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 4 5 6 8 13 18 18 13 9 7 7 7 7 7 7 6 5 4 4 5 6 6 6 6 6 5 5 4 4 4 4 4 4 4 3 3 3 3 3 4 3 3 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 5 5 6 6 7 8 8 8 8 9 9 9 8 8 7 7 8 9 9 8 7 6 6 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 6 6 5 5 5 5 5 5 4 4 4 5 5 6 7 7 7 6 5 5 6 7 9 10 10 8 7 6 7 9 9 9 8 7 7 8 9 9 10 9 8 4 1 -2 -3 -0 2 4 6 8 8 7 nan
nan 6 6 7 8 12 18 19 14 9 7 7 7 7 8 7 7 6 5 4 5 6 7 7 6 6 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 4 4 4 4 3 2 2 2 3 3 3 3 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 6 6 7 8 8 9 9 9 9 9 8 7 6 6 7 8 8 8 7 6 6 5 5 4 4 3 3 3 3 2 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 8 9 10 10 9 8 8 7 6 5 5 5 5 6 7 8 9 9 8 5 1 -2 -1 1 3 5 8 9 8 7 nan
nan 7 7 8 9 11 17 19 15 10 7 7 7 8 8 8 7 6 5 5 6 7 7 7 6 6 5 5 4 4 4 4 4 4 4 3 3 3 3 4 3 3 3 3 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 4 4 4 4 4 5 5 6 6 6 6 6 6 5 5 4 5 5 4 4 5 5 6 7 7 8 8 9 9 10 9 8 7 6 5 5 6 7 8 8 7 6 6 5 5 4 4 3 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 4 4 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 6 6 7 8 9 11 11 11 9 6 4 3 3 3 4 5 6 7 8 8 8 6 4 1 1 2 5 8 10 10 9 8 nan
nan 9 8 8 9 11 16 20 16 10 7 7 7 8 8 8 7 6 5 6 7 7 7 7 6 6 5 5 5 5 4 4 4 4 4 3 3 4 4 4 3 3 3 3 3 4 4 4 5 5 5 5 4 3 4 4 5 5 5 6 6 6 6 6 6 6 5 5 5 4 4 5 5 5 5 5 5 5 6 6 6 7 7 6 6 6 6 5 5 5 4 5 5 6 6 7 8 8 8 9 9 9 8 7 6 5 5 5 6 7 7 7 6 5 5 5 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 4 3 2 2 2 2 2 3 3 3 4 4 5 5 5 5 6 6 6 6 6 7 7 8 10 12 12 10 7 4 3 2 2 3 4 5 6 8 9 9 9 7 4 3 4 7 10 12 11 9 8 nan
nan 9 9 9 9 10 15 20 17 11 7 7 7 8 8 8 8 7 6 7 8 8 8 7 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 5 5 4 3 3 4 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 5 5 5 5 6 6 7 7 8 8 8 8 8 7 6 6 5 4 4 5 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 3 2 1 1 1 1 2 2 2 3 3 4 4 4 5 5 6 7 8 7 6 6 7 7 8 10 12 11 8 4 2 2 3 3 4 5 6 7 9 11 11 9 7 5 6 9 12 12 11 9 8 nan
nan 10 9 9 9 8 13 19 18 12 8 7 7 7 7 7 8 8 7 8 8 9 8 7 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 5 4 3 3 4 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 7 6 5 5 5 5 6 6 7 7 7 7 8 8 8 7 6 6 5 4 4 4 5 5 5 5 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 4 3 2 1 1 0 1 1 2 2 3 3 4 4 4 4 5 6 8 9 8 6 6 6 5 5 7 10 12 9 6 3 3 3 4 4 5 6 7 9 11 11 10 8 7 8 11 12 12 10 9 8 nan
nan 10 9 9 8 9 13 19 18 13 9 7 7 7 7 7 7 8 8 9 9 9 8 7 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 6 6 6 7 6 6 6 6 6 6 6 7 7 8 8 8 8 7 7 6 5 5 5 5 6 6 7 7 7 7 7 7 7 6 6 5 4 4 4 4 4 4 4 4 4 5 5 6 6 5 5 5 5 5 5 5 5 5 4 4 4 5 5 4 4 3 2 1 1 1 1 1 2 3 4 4 4 4 4 4 4 6 9 10 9 6 5 5 5 4 5 8 11 11 7 4 3 4 4 4 5 6 7 9 10 11 11 10 9 10 11 11 10 8 8 7 nan
nan 9 8 8 8 10 13 17 19 16 11 8 8 8 8 7 7 8 9 9 9 8 8 7 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 4 4 4 4 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 6 6 7 7 6 6 6 6 6 6 7 7 7 8 8 8 8 7 7 6 6 6 5 5 6 6 6 6 6 6 7 7 7 7 6 5 4 4 4 3 3 3 3 4 5 6 6 7 7 6 6 6 5 5 5 5 4 4 5 5 5 4 4 4 3 3 2 2 2 1 1 2 2 4 5 5 5 4 4 3 4 5 7 10 9 7 5 6 6 4 4 7 10 12 9 6 4 4 4 4 4 5 6 7 9 10 10 10 9 9 9 9 7 7 6 6 nan
nan 8 8 8 9 10 11 14 16 16 14 12 11 9 8 8 8 8 9 9 8 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 3 3 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 8 7 7 6 5 4 4 3 2 2 3 4 5 6 7 8 8 7 7 6 6 6 5 4 4 4 5 5 5 4 4 4 3 3 2 2 2 2 1 2 3 4 6 6 5 4 3 3 3 4 6 8 8 7 6 6 6 5 4 6 10 13 11 6 3 3 3 3 3 3 4 5 7 8 9 9 8 8 7 6 5 5 5 5 nan
nan 8 8 8 9 9 9 10 12 13 15 17 15 11 8 8 8 8 9 9 8 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 8 8 7 6 6 5 4 3 3 3 3 3 4 6 8 8 8 8 7 6 6 6 5 4 4 4 4 5 5 5 5 4 3 3 2 2 2 2 2 2 3 5 6 6 5 4 3 2 2 4 6 7 6 6 6 6 6 6 5 6 10 13 10 6 3 2 2 1 2 2 2 3 4 5 7 7 7 6 5 5 4 4 4 4 nan
nan 8 8 8 8 8 8 8 9 10 14 19 18 13 9 8 8 8 9 9 8 7 6 5 5 5 5 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 7 7 7 6 6 6 6 6 6 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 7 7 8 8 7 7 6 6 5 4 4 3 3 3 4 5 7 8 8 8 7 6 6 6 5 4 4 4 4 5 5 5 5 4 3 3 2 2 2 2 1 2 4 5 6 6 6 5 4 3 4 5 6 6 5 6 6 6 6 7 6 6 9 11 10 6 3 2 1 1 1 1 1 1 2 3 5 6 6 5 5 4 4 4 4 4 nan
