Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 9 12 14 17 18 19 20 20 20 18 15 13 11 9 7 7 6 7 7 8 8 8 8 8 8 9 9 9 10 10 9 10 9 9 9 9 9 10 11 11 11 10 9 9 8 8 8 8 8 8 7 7 7 7 6 7 7 8 8 8 9 9 10 10 11 11 11 10 9 7 6 6 6 6 5 6 8 9 9 10 11 11 10 10 11 12 15 16 14 13 14 15 14 12 12 11 11 11 10 9 8 7 8 8 9 10 9 8 7 7 8 8 6 4 3 1 -1 0 3 5 7 9 10 11 11 11 10 8 6 6 7 7 7 7 8 8 8 7 5 4 4 4 5 6 7 8 9 10 9 8 7 7 7 7 8 8 8 8 7 7 7 8 7 7 8 8 8 8 7 7 7 7 7 6 6 6 7 8 9 9 9 9 nan
nan 7 7 6 7 8 10 12 13 15 17 19 21 21 20 17 13 10 8 7 6 7 7 7 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 9 9 9 9 8 8 8 8 7 7 8 8 9 9 10 10 11 12 12 11 10 9 8 7 6 6 5 5 4 5 6 7 9 10 11 11 11 10 10 11 13 14 13 14 15 16 15 13 12 12 12 12 12 11 11 10 10 11 11 11 10 8 8 8 9 9 7 6 5 5 3 2 2 4 7 9 10 11 12 12 11 8 6 6 6 7 8 9 9 9 8 6 4 3 4 4 5 6 7 8 8 9 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 6 6 5 5 6 8 9 9 9 9 nan
nan 6 6 6 6 7 7 8 9 10 12 14 17 20 20 18 16 13 11 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 9 9 9 9 10 9 8 8 8 9 9 9 9 10 10 9 9 9 9 9 10 10 10 11 12 12 12 11 10 10 9 9 7 6 5 4 4 4 4 5 7 9 10 10 11 11 10 10 11 12 11 12 13 13 12 11 11 11 12 12 13 13 12 11 10 11 11 10 9 8 8 8 9 10 9 8 7 7 7 6 5 6 8 9 10 11 12 13 12 10 8 8 8 9 10 10 10 9 7 5 4 3 4 5 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 9 8 7 7 7 7 8 8 7 7 7 7 7 6 6 5 5 6 8 9 9 9 9 nan
nan 6 6 6 6 7 7 7 7 8 9 10 13 15 17 18 17 16 15 13 11 9 8 7 7 7 7 7 7 8 8 8 7 7 7 8 9 9 9 8 8 8 8 8 8 9 10 9 8 8 8 8 9 9 10 11 12 11 11 12 12 12 12 11 10 10 10 11 11 11 10 10 10 9 8 6 5 5 5 5 5 5 6 7 8 9 10 11 10 10 10 10 10 11 11 11 10 9 9 10 11 12 13 13 12 11 10 9 9 8 7 7 7 8 9 10 10 10 10 10 9 8 7 7 7 7 8 10 11 12 12 11 11 11 10 10 10 11 10 9 7 5 4 3 4 6 7 7 7 7 6 6 6 6 7 8 8 7 7 8 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 8 8 9 9 9 nan
nan 6 6 6 6 7 7 7 7 8 8 9 10 11 13 15 16 17 18 17 15 12 9 8 8 8 8 8 8 8 7 8 8 8 8 8 9 9 9 8 7 8 9 8 8 8 9 9 8 8 8 8 9 10 11 13 14 14 14 14 15 15 15 13 10 9 9 9 10 10 9 9 8 7 7 6 6 6 6 6 6 6 6 6 6 7 8 9 9 9 9 9 9 10 11 10 9 8 8 8 9 11 12 12 12 11 10 9 8 8 8 8 8 8 9 10 11 11 11 11 10 9 8 6 6 6 7 8 10 11 12 12 12 11 10 9 9 9 9 8 7 6 5 4 5 6 8 8 7 6 6 6 6 6 7 8 7 7 7 7 8 8 8 8 8 8 7 7 8 8 7 7 7 7 7 7 7 7 6 6 6 7 8 8 9 9 nan
nan 5 6 6 6 7 7 7 8 8 9 9 9 9 11 12 14 16 18 19 18 15 12 10 9 9 9 9 8 8 7 7 9 10 10 10 10 9 8 7 7 9 10 9 8 8 9 9 8 8 9 9 10 11 13 15 16 15 15 16 16 16 16 13 11 10 9 9 9 8 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 7 8 9 10 9 8 7 7 8 9 10 11 12 12 11 10 10 9 9 10 11 11 10 10 10 11 10 10 10 10 9 8 7 7 7 8 9 10 11 13 13 13 11 9 8 8 8 8 7 7 7 7 7 7 9 9 9 8 6 6 6 6 7 8 8 7 7 7 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 8 8 8 7 6 6 6 6 7 8 9 9 nan
nan 5 6 6 6 7 7 7 7 8 8 8 8 9 9 11 12 14 16 17 16 15 13 12 11 10 10 10 9 8 7 7 9 10 11 11 10 9 8 7 7 9 9 8 8 8 8 8 8 8 9 10 11 11 12 13 13 14 14 14 14 13 12 11 10 9 8 7 6 5 5 4 4 5 5 5 4 4 4 3 3 3 4 5 5 5 5 5 6 6 6 5 6 7 8 9 8 8 7 8 9 10 10 11 11 11 11 10 10 10 11 13 14 13 12 11 10 9 10 10 10 9 8 8 8 8 9 10 11 12 13 13 13 12 10 8 8 8 8 8 8 8 8 9 10 11 12 12 10 8 7 7 8 8 9 9 8 8 8 9 10 10 9 8 7 7 7 7 8 8 8 8 7 7 8 8 8 7 7 6 6 6 7 8 8 8 nan
nan 5 6 6 6 6 6 6 6 7 7 7 7 7 8 9 11 12 13 13 12 12 11 11 11 11 11 10 9 8 8 8 8 9 10 11 11 10 9 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 8 9 9 9 9 7 6 6 6 5 4 3 2 2 3 4 4 5 5 4 4 4 3 3 2 2 3 3 4 4 4 4 4 4 4 4 5 6 7 8 8 7 7 7 8 9 10 11 11 11 11 11 11 10 11 13 15 15 14 12 10 10 10 9 9 9 9 9 9 9 9 10 12 13 12 12 13 13 11 10 9 9 9 8 8 7 8 9 11 12 14 13 12 10 9 9 10 10 10 10 9 9 10 11 11 11 9 8 7 6 6 7 8 8 9 9 8 7 7 7 8 8 8 7 6 6 6 7 8 8 nan
nan 6 6 6 5 5 5 6 6 7 7 7 7 7 7 8 9 10 11 11 10 9 9 9 9 10 11 12 11 10 9 9 9 9 10 11 12 11 9 7 6 6 6 7 8 8 9 9 8 8 7 6 4 3 3 4 5 5 5 4 3 2 1 1 2 2 2 2 1 2 3 4 5 5 5 5 5 4 4 3 3 3 3 4 3 3 3 2 2 2 3 3 4 4 5 6 6 6 6 6 7 8 9 10 11 11 11 11 11 11 11 12 13 14 13 12 11 10 10 9 9 9 10 10 10 9 9 10 11 11 10 10 11 12 12 11 11 10 10 8 7 7 7 8 9 11 12 12 12 12 12 12 13 13 12 11 10 10 10 11 11 10 9 8 7 6 7 7 7 8 9 9 9 8 7 7 8 9 8 7 6 6 6 7 8 8 nan
nan 7 6 6 5 5 5 6 7 7 8 8 8 7 7 8 8 9 10 10 10 10 9 9 10 11 13 14 13 12 11 11 10 10 11 12 12 11 9 7 6 6 7 8 8 8 8 8 8 7 6 4 3 3 4 5 5 5 3 1 0 -0 -0 1 2 2 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 2 1 0 0 1 1 2 3 4 4 5 6 6 6 6 7 8 9 10 10 10 11 11 11 11 11 11 12 12 11 10 10 9 9 9 9 9 10 10 10 10 10 10 9 8 8 9 10 11 11 11 11 10 9 8 7 7 7 7 8 9 10 11 12 13 14 14 14 13 12 11 10 11 11 11 9 8 6 6 8 8 8 8 8 9 10 9 8 7 7 8 9 9 8 6 6 7 7 7 7 nan
