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 9 10 11 12 11 10 9 9 9 9 9 9 9 9 9 9 9 10 9 9 10 9 9 9 9 9 9 9 9 10 11 12 11 10 9 9 9 8 8 8 8 9 8 7 6 7 8 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 12 12 11 11 11 11 11 10 10 11 11 12 14 15 13 10 5 3 3 4 5 5 5 5 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 7 7 7 7 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 nan
nan 9 10 11 12 12 11 10 9 9 9 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 11 10 9 9 9 8 8 8 8 9 9 7 6 7 8 10 11 10 9 9 9 9 9 9 10 10 10 11 11 12 12 11 9 7 6 8 10 10 10 9 10 11 12 14 14 12 6 1 1 3 5 6 6 6 6 7 7 7 8 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 8 8 7 7 7 6 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 nan
nan 10 10 11 12 13 12 10 9 9 9 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 9 9 8 8 8 9 10 9 8 7 8 9 9 8 8 9 9 9 9 9 10 10 10 11 12 12 13 12 10 7 6 8 10 10 10 9 10 11 12 12 11 7 2 -1 -1 0 3 5 5 6 6 6 6 6 7 7 8 8 8 9 9 9 9 10 10 10 11 11 11 11 10 11 11 11 11 11 11 11 11 11 10 10 9 9 9 8 8 7 7 7 7 7 8 8 8 8 7 8 8 8 8 8 8 9 8 8 9 9 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 11 nan
nan 10 10 10 11 12 12 11 10 9 10 10 10 9 9 9 10 10 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 9 8 8 9 10 10 9 8 8 8 8 7 8 9 10 10 9 9 10 10 11 11 12 13 13 13 12 9 8 9 10 10 10 10 10 10 9 8 6 4 3 1 -1 -2 -1 1 3 4 5 5 5 6 6 7 8 8 9 9 10 10 10 11 11 12 12 12 13 13 13 12 12 11 12 12 12 12 12 11 11 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 nan
nan 9 9 9 10 11 11 11 10 10 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 12 12 12 12 11 12 12 12 12 10 9 8 8 9 11 10 8 8 8 8 8 9 10 10 11 10 9 9 10 11 12 12 13 13 13 12 9 7 7 8 9 9 10 10 9 7 4 2 3 5 5 2 -3 -5 -3 0 3 5 6 6 6 7 8 8 9 10 10 10 11 11 11 11 12 12 12 13 14 13 13 12 12 12 12 12 12 11 11 11 10 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 11 11 11 11 11 11 11 12 12 12 11 11 nan
nan 8 8 8 9 9 10 10 11 11 12 11 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 13 13 12 11 9 8 8 9 10 9 8 8 8 9 9 10 10 10 11 11 10 10 10 11 11 12 12 13 12 10 8 5 5 6 7 8 9 10 10 7 4 3 6 8 8 5 0 -3 -4 -1 3 6 7 8 8 8 9 9 9 10 10 10 10 10 11 10 10 10 11 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 nan
nan 8 8 8 8 8 9 10 10 11 12 12 12 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 12 11 10 9 9 10 9 8 7 7 8 9 10 10 9 9 10 11 10 10 10 10 11 12 12 12 11 10 9 8 8 8 8 8 9 10 10 10 9 9 10 11 11 9 6 3 1 1 3 6 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 nan
nan 9 9 9 8 8 9 9 10 11 12 13 13 12 11 10 10 10 10 9 10 10 10 11 11 10 10 10 10 10 11 10 11 11 11 12 12 13 12 12 11 10 10 10 8 7 6 6 7 9 10 10 9 9 10 10 10 10 9 9 10 11 11 11 11 10 10 11 11 11 10 9 9 9 10 10 10 10 11 11 11 10 9 8 6 4 4 6 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 11 11 11 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 nan
nan 9 10 9 9 9 9 9 10 11 12 13 13 13 12 12 11 11 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 10 10 8 7 6 5 7 8 9 10 9 9 9 10 11 10 9 9 10 11 11 11 10 10 10 10 11 11 11 10 9 9 8 8 9 9 10 10 10 10 10 9 8 6 5 6 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 nan
nan 10 10 10 9 9 9 10 10 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 9 9 9 10 10 10 10 10 10 10 11 12 12 12 11 10 10 9 8 7 7 7 8 9 10 9 9 10 11 12 11 9 9 9 10 11 11 10 9 9 9 9 10 11 10 10 9 7 7 8 9 10 10 10 10 10 10 9 8 7 7 7 8 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 10 11 11 12 11 11 11 10 10 10 11 11 11 10 10 11 11 12 12 13 13 13 13 12 12 11 11 11 10 10 10 10 10 10 9 10 10 11 11 11 11 11 12 12 12 12 13 13 13 12 12 nan
