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 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 5 5 5 5 6 6 6 7 7 6 6 5 4 3 3 3 3 3 3 3 3 2 3 4 6 10 11 9 7 7 8 8 9 9 8 6 5 4 6 6 7 7 7 7 8 8 7 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 nan
nan 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 5 5 5 6 6 6 7 7 6 6 5 4 3 3 3 3 3 3 3 3 3 3 6 9 12 10 7 7 7 7 8 9 9 8 6 5 4 5 5 6 6 7 7 8 8 6 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 nan
nan 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 5 5 5 4 4 4 5 5 5 6 6 7 7 6 6 5 4 4 4 4 3 3 3 3 3 3 5 9 13 14 10 7 6 6 7 8 9 8 7 6 6 5 5 5 6 6 7 8 9 8 6 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 nan
nan 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 6 6 6 6 6 6 5 5 5 4 4 4 4 5 5 6 6 7 7 6 6 5 4 4 4 4 4 4 3 3 3 4 7 11 14 14 11 9 7 6 7 8 9 8 8 7 7 6 6 6 6 7 8 9 10 8 6 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 nan
nan 6 6 6 6 7 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 6 6 6 6 6 5 5 5 4 4 4 4 5 5 5 6 6 7 6 6 5 5 4 4 4 4 4 3 3 3 5 8 10 11 11 10 10 9 8 8 8 9 9 8 8 7 7 6 6 6 7 8 10 10 8 5 4 4 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 nan
nan 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 4 4 4 4 5 5 6 6 6 6 6 6 5 5 5 4 4 4 3 3 3 4 7 9 8 7 8 8 9 8 8 9 9 9 8 7 8 7 7 6 6 7 10 11 10 6 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 nan
nan 8 8 8 8 8 8 7 7 6 6 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 5 5 5 4 4 4 4 4 5 5 6 6 6 6 6 6 5 5 5 4 4 3 3 3 4 6 8 7 6 6 7 7 8 9 10 9 8 7 7 7 7 7 7 7 9 11 11 8 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 nan
nan 9 9 9 9 8 8 8 7 6 6 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 4 4 4 4 5 5 5 5 6 6 6 6 6 5 5 4 3 3 2 3 4 5 6 7 6 6 6 7 8 10 10 9 7 7 6 6 6 7 7 8 10 12 10 7 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 nan
nan 9 9 9 9 8 8 7 7 6 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 4 4 4 4 5 5 5 5 6 6 6 6 5 5 4 3 3 2 3 3 4 5 6 6 6 6 7 9 10 9 8 7 6 6 5 5 5 6 7 9 10 9 6 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 nan
nan 9 9 9 9 8 7 7 6 6 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 7 7 7 7 6 6 5 5 5 4 4 4 4 4 5 5 5 5 6 6 6 5 4 3 3 2 2 3 3 4 4 5 6 6 6 7 8 8 8 8 7 6 6 5 5 4 5 6 8 9 9 6 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 nan
nan 9 9 9 8 8 7 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 8 8 8 8 8 7 7 6 6 6 5 5 5 4 4 4 4 4 5 5 5 6 6 5 5 4 3 3 3 3 3 3 4 4 6 7 7 6 6 7 8 8 8 7 6 6 5 5 5 5 7 9 11 10 7 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 8 9 8 8 7 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 8 8 8 8 8 8 7 7 6 6 6 5 5 5 5 4 4 4 5 5 5 6 6 5 5 4 3 3 3 3 3 4 4 5 6 8 8 6 6 7 8 8 8 8 7 6 6 5 6 7 10 13 13 10 7 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 8 8 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 8 8 8 9 8 8 8 7 7 6 6 6 5 5 5 5 5 5 5 5 5 6 6 5 5 4 3 3 3 3 3 4 4 5 7 8 8 6 6 7 8 9 9 8 7 6 6 6 6 9 12 14 13 9 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 6 6 6 6 6 5 5 4 4 4 4 4 4 4 5 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 8 8 8 7 7 6 6 6 5 5 5 5 5 5 5 5 6 6 6 5 4 3 3 3 3 3 4 4 5 8 9 8 6 6 7 8 9 10 9 8 7 7 6 7 10 13 14 11 7 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 2 3 5 7 7 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 9 8 8 8 7 7 6 6 6 5 5 5 5 5 5 5 5 5 6 5 5 4 4 3 3 4 5 7 9 10 10 9 7 7 7 8 9 10 9 8 8 7 6 8 12 15 14 9 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan -2 0 5 8 8 6 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 7 7 8 8 8 8 9 9 9 8 8 8 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 5 8 11 12 11 10 9 8 7 8 8 9 10 9 8 7 7 7 10 15 17 13 7 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan -1 4 9 11 10 6 5 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 4 4 5 7 9 12 12 10 9 8 8 8 8 9 9 9 8 8 7 7 9 13 17 16 10 6 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 6 10 13 13 10 7 5 5 4 4 4 4 4 4 5 5 5 5 6 6 6 6 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 8 7 7 7 6 6 5 5 5 5 5 5 4 5 7 8 9 8 7 7 8 8 8 8 8 9 8 8 7 7 7 11 15 17 13 8 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 11 13 13 12 10 7 6 5 5 5 4 4 4 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 8 9 10 9 8 7 7 6 6 6 5 5 5 6 6 6 5 5 6 7 6 5 5 6 7 7 8 8 8 8 8 8 8 7 9 13 17 17 11 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 11 11 10 9 8 8 7 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 5 5 4 4 5 7 9 10 9 8 7 6 5 5 5 5 5 5 6 7 8 7 6 6 6 6 6 6 6 7 7 7 8 8 7 7 8 8 8 11 16 19 15 8 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 nan