nan 8 8 8 8 7 7 7 7 9 13 19 19 14 9 8 8 8 8 9 8 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 7 7 7 7 7 6 6 6 5 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 6 6 7 8 8 7 7 6 6 6 5 4 4 4 4 4 4 5 6 8 8 7 6 6 6 5 4 3 3 4 4 5 5 5 5 4 3 3 2 2 1 2 3 4 6 6 7 7 6 5 5 6 7 6 5 5 6 6 6 6 7 6 6 7 10 9 6 3 2 1 0 0 0 0 0 1 2 4 5 5 5 5 4 4 4 4 4 nan
nan 7 8 7 7 7 7 7 7 8 12 18 19 15 10 8 8 8 8 8 7 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 7 8 8 8 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 6 6 6 7 7 7 7 6 6 6 5 5 5 5 5 4 3 4 5 6 7 7 6 5 5 4 4 3 3 3 4 5 5 5 5 4 4 3 2 1 1 2 3 5 6 7 8 7 7 6 6 7 6 6 5 5 5 6 6 6 6 6 6 7 9 9 6 4 3 2 1 0 0 0 0 1 2 4 5 5 5 5 5 4 4 4 4 nan
nan 8 7 7 7 7 7 7 8 8 12 17 18 15 11 9 8 8 8 8 7 6 5 5 5 5 4 4 4 4 5 5 5 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 6 7 8 8 8 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 5 6 6 6 6 7 7 7 6 5 5 6 6 6 6 6 5 4 4 4 5 6 6 5 5 4 3 3 2 2 3 3 4 4 5 5 4 4 3 2 1 1 2 4 6 7 8 8 8 7 7 7 6 6 5 5 5 5 6 6 6 6 6 6 6 8 8 6 4 3 3 2 1 1 1 1 1 2 3 4 5 5 5 5 5 5 5 4 nan
nan 9 7 7 6 7 7 8 8 9 12 15 16 14 11 9 8 8 8 8 7 6 6 6 5 5 4 4 4 4 5 5 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 5 5 6 7 8 8 8 7 6 5 5 5 4 4 5 5 5 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 7 7 7 6 5 5 5 6 6 6 6 6 5 4 4 5 6 6 5 4 4 3 2 2 2 2 3 3 4 4 4 4 4 3 3 2 2 3 5 7 8 8 8 8 8 7 6 6 5 5 5 5 5 6 6 5 6 6 5 6 7 8 7 5 4 4 4 3 2 2 2 1 1 2 3 4 4 4 4 5 5 5 5 nan
nan 9 8 6 6 7 8 8 9 10 12 14 14 13 11 10 9 9 8 8 7 6 5 6 6 5 5 5 5 5 5 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 4 4 5 6 7 8 7 6 5 4 4 4 4 4 5 5 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 6 6 6 6 7 7 7 6 5 5 5 6 6 6 6 6 6 5 5 5 6 6 5 4 3 3 2 2 2 2 3 3 4 4 4 4 4 4 3 2 2 4 6 7 8 9 9 9 8 8 7 6 6 6 6 6 6 6 5 5 5 5 5 6 7 8 8 6 5 5 5 5 4 4 3 2 1 1 2 3 3 4 4 4 5 6 6 nan
nan 8 7 6 6 7 8 8 9 11 13 14 13 12 11 10 9 9 8 8 7 6 6 6 6 6 5 5 5 5 5 5 4 4 3 3 4 4 4 4 5 5 5 5 5 4 4 4 4 5 4 4 4 4 4 4 4 3 4 5 6 6 6 5 4 4 4 4 4 5 5 6 6 6 6 6 6 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 3 2 2 2 3 3 3 4 4 4 5 4 4 3 3 3 4 6 8 9 9 9 9 8 8 7 7 7 7 7 6 6 5 5 5 5 5 5 6 7 9 9 7 6 6 6 6 6 5 5 4 2 1 1 2 3 3 3 4 5 5 5 nan
nan 5 6 6 7 8 8 9 11 13 14 13 12 12 11 10 9 9 9 8 7 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 4 4 4 4 4 3 3 2 2 3 4 5 5 5 4 4 4 4 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 4 3 3 3 3 3 4 4 4 4 5 5 5 4 3 3 4 5 6 7 8 9 9 9 8 8 8 8 8 7 7 7 6 5 4 4 5 5 5 6 7 9 9 7 6 6 7 7 7 7 6 5 4 4 4 3 3 3 3 3 4 4 5 nan
nan 4 5 6 7 8 8 9 12 15 14 12 12 12 11 10 10 9 9 9 7 6 6 6 6 6 5 5 5 5 4 4 5 5 5 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 2 1 1 2 3 5 5 5 4 4 4 5 5 6 6 7 7 7 6 6 5 5 5 5 5 6 6 6 6 6 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 6 6 7 6 6 6 6 6 6 7 7 7 7 7 7 6 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 6 7 7 7 8 8 8 8 8 9 9 9 8 7 7 6 4 4 4 5 5 5 6 7 9 10 8 6 6 7 7 7 7 6 4 4 6 8 7 6 5 4 3 3 4 4 nan
nan 4 5 6 7 7 8 9 12 15 15 12 11 11 11 10 10 9 9 9 7 6 6 6 6 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 4 4 4 4 3 3 2 1 1 2 3 4 5 5 5 5 5 5 5 6 7 7 7 7 6 5 5 5 5 5 5 6 6 6 6 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 6 7 7 7 6 6 5 5 6 6 7 7 8 7 6 5 5 4 4 4 5 5 5 5 5 5 5 4 4 5 6 6 7 7 7 7 7 7 8 9 10 10 9 8 7 5 4 2 2 3 4 5 6 7 8 10 11 9 7 7 7 7 7 7 6 3 1 4 8 8 7 6 5 3 3 3 3 nan
nan 4 6 7 7 7 8 10 13 16 15 12 11 11 11 10 9 9 9 8 7 6 6 6 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 4 3 3 4 4 5 5 5 5 4 4 4 4 3 2 2 2 2 4 5 6 6 6 6 5 6 6 6 7 7 7 7 6 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 6 6 5 5 5 5 5 5 5 5 6 6 6 5 5 4 4 4 5 6 6 7 7 6 6 5 5 5 6 6 7 7 7 7 6 5 5 4 4 4 4 5 5 5 5 5 5 4 5 6 6 6 6 6 6 6 6 8 9 10 9 8 7 7 5 4 2 1 2 4 6 7 6 7 10 11 10 8 7 7 7 7 7 7 4 0 1 4 5 5 5 4 3 3 2 3 nan
nan 4 6 7 7 7 8 11 15 16 14 12 10 10 10 10 9 9 9 8 6 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 3 2 2 3 4 5 7 7 8 7 7 6 6 7 7 7 7 6 5 5 4 4 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 6 7 7 6 6 5 5 5 5 6 6 7 7 6 6 5 5 4 4 4 4 4 5 5 5 5 5 4 5 6 6 6 5 5 6 6 6 7 8 9 8 7 7 7 8 7 5 3 3 4 6 6 5 6 8 10 9 8 7 7 7 7 7 7 5 3 2 2 2 3 3 3 3 3 3 3 nan
nan 3 5 6 7 7 9 12 16 17 14 11 10 10 10 10 10 9 9 8 6 5 5 5 5 5 5 4 4 5 5 5 5 6 6 6 6 5 5 5 5 4 4 4 4 5 5 6 5 5 5 5 5 5 4 3 3 2 2 3 4 6 8 9 9 8 8 7 7 7 7 6 6 5 4 3 3 4 4 4 5 5 5 6 6 6 6 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 6 6 6 6 5 5 5 5 5 6 6 6 6 6 5 5 4 4 3 3 4 4 4 5 5 5 5 6 6 6 5 5 4 5 5 6 7 7 7 7 7 7 8 9 10 10 7 5 4 5 5 4 5 8 9 9 8 7 6 6 6 6 7 6 5 4 3 3 3 3 3 3 4 4 4 nan
