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 7 7 8 7 7 7 8 8 8 8 7 7 7 7 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 7 6 6 6 6 7 8 9 10 11 11 10 10 9 8 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 12 12 12 11 10 10 10 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 7 7 7 7 7 7 7 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 nan
nan 7 7 7 7 7 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 7 7 8 9 9 8 8 9 9 9 9 9 8 8 9 10 10 11 11 11 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 12 13 12 11 11 10 10 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 11 11 10 10 9 9 9 10 10 10 nan
nan 7 7 7 8 8 8 9 9 9 8 8 8 7 7 6 6 7 7 7 8 8 9 10 11 11 11 11 11 11 11 10 9 8 8 9 10 11 11 11 11 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 10 10 10 11 12 12 12 12 11 10 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 10 9 10 10 11 11 11 10 10 9 8 8 9 9 9 nan
nan 8 8 8 8 9 9 9 9 9 8 8 8 7 7 7 8 9 10 10 11 11 11 12 12 12 12 12 12 11 10 9 7 7 8 9 11 12 12 11 10 10 9 9 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 11 12 12 12 12 12 11 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 11 11 11 10 10 9 8 8 8 8 9 nan
nan 10 10 10 10 10 10 10 10 10 9 9 8 8 9 10 11 12 13 13 13 12 11 11 11 10 10 10 10 9 8 7 7 7 8 9 11 11 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 12 12 13 13 12 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 9 9 9 8 8 nan
nan 12 12 12 12 12 12 11 11 11 11 11 11 11 12 13 13 13 13 13 12 11 10 10 9 9 9 9 9 8 7 7 8 8 9 9 8 8 8 8 9 10 9 9 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 11 12 12 13 12 12 11 9 8 6 6 5 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 10 10 11 11 11 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 11 11 10 10 10 8 5 nan
nan 11 12 12 12 12 12 12 12 12 12 12 13 13 14 13 13 12 11 10 10 10 10 9 9 9 9 9 8 7 7 7 8 9 9 9 8 7 8 9 9 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 11 12 12 12 11 10 9 8 8 7 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 8 9 10 10 11 12 12 13 13 12 12 11 10 10 10 10 9 9 9 10 10 10 11 11 11 12 12 12 11 11 11 10 6 -0 nan
nan 9 10 10 10 11 11 11 11 12 12 13 13 13 12 11 10 9 9 9 9 9 9 10 10 9 9 8 7 6 6 7 8 9 9 9 9 10 10 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 11 11 11 10 10 10 9 9 9 9 9 8 8 7 7 7 6 6 7 7 8 8 9 9 8 8 7 7 8 8 7 6 4 4 7 9 11 12 12 12 12 13 13 12 12 11 11 10 9 9 9 9 10 10 10 11 12 12 12 12 12 11 11 11 9 2 -3 nan
nan 9 9 9 9 9 10 11 11 11 12 12 11 10 9 9 8 8 8 8 9 9 9 9 9 9 8 7 6 6 7 7 8 9 10 10 10 11 11 11 10 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 8 8 9 9 9 9 8 9 9 10 11 11 10 9 8 8 9 9 10 11 11 11 11 10 9 8 6 6 6 7 7 8 8 9 9 8 7 7 6 6 6 6 4 1 1 4 8 12 13 13 12 12 12 12 13 13 12 11 10 9 9 9 10 10 10 11 11 12 13 12 12 11 10 9 10 8 3 -0 nan
nan 9 9 9 9 9 10 10 11 11 11 11 10 9 9 9 9 9 9 9 9 10 9 9 9 8 8 7 7 7 7 8 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 7 7 8 9 10 11 12 12 12 12 11 11 9 7 6 6 7 7 8 9 9 8 8 7 6 6 5 5 5 4 1 1 3 7 12 15 14 13 12 11 11 12 12 12 10 10 10 10 10 10 10 10 11 12 13 14 13 12 11 9 9 10 9 7 6 nan
nan 9 10 10 9 9 9 10 11 11 11 11 10 9 9 9 9 9 10 10 10 10 10 9 8 8 8 7 7 7 8 8 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 9 9 8 7 7 8 8 9 10 11 12 12 12 12 12 12 11 9 8 7 7 8 8 9 9 8 7 6 6 5 5 5 5 5 2 1 2 6 11 15 16 15 13 11 11 12 12 11 10 10 10 11 11 11 11 10 11 12 13 14 13 12 11 10 10 11 11 11 11 nan
nan 9 9 9 9 9 9 10 11 11 11 10 10 10 9 9 9 9 10 10 10 10 9 8 8 8 7 7 7 7 8 8 8 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 9 10 10 11 11 12 12 12 11 11 11 10 9 8 8 8 9 9 8 7 6 6 5 4 4 5 6 5 3 1 1 4 9 14 17 17 15 12 11 11 11 11 10 10 11 11 12 12 11 10 9 9 11 12 12 12 12 12 13 12 12 12 12 nan