nan 10 10 9 9 9 10 10 10 10 10 10 10 10 11 11 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 9 10 11 12 13 12 12 11 10 10 10 9 8 8 9 10 10 9 9 9 10 12 12 10 9 9 10 11 10 10 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 11 11 11 11 10 9 8 7 7 8 8 8 8 8 8 8 8 7 7 8 8 8 8 9 9 9 9 9 9 9 9 10 11 12 12 11 11 10 9 9 9 9 9 9 9 10 11 12 12 13 13 13 13 13 12 12 12 11 11 11 10 10 10 10 9 9 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 nan
nan 9 9 9 9 9 10 11 11 10 10 10 10 10 10 10 9 9 9 10 10 10 10 9 8 8 9 9 9 9 9 8 8 9 10 10 10 10 11 12 13 12 11 10 10 11 10 10 9 9 10 10 10 9 8 9 10 11 11 10 9 9 10 10 10 9 9 9 9 9 8 8 8 9 9 9 9 9 9 10 10 11 11 11 10 9 8 7 7 7 7 8 8 8 8 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 7 7 8 8 8 8 9 10 11 11 12 12 12 11 11 12 12 12 12 11 11 11 10 10 10 10 9 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 nan
nan 9 9 9 9 9 10 11 11 10 10 10 10 10 11 10 9 8 8 9 10 10 10 9 8 8 8 9 10 10 9 8 8 9 10 10 10 10 11 12 13 13 12 11 11 11 11 10 10 10 11 11 10 9 9 8 9 10 10 9 9 9 9 10 10 10 9 9 9 9 8 7 7 8 8 8 9 9 9 9 9 9 10 10 10 9 8 7 7 6 6 7 7 7 8 8 8 8 8 9 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 11 11 nan
nan 9 9 9 9 9 9 10 10 10 10 9 9 10 11 11 10 9 9 9 9 11 11 9 8 8 9 10 10 10 9 8 8 9 11 10 10 10 10 11 12 12 12 11 11 11 11 10 10 10 10 11 10 10 9 8 8 9 9 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 8 7 7 6 6 7 7 8 8 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 9 10 10 11 11 11 11 11 11 11 12 12 12 12 13 13 12 12 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 nan
nan 9 9 9 9 9 9 10 10 10 10 9 9 9 10 11 10 9 8 8 9 10 11 10 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 11 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 7 6 6 6 7 7 8 8 8 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 9 9 9 10 10 10 10 11 11 11 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 7 7 8 8 9 10 10 11 11 12 12 12 12 12 13 13 13 14 14 14 14 14 13 13 12 12 11 11 11 11 10 10 10 9 9 9 9 8 9 9 9 9 9 nan
nan 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 8 7 7 8 9 10 11 10 9 9 9 10 10 10 9 9 8 8 9 10 11 11 11 11 12 12 11 11 10 10 10 10 10 10 10 10 11 11 10 10 10 9 9 9 8 8 7 6 5 6 6 7 8 8 9 9 9 8 8 8 8 7 7 7 8 8 8 7 7 7 7 7 8 9 9 10 10 10 10 10 10 10 11 11 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 11 11 11 11 12 12 13 14 14 15 15 15 15 15 15 15 14 14 13 13 12 12 11 11 10 10 10 9 9 8 8 8 8 8 9 9 nan
nan 9 9 8 9 9 9 9 9 9 9 8 8 8 9 8 7 7 7 8 9 10 10 11 11 10 9 10 10 10 10 10 9 8 8 8 9 10 11 11 11 12 12 12 11 11 10 10 10 10 10 10 10 11 11 10 10 10 10 9 9 9 8 8 7 6 6 6 6 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 7 7 6 6 7 9 9 10 10 10 10 10 10 10 11 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 10 9 8 8 8 8 9 9 9 9 10 10 10 11 12 13 14 15 16 16 16 16 16 16 15 15 14 14 13 13 12 12 11 11 10 10 9 9 9 8 8 8 8 8 8 nan
nan 8 8 8 8 8 9 9 9 9 8 8 8 9 10 9 7 7 7 9 10 10 11 11 11 10 10 10 11 11 11 10 10 10 9 9 9 10 11 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 8 7 6 6 7 9 10 10 11 11 10 10 11 11 11 10 10 10 10 10 10 11 11 11 12 12 13 12 12 12 11 10 9 8 7 7 7 7 7 8 8 8 8 9 10 11 11 13 14 15 16 16 16 16 16 15 15 14 14 13 13 12 12 11 11 10 10 9 9 9 9 8 8 8 8 8 nan
nan 9 9 9 9 9 10 10 9 9 8 8 9 10 11 11 10 9 9 10 10 10 11 11 10 10 10 10 10 10 11 11 11 10 10 9 9 10 11 11 11 11 11 12 12 11 10 10 10 10 9 9 9 9 9 9 10 10 9 9 8 8 8 9 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 8 7 7 7 8 9 10 11 11 11 11 11 11 11 10 10 9 10 11 12 13 13 13 13 13 13 13 13 12 12 11 10 9 8 7 7 7 7 7 7 7 8 8 8 9 10 10 11 12 13 14 14 14 15 15 14 14 13 13 13 12 12 11 11 10 10 10 9 9 9 9 9 9 8 8 8 nan