nan 9 8 8 7 8 8 7 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 3 3 3 6 9 11 11 10 8 6 5 4 5 5 4 4 5 7 9 9 7 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 9 12 18 18 12 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 nan
nan 7 8 8 7 7 8 7 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 3 3 3 5 8 11 13 13 12 10 8 6 5 5 5 5 4 5 7 8 8 7 7 7 8 8 8 8 7 7 8 8 8 8 8 8 9 14 18 15 10 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 nan
nan 8 9 9 7 7 7 7 6 5 5 5 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 3 3 3 4 6 7 9 11 13 15 15 14 12 10 8 7 7 7 5 6 7 7 7 7 8 8 8 8 8 8 7 7 8 8 8 8 8 11 16 18 14 9 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 nan
nan 11 11 9 7 7 7 7 6 5 5 6 7 7 8 8 9 8 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 3 3 4 5 6 7 8 8 10 13 15 17 17 14 11 10 10 9 7 6 6 6 7 7 8 8 8 8 8 8 7 7 7 8 8 8 9 13 18 19 13 8 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 nan
nan 12 11 10 8 8 8 8 7 6 6 7 8 8 8 9 11 11 9 8 7 6 6 6 6 6 6 5 5 5 6 6 6 4 4 4 5 6 7 7 8 8 8 9 12 14 16 15 12 10 10 9 8 7 7 6 6 7 8 8 8 8 8 8 8 7 7 8 8 7 8 14 19 17 11 7 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 nan
nan 9 9 9 10 9 9 9 9 9 8 8 7 6 6 8 10 12 12 11 10 9 7 7 7 7 7 7 6 5 6 7 8 7 5 5 6 6 7 7 8 8 8 8 9 11 11 11 10 9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 8 8 7 9 14 18 15 10 7 6 6 6 5 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 nan
nan 7 8 9 10 10 9 9 9 10 10 9 9 7 4 4 7 10 12 13 14 12 9 8 9 11 11 10 7 5 5 7 8 8 7 6 6 6 7 7 8 8 8 9 9 9 9 9 8 8 7 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 10 15 18 14 10 7 6 7 7 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 8 9 9 8 8 8 9 10 9 9 11 10 6 3 4 7 10 13 15 15 11 8 10 12 13 12 10 7 5 6 7 8 8 7 6 6 6 7 8 8 8 8 8 8 9 9 8 8 7 6 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 8 9 9 12 16 18 15 9 6 6 6 6 7 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 7 7 7 6 6 6 7 8 8 9 11 11 8 5 4 6 8 10 13 14 11 8 8 9 11 12 11 8 5 5 6 7 8 8 7 6 6 7 7 7 8 8 8 8 8 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 10 13 17 19 15 9 5 5 5 6 6 6 7 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 7 7 7 6 6 6 6 7 7 8 10 9 7 6 6 6 7 8 10 11 9 8 7 7 8 9 9 7 6 6 6 7 8 8 7 7 6 6 6 7 7 7 7 8 8 8 8 8 8 7 8 8 8 8 7 8 8 8 8 8 8 8 7 7 7 7 8 10 13 18 19 15 8 5 5 5 5 5 6 6 7 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 7 8 7 7 7 7 7 6 7 8 8 7 7 6 7 7 7 7 8 8 8 7 7 7 7 8 7 7 7 7 7 8 9 9 8 8 7 6 6 6 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 10 13 18 19 15 9 6 5 5 4 5 5 6 6 6 7 6 6 5 5 5 5 5 5 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 6 7 8 8 8 8 8 7 7 6 7 7 7 7 7 7 6 7 7 7 8 8 7 7 7 8 8 8 7 7 7 8 8 9 8 8 8 8 7 6 6 6 6 6 6 6 5 6 7 7 7 6 6 6 6 6 6 7 8 8 7 8 8 8 7 7 8 8 10 13 17 18 15 10 7 6 5 5 5 5 5 5 6 6 7 6 6 5 5 5 5 5 5 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 7 8 9 9 9 9 8 7 7 7 8 8 8 7 6 6 7 7 7 8 8 7 7 7 7 8 8 9 8 8 8 9 8 8 8 8 8 7 7 7 7 6 6 6 6 5 6 6 7 7 6 6 6 6 5 6 6 7 7 7 7 7 7 7 7 8 8 9 12 15 17 16 11 8 7 6 5 5 5 5 5 5 6 7 7 6 6 6 6 6 5 5 5 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 nan
nan 7 7 8 8 9 9 9 9 7 7 8 9 9 9 8 7 7 7 7 7 8 8 8 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 6 6 7 8 8 8 10 13 16 16 12 9 7 6 6 6 5 5 5 5 5 6 7 7 7 6 6 6 6 6 5 5 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 7 8 8 8 8 8 8 8 9 10 10 9 8 8 7 7 7 8 8 8 7 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 6 6 6 7 7 7 9 12 16 16 13 10 8 7 6 6 6 6 5 5 5 5 6 7 7 7 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 8 7 6 6 6 7 8 8 7 8 8 9 10 10 9 8 8 8 7 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 6 5 5 6 7 7 8 11 15 17 15 12 9 7 7 6 6 6 6 6 5 5 5 7 7 7 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 8 7 7 6 6 