nan 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 8 7 8 8 8 9 9 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 7 7 7 8 9 11 11 11 12 12 12 12 11 10 10 9 8 8 8 8 8 7 6 6 6 6 5 4 4 5 6 6 4 2 2 4 7 11 16 18 16 13 11 11 11 11 11 11 11 11 11 12 11 9 8 7 9 10 11 12 13 14 13 13 13 12 11 nan
nan 9 8 8 8 8 9 9 9 10 10 10 9 9 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 10 11 11 12 12 12 12 11 10 10 9 8 8 7 7 7 6 6 6 6 6 6 4 4 4 6 7 7 6 5 4 4 4 8 14 17 17 15 13 11 11 11 11 11 11 10 10 10 10 8 7 7 8 10 11 12 13 14 14 14 13 12 11 nan
nan 9 7 7 7 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 12 12 12 11 11 10 9 9 8 7 6 6 6 6 6 6 6 7 6 5 5 6 7 8 8 7 6 5 4 4 7 12 16 18 17 14 11 10 11 12 12 11 8 8 8 8 7 7 7 8 9 10 11 13 13 13 13 13 13 12 nan
nan 9 8 8 8 9 9 9 9 8 8 7 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 7 8 8 8 8 8 8 9 9 10 10 10 10 10 11 12 12 12 11 11 10 9 8 7 6 5 5 5 6 6 7 7 7 7 7 7 8 9 9 8 7 4 2 3 7 11 15 18 17 14 11 10 11 12 12 10 7 6 7 7 7 8 8 8 8 9 10 12 13 12 12 12 12 13 nan
nan 10 10 10 9 9 9 9 8 8 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 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 8 8 7 7 7 8 8 8 8 8 9 10 10 10 10 10 10 10 10 11 12 12 12 12 11 10 9 8 7 6 5 5 6 6 6 6 7 7 7 6 7 8 10 9 7 3 1 3 7 11 15 18 17 13 11 11 12 12 11 9 7 6 7 7 8 8 8 8 8 8 9 10 10 10 10 10 11 12 nan
nan 12 11 11 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 9 10 10 10 10 10 9 9 9 9 10 11 12 12 12 12 11 10 9 8 7 6 5 5 5 6 7 8 7 6 6 6 7 9 9 6 3 1 4 7 12 16 19 17 15 13 11 12 12 10 8 7 7 7 7 7 7 8 8 8 8 8 8 8 7 8 9 10 11 nan
nan 12 11 11 10 10 9 9 9 9 9 10 10 9 9 8 8 8 9 9 9 8 8 8 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 7 7 7 7 8 8 9 9 9 9 10 10 9 9 9 9 8 8 8 9 11 12 12 12 12 11 10 9 9 7 6 6 5 6 7 9 9 9 8 6 6 7 7 7 5 2 1 4 8 13 18 20 19 16 13 10 10 11 10 10 9 8 9 9 8 8 8 8 8 8 8 7 6 6 7 8 8 9 nan
nan 12 11 10 10 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 9 10 10 9 9 9 9 9 9 9 9 8 8 9 9 10 11 12 12 12 11 10 10 9 8 7 6 6 7 8 10 10 9 7 6 5 6 6 6 4 1 1 4 9 15 20 21 20 16 11 8 9 10 11 10 10 10 10 10 9 9 9 8 8 8 8 7 6 6 7 7 7 8 nan
nan 11 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 9 10 10 9 9 9 9 9 9 10 10 9 9 9 9 10 11 12 12 12 11 10 9 9 8 8 7 6 6 7 7 5 4 3 3 4 5 6 5 3 1 1 5 11 17 21 21 19 15 11 10 10 10 10 9 9 9 10 10 10 9 10 9 9 9 9 8 7 7 8 7 7 7 nan
nan 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 8 8 9 10 10 10 10 10 10 9 10 10 10 10 10 9 10 11 12 12 13 12 10 10 9 9 8 8 7 6 5 4 4 2 1 2 3 4 5 6 5 3 1 2 7 13 19 21 20 17 14 12 12 12 11 9 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 8 7 6 6 nan
nan 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 7 8 9 9 10 9 9 8 9 9 9 8 7 7 7 7 7 7 8 8 9 10 10 11 11 10 9 9 9 9 10 10 10 10 11 12 13 13 13 12 10 9 9 8 8 7 7 6 5 4 4 4 3 4 5 5 5 6 6 3 2 4 9 16 20 20 16 13 12 12 12 12 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 7 6 5 5 nan
nan 11 12 12 12 11 11 11 10 10 10 10 10 10 10 10 11 10 10 9 9 9 9 9 10 10 10 9 9 9 10 10 11 11 11 11 10 10 9 9 8 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 10 10 11 11 10 8 7 7 8 9 10 10 10 11 13 14 14 14 12 10 9 9 8 7 7 7 7 6 6 6 6 6 6 6 6 6 5 6 4 3 5 10 17 20 17 13 11 11 11 11 11 12 11 10 10 10 10 11 11 11 11 11 11 10 10 10 9 8 6 5 4 6 nan
nan 14 14 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 12 11 10 10 10 11 10 10 10 10 10 9 9 9 8 8 8 8 8 7 7 8 8 8 8 9 9 9 9 10 10 10 10 9 8 8 7 7 8 8 9 10 11 13 14 15 14 12 10 9 9 8 7 7 7 7 8 8 8 7 7 7 7 6 6 5 6 5 4 6 10 15 17 14 11 11 11 10 10 10 11 11 11 11 12 12 11 11 10 10 11 11 10 10 8 6 5 4 3 5 7 nan
