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 7 7 8 8 9 9 9 9 10 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 10 10 9 9 9 9 9 10 9 9 9 9 8 8 9 8 8 8 8 9 9 10 10 10 10 10 11 11 11 11 12 11 11 11 11 11 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 11 12 12 12 11 10 10 11 10 10 10 10 10 10 10 9 8 7 8 9 10 10 10 9 8 7 7 9 10 11 11 11 10 9 8 8 8 7 5 5 5 5 5 5 5 5 6 8 9 10 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 8 9 9 9 9 9 10 nan
nan 8 8 9 9 9 9 9 10 9 9 9 10 10 10 9 9 9 9 9 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 11 12 12 12 11 10 10 10 10 10 10 9 8 7 8 10 11 10 9 8 8 8 8 10 11 11 11 11 9 8 7 8 8 7 7 6 6 6 6 5 5 5 6 8 10 9 9 8 7 7 7 7 7 7 8 8 8 8 8 7 8 9 10 9 9 9 9 9 9 9 10 10 nan
nan 7 8 8 9 8 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 10 9 9 10 10 10 9 9 9 8 8 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 11 10 10 10 11 11 10 10 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 10 11 12 12 11 10 10 9 10 10 10 10 9 9 9 9 10 10 9 8 7 7 8 9 9 9 10 11 10 8 7 7 9 9 9 8 7 7 7 7 7 6 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 8 8 8 8 8 8 9 8 8 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 7 7 7 8 8 9 9 10 10 11 11 11 11 11 10 10 11 11 12 12 12 12 12 13 13 14 14 13 12 11 11 10 9 9 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 10 12 12 11 10 9 9 10 10 10 9 9 9 9 10 10 10 9 8 6 6 7 8 8 8 8 9 10 10 8 8 8 10 11 10 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 nan
nan 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 11 11 11 11 12 12 12 11 11 10 10 10 10 11 11 12 13 14 14 13 13 12 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 9 10 11 12 10 9 8 9 10 10 11 9 7 7 8 9 10 10 9 8 6 7 8 9 9 8 8 9 10 10 9 8 9 11 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 11 12 12 11 11 11 11 11 11 10 10 10 nan
nan 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 11 11 11 11 11 12 12 11 11 11 11 11 11 10 10 9 9 10 11 12 13 14 13 12 11 9 9 8 7 7 7 8 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 10 9 10 9 9 9 9 9 10 11 11 10 9 9 9 9 10 10 9 7 6 7 8 10 11 10 8 7 9 10 11 10 9 9 8 9 9 9 9 10 10 10 10 9 9 10 10 10 11 11 11 10 10 10 11 11 10 9 9 10 11 11 10 10 10 10 9 10 10 11 11 11 10 11 11 11 11 11 11 10 10 nan
nan 8 8 7 8 8 8 9 9 9 9 9 10 10 10 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 13 13 13 13 12 12 12 12 12 12 12 11 10 10 10 11 11 11 11 12 13 14 15 14 13 11 9 8 7 7 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 8 7 8 8 9 10 10 9 8 8 10 10 10 9 8 7 7 7 8 9 10 10 9 9 8 8 9 9 9 10 10 10 10 10 10 11 11 11 10 9 9 11 11 11 10 11 10 10 9 9 10 10 10 10 10 11 11 11 11 11 11 11 9 nan
nan 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 12 11 11 11 10 9 10 10 11 12 13 14 14 15 15 14 13 11 9 7 6 6 6 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 10 10 9 9 9 9 10 10 11 11 11 10 9 8 8 9 9 9 9 9 9 9 9 8 8 9 10 9 8 7 7 7 7 8 9 10 10 10 9 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 11 11 10 10 10 10 10 10 9 9 10 10 11 11 11 11 10 9 nan
nan 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 9 8 9 9 10 11 11 12 13 14 14 14 14 12 10 9 7 6 6 6 7 7 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 10 10 10 9 8 9 10 10 11 11 11 10 9 8 7 8 9 10 10 10 10 9 9 9 9 10 11 10 9 8 7 8 8 9 9 9 10 10 9 9 8 9 10 10 10 10 10 10 9 9 9 9 10 9 9 9 10 10 10 9 10 10 10 10 10 10 10 10 11 10 10 9 10 10 10 10 10 9 8 9 nan
nan 10 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 9 9 8 9 9 10 10 11 12 13 13 13 13 12 10 9 7 6 6 6 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 9 9 9 8 8 8 9 10 10 10 10 10 10 9 8 9 10 10 10 10 10 10 9 9 8 8 9 10 10 10 11 10 10 10 10 10 10 10 9 8 7 7 8 9 9 9 9 9 10 10 10 9 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 8 8 9 10 11 11 11 11 10 10 11 10 9 8 7 7 8 9 nan