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 8 8 9 9 8 8 7 7 7 8 8 7 7 7 8 8 8 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 6 5 5 5 7 7 8 11 15 17 17 14 9 7 7 7 6 6 6 6 5 5 5 6 7 7 7 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 5 5 6 7 7 10 14 17 18 15 11 8 8 7 6 6 6 6 5 5 5 6 6 7 7 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 7 7 7 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 7 7 7 6 5 5 5 6 6 7 9 12 16 18 17 13 10 8 8 7 6 6 6 5 5 5 5 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 7 7 7 8 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 8 8 7 7 6 7 7 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 6 6 6 6 6 6 6 8 10 13 17 19 17 12 9 8 7 6 6 6 6 6 5 5 5 5 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 8 8 8 7 7 7 7 8 7 7 7 7 7 7 8 9 9 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 6 6 6 6 6 6 6 6 8 10 15 19 19 15 11 8 7 7 6 6 6 6 6 5 5 5 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 8 8 7 7 7 7 8 8 7 7 7 7 7 8 8 9 9 9 9 8 8 7 7 8 8 7 7 7 7 7 7 7 6 7 8 9 9 8 7 6 6 6 6 6 5 6 7 9 13 18 20 18 14 11 8 7 7 7 7 7 7 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 9 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 7 9 9 9 8 7 7 7 6 6 6 6 7 8 11 15 19 20 19 15 10 7 7 7 8 8 8 7 7 7 7 7 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 8 8 8 8 7 7 8 8 7 7 7 7 7 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 7 8 9 9 8 7 7 7 7 6 6 6 7 7 9 11 15 19 21 20 15 10 8 7 8 8 8 9 8 8 8 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 8 7 7 7 8 7 7 6 6 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 7 8 8 9 8 8 7 7 8 7 7 7 6 6 6 7 8 8 8 8 7 7 7 6 6 6 6 7 7 8 11 14 19 21 20 16 12 9 8 8 9 9 10 9 9 8 8 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 7 7 8 8 8 8 8 7 7 8 8 8 7 7 6 6 7 7 8 8 8 8 8 7 7 6 6 6 6 6 7 8 10 13 18 21 21 18 15 12 11 10 10 10 10 10 9 9 8 8 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 8 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 7 7 7 7 8 8 8 7 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 6 6 6 7 7 9 12 16 20 21 20 18 17 14 11 10 10 10 10 9 9 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 nan
nan 8 7 7 7 7 7 7 8 8 8 8 7 7 8 8 8 8 7 6 6 6 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 8 8 8 7 7 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 6 6 6 7 7 7 7 7 8 11 14 16 19 21 22 20 16 12 10 10 10 10 9 9 9 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 nan
nan 8 7 7 7 7 7 7 7 8 8 8 7 7 8 8 8 8 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 9 9 9 9 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 9 11 14 18 22 23 21 17 13 10 9 9 9 9 9 9 9 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 nan
nan 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 9 10 10 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 7 7 6 6 7 8 10 13 17 21 24 24 20 15 11 10 10 10 10 10 9 9 9 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 nan
nan 7 7 7 7 7 7 7 8 9 9 8 8 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 7 7 7 8 9 9 8 8 8 8 8 8 7 8 7 7 7 7 7 8 8 7 6 6 6 6 6 7 7 8 9 12 16 21 25 26 23 18 14 11 10 10 10 10 10 9 9 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 nan
nan 7 7 7 7 7 7 8 8 9 9 8 8 7 7 7 7 8 8 8 8 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 7 7 8 8 8 8 8 8 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 6 6 7 7 7 8 10 14 20 25 27 25 21 16 12 11 11 10 10 10 10 9 9 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 nan
nan 7 7 8 8 8 8 8 9 9 8 7 7 7 7 7 7 7 8 8 7 7 7 7 7 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 8 8 8 7 7 8 8 8 8 9 8 8 7 7 7 7 7 7 7 8 8 8 8 7 7 8 8 7 7 7 7 7 7 8 9 13 18 24 27 27 22 16 13 12 11 11 11 10 10 10 9 9 9 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 nan
nan 7 7 7 8 8 8 9 9 8 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 11 16 23 27 26 22 16 13 12 12 11 11 11 11 10 10 10 9 9 9 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 nan
nan 7 7 7 8 8 8 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 8 8 7 7 7 7 7 7 7 7 7 7 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 7 10 16 23 26 25 20 16 14 13 12 11 11 12 12 11 11 10 10 9 9 9 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 nan