nan 6 6 5 5 6 7 8 8 8 8 8 8 7 7 7 8 8 9 9 10 11 11 12 12 13 15 16 16 15 14 12 10 10 11 13 13 12 11 8 7 7 8 9 8 8 8 8 7 6 5 5 5 7 8 8 6 4 3 1 1 1 2 3 4 5 5 5 6 6 6 6 7 7 7 6 6 5 5 5 5 6 5 3 3 2 1 -0 -1 -2 -2 -1 0 2 3 4 5 6 6 6 6 6 7 8 9 9 9 10 10 11 12 11 11 10 10 10 10 10 10 9 8 8 8 9 10 10 10 10 10 10 9 8 7 8 10 11 12 12 11 10 9 8 7 6 6 7 8 9 10 11 12 12 12 12 12 11 11 10 11 11 10 9 7 6 7 9 10 9 9 9 9 10 10 9 8 8 9 9 9 8 7 7 7 8 7 7 nan
nan 7 6 6 6 8 9 9 9 9 8 8 7 7 7 7 7 7 7 8 8 10 12 13 14 15 16 18 18 17 16 13 11 10 11 13 15 15 13 10 8 7 8 9 8 8 8 8 7 5 5 6 7 8 8 6 4 4 4 4 5 6 7 7 7 7 7 7 7 7 8 8 8 8 8 7 6 6 6 6 6 5 4 3 3 2 2 1 -1 -2 -2 -1 -0 1 3 4 5 6 7 7 6 6 7 8 9 9 9 9 10 10 12 12 12 11 10 10 11 11 11 10 9 8 8 7 8 9 10 10 10 11 11 9 8 9 10 11 13 13 12 11 10 9 8 7 6 6 7 7 8 9 11 11 11 11 11 11 11 11 12 12 11 10 8 7 9 10 10 10 10 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 7 6 nan
nan 9 7 7 8 9 9 9 9 9 8 7 7 6 7 7 7 7 7 7 8 8 10 12 13 14 14 15 16 16 15 14 13 12 12 14 15 15 15 13 10 7 6 7 8 8 9 9 7 5 5 7 8 8 6 5 5 6 8 9 10 12 12 10 9 8 8 8 9 9 10 10 9 8 8 7 7 7 7 7 6 5 4 4 4 4 4 3 3 3 4 3 4 4 5 5 6 6 7 8 8 7 8 8 9 10 9 9 9 10 11 12 12 12 10 10 10 11 11 11 10 9 8 7 7 9 10 10 10 10 11 10 10 10 11 12 14 14 13 11 10 10 9 8 8 7 7 7 7 8 9 10 11 11 11 12 12 13 13 14 14 13 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 9 8 8 8 8 8 8 7 7 nan
nan 9 8 8 8 9 9 9 9 9 8 7 6 6 6 7 7 7 8 8 8 8 9 10 11 11 12 12 12 12 12 12 12 12 12 13 14 15 16 15 13 10 7 7 8 8 8 8 7 6 7 9 9 8 7 8 10 12 12 12 12 12 11 10 10 9 9 10 10 10 10 9 8 8 7 7 8 9 8 7 7 6 6 7 7 7 7 7 9 12 13 12 10 9 8 7 6 7 8 8 9 9 9 9 9 10 10 10 9 9 10 11 11 11 10 9 8 9 10 11 11 11 9 7 7 8 9 10 10 10 10 11 11 12 12 13 14 15 13 11 10 10 10 10 10 9 8 7 6 6 8 9 9 9 10 10 11 12 13 14 15 15 15 14 14 12 11 10 10 9 9 9 9 9 9 10 10 9 8 8 8 8 8 8 8 8 nan
nan 7 6 6 8 9 9 9 9 8 8 7 7 6 6 7 7 8 8 8 8 9 10 10 11 10 10 10 10 10 10 10 10 11 11 12 13 14 15 16 16 14 11 10 9 9 8 8 8 9 10 10 10 10 10 12 13 13 12 10 9 8 7 7 8 9 10 10 9 7 6 6 7 7 8 8 9 9 8 7 7 9 10 11 11 10 10 11 14 18 20 18 15 12 10 8 7 8 8 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 9 8 7 7 8 9 11 11 10 8 7 8 8 9 9 9 10 12 12 12 12 12 14 14 13 11 10 10 10 11 11 10 9 7 6 7 7 8 8 8 8 8 9 9 11 12 13 14 15 15 14 14 13 12 11 10 9 9 9 8 8 9 9 9 8 8 8 8 8 8 8 8 nan
nan 6 5 5 7 8 9 8 8 8 8 7 7 7 6 7 7 8 8 9 9 10 10 10 11 10 10 10 10 10 10 10 10 10 11 12 12 13 14 15 16 16 15 13 12 12 11 11 11 11 12 12 12 13 13 14 12 9 6 5 6 6 6 7 8 9 9 7 5 3 3 5 6 7 8 9 9 9 8 8 8 11 13 15 15 14 13 13 15 18 19 17 15 12 9 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 8 9 10 11 11 10 9 8 8 9 10 10 11 12 13 13 12 11 12 12 12 11 11 10 10 11 11 10 9 8 7 8 8 8 8 8 7 7 7 8 8 9 10 11 12 13 14 14 14 13 13 12 11 10 9 8 8 7 8 8 8 8 8 8 8 8 9 9 nan
nan 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 13 13 14 15 16 16 16 15 15 15 15 13 13 14 15 15 16 16 14 9 4 3 4 6 7 7 8 8 8 7 5 4 3 4 6 7 8 8 9 9 8 8 8 9 11 13 15 16 15 14 12 12 13 14 13 11 10 8 7 7 8 8 9 9 9 9 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 10 11 11 11 10 10 10 11 11 11 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 7 7 7 8 8 9 11 13 14 14 15 15 14 13 11 10 10 9 8 8 8 8 8 8 8 8 9 9 9 nan
nan 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 13 13 13 14 14 15 16 17 17 18 18 17 15 15 16 16 16 16 14 10 5 3 3 5 7 8 8 8 8 7 6 5 5 5 6 7 7 8 8 9 8 8 7 8 9 10 11 11 12 12 12 10 8 7 8 8 8 7 7 7 7 7 8 8 9 9 9 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 11 10 10 10 11 11 10 9 9 9 10 10 9 9 10 9 9 8 8 8 8 8 7 7 7 7 7 8 10 11 12 13 14 14 15 14 13 12 11 11 10 10 10 9 9 9 9 9 10 10 10 nan
nan 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 11 11 12 12 12 12 13 13 13 13 13 13 13 14 15 16 17 18 19 18 17 16 15 15 15 14 12 10 6 4 3 5 7 9 10 10 10 9 8 7 6 6 6 7 7 8 8 9 9 8 7 7 8 9 10 9 8 8 9 9 8 6 4 4 4 4 5 6 6 7 7 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 10 10 11 11 11 10 9 9 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 7 7 7 8 8 9 10 10 11 11 13 14 14 14 13 12 12 11 11 11 10 10 10 10 10 10 10 10 nan
nan 8 8 9 9 8 8 8 7 8 8 8 9 9 9 9 8 8 9 9 10 10 10 10 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 14 16 16 17 17 17 17 16 15 14 13 11 10 8 6 5 4 5 7 10 12 12 11 10 9 8 7 6 6 6 7 8 8 8 9 9 8 7 7 7 9 10 10 9 8 8 8 8 7 5 3 3 3 4 5 6 6 7 8 8 8 9 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 8 8 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 8 7 7 8 9 9 10 10 9 10 11 12 13 13 12 12 12 11 11 11 11 10 11 11 11 11 10 10 nan
