 10 10 10 10 10 8 8 7 6 6 8 9 10 10 10 11 14 16 16 15 12 9 4 -1 -2 -1 2 4 5 6 6 7 7 7 7 8 8 9 9 9 9 10 11 12 12 12 12 13 13 12 12 11 10 10 10 11 12 12 12 13 13 13 13 14 14 15 15 16 16 16 15 13 11 9 7 6 6 8 9 10 9 9 10 11 11 11 11 10 9 8 8 8 8 nan
nan 9 9 9 9 9 9 9 8 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 7 7 7 8 8 8 8 9 9 9 9 9 8 8 8 9 10 12 14 15 14 14 13 13 13 13 12 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 12 12 10 9 8 8 9 10 10 10 10 10 10 10 10 10 9 8 7 5 6 8 11 12 12 11 11 13 15 15 15 13 9 5 1 -1 -0 2 3 5 6 7 7 8 8 8 8 8 8 9 9 9 10 12 13 13 13 12 11 10 9 9 9 9 10 12 14 16 18 19 20 20 20 19 19 19 20 20 20 20 21 20 19 17 14 12 10 9 8 8 7 7 8 9 10 11 11 10 10 8 8 8 8 8 nan
nan 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 11 12 13 13 13 12 12 12 12 12 12 11 11 10 9 9 9 9 9 9 8 8 8 8 8 8 8 9 8 9 9 10 11 10 10 9 9 9 9 10 11 11 11 10 10 11 11 11 10 10 8 7 7 9 11 13 13 12 11 12 12 13 14 13 11 6 3 1 1 2 2 4 5 7 8 9 8 8 8 8 8 8 8 9 10 12 14 14 13 10 8 7 6 6 6 7 8 11 14 16 19 20 22 22 22 22 22 23 23 23 23 23 24 23 22 20 17 14 12 9 8 6 6 6 7 9 10 10 10 10 9 8 8 8 8 9 nan
nan 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 12 12 11 11 11 12 12 12 11 10 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 11 11 11 11 11 10 10 10 10 11 12 13 12 11 10 9 10 12 13 11 8 5 3 2 1 1 2 4 7 8 9 9 9 8 8 7 7 8 9 11 13 14 14 12 9 6 4 4 5 5 6 7 9 11 13 14 16 18 18 19 19 21 22 22 22 21 20 21 22 21 21 19 16 13 11 10 8 7 7 8 10 11 11 11 10 9 8 8 8 9 9 nan
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nan 13 13 13 12 11 11 11 11 11 11 11 11 10 9 8 7 6 5 7 8 10 10 11 11 11 11 11 11 12 12 13 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 13 12 12 12 12 13 13 14 15 15 16 17 17 15 13 12 12 13 15 17 17 18 18 19 20 21 20 18 15 13 11 11 11 12 12 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 12 13 14 13 12 12 11 12 12 12 12 12 12 12 12 12 12 13 14 14 14 14 14 nan
nan 10 11 12 12 11 10 9 10 10 10 10 10 10 9 9 8 7 7 8 9 10 10 11 12 12 12 12 12 12 13 13 13 12 12 12 12 11 11 10 10 10 11 11 12 12 12 12 12 12 12 12 13 12 12 13 13 13 14 14 15 14 12 12 12 12 13 13 13 13 13 14 14 15 15 14 13 11 10 11 12 13 13 13 12 12 12 12 12 12 11 11 11 12 11 11 11 11 11 11 11 11 11 11 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 12 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 nan
nan 8 9 10 9 8 6 6 6 6 7 8 9 9 10 10 10 9 9 9 9 10 10 11 12 13 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 10 11 11 11 11 12 12 11 12 12 12 12 11 11 10 10 10 11 11 11 11 12 12 13 13 13 12 12 11 11 11 11 12 13 13 12 10 10 11 12 13 13 13 12 12 11 11 11 11 11 10 11 11 11 11 10 10 10 10 11 11 11 11 10 11 11 12 12 12 12 11 11 11 11 11 11 11 10 10 11 11 11 11 10 11 11 11 10 10 11 11 11 11 11 11 11 10 10 10 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 12 12 12 12 12 13 13 12 12 11 11 11 11 12 12 12 nan
nan 8 9 8 7 5 4 3 4 5 7 8 9 9 10 10 10 10 10 10 10 10 10 11 12 13 13 13 12 12 12 12 12 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 10 11 12 13 13 12 12 11 10 10 9 10 11 13 13 12 11 11 11 12 13 12 12 12 12 11 11 11 11 11 10 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 11 11 11 12 12 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 nan
nan 9 9 9 8 6 4 4 5 7 9 9 10 10 11 11 11 11 11 11 11 10 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 11 11 10 9 9 9 9 9 9 10 11 12 12 12 11 10 10 9 8 9 9 10 11 12 12 12 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 10 10 10 10 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 12 12 13 13 13 14 13 13 13 12 12 12 12 12 13 13 12 11 11 11 10 10 nan