nan 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 7 8 8 8 8 8 8 8 8 8 8 7 8 7 7 7 8 8 7 7 6 6 8 11 17 23 25 22 19 16 14 13 12 12 12 12 12 12 11 11 10 10 9 9 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 nan
nan 8 7 7 8 8 8 8 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 9 8 8 7 7 8 8 8 8 7 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 8 12 18 22 23 22 20 17 14 13 12 13 12 12 12 11 11 11 10 10 9 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 nan
nan 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 6 6 7 8 8 8 8 7 7 7 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 8 9 9 8 8 8 8 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 6 7 9 13 17 20 23 23 21 18 16 16 16 14 13 12 12 11 11 10 10 9 9 9 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 nan
nan 7 8 8 8 8 8 9 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 8 8 7 7 6 7 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 6 6 7 7 8 9 12 15 19 22 22 22 21 21 21 19 15 13 12 11 11 11 10 10 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 7 nan
nan 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 8 8 9 8 8 7 7 8 8 8 8 9 9 9 9 8 8 7 7 7 7 7 7 8 8 7 7 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 7 8 9 10 13 15 17 19 21 23 25 24 20 15 13 11 11 10 10 10 10 10 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 7 nan
nan 6 6 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 8 8 7 7 8 8 8 9 8 8 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 8 9 10 11 15 19 24 26 24 20 16 13 11 11 10 10 10 10 10 10 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 nan
nan 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 9 9 9 9 8 7 7 7 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 8 8 8 9 9 8 8 8 8 9 9 9 8 7 7 7 6 6 6 7 9 13 19 24 26 25 21 17 14 12 11 10 10 10 10 10 10 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 nan
nan 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 9 9 8 8 7 7 7 6 6 7 8 7 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 8 8 8 8 8 8 7 8 9 10 9 9 8 8 7 7 6 6 6 7 9 13 18 23 26 26 23 19 14 12 11 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 nan
nan 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 6 6 6 7 7 6 6 6 6 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 9 10 10 9 9 8 8 7 7 6 6 7 7 9 12 17 23 27 28 26 21 17 14 12 11 11 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 7 7 7 nan
nan 7 7 7 8 8 7 7 7 8 8 7 7 8 8 8 8 8 8 9 9 9 9 9 9 8 7 7 8 7 6 6 6 7 7 6 6 6 7 7 7 8 8 8 8 7 7 6 5 5 5 5 6 7 7 7 8 8 7 7 7 7 7 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 9 9 9 10 10 9 9 8 8 7 7 7 7 7 7 7 8 11 16 21 26 28 27 23 20 17 15 14 13 12 11 11 11 10 10 10 10 10 9 9 9 9 8 8 8 8 7 nan
nan 7 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 8 9 9 8 9 9 9 9 9 8 7 8 8 7 7 6 7 7 7 7 7 7 8 7 7 7 7 7 6 6 6 6 5 5 5 5 6 6 7 7 8 8 8 8 7 7 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 9 10 10 10 10 10 9 9 8 8 7 8 8 7 7 7 7 8 9 13 18 23 26 27 26 23 23 22 21 19 16 13 12 12 11 11 11 11 10 10 9 9 9 8 8 8 8 nan
nan 6 6 6 6 7 8 8 8 8 8 7 7 8 8 9 9 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 9 8 8 7 7 6 6 6 6 7 7 7 6 6 6 6 7 7 8 8 9 9 9 9 8 7 6 7 7 7 8 8 8 8 8 8 9 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 8 8 8 11 15 19 23 25 25 25 27 29 28 24 18 15 13 12 12 12 11 11 10 10 9 9 9 9 9 8 nan
nan 6 5 5 6 7 8 8 8 8 7 7 7 7 8 9 9 8 8 8 8 8 8 8 8 8 7 6 6 6 6 7 7 7 8 8 8 8 8 9 9 9 8 7 6 6 6 7 7 8 8 7 7 6 6 7 7 7 8 9 9 10 11 10 9 8 8 7 7 7 8 8 8 8 8 8 9 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 9 9 9 9 8 8 7 7 7 7 7 7 9 11 14 17 18 20 23 27 30 28 23 18 15 14 13 12 12 11 11 10 10 10 10 9 9 9 nan
nan 7 5 5 6 6 7 8 8 7 6 5 6 7 7 7 8 8 8 8 8 8 8 8 8 7 7 6 5 5 6 6 7 7 7 7 7 7 8 9 10 11 10 8 7 7 7 7 7 8 7 7 6 6 6 6 6 6 6 8 9 10 11 12 11 10 9 9 8 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 9 8 8 7 7 7 7 7 6 6 7 8 10 11 13 15 19 24 25 23 20 17 15 14 13 13 12 12 11 11 10 10 10 10 9 nan
nan 8 6 6 6 6 7 8 8 7 5 3 4 6 7 7 6 6 6 7 7 7 7 7 7 7 6 6 5 5 5 6 6 6 7 7 6 6 6 8 10 11 10 9 9 9 8 8 7 7 7 7 6 7 7 6 6 5 5 7 8 10 11 12 12 12 11 10 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 10 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 10 12 16 19 21 21 20 18 16 15 15 14 13 12 12 11 11 10 10 10 10 nan