nan 9 9 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 11 11 11 12 12 12 11 12 12 12 12 13 13 13 13 13 13 14 16 18 18 17 16 16 15 15 14 12 10 8 7 6 5 6 6 7 9 11 12 11 9 7 5 5 5 6 6 7 7 8 9 9 9 9 9 8 7 8 9 10 10 9 9 9 9 8 8 7 6 5 4 4 4 5 6 7 8 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 9 9 8 8 8 7 7 6 6 6 6 6 7 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 8 7 7 8 8 8 9 9 9 9 10 11 12 12 11 11 10 10 10 10 10 10 11 11 12 12 12 11 nan
nan 9 9 10 10 10 10 10 10 10 11 11 11 12 11 11 10 9 9 10 11 11 11 12 12 12 12 11 11 11 12 12 12 13 13 13 13 13 13 14 16 18 19 18 17 16 15 14 13 11 9 8 8 8 9 10 11 12 13 13 12 11 9 7 4 3 4 6 8 9 9 9 10 10 10 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 6 5 6 8 9 10 10 10 11 11 11 10 10 9 9 9 9 10 10 9 8 8 7 7 7 6 6 6 6 6 6 5 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 8 8 8 7 7 6 6 6 6 7 7 8 8 9 9 10 11 10 9 9 9 9 9 10 10 10 11 12 13 13 13 nan
nan 9 9 9 10 10 11 11 11 11 11 11 11 12 12 11 10 9 9 10 11 11 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 13 13 14 15 17 18 18 17 15 14 14 13 12 11 11 11 12 14 15 17 19 18 17 16 14 12 10 8 7 8 10 12 13 13 12 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 7 7 7 8 10 11 12 11 11 10 9 9 9 8 8 8 8 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 8 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 6 6 6 7 8 8 8 9 8 8 7 7 8 9 9 10 11 11 11 12 12 nan
nan 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 9 9 10 10 11 11 11 11 11 11 11 10 11 11 12 12 12 12 12 11 11 12 13 14 15 16 15 14 13 13 13 13 13 13 13 14 15 16 17 19 21 22 21 19 16 13 12 12 13 14 14 14 14 14 13 12 11 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 7 7 8 10 12 12 12 11 9 8 8 8 8 8 7 8 8 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 8 8 7 8 8 8 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 8 8 9 9 9 9 9 10 nan
nan 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 10 10 11 12 12 13 13 12 12 12 12 12 12 13 13 14 14 15 15 17 18 19 19 17 15 12 11 12 14 15 15 14 12 11 10 9 9 8 7 7 6 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 8 10 11 11 10 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 11 11 11 12 12 12 11 10 10 9 9 9 9 10 10 10 10 9 9 9 10 11 11 10 10 10 10 10 10 9 9 8 8 8 8 9 9 8 9 8 7 6 6 6 6 6 5 5 4 4 5 6 7 7 7 7 7 8 9 9 8 8 8 nan
nan 9 8 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 11 12 12 11 11 11 11 11 12 12 12 11 10 9 9 10 10 11 13 13 12 12 11 11 11 12 12 13 13 13 13 14 15 15 15 15 14 11 10 11 12 13 13 11 9 7 6 7 8 8 7 6 6 7 8 9 10 11 11 11 10 10 10 10 9 9 9 9 9 9 7 6 6 7 9 10 10 9 8 8 9 10 10 9 9 8 8 8 8 9 9 9 10 10 10 11 11 11 11 11 10 11 11 12 12 11 10 10 10 10 10 10 11 11 11 10 9 9 10 12 12 12 11 11 11 11 11 11 11 10 10 9 9 10 11 11 11 10 10 9 9 9 9 8 8 6 6 6 7 8 8 9 8 7 7 7 9 10 10 9 8 nan
nan 8 8 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 11 12 12 12 12 12 11 11 11 11 11 11 10 9 9 9 9 10 11 12 12 12 12 12 11 11 11 11 12 12 12 12 12 13 13 14 14 15 14 12 11 11 11 11 9 7 5 5 6 8 9 9 9 9 9 10 10 11 11 11 11 10 9 9 9 9 9 9 8 8 8 6 5 5 6 8 10 10 9 9 8 9 10 11 11 11 10 9 9 9 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 10 9 9 9 9 9 9 8 9 10 10 9 8 8 9 10 11 11 10 10 10 9 9 9 10 10 9 9 9 9 10 11 11 11 10 10 10 10 10 10 10 9 9 9 9 10 11 11 10 9 7 7 8 10 11 10 8 nan
nan 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 10 11 11 11 12 12 12 13 12 12 11 11 11 11 10 9 9 9 9 10 11 11 12 12 12 12 12 12 11 11 11 11 11 11 12 12 13 13 14 15 15 13 11 9 8 8 9 8 8 8 9 11 12 12 11 11 11 11 11 10 10 10 10 9 9 8 8 8 8 8 7 7 6 5 5 5 6 9 10 11 11 10 10 10 11 12 13 13 12 11 10 10 11 11 11 10 10 10 10 11 10 10 9 8 8 7 8 8 8 7 7 8 8 7 7 7 8 8 7 7 7 8 8 9 9 9 9 7 7 7 7 7 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 9 10 10 11 12 12 11 9 8 8 9 9 9 8 nan
nan 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 12 12 12 13 12 12 11 11 10 10 9 8 8 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 11 9 6 5 6 8 10 10 11 12 13 13 13 13 13 12 12 11 10 10 9 9 8 8 8 7 7 7 7 6 6 6 6 6 7 9 11 12 13 13 13 13 12 12 13 13 13 13 12 11 11 11 10 10 10 9 9 10 10 10 10 10 9 8 8 7 8 8 8 7 7 7 7 6 7 7 7 7 7 7 8 8 8 9 9 9 8 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 11 12 12 11 10 9 9 9 9 9 nan
nan 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 11 11 11 12 12 11 11 10 10 10 9 8 8 8 9 9 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 11 11 11 11 11 9 7 5 5 6 8 10 10 10 9 10 11 12 13 14 14 13 11 10 10 9 8 8 8 7 7 7 7 7 8 8 8 8 8 10 12 13 13 13 14 14 14 13 13 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 11 10 10 10 9 8 7 8 9 9 8 8 7 7 7 8 8 7 7 7 7 8 8 8 9 9 10 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 11 12 12 12 11 11 10 10 10 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 9 9 9 9 9 9 9 9 10 10 11 11 12 13 13 13 12 11 10 10 10 10 10 9 8 8 8 9 9 9 7 6 6 8 10 11 13 13 13 12 10 10 9 9 9 9 8 8 8 8 8 9 9 9 10 11 12 13 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 8 8 9 9 9 8 8 8 8 8 8 8 7 6 7 7 7 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 10 11 12 12 12 12 12 12 12 11 nan