nan 10 10 10 11 11 12 12 11 11 10 9 9 10 11 12 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 11 12 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 8 7 7 8 9 10 10 10 10 10 11 11 11 11 11 10 9 9 10 13 14 13 13 12 12 12 11 11 11 11 10 9 9 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 10 11 11 12 12 12 12 13 12 12 12 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 nan
nan 10 10 11 11 12 13 13 13 13 12 12 11 11 11 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 8 8 9 9 10 10 10 9 8 7 8 9 9 10 9 8 8 8 9 10 10 11 11 10 9 9 11 13 13 11 10 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 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 nan
nan 9 9 9 10 10 11 12 13 13 13 14 13 12 11 10 10 9 9 10 10 9 9 8 9 9 9 9 9 10 10 10 10 11 11 11 10 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 9 9 9 9 8 9 9 8 8 8 9 10 10 10 10 9 8 8 8 8 8 8 8 8 7 6 6 6 8 9 9 9 9 10 11 11 9 8 7 7 7 6 6 6 7 7 7 8 9 10 11 12 12 12 12 12 11 11 11 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 9 9 9 nan
nan 8 8 8 8 8 9 10 11 12 13 14 15 15 15 14 12 10 10 10 11 10 9 9 9 9 9 9 10 11 11 10 10 10 11 12 12 11 9 9 9 9 9 9 9 8 8 9 9 9 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 8 9 10 10 10 10 10 9 9 8 9 8 8 9 9 9 8 7 5 4 5 6 7 7 8 9 10 10 9 8 8 8 8 8 8 8 8 8 8 9 11 14 16 17 16 15 14 13 13 12 11 11 10 10 10 9 9 9 9 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 nan
nan 8 8 7 8 8 8 9 10 11 13 14 15 17 18 19 18 15 13 13 13 12 11 10 10 10 10 11 11 12 11 11 10 9 10 11 12 12 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 9 9 9 9 9 10 10 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 7 6 5 6 6 7 8 9 10 10 10 10 10 11 12 12 12 12 11 11 12 13 14 17 19 18 16 14 14 13 12 12 12 11 11 11 11 10 10 9 9 9 9 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 nan
nan 8 7 7 7 8 9 11 12 14 14 15 15 16 18 20 20 19 18 17 16 16 14 12 11 10 10 11 12 12 11 11 10 9 10 11 12 12 11 10 10 11 10 10 11 10 9 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 10 10 10 9 10 10 10 10 10 11 10 10 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 9 8 8 8 8 7 8 8 9 9 9 9 10 11 12 13 14 15 14 14 16 16 16 16 17 17 14 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 nan
nan 8 8 7 7 7 9 12 13 14 14 14 14 14 15 16 17 18 18 18 18 18 18 16 14 12 11 11 11 11 11 11 11 10 10 10 11 11 10 10 10 11 11 10 11 11 10 9 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 10 10 10 10 10 10 9 9 9 8 8 8 9 8 8 9 9 9 9 10 11 11 10 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 11 12 12 13 16 18 18 17 17 16 15 14 13 14 15 15 15 14 13 13 13 13 13 13 13 12 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 nan
nan 9 8 8 7 6 6 8 10 11 11 11 11 12 12 13 13 14 14 14 16 17 19 19 18 16 15 14 12 11 10 10 11 11 11 11 11 11 10 10 10 11 10 10 10 10 10 10 10 11 12 12 12 11 11 11 10 10 10 10 11 12 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 7 7 8 10 11 10 9 9 8 8 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 12 14 15 15 15 16 17 17 16 14 13 13 14 13 13 12 12 13 13 13 13 13 13 13 13 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 8 8 8 6 3 1 1 2 5 6 7 8 9 10 11 11 11 11 11 12 14 16 17 18 19 18 18 17 15 12 11 11 11 11 12 12 11 11 11 10 10 10 10 9 9 9 9 9 9 11 12 12 11 11 10 11 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 7 6 6 8 10 10 9 8 7 7 7 8 9 10 11 11 10 8 8 8 9 9 10 10 9 10 10 11 11 11 12 13 15 14 12 8 5 5 6 8 9 10 11 12 12 13 13 13 13 13 13 13 13 13 12 12 11 11 11 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 nan