nan 3 4 6 6 7 8 11 14 17 15 11 9 9 10 10 10 9 9 8 6 5 5 5 4 4 4 4 5 5 5 6 6 6 6 6 6 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 3 2 2 1 2 3 5 7 8 10 10 9 9 8 7 7 6 5 4 3 3 2 3 3 3 4 4 4 5 5 6 6 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 4 4 3 3 3 3 3 4 5 6 6 6 6 5 5 4 4 4 5 6 6 7 7 7 6 6 7 7 9 11 11 7 5 5 4 4 6 8 10 9 7 7 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 5 nan
nan 3 5 6 6 7 8 9 12 16 16 12 9 8 9 9 9 9 9 8 7 5 5 4 4 4 4 4 5 5 6 6 7 7 7 6 6 6 5 5 4 4 4 5 5 5 5 5 5 5 4 4 3 3 2 2 1 1 1 3 5 7 9 10 11 10 9 8 8 7 6 4 3 3 2 2 2 2 3 3 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 4 6 7 7 6 5 4 4 4 5 5 5 6 6 6 7 7 7 6 6 6 7 10 10 8 7 6 5 5 7 9 10 9 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 nan
nan 3 5 6 6 6 7 8 10 15 17 14 9 8 9 9 9 9 8 8 7 6 5 5 4 4 4 5 5 5 6 6 7 7 7 7 6 6 5 5 4 4 5 5 5 5 5 5 5 4 4 3 3 2 1 1 1 2 2 4 6 8 10 11 12 11 10 9 8 7 5 4 3 2 2 2 2 2 2 3 3 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 4 6 7 7 6 5 5 4 5 5 5 6 6 7 7 7 7 7 7 6 6 6 7 8 8 7 6 6 6 8 9 9 8 7 6 6 6 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 nan
nan 3 5 6 6 6 6 7 9 13 18 15 11 9 9 9 9 9 8 8 7 6 5 5 4 4 5 5 5 6 6 6 6 6 6 6 6 5 5 4 4 4 5 5 5 5 5 5 5 4 4 3 2 1 1 1 2 4 5 6 7 9 10 12 12 12 11 9 8 6 5 3 3 2 2 2 2 2 2 3 3 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 6 7 7 7 6 6 5 5 5 5 6 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 8 9 9 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 nan
nan 3 5 5 5 6 6 6 7 12 16 16 12 9 8 9 9 9 8 8 7 6 6 5 5 5 5 5 5 5 6 6 6 6 5 5 5 4 4 4 3 4 4 4 5 5 5 5 5 4 4 3 2 1 1 2 4 6 7 8 9 10 11 12 12 12 11 9 7 6 5 4 3 3 2 2 2 2 3 3 3 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 8 8 7 7 7 6 5 5 5 6 7 7 8 8 8 8 7 7 7 7 8 8 7 7 8 8 7 8 9 9 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 4 5 5 5 5 6 6 7 11 15 16 12 9 8 8 9 8 8 7 7 6 5 5 4 4 5 5 5 5 5 6 6 5 5 4 4 4 3 3 3 3 4 4 5 5 5 5 5 4 4 3 2 2 2 3 5 7 8 9 10 10 11 11 12 11 10 9 7 6 5 5 4 4 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 6 6 6 5 5 6 8 9 9 7 6 6 6 5 4 5 5 6 7 7 8 8 8 8 7 7 7 7 8 7 7 6 6 6 7 8 9 8 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 4 5 5 5 5 6 7 8 10 13 15 13 10 9 8 8 8 8 7 6 5 5 4 4 4 4 4 5 5 5 5 6 6 5 4 3 3 3 3 3 3 4 4 5 5 5 5 5 4 4 4 3 3 3 4 6 8 9 9 9 10 10 11 11 11 10 9 8 7 6 6 5 5 4 4 4 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 6 6 6 5 6 7 10 11 9 7 5 5 5 3 3 4 5 6 7 7 8 8 8 8 7 7 7 7 7 7 6 5 4 5 6 8 8 8 6 5 5 5 5 6 5 5 5 5 5 5 5 4 4 4 5 5 5 5 nan
nan 4 5 5 5 5 6 6 8 9 11 13 13 11 9 9 9 8 8 7 6 5 4 4 4 4 4 4 4 5 5 5 6 6 5 4 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 8 8 8 8 8 9 9 10 11 11 11 10 9 8 7 6 5 5 4 5 5 5 4 4 3 3 3 3 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 11 11 9 6 4 4 4 3 3 4 5 6 6 7 7 8 8 8 7 7 8 7 7 7 6 5 5 5 6 7 8 7 6 6 5 6 6 6 6 6 6 6 5 5 5 5 4 5 5 5 5 5 nan
nan 4 4 4 5 5 6 6 7 8 8 11 13 12 10 9 9 9 9 8 6 5 4 4 4 4 4 5 5 5 5 5 6 6 5 4 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 6 7 8 9 11 12 12 11 10 9 8 7 6 5 6 6 6 5 4 3 3 3 3 3 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 10 11 9 5 3 4 6 6 5 5 5 5 6 6 7 8 7 7 7 8 8 8 8 7 5 5 6 6 6 7 7 7 6 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 nan
nan 5 4 4 5 6 6 6 7 7 7 9 11 12 11 11 10 10 9 9 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 10 12 12 12 11 10 9 8 7 7 7 7 7 6 5 3 3 2 3 3 3 3 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 6 6 6 7 7 6 6 6 6 6 6 5 6 7 9 10 8 4 3 4 7 8 7 6 5 5 5 6 7 7 7 7 7 7 7 7 7 5 4 4 6 6 6 7 7 7 6 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 nan
nan 6 5 5 6 7 7 7 7 6 6 8 9 11 12 13 12 11 10 9 8 7 7 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 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 10 12 14 14 13 12 11 10 9 9 9 8 7 6 5 4 3 2 2 2 3 3 3 4 4 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 9 10 8 5 4 5 7 8 7 6 5 5 5 6 6 7 8 8 8 7 7 7 7 5 4 5 6 6 6 6 7 7 6 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 nan
nan 7 7 7 8 7 7 7 6 5 5 6 8 10 12 13 13 12 11 11 10 8 8 8 7 7 8 8 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 7 9 12 14 14 14 13 13 12 11 10 9 9 7 6 5 4 3 2 2 2 2 3 3 4 4 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 9 11 10 8 6 5 5 6 7 6 5 4 5 5 5 6 7 8 8 8 8 8 9 9 8 7 7 6 6 6 6 7 7 6 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 nan