nan 15 15 14 13 12 12 11 10 10 10 10 10 10 10 10 10 9 9 9 10 10 9 9 8 8 9 9 11 11 12 12 11 11 10 10 10 11 11 11 11 11 10 10 9 9 8 9 9 8 8 8 8 8 9 9 9 9 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 9 10 11 12 13 14 14 12 11 10 9 9 8 8 8 8 9 9 9 9 9 8 7 6 6 5 5 5 5 6 9 13 14 12 11 11 10 9 8 8 9 10 11 12 13 13 12 11 11 10 11 11 11 9 7 4 2 2 3 5 9 nan
nan 13 13 12 12 12 11 11 10 10 10 9 9 10 10 9 9 9 10 10 10 9 9 8 8 9 10 11 11 12 11 10 9 9 9 9 11 11 12 11 11 11 10 9 9 9 9 9 9 8 8 8 8 9 9 10 9 9 9 9 10 10 10 9 7 6 6 7 8 9 9 9 9 10 11 12 13 13 13 12 11 10 10 10 10 9 9 9 9 9 9 9 10 10 10 8 7 6 6 5 5 5 5 8 11 13 13 12 10 9 7 6 5 6 9 12 14 14 13 13 12 11 11 12 12 11 10 7 5 4 4 5 7 10 nan
nan 7 8 10 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 9 8 8 9 10 11 11 11 11 10 9 8 7 8 8 9 10 11 11 11 10 10 10 9 9 9 9 9 9 8 8 7 7 8 9 9 8 7 7 7 8 9 10 9 7 6 6 7 8 10 10 11 11 12 12 13 14 14 13 13 12 11 11 10 10 10 10 10 10 9 9 10 10 10 10 9 8 7 6 6 5 5 5 7 10 12 13 12 10 7 5 4 3 4 8 12 14 14 13 11 11 12 14 13 13 13 12 11 10 10 10 10 10 9 nan
nan 3 5 8 10 10 10 10 10 9 9 9 9 9 10 10 10 11 10 10 9 8 9 10 11 11 11 10 9 8 7 7 7 8 8 9 10 10 10 10 10 10 10 10 10 10 9 9 9 8 7 5 5 6 8 9 8 7 6 6 7 8 9 9 8 8 8 9 10 11 11 12 12 12 13 13 14 15 15 15 14 14 13 12 12 12 12 11 11 10 10 10 10 10 10 9 8 7 6 6 6 6 6 7 9 11 12 12 9 7 5 3 2 4 7 10 12 12 11 10 11 13 14 14 13 14 14 14 15 15 15 13 12 9 nan
nan 5 6 9 10 11 11 10 10 9 9 9 10 10 10 10 11 11 11 10 10 10 11 11 11 10 10 8 8 7 7 7 8 9 9 9 10 10 10 10 9 10 10 10 10 11 10 10 9 8 6 4 4 5 7 8 8 8 7 7 8 9 9 9 10 10 11 11 11 12 12 12 13 13 13 13 14 15 15 16 17 16 15 14 13 13 13 13 12 12 11 10 9 9 9 9 8 7 7 6 6 7 7 7 7 9 11 12 10 8 5 4 4 4 6 7 9 10 10 9 10 12 12 12 13 14 14 15 16 16 16 16 15 13 nan
nan 10 10 11 12 12 11 11 10 9 9 10 10 10 11 11 11 11 11 11 11 12 11 11 10 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 10 10 10 11 10 9 9 8 7 5 4 4 6 7 8 8 8 8 9 9 10 10 10 11 12 12 12 12 12 12 13 13 14 13 13 14 15 16 17 16 16 15 15 15 15 14 13 12 11 10 9 8 8 8 8 7 7 7 7 7 7 7 6 8 10 13 12 10 7 5 5 5 6 7 8 10 10 10 10 9 9 10 12 13 13 14 15 15 16 17 18 17 nan
nan 13 13 13 13 12 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 9 8 8 8 8 7 6 5 4 5 7 8 8 8 9 9 9 9 10 10 12 12 12 11 9 9 10 12 13 13 12 12 12 14 15 15 14 14 14 16 16 16 15 13 12 11 10 9 8 8 8 9 8 7 7 7 7 8 7 7 8 11 14 14 11 8 6 6 6 7 8 9 10 10 10 9 9 9 10 10 11 12 12 13 13 14 16 17 17 nan
nan 14 13 13 12 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 8 8 7 7 7 7 6 6 6 6 7 8 8 9 9 9 9 9 9 10 12 12 11 9 8 8 9 10 11 12 12 12 13 13 13 12 11 11 12 14 15 15 14 13 11 11 10 9 9 9 9 9 9 8 8 7 7 8 9 9 10 13 15 14 11 7 5 5 6 7 9 11 11 10 10 10 9 9 10 10 10 10 10 11 11 11 12 13 13 nan
nan 13 13 12 12 11 11 10 10 10 10 10 11 11 11 11 11 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 9 10 11 11 10 8 8 9 10 10 11 12 13 13 12 11 10 9 8 8 9 10 11 12 13 12 11 10 10 10 9 9 9 10 10 9 8 8 8 9 10 11 12 14 14 12 9 7 6 6 7 8 10 10 10 9 10 10 9 10 10 10 10 9 9 9 9 9 9 9 9 nan
nan 13 13 12 12 11 11 10 10 10 11 11 11 11 11 11 10 10 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 9 10 11 10 9 9 9 9 10 11 12 13 13 12 10 8 7 6 6 6 7 8 9 11 12 11 10 9 9 10 10 10 10 10 10 9 9 8 9 9 10 11 13 14 12 9 7 6 7 7 8 8 9 9 9 9 9 9 9 10 11 10 10 9 9 9 9 9 9 8 7 nan
nan 13 13 13 12 11 11 10 11 11 11 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 10 10 10 9 9 9 9 9 8 8 8 8 8 9 9 9 9 10 11 11 10 9 9 9 9 10 11 12 13 12 10 8 5 5 5 5 6 7 9 11 12 12 10 9 8 8 9 10 10 10 10 9 9 9 8 9 9 10 11 13 13 10 7 5 5 7 8 8 7 7 8 8 9 8 8 9 10 10 10 10 9 9 9 9 8 8 7 5 nan
