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 14 13 12 11 10 11 11 11 11 11 11 10 9 9 8 8 9 9 8 8 8 9 9 8 8 8 9 9 9 9 10 11 11 10 10 10 9 9 9 9 9 8 8 9 10 9 7 8 9 8 7 5 4 6 7 6 5 5 6 7 5 4 4 6 6 7 7 7 9 9 9 11 11 8 5 6 8 8 7 7 4 4 6 7 8 9 10 11 10 9 8 9 9 9 8 8 7 7 8 10 9 8 8 8 7 7 8 8 7 6 6 7 9 9 6 6 6 8 nan
nan 13 14 14 13 12 12 10 11 12 12 12 12 11 10 9 9 9 9 9 8 9 9 10 10 9 8 8 8 8 8 10 11 11 11 12 11 9 8 8 9 10 9 9 10 12 11 7 7 8 9 8 6 5 6 8 8 6 5 5 6 6 5 5 4 3 4 5 6 8 8 7 7 9 9 7 6 8 8 9 9 7 5 6 6 7 9 11 12 11 10 9 8 9 10 9 9 8 7 8 10 11 9 8 8 8 7 7 8 8 7 6 6 8 9 7 6 6 8 nan
nan 11 14 15 14 13 12 10 10 12 12 13 13 13 11 10 9 9 9 8 8 8 9 10 10 10 8 8 7 7 8 10 11 10 11 12 11 10 8 7 7 9 10 10 10 11 11 9 8 9 9 8 7 6 7 8 8 8 8 7 5 5 7 7 4 2 2 4 6 7 7 6 6 7 8 8 7 7 8 10 11 10 8 6 6 7 8 10 12 12 11 10 9 9 9 10 9 8 8 8 10 11 10 8 8 8 7 7 7 7 6 6 5 7 8 6 6 7 8 nan
nan 11 12 13 13 13 12 10 10 11 12 13 13 13 12 11 9 9 9 8 8 8 8 8 10 10 10 9 7 6 7 9 10 11 11 11 11 10 8 7 6 7 9 10 9 9 8 9 9 10 10 8 7 6 7 9 9 9 9 8 7 6 7 8 6 4 3 5 6 8 8 7 7 8 8 8 8 8 8 9 10 11 9 8 7 7 8 9 11 12 12 11 10 9 8 9 9 8 7 7 9 11 10 9 8 8 7 7 7 7 7 7 6 7 6 6 7 8 10 nan
nan 12 13 13 13 12 12 11 10 11 12 13 13 12 12 12 11 9 9 8 8 8 8 8 9 9 10 9 8 7 7 8 10 11 11 11 9 9 8 8 7 7 8 8 8 8 7 7 7 9 10 9 8 7 7 8 9 10 9 9 9 8 8 8 7 5 4 6 7 8 8 8 8 8 8 7 8 9 9 9 9 9 9 9 7 7 7 8 9 10 11 11 11 10 8 8 8 8 7 7 8 10 10 10 9 9 8 8 7 8 8 8 8 7 5 5 7 10 10 nan
nan 12 13 13 13 12 12 12 12 11 12 13 13 12 12 12 11 11 10 9 9 8 8 8 9 10 10 10 9 9 9 8 9 11 11 10 10 9 9 9 8 8 8 8 8 8 8 7 6 7 10 10 8 8 8 8 9 9 9 9 9 8 9 9 8 6 5 6 8 8 8 8 8 8 8 6 5 7 9 8 7 7 8 9 8 7 8 8 7 9 11 11 10 9 9 9 8 8 9 8 7 8 9 10 10 9 9 8 8 9 8 9 9 7 5 4 6 10 10 nan
nan 11 11 12 12 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 10 9 8 8 9 11 11 11 11 10 10 9 9 10 10 9 9 10 10 10 8 7 8 9 9 8 8 8 7 7 10 11 8 7 7 10 11 10 10 10 9 9 9 9 9 7 6 6 7 7 7 8 9 9 9 6 5 5 7 7 7 7 6 8 8 8 8 9 9 8 9 10 10 9 9 9 9 8 9 9 8 7 8 9 9 9 9 8 8 8 9 8 10 9 6 4 6 8 9 nan
nan 8 9 9 9 9 10 11 11 12 12 12 12 11 11 11 11 11 12 12 11 10 8 9 10 11 12 12 12 12 11 10 9 8 9 9 8 8 8 9 9 8 8 9 9 8 7 7 8 8 10 10 9 6 6 8 10 11 11 11 11 10 10 9 10 8 7 7 7 7 7 8 10 11 10 9 8 7 6 6 6 6 6 7 8 7 8 10 10 8 8 9 9 9 9 9 9 9 8 9 8 7 8 8 8 9 9 9 8 8 8 7 9 9 7 6 7 7 7 nan