nan 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 11 12 12 12 12 10 9 7 7 6 6 6 7 7 8 8 8 8 8 8 9 9 9 8 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 10 10 11 11 10 10 9 9 9 10 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 9 9 8 8 7 7 7 8 9 10 10 10 9 9 9 9 10 10 11 11 11 10 9 9 9 9 9 9 9 9 9 9 10 11 10 9 9 8 8 8 8 9 10 10 10 10 10 11 10 10 9 7 6 6 7 9 10 nan
nan 10 10 10 10 10 11 12 12 12 12 11 11 10 10 10 11 11 11 10 10 10 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 9 8 8 8 9 9 9 9 10 10 11 12 12 12 11 10 8 7 7 6 6 7 7 8 8 9 9 8 8 8 9 8 8 8 8 8 8 9 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 9 9 10 9 9 10 11 11 10 10 10 10 10 10 11 12 12 11 11 11 11 11 11 11 10 10 10 9 9 8 8 8 9 9 9 8 8 7 7 8 9 10 10 10 10 9 8 7 7 8 9 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 10 11 10 9 8 7 7 8 9 9 10 10 9 9 10 9 9 9 7 6 6 7 8 10 11 nan
nan 10 10 10 10 11 11 12 12 12 11 11 10 10 10 11 11 11 11 10 9 9 8 8 7 7 7 6 6 6 6 7 7 7 7 6 6 6 7 7 7 7 7 8 8 9 10 10 11 11 12 13 13 12 10 9 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 10 11 10 10 10 10 10 11 11 12 12 12 12 12 12 12 11 11 10 9 9 9 9 8 8 8 9 9 10 10 9 9 9 9 10 10 11 10 10 9 7 6 6 7 9 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 10 10 10 9 7 6 7 9 10 10 10 10 9 9 8 8 8 8 8 8 9 9 10 11 11 nan
nan 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 8 8 7 6 6 6 6 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 8 8 9 10 11 12 12 13 13 13 12 10 8 8 7 7 8 8 8 8 7 7 7 7 7 6 7 7 7 7 8 8 8 8 8 8 8 9 9 8 8 8 9 9 9 8 8 9 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 8 8 9 10 10 10 10 10 9 9 9 10 10 10 9 9 8 8 8 10 11 11 11 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 9 9 9 8 7 7 8 10 10 10 10 9 9 8 7 8 8 8 9 10 11 11 11 11 10 nan
nan 11 11 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 6 7 7 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 10 11 12 13 13 13 12 11 10 9 8 8 8 8 8 7 7 7 6 6 6 6 6 5 6 7 7 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 8 9 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 10 10 9 10 10 10 10 9 8 9 9 9 9 8 9 9 9 9 10 9 9 8 8 9 9 10 9 9 8 8 8 10 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 9 9 8 8 8 9 10 10 9 9 8 8 8 8 8 9 9 10 11 12 12 12 12 11 nan
nan 10 10 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 9 9 10 11 12 13 13 13 13 12 11 9 9 8 8 7 7 7 6 6 6 6 6 6 6 6 5 6 7 8 8 8 7 8 8 9 9 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 9 10 10 10 10 10 10 9 9 8 8 7 7 6 6 6 7 9 11 10 9 8 8 9 9 9 9 9 9 9 9 9 8 7 7 8 9 10 9 9 8 7 7 8 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 8 9 9 9 9 9 8 8 9 9 10 10 11 11 12 13 13 13 13 13 12 nan
nan 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 7 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 8 9 9 9 10 10 11 12 13 14 14 14 13 10 9 8 7 6 6 6 6 6 7 7 6 6 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 9 8 7 5 4 3 2 2 5 8 12 14 12 10 8 7 7 7 8 8 9 10 10 10 9 7 7 7 9 10 10 9 8 6 6 7 8 9 9 9 9 9 9 10 10 10 10 10 10 11 11 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 9 10 10 12 12 13 13 14 14 14 13 13 13 13 13 nan
nan 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 9 9 9 8 8 9 9 10 11 11 12 14 14 15 15 15 13 11 9 7 6 5 5 5 5 6 7 7 6 6 6 7 8 8 9 10 11 11 10 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 7 4 1 -0 0 2 5 9 14 18 18 15 11 7 5 4 5 5 6 8 9 10 10 9 8 8 8 9 10 9 8 7 6 7 9 10 10 10 9 9 9 9 10 10 10 10 10 11 11 11 11 10 10 10 9 8 8 8 8 8 8 8 8 8 8 9 10 12 13 14 14 14 15 15 14 13 12 12 12 12 12 nan
nan 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 10 11 12 13 14 15 15 15 15 16 14 12 10 8 6 5 4 5 5 6 6 7 7 6 7 7 8 8 9 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 9 9 9 8 8 8 7 4 0 -1 0 4 8 11 14 19 21 20 17 12 8 5 3 3 3 3 5 6 7 8 8 8 8 9 9 8 6 5 5 6 8 9 10 10 10 9 9 9 10 10 10 10 10 10 11 11 11 11 10 10 9 9 8 7 7 6 6 7 8 9 9 10 10 12 14 14 14 14 13 13 13 12 12 11 10 10 10 11 nan