nan 14 14 13 12 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 8 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 6 6 7 7 9 11 11 11 11 10 9 9 8 8 8 8 8 9 10 10 9 10 10 10 10 9 9 9 9 9 10 11 13 13 12 10 7 5 4 5 7 9 10 12 14 15 14 11 9 8 7 8 8 9 9 9 8 8 8 8 8 8 9 10 12 12 9 6 3 4 6 7 7 6 7 9 10 9 8 8 8 9 10 10 10 10 9 9 8 8 7 6 4 nan
nan 14 14 14 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 6 6 7 7 9 11 12 12 11 10 9 8 7 7 7 8 9 10 10 10 10 9 9 9 8 9 9 9 9 10 11 12 14 14 14 12 9 6 6 7 9 11 13 14 16 17 15 13 11 9 8 8 8 8 8 8 8 9 8 8 7 7 7 9 11 11 9 7 4 4 5 5 4 5 9 11 12 11 9 9 10 10 10 10 10 9 9 9 9 8 8 6 4 nan
nan 15 15 14 12 11 11 10 9 9 9 10 10 10 10 10 10 11 10 10 10 10 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 8 8 7 7 7 7 7 7 9 11 11 11 11 10 9 8 8 8 8 8 9 10 10 10 10 9 8 7 7 8 9 10 10 10 11 13 15 16 15 15 12 8 8 9 11 12 14 16 17 17 16 15 13 11 10 10 9 9 9 8 8 8 8 7 6 6 7 8 9 10 9 8 7 6 4 3 3 7 11 13 13 12 11 12 12 12 11 10 9 9 8 8 8 8 6 4 2 nan
nan 15 15 14 12 11 10 9 8 9 9 9 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 9 10 10 11 10 10 9 9 9 8 8 8 9 10 10 10 10 9 8 7 7 8 10 11 11 11 12 13 15 15 15 15 13 11 10 10 11 12 14 15 16 16 16 14 12 11 11 11 10 10 9 8 8 7 6 5 6 6 7 7 8 8 9 9 8 7 5 4 6 10 13 13 13 12 12 12 12 11 10 9 9 8 7 7 5 4 2 0 -0 nan
nan 16 15 14 12 10 9 9 8 8 9 10 10 10 11 11 12 12 12 12 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 10 11 11 11 10 8 7 8 8 10 11 11 11 12 13 14 14 13 13 13 12 11 11 11 11 12 13 14 14 13 12 12 12 11 11 10 9 8 7 6 5 5 5 6 6 7 7 8 8 8 8 8 7 7 8 10 12 13 13 12 11 11 10 10 9 9 8 7 6 5 3 2 1 0 0 2 nan
nan 16 15 14 12 11 10 9 9 9 9 10 10 11 12 12 13 13 12 12 12 11 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 11 11 11 11 11 12 11 11 10 10 10 9 9 9 10 10 11 12 12 10 9 8 8 9 10 11 11 12 12 12 12 12 12 12 12 12 12 11 10 10 10 11 11 11 10 10 11 11 11 9 9 9 8 7 6 5 5 6 7 7 8 8 9 10 9 8 7 8 9 10 11 12 12 13 13 12 11 10 9 8 7 5 4 2 1 0 1 2 4 7 9 nan
nan 15 15 14 13 11 10 9 9 9 9 9 10 11 12 13 13 13 13 12 11 11 10 9 9 9 9 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 10 11 11 12 12 12 12 12 11 11 10 10 10 10 10 10 11 11 12 11 10 9 8 8 9 10 10 11 11 12 12 12 12 12 12 12 12 12 11 10 10 10 10 10 9 9 10 11 11 10 9 8 8 8 8 7 6 7 9 9 10 10 11 12 11 10 8 8 9 10 12 11 11 11 13 15 14 13 11 8 5 3 1 -0 -1 0 2 5 9 12 15 16 nan
nan 14 14 14 13 12 10 9 9 8 8 8 9 11 12 12 12 12 12 11 10 10 9 9 10 10 11 11 11 10 9 9 8 8 8 9 9 9 9 9 9 9 10 10 11 12 13 13 12 12 12 11 11 10 11 11 11 11 10 10 11 10 10 9 9 9 9 10 10 10 10 10 11 12 12 12 12 12 11 11 11 10 10 10 10 9 9 10 10 10 10 9 9 9 9 9 8 8 9 10 11 11 12 13 14 14 12 10 9 10 11 13 13 12 11 12 14 14 13 12 10 6 3 1 -0 1 3 6 10 14 18 20 20 20 nan
nan 13 13 13 13 12 11 10 9 9 8 8 9 11 12 12 12 11 11 10 10 10 10 11 12 12 12 11 10 9 8 8 8 8 9 9 10 10 10 10 10 10 11 12 12 11 11 11 12 12 12 12 11 11 12 13 12 11 10 10 10 10 10 9 9 9 10 10 9 9 9 9 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 12 13 13 13 11 10 11 13 15 16 15 14 13 14 15 16 16 14 11 7 6 6 7 10 13 16 19 22 23 23 21 21 nan
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nan 9 9 8 8 7 7 7 7 8 8 8 9 9 10 11 11 11 11 11 11 12 13 14 15 14 14 14 14 14 12 11 10 10 10 10 10 11 12 12 13 13 14 15 17 18 18 16 13 10 8 7 8 9 10 9 9 9 10 13 16 20 21 20 18 17 15 14 15 16 17 18 18 17 16 15 14 13 13 12 11 11 10 10 10 10 11 11 9 7 5 3 2 1 1 1 2 3 5 6 7 7 8 8 9 10 10 9 8 7 7 8 10 12 12 10 7 7 11 17 22 23 18 13 10 9 9 10 10 10 10 10 10 10 nan