nan 8 8 7 7 8 9 9 10 11 12 12 12 12 11 11 11 11 11 12 12 11 9 8 9 11 11 12 12 12 12 11 9 8 8 10 9 7 6 7 9 8 9 10 9 8 7 5 8 10 8 9 9 8 7 7 9 10 11 11 12 11 10 10 10 9 8 7 7 6 6 7 9 11 10 10 11 11 8 6 6 7 7 7 8 8 9 10 9 8 8 9 9 9 9 10 9 9 8 9 9 9 8 8 8 8 9 9 8 8 8 8 7 7 7 7 8 8 6 nan
nan 9 8 8 7 8 9 9 10 11 12 12 12 12 12 12 11 11 11 11 12 11 10 8 7 10 11 11 9 11 13 11 10 8 7 11 13 9 6 6 8 6 8 12 10 8 7 7 7 8 7 8 9 10 9 8 8 9 10 11 11 11 10 10 10 10 10 8 8 7 6 7 8 10 9 9 11 12 12 8 7 7 7 8 8 8 10 10 9 8 7 7 9 9 9 9 9 9 8 9 9 9 9 8 8 8 8 8 8 8 9 9 8 7 6 6 8 7 6 nan
nan 11 10 9 9 10 11 11 11 11 12 13 13 13 13 12 11 10 11 11 10 10 11 10 8 9 11 11 8 8 11 12 11 8 7 11 13 11 8 9 9 6 6 10 10 9 9 9 9 9 7 7 9 10 9 8 8 9 9 10 11 11 10 10 10 10 10 9 9 8 7 8 8 8 8 8 8 10 12 11 8 8 8 8 8 8 10 10 9 8 8 8 8 8 8 8 9 9 9 8 9 9 9 9 8 8 9 7 7 7 8 9 10 8 6 7 8 7 6 nan
nan 11 11 11 11 12 13 13 13 13 14 14 14 14 14 13 12 11 11 12 11 11 11 12 11 10 11 11 8 6 9 11 11 9 8 9 11 11 10 10 11 8 6 8 9 10 10 10 10 9 8 8 9 10 9 8 8 9 9 10 11 11 10 10 10 10 10 9 10 10 8 9 9 8 8 7 6 7 9 10 8 8 9 9 9 8 9 10 9 8 8 7 8 8 8 8 8 9 9 8 8 8 9 10 8 8 9 8 7 7 6 8 10 9 8 9 9 7 6 nan
nan 11 11 11 11 12 12 13 14 14 14 15 15 15 15 15 14 14 13 13 13 12 12 13 12 12 11 11 9 8 9 11 11 10 8 8 9 10 11 11 11 9 8 9 9 9 9 10 10 9 8 8 8 10 10 8 7 8 9 11 11 11 11 9 10 10 9 8 9 10 9 9 10 10 8 7 6 7 7 8 8 8 8 8 9 9 9 10 10 9 8 8 7 8 9 9 8 8 8 9 9 8 8 9 9 8 9 9 8 7 6 7 8 9 9 10 9 8 6 nan
nan 12 11 11 11 11 11 12 12 13 14 15 16 16 15 15 15 15 15 14 14 13 13 14 14 13 13 12 11 11 11 12 12 10 9 8 8 9 10 10 9 8 8 10 10 10 9 9 10 10 9 8 7 9 10 9 8 8 9 11 12 12 12 11 11 10 8 7 8 9 9 9 11 11 9 7 6 7 7 8 9 9 7 8 8 8 10 11 10 9 9 8 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 7 7 8 9 10 9 9 7 6 nan
nan 11 12 11 10 10 10 11 11 12 13 15 15 16 16 15 15 15 15 14 14 13 13 14 15 15 14 14 14 13 12 12 12 13 13 11 9 11 12 11 8 7 9 10 10 10 10 10 10 10 10 9 8 8 8 8 7 8 8 9 11 12 13 13 12 11 9 8 7 8 9 10 11 12 11 8 7 7 8 8 9 9 8 7 8 8 9 10 11 11 10 9 8 8 9 9 9 8 8 8 9 10 10 10 9 9 9 9 9 9 8 8 8 8 10 10 9 8 6 nan
nan 7 8 10 10 10 11 12 13 13 15 16 16 16 16 15 15 16 15 14 13 13 12 13 14 14 13 14 16 15 12 10 12 15 16 14 12 11 13 12 10 8 9 9 10 10 9 9 10 10 10 10 9 8 8 7 7 8 8 9 10 10 11 12 12 11 10 9 8 8 9 10 11 11 11 10 9 8 7 8 11 10 8 7 7 7 7 8 10 12 11 11 9 9 9 9 9 9 8 8 7 8 10 10 10 10 9 8 9 10 9 9 9 9 9 9 9 8 8 nan