nan 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 10 11 12 13 14 14 13 13 11 11 10 11 12 12 11 10 10 9 9 8 7 6 6 7 8 8 9 10 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 12 12 11 10 9 9 9 9 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 12 11 10 8 8 9 9 9 8 8 8 8 9 9 8 7 7 7 7 7 7 7 8 9 10 11 11 10 10 10 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 10 10 11 11 11 12 12 12 12 11 nan
nan 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 11 11 11 10 10 10 10 10 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 13 14 14 14 14 13 12 12 13 14 15 14 12 10 9 8 8 8 8 8 8 7 7 7 8 7 8 8 8 9 10 10 10 9 9 9 8 8 8 8 9 10 11 11 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 10 11 12 12 11 9 9 9 10 10 9 8 9 9 9 8 8 8 8 8 7 7 7 7 8 9 10 10 11 11 12 11 10 10 10 10 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 11 11 nan
nan 10 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 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 11 10 10 10 10 10 12 13 13 13 13 12 12 12 13 15 16 16 14 12 10 10 10 10 10 10 10 9 8 8 7 7 7 7 7 7 8 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 12 11 11 10 10 11 12 12 11 10 9 10 11 12 11 9 9 9 9 9 9 9 9 9 8 7 7 7 8 8 9 10 11 12 13 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 11 11 10 9 8 8 9 10 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 10 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 9 9 10 11 11 11 11 11 11 11 11 12 13 14 14 13 12 12 11 11 11 10 10 10 9 9 8 7 7 7 7 7 7 8 9 10 10 10 9 9 8 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 9 8 8 8 8 8 8 8 9 10 11 11 11 10 10 10 11 10 10 9 9 10 12 13 13 12 11 11 11 10 10 10 10 10 9 8 8 8 9 9 10 10 11 12 12 12 11 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 9 10 10 9 8 8 8 8 9 nan
nan 9 9 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 9 10 10 10 9 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 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 8 8 8 7 7 7 8 9 10 11 10 10 9 9 8 7 7 8 9 11 12 13 13 13 13 13 12 12 12 12 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 10 10 10 9 9 9 8 8 7 8 8 9 nan
nan 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 12 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 7 7 7 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 9 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 10 10 10 9 8 7 6 6 7 8 9 9 11 13 13 14 13 13 13 13 13 13 11 11 11 12 12 12 12 11 11 11 11 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 9 8 7 8 9 10 10 nan
nan 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 8 9 9 10 11 11 12 12 12 12 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 6 7 7 8 8 9 9 8 8 8 9 8 8 8 8 9 9 9 9 10 10 11 11 11 11 10 10 10 10 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 7 8 9 10 10 10 9 8 6 5 6 6 7 7 8 9 11 12 13 12 11 11 12 12 12 12 11 11 11 12 11 11 11 11 11 11 10 9 9 10 10 11 11 10 10 9 9 9 9 9 8 9 9 9 9 9 10 10 11 11 10 9 8 8 9 10 11 11 nan
nan 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 10 11 11 12 12 12 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 11 12 12 13 13 12 12 11 10 11 11 10 10 10 10 9 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 7 8 9 10 10 10 9 7 6 6 6 7 6 7 8 9 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 11 11 11 10 9 9 9 10 11 11 11 10 10 10 9 9 9 8 8 9 9 9 9 9 10 10 10 10 9 9 9 10 10 11 11 nan
nan 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 9 9 10 10 11 11 11 11 11 11 10 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 8 7 7 6 6 6 7 7 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 11 12 12 13 13 13 12 11 10 9 9 9 9 9 9 8 7 7 8 8 8 8 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 8 8 9 9 9 8 8 7 7 7 6 6 7 7 8 8 9 9 9 10 10 10 9 9 10 10 10 9 9 9 9 10 11 11 10 9 9 9 10 10 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 9 9 10 10 10 10 10 nan
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nan 9 9 10 10 12 13 14 15 15 14 13 12 12 13 13 12 12 11 11 10 10 9 9 9 8 7 6 6 6 7 10 13 16 18 18 17 15 14 13 13 13 13 12 12 11 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 13 12 11 11 11 11 10 10 9 8 8 8 8 9 9 10 10 10 10 10 9 8 8 8 8 8 8 8 8 7 7 6 4 3 4 5 7 9 11 13 12 11 10 11 11 11 10 8 8 8 9 9 10 10 10 10 10 10 11 10 10 9 9 9 9 8 9 9 9 10 10 10 8 7 6 5 5 5 6 8 10 12 12 10 8 7 7 8 9 9 9 8 8 9 10 11 12 11 nan