nan 9 9 8 8 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 11 12 14 14 14 14 13 13 13 12 10 9 9 9 9 10 10 10 11 11 12 12 13 14 15 16 16 15 13 10 9 8 8 8 9 9 8 7 6 6 8 11 15 17 19 18 16 14 13 13 13 13 13 12 11 11 11 12 12 12 12 11 11 10 10 10 11 11 10 8 7 5 3 3 3 4 5 6 7 7 7 7 8 8 9 10 10 11 11 11 11 13 14 15 15 14 12 13 17 21 23 20 14 11 9 9 10 10 10 10 10 10 10 10 nan
nan 9 9 8 8 8 7 7 7 7 7 8 8 8 9 9 9 10 10 10 11 12 13 14 13 12 12 12 12 10 9 8 8 9 10 10 11 11 11 11 11 11 11 12 13 15 16 15 13 11 9 9 8 8 9 9 8 7 5 4 3 3 6 10 13 15 14 13 12 11 10 9 8 6 6 7 8 9 10 10 11 11 11 10 9 9 10 11 11 11 11 11 10 9 9 8 8 8 7 7 7 8 8 9 9 10 10 10 11 11 12 13 14 15 15 15 14 16 18 20 19 15 12 9 9 9 10 10 10 10 10 10 10 10 nan
nan 9 9 9 8 8 8 8 7 7 7 7 7 8 8 9 9 10 10 10 10 11 12 13 12 11 11 11 10 10 9 8 9 9 10 11 11 11 11 11 10 10 11 11 13 14 16 16 14 12 10 9 8 8 7 7 7 7 6 5 2 1 2 4 7 10 11 11 11 10 9 7 5 4 4 5 6 7 7 8 8 9 9 8 8 8 9 9 10 12 13 13 13 13 11 10 8 8 7 7 8 8 9 9 9 10 10 10 11 11 12 13 14 15 15 14 14 16 18 19 17 14 11 9 9 9 10 10 11 10 10 10 10 10 nan
nan 10 9 9 9 8 8 7 7 7 7 7 7 7 8 8 9 9 10 10 9 9 10 11 11 11 11 10 10 9 8 8 9 9 10 11 11 11 12 12 11 11 11 11 12 14 15 15 15 13 11 10 8 7 7 6 5 5 5 5 3 2 1 2 4 6 8 9 9 9 7 6 4 4 4 5 6 6 6 6 7 7 7 7 7 7 7 6 6 7 8 8 9 9 9 8 7 7 8 8 8 9 9 9 9 10 10 10 10 11 12 14 15 15 15 14 15 17 19 20 17 14 12 10 10 10 10 10 11 11 11 10 10 10 nan
nan 10 10 9 9 8 8 7 8 8 8 7 7 7 7 7 8 8 9 9 8 8 9 9 10 10 10 10 9 8 7 7 7 8 9 10 11 12 12 12 12 12 12 12 13 14 14 14 14 13 12 11 9 8 7 6 6 5 5 4 4 4 3 3 3 4 5 6 7 8 7 5 5 4 4 5 6 6 6 6 6 6 7 7 8 8 7 5 2 1 0 0 1 3 4 6 7 8 9 9 9 9 9 9 9 9 10 10 10 11 13 16 17 16 16 15 16 18 20 19 16 14 12 11 10 10 10 10 11 11 11 10 10 10 nan
nan 11 10 10 9 8 8 8 8 8 8 8 7 6 6 6 7 7 8 7 7 8 8 8 9 9 9 9 8 6 5 5 6 8 9 10 11 11 12 12 12 12 13 13 13 13 13 13 13 13 12 11 10 9 8 8 8 7 7 7 7 7 6 5 4 4 5 5 6 8 8 7 7 6 6 6 7 7 7 7 7 7 7 8 8 9 9 7 4 1 -1 -1 0 3 5 7 8 9 9 9 9 9 9 9 9 9 10 10 11 13 16 19 19 18 15 15 17 18 18 16 14 12 11 11 11 10 10 11 11 11 11 11 10 10 nan
nan 11 11 10 10 9 9 9 9 9 9 8 7 6 6 6 6 7 7 7 7 8 8 8 9 9 9 8 7 6 5 5 6 7 8 10 11 11 11 11 11 12 12 12 12 12 11 11 12 12 12 11 11 10 9 9 9 9 10 10 11 10 9 9 8 7 6 7 8 9 10 10 10 9 9 9 9 8 8 7 8 8 9 9 10 11 10 10 8 7 5 5 6 7 9 10 10 10 9 9 9 9 9 9 9 10 10 10 11 15 19 21 20 17 14 14 16 16 15 13 11 11 11 11 10 10 10 10 10 10 11 11 10 10 nan
nan 11 11 11 10 10 10 9 9 9 8 7 7 7 6 6 7 7 8 8 9 9 10 10 10 9 9 8 7 7 7 6 6 7 7 9 10 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 10 10 10 10 10 10 11 11 12 12 11 11 10 8 8 8 9 10 11 12 12 13 13 13 12 11 10 9 10 11 12 14 14 14 13 12 11 11 10 10 10 11 11 11 11 10 10 9 9 9 9 10 10 10 10 11 13 17 20 21 19 15 13 14 14 14 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 nan
nan 11 11 11 10 10 9 9 9 8 7 7 7 7 7 8 9 9 10 11 11 12 11 11 11 10 10 8 8 8 8 7 6 6 6 8 9 10 10 10 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 9 8 8 9 10 10 11 12 13 15 16 17 16 14 13 13 13 14 15 15 15 14 13 12 11 10 10 11 11 12 12 11 11 10 9 9 9 9 10 10 10 10 13 16 20 22 21 18 15 14 14 13 12 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 nan
nan 12 11 10 10 9 9 8 8 8 7 7 7 8 8 9 10 11 12 13 13 12 12 12 11 11 10 10 10 10 9 7 6 5 6 7 9 10 11 11 11 11 11 10 10 9 8 8 8 8 9 9 10 11 11 11 11 11 11 11 11 12 12 13 11 10 9 8 8 9 9 9 10 11 13 15 17 19 18 17 15 12 10 9 10 11 11 10 9 8 8 8 9 10 11 11 11 11 10 10 9 9 9 9 10 10 12 16 20 22 22 20 17 15 14 13 12 11 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 nan