nan 8 7 6 7 7 7 8 9 9 6 3 3 4 6 6 6 6 6 7 7 8 8 8 7 6 6 6 5 5 5 5 6 6 6 7 7 6 6 6 8 10 10 10 10 10 9 8 7 6 6 7 8 8 8 8 8 7 7 7 7 9 10 11 12 13 13 12 11 10 9 8 8 8 8 8 8 8 8 8 9 10 10 10 9 9 8 8 8 8 8 8 8 9 10 10 10 10 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 9 12 16 18 19 19 19 18 17 16 15 15 14 13 13 12 11 11 11 11 10 nan
nan 8 7 5 6 7 7 8 9 10 8 5 3 4 5 6 7 7 7 8 8 9 9 10 9 8 7 6 5 5 5 5 5 5 6 7 7 7 6 6 7 9 9 10 10 10 9 8 6 5 6 7 8 9 9 9 9 9 8 7 7 7 8 9 11 13 14 14 13 12 10 9 8 8 8 8 9 9 9 8 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 11 11 10 10 9 9 9 8 8 7 7 8 8 8 8 8 7 8 9 12 15 17 18 19 21 20 18 16 15 15 15 14 13 13 13 12 12 11 11 nan
nan 7 6 5 4 5 7 8 9 10 9 7 5 4 5 7 7 7 8 8 9 9 9 10 11 11 10 8 7 6 6 6 5 4 5 6 8 8 7 6 6 7 9 9 10 10 10 8 7 6 5 5 7 7 7 8 8 8 8 8 7 7 7 7 9 11 13 14 14 13 12 11 10 9 8 8 9 9 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 11 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 10 11 12 14 16 18 21 22 21 19 17 15 15 15 14 14 14 13 12 12 11 nan
nan 8 7 6 5 5 6 7 9 10 10 8 6 5 6 7 7 7 7 8 9 9 9 9 11 12 12 11 9 8 8 7 5 4 4 6 7 7 6 6 6 7 8 9 9 10 10 9 8 7 5 5 6 6 6 6 7 8 9 9 9 9 8 8 8 9 11 12 13 13 13 12 11 10 9 9 9 10 10 10 8 8 7 8 8 8 8 8 9 9 9 8 8 8 9 10 10 10 11 10 10 10 9 9 8 8 8 8 8 8 8 8 9 10 10 10 10 12 15 19 22 23 22 20 16 15 15 15 15 14 14 13 12 11 nan
nan 8 9 9 8 7 7 7 8 8 9 9 8 7 7 8 8 7 7 7 8 8 8 8 9 10 11 12 11 10 10 10 8 5 4 5 7 6 5 5 5 6 7 8 8 9 10 10 10 9 7 6 6 5 5 6 6 7 9 11 11 11 11 9 9 9 10 11 12 13 14 13 13 12 11 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 9 10 10 11 11 10 10 9 9 8 8 8 8 8 8 8 7 8 9 9 9 8 9 11 14 17 21 23 22 18 15 14 14 14 14 13 12 11 10 nan
nan 8 10 11 11 10 9 8 8 7 7 8 8 8 8 8 8 8 7 7 8 8 8 7 7 8 10 11 11 11 11 12 11 9 6 6 7 7 5 4 4 4 6 8 8 8 9 9 10 9 8 7 6 6 5 5 5 6 7 9 10 10 10 9 10 9 9 9 10 12 13 14 13 13 12 11 10 10 9 9 8 8 8 9 8 8 8 7 8 8 8 9 9 9 9 9 9 9 10 11 11 10 10 9 9 8 8 8 8 8 8 8 7 8 9 9 8 8 8 10 13 17 22 23 19 15 13 13 12 12 12 11 11 9 nan
nan 8 9 10 11 11 10 9 9 8 6 6 7 7 8 8 8 8 8 7 7 7 8 8 7 7 8 10 10 11 11 12 13 11 9 8 8 7 6 4 3 3 5 6 7 8 9 9 9 8 7 7 6 5 5 5 4 5 5 6 6 6 6 6 7 6 6 6 7 9 11 12 13 12 12 11 11 10 9 9 8 8 8 8 7 7 7 7 7 7 8 9 9 9 9 9 8 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 7 8 9 9 8 8 8 9 12 18 21 19 16 13 11 11 11 10 10 10 9 nan
nan 7 7 8 10 11 11 10 9 8 7 6 6 7 8 8 8 8 7 6 6 7 9 10 9 8 8 9 10 10 10 11 11 11 11 9 7 6 6 5 4 3 4 5 6 7 8 9 9 8 7 6 6 5 5 5 5 6 6 6 5 5 4 4 5 4 3 3 3 5 7 9 11 11 11 11 11 10 9 9 8 8 8 8 8 7 7 7 7 7 7 8 9 9 9 9 9 9 9 10 10 10 11 10 10 9 9 9 8 8 8 8 8 8 8 8 9 9 8 7 7 9 13 17 18 16 13 11 11 11 10 10 10 9 nan
nan 7 6 6 7 9 10 10 10 9 8 7 6 6 8 9 10 9 8 6 5 6 9 10 9 8 8 9 10 10 10 10 10 10 11 9 7 6 7 6 5 4 4 4 5 6 8 9 10 10 9 8 6 5 4 5 5 6 7 8 8 7 6 6 5 4 3 3 2 2 3 6 8 10 10 10 10 10 10 9 8 8 8 9 9 9 9 9 8 7 7 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 9 8 8 8 8 9 9 9 9 9 10 10 10 9 8 8 10 13 15 15 13 12 11 11 11 11 10 10 nan
nan 7 6 5 5 7 8 9 9 9 9 8 7 7 8 10 11 11 9 7 4 5 7 9 9 9 9 9 9 10 10 9 9 10 11 10 7 6 6 6 6 5 5 5 5 5 7 8 10 12 11 11 9 7 5 5 6 6 7 8 9 9 9 8 8 7 6 5 3 2 2 3 4 7 9 10 10 11 10 10 9 9 9 9 10 10 10 10 10 9 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 9 8 8 8 8 9 9 9 10 10 11 11 12 12 11 11 11 11 13 14 13 13 12 12 12 11 11 11 nan
nan 9 7 6 5 6 7 8 8 8 8 8 7 7 8 10 11 12 10 7 5 4 6 7 8 9 9 9 9 9 8 7 7 9 10 10 8 6 5 5 6 6 6 5 5 5 6 7 9 11 12 12 11 9 8 7 7 7 7 7 7 8 9 9 9 9 8 7 5 3 2 2 2 4 6 8 9 10 10 10 9 9 10 10 10 10 10 10 10 10 10 9 8 8 7 8 8 8 9 9 9 9 10 10 10 10 9 9 8 8 8 8 9 9 10 10 11 11 12 13 14 15 14 12 12 13 13 13 13 13 12 12 12 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
43 39 36 33 27 24 20 19 18 18 18 20 20 16 13 12 11 9 5 3 3 3 3 3 4 5 5 4 4 5 4 6 6 6 6 6 6 5 4 3 3 3 3 6 11 16 20 21 20 17 13 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 4 5 5 3 2 2 5 13 19 13 7 2 0 0 2 3 5 5 5 4 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 1 1 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0