nan 8 8 8 8 7 7 8 8 9 9 10 10 10 9 9 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 13 14 15 15 14 14 14 15 14 13 11 9 6 5 5 5 5 5 6 7 8 8 8 7 7 7 7 8 8 8 9 10 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 8 8 8 8 7 4 2 2 5 10 13 15 17 20 22 22 19 14 10 7 5 4 3 3 4 4 5 5 5 6 7 7 7 5 3 3 5 6 8 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 10 9 9 8 8 8 7 7 6 6 7 8 9 10 10 10 12 13 14 13 12 11 11 10 10 10 9 9 9 10 10 11 nan
nan 9 8 8 8 8 8 8 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 9 9 9 10 10 11 11 12 12 13 13 13 12 12 12 13 13 12 11 9 7 6 5 5 4 4 6 7 8 8 8 7 7 7 7 6 6 6 7 9 12 14 14 12 10 9 9 9 9 9 9 9 9 9 10 9 9 9 10 10 9 8 8 8 9 9 9 9 8 7 8 10 13 15 16 17 19 21 21 18 14 11 8 7 6 5 5 6 6 6 5 4 3 3 3 3 2 2 4 6 7 8 7 7 7 8 8 9 10 10 10 10 10 10 10 10 10 9 7 6 6 6 7 7 7 8 9 10 11 11 11 10 10 12 12 12 10 9 8 8 8 8 9 9 9 9 9 10 11 nan
nan 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 11 11 11 10 9 8 7 7 6 5 6 6 7 7 7 7 7 7 7 7 6 6 5 5 7 10 14 16 14 12 10 9 9 9 9 9 9 9 10 10 9 9 9 10 9 8 8 8 9 10 11 11 11 10 10 10 11 13 14 15 15 15 15 14 12 11 9 9 9 8 9 9 10 10 9 8 6 4 3 2 1 1 2 5 7 8 7 6 6 6 6 7 8 9 9 10 10 10 10 10 10 8 7 7 6 7 7 7 8 9 10 12 13 13 12 11 10 11 11 10 9 8 7 7 7 8 9 9 9 9 9 9 9 10 nan
nan 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 9 13 16 16 14 12 10 10 9 9 9 9 10 10 10 9 8 9 9 9 8 8 9 10 11 11 11 10 10 10 9 10 11 12 11 10 9 8 7 8 8 9 10 11 12 13 13 13 12 11 10 8 7 6 5 5 4 4 5 5 6 6 5 5 6 6 6 6 7 8 9 10 10 10 9 9 8 8 8 9 10 10 9 10 11 12 12 12 12 11 11 12 12 10 9 8 7 7 7 8 9 9 9 9 8 8 8 8 9 nan
nan 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 9 10 10 10 11 11 10 10 10 9 8 7 6 6 6 6 7 7 7 7 7 7 7 6 6 8 12 15 17 16 13 12 11 10 9 9 9 10 10 10 9 8 9 9 9 9 9 10 11 11 10 9 8 8 7 7 9 10 10 9 7 7 7 8 9 10 11 12 13 14 15 15 13 12 10 9 8 7 8 9 9 9 8 7 6 5 4 4 4 5 6 6 6 7 7 8 9 9 9 9 8 8 9 10 10 10 10 10 10 11 11 11 10 10 11 11 12 11 9 8 7 7 7 7 8 8 9 8 8 7 7 7 8 9 nan
nan 10 10 10 10 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 10 9 8 8 8 8 7 7 6 6 7 7 7 7 6 6 6 6 5 6 8 11 14 16 16 15 14 12 11 9 9 10 10 10 9 8 8 8 9 9 9 10 10 10 9 8 7 7 7 6 7 8 9 9 8 8 10 11 12 13 12 12 12 12 12 12 12 10 9 8 7 7 8 9 11 12 13 13 13 12 10 8 6 3 3 4 6 7 7 7 7 7 7 7 8 8 8 8 8 8 7 8 9 9 9 9 9 9 9 9 10 9 9 8 7 7 7 8 8 8 9 9 10 9 8 8 8 8 9 nan
nan 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 9 9 9 10 10 11 11 10 9 8 8 8 8 8 9 9 9 9 9 10 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 10 9 8 7 7 7 7 7 7 7 7 7 7 7 6 5 5 5 5 4 5 8 10 12 15 16 17 16 13 11 9 9 10 10 10 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 11 13 15 16 15 14 13 12 11 9 7 7 7 7 7 9 10 11 13 15 17 18 19 19 18 16 13 9 5 3 3 4 5 7 8 7 6 6 6 7 7 7 7 7 6 7 8 9 10 10 9 9 9 8 8 7 7 6 7 7 9 10 10 10 10 11 11 12 11 10 10 9 9 8 nan
nan 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 8 8 8 9 9 10 11 11 11 11 10 9 8 8 8 9 9 9 9 9 9 9 10 11 11 11 10 10 10 10 10 10 9 10 10 11 11 10 9 8 8 7 7 7 7 7 7 7 7 7 6 5 4 4 4 4 4 6 8 10 12 14 17 17 16 13 10 9 9 9 10 10 8 8 8 9 9 9 9 9 9 10 9 9 9 9 9 10 10 10 10 11 12 14 15 16 16 14 13 13 11 10 8 6 6 6 7 10 12 14 16 18 20 22 22 21 19 18 17 16 13 9 6 4 3 3 5 7 8 8 8 7 8 8 8 9 9 9 10 11 12 12 11 11 10 10 9 8 7 6 6 8 10 11 12 12 11 11 11 11 11 11 10 10 9 8 7 nan
nan 10 10 10 9 9 9 9 9 9 10 10 11 10 10 10 9 9 8 8 9 9 9 10 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 11 10 9 8 7 7 7 7 6 6 7 6 5 4 4 4 4 3 4 6 9 11 12 15 17 17 14 12 10 9 9 9 9 9 8 8 9 9 9 9 10 10 10 10 9 10 10 10 10 10 10 11 11 12 13 14 15 15 14 13 12 11 10 9 8 8 8 7 8 10 12 14 17 19 21 20 20 18 18 18 18 17 16 15 12 10 7 5 5 7 9 10 10 10 10 10 11 11 11 11 11 11 12 12 11 11 11 11 10 9 8 8 9 11 12 12 11 10 10 10 10 10 10 9 9 9 8 8 7 nan
nan 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 12 12 11 11 9 7 7 6 6 6 6 7 6 5 4 3 3 3 3 4 7 9 11 13 17 19 18 16 13 11 10 11 10 10 9 8 9 9 9 9 10 11 11 10 9 9 9 10 10 10 10 10 11 11 11 12 14 14 14 12 11 10 8 8 8 8 8 8 6 6 7 8 11 14 16 16 15 15 15 17 18 19 19 20 20 19 17 14 12 10 10 11 12 12 11 11 11 11 12 11 11 10 9 9 9 10 10 11 11 10 10 10 10 11 12 11 10 8 8 9 11 11 11 11 10 9 9 9 9 9 nan