nan 9 9 10 9 8 7 7 7 9 10 10 11 11 12 12 12 12 12 12 11 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 11 11 9 9 8 9 9 10 10 11 12 11 9 8 8 8 8 8 8 8 8 9 11 12 12 11 10 10 11 12 12 12 12 12 11 11 11 10 10 11 11 11 11 11 11 10 10 10 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 10 10 10 11 11 11 11 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 12 12 13 13 13 13 14 13 13 13 12 11 12 12 13 13 12 12 11 11 10 10 nan
nan 10 10 10 10 10 10 9 9 9 9 10 11 13 13 13 13 13 12 12 11 10 9 9 10 11 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 11 11 12 12 12 12 11 10 9 9 10 10 11 11 10 9 7 5 4 5 7 8 8 8 8 8 9 11 11 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 12 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 10 10 11 11 11 11 10 10 10 11 11 11 11 10 10 10 11 12 12 13 13 13 13 13 14 13 13 12 12 12 13 13 12 11 11 11 11 11 10 nan
nan 11 10 10 10 11 11 10 9 8 9 10 12 13 13 13 13 13 12 12 11 10 9 9 10 11 12 12 12 12 11 11 11 11 11 11 11 11 12 12 11 11 11 12 12 12 12 12 12 12 12 12 11 10 9 10 11 11 11 10 8 5 3 2 3 5 7 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 10 10 10 11 12 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 10 11 11 11 10 10 10 10 11 11 11 11 11 10 10 11 12 12 13 13 13 13 13 13 13 12 12 12 13 13 13 12 11 10 10 10 10 10 nan
nan 12 11 10 10 9 9 8 8 9 10 11 12 13 13 13 13 12 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 12 12 13 13 13 13 12 11 10 10 11 12 13 12 10 6 4 3 3 4 6 8 9 9 9 9 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 10 10 10 11 11 11 11 11 11 12 12 11 11 11 11 11 11 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 12 12 12 12 13 13 13 12 12 11 10 10 10 10 nan
nan 14 13 12 11 10 9 9 9 10 11 12 13 13 13 12 12 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 10 10 10 10 11 11 12 13 14 14 13 13 11 10 10 11 12 14 14 12 8 6 4 4 5 7 8 9 9 9 9 10 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 12 12 12 12 11 11 11 12 11 11 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 11 11 11 10 10 10 11 11 11 11 12 12 13 13 13 13 13 12 12 12 12 12 12 13 13 12 12 11 10 10 9 nan
nan 15 14 13 13 12 12 12 11 12 13 13 14 14 13 12 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 11 11 10 10 9 9 10 10 12 13 14 14 14 13 12 11 11 11 12 15 16 15 11 8 6 5 6 7 8 8 9 9 9 10 10 10 11 12 12 12 12 12 12 11 10 10 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 10 10 11 11 11 11 12 12 12 12 12 12 11 11 11 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 12 12 13 13 13 13 13 12 11 12 12 12 12 13 12 12 12 11 11 10 nan
nan 15 14 14 13 13 13 13 13 13 14 14 13 13 13 12 12 11 12 12 12 12 11 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 12 12 11 10 10 10 9 10 10 12 12 13 13 13 13 12 11 11 12 15 16 16 14 11 8 6 7 7 8 9 10 10 10 10 10 10 10 11 12 12 12 12 12 11 10 10 10 11 11 11 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 12 12 13 13 13 13 13 12 11 11 11 12 12 12 12 13 13 12 12 11 nan
nan 14 14 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 13 13 12 12 11 10 10 10 10 11 11 11 11 11 11 11 10 11 11 12 12 12 11 11 10 10 9 10 10 11 11 12 12 12 12 12 11 12 13 15 15 13 11 9 8 8 9 10 12 12 11 11 10 10 10 11 11 12 12 12 12 11 11 10 9 10 11 11 11 11 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 12 12 11 11 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 13 13 12 11 11 11 12 12 12 12 13 13 13 13 13 nan