nan 7 7 7 5 1 -2 -3 -3 -2 -1 1 2 3 5 8 9 10 10 10 10 10 11 13 14 15 16 18 18 18 17 15 14 13 11 11 11 11 12 12 11 11 11 10 9 9 8 8 8 8 9 10 11 10 9 9 10 10 10 9 9 9 9 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 10 9 7 7 9 10 9 6 5 5 6 7 8 10 11 13 12 11 9 8 8 9 10 10 10 10 10 10 9 9 9 10 11 11 9 5 1 0 2 4 7 9 10 12 12 12 12 13 13 12 12 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 nan
nan 5 6 7 5 3 0 -1 -2 -2 -2 -2 -2 -3 -1 1 4 6 8 8 8 8 9 9 9 10 11 13 15 16 17 17 17 16 14 11 10 9 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 9 9 9 8 8 8 9 10 10 10 10 10 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 10 10 9 10 11 10 7 5 3 5 7 9 9 10 12 13 13 12 10 9 9 9 9 9 9 9 10 10 9 9 9 10 9 8 4 1 -0 2 6 8 10 11 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 nan
nan 5 6 8 8 7 5 5 5 4 4 4 3 1 -2 -3 -2 1 3 5 7 7 8 8 8 8 8 9 10 12 13 14 16 17 16 14 12 11 11 10 10 10 10 11 11 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 9 9 9 10 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 11 10 8 6 5 7 10 11 11 11 12 13 13 12 10 9 8 8 8 8 9 9 10 10 10 10 10 9 7 4 -0 -1 1 5 9 11 12 12 12 12 12 12 12 12 12 12 12 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 nan
nan 7 8 10 10 10 9 8 9 9 10 11 12 11 6 2 -1 -2 -1 1 3 6 7 8 8 8 8 8 9 9 10 11 13 14 15 15 15 14 13 12 11 10 9 10 11 11 11 10 9 8 8 8 8 9 9 8 8 7 7 7 7 8 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 10 11 11 10 10 10 12 13 12 12 12 12 12 12 12 9 8 7 6 7 8 10 11 11 11 11 10 9 7 2 -1 -3 -1 3 7 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 nan
nan 9 10 11 11 11 10 9 8 8 7 10 13 14 14 12 7 2 -2 -2 -1 2 5 7 7 7 7 7 8 8 9 9 10 12 13 14 14 15 15 15 13 11 9 9 10 10 11 10 9 9 8 8 9 9 9 8 7 7 6 7 8 10 11 11 10 10 9 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 9 8 7 8 9 10 11 12 12 13 14 14 12 12 12 11 11 11 10 8 7 6 6 8 10 11 12 12 11 11 11 10 6 1 -1 0 2 5 8 9 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 nan
nan 9 9 10 11 11 10 9 7 5 2 2 6 10 13 14 12 7 2 -0 -2 -1 1 4 5 5 5 5 5 6 7 7 8 9 11 12 13 14 14 15 14 13 11 10 10 10 10 10 9 9 9 9 9 9 8 7 7 8 8 9 10 11 11 10 9 9 9 9 8 8 8 9 9 8 9 9 9 9 10 10 10 10 9 8 8 8 9 9 10 11 11 11 12 13 12 10 9 9 8 8 9 9 8 8 7 7 9 10 12 12 12 12 12 12 11 9 8 7 7 6 6 7 9 10 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 8 9 9 10 10 9 9 7 4 0 -1 1 4 8 10 10 8 6 4 1 -0 -0 0 1 2 2 2 2 3 4 4 4 4 7 9 11 12 12 13 13 13 12 12 11 10 10 10 9 9 9 10 9 9 9 9 10 10 10 11 12 11 10 9 8 8 9 10 10 10 10 9 8 8 7 8 9 10 10 11 10 9 8 7 7 8 10 10 10 10 9 9 9 8 6 6 6 6 6 7 9 9 10 9 8 8 10 11 12 12 12 12 12 11 11 12 13 14 11 8 6 6 8 10 11 12 12 12 12 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 12 12 12 11 11 11 nan
nan 8 8 9 9 9 9 9 8 6 4 3 3 4 6 7 8 8 7 6 6 5 4 3 1 0 0 0 1 1 3 3 1 -0 1 5 8 9 10 11 11 12 12 12 12 12 12 11 10 9 9 10 11 11 12 12 12 12 11 11 12 11 10 8 8 10 11 12 11 10 8 7 6 6 8 9 10 10 9 8 8 7 7 8 9 10 11 11 10 10 8 8 6 5 4 5 5 6 8 9 11 12 12 11 10 10 10 11 12 12 11 11 11 11 10 12 13 12 8 5 4 5 8 11 11 12 12 13 13 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 nan
nan 7 8 9 9 9 8 9 10 9 8 8 8 7 7 8 9 9 8 6 7 9 10 9 7 4 4 3 3 4 5 5 3 1 -0 1 4 7 8 8 9 9 9 10 12 14 15 14 12 9 10 11 12 13 14 14 13 11 9 10 11 11 10 9 10 12 12 12 10 7 5 3 4 7 10 11 10 7 5 4 5 6 9 10 11 12 12 11 10 10 9 8 7 6 6 6 7 8 9 10 12 14 14 13 11 10 10 11 11 11 11 11 11 10 10 10 9 6 3 1 2 6 10 12 13 13 13 14 14 14 14 14 14 14 14 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 nan