nan 7 8 9 9 8 7 6 6 5 4 5 7 8 11 12 12 12 13 13 11 9 9 9 9 9 9 9 9 8 8 7 7 7 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 7 10 12 13 13 13 13 12 11 10 9 8 7 6 6 4 3 2 2 2 2 2 3 4 4 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 8 10 12 11 9 7 5 4 5 6 6 5 4 5 5 5 5 6 8 8 8 8 9 9 9 10 9 8 7 7 6 6 6 7 6 5 5 6 6 6 7 7 6 6 6 6 6 5 5 5 5 5 5 5 nan
nan 8 9 9 9 8 7 6 5 5 5 5 6 8 10 11 11 12 14 13 12 11 11 10 10 10 10 10 10 9 9 8 8 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 5 5 6 6 6 7 7 6 6 5 4 4 5 7 9 10 12 13 12 11 10 9 8 8 7 7 6 5 4 3 2 2 2 2 3 3 4 5 5 6 6 7 7 7 7 6 6 6 6 5 5 5 5 4 4 4 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 8 9 11 12 11 9 7 5 3 4 5 6 5 5 5 5 5 5 6 7 8 8 8 8 7 6 7 7 7 6 6 6 6 6 6 5 5 5 6 6 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 nan
nan 8 9 9 9 7 6 5 4 4 5 6 6 7 8 9 10 12 13 13 12 12 13 13 12 12 12 11 11 10 9 9 9 8 8 9 8 8 7 7 7 6 7 7 7 8 8 8 7 7 7 7 6 6 6 6 6 7 7 7 7 6 5 4 3 3 4 6 7 10 11 12 11 10 9 8 7 7 7 7 6 5 4 3 3 2 2 2 3 4 5 5 6 7 7 7 7 7 7 7 7 6 6 5 5 5 4 4 4 4 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 9 11 12 11 9 7 5 4 4 5 6 6 5 6 5 5 5 6 6 7 7 8 8 6 5 4 4 5 6 6 6 6 6 6 5 5 5 6 6 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 nan
nan 9 9 9 8 7 6 5 4 4 5 5 6 7 7 8 9 10 11 11 11 12 14 14 14 13 13 13 12 11 10 10 9 9 9 9 9 9 8 8 7 7 7 7 8 8 9 9 8 8 8 8 7 7 7 8 8 8 8 8 7 6 5 4 4 4 4 5 6 8 11 12 13 12 10 9 8 8 8 8 8 8 7 6 5 3 3 3 3 4 5 6 7 7 8 8 8 8 8 8 7 7 6 6 5 5 5 4 4 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 7 6 6 7 8 11 12 11 9 7 5 4 5 7 7 6 6 6 6 6 5 5 6 7 7 7 7 7 6 5 5 5 5 6 6 6 6 6 5 5 5 6 6 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 nan
nan 9 9 8 8 8 7 5 4 3 4 5 5 6 7 7 8 9 10 10 10 11 12 13 13 14 14 14 13 13 12 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 9 9 8 8 8 8 8 9 10 11 10 8 7 7 7 6 6 5 5 5 6 7 10 12 14 15 14 13 11 10 10 10 11 12 12 11 9 7 5 4 4 4 5 6 7 8 9 9 9 9 8 8 7 7 6 6 6 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 11 12 11 10 7 4 3 5 7 7 7 7 7 6 6 6 6 6 7 7 6 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 7 7 7 7 6 6 6 6 5 5 5 5 5 5 nan
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nan 11 11 11 11 11 11 11 10 9 8 8 8 8 7 7 6 6 8 9 11 14 15 15 13 11 11 11 9 9 9 10 10 9 8 7 7 7 7 7 7 8 8 8 7 7 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 9 8 6 6 8 9 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 10 11 11 10 9 8 8 8 8 8 7 7 7 7 8 9 9 9 9 8 8 7 7 7 8 9 10 10 9 8 7 6 6 6 6 6 6 7 8 8 8 7 6 6 6 6 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 10 10 9 9 9 8 6 5 5 5 5 6 8 14 19 23 25 24 23 21 20 20 19 17 15 14 13 nan
nan 11 11 12 12 12 12 12 12 12 11 10 10 10 9 8 6 4 5 7 10 12 13 13 13 12 12 10 8 7 8 9 10 9 8 8 7 7 7 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 8 8 8 7 7 8 8 8 6 6 8 9 10 9 9 9 9 9 8 7 7 7 7 8 8 8 8 9 9 10 10 10 9 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 9 9 8 8 7 7 7 7 6 6 6 7 7 8 9 8 7 6 6 6 6 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 10 10 10 10 10 9 8 7 6 6 6 6 6 8 12 17 22 24 24 25 25 25 25 22 18 16 14 nan
nan 11 12 12 12 13 13 14 14 14 13 12 12 11 11 10 7 4 4 6 8 9 10 11 12 11 10 8 7 7 7 7 8 8 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 7 6 6 8 10 10 9 8 9 9 8 8 7 6 6 7 8 8 8 9 9 9 10 10 9 7 7 8 8 8 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 9 10 10 9 8 8 9 9 9 10 10 10 10 10 10 9 9 8 7 8 8 7 6 7 11 15 18 19 21 23 25 27 26 22 18 16 nan
nan 11 12 12 12 13 13 14 14 14 14 14 14 13 13 11 8 6 5 6 7 8 9 9 9 8 7 7 7 7 7 6 7 8 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 6 6 8 10 9 9 9 9 9 9 8 7 6 6 7 7 8 8 8 8 9 10 11 10 8 7 8 8 8 7 6 5 6 6 7 7 7 7 7 7 7 8 8 8 7 7 6 6 7 9 10 10 9 9 9 9 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 9 10 9 8 8 8 9 9 9 10 10 10 10 9 9 9 8 9 10 9 8 7 7 7 9 10 11 12 15 19 24 27 25 22 19 nan
nan 12 12 12 12 12 12 13 13 13 14 14 15 14 13 11 9 7 6 7 8 8 9 8 7 6 7 8 8 8 7 7 7 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 9 8 8 8 8 8 8 8 8 9 8 8 8 8 7 6 6 8 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 9 9 11 11 10 8 8 7 7 6 5 5 5 6 6 6 6 7 7 8 7 8 8 9 9 8 8 7 7 8 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 9 9 8 8 8 8 9 9 8 8 8 8 9 10 10 10 9 9 9 9 9 9 9 10 11 10 9 9 8 7 6 7 7 8 9 13 18 24 26 26 23 nan