nan 10 10 10 10 11 12 14 15 14 13 12 12 12 12 12 12 12 12 11 10 10 10 10 9 9 8 6 6 6 7 11 14 16 18 18 17 15 14 14 14 14 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 12 12 12 11 11 11 10 10 10 9 9 9 9 10 10 11 11 12 11 11 10 9 9 9 9 9 9 9 9 9 8 6 5 4 4 5 7 8 10 11 11 11 11 11 11 10 9 8 8 9 9 9 10 11 11 11 10 11 11 10 9 8 8 8 8 8 9 9 10 10 10 9 8 7 6 5 4 4 4 6 7 10 12 12 11 11 10 9 8 7 6 6 7 9 10 12 13 12 nan
nan 11 11 10 10 11 12 14 14 14 13 12 11 10 11 11 12 12 12 11 10 10 10 10 9 8 7 6 6 6 7 10 13 15 17 17 15 14 14 14 14 14 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 12 12 12 11 11 10 10 10 10 11 11 12 11 11 11 11 12 12 12 12 11 11 10 10 9 9 9 9 9 10 9 7 5 4 4 5 6 7 9 10 11 11 11 10 9 9 9 9 9 9 9 9 10 11 11 11 11 11 12 11 10 8 7 7 7 8 9 10 11 11 10 9 8 7 6 5 4 3 4 4 5 7 10 11 12 12 12 10 8 7 6 6 8 9 11 13 13 11 nan
nan 12 12 12 11 11 12 13 13 13 13 12 10 10 10 11 11 11 11 11 10 10 9 9 9 8 7 6 6 6 8 10 13 14 15 14 13 13 13 13 13 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 11 12 14 14 14 13 12 12 12 12 12 12 12 11 11 10 10 10 9 9 9 10 9 8 6 5 4 5 6 7 8 10 11 12 11 10 9 9 9 9 9 9 9 9 9 10 11 11 11 12 12 11 10 9 8 7 6 7 9 12 12 12 11 9 7 6 5 4 4 3 3 3 3 5 8 10 11 12 12 11 10 8 7 7 8 8 10 12 13 11 nan
nan 12 14 14 13 12 11 12 12 12 12 11 10 9 10 10 10 10 10 10 10 9 9 8 8 7 7 6 7 8 10 12 14 14 14 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 9 8 8 8 8 9 9 9 8 8 8 8 8 9 9 10 10 11 11 11 11 10 10 9 9 9 10 11 13 14 15 14 14 13 12 12 12 12 12 12 12 11 11 10 10 9 9 9 10 10 9 7 5 4 5 5 6 8 10 12 13 12 11 10 9 9 8 8 9 9 9 9 9 10 11 11 11 11 11 11 11 9 8 6 6 9 12 13 13 12 10 8 7 5 5 4 4 3 2 2 4 7 9 11 11 11 11 11 9 8 8 8 8 10 12 13 12 nan
nan 13 15 16 14 13 12 11 11 11 11 10 10 9 9 9 10 10 10 10 10 9 9 8 7 7 7 7 8 10 12 14 15 13 12 11 11 11 11 11 11 12 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 10 9 9 8 9 9 11 12 13 14 14 14 14 13 13 12 12 12 13 12 12 11 10 9 9 9 9 10 10 10 8 6 5 5 5 6 7 9 11 13 12 11 11 10 9 8 8 8 9 9 9 9 9 9 10 10 11 11 11 11 10 9 8 7 8 9 10 11 12 12 11 9 7 6 5 4 3 2 2 4 7 10 10 10 10 11 11 10 9 9 8 8 10 11 11 10 nan
nan 13 16 15 13 12 11 11 11 11 10 10 10 9 10 10 10 11 11 11 11 10 9 8 8 7 8 9 10 12 14 15 14 12 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 10 10 10 11 10 10 10 10 9 9 8 9 9 11 12 12 12 13 14 14 14 13 13 13 13 13 13 12 11 10 10 9 9 10 10 11 11 9 7 6 5 5 5 6 8 10 11 12 11 11 10 9 8 8 8 9 9 9 9 9 9 9 9 10 11 11 11 10 10 9 9 8 7 7 10 13 14 13 12 9 8 6 5 3 2 2 5 8 10 10 10 10 10 10 10 10 10 9 8 8 9 8 7 nan
nan 12 14 13 12 11 10 10 11 11 11 10 10 10 10 10 11 11 11 11 11 10 9 9 9 9 10 11 13 14 15 14 12 11 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 8 7 7 8 8 8 8 9 9 9 10 10 11 10 10 10 10 9 9 9 9 9 9 10 11 11 12 13 14 14 14 13 13 14 14 14 14 13 12 11 11 10 9 10 10 11 11 10 8 6 5 5 5 6 7 8 9 10 10 10 10 9 9 8 8 8 9 9 8 8 8 8 9 9 10 11 11 10 9 9 9 9 8 7 10 13 13 13 12 10 8 7 5 3 1 2 6 9 11 11 10 10 10 11 11 11 10 8 7 6 6 5 5 nan
nan 9 11 12 11 10 10 10 10 11 11 11 10 10 10 10 11 11 11 10 10 10 10 10 11 11 12 13 14 15 14 13 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 9 9 10 10 10 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 12 13 13 14 13 13 12 13 15 15 16 15 14 13 12 11 10 10 11 11 12 11 9 7 5 5 5 5 6 7 7 8 8 9 9 9 9 9 9 9 8 8 8 7 8 8 8 9 10 11 11 9 8 9 10 10 9 8 9 10 11 11 10 9 8 7 6 3 2 4 7 11 13 13 11 11 11 12 12 11 9 7 6 5 5 5 6 nan
nan 10 12 12 12 11 10 10 11 11 11 11 11 11 11 11 11 11 10 10 11 12 12 12 13 13 14 15 15 14 13 12 11 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 9 9 9 10 10 11 11 11 11 10 9 8 8 8 9 9 9 9 9 8 8 7 7 8 8 9 9 10 10 11 11 10 10 10 10 11 10 10 10 10 10 10 11 12 13 14 13 12 11 11 13 15 16 16 15 15 14 14 13 13 13 13 13 12 10 7 5 5 5 5 6 6 6 7 7 7 7 7 8 9 10 9 8 8 7 7 7 8 8 9 10 11 10 9 9 9 9 9 8 7 7 7 8 8 8 8 8 8 6 5 4 6 10 13 15 14 14 13 14 14 12 10 7 5 5 5 6 7 8 nan
nan 13 14 14 13 11 10 10 11 11 11 11 11 10 11 11 11 11 11 11 12 12 13 13 13 14 14 14 14 13 12 11 10 10 10 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 9 8 8 7 7 8 9 10 10 9 8 7 7 7 7 8 9 10 10 11 12 12 11 10 10 11 12 12 11 10 10 10 10 11 12 13 14 13 12 10 9 10 12 14 14 14 14 14 15 16 16 16 15 14 13 11 8 6 5 5 5 5 6 6 6 6 6 6 6 8 9 9 9 9 9 8 7 7 7 8 9 10 10 10 10 9 9 8 8 7 6 6 6 6 7 7 7 8 9 8 7 8 10 13 15 16 16 15 15 15 14 12 8 6 5 5 6 7 8 9 nan
nan 17 16 15 13 11 11 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 12 13 13 13 13 12 12 11 10 10 10 10 11 11 10 10 10 10 10 11 11 11 10 10 10 10 9 9 9 9 9 9 10 9 9 9 9 10 10 11 11 11 10 10 9 8 7 7 8 9 10 10 9 8 7 7 7 8 8 9 10 10 11 12 12 11 11 11 12 12 12 11 11 10 10 10 10 11 13 14 13 11 9 8 8 9 11 12 13 13 13 14 15 15 15 15 15 13 12 10 8 7 6 6 6 6 6 6 6 5 5 6 7 7 8 9 9 9 8 7 7 7 7 8 9 10 10 10 10 9 8 7 6 5 5 5 6 6 7 8 10 10 10 11 11 12 14 16 17 17 16 14 13 12 10 8 7 6 7 7 7 7 8 nan