nan 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 11 11 11 11 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 12 12 13 12 12 10 7 6 6 6 6 7 8 7 5 4 3 2 2 2 4 6 9 12 15 19 22 21 18 14 11 11 12 12 12 11 10 10 9 9 9 10 11 12 11 10 9 9 9 10 10 10 10 10 10 10 12 13 14 13 12 10 8 7 7 7 6 6 5 4 4 5 7 9 13 14 13 12 11 12 14 16 17 18 19 19 19 19 18 17 15 13 13 13 13 12 11 11 11 11 10 9 8 7 7 8 9 10 10 10 11 11 11 12 12 12 10 9 8 10 11 12 13 13 13 12 10 10 10 11 12 nan
nan 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 11 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 13 13 12 10 8 7 6 6 7 8 8 7 5 3 2 1 1 2 3 6 9 13 18 22 23 21 17 12 10 11 12 12 12 12 11 10 10 9 9 9 10 12 12 10 9 9 9 10 10 11 11 10 10 10 12 14 15 14 11 9 8 7 6 5 4 4 4 5 6 7 8 10 13 14 12 11 10 10 11 12 14 15 15 14 14 15 15 14 13 13 13 13 12 11 11 10 10 9 9 8 7 7 7 8 9 10 10 10 11 12 13 13 14 13 12 12 12 13 13 14 14 14 14 14 13 12 12 13 13 nan
nan 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 9 9 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 13 13 13 11 10 8 6 5 6 7 8 7 5 3 1 1 1 2 3 5 9 14 20 23 22 18 15 11 11 11 11 11 11 10 10 10 10 9 8 9 10 12 12 11 9 8 9 10 11 11 11 11 10 11 13 15 17 15 11 9 7 7 6 4 4 5 6 8 8 8 7 10 12 12 12 10 9 10 10 11 12 12 11 10 9 8 8 9 10 10 11 12 11 10 9 9 8 7 7 6 6 6 6 7 8 9 10 11 12 13 14 15 15 15 15 15 15 15 15 15 15 15 15 15 14 14 13 13 14 nan
nan 8 8 9 9 9 10 10 10 10 10 10 11 11 11 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 8 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 11 9 6 4 5 6 7 7 5 2 1 1 2 3 3 6 10 16 22 22 19 15 12 12 12 12 11 10 10 10 10 10 10 9 9 9 9 11 11 11 10 9 10 11 11 12 11 11 10 11 13 16 18 15 11 8 7 6 6 5 6 6 8 9 9 7 7 8 10 11 10 10 9 9 10 11 11 11 10 8 6 4 4 5 7 8 9 9 8 7 5 5 5 4 4 4 4 4 4 5 6 7 8 10 11 13 14 15 15 15 14 15 15 15 15 16 16 15 15 14 13 13 12 12 13 nan
nan 8 8 8 9 9 10 10 10 10 10 11 11 11 11 10 10 10 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 11 9 6 5 5 6 6 7 4 1 1 1 2 3 3 6 12 18 22 20 15 12 11 11 12 12 11 10 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 11 11 11 11 10 10 11 13 17 18 15 11 7 5 4 4 5 6 7 8 8 8 7 7 8 9 10 10 9 9 9 10 10 11 11 11 10 9 7 6 6 6 6 6 5 3 2 1 1 2 2 2 2 3 3 3 4 5 5 6 6 8 10 12 13 14 13 13 12 13 13 14 14 13 13 12 12 12 11 11 11 12 nan
nan 8 8 8 9 9 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 10 11 11 11 12 12 13 13 11 10 8 7 7 7 7 7 4 2 1 1 2 3 3 6 12 18 21 17 12 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 11 11 11 11 10 10 11 13 17 18 16 12 7 3 1 2 3 5 6 6 6 7 7 7 7 8 8 8 9 9 9 10 11 12 12 13 15 16 15 13 10 8 5 4 2 1 0 -0 0 1 2 3 4 4 6 6 7 7 7 6 5 6 7 8 10 10 11 11 10 10 11 11 10 10 10 10 11 11 11 11 11 11 nan
nan 8 8 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 10 11 11 12 12 13 13 12 11 10 9 8 8 8 7 6 4 2 2 2 2 3 6 10 17 18 15 12 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 9 9 8 8 8 9 10 10 11 11 11 11 13 17 18 17 13 7 2 1 1 2 4 4 4 6 7 8 8 7 6 7 8 9 9 10 10 11 12 13 14 17 19 20 18 16 11 8 6 5 4 3 3 4 4 5 6 8 9 10 11 11 11 11 10 9 8 7 7 7 8 9 9 9 8 8 8 8 9 9 10 11 11 11 11 11 10 nan
nan 8 9 9 10 10 9 9 10 10 10 10 10 10 11 11 11 10 10 10 10 10 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 9 10 10 10 9 9 9 10 10 11 11 12 12 12 12 12 12 10 9 9 9 9 8 6 5 4 3 3 3 4 9 14 16 14 12 11 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 8 7 6 7 8 10 11 12 12 12 12 13 15 17 17 13 8 4 3 2 3 3 4 5 7 9 9 8 7 7 7 8 8 9 9 10 11 12 12 13 15 17 18 18 17 14 12 11 10 10 10 10 10 11 11 12 12 13 14 15 15 15 15 15 14 12 11 9 8 8 9 8 7 7 6 7 8 9 10 11 11 11 11 11 10 9 nan
nan 9 10 10 10 9 9 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 9 10 10 11 11 11 11 12 13 13 13 13 11 10 10 10 10 9 8 6 5 4 3 2 3 7 12 15 15 13 11 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 10 9 7 7 8 9 10 12 13 13 12 12 12 13 15 15 12 9 6 5 4 4 4 5 7 9 9 8 8 7 8 8 8 8 8 9 11 11 12 11 12 12 13 14 14 14 13 13 13 14 14 15 16 16 16 16 16 16 16 17 19 20 20 20 19 17 16 14 13 11 10 9 7 5 5 5 7 8 10 10 10 10 10 10 10 10 10 nan