nan 12 12 11 11 11 11 11 11 11 12 13 14 14 13 11 10 9 8 9 10 10 9 8 7 6 7 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 9 9 8 7 7 8 8 7 6 7 8 8 9 9 9 8 8 8 7 7 7 7 7 8 8 9 9 10 11 11 10 8 7 7 6 6 5 5 6 6 6 6 6 6 7 8 8 8 9 9 9 9 9 9 9 8 8 8 9 10 10 11 11 10 10 9 8 8 7 7 8 8 9 9 9 9 10 10 10 10 9 8 8 7 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 8 9 10 11 11 10 10 9 9 9 9 9 10 11 10 10 9 9 8 7 7 7 7 8 10 13 18 23 26 26 nan
nan 11 11 10 10 10 10 10 10 10 11 12 12 12 11 11 11 11 11 12 12 12 10 9 8 7 7 8 9 9 8 8 8 8 8 9 9 9 8 8 8 7 7 8 8 8 8 8 8 8 7 8 8 9 8 8 9 8 7 7 7 9 9 8 7 8 8 9 9 10 9 8 8 8 8 7 7 7 7 8 8 9 10 10 10 10 9 9 8 7 7 7 6 6 6 6 6 5 5 5 7 8 9 9 9 8 9 9 10 10 9 8 8 7 8 9 10 10 10 11 10 10 8 7 7 7 7 8 9 9 9 10 10 11 11 12 11 10 10 9 8 7 7 6 7 8 9 10 10 9 9 9 9 9 8 8 8 9 9 10 10 11 11 10 10 9 9 10 11 11 10 10 10 9 8 7 7 7 8 8 8 10 12 17 22 26 nan
nan 10 10 9 9 8 9 9 10 10 10 10 11 11 10 10 11 12 13 13 13 12 11 10 9 9 8 9 9 9 9 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 8 8 9 10 10 9 8 8 9 10 10 10 10 10 9 9 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 6 6 6 8 9 9 9 8 8 8 9 9 10 9 9 8 8 8 9 9 9 9 10 11 10 8 7 7 7 7 7 8 9 9 10 10 10 11 12 12 12 11 11 10 8 7 6 7 7 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 11 11 10 10 10 11 11 11 11 10 10 10 9 8 7 7 7 8 8 8 9 11 16 21 nan
nan 8 9 8 8 7 8 9 10 10 10 10 10 10 10 10 11 13 14 13 12 12 11 10 9 9 9 9 9 9 9 8 8 8 9 9 8 8 8 8 8 9 9 8 8 8 8 8 8 8 9 9 10 11 12 12 13 12 11 11 11 11 11 10 9 10 11 12 11 10 11 11 11 10 9 9 8 7 7 7 7 8 8 8 8 8 9 10 9 9 8 8 8 8 8 9 9 9 9 9 10 10 9 9 8 8 8 9 9 9 10 10 10 9 9 8 8 8 8 9 10 9 8 8 7 7 6 7 8 8 9 9 9 10 10 11 12 12 12 12 11 10 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 10 11 12 12 11 11 11 10 10 10 9 8 7 7 7 7 7 7 7 8 10 13 nan
nan 7 8 8 7 7 8 9 10 11 11 10 9 10 10 11 12 13 13 13 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 8 9 9 8 8 8 9 9 10 11 13 14 15 15 15 14 14 14 13 13 13 14 14 14 14 13 13 13 13 12 11 11 10 9 8 8 8 8 9 9 9 9 10 11 10 9 8 8 8 9 9 9 10 11 11 11 11 10 9 8 8 9 9 9 9 9 10 11 10 9 8 8 8 8 8 9 8 7 7 6 6 6 6 6 7 7 8 8 9 9 10 11 11 11 12 12 11 11 11 10 8 7 7 8 9 9 9 9 9 9 9 10 10 9 9 8 8 8 8 9 10 11 12 12 12 11 11 10 10 9 8 8 8 8 7 7 6 6 6 7 7 8 nan
nan 7 8 8 7 7 8 9 10 11 11 10 9 9 10 11 12 13 13 13 13 11 10 10 10 10 9 8 8 8 8 9 9 10 10 9 9 8 8 8 9 9 9 9 9 9 8 7 7 7 8 9 10 11 12 13 14 15 16 16 15 15 15 15 16 16 16 16 16 16 16 16 16 15 14 14 13 11 11 10 10 9 9 9 9 10 11 12 11 9 8 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 9 8 8 8 9 9 9 9 8 8 8 8 9 9 8 7 6 5 5 6 7 7 7 7 7 7 8 9 10 11 11 11 12 12 11 11 12 11 10 8 7 8 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 9 9 10 10 11 11 11 11 11 10 8 8 8 9 9 8 7 7 6 6 6 7 7 nan
nan 8 9 9 8 8 8 8 9 10 11 10 8 8 9 11 12 12 13 14 12 11 10 10 10 11 10 9 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 8 7 7 7 8 9 10 10 10 10 10 11 13 13 13 13 13 14 14 14 14 14 15 16 16 17 17 17 17 16 16 15 14 13 12 10 10 9 10 10 11 12 11 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 8 7 6 7 7 8 8 9 9 9 10 10 10 10 9 8 6 6 6 7 8 8 8 8 7 7 7 8 9 9 10 10 11 10 10 11 12 12 11 9 8 8 8 8 9 9 9 9 8 9 9 10 10 9 8 8 8 9 9 9 9 9 9 10 11 11 11 9 8 9 9 9 9 8 8 7 6 6 6 6 nan
nan 9 9 9 9 9 8 8 8 9 10 9 7 8 9 11 11 12 12 13 12 10 10 10 11 11 10 9 8 9 9 9 9 10 11 10 10 9 9 9 9 9 9 9 9 10 9 9 9 9 10 11 11 10 8 8 8 8 8 9 10 9 9 9 10 10 10 11 12 13 14 15 16 16 15 15 15 16 16 15 14 12 11 10 10 10 10 11 11 11 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 7 7 7 7 7 8 9 9 10 11 11 11 11 11 10 8 7 7 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 11 12 12 12 11 10 9 8 8 8 8 8 8 8 8 9 10 10 10 9 9 9 9 9 8 8 8 9 9 10 11 11 10 10 10 9 9 9 8 8 8 7 6 6 6 nan
nan 9 9 9 9 8 8 7 7 8 8 7 7 7 9 10 11 11 12 12 12 11 12 12 11 10 9 9 9 9 10 10 10 10 11 10 10 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 9 8 7 7 6 6 6 6 6 5 6 7 7 8 8 9 10 12 13 13 12 11 11 12 14 15 15 15 15 14 12 11 10 9 9 10 11 11 10 10 10 9 9 9 8 8 9 9 9 9 9 10 10 9 9 9 8 8 8 7 8 8 9 10 11 11 12 12 11 10 9 8 8 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 9 9 11 12 13 12 11 9 8 7 7 7 8 8 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 8 9 10 11 11 11 11 10 9 8 9 9 8 7 6 6 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 11 11 12 12 12 12 12 11 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 10 10 9 8 7 6 6 5 5 5 4 4 5 6 6 6 6 7 8 9 10 10 10 9 9 10 11 12 13 14 15 14 13 11 10 9 9 10 11 12 12 11 10 9 9 8 8 8 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 10 11 11 12 12 11 11 9 7 6 6 6 7 8 8 8 8 7 6 6 6 7 7 6 6 6 8 10 12 13 12 11 9 8 7 7 7 8 9 9 9 9 9 10 10 10 9 9 9 8 8 8 8 8 9 10 11 12 12 12 11 10 9 9 9 9 8 7 7 nan