nan 14 13 13 13 13 12 12 12 12 11 11 11 11 12 12 12 13 13 13 13 12 12 11 10 9 8 9 9 10 10 11 11 10 10 10 10 11 12 13 13 13 12 11 10 10 10 10 10 10 10 10 10 10 11 12 12 12 13 12 11 10 9 9 10 11 12 13 13 13 12 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 11 11 11 10 10 10 11 11 11 11 11 11 10 10 10 10 11 11 11 11 12 12 12 11 11 10 11 11 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 12 11 11 12 12 12 12 12 12 13 13 14 13 nan
nan 14 14 13 13 13 13 13 12 12 11 11 11 11 11 12 12 13 12 12 12 11 10 9 8 8 8 9 9 9 10 10 10 10 10 10 10 11 12 12 13 13 13 12 11 11 11 10 10 9 9 9 9 10 10 11 12 12 13 12 12 11 11 12 12 13 14 14 14 13 12 11 11 10 11 11 11 10 10 10 10 10 9 9 9 9 10 11 11 10 10 10 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 12 12 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 10 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 10 10 10 11 11 11 10 10 10 11 11 10 10 11 11 11 12 12 13 13 12 12 12 12 11 12 12 12 12 12 12 12 12 13 13 nan
nan 13 13 14 14 14 14 14 13 12 12 12 11 11 12 12 12 12 11 10 9 9 8 7 8 9 9 10 10 9 9 9 9 10 10 10 10 11 11 12 13 13 13 12 12 12 12 11 11 10 10 10 10 10 11 11 12 13 13 13 13 14 14 15 15 15 15 15 14 13 12 11 11 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 10 11 11 11 11 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 11 11 11 10 10 11 11 10 10 10 11 11 11 12 12 13 13 12 12 11 11 12 12 12 12 12 12 12 11 11 12 12 nan
nan 13 13 13 13 14 14 14 14 13 13 12 12 12 12 12 12 12 11 10 9 8 8 8 9 11 11 11 11 10 10 9 9 10 10 10 10 10 11 12 13 13 13 13 13 13 13 12 12 12 12 11 11 11 11 12 13 13 14 14 14 14 15 15 15 15 14 14 13 12 12 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 12 12 12 11 11 11 10 11 11 11 11 11 10 10 11 11 11 11 11 11 12 12 12 12 11 11 11 10 10 10 11 11 11 11 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 12 11 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 12 13 13 13 12 12 11 11 12 12 12 12 12 12 12 12 11 11 11 nan
nan 12 12 12 12 13 13 14 14 14 13 13 13 13 12 12 13 12 11 11 11 10 11 11 12 12 12 12 11 11 10 10 10 10 10 9 9 10 10 11 12 12 12 12 13 13 13 13 13 13 12 12 11 11 12 12 13 13 14 14 14 14 14 14 14 13 13 13 12 12 12 12 12 12 11 11 10 9 9 8 9 9 10 10 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 10 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 12 11 11 10 10 10 10 11 11 11 11 11 12 12 12 12 11 11 11 11 12 12 13 13 13 12 12 12 12 12 12 11 11 10 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 12 13 13 13 13 12 12 11 11 11 11 11 12 12 13 13 12 11 11 nan
nan 12 12 12 12 12 12 13 13 14 14 13 13 13 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 11 11 11 11 10 10 10 9 9 9 10 11 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 13 12 12 12 11 9 8 8 9 10 10 11 12 12 12 12 12 12 12 13 13 13 12 11 11 11 10 10 11 11 11 11 11 11 10 11 11 11 12 12 12 12 12 11 11 11 11 10 10 10 10 10 11 11 11 11 11 12 12 12 11 12 12 12 12 13 13 13 13 13 13 13 12 12 12 11 10 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 12 12 13 13 13 12 12 12 11 11 10 10 10 11 12 12 12 12 12 nan
nan 12 11 11 11 11 12 12 13 13 14 13 13 12 12 11 12 12 13 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 10 10 10 9 9 10 11 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 12 11 11 11 12 12 12 12 12 12 13 13 13 12 11 9 8 8 9 10 11 11 12 12 12 12 12 12 13 13 14 13 12 11 10 10 10 10 11 11 12 12 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 14 13 13 13 12 11 11 10 10 9 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 11 12 12 13 13 13 12 12 12 11 10 10 9 9 10 10 11 11 12 12 nan