nan 7 8 9 9 8 8 9 10 10 10 10 10 9 8 9 11 11 9 7 7 9 11 11 10 9 8 7 6 7 8 8 7 5 4 3 5 6 7 8 7 6 6 7 10 14 16 15 12 10 10 11 12 14 14 14 13 10 9 10 11 11 10 10 11 11 11 10 8 5 3 2 4 10 13 12 9 5 3 5 8 11 13 13 13 12 11 10 10 10 10 10 9 9 9 8 7 8 9 10 13 15 15 13 12 10 9 10 10 10 11 11 10 10 10 9 7 5 3 2 4 9 11 13 14 14 15 15 15 15 15 15 15 14 14 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 nan
nan 6 7 8 8 9 9 9 10 10 10 10 9 6 5 8 12 14 12 10 9 9 10 11 10 10 9 8 7 8 9 9 9 8 7 7 7 8 9 9 8 6 6 7 9 12 13 12 10 10 11 12 13 14 14 14 13 11 10 11 11 11 11 10 10 9 8 8 7 6 5 5 8 12 13 12 9 7 9 12 14 16 14 13 12 11 10 10 10 11 12 12 11 10 9 7 7 7 8 10 13 15 14 12 10 9 9 9 10 10 11 11 10 10 10 9 9 8 7 6 8 10 12 14 15 15 15 16 16 16 16 15 15 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 nan
nan 7 7 7 8 9 10 11 10 10 10 9 7 2 1 5 11 14 15 13 11 11 11 11 10 9 8 8 8 9 10 10 9 8 8 9 9 10 10 10 10 10 10 10 11 12 12 11 10 11 12 13 14 14 14 14 13 12 12 12 11 11 10 9 8 8 7 7 8 8 8 9 11 13 13 12 12 12 14 14 13 11 9 9 9 10 11 12 12 12 13 12 12 10 8 7 7 7 8 10 13 13 12 11 9 8 9 9 10 11 11 11 10 10 10 10 11 11 10 9 10 10 12 14 15 15 15 15 15 15 15 14 14 13 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 nan
nan 9 8 8 8 9 10 10 10 9 9 8 5 0 -1 3 7 11 14 15 14 13 12 11 11 9 8 8 9 9 10 10 10 9 9 9 9 9 8 9 10 11 13 13 13 13 13 12 12 13 14 15 15 15 14 14 14 13 13 12 12 11 10 9 8 8 8 8 9 9 9 10 11 11 11 11 11 12 12 10 8 7 7 7 8 9 10 11 11 12 12 12 12 10 9 8 8 7 8 10 11 11 11 10 9 9 9 10 11 11 11 10 9 10 10 11 12 11 10 10 10 10 12 13 13 13 13 13 13 13 13 13 12 11 11 10 10 10 9 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 nan
nan 10 9 9 9 9 9 8 7 7 7 6 3 -1 -1 2 5 8 12 15 16 16 14 12 10 9 8 8 9 10 10 11 11 10 10 10 8 5 4 4 6 8 11 12 12 12 11 10 11 12 14 15 15 14 13 13 13 13 13 12 12 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 6 5 6 8 9 9 9 9 9 10 10 11 12 12 12 11 10 9 9 8 8 9 10 11 11 10 10 9 9 10 10 10 10 9 9 10 10 11 11 10 10 11 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 nan
nan 11 10 10 9 8 7 6 6 6 6 6 2 -1 -0 2 5 8 10 13 16 17 15 11 9 8 8 10 10 10 10 11 12 12 11 11 8 4 2 2 3 6 8 8 9 9 8 7 7 7 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 7 6 6 6 7 8 8 6 6 6 6 6 4 5 8 10 11 11 11 10 10 10 11 11 12 12 11 10 10 10 10 9 9 9 9 10 10 10 10 9 8 9 9 9 9 9 10 11 11 11 11 11 11 11 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 12 nan
nan 10 9 9 9 8 8 7 7 7 8 6 2 -0 0 3 6 7 9 11 15 17 16 11 8 6 7 9 10 10 11 12 12 11 11 10 9 7 6 4 3 5 6 6 7 8 7 6 5 5 5 6 6 6 7 7 7 7 7 6 6 7 7 7 6 6 5 5 6 8 10 11 10 8 8 8 8 7 6 7 9 10 11 11 10 11 11 11 12 12 11 11 10 10 10 10 11 11 10 10 9 10 10 10 10 8 8 8 9 9 10 11 11 12 12 12 12 11 11 10 9 8 7 7 7 7 7 7 8 9 9 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 14 nan
nan 7 7 8 10 11 12 11 10 9 9 6 2 0 1 4 7 7 8 11 15 18 15 11 7 5 5 7 9 10 12 12 11 9 9 9 10 11 10 8 5 5 5 6 8 9 9 9 8 7 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 6 7 7 9 12 14 13 11 10 10 10 10 9 8 9 9 9 10 10 10 10 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 9 8 8 8 9 10 11 12 13 13 13 13 12 12 11 9 9 8 7 7 7 8 9 9 9 9 10 11 12 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 12 12 11 11 11 13 15 17 nan
nan 5 5 7 10 12 15 14 12 11 9 6 2 0 2 5 6 7 8 11 15 17 15 11 7 5 6 8 10 12 13 11 9 7 7 9 11 12 11 9 7 6 6 7 9 11 12 12 11 8 6 5 5 6 7 7 7 8 8 9 9 9 8 8 8 9 9 11 13 15 16 14 12 11 11 11 9 8 8 9 10 10 10 10 10 9 8 9 9 10 11 11 12 12 12 12 11 10 10 11 11 12 11 11 9 8 8 8 9 10 11 12 13 14 13 13 12 11 10 10 10 9 9 10 12 13 14 13 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 15 17 19 nan