38 35 31 30 25 22 19 20 20 19 20 21 20 16 14 11 11 9 5 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 6 6 5 4 4 4 3 3 8 13 17 19 18 17 15 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 2 2 3 4 5 11 14 10 5 2 0 0 1 3 3 3 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 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0
35 43 41 34 27 24 22 22 22 22 23 24 23 20 15 11 10 7 5 4 2 2 2 3 4 4 5 5 5 5 5 4 4 4 5 6 6 4 4 4 4 3 3 7 12 16 17 18 17 14 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 7 6 9 10 6 3 1 0 0 1 2 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0
24 40 44 38 32 29 26 25 25 25 26 27 26 24 18 13 10 7 5 3 2 2 3 2 3 4 4 4 5 5 5 5 4 4 4 4 4 4 5 4 4 4 3 5 9 12 13 15 14 10 5 2 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 3 10 12 11 13 9 6 3 1 0 0 0 1 3 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 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0
20 33 41 40 39 36 33 30 28 28 28 29 28 25 21 16 11 6 3 2 2 2 2 2 3 4 5 5 5 6 6 5 5 4 4 4 4 5 5 4 4 4 3 3 6 9 8 8 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 11 14 16 17 11 6 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
21 27 37 44 48 45 38 34 31 30 30 30 29 26 22 17 11 6 3 1 1 1 1 1 2 3 4 5 6 6 6 5 5 5 4 4 5 5 4 4 4 4 3 3 5 7 6 5 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 12 14 12 8 5 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
33 36 51 56 57 50 44 39 36 34 33 31 29 25 20 15 9 3 1 0 0 0 1 1 1 2 3 4 5 6 6 6 5 5 5 5 4 4 4 4 4 4 3 4 5 6 6 6 6 4 3 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 7 5 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
47 51 60 65 65 60 54 48 43 40 37 31 27 21 17 11 7 3 0 0 0 0 0 1 1 2 2 3 4 6 6 6 6 6 6 5 5 4 4 4 4 4 3 3 5 6 6 6 6 4 2 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 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
54 60 64 71 72 67 61 54 48 44 40 29 24 18 12 7 4 1 0 0 0 0 0 0 0 1 1 2 3 5 5 6 6 6 6 6 5 4 4 4 4 4 4 3 4 4 5 5 4 3 2 1 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
64 70 74 75 73 69 63 57 50 41 36 25 18 13 8 3 1 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 5 6 6 6 5 5 4 4 4 4 4 3 3 2 3 3 3 2 1 1 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 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
68 74 77 76 73 67 62 56 45 35 29 20 14 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 5 6 6 5 5 5 5 4 4 4 4 4 3 3 3 2 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
68 68 73 75 72 65 58 49 37 29 21 12 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 5 5 5 5 5 5 5 4 4 4 4 4 3 2 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
68 62 63 65 64 59 50 39 29 21 14 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 5 5 5 5 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
66 62 58 54 51 46 38 28 20 13 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 5 5 5 5 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
57 54 50 45 41 36 29 21 13 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 3 4 4 4 5 5 5 4 4 4 3 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
45 42 39 36 34 30 23 16 10 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 3 3 3 4 4 4 4 4 4 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
38 35 28 23 24 25 20 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 1 2 3 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
31 26 15 9 15 22 20 14 6 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 2 3 4 4 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
18 13 9 11 18 21 17 10 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 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
15 20 25 27 27 23 14 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 0 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 0 0 0 0
23 30 37 38 29 24 19 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 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
20 16 25 42 26 24 23 13 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 9 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 0 0 0 0 0 0 0 0
17 5 14 36 27 26 21 12 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 1 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