nan 4 6 8 9 11 13 15 16 17 17 19 19 18 17 16 15 17 17 15 14 13 13 12 13 13 12 12 14 14 12 11 12 14 14 14 13 12 12 12 11 10 9 9 10 10 10 10 10 10 10 10 9 8 7 7 8 8 9 9 9 8 8 10 12 12 11 10 8 8 8 10 10 9 10 10 10 10 8 8 11 11 9 7 7 8 8 7 8 10 11 11 11 10 9 9 9 9 9 8 8 8 8 8 9 9 9 8 7 9 10 9 10 11 10 9 9 9 9 nan
nan 5 6 7 9 11 13 15 16 17 18 19 19 18 15 14 14 14 15 15 15 14 13 12 12 12 11 12 12 12 12 12 11 12 13 13 13 12 11 12 12 11 10 10 10 10 10 10 10 10 10 10 9 8 7 7 8 8 9 10 9 9 8 9 10 11 10 9 8 9 10 9 9 9 10 10 10 10 9 9 11 11 9 7 7 8 8 7 7 8 10 11 11 11 10 9 9 9 9 9 8 8 8 8 8 8 8 7 7 8 8 8 9 9 10 10 10 10 10 nan
nan 8 8 8 9 10 11 12 12 13 14 15 15 14 13 12 12 12 13 13 14 13 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 11 10 11 11 12 12 11 11 10 10 10 10 10 10 10 9 8 7 6 7 8 8 10 11 9 8 8 9 10 10 8 8 9 10 10 10 10 9 10 10 10 9 10 11 11 10 8 8 8 8 8 8 8 8 9 10 11 11 10 9 9 9 9 9 9 9 8 8 8 8 7 7 8 8 8 7 7 8 9 10 10 10 nan
nan 11 10 9 9 8 8 8 9 10 10 10 11 11 12 11 12 12 12 12 12 13 12 11 11 12 12 12 12 11 10 10 11 11 11 11 10 10 10 10 10 12 13 12 11 11 10 11 11 11 10 10 10 8 7 6 6 6 7 9 10 9 9 9 9 8 8 8 8 8 9 10 10 9 9 10 10 10 10 10 11 11 11 10 8 8 7 7 7 8 8 7 8 9 11 11 9 9 8 9 9 9 9 8 8 8 8 8 8 8 9 8 8 7 7 7 9 9 9 nan
nan 13 12 11 11 10 9 9 10 11 10 10 9 10 12 13 13 14 13 13 13 13 12 11 10 11 11 12 12 12 11 11 11 12 12 12 10 9 10 11 11 12 12 12 11 10 11 11 11 11 11 10 10 9 8 7 6 6 7 8 9 10 10 10 9 8 7 7 8 9 9 10 10 9 9 9 10 9 9 9 9 9 12 13 10 9 8 7 7 8 8 7 6 7 10 12 10 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 nan
nan 13 13 14 13 13 12 12 13 13 12 12 13 12 11 12 12 13 14 14 13 13 12 10 10 10 10 10 11 11 11 11 11 11 12 12 11 9 10 12 12 11 11 12 11 9 10 10 10 12 11 10 10 10 10 9 8 7 6 7 9 10 10 10 10 8 8 7 7 8 9 10 9 10 10 10 10 10 9 9 8 8 11 13 11 10 8 7 7 8 8 7 6 6 8 11 10 8 8 8 9 9 9 9 9 8 9 9 9 8 8 9 9 9 8 8 8 8 8 nan
nan 12 13 13 14 15 15 15 15 15 14 14 14 12 10 10 11 12 13 13 13 13 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 12 11 12 12 11 10 10 11 11 11 10 10 10 10 9 9 7 6 8 9 9 10 10 10 9 9 8 7 7 8 10 10 10 9 9 9 10 10 9 9 8 9 11 12 11 9 8 7 7 8 8 7 7 7 9 11 10 9 8 9 9 9 9 9 9 8 9 9 8 9 9 9 9 9 9 9 8 9 nan