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nan 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 11 11 10 10 10 10 9 9 9 9 9 11 12 13 13 13 12 12 12 11 11 11 11 12 12 12 12 12 12 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 10 10 11 11 12 11 11 11 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 9 10 10 10 11 11 11 10 10 9 10 12 16 20 23 25 26 25 24 22 19 16 12 9 5 0 -3 -6 -9 -10 -9 -8 -5 -1 1 1 2 3 nan
nan 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 11 10 10 10 10 10 9 9 9 9 9 10 10 11 12 12 12 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 11 11 11 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 9 8 7 7 8 11 14 18 21 23 25 27 27 27 26 25 24 21 18 13 8 2 -3 -7 -10 -11 -10 -9 -9 -9 -8 nan
nan 11 11 11 12 12 12 12 11 11 11 11 12 12 13 13 13 13 13 12 12 11 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 12 12 11 11 11 11 11 11 11 11 12 11 11 11 11 11 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 10 10 10 11 11 11 11 12 12 12 11 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 11 11 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 6 6 7 8 10 12 13 16 19 22 25 27 29 30 31 32 31 27 23 17 11 5 -1 -5 -7 -9 -11 -13 -14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 3 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 1 1 1 1 0 1 3 3 4 5 6 8 9 11 15 15 9 2 0 0 0 0 0 0 0 1 4 9 16 12 11 10 9 8 6 6 5 6 6 6 5 4 4 4 4 3 3 3 3 2 2 2 3 3 4 4 5 7 9 10 11 13 14 15 16 15 15 14 13 13 14 15 16 17 16 14 13 13 14 15 16 15 14 15 18 22 25 30 36 45 50 52 57 62 68 76 83 83 84 86 90 97 104 109 113 112 102 87 79
0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 5 5 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 2 3 3 4 4 5 6 8 13 17 17 5 1 0 0 0 0 0 0 0 1 4 8 14 12 12 11 10 9 8 8 7 7 7 6 6 5 4 4 3 3 3 3 2 2 2 2 3 4 5 5 6 7 8 9 9 10 13 14 15 16 16 16 16 17 18 19 20 20 19 16 14 15 16 18 20 21 21 23 26 31 35 40 47 55 59 61 64 69 75 78 80 79 77 78 78 85 88 86 83 81 75 72 73
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 4 5 5 5 4 5 6 8 9 7 3 1 0 0 0 0 0 0 1 5 12 14 14 15 15 14 14 12 11 10 9 8 6 5 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 5 6 7 7 8 8 8 9 14 18 20 20 21 21 21 22 22 22 22 21 20 18 17 20 22 24 27 28 30 34 39 43 46 52 57 60 63 66 72 80 80 80 75 65 63 66 68 67 63 64 64 62 64 70
1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 3 3 2 2 2 2 2 3 3 2 1 0 0 0 0 0 1 4 9 14 12 11 14 18 17 16 14 12 10 8 7 5 4 4 4 3 3 4 4 3 3 4 5 5 5 6 6 7 8 9 11 12 13 16 21 26 30 31 31 30 27 25 25 26 26 27 26 26 27 26 25 27 30 31 34 39 42 46 50 54 59 62 64 66 70 77 81 92 98 94 84 69 63 59 58 59 58 58 59 60 63 67
2 2 2 2 1 1 1 2 3 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 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 1 1 2 2 2 1 0 0 0 0 0 2 5 10 9 6 4 7 15 14 12 11 9 8 6 6 5 5 5 5 5 5 5 5 6 6 7 9 10 11 12 14 15 17 19 23 26 31 37 43 48 49 49 46 42 38 33 31 30 32 34 36 39 40 39 40 42 47 51 53 58 62 64 65 69 74 76 78 82 89 91 91 91 89 82 75 67 64 64 64 65 63 64 65 58 59 57
3 3 3 3 2 2 3 3 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 2 2 2 1 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 1 2 3 4 4 2 0 0 0 0 0 2 6 6 4 2 1 2 7 10 9 7 6 6 6 6 6 6 6 7 7 8 9 10 11 12 14 16 19 20 22 26 31 34 36 38 42 46 49 53 54 55 55 55 53 49 43 41 41 44 48 53 55 56 60 64 65 67 74 78 80 83 84 86 87 87 89 92 93 96 92 85 79 74 67 62 59 58 57 62 63 62 62 61 59 58 55
2 2 2 2 2 3 3 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 1 2 2 1 1 1 1 3 5 6 7 7 6 6 6 7 7 8 9 10 12 13 16 18 20 21 23 26 27 30 35 40 43 45 47 49 51 53 53 54 54 56 57 57 57 56 57 58 59 62 64 66 69 74 77 77 76 78 82 87 90 94 95 94 93 92 95 92 89 82 70 63 64 63 62 63 64 63 63 63 61 65 64 62 60 58