18 7 9 20 25 25 18 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 0 0 0 0 0 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 7 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
17 11 12 17 20 22 17 11 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 6 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
13 12 12 14 20 16 14 12 6 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 2 10 6 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 7 4 4 15 10 10 8 4 0 0 0 0 0 0 0 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 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 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 2 0 0 5 6 7 5 2 0 0 1 1 1 0 1 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 1 1 1 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 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0
0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 19 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 47 32 15 11 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
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 11 40 56 2 6 12 9 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 49 112 52 39 34 32 32 27 15 5 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 20 101 88 57 40 41 45 41 33 24 18 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 48 72 74 52 40 48 52 49 46 38 30 20 14 12 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15 46 91 92 56 44 49 55 59 55 47 38 29 24 20 16 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 20 68 98 71 35 41 54 62 65 64 58 48 40 33 31 24 17 11 5 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 0 0 0 0 0 0 0 0 9 37 69 69 25 28 44 56 67 74 72 64 61 59 50 40 32 23 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 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 20 43 26 26 35 50 66 77 85 88 77 69 62 58 53 42 26 18 13 11 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 2 7 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 19 24 28 37 52 72 87 101 103 92 85 80 80 77 63 43 29 21 18 15 9 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 12 15 13 19 21 26
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 25 40 50 57 79 96 104 105 109 107 104 101 92 81 66 46 31 23 18 12 6 2 0 0 0 0 0 0 0 0 0 0 0 1 5 10 14 17 18 20 22 24 28
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 32 47 54 79 96 102 116 127 124 109 103 94 91 75 51 33 24 18 14 11 3 0 0 0 0 0 0 0 0 0 0 1 3 7 11 14 17 19 20 22 23 24
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 27 39 62 80 82 88 98 103 104 102 88 80 65 44 27 20 16 14 10 3 0 0 0 0 0 0 0 0 1 3 6 8 10 11 13 16 19 21 23 24 26
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 29 41 47 59 74 75 76 75 63 55 44 30 19 16 13 11 7 3 0 0 0 0 0 0 0 0 2 5 9 10 11 13 14 16 19 22 25 30 33
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 9 14 25 33 34 43 42 38 33 26 18 13 10 6 3 1 0 0 0 0 0 0 0 0 1 3 7 9 11 12 13 13 16 20 27 35 41 46
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 0 14 19 19 18 14 7 3 1 0 0 0 0 0 0 0 0 0 0 0 1 4 7 9 10 11 12 13 16 22 31 38 44 51
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 7 9 11 11 13 15 19 29 35 42 49
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 9 11 13 14 16 17 24 31 36 43
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 11 13 14 16 17 19 21 21 24 29 35 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 10 13 15 16 16 16 19 21 23 24 26 29 35 38
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 12 14 16 17 18 19 21 22 23 25 27 29 38 43
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 9 13 15 16 18 21 24 25 25 25 26 28 32 42 53
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 11 13 16 19 19 21 26 30 33 33 34 37 39 47 59
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 9 11 13 16 20 21 22 25 31 38 43 46 47 48 53 63
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 7 9 11 13 15 18 22 23 24 27 35 43 52 59 62 65 72
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 5 5 5 9 12 14 15 18 23 28 28 28 32 36 47 58 65 73 80
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 6 6 5 5 10 15 17 18 19 21 26 30 32 34 33 39 49 57 68 80
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 7 8 8 7 10 14 20 23 22 20 22 28 34 37 38 40 44 50 63 76