nan 10 10 11 12 14 15 15 15 14 13 11 10 9 10 11 12 12 12 13 14 13 12 12 11 10 10 11 11 11 10 11 11 11 10 9 9 10 10 12 13 13 12 11 12 13 12 10 10 11 11 10 10 10 10 9 9 8 7 7 9 10 9 9 11 10 9 9 9 8 8 8 9 9 9 9 8 9 11 10 9 8 8 10 11 11 10 9 8 7 8 8 8 8 7 8 10 11 10 9 9 9 9 9 9 9 9 9 9 8 8 9 9 8 9 10 10 10 11 nan
nan 6 7 8 9 10 11 12 13 13 11 9 8 9 11 13 14 14 13 13 14 14 13 14 14 12 10 11 12 11 11 11 11 11 11 10 8 8 9 11 11 12 12 12 12 13 13 11 11 11 11 11 10 10 10 10 10 9 7 7 8 9 9 10 10 9 8 9 10 9 9 8 9 9 9 8 8 8 10 10 9 8 8 10 11 10 10 10 9 8 8 8 8 8 7 7 9 10 10 9 9 10 9 9 9 10 10 9 9 9 9 9 9 8 8 9 8 10 11 nan
nan 6 7 6 5 5 6 7 8 9 9 9 10 12 14 15 13 13 13 13 14 14 15 15 15 14 12 12 13 13 12 11 10 11 11 10 9 8 9 9 9 9 10 11 13 14 14 12 10 10 11 11 11 10 9 10 10 9 8 7 8 10 11 11 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 8 9 10 11 10 10 11 11 9 9 9 8 8 8 7 9 9 9 10 10 10 9 8 8 10 11 9 9 10 10 10 10 9 9 8 7 8 10 nan
nan 10 10 8 5 3 2 1 2 4 6 8 11 15 18 17 14 12 12 12 13 15 16 16 15 14 13 13 14 15 14 13 11 11 11 10 9 9 9 9 8 7 7 8 12 15 14 12 10 10 11 11 10 9 8 9 9 9 9 8 8 11 12 12 12 11 10 10 10 10 10 10 10 9 9 10 10 9 8 9 9 9 9 9 9 9 10 13 13 10 9 9 9 9 8 8 9 10 9 9 9 9 10 9 6 10 12 10 9 10 11 12 12 12 12 11 9 7 8 nan
nan 11 12 11 9 6 2 0 -0 1 3 6 10 15 19 19 16 13 11 12 13 14 15 15 14 13 13 14 15 15 15 14 12 12 11 11 10 10 10 9 8 8 7 7 10 14 14 13 11 11 11 11 10 9 8 8 9 10 10 9 8 10 13 14 13 12 12 11 11 10 10 10 9 9 10 10 10 9 8 9 9 9 10 10 8 7 9 11 13 12 10 9 9 8 9 9 10 10 10 10 9 10 10 10 7 8 11 11 10 11 12 13 14 14 14 13 12 10 8 nan
nan 12 12 11 11 8 5 2 2 2 3 5 9 13 18 19 17 14 13 12 13 13 14 14 13 12 12 13 13 14 14 13 12 12 11 10 11 10 9 9 9 9 9 9 10 11 13 13 11 11 11 10 9 8 8 8 10 10 11 11 9 9 11 14 14 13 12 12 11 11 10 10 9 9 10 10 10 9 9 9 9 9 10 11 9 9 9 9 11 12 11 10 9 9 10 10 10 11 11 11 10 10 10 10 9 8 10 11 11 13 15 16 16 16 15 14 14 13 10 nan
nan 11 10 10 10 9 8 5 4 5 5 6 9 11 14 15 15 15 14 13 13 13 13 13 13 12 12 12 13 14 13 13 12 11 11 10 11 11 10 10 10 10 11 12 12 12 11 11 11 11 11 10 9 8 8 9 10 10 10 10 10 9 11 13 13 13 12 12 12 11 10 10 10 9 9 10 10 10 9 9 9 9 10 10 10 10 10 9 9 11 12 12 10 10 10 10 11 11 10 10 11 10 9 8 8 9 9 9 11 15 18 16 16 16 15 15 16 14 12 nan
nan 10 9 10 10 10 9 8 7 7 8 9 9 10 10 10 12 14 15 15 13 12 12 12 12 12 12 13 14 14 13 13 12 11 11 11 12 12 11 11 11 11 12 13 13 13 12 11 11 11 10 9 8 8 9 10 11 10 10 9 9 10 11 12 13 13 12 12 12 12 11 10 10 10 9 9 10 10 10 9 9 9 9 9 10 10 10 9 8 9 11 12 10 8 8 9 10 11 10 10 10 10 8 6 6 8 8 7 10 17 19 17 15 15 15 15 16 16 13 nan