1 1 1 1 1 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1 1 1 1 1 1 2 2 1 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 1 2 1 1 0 0 0 0 0 0 1 1 1 1 0 1 1 1 1 1 2 5 7 7 7 8 9 10 12 13 14 17 20 21 23 25 27 27 28 29 32 36 39 41 42 47 51 52 52 52 54 55 57 61 62 60 62 65 67 65 66 69 73 75 75 74 77 77 77 80 83 85 89 92 96 99 91 92 93 92 85 72 69 71 72 73 85 82 78 76 74 66 70 69 66 63 61
1 0 0 1 1 2 2 2 1 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 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 4 8 9 9 10 12 14 15 17 19 21 23 24 25 26 28 29 30 31 33 35 37 40 42 45 48 51 54 57 60 61 64 66 65 65 66 66 65 63 63 67 72 74 73 74 76 76 75 77 79 78 80 83 88 100 101 101 101 95 92 92 95 92 85 84 86 83 82 83 84 77 74 70 67 64 62
2 1 0 1 1 1 2 1 1 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 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 2 2 1 1 1 1 2 9 14 16 17 18 19 20 23 25 27 29 30 30 31 32 34 36 38 41 44 45 47 48 50 54 57 63 67 68 69 69 71 80 84 77 69 70 64 58 56 60 68 73 79 83 83 72 70 72 75 77 83 95 105 107 109 108 97 100 106 109 108 106 105 103 100 98 98 98 95 92 85 77 74 72
3 3 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 1 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 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 3 3 2 2 2 1 2 8 15 21 23 24 25 27 30 32 34 37 39 40 40 41 43 44 45 46 51 52 52 54 59 62 67 69 70 70 68 67 68 74 79 76 68 67 58 48 47 55 60 72 84 92 93 91 88 88 88 90 92 95 97 101 108 110 104 106 114 124 126 124 123 126 126 120 114 110 109 107 99 89 84 78
3 1 1 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 1 1 2 2 2 3 3 3 4 4 4 3 3 3 3 7 13 20 23 25 28 31 34 35 36 39 41 42 43 43 43 43 43 45 41 40 45 52 57 58 57 55 54 51 49 49 50 50 51 51 49 45 41 39 45 53 63 71 78 83 87 90 91 91 88 91 91 92 95 99 101 104 107 111 117 120 117 118 121 118 121 114 105 100 100 93 85 82 79 74
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 1 1 1 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 0 0 0 0 0 0 0 0 1 1 2 2 3 4 4 5 5 5 5 4 4 4 5 6 9 16 21 24 26 28 32 33 36 40 43 35 40 42 40 40 42 41 39 41 44 47 47 47 45 43 39 35 32 31 31 32 32 29 28 28 29 30 36 42 47 52 57 58 60 64 69 73 72 76 80 84 89 91 93 95 97 102 95 98 98 95 95 92 88 83 77 74 73 68 65 64 64 62
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 1 1 0 0 0 1 1 0 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 1 1 1 2 4 5 5 5 6 6 6 5 5 4 4 5 5 8 12 17 22 25 30 34 38 44 48 48 45 42 38 36 34 33 34 35 36 35 33 31 28 25 23 21 20 18 18 20 20 19 19 22 25 27 29 31 34 34 35 36 37 38 37 44 51 56 60 66 71 71 70 67 65 67 70 71 69 66 63 58 55 54 53 53 53 51 49 49 49 49
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 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 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 3 4 5 5 5 5 4 3 2 2 2 2 3 6 12 18 23 28 32 36 40 41 40 38 34 27 25 24 23 23 23 22 20 18 15 12 9 9 10 10 10 10 12 13 15 17 20 22 23 24 26 26 25 24 26 28 30 29 32 37 41 42 44 47 47 44 42 43 44 44 46 47 48 45 41 39 42 43 46 48 50 51 49 46 44
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 2 2 2 3 4 3 3 2 2 1 1 1 1 1 2 6 11 15 19 23 25 27 28 27 25 23 20 15 13 12 11 10 12 11 9 8 6 5 4 4 5 6 6 8 9 11 14 18 20 20 20 19 18 19 20 21 22 27 27 27 29 32 36 37 38 37 37 35 35 36 38 41 42 43 43 42 40 38 38 39 42 46 49 51 49 46 45
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 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 1 1 2 2 1 1 0 0 0 0 1 1 2 3 7 11 13 14 16 17 17 16 15 13 10 8 7 5 4 4 4 5 4 4 3 3 3 3 3 4 5 7 8 10 12 18 20 20 19 16 15 15 15 17 19 19 24 26 27 29 32 33 33 33 33 34 33 33 33 34 39 39 40 40 39 39 38 37 37 38 42 44 45 45 44 42