nan 16 15 14 12 11 11 11 10 10 10 10 9 9 9 10 10 10 11 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 9 8 8 8 9 9 8 8 7 7 7 8 9 10 10 10 10 10 11 11 11 12 12 12 12 11 11 10 9 9 9 10 12 13 12 11 10 9 9 10 11 11 11 11 11 12 12 12 13 13 13 13 13 13 12 10 8 7 7 7 7 6 6 5 4 4 4 5 6 9 10 10 9 8 7 7 7 7 8 9 10 10 10 9 8 7 6 5 5 5 5 6 8 10 12 13 13 13 13 13 14 16 18 18 17 13 11 9 8 8 8 8 8 8 8 8 9 nan
nan 13 12 11 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 11 11 10 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 8 9 9 9 9 9 10 10 10 10 11 12 12 12 12 11 10 9 9 8 8 7 7 7 7 7 7 8 9 9 9 9 9 9 9 10 11 11 12 11 11 11 10 9 9 8 8 9 11 11 12 12 12 12 12 12 12 11 11 10 10 10 10 10 11 11 11 12 13 14 14 13 11 10 9 9 9 8 8 7 5 4 3 3 6 9 10 10 10 9 8 7 7 7 8 8 9 10 10 9 7 6 5 4 4 4 5 8 10 13 15 15 15 14 13 13 14 16 17 17 14 11 9 8 8 8 9 9 9 10 11 11 12 nan
nan 10 10 10 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 10 9 9 9 9 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 8 9 9 9 9 10 10 10 10 10 10 11 12 12 12 11 11 10 9 8 7 7 7 7 7 8 8 9 9 9 9 9 9 8 8 9 10 11 11 11 10 10 10 10 9 8 8 9 10 10 10 11 12 12 13 13 13 12 11 10 9 8 8 9 9 8 9 10 13 14 15 13 12 11 10 10 10 10 10 10 8 7 5 6 7 9 11 11 11 10 8 7 7 7 7 8 8 9 8 6 4 3 2 2 2 4 7 11 13 15 16 16 15 14 13 13 14 13 12 9 7 6 6 7 8 8 9 9 10 12 13 13 12 nan
nan 9 9 9 9 9 10 10 10 9 9 9 10 10 9 9 9 9 10 9 9 9 9 10 10 11 12 12 12 11 11 10 9 9 8 8 9 10 11 12 12 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 10 9 8 8 8 7 7 7 8 8 9 10 10 10 10 10 9 8 8 9 10 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 10 11 12 12 13 13 12 10 9 9 9 8 7 6 7 8 10 12 12 12 11 11 11 12 12 12 12 12 12 11 11 11 11 11 12 12 10 9 8 7 7 7 8 8 8 7 5 3 1 1 1 3 5 7 11 13 15 16 15 15 14 14 15 15 15 12 8 4 3 3 4 6 8 9 10 11 12 14 14 13 12 nan
nan 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 12 11 10 10 9 8 8 8 9 11 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 10 11 12 12 13 12 10 9 8 9 10 11 12 12 12 12 11 11 11 10 10 10 10 9 9 9 10 10 11 11 12 12 12 12 12 11 10 9 7 6 6 7 8 8 9 9 10 11 12 14 14 14 14 14 14 15 15 15 15 14 13 12 10 9 8 8 8 7 7 6 5 3 2 1 1 3 6 8 10 11 13 14 15 16 16 15 16 17 18 19 18 15 11 8 7 7 7 8 9 10 11 13 15 15 15 13 11 nan
nan 9 9 9 10 11 11 11 11 11 10 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 12 11 11 10 9 8 8 8 10 12 13 14 13 12 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 8 7 7 7 8 8 8 9 9 10 11 12 14 14 13 11 9 9 9 10 11 11 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 12 13 13 14 13 11 10 8 7 6 6 6 6 7 8 9 11 13 14 14 14 13 14 15 16 17 17 17 16 15 12 9 8 8 8 7 6 4 3 2 1 1 3 6 10 12 13 13 13 14 15 17 18 18 18 19 19 19 19 18 17 15 13 12 11 10 10 11 12 14 15 16 15 14 12 10 nan
nan 9 9 10 10 11 11 11 11 10 10 9 9 8 8 9 9 9 9 9 10 10 9 9 10 10 10 11 12 12 11 11 9 8 8 9 10 12 13 13 13 13 12 11 11 11 10 10 10 10 9 9 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 9 10 11 12 14 14 13 11 10 10 10 10 10 10 11 11 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 12 13 14 13 12 10 8 7 6 6 6 6 6 7 8 10 12 12 12 11 11 12 14 15 17 17 18 18 16 12 9 7 6 5 4 3 2 2 2 4 6 9 13 16 17 16 14 15 17 19 21 21 21 20 20 17 15 14 13 13 13 12 11 11 11 11 13 14 16 16 15 14 12 11 10 nan
nan 9 10 10 10 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 11 11 10 9 8 9 10 11 12 13 13 13 12 12 11 11 11 10 10 9 9 8 8 8 8 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 10 12 13 13 12 11 10 10 10 10 10 10 10 11 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 12 13 13 12 10 8 7 6 6 6 6 7 7 8 10 10 9 8 8 10 12 13 14 15 15 16 17 16 14 11 8 6 4 4 4 4 5 7 10 13 17 19 20 18 15 15 16 18 19 20 19 18 17 15 11 9 9 9 9 9 10 11 12 13 15 17 17 17 15 14 12 11 11 11 nan
nan 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 10 9 9 10 10 11 11 12 12 12 12 11 11 11 11 10 9 9 9 9 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 9 10 12 12 12 12 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 12 12 12 11 10 8 7 7 6 7 7 8 8 9 9 8 8 7 8 11 12 13 13 12 12 13 14 15 16 15 13 10 8 8 7 8 9 12 15 18 19 18 16 13 11 11 12 13 13 13 13 12 10 8 7 7 8 9 10 12 13 15 17 19 20 21 19 16 13 11 11 11 11 11 nan
nan 10 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 10 11 12 12 12 11 10 9 9 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 11 10 8 7 7 7 7 8 8 9 9 9 8 8 9 10 12 12 12 11 11 11 11 12 13 14 14 14 13 11 11 10 10 12 14 15 15 14 12 9 7 7 9 10 10 10 10 9 9 8 8 9 11 12 12 13 15 17 18 19 20 20 19 16 13 11 10 11 11 11 11 nan