nan 11 11 11 11 11 11 12 13 13 13 13 13 12 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 12 12 11 11 11 11 10 10 10 9 10 10 11 12 13 13 13 13 12 12 12 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 12 11 10 9 9 9 10 11 11 11 11 12 12 12 12 13 14 14 13 12 11 10 9 10 10 11 11 12 12 12 11 10 10 10 10 11 11 12 12 12 12 12 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 12 13 13 12 12 11 11 12 13 13 13 13 13 12 12 11 11 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 11 10 9 9 10 11 11 12 12 12 nan
nan 11 11 10 10 11 11 11 12 13 13 13 13 12 11 11 10 10 9 9 10 11 11 11 11 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 11 12 13 13 13 13 12 12 11 11 11 11 11 11 11 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 10 10 10 10 11 11 11 11 11 12 12 12 13 14 14 13 12 10 9 9 10 11 11 12 13 13 12 12 10 9 9 9 10 11 11 11 11 11 12 12 11 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 11 9 9 9 10 12 13 13 13 13 12 12 11 11 11 11 12 13 13 12 11 11 10 10 10 10 10 9 10 10 10 10 10 11 11 12 12 11 11 12 12 12 12 11 10 10 11 11 12 12 12 13 nan
nan 11 10 10 10 10 11 11 12 13 13 13 13 13 12 12 11 10 9 9 10 10 11 11 11 11 11 11 11 12 12 12 11 11 11 11 10 10 10 10 10 10 10 11 11 12 13 13 13 12 12 12 11 11 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 11 11 11 11 11 11 12 12 12 13 14 13 13 11 9 9 9 10 11 12 13 13 13 13 12 11 10 9 9 9 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 11 10 9 8 7 7 9 11 13 14 15 15 13 12 11 10 10 11 12 14 15 14 12 11 10 10 10 9 9 8 8 9 9 10 10 10 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 12 12 nan
nan 11 11 10 10 10 11 11 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 10 10 10 10 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 12 12 13 14 14 13 12 10 9 8 9 10 12 13 14 14 14 13 12 11 11 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 8 9 9 8 8 8 8 8 7 6 6 7 9 11 14 16 16 14 12 10 8 9 10 12 14 15 15 14 12 11 10 10 10 9 8 8 8 9 10 10 10 11 11 11 10 10 10 11 11 12 13 13 13 12 12 11 10 10 10 11 12 nan
nan 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 14 14 14 14 14 13 13 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 12 12 13 14 14 13 12 10 9 9 9 11 12 14 15 15 14 13 12 12 11 11 10 10 9 9 9 9 9 10 10 10 9 9 9 8 8 8 8 9 9 8 7 7 7 7 6 6 6 7 9 12 15 17 15 12 9 7 8 11 13 14 14 14 14 13 12 12 11 11 10 9 8 9 11 12 12 12 12 11 11 11 10 10 10 11 11 12 13 13 14 13 12 11 10 10 10 10 11 nan
nan 11 11 11 11 11 11 11 12 12 11 11 11 11 11 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 12 12 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 11 11 11 12 12 13 14 14 14 13 11 10 9 9 10 12 13 14 15 14 13 12 12 12 11 11 10 9 9 9 10 10 10 10 9 9 10 9 9 9 9 9 9 10 9 9 8 8 9 9 8 6 6 7 9 12 15 16 14 11 9 10 13 15 16 15 14 13 13 13 13 12 12 11 9 9 11 13 14 14 14 13 13 13 12 12 12 11 11 11 11 12 13 14 14 14 13 11 10 9 9 10 11 nan
nan 11 11 11 11 11 11 12 12 12 11 11 11 10 10 11 11 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 13 13 13 13 13 13 13 12 12 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 11 11 12 12 13 13 13 14 14 13 12 11 10 10 10 11 12 13 13 13 13 13 13 12 12 12 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 9 10 10 10 8 5 5 7 10 13 16 16 14 13 13 15 16 17 15 13 12 12 13 13 12 12 11 10 10 12 14 15 15 14 13 13 13 14 14 14 13 12 11 10 11 11 13 13 14 14 12 11 10 9 9 10 11 nan