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 2 3 4 5 6 7 7 7 7 5 5 4 3 2 2 2 1 1 2 2 2 3 2 3 3 3 4 5 7 9 11 13 16 18 19 18 16 12 12 12 12 12 14 16 19 23 26 28 30 31 32 31 30 32 33 33 34 35 36 37 38 37 37 37 36 35 34 35 38 39 40 41 40 39
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 1 1 1 0 1 1 0 0 0 0 1 1 2 3 3 3 4 4 5 6 7 9 11 13 14 15 15 14 13 11 9 8 7 6 5 7 8 12 17 22 24 25 27 30 30 31 32 33 34 34 34 35 36 36 35 35 35 35 34 33 34 35 36 37 35 35 35
1 1 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 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 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 1 3 3 4 4 5 6 7 7 8 9 11 12 11 10 9 8 7 5 4 4 3 2 2 2 2 4 7 13 17 21 24 24 26 26 28 31 34 35 35 36 36 35 34 33 32 33 32 32 32 33 32 32 31 30 30
1 1 1 1 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 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 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 2 3 3 4 4 4 5 5 5 5 6 6 5 5 4 3 3 2 2 2 1 1 0 0 0 0 3 6 11 16 20 24 25 24 25 30 34 37 38 39 38 34 31 28 26 29 29 28 27 27 28 28 27 27 28
1 1 1 0 0 0 0 0 0 0 0 0 1 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 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 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 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 0 0 0 0 0 0 0 1 2 5 10 14 18 20 22 22 27 32 37 38 38 36 32 30 29 28 29 28 27 26 26 27 27 27 27 28
0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 4 3 4 2 2 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 1 1 1 1 1 1 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 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 13 16 19 20 23 27 31 34 34 33 32 32 31 31 30 28 26 26 27 27 27 28 28 29
0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 9 12 13 10 7 3 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 12 15 18 21 23 24 26 29 30 30 31 32 31 29 28 26 26 26 26 27 27 28 29
0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 12 16 15 14 12 9 4 3 2 2 3 3 1 1 1 1 1 0 0 0 0 1 1 0 0 0 0 0 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 9 12 15 19 21 22 23 25 27 28 30 32 33 31 31 29 27 27 28 30 28 27 28
0 0 0 0 0 0 0 0 0 0 1 1 0 2 5 11 14 14 15 16 17 12 9 7 8 8 8 6 4 2 1 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 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 0 0 0 0 0 0 0 0 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 11 15 19 21 23 25 26 27 28 30 33 35 36 37 37 36 36 35 32 30 30
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0 0 0 0 0 0 0 0 0 0 0 1 4 6 7 8 9 11 13 16 15 14 13 11 10 10 11 12 13 14 13 7 6 6 6 7 5 4 2 1 1 2 2 2 1 1 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 4 4 4 7 10 11 14 19 22 23 23 24 26 28 30 33 36 39 45 46 46 45 43 40 36
0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 4 6 8 10 11 10 11 10 9 9 9 10 11 12 11 12 11 10 10 10 11 10 8 5 3 2 3 4 4 3 2 2 3 4 6 7 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 4 4 4 4 5 5 7 9 9 10 11 12 15 18 20 21 23 25 26 27 29 33 37 42 45 46 45 45 41 37 36
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1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 3 5 6 6 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 4 6 8 8 7 7 7 6 4 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 6 5 7 9 8 5 4 4 4 5 5 2 1 0 0 0 0 0 0 0 0 0 0 0 3 6 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 1 1 1 1 2 2 3 4 6 8 10 12 14 15 17 20 22 22 22 23 24 26 28 29 29 29 29 30 31 32 32 31 31 30 29 30
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