nan 6 6 6 6 6 6 6 5 5 5 6 7 7 8 9 10 11 11 11 11 11 11 10 9 10 12 14 14 14 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 8 8 8 8 7 6 5 5 4 4 4 4 5 6 6 6 5 6 7 7 8 8 8 7 7 8 9 10 11 12 13 13 12 11 10 10 10 11 12 13 13 12 11 9 8 8 8 9 9 9 10 10 10 10 11 11 11 10 10 9 9 8 8 8 8 8 9 9 10 11 12 12 12 10 8 6 6 6 7 7 7 7 6 5 5 5 5 5 5 5 4 5 6 7 9 11 12 11 10 9 9 7 7 7 8 8 8 8 8 8 9 9 9 9 8 9 9 9 9 9 9 10 10 11 11 11 12 11 10 10 9 9 9 8 7 nan
nan 6 5 5 5 6 5 4 4 4 5 6 7 7 8 8 9 10 10 11 11 10 9 8 9 11 14 16 16 16 15 14 13 13 13 13 13 12 12 11 10 10 10 9 9 10 10 9 8 8 7 7 7 7 7 6 5 5 4 3 3 3 4 5 6 6 6 6 6 6 7 7 7 8 7 7 7 8 9 9 10 11 11 11 11 11 11 11 12 13 14 13 12 11 9 9 8 9 9 9 9 9 10 10 10 11 12 12 11 10 10 9 9 8 7 7 7 8 8 9 11 12 13 12 10 9 7 7 6 6 5 6 6 5 4 4 4 5 4 4 5 5 6 7 7 8 8 9 10 10 10 10 9 8 7 7 7 8 8 7 7 7 7 8 8 8 9 9 10 10 10 9 9 9 9 10 11 11 11 10 10 9 9 9 9 8 nan
nan 6 6 6 6 7 6 6 5 5 6 7 8 8 8 8 8 9 9 9 10 9 9 8 8 10 13 14 14 14 13 12 12 13 14 14 13 12 11 10 9 9 8 8 8 8 8 8 7 6 5 5 5 6 6 6 6 5 5 4 2 3 4 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 9 10 10 10 11 11 11 11 11 12 13 12 11 10 10 9 9 9 9 9 9 9 9 9 10 12 12 12 12 11 11 10 8 7 7 6 7 8 8 9 10 12 13 12 11 10 10 10 8 6 5 5 5 4 4 4 4 5 5 5 6 7 7 8 8 7 7 7 8 10 10 10 10 9 8 9 9 9 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 11 10 10 10 9 9 9 9 nan
nan 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 9 9 9 9 10 11 11 11 11 10 10 11 12 13 13 13 12 10 9 8 8 8 7 7 7 7 6 6 5 4 3 3 4 5 6 6 6 7 6 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 10 9 10 11 11 11 10 10 10 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 8 7 7 8 8 8 9 9 11 12 12 12 12 12 12 10 8 7 6 5 5 4 4 5 5 6 7 8 8 8 8 8 8 7 7 8 9 9 10 9 9 10 10 11 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 11 11 10 10 9 9 9 9 nan
nan 7 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 10 10 9 9 10 11 12 11 10 9 8 9 10 11 12 12 11 10 9 8 8 7 7 7 6 6 6 5 4 4 4 4 4 5 6 7 7 8 8 8 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 10 11 11 10 10 9 9 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 8 8 7 8 9 10 10 11 12 13 13 12 10 9 9 8 7 6 5 5 6 6 7 8 8 8 8 7 7 8 8 8 8 8 9 9 10 10 11 11 10 10 9 10 10 9 8 8 7 7 7 7 7 8 9 9 9 9 8 9 9 10 11 10 10 10 9 9 9 nan
nan 8 9 9 10 10 10 10 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 10 11 13 13 12 10 8 7 7 8 9 10 10 10 9 8 8 7 6 6 6 6 5 5 4 5 7 8 9 8 7 7 7 7 8 8 8 8 8 7 7 7 7 6 6 6 6 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 8 9 10 10 10 10 9 9 8 7 7 9 9 10 10 10 10 10 9 9 9 10 9 9 10 11 12 12 11 11 11 9 8 7 8 8 8 9 10 11 12 13 12 11 11 10 10 9 7 6 5 4 4 5 6 7 7 7 7 7 8 9 9 8 9 9 9 10 11 12 12 11 11 10 10 10 9 9 8 7 7 7 7 7 7 7 8 8 8 8 8 9 10 10 10 10 10 9 9 8 nan
nan 8 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 12 14 14 12 10 8 6 5 6 7 8 9 9 8 7 7 6 6 5 5 5 4 4 6 8 10 11 11 10 8 8 7 7 7 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 9 8 8 8 7 7 8 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 11 11 10 9 8 8 8 8 8 9 10 11 11 11 10 10 10 9 9 8 7 6 5 4 3 3 4 6 7 8 8 8 9 9 9 9 10 10 10 10 12 12 12 12 11 11 10 10 10 10 10 10 9 8 8 8 7 7 7 7 8 8 8 9 9 9 10 10 10 9 8 nan
nan 9 10 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 7 7 7 9 10 12 14 15 13 11 9 7 6 6 6 7 8 8 8 7 8 7 6 6 5 4 5 7 9 11 12 12 11 9 9 8 7 6 6 8 9 9 9 8 8 8 8 8 7 7 7 6 7 7 7 8 8 8 8 8 8 9 9 9 8 7 7 8 9 10 10 9 8 8 7 7 7 8 8 8 8 8 8 9 9 10 10 10 10 11 11 11 10 10 10 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 8 6 4 4 6 7 8 9 9 9 9 9 10 10 10 10 10 11 12 12 12 12 11 11 11 11 12 12 12 12 11 10 10 9 8 8 8 8 8 8 8 8 8 9 9 10 10 9 nan