nan 10 10 10 10 11 11 11 10 10 10 9 8 7 7 8 10 13 15 16 14 13 13 12 12 12 12 12 13 14 14 13 12 12 11 11 12 12 11 10 11 12 14 14 14 13 12 11 10 10 10 9 9 9 10 11 11 11 10 8 9 10 11 11 12 12 11 11 12 12 11 10 10 10 10 10 9 9 8 9 9 10 8 7 9 9 9 9 9 9 11 11 10 8 7 7 9 10 10 10 9 9 8 6 6 6 6 8 12 18 19 16 14 13 13 13 14 15 15 nan
nan 11 11 10 10 12 12 13 12 11 10 8 7 7 7 8 9 11 13 15 15 15 15 13 13 12 12 12 12 13 13 13 13 13 12 12 12 12 11 10 10 12 15 15 14 12 12 11 9 9 9 10 10 11 12 12 11 10 9 8 9 10 11 11 11 11 11 11 11 12 12 12 11 10 10 10 9 8 9 9 9 9 9 8 8 8 8 8 9 11 11 11 11 9 8 7 7 8 10 11 10 8 8 7 5 5 6 8 13 18 17 15 13 12 11 11 11 12 14 nan
nan 10 9 9 9 10 12 12 11 10 10 9 9 9 9 10 9 9 9 11 14 16 16 15 14 13 12 12 12 12 13 14 13 12 12 12 12 12 11 10 11 12 14 14 12 10 11 11 10 9 9 11 11 13 13 12 11 10 9 8 10 11 10 10 10 10 11 11 12 11 11 12 12 11 11 10 9 9 9 9 9 9 10 9 9 8 7 7 8 10 11 11 10 10 9 8 7 6 9 11 10 8 7 7 6 6 6 7 12 16 15 14 13 12 11 10 9 9 11 nan
nan 5 6 6 7 7 8 10 10 11 11 11 11 12 11 11 10 8 6 7 11 15 17 17 15 12 11 12 12 13 14 13 11 10 11 13 13 13 12 12 13 13 14 12 9 7 10 11 10 10 10 11 12 12 12 11 10 10 10 9 10 10 10 10 9 10 9 10 11 11 10 11 12 13 12 11 10 9 9 9 9 9 10 10 9 9 8 9 9 9 10 9 10 10 10 9 9 8 8 11 10 9 8 8 7 7 7 7 11 16 14 13 12 12 11 10 10 10 9 nan
nan 4 4 5 7 6 7 8 9 11 12 12 12 12 11 10 8 6 5 5 8 12 15 15 13 11 9 11 13 15 14 13 10 10 11 13 15 14 15 14 14 14 13 11 9 7 8 9 10 10 11 11 12 12 11 10 10 10 10 10 10 10 10 9 10 10 9 9 10 11 10 9 11 12 13 12 11 10 9 9 9 9 10 9 9 9 11 11 10 9 9 9 9 10 10 9 9 9 10 10 10 9 9 9 8 7 8 8 13 15 13 12 12 11 10 10 11 10 9 nan
nan 7 6 7 8 8 8 8 9 10 11 11 11 10 10 9 7 5 4 4 5 8 11 12 11 10 9 12 14 14 14 13 11 12 13 15 16 18 18 16 15 14 13 12 10 9 9 8 9 10 11 12 12 12 11 11 11 10 11 9 9 11 11 10 10 11 10 10 10 10 10 9 10 11 12 12 12 11 10 10 9 9 9 10 10 10 11 12 10 9 9 9 10 10 10 10 9 9 9 10 9 8 9 9 10 9 8 10 14 13 12 12 11 10 10 10 10 10 9 nan
nan 8 8 9 9 9 8 8 8 9 9 10 10 9 9 8 7 7 6 6 6 8 12 13 12 11 11 14 15 14 13 13 14 15 17 18 20 20 18 16 14 13 13 13 11 11 10 8 9 10 11 11 12 12 12 11 11 11 12 10 9 11 10 10 10 11 10 10 10 10 10 9 9 9 10 10 11 10 10 10 10 8 8 10 10 9 10 11 10 9 9 9 9 9 9 10 10 9 9 10 9 8 9 9 9 10 9 11 14 13 13 12 11 10 10 10 10 10 9 nan