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 7 7 7 6 6 9 14 22 28 30 29 28 31 35 40 44 47 45 47 60 74
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 8 9 10 9 8 10 15 23 31 38 41 41 39 39 43 48 53 50 50 59 73
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 8 9 9 8 8 11 15 22 33 41 42 41 41 43 46 52 57 56 56 61 75
0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 9 9 10 11 11 11 16 26 34 40 43 43 43 46 53 61 66 67 67 73 86
0 0 0 0 0 0 0 0 0 0 0 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 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 1 2 4 8 9 11 11 12 13 19 27 31 37 43 46 46 54 63 73 82 85 84 89 101
0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 4 9 11 13 14 16 16 22 28 32 38 46 52 54 64 75 87 92 90 93 103 114
0 0 0 0 0 0 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 0 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 8 12 16 21 19 25 35 43 47 51 56 63 73 88 100 103 97 101 118 138
0 0 0 0 0 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 3 2 1 0 0 1 0 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 11 17 30 45 54 53 53 64 74 82 95 114 125 124 123 143 173
0 0 0 0 0 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 5 6 6 5 4 3 2 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 26 42 51 54 60 72 82 90 104 128 146 153 144 174 220
0 0 0 0 0 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 5 6 7 8 7 7 7 6 5 5 3 1 1 0 0 2 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 26 37 45 57 73 86 98 115 140 163 199 201 217 272
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 4 6 8 9 8 8 8 8 9 8 5 2 1 0 0 1 1 0 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 2 11 23 38 56 71 84 101 126 156 174 219 259 277 313
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 1 1 1 2 3 4 7 9 9 10 10 9 9 9 6 3 1 0 0 0 0 0 2 3 3 2 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 23 43 61 79 103 129 164 187 215 262 308 347
3 1 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 1 1 2 3 3 6 8 10 11 12 11 9 7 6 4 2 0 0 0 0 0 1 2 3 2 2 1 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 0 0 0 0 0 0 0 0 0 0 0 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 11 25 44 66 97 122 158 194 221 240 265 319
11 6 0 0 1 0 0 1 1 1 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 1 2 3 3 5 7 9 11 11 13 10 8 6 4 3 1 0 0 0 0 0 0 0 1 2 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 0 0 0 0 0 0 0 0 0 0 0 2 7 18 39 57 85 112 140 171 205 237 254 292
19 14 1 1 1 1 1 1 2 2 0 0 0 0 0 0 1 1 2 2 1 0 0 0 0 0 0 0 0 1 2 2 3 5 7 8 8 10 10 10 8 6 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 26 45 68 92 118 149 184 212 234 264
20 17 4 2 1 1 2 2 2 1 0 0 0 1 1 0 0 2 3 3 2 1 0 0 0 0 0 0 0 0 1 1 2 3 3 4 5 6 8 10 11 10 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 0 0 0 0 0 0 0 0 0 0 0 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 13 28 44 61 80 118 148 165 181 206
12 10 4 2 2 2 2 2 2 1 0 0 0 1 1 0 1 2 3 4 4 3 2 1 1 1 0 0 0 0 0 1 1 0 1 1 2 3 5 8 11 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 23 31 49 75 93 109 127 155
5 4 4 3 3 3 3 4 4 3 1 0 1 2 2 1 1 2 4 5 5 5 5 4 3 2 1 1 0 0 0 1 1 0 0 0 0 1 2 4 6 7 8 8 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 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 10 13 25 39 54 70 88 121
7 6 7 6 5 5 5 5 6 5 4 3 3 4 3 2 3 4 5 6 6 6 6 6 5 4 3 1 0 0 0 1 1 0 0 0 0 0 0 1 2 4 7 7 7 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 0 0 0 0 0 0 0 0 0 0 0 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 5 9 16 27 45 69 99
9 8 10 9 8 8 7 7 7 8 7 6 6 7 6 6 6 6 6 7 7 7 7 7 7 6 4 2 0 0 0 0 0 0 0 0 1 0 0 0 0 2 4 6 7 8 7 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 0 0 0 0 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 21 38 70 112
11 9 11 11 11 11 9 8 9 10 9 8 8 9 9 8 8 9 10 8 8 8 8 7 7 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 8 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 30 51 89 134
11 11 12 13 14 14 13 12 12 11 10 9 9 10 10 10 10 11 11 10 9 8 7 7 7 7 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 8 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 17 31 47 82 116 139