nan 10 10 10 9 9 9 9 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 10 9 9 10 10 11 11 11 10 10 10 11 11 12 12 12 11 11 11 12 13 14 13 12 11 11 10 9 8 8 7 6 5 3 1 1 4 10 13 15 13 10 8 8 9 9 9 9 9 9 9 10 11 11 11 11 11 10 10 9 9 9 10 10 11 12 12 12 11 10 9 10 11 12 11 10 8 7 6 5 5 6 7 8 8 7 7 7 8 8 8 8 9 10 11 11 11 11 11 10 10 10 10 10 10 11 12 14 15 16 17 18 18 18 18 18 20 22 23 23 22 21 19 18 18 17 15 13 10 8 5 4 4 5 7 9 9 9 9 10 10 10 10 10 10 nan
nan 10 10 9 9 9 9 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 12 13 13 12 11 10 11 11 12 13 13 12 12 12 11 10 9 8 7 6 5 3 1 -0 2 7 12 15 14 10 8 8 8 9 9 9 9 8 9 10 11 11 11 11 10 9 8 10 12 11 11 10 10 11 11 10 9 7 6 6 7 9 10 11 11 10 9 7 6 5 5 5 6 7 8 8 8 8 8 9 10 11 11 11 12 12 11 10 8 8 8 7 7 8 10 11 13 13 14 15 16 16 17 19 21 23 22 21 19 17 17 17 18 18 16 13 10 8 6 5 5 6 8 9 9 9 9 9 9 10 10 11 10 nan
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nan 12 12 11 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 11 10 10 9 9 10 11 11 12 12 12 12 13 13 14 14 13 13 12 11 12 12 12 11 11 11 11 11 11 11 11 11 12 12 13 12 12 12 13 13 13 12 11 11 11 11 11 11 11 12 12 12 11 10 10 9 10 10 11 12 12 12 13 13 13 12 12 11 10 10 10 11 11 11 11 11 11 11 11 11 13 14 15 15 15 14 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 13 13 nan
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nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
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7 8 8 9 9 9 11 14 15 15 15 13 12 12 11 11 11 11 9 7 5 4 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 7 10 11 11 11 8 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 6 9 11 14 14 14 14 14 14 11 16 20 22 22 22 18 16 14 14 16 16 15 15 15 14 4 1 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 5 5 6 8 10 10 9 9 7 5 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 0 0 0 0 0 1 1 2 7 18
10 11 11 11 11 11 11 13 14 15 16 15 14 11 9 6 5 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 4 5 6 7 8 6 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 1 2 4 6 7 12 18 18 16 14 14 15 16 21 22 24 26 26 24 23 21 19 19 19 19 17 13 13 22 24 7 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 3 4 4 5 6 6 6 6 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 2 2 3 3 2 1 1 1 1 2 2 3 4 10 20
11 11 11 12 11 10 9 9 10 12 14 14 13 9 5 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 2 6 7 6 4 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 1 3 6 9 12 16 20 18 14 12 14 19 23 28 30 31 32 34 30 28 26 24 22 19 15 11 6 5 16 14 4 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 1 1 3 4 5 5 6 6 6 5 5 5 3 2 0 0 0 0 1 1 0 0 0 0 0 0 1 1 2 4 4 3 4 7 7 6 5 4 3 3 3 4 4 6 9 15
11 11 12 12 12 10 7 6 6 8 8 9 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 1 3 8 16 19 16 10 7 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 2 3 6 8 10 12 11 10 12 18 29 31 34 36 37 40 42 39 36 32 25 17 11 6 3 2 6 33 16 4 0 0 0 1 18 25 12 1 0 0 0 0 0 0 1 2 3 4 5 6 6 5 5 5 5 5 5 4 3 2 2 1 1 1 2 2 2 1 0 0 0 1 1 1 2 3 5 7 9 11 12 10 7 4 3 4 4 4 6 9 15
11 11 12 11 9 7 4 3 3 3 4 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 0 0 0 0 0 0 0 0 0 2 7 22 26 21 13 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 8 9 8 7 10 18 25 33 39 44 49 48 44 38 32 24 8 2 0 0 2 7 51 34 10 0 0 0 7 17 18 5 1 0 0 0 0 0 0 0 0 1 3 3 5 5 5 4 5 5 6 6 5 4 4 4 3 2 2 1 1 1 1 0 0 0 1 1 1 2 3 5 8 10 12 13 11 7 5 3 3 3 5 9 17 28
11 10 9 8 5 3 2 1 1 1 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 1 1 3 6 16 19 16 11 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 1 2 3 5 9 9 8 7 6 6 12 23 36 46 53 50 44 38 29 15 5 1 1 3 7 4 18 15 5 0 0 0 10 15 7 0 0 0 0 0 0 0 1 1 2 2 2 3 4 5 6 6 6 7 8 7 6 5 4 3 2 1 0 0 0 0 0 0 0 1 2 3 4 6 8 9 9 10 11 11 9 9 8 6 5 8 13 20 29 41