nan 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 10 10 11 11 11 13 15 14 12 11 13 15 15 14 13 13 16 17 19 20 19 19 16 14 13 13 13 13 13 11 10 9 9 10 11 12 12 11 11 12 11 11 11 11 9 10 11 11 11 10 10 10 10 11 10 9 9 8 9 9 9 9 10 11 9 8 9 11 12 10 10 10 10 10 10 10 9 9 9 11 11 10 8 8 9 9 8 9 9 10 11 13 15 15 14 13 12 10 10 11 12 11 9 nan
nan 9 9 8 7 6 7 7 7 7 8 8 8 9 11 12 14 16 17 16 15 15 14 13 12 12 14 14 13 12 12 14 16 18 19 19 18 16 14 13 12 13 13 12 13 13 11 10 9 10 12 12 11 11 11 11 11 11 10 10 10 10 11 12 12 11 10 9 10 10 10 10 9 9 8 8 8 9 10 11 8 6 9 12 12 12 11 11 11 10 10 11 11 10 9 10 11 11 10 9 9 8 8 9 8 8 9 15 17 16 14 13 13 11 12 12 13 12 8 nan
nan 9 9 9 8 7 7 7 8 8 9 9 9 9 10 12 14 16 17 17 15 14 14 14 13 13 13 11 11 12 13 15 16 16 16 17 16 15 14 12 13 13 12 13 13 13 12 11 10 10 10 11 11 12 11 11 10 10 11 10 9 9 10 12 12 12 12 10 10 10 10 10 9 9 9 9 10 10 10 9 7 6 8 11 11 11 11 11 11 10 10 11 12 12 10 9 10 10 10 9 9 8 8 8 7 7 7 13 17 15 14 14 13 13 13 13 14 13 9 nan
nan 7 8 8 8 7 7 7 8 7 7 7 6 7 8 8 9 11 12 13 15 16 16 14 13 13 12 11 11 12 15 16 16 15 15 15 15 14 13 13 13 13 13 12 12 12 12 11 10 10 11 11 11 11 11 11 10 10 11 11 10 9 9 11 12 13 12 11 10 10 10 10 9 9 8 8 10 10 10 10 8 7 9 11 10 9 10 10 10 10 9 9 11 13 13 12 10 10 10 10 10 8 8 8 8 7 8 12 14 14 15 14 14 14 14 14 14 12 7 nan
nan 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 11 15 16 15 13 11 11 11 11 12 15 17 17 16 14 14 14 14 14 13 13 13 13 13 12 12 11 11 11 10 10 11 11 11 11 11 11 11 11 12 11 10 9 8 10 12 12 12 12 11 10 10 9 8 9 8 7 8 8 9 9 8 9 11 11 10 9 10 10 10 10 9 8 9 11 13 15 14 11 10 9 9 9 9 9 9 9 10 10 11 13 15 15 15 15 16 16 15 11 5 nan
nan 10 9 10 9 9 8 8 8 9 10 11 11 10 9 9 8 9 11 12 14 14 13 11 11 11 12 12 14 17 19 18 15 14 13 13 13 12 13 14 14 13 12 12 12 11 11 11 10 9 9 10 11 11 11 11 11 11 12 12 11 10 9 9 11 11 11 11 11 11 10 8 7 8 8 8 8 8 8 8 7 9 12 11 9 9 10 10 10 10 9 8 9 9 11 13 15 13 11 9 8 8 9 9 10 11 11 10 10 13 16 15 16 16 17 17 15 10 5 nan
nan 12 11 11 11 10 9 9 9 10 11 11 12 11 11 11 11 12 12 11 11 11 12 11 11 12 13 14 16 18 18 16 14 13 12 12 13 12 13 14 14 13 12 12 12 11 11 10 11 9 8 9 10 11 11 11 11 11 11 12 12 11 10 9 10 11 12 11 12 11 9 7 6 7 9 9 8 8 9 8 7 9 12 11 9 8 10 11 10 9 9 8 9 10 10 10 13 13 12 10 8 7 7 8 9 11 12 11 11 13 15 15 15 16 16 16 12 6 3 nan