nan 11 11 10 10 11 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 8 8 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 7 7 8 8 9 10 10 11 11 11 11 11 10 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 12 12 11 11 9 8 7 7 7 7 8 8 9 9 8 9 9 10 10 11 11 11 10 10 10 11 11 11 12 11 11 11 11 10 10 11 12 12 12 11 10 10 10 10 12 13 14 14 14 14 14 13 13 14 15 15 13 12 12 13 14 15 16 16 16 14 13 11 10 11 12 13 13 12 nan
nan 11 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 10 9 9 9 9 9 9 8 7 8 9 10 12 12 12 12 11 11 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 12 12 11 11 10 8 8 7 7 7 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 9 9 8 9 10 11 11 11 11 12 14 16 18 19 19 19 18 18 18 17 17 17 16 16 14 12 10 10 11 11 12 13 13 13 13 12 12 12 13 14 14 14 14 nan
nan 10 9 10 10 10 9 9 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 10 11 10 9 9 9 11 11 10 9 8 8 10 12 14 14 14 13 12 11 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 12 12 11 11 10 9 8 7 7 7 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 7 8 10 11 12 13 14 15 16 17 18 19 18 18 17 16 15 15 14 14 13 13 12 11 11 11 12 12 13 14 14 14 14 14 14 14 15 15 15 15 14 nan
nan 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 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 9 9 9 9 9 9 9 8 7 7 8 9 10 11 11 11 11 10 9 8 9 11 11 11 10 9 9 10 12 14 15 14 14 13 12 11 10 10 10 9 9 9 9 10 10 10 10 10 10 11 11 11 10 10 10 10 10 11 11 12 12 12 12 12 11 11 10 9 8 8 8 8 9 9 9 9 8 7 6 6 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 7 8 9 10 12 13 13 14 14 14 14 14 15 15 15 15 14 13 12 12 12 12 12 12 12 12 13 13 13 14 15 15 15 15 15 15 15 15 15 15 14 14 14 nan
nan 10 10 10 9 9 9 10 10 10 10 10 10 10 11 11 10 10 10 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 9 9 9 10 10 9 8 8 8 8 10 11 12 12 12 10 10 9 8 9 10 11 11 11 10 10 10 12 12 13 13 14 14 13 12 11 10 9 7 7 8 10 11 12 12 12 12 11 11 10 10 10 9 9 9 10 11 12 12 13 13 13 12 11 10 9 9 9 9 9 10 10 10 10 9 8 6 4 4 3 3 4 5 6 7 7 6 6 6 7 7 7 5 4 5 8 11 13 14 14 14 14 14 13 13 13 13 14 14 13 13 12 12 12 12 12 12 13 13 13 13 13 14 14 15 15 15 15 15 15 15 14 14 14 14 14 14 nan
nan 11 10 10 10 10 10 11 11 11 10 10 10 11 11 11 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 10 10 9 9 8 8 9 9 10 12 12 12 11 10 9 9 9 10 11 11 11 10 11 10 10 10 10 11 14 16 16 16 15 12 9 7 7 8 11 13 14 15 15 15 14 14 12 11 10 9 8 9 10 11 12 13 13 13 13 12 10 9 9 9 9 9 9 10 10 10 9 9 8 7 6 5 3 2 2 2 3 4 4 4 4 4 4 4 2 0 0 3 9 14 15 14 13 13 13 13 13 12 13 13 13 13 13 12 12 12 12 12 12 12 13 12 12 11 11 12 14 14 14 14 14 14 14 13 13 12 12 12 13 13 nan
nan 10 10 10 10 10 11 11 11 11 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 9 9 10 11 11 12 11 10 9 8 9 9 9 10 10 10 10 11 12 11 11 10 10 11 11 12 11 11 11 11 10 8 7 6 7 11 16 18 20 21 18 15 12 10 9 10 12 13 14 15 16 17 17 16 14 12 10 9 8 10 11 12 12 13 13 13 11 10 9 8 8 9 8 8 8 8 8 8 9 9 9 9 9 7 5 4 3 2 2 1 1 2 2 2 2 -0 -1 1 7 13 17 16 14 13 12 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 12 12 11 10 9 9 10 12 14 14 12 12 11 11 12 11 11 11 11 12 12 nan
nan 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 9 10 11 12 12 12 11 10 9 8 9 9 10 11 10 10 10 10 11 11 11 11 10 11 11 12 11 12 12 11 10 8 5 3 3 6 10 14 18 21 22 21 19 17 14 12 11 10 11 12 14 15 16 17 16 15 12 10 9 9 10 10 11 12 13 13 12 10 9 7 6 7 7 6 6 6 7 8 8 9 10 11 12 11 9 7 4 2 1 2 2 4 5 5 5 4 6 10 14 18 19 16 14 12 12 12 12 12 11 12 12 12 11 11 10 10 10 10 10 10 10 11 10 9 8 8 9 11 13 13 12 11 10 10 10 10 11 11 11 11 12 nan
nan 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 9 9 9 9 10 11 12 11 10 9 9 9 9 9 10 11 11 11 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 11 8 5 3 2 3 4 5 8 12 17 20 21 21 18 15 12 11 10 10 10 11 12 12 12 12 12 11 10 9 9 8 9 9 11 11 11 11 9 6 5 5 5 5 5 5 7 8 9 10 10 12 13 12 10 8 4 3 4 5 8 10 11 12 12 14 16 18 19 19 17 15 14 12 11 11 11 10 10 11 11 11 11 11 11 10 10 9 9 9 10 10 10 10 8 8 8 10 12 12 11 11 11 10 10 10 11 12 12 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
693 839 1062 1350 1713 2108 2525 2888 3191 3472 3740 3925 4003 4033 4025 3987 3945 3939 3980 4073 4133 4156 4154 4133 4097 4062 4054 4020 3978 3923 3843 3738 3631 3542 3496 3491 3524 3596 3696 3795 3838 3799 3750 3707 3679 3668 3678 3737 3875 3992 4032 4005 3956 3927 3919 3913 3890 3845 3791 3724 3647 3572 3502 3440 3348 3250 3153 3056 2955 2856 2786 2735 2661 2526 2275 1904 1483 1108 833 656 561 538 546 556 599 621 604 595 616 682 802 954 965 1114 1373 1765 2105 2230 2127 1931 1908 1943 1898 1649 1234 825 612 577 611 648 745 856 903 880 769 519 323 196 135 145 221 282 569 948 1359 1724 2013 2236 2340 2230 2058 1822 1681 1657 1630 1455 1187 737 391 167 49 7 0 0 0 0 0 0 0 1 1 1 3 7 9 9 8 6 4 1 1 1 1 1 0 0 0 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1