nan 11 11 10 9 9 9 9 8 8 8 8 8 8 9 10 12 13 14 14 13 12 11 11 11 11 11 12 12 12 11 9 7 7 7 8 10 10 11 12 12 12 11 10 9 7 7 7 7 8 9 10 11 11 11 12 12 12 12 12 12 13 14 14 13 11 10 10 10 10 10 10 10 10 11 12 14 16 17 16 15 12 8 6 5 5 5 5 5 5 6 7 8 9 10 11 11 11 11 10 10 9 9 9 10 12 16 19 22 22 19 16 13 12 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 nan
nan 11 10 9 9 8 9 9 9 9 9 9 9 10 11 12 13 14 15 14 12 11 10 10 10 11 12 13 13 13 12 11 9 9 10 10 11 11 11 12 12 12 11 10 8 7 6 7 8 9 10 11 11 12 12 12 12 12 12 13 14 15 15 15 13 11 11 11 12 12 11 11 11 10 10 11 11 12 13 14 14 13 11 10 9 7 7 6 6 7 7 8 9 10 11 12 12 12 11 11 10 9 9 9 11 14 18 21 22 19 15 12 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 nan
nan 11 10 9 8 8 9 9 9 10 10 11 11 11 12 14 15 15 15 14 12 11 11 11 11 12 13 14 14 13 13 12 11 11 11 11 11 11 12 12 12 12 11 10 8 7 7 7 8 10 11 11 11 11 11 11 11 12 13 14 15 16 16 14 13 12 12 12 13 12 12 11 11 10 10 10 10 10 11 11 12 13 14 14 15 15 14 12 11 10 10 11 11 12 13 14 14 13 12 11 10 9 9 10 12 16 19 20 18 15 12 11 10 10 10 10 10 10 10 11 11 11 10 10 10 11 11 11 11 10 10 10 10 10 nan
nan 11 10 9 8 8 8 8 9 10 11 12 12 13 13 14 15 15 15 14 13 13 13 13 13 13 13 13 13 12 12 11 11 10 10 10 11 11 12 12 13 13 12 10 8 7 7 8 9 11 11 11 11 11 11 12 12 13 14 15 16 16 15 14 12 12 12 12 12 12 11 11 11 10 10 10 10 11 11 10 10 12 13 15 17 17 16 15 14 13 14 14 15 15 16 17 16 14 12 11 9 9 9 10 13 16 17 17 14 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 10 9 8 8 7 8 8 9 10 11 12 12 12 13 14 15 15 15 15 15 16 16 15 14 13 12 11 11 10 10 10 9 9 9 10 10 11 11 12 13 13 12 10 9 8 8 9 10 11 11 11 11 12 12 13 14 14 15 16 16 15 14 13 13 12 12 12 12 11 11 11 11 10 10 10 10 11 11 10 10 10 12 14 15 15 15 14 15 16 16 17 17 18 19 19 17 14 12 9 9 9 10 12 15 16 16 15 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 9 8 7 7 7 8 8 9 10 11 11 11 12 12 13 14 15 15 16 17 17 17 16 15 13 12 11 10 9 9 8 8 8 9 9 9 10 10 11 12 13 12 11 9 9 9 10 11 11 11 12 12 13 13 14 14 15 15 15 15 14 13 13 13 13 13 13 12 12 12 11 11 10 10 10 10 10 10 10 10 10 11 12 13 13 13 14 14 16 16 17 17 18 18 17 14 11 9 8 9 11 13 15 16 16 15 13 12 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 nan
nan 8 7 6 6 7 8 9 10 11 11 12 12 12 13 14 15 15 16 16 16 16 16 15 14 14 13 11 10 9 8 8 8 7 7 7 8 8 9 11 12 12 12 11 11 10 11 11 12 12 12 13 13 14 14 14 15 15 14 14 13 13 12 12 13 13 13 14 13 13 13 13 12 12 12 12 11 11 10 10 10 10 10 11 11 11 12 12 13 13 14 14 15 16 14 12 9 7 6 7 10 12 14 15 16 15 14 12 11 11 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 nan
nan 7 6 6 6 7 8 10 11 12 13 13 13 13 13 14 15 15 15 15 14 12 12 12 13 13 13 12 10 9 8 7 7 6 6 6 6 7 8 10 11 12 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 13 13 12 12 12 11 12 12 12 13 13 14 14 14 14 14 14 14 14 13 12 11 11 10 10 10 10 10 10 10 11 11 12 12 13 14 13 12 9 7 6 6 8 10 11 12 13 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 nan
nan 7 6 6 7 8 9 11 13 14 14 14 14 14 14 14 14 15 14 13 11 9 8 9 10 11 11 10 9 8 7 6 5 5 5 5 6 7 8 10 11 12 13 14 15 15 15 14 14 14 14 14 14 14 13 13 13 12 11 11 11 11 11 12 12 12 12 12 12 13 13 14 14 14 14 14 14 13 12 10 10 10 10 10 10 10 9 10 10 11 12 13 14 13 12 10 8 7 7 8 9 10 11 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 nan
nan 7 7 7 8 10 12 14 15 16 16 15 14 14 13 14 14 14 13 11 8 8 7 8 9 9 9 9 9 8 6 5 4 4 5 6 7 8 9 10 11 11 12 14 15 15 15 14 14 14 13 13 13 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 13 12 12 11 10 10 10 10 10 10 10 9 9 10 11 12 13 14 14 13 12 10 9 8 8 8 9 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 nan