nan 11 12 12 11 10 10 9 9 10 10 10 10 10 10 11 11 12 10 8 7 7 8 11 13 14 15 16 16 17 15 14 13 12 11 11 12 13 13 14 14 13 12 11 11 11 11 11 13 12 9 9 10 11 11 12 11 10 10 11 12 11 11 10 10 11 11 11 12 11 8 6 6 6 8 9 9 9 9 8 8 10 12 11 9 9 9 10 10 10 10 9 10 11 10 10 11 12 12 11 9 7 7 8 9 9 11 11 11 13 14 14 15 15 16 15 8 2 -0 nan
nan 11 11 11 10 10 10 10 10 9 10 10 10 10 10 11 11 12 12 10 7 6 7 10 12 15 16 16 15 14 14 13 12 11 11 11 12 13 13 13 13 13 12 10 10 9 10 11 13 12 11 10 10 11 11 12 11 9 8 9 11 12 12 11 10 10 11 11 11 9 7 7 7 8 9 9 8 8 8 9 8 9 10 10 10 10 10 10 10 10 11 11 12 11 10 9 10 10 11 12 11 8 7 10 11 9 10 11 11 13 15 15 15 15 16 14 8 0 -4 nan
nan 11 11 11 11 11 12 12 12 12 13 13 13 13 13 14 14 14 14 14 13 11 10 11 13 16 16 15 14 13 13 12 11 10 10 11 12 14 13 13 12 11 11 9 9 9 9 10 12 12 12 11 10 11 11 11 10 8 5 5 10 17 19 15 10 9 11 10 9 7 7 8 9 10 10 10 8 7 9 10 9 9 8 8 8 9 11 11 10 11 11 12 13 12 10 8 9 10 10 11 12 10 8 10 11 9 9 10 10 13 17 18 17 15 16 14 9 1 -7 nan
nan 10 10 10 10 11 13 14 15 15 16 16 15 14 14 14 14 15 16 17 17 16 15 14 15 16 16 14 14 13 12 11 10 10 10 11 12 14 13 12 11 10 9 9 10 10 10 9 10 11 11 11 12 12 11 11 10 8 3 -1 6 19 27 22 12 9 10 10 8 6 7 9 10 10 8 8 9 10 12 13 11 8 8 7 6 8 11 11 11 11 12 12 12 14 12 8 7 9 10 11 12 11 9 9 10 9 8 9 9 12 19 21 18 16 15 13 9 2 -6 nan
nan 13 11 10 10 11 12 14 15 16 17 16 15 14 13 12 13 15 17 18 19 19 17 15 15 16 16 16 14 12 11 10 10 10 11 12 13 13 12 11 10 9 9 9 10 10 11 11 10 10 10 11 12 14 14 14 12 10 4 0 5 15 24 22 15 11 10 11 10 8 7 8 9 9 8 8 10 12 13 13 10 9 8 6 5 8 11 12 11 10 11 12 12 15 14 9 7 8 9 9 12 12 11 10 11 9 8 8 6 11 19 22 20 16 15 13 9 4 -3 nan
nan 17 15 13 11 11 11 12 13 14 14 15 15 14 15 14 14 15 15 16 17 18 17 15 15 16 17 17 14 12 11 9 10 11 12 12 13 13 11 10 9 8 9 9 10 11 12 13 13 12 11 12 13 13 15 15 14 12 9 5 6 11 16 18 14 12 10 10 11 11 9 8 7 8 10 10 12 13 12 11 10 10 9 7 5 8 11 12 12 10 8 8 9 13 15 11 9 9 10 10 11 12 11 11 11 11 10 9 7 10 17 22 21 17 14 12 10 6 -0 nan
nan 17 16 15 14 12 11 11 11 12 12 13 14 15 16 16 15 15 13 11 11 13 14 14 15 16 17 16 14 12 10 9 10 12 13 13 13 11 10 8 7 8 9 10 11 14 15 16 16 14 14 14 14 14 13 14 14 14 12 9 8 9 11 14 15 12 10 8 9 11 11 11 9 9 11 12 13 13 13 12 12 11 9 8 8 10 12 11 11 11 9 8 7 10 13 13 11 11 12 12 12 12 12 12 11 10 13 14 10 10 15 21 23 17 13 12 11 9 3 nan