nan 11 10 11 11 11 11 12 12 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 12 13 13 13 13 13 12 12 11 11 11 11 11 12 12 12 13 13 13 13 13 12 12 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 11 11 12 13 13 13 13 13 13 13 12 12 11 11 10 11 12 12 13 13 13 13 13 13 13 13 12 11 10 10 9 9 10 10 10 10 10 11 10 11 11 10 9 9 9 9 10 9 10 10 10 7 5 4 4 7 11 15 17 16 15 14 15 17 17 16 14 13 13 13 13 13 12 11 10 10 11 13 14 14 13 13 12 13 14 14 15 15 14 13 11 10 10 11 12 13 13 13 12 11 10 10 11 11 12 nan
nan 11 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 12 12 13 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 12 13 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 13 13 12 12 12 12 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 12 11 10 9 8 9 9 9 10 10 11 11 11 12 11 10 9 7 7 7 9 10 11 11 9 6 4 4 6 10 14 16 16 15 13 13 15 16 17 17 17 17 17 16 14 13 11 11 10 11 12 12 12 11 11 11 12 12 13 14 15 15 14 13 11 10 10 10 11 12 13 13 12 12 11 10 10 11 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 3 5 6 7 8 12 25 40 52 60 65 68 62 57 54 54 60
0 1 1 1 1 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 4 10 15 15 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 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 1 3 4 5 5 7 18 37 53 64 71 76 88 90 85 77 69 66
2 2 2 2 3 3 3 2 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 1 5 11 14 12 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 9 1 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 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 8 16 44 62 73 88 113 146 158 144 121 104 92 82
3 3 4 4 5 4 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 2 1 1 1 1 1 0 3 6 8 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 4 8 13 18 33 59 94 129 162 195 204 187 149 135 123 109
5 5 6 6 6 6 6 5 5 4 2 2 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 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 6 7 6 5 4 9 23 38 40 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 1 2 3 3 2 3 4 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 8 8 10 16 23 25 33 59 107 141 165 190 215 235 198 181 164 145
6 7 8 9 9 9 9 9 8 8 8 8 9 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 1 2 4 6 7 6 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 1 4 13 20 18 13 9 13 32 52 28 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 1 1 2 3 4 7 9 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 7 13 16 18 20 23 28 29 28 34 53 78 112 149 189 229 266 245 218 194 174
7 8 9 10 11 12 12 12 12 12 14 15 13 8 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 1 1 5 8 10 12 14 16 13 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 13 21 22 19 9 4 10 24 10 5 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 3 4 5 6 6 4 1 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 5 11 19 27 33 33 31 29 28 30 38 56 96 144 183 200 217 217 206 190 189
8 9 9 11 12 13 13 13 13 13 12 10 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 9 13 13 11 9 9 6 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 1 4 9 11 15 18 17 12 6 1 2 2 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 4 1 1 2 2 2 2 2 2 1 2 1 1 1 3 3 2 1 0 0 1 2 2 1 0 1 5 3 3 8 19 31 39 40 37 35 40 52 60 80 114 151 166 155 150 165 178 173 213
7 7 8 9 9 8 8 7 7 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 9 8 5 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 1 2 4 5 7 10 13 13 10 4 1 1 1 3 5 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 28 13 4 0 0 1 1 0 0 0 2 4 3 2 3 4 2 2 1 0 0 2 2 1 0 0 0 1 1 4 12 26 37 47 52 55 57 63 75 92 110 126 143 154 165 174 180 189 203 253
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