nan 7 8 8 10 12 14 16 17 17 17 16 14 14 13 14 14 14 12 10 8 8 8 8 9 9 9 9 9 8 6 4 4 5 7 9 10 10 11 11 11 12 13 13 14 14 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 10 10 11 12 13 13 13 14 13 11 10 9 8 8 8 9 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 nan
nan 7 8 9 11 14 16 17 18 18 17 15 14 13 13 14 14 14 12 11 10 9 9 9 9 9 9 9 9 9 8 6 6 7 8 10 11 12 12 12 13 13 13 13 13 12 12 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 10 10 10 10 11 12 13 12 12 12 12 13 13 12 11 9 8 8 8 9 9 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 nan
nan 8 9 11 13 15 16 17 18 17 16 14 13 13 13 13 14 14 13 12 11 10 10 9 9 9 9 9 10 10 9 8 7 7 7 8 10 12 13 15 15 14 14 13 12 11 11 11 11 11 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 12 12 12 12 12 11 10 9 9 11 13 14 14 12 11 10 10 12 12 12 12 10 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 nan
nan 8 10 11 13 15 16 17 17 16 14 13 12 11 11 12 13 14 13 13 12 11 11 10 10 10 10 10 11 11 10 9 8 8 8 9 11 13 15 16 15 14 13 11 11 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 10 10 10 9 9 10 10 10 10 11 12 12 12 13 13 12 11 10 10 10 12 14 15 14 12 9 9 10 11 12 13 12 10 8 8 8 8 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 nan
nan 8 10 11 13 15 16 16 16 14 12 10 9 9 10 11 13 13 13 13 13 12 12 12 11 11 11 11 11 11 10 10 10 11 11 12 13 15 15 16 14 13 11 11 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 10 10 9 9 9 10 10 10 11 11 12 12 12 12 12 12 11 11 11 12 14 15 14 13 11 9 9 10 12 13 14 12 10 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 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
CAPE
0 0 0 0 1 1 2 2 2 2 2 2 3 3 3 4 6 7 9 9 9 8 7 5 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 13 22 28 31
0 0 0 0 0 1 1 1 2 2 2 2 2 2 2 2 3 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 13 20 26 29
0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 9 17 23 27
0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 1 1 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 8 13 18 21
0 0 0 0 0 0 1 1 1 2 2 4 4 4 4 4 3 1 1 1 2 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 7 11 14
0 0 0 0 1 2 3 3 3 5 9 12 11 11 12 9 7 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 6
2 1 1 2 3 5 5 4 4 5 9 13 11 11 12 10 7 6 3 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 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 1 2 3 3 3
4 3 3 4 3 5 5 6 6 7 6 6 5 4 4 5 4 4 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 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 3 4
5 3 3 3 4 5 6 6 6 5 4 4 3 3 2 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 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 1 1 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 1 3 2 6 15
5 4 3 3 4 5 5 3 3 3 2 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 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 1 1 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 1 3 3 4 14 29
6 4 3 3 3 3 2 2 2 3 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 1 1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 5 13 27
6 4 3 2 2 2 1 1 1 1 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 0 1 0 1 2 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 1 1 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 4 2 2 5 9
7 5 3 2 2 1 0 0 0 0 1 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 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 1 0 1 1 2 1 0 0 0 1 2 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 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 7 6 4 1 1 0 1