9 8 6 5 3 2 1 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 1 1 0 0 1 2 3 4 6 8 9 11 12 12 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 1 3 4 5 12 12 10 10 9 9 10 18 30 42 46 46 45 47 49 30 12 4 7 19 31 22 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 4 6 6 7 6 7 7 6 5 4 2 2 1 0 0 0 0 0 0 0 1 1 3 5 7 9 12 13 12 11 9 7 7 7 8 10 12 16 23 32 39 45 50
10 8 6 4 3 2 2 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 1 1 1 3 5 7 9 11 12 13 13 11 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 2 3 6 8 13 13 13 17 24 30 33 33 38 54 80 76 50 26 21 38 49 42 27 12 5 4 3 1 1 1 1 2 2 1 0 0 1 1 1 2 3 4 4 5 7 7 7 7 7 6 4 3 2 1 0 1 0 0 0 0 1 2 3 5 6 7 10 12 15 16 16 13 9 7 5 5 9 13 18 24 32 43 52 56 54 51
10 8 7 5 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 1 2 4 7 10 14 18 19 19 15 9 11 7 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 1 1 0 0 0 1 5 22 18 15 16 21 23 26 27 32 47 76 89 73 56 56 57 58 56 66 81 42 23 13 10 8 7 6 7 7 5 0 0 1 1 2 3 3 3 4 5 7 7 7 7 6 4 2 1 1 1 2 2 2 2 2 3 5 7 10 12 14 14 16 17 17 17 16 13 11 9 8 15 25 35 43 49 52 57 61 59 53 47
8 6 5 3 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 1 4 6 8 11 15 19 21 19 15 12 13 10 5 1 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 1 1 1 1 1 1 1 0 1 3 15 15 15 20 24 30 32 33 38 50 57 64 58 53 65 71 72 69 72 86 58 45 37 31 26 23 21 19 17 15 4 2 2 2 3 3 3 3 4 5 6 6 6 6 5 3 2 2 3 3 3 4 4 4 5 7 11 14 17 20 21 21 21 20 19 19 19 20 22 24 29 41 54 65 71 70 64 60 56 51 48 41
5 6 6 5 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 0 0 0 0 0 0 0 0 0 0 0 3 6 9 12 15 18 18 15 13 13 11 6 2 1 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 1 3 4 3 2 2 2 2 4 7 7 8 12 22 39 45 51 55 59 62 50 38 38 40 42 51 65 83 90 84 86 80 79 76 67 56 51 44 36 29 23 11 5 4 4 3 3 4 5 5 4 5 5 6 6 4 3 4 4 4 3 4 6 7 9 10 13 17 21 26 29 29 28 28 28 29 30 33 38 43 49 60 70 77 77 73 67 59 53 47 41 38 35
5 5 6 6 5 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 1 2 2 0 0 1 4 7 9 8 10 8 6 6 8 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 4 5 5 6 9 13 13 12 14 20 32 57 63 63 69 86 65 52 44 38 37 41 52 72 91 102 109 106 101 96 89 82 75 66 58 52 37 23 14 10 9 7 6 5 5 5 4 4 5 6 6 4 4 5 5 5 5 7 10 14 17 19 20 24 29 36 39 41 41 41 43 44 47 53 61 65 70 77 84 82 69 61 55 49 44 39 37 37 35
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3 5 4 3 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 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 1 0 0 0 0 0 2 5 6 6 4 1 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 3 6 8 10 10 10 10 9 9 9 9 10 11 13 16 19 21 22 26 35 43 46 46 44 41 36 36 36 37 42 52 71 96 112 107 89 79 72 65 60 60 66 72 70 51 43 36 30 23 17 15 15 16 18 18 18 16 15 15 16 20 23 27 33 39 43 46 49 53 57 63 68 71 72 74 76 79 81 84 88 89 85 76 63 53 52 52 50 42 35 35 36 34 32
2 3 4 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 7 3 1 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 3 8 13 14 12 11 10 8 5 5 5 6 6 8 15 19 20 21 24 33 39 42 43 43 47 45 44 43 42 37 36 45 59 66 62 48 40 36 31 24 22 34 53 71 68 63 55 43 31 24 22 22 24 26 24 22 22 23 26 27 31 35 40 46 50 54 57 61 66 71 77 82 87 91 95 96 93 87 86 84 82 76 67 57 52 50 49 46 38 33 32 33 33 32
1 1 3 4 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 3 2 2 3 6 10 8 4 1 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 1 3 6 9 12 11 10 8 5 4 4 6 6 8 13 19 20 20 21 24 30 36 42 45 47 50 48 45 40 36 28 25 24 22 19 11 6 6 6 6 4 2 7 17 37 49 61 61 53 45 41 35 29 27 28 27 27 29 31 36 38 42 47 52 57 60 62 65 70 76 81 86 91 95 99 102 98 90 81 79 76 73 68 61 55 51 48 45 41 37 35 33 31 31 33
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3 5 8 9 8 3 2 1 1 1 2 3 3 2 3 3 2 1 0 0 0 0 1 2 3 5 8 8 8 10 12 10 6 2 1 1 1 3 6 8 7 6 6 7 8 8 8 7 7 5 2 4 7 10 13 18 25 28 23 14 4 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 1 3 6 8 12 12 12 11 9 7 8 9 9 10 11 12 19 23 24 22 21 19 21 28 35 41 41 37 28 16 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 14 24 33 44 49 47 45 43 45 50 53 56 59 63 67 71 72 72 72 74 77 81 81 81 82 85 91 91 87 81 74 71 68 68 70 72 70 65 58 50 45 42 39 38 39 39 37 32