363 417 500 603 737 911 1188 1574 2044 2552 3048 3490 3812 3998 4034 4013 4020 4079 4160 4227 4247 4234 4207 4178 4153 4141 4143 4124 4099 4056 3983 3879 3757 3649 3595 3594 3637 3716 3820 3921 3958 3918 3875 3841 3823 3832 3872 3934 4018 4052 4045 4000 3942 3898 3877 3865 3830 3765 3698 3625 3539 3440 3346 3278 3185 3083 2985 2889 2787 2685 2607 2523 2372 2131 1792 1389 1001 696 481 350 306 311 320 315 338 358 363 381 410 452 509 552 342 399 764 1202 1481 1487 1300 1362 1488 1624 1739 1745 1588 1302 1023 919 841 744 693 656 573 495 352 172 65 18 5 11 23 23 140 448 977 1482 1801 2028 2093 1987 1824 1671 1614 1640 1633 1425 1152 756 391 137 20 1 0 0 0 0 0 0 0 0 1 2 3 5 7 8 7 5 4 2 2 2 3 4 3 4 2 2 2 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1
196 210 231 253 282 311 395 553 804 1164 1636 2189 2806 3448 3918 4145 4212 4242 4267 4285 4276 4237 4192 4162 4156 4161 4170 4172 4163 4135 4079 3994 3885 3771 3707 3712 3785 3890 3991 4058 4060 4013 3978 3965 3961 3970 4001 4042 4055 4032 3999 3945 3881 3832 3808 3785 3767 3707 3639 3555 3447 3328 3211 3103 2976 2838 2702 2582 2476 2367 2244 2082 1858 1570 1238 904 632 471 314 208 167 164 166 160 165 174 185 207 233 260 294 318 239 307 515 748 918 986 989 1088 1189 1353 1568 1752 1811 1706 1501 1384 1209 999 800 622 444 295 161 61 17 6 4 3 1 2 46 240 753 1296 1593 1895 2006 1966 1912 1888 1855 1790 1749 1544 1201 760 361 104 7 0 0 0 0 0 0 0 0 0 1 1 1 2 3 4 5 5 5 4 3 4 5 6 8 7 7 6 3 2 2 1 0 0 0 0 0 0 1 0 1 1 1 1 1 1 1
80 84 88 91 95 97 114 149 211 324 515 812 1271 1996 2820 3509 3959 4186 4265 4250 4212 4164 4110 4075 4069 4082 4095 4104 4106 4095 4060 3995 3905 3809 3760 3800 3906 4022 4106 4140 4121 4076 4038 4022 4005 3994 3999 4000 3953 3914 3877 3822 3755 3701 3677 3632 3642 3592 3527 3440 3324 3192 3039 2859 2657 2429 2212 2042 1919 1785 1617 1425 1211 972 716 481 328 270 184 123 91 79 73 69 68 68 73 90 104 109 112 107 58 97 264 453 579 642 684 738 823 979 1218 1505 1765 1903 1844 1696 1410 1040 671 384 216 121 70 35 19 13 8 3 0 2 61 299 706 1085 1287 1562 1763 1903 2026 2112 2092 1932 1735 1426 1015 575 237 62 8 1 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 3 4 4 4 4 6 8 11 10 7 5 5 4 4 2 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1
22 23 24 23 21 19 23 31 39 49 76 153 312 656 1241 2052 2892 3581 4022 4171 4115 4028 3966 3931 3919 3932 3949 3965 3979 3993 3996 3966 3896 3825 3812 3898 4022 4125 4174 4172 4143 4101 4032 3973 3937 3916 3876 3793 3749 3721 3688 3640 3573 3511 3489 3421 3419 3371 3302 3208 3088 2947 2763 2513 2210 1881 1581 1344 1168 1026 890 755 619 477 332 207 141 115 88 68 53 41 33 29 28 25 26 38 47 44 44 45 31 31 94 217 339 396 425 441 483 586 773 1035 1333 1581 1683 1632 1419 1078 672 300 115 64 49 38 30 29 25 4 8 31 221 530 786 897 953 1085 1336 1625 1885 2058 2076 1877 1522 1110 713 364 151 82 30 3 1 2 6 11 10 4 1 2 1 0 1 4 10 9 6 3 2 2 2 4 4 6 8 7 5 3 4 3 4 3 2 1 0 0 0 0 0 0 0 0 0 1 1 1 1
6 5 5 5 3 3 3 2 3 5 6 12 35 101 289 730 1460 2367 3259 3877 4097 4046 3960 3904 3887 3898 3917 3945 3978 4016 4064 4085 4043 3963 3931 4020 4131 4205 4222 4190 4120 4054 3960 3877 3831 3788 3714 3627 3569 3528 3483 3432 3362 3295 3273 3181 3090 3001 2905 2793 2660 2500 2310 2012 1670 1327 1021 768 574 453 377 313 253 194 138 91 67 54 46 38 26 16 11 7 9 10 8 10 14 18 22 28 33 46 62 102 171 235 279 286 285 339 456 628 849 1064 1251 1363 1383 1317 1129 782 465 309 233 220 236 246 229 181 220 354 556 690 715 692 690 800 1006 1270 1536 1736 1788 1634 1297 871 511 299 216 162 80 22 14 15 33 57 61 45 27 18 13 14 22 38 49 49 42 30 18 9 4 2 2 2 2 3 3 2 3 2 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 1 1
4 3 2 2 2 2 1 2 2 2 2 2 3 8 31 136 449 1069 1954 2924 3691 4021 4103 4074 4020 3982 3975 4012 4073 4137 4196 4221 4183 4090 4046 4102 4166 4200 4198 4155 4059 3981 3883 3793 3718 3640 3546 3455 3394 3354 3318 3284 3221 3124 3021 2847 2635 2430 2242 2071 1920 1783 1634 1389 1134 878 640 440 291 202 157 127 102 80 61 45 36 31 26 20 11 4 2 1 1 2 2 2 2 4 7 8 14 20 28 44 70 99 122 137 146 184 255 352 483 627 790 949 1094 1214 1278 1246 1068 885 770 730 743 740 632 554 610 699 723 668 572 492 469 550 721 923 1124 1288 1378 1395 1197 842 511 302 212 166 101 49 40 47 73 110 129 122 99 71 60 62 68 88 114 124 127 121 105 76 46 17 3 1 1 1 2 2 1 2 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 1 0
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