nan 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 9 10 11 12 14 13 11 10 8 7 7 7 8 8 8 8 7 8 7 7 6 6 6 7 9 10 11 11 11 10 9 10 8 7 7 7 8 9 9 8 8 8 8 8 8 8 8 7 7 6 6 7 8 9 9 9 8 7 8 9 10 9 8 8 8 9 9 9 9 8 8 7 7 8 8 7 7 8 8 8 8 9 10 10 11 11 11 10 10 10 11 11 11 11 10 10 9 9 8 8 8 7 7 7 7 7 7 8 9 10 11 12 13 13 13 13 12 10 9 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 11 11 11 11 10 9 8 8 8 8 8 8 8 9 9 10 10 10 nan
nan 9 8 8 7 7 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 11 11 11 10 10 9 8 8 9 9 9 9 8 8 8 8 7 7 8 8 9 9 9 10 10 9 9 9 8 8 8 8 9 8 8 8 8 8 8 9 9 9 9 8 7 6 6 7 8 9 9 9 8 7 8 9 9 9 9 8 8 9 9 9 8 8 7 7 8 8 8 7 8 8 7 7 8 8 9 10 10 10 10 10 10 10 10 11 11 10 10 10 9 9 9 8 8 8 7 7 7 7 7 8 8 9 10 10 11 12 13 14 15 15 14 12 10 10 9 9 9 9 9 9 8 8 8 9 9 8 7 7 8 9 10 11 12 12 12 11 11 11 11 11 11 11 10 9 9 8 8 8 9 9 9 10 10 10 10 nan
nan 8 8 7 8 8 8 9 9 10 10 9 9 9 9 9 8 8 7 7 7 8 8 9 9 9 9 9 10 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 9 9 9 9 9 9 9 9 9 8 8 7 6 6 7 8 9 9 8 8 7 8 8 9 9 9 8 9 9 9 8 8 7 7 8 8 8 8 8 8 8 7 8 8 9 9 9 9 9 9 10 9 10 10 10 10 11 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 8 9 10 10 12 13 14 14 12 11 9 8 7 7 8 8 8 7 6 6 7 7 7 7 6 7 7 8 9 10 10 10 10 10 10 11 11 11 10 10 10 10 10 9 9 9 9 10 10 10 10 11 nan
nan 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 7 7 7 7 8 8 9 9 9 9 9 9 10 10 11 11 11 11 11 10 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 10 9 9 9 9 9 9 9 9 8 8 6 6 6 7 8 9 9 9 8 8 7 8 8 8 8 9 9 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 9 9 9 10 10 11 11 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 10 10 8 6 5 6 6 6 6 5 5 5 6 7 7 7 7 8 7 7 7 7 8 8 8 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 10 10 nan
nan 10 11 11 11 11 10 11 11 10 10 10 9 9 9 8 8 7 6 7 7 8 8 9 8 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 8 7 6 6 7 8 9 9 9 9 8 7 7 8 8 8 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 9 8 8 9 9 10 10 9 9 9 9 10 11 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 7 6 7 7 8 7 6 5 5 5 6 8 8 8 8 8 8 7 7 6 6 6 7 8 8 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 9 nan
nan 11 11 11 11 11 10 10 10 10 10 9 9 8 8 8 8 7 7 7 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 8 8 8 7 6 6 6 7 9 9 10 9 8 7 7 8 8 8 8 8 7 7 8 9 9 9 9 8 8 7 8 8 8 9 9 9 9 9 10 10 10 9 8 7 8 9 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 11 11 11 10 10 10 9 9 8 8 8 8 8 8 8 9 10 10 9 8 7 7 8 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 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
CAPE
18 13 3 2 2 6 32 125 397 803 1164 1429 1599 1684 1900 1942 1861 1713 1566 1503 1515 1575 1558 1499 1486 1516 1506 1436 1352 1271 1189 1107 1014 925 826 692 555 448 364 290 226 152 88 54 40 34 29 24 17 8 4 5 5 9 10 8 6 4 7 11 15 21 27 32 33 33 35 41 50 60 67 75 82 84 88 90 93 95 97 103 106 101 91 83 75 67 62 56 49 44 42 40 35 30 26 22 20 19 19 20 22 26 30 33 34 45 63 85 156 292 442 567 643 671 671 647 628 599 560 507 448 390 333 289 250 208 160 119 92 76 65 58 51 43 34 24 14 12 15 21 22 23 24 31 46 61 66 70 75 66 73 62 79 110 97 70 48 33 26 20 20 27 38 49 55 58 62 66 72 82 84 82 75 62 45 28 13 5 2 1 0 2 9 24 45 46 43
22 22 12 8 8 3 35 139 385 742 1083 1350 1521 1639 1852 1901 1817 1690 1560 1502 1527 1604 1633 1607 1583 1574 1525 1432 1350 1290 1211 1109 1005 911 813 699 550 432 343 289 242 174 97 55 42 34 30 25 16 5 3 3 6 12 13 12 11 12 11 12 14 17 22 27 30 31 31 32 36 46 52 59 66 71 78 82 85 88 95 106 109 103 95 89 82 77 73 67 61 56 51 43 36 31 27 23 22 22 23 26 29 31 32 34 43 59 72 92 208 367 478 545 587 597 586 563 550 535 510 453 395 349 301 264 225 178 134 101 81 69 61 54 47 40 34 26 20 20 24 27 29 31 34 40 48 52 53 58 70 68 91 93 107 115 120 119 109 96 77 57 49 49 54 60 61 63 71 79 89 93 90 86 83 74 58 39 23 13 7 2 0 2 10 24 50 54 50
21 24 17 12 10 5 13 122 376 710 1034 1296 1474 1631 1836 1910 1806 1689 1588 1535 1572 1660 1719 1727 1718 1672 1582 1473 1379 1300 1208 1099 964 853 731 628 517 387 288 253 218 163 108 66 44 34 29 22 11 5 3 4 10 13 12 12 15 17 15 12 11 13 16 20 26 28 29 30 31 35 39 43 50 58 64 68 75 84 93 103 109 106 99 96 92 90 84 75 66 60 53 44 36 31 27 25 25 26 27 29 31 30 29 30 44 59 71 90 224 399 488 502 502 495 484 474 468 452 436 394 341 303 272 238 195 151 114 89 77 69 62 54 47 40 33 28 27 30 32 33 35 36 35 35 34 31 33 37 43 50 58 68 68 66 72 73 80 99 109 103 95 89 75 64 61 66 73 80 85 84 83 83 84 80 67 50 35 21 10 1 2 5 10 21 46 59 59