7 10 14 20 19 6 3 3 4 4 3 6 9 12 14 14 9 3 1 1 2 2 4 5 6 7 8 9 11 13 15 12 7 4 3 3 3 6 9 11 11 11 11 13 15 17 17 16 13 8 5 9 15 20 23 26 31 33 31 23 11 2 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 1 3 5 8 11 13 14 12 9 7 7 8 9 10 11 11 16 19 19 16 14 13 16 23 27 28 25 19 10 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 7 14 28 50 64 66 66 65 67 70 73 76 78 80 79 77 74 73 76 75 74 72 71 70 71 71 69 66 62 60 60 63 68 72 73 68 60 53 51 49 47 45 43 39 33 25
10 13 18 27 29 17 9 7 9 9 4 13 21 27 29 25 13 4 1 2 3 7 10 10 10 11 8 9 13 17 18 12 10 9 8 8 7 6 7 9 10 10 10 11 13 17 19 18 16 16 16 18 20 23 27 29 31 34 35 30 17 6 1 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 2 4 7 8 10 11 10 7 6 7 8 9 10 11 12 12 12 13 14 13 13 16 18 15 13 9 6 2 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 6 23 49 69 79 77 77 78 79 80 80 81 80 76 70 65 65 63 61 59 58 53 50 48 47 46 46 45 46 49 57 62 64 62 57 55 54 53 51 46 37 26 17 12
8 9 13 20 23 20 12 7 6 6 4 13 21 24 22 12 5 1 2 4 6 9 11 9 6 6 6 7 9 11 13 11 10 9 8 6 4 2 3 7 10 11 13 15 18 21 18 17 16 17 19 21 23 28 32 31 32 33 33 32 20 9 3 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 1 2 3 4 6 6 6 5 6 7 7 9 14 13 12 11 12 15 16 15 14 14 13 6 2 1 1 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 4 8 28 58 71 71 72 72 71 70 68 64 58 51 49 47 46 44 43 39 34 30 27 24 26 27 26 25 28 38 44 46 46 47 48 48 47 43 34 25 17 10 6
3 4 5 8 10 9 6 5 4 3 2 4 8 9 7 1 1 3 5 8 12 14 9 6 4 5 6 6 5 5 7 5 4 3 2 1 1 0 3 8 11 14 17 19 21 21 20 18 16 15 18 24 42 56 53 36 33 31 32 31 23 13 5 0 0 1 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 1 1 1 1 1 2 3 4 4 5 5 6 7 15 14 12 11 12 15 17 18 18 17 9 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 4 16 34 43 48 53 57 59 55 50 43 36 29 28 28 27 24 21 18 15 13 13 10 11 11 15 26 27 27 25 24 22 25 29 32 32 29 23 20 19 18 15
1 2 2 2 2 2 2 3 2 1 0 0 1 2 2 2 5 8 9 11 12 10 6 4 4 5 6 6 7 6 5 4 3 2 1 1 0 1 4 9 13 15 18 19 21 19 18 19 18 15 18 27 44 55 49 35 31 30 29 28 26 19 9 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 2 4 4 5 6 7 8 10 12 15 17 18 19 20 22 25 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 18 28 37 40 38 36 32 27 22 19 18 16 12 7 3 2 2 2 3 4 3 3 4 9 7 6 7 8 8 11 16 20 22 25 26 28 31 33 31
4 5 3 1 0 0 1 1 0 0 0 0 1 2 5 9 14 14 10 6 5 5 4 4 5 7 10 13 14 12 8 5 4 3 1 1 0 2 6 10 13 16 17 18 19 18 19 22 22 17 20 24 26 28 28 25 27 28 25 21 18 16 9 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 1 3 4 5 8 9 10 12 14 16 19 19 20 22 27 28 17 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 16 21 26 34 38 37 30 23 18 15 14 11 6 2 1 0 0 0 2 2 1 0 0 0 0 0 0 1 2 4 8 13 18 27 33 37 39 40 41 38
1 1 1 0 0 0 2 2 2 1 0 0 1 4 6 6 6 5 5 5 5 5 6 7 9 11 15 18 17 12 7 6 7 6 3 2 1 2 5 9 12 14 15 16 17 16 17 19 20 20 21 21 21 20 17 17 22 26 25 21 33 21 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 2 4 7 10 11 12 14 16 18 19 22 26 32 31 23 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 14 23 33 41 45 45 45 38 29 22 17 12 10 8 3 0 0 1 4 8 13 11 5 0 0 0 0 0 0 1 4 8 14 20 30 34 37 39 41 38 37 36
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0 0 0 1 3 3 4 3 2 1 1 0 1 2 4 7 12 12 10 7 7 8 10 12 14 23 17 11 7 5 7 10 12 10 5 2 1 1 2 6 10 13 17 20 23 21 20 19 17 16 18 19 16 11 8 6 7 10 14 15 14 18 22 20 5 1 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 1 4 7 10 13 14 15 16 19 25 28 34 37 36 28 18 11 7 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 10 17 25 30 33 32 27 23 20 16 12 8 4 2 1 2 3 12 25 31 32 27 17 8 3 1 0 0 1 3 10 19 26 32 31 29 28 28 27 29 30 30 31