9 6 4 2 1 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 1 0 0 1 1 2 3 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 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 3 5 5 6 8 8 5 3 2 2 1 2
12 10 6 3 1 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 1 1 0 0 1 1 1 1 0 0 1 3 4 4 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 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 2 3 5 6 7 5 4 3 3 2 3 4
17 13 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 2 2 1 2 5 8 6 4 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 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 2 3 2 2 2 2 3 4 5
16 14 9 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 0 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 1 1 0 1 2 3 3 3 3 6 11 10 8 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 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 3 5 7
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1 0 0 0 0 0 1 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 1 1 3 5 3 3 4 5 6 7 8 9 9 5 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 0 0 0 0 0 0 0
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0 1 0 0 0 2 4 4 4 3 2 1 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 1 1 2 1 1 1 1 1 1 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 9 24 33 29 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 1 0 0 2 5 8 9 9 7 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 1 0 0 0 0 0 0 0 1 2 2 3 3 3 4 4 3 2 2 1 0 0 0 0 0 1 0 1 2 2 2 1 0 0 0 0 0 0 0 0 4 18 30 30 21 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 0 0 0 0 0 0 0 0 0 0
1 1 1 1 5 9 10 9 7 4 2 1 0 0 0 1 1 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 10 10 9 7 3 3 4 6 6 6 5 4 3 4 5 4 3 3 1 0 0 0 0 0 0 0 1 2 4 6 4 1 0 0 0 0 0 0 0 1 6 13 21 25 21 13 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1 3 5 7 7 6 4 2 0 0 1 1 2 2 2 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 16 26 26 24 22 20 19 18 17 15 15 12 9 6 4 3 6 4 2 3 2 1 0 0 0 0 0 0 0 2 5 7 5 2 1 0 0 0 0 0 0 1 3 8 18 26 25 18 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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0 1 2 3 4 4 4 3 3 2 2 2 2 2 2 2 2 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 3 4 5 6 5 8 9 10 11 10 8 13 18 19 17 14 9 5 3 4 4 4 4 5 6 4 2 0 0 0 0 0 0 0 0 2 4 5 5 4 5 5 5 6 7 10 12 13 15 20 25 29 28 11 5 2 2 4 6 4 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 2 4 3 2 1 1 2 2 3 4 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 2 3 4 4 3 1 0 0 0 1 2 5 9 15 18 16 14 12 7 4 4 3 3 5 8 12 12 10 8 6 4 2 1 1 2 2 3 5 7 8 10 13 14 14 14 15 15 18 20 19 18 20 26 32 37 28 21 16 14 18 23 20 14 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 0 0 0 0 0 0 0 0 0 0
1 2 3 4 4 3 1 0 1 3 5 6 7 2 1 1 0 1 1 1 1 1 1 0 0 0 0 1 2 4 6 6 4 2 1 1 0 0 0 0 0 1 3 8 12 13 11 9 7 5 4 4 5 9 15 21 20 19 18 16 14 11 7 6 7 8 10 10 11 12 16 19 21 20 19 20 21 24 26 25 25 25 32 41 45 44 41 38 38 41 43 38 27 14 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3 4 5 5 3 2 1 0 1 2 4 4 4 2 1 1 0 0 1 1 1 1 0 0 0 0 2 4 5 5 4 3 2 1 0 0 0 0 0 0 0 0 0 3 7 9 8 6 5 4 2 1 3 10 20 25 26 21 15 12 16 16 14 14 16 18 21 22 24 28 30 31 31 29 26 29 30 30 30 32 33 40 46 48 49 50 51 52 56 62 61 52 37 17 4 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0
6 6 6 6 3 1 1 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 3 7 13 17 10 6 3 1 0 2 13 26 27 25 20 13 8 11 17 21 25 28 32 33 36 40 46 47 44 41 37 33 36 38 39 41 45 45 48 49 47 47 49 55 63 70 75 71 59 40 17 6 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0
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