19 23 20 15 11 7 12 113 369 703 1014 1264 1455 1623 1801 1905 1804 1637 1568 1577 1660 1726 1781 1791 1783 1712 1609 1501 1411 1335 1203 1052 932 835 717 621 500 340 258 236 216 173 117 70 46 34 27 20 9 3 2 4 9 10 9 10 13 13 12 11 11 11 12 16 21 25 27 29 30 30 31 32 37 41 44 48 55 64 79 100 112 112 105 101 103 99 90 76 65 58 49 40 34 29 26 26 27 28 28 28 27 24 24 27 41 56 67 87 184 333 425 428 406 386 365 366 355 346 356 324 284 256 231 199 162 126 100 85 79 72 64 55 46 39 33 30 31 36 39 40 40 36 29 22 18 17 18 22 28 35 39 39 38 38 39 42 49 61 76 90 103 107 93 71 62 62 66 71 71 69 70 74 79 78 71 58 43 28 18 15 12 10 22 45 62 68 65
19 21 20 17 13 8 12 101 363 697 993 1249 1465 1621 1752 1846 1796 1593 1529 1605 1740 1824 1855 1836 1837 1741 1615 1501 1396 1290 1150 1058 958 837 686 552 437 321 254 235 214 174 122 73 45 34 26 19 9 3 2 6 11 12 12 11 12 12 12 11 10 9 9 13 18 22 24 28 28 28 27 27 29 31 33 35 40 49 65 88 107 123 137 113 104 92 77 65 61 55 45 36 32 29 27 26 26 25 25 25 23 21 19 26 39 51 61 76 128 240 352 363 317 287 250 249 244 238 231 217 203 187 169 145 122 104 93 88 80 71 62 53 44 36 30 30 32 39 42 42 39 31 22 14 10 6 5 11 14 22 28 29 26 23 20 20 25 33 45 58 77 91 91 76 63 59 58 58 56 54 55 62 69 74 71 64 51 37 30 33 28 22 37 61 72 73 70
15 21 23 20 15 9 14 84 353 696 983 1227 1427 1573 1706 1795 1833 1671 1535 1635 1780 1889 1856 1841 1817 1719 1607 1508 1389 1251 1135 1052 948 800 630 484 383 304 250 230 220 189 137 80 45 33 24 19 10 3 2 5 12 16 15 13 12 13 12 11 10 9 8 12 18 23 26 26 27 27 24 23 23 25 28 31 35 42 54 71 84 99 105 96 85 73 63 59 56 49 39 32 30 29 26 26 25 25 23 22 21 19 19 25 36 46 53 63 88 160 272 295 243 208 178 166 159 153 141 132 128 121 110 98 91 90 90 87 78 69 61 53 43 35 33 33 33 36 38 36 32 24 13 3 1 0 0 0 4 9 14 17 13 9 7 9 13 18 28 39 55 71 82 76 60 50 47 45 43 42 45 53 64 74 78 72 61 50 43 40 32 33 55 74 75 76 77
13 25 31 28 21 13 17 67 353 700 968 1199 1387 1525 1664 1742 1789 1712 1595 1692 1819 1923 1891 1808 1773 1716 1620 1509 1377 1234 1113 1017 901 744 609 514 407 321 263 230 207 166 128 85 46 35 24 16 9 2 2 5 7 11 13 13 13 13 13 13 11 11 13 18 25 32 35 32 33 29 23 21 21 23 26 31 34 37 41 46 53 61 63 63 60 58 56 55 51 43 34 28 27 27 26 26 26 25 24 23 22 21 20 23 34 44 48 54 68 103 169 199 180 153 132 121 114 110 104 99 94 89 85 81 80 84 87 84 75 67 60 52 41 37 36 35 35 34 33 29 24 16 5 0 0 0 0 0 0 1 3 4 4 4 1 1 5 9 14 24 39 58 79 73 52 41 37 35 35 37 40 50 65 78 83 80 70 61 53 47 40 47 73 79 76 79 85
17 33 39 34 26 19 28 77 368 698 954 1165 1329 1471 1609 1674 1712 1716 1675 1727 1843 1958 1969 1860 1745 1669 1590 1474 1324 1168 1047 957 855 715 618 545 433 357 296 248 216 178 128 77 44 34 24 18 11 4 2 4 4 8 12 14 15 16 17 17 16 16 21 27 35 44 48 46 44 38 28 23 24 30 35 37 37 35 33 34 36 41 47 53 55 55 54 52 46 37 30 26 26 25 25 25 26 25 24 23 23 22 20 24 33 41 45 51 60 72 93 113 118 112 101 95 92 90 85 79 75 71 68 69 74 79 83 82 73 64 56 48 41 39 38 37 35 32 28 22 16 8 2 0 0 0 0 0 0 0 0 0 1 2 0 0 3 6 8 13 28 53 79 71 45 31 30 29 32 37 43 55 69 83 90 85 75 65 60 58 61 71 83 81 77 79 88
27 43 47 39 29 25 38 131 373 660 901 1092 1257 1416 1552 1608 1627 1685 1719 1746 1823 1930 1996 1915 1764 1626 1519 1409 1278 1143 1025 929 825 724 644 570 458 397 339 288 237 170 108 67 44 34 25 19 13 6 2 3 3 6 12 15 19 22 24 23 22 23 28 34 42 51 58 60 56 50 39 33 36 42 48 49 45 38 31 30 31 35 47 52 53 51 49 45 38 31 27 26 25 25 26 26 26 25 24 24 25 24 23 23 28 37 44 50 56 61 67 69 73 77 76 75 73 72 68 64 61 59 59 61 67 74 77 77 68 57 49 45 43 41 40 38 34 30 23 15 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 9 20 47 73 70 41 22 24 28 34 40 49 61 72 81 85 82 75 69 67 71 77 84 86 83 81 81 84
39 52 53 43 34 32 51 150 322 574 829 1013 1176 1352 1497 1575 1587 1647 1755 1796 1773 1840 1909 1870 1742 1592 1475 1359 1228 1111 1017 937 824 765 687 594 491 420 369 321 259 184 115 68 43 32 24 19 14 7 1 2 3 6 11 16 22 27 27 28 29 31 35 41 48 55 61 65 64 60 52 46 47 52 54 54 47 36 28 26 28 31 42 48 49 45 40 36 33 30 28 26 26 27 27 27 27 27 27 28 28 28 26 24 25 31 40 48 53 56 56 53 52 52 54 56 57 58 56 54 54 53 55 55 60 67 71 70 62 50 41 37 37 37 38 37 33 26 18 9 2 0 0 0 0 0 0 0 0 1 2 4 5 0 0 0 0 3 6 8 15 35 63 69 34 18 19 26 35 40 47 55 64 72 76 76 73 71 73 77 82 85 85 84 83 81 81
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