0 0 0 3 5 6 6 6 4 2 2 1 2 5 9 16 14 9 5 2 1 3 6 9 9 10 8 6 6 7 8 12 14 12 8 4 1 0 2 5 7 10 14 20 26 26 23 20 16 15 17 19 19 16 13 11 9 9 13 12 13 16 20 24 12 6 2 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 1 3 6 8 11 12 14 16 21 26 30 34 36 33 30 24 17 10 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 7 11 15 17 17 11 8 7 7 7 5 3 2 2 4 12 22 30 34 33 28 18 8 4 2 1 2 6 7 9 16 25 34 34 29 24 21 22 23 25 28 31 32
2 4 8 12 13 12 11 12 8 2 2 5 9 10 10 10 5 2 1 0 0 1 2 3 3 3 4 8 12 15 13 15 15 13 8 4 2 3 5 7 6 6 8 14 19 20 18 16 14 13 14 17 19 21 19 13 10 12 11 13 14 13 13 20 16 10 4 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 10 10 13 16 19 22 26 30 29 22 22 19 14 8 5 3 1 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 5 4 3 3 2 2 3 3 3 4 7 12 22 29 32 32 29 22 15 9 6 6 4 5 14 10 11 17 27 32 29 23 17 15 17 20 21 22 24 23
14 18 21 22 20 18 14 10 8 8 10 19 24 20 10 2 0 0 0 0 0 0 0 1 2 3 6 11 16 20 18 16 13 9 5 3 5 8 10 9 8 8 8 8 10 13 17 20 21 18 17 19 23 27 26 22 19 18 17 15 13 10 9 15 15 11 6 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 1 2 2 3 6 9 10 11 13 16 20 22 23 23 18 17 17 13 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 2 4 6 8 13 20 26 31 32 32 28 22 16 11 10 10 7 5 5 9 16 24 31 30 23 16 12 12 14 15 16 16 15 15
24 25 26 28 30 28 16 10 15 26 35 35 30 20 7 1 0 0 0 0 0 0 0 0 2 2 6 9 13 20 18 14 10 7 4 6 9 11 12 11 9 9 11 12 14 18 24 30 29 30 34 39 45 50 50 45 37 31 24 17 12 10 12 17 17 14 8 1 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 1 2 3 3 3 6 8 9 10 12 15 22 22 21 21 19 13 13 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 9 9 14 21 26 26 27 25 21 17 14 14 15 14 14 18 25 33 37 37 32 23 16 15 16 15 14 12 13 13 13
30 32 34 34 32 27 16 16 24 35 42 37 27 14 2 0 0 0 0 0 0 0 0 1 1 1 6 9 12 17 15 12 9 9 8 9 10 11 11 13 13 13 16 20 25 32 43 57 66 70 71 73 77 80 76 67 56 45 31 21 15 14 16 19 21 21 16 8 4 1 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 1 2 2 3 5 7 7 6 6 8 13 17 16 15 14 12 7 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 8 11 14 18 22 21 20 19 19 20 20 21 23 26 30 37 45 47 45 41 37 35 32 30 27 24 22 19 18 18 18
31 35 37 36 32 24 21 26 35 42 41 27 13 3 0 0 0 0 0 0 0 0 0 1 1 1 2 5 8 11 10 7 6 7 9 10 11 11 14 16 17 18 18 21 29 46 67 86 93 91 88 87 89 97 94 87 76 60 38 27 22 19 19 25 29 31 31 24 17 10 3 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 1 1 2 3 4 6 6 6 5 6 7 9 9 9 8 7 5 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 1 2 5 9 12 14 15 18 18 17 19 22 26 29 32 35 40 46 53 59 59 52 48 50 54 54 51 47 42 40 39 38 37 33
33 38 42 38 31 25 22 27 34 37 27 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 3 2 2 5 8 8 8 10 16 17 19 20 21 24 32 56 83 101 104 99 97 98 98 103 106 103 93 71 53 41 33 27 26 31 35 40 48 40 34 23 8 2 1 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 1 1 3 4 5 7 7 7 6 6 7 6 5 5 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 1 2 5 8 10 11 12 14 15 16 17 20 24 30 37 44 47 52 57 63 70 72 65 63 69 74 74 72 68 64 63 63 64 63 55
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41 40 38 36 36 38 36 30 22 13 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 5 5 7 9 12 15 19 22 26 30 35 39 37 46 63 84 105 114 107 95 87 91 98 105 109 111 104 88 70 57 54 52 61 81 95 66 51 50 46 31 16 5 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 1 3 5 6 6 5 5 5 6 6 5 4 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 1 0 0 0 0 0 0 0 0 0 0 1 4 7 10 11 13 14 15 17 19 20 22 29 38 49 60 69 74 77 80 85 90 94 96 95 91 85 79 75 73 73 73 71 66 61 55
36 44 41 40 40 41 40 36 25 13 4 2 0 0 0 0 1 1 4 12 33 17 3 0 0 0 1 6 15 11 9 8 8 8 12 16 21 26 31 37 45 56 67 56 54 62 81 103 112 111 107 105 102 94 93 101 113 116 108 93 77 68 68 68 67 61 52 53 54 53 46 30 12 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 3 5 5 5 4 5 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 8 10 14 16 21 25 28 31 35 42 51 61 72 80 85 87 90 95 97 96 92 85 78 73 71 69 69 66 63 60 54 49 46
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