nan 12 14 14 13 12 11 11 11 12 12 13 15 16 17 17 16 16 15 11 9 10 12 15 15 16 15 14 13 12 10 10 11 12 13 13 12 10 8 6 6 8 10 13 15 17 18 17 17 15 14 14 14 13 12 13 13 14 15 13 10 8 8 10 14 16 14 11 10 11 11 12 12 11 11 12 13 14 14 14 14 12 9 9 11 13 13 11 9 10 10 9 8 9 11 11 11 11 13 14 13 12 13 12 10 10 13 15 12 9 14 21 24 17 12 12 11 10 5 nan
nan 9 10 11 11 12 13 14 15 15 15 15 15 16 18 17 16 16 17 16 14 13 13 15 16 16 14 13 12 11 10 11 12 13 13 12 10 8 6 5 7 9 13 17 19 19 18 17 16 15 15 14 14 12 12 12 13 14 14 14 11 8 6 6 11 16 18 16 14 13 12 12 11 10 11 11 12 13 13 14 15 13 9 10 14 15 14 12 10 10 10 9 8 9 10 10 9 9 11 13 13 12 13 12 10 10 13 16 13 7 10 18 24 19 12 11 11 10 7 nan
nan 10 10 10 11 11 13 16 17 18 18 17 17 17 17 17 16 15 15 15 16 15 15 15 16 14 13 12 11 10 9 10 12 12 12 11 9 7 6 6 9 14 18 20 20 19 17 16 15 14 14 14 14 13 12 12 12 13 13 12 11 8 5 4 7 13 16 18 16 15 13 12 12 11 11 12 12 11 10 12 14 14 12 11 14 14 14 13 12 11 10 9 9 10 11 10 10 9 9 10 11 12 14 15 12 11 13 17 15 8 8 12 21 24 17 14 12 11 8 nan
nan 14 12 11 10 10 12 15 17 18 18 17 16 16 15 15 14 14 13 14 15 16 16 16 15 13 12 11 10 9 9 10 11 12 12 10 8 7 8 10 13 18 19 19 19 17 16 15 14 13 13 13 14 14 13 13 13 12 12 11 10 9 7 5 7 10 13 15 15 14 14 13 12 11 12 11 11 9 9 10 12 14 13 12 12 13 14 15 13 12 12 12 11 11 13 13 12 11 9 9 9 10 12 15 15 13 12 14 16 15 12 8 14 24 22 17 13 12 10 nan
nan 16 14 11 10 11 12 13 16 18 19 16 14 13 13 14 14 14 14 14 15 16 16 16 15 14 12 11 10 9 10 10 11 11 10 8 7 7 10 16 18 18 18 18 18 17 16 15 14 12 12 12 13 15 14 13 13 13 12 12 11 11 10 8 7 9 11 13 13 14 15 15 14 13 12 11 10 8 7 8 10 12 14 12 10 9 11 15 14 11 11 12 11 11 12 13 14 13 10 8 8 8 9 12 14 15 13 11 15 21 19 10 6 18 25 21 14 12 12 nan
nan 16 15 13 11 12 13 14 15 17 17 16 15 14 14 16 16 16 16 16 16 15 15 15 16 15 14 12 10 10 11 11 11 10 9 7 7 10 14 17 18 18 17 17 17 16 15 15 13 12 10 11 12 14 13 13 13 13 13 13 13 12 12 11 9 9 10 12 14 15 16 16 16 15 13 11 10 9 8 7 8 11 12 10 7 5 6 11 12 9 9 10 11 9 9 10 11 13 12 10 8 8 9 10 12 13 13 12 15 21 24 15 4 13 28 26 15 12 11 nan
nan 16 15 14 13 14 15 16 16 17 18 18 17 17 17 18 18 18 17 16 16 16 16 17 18 18 17 14 12 11 12 12 12 10 8 8 10 13 16 18 18 17 17 16 16 16 14 13 12 12 11 10 12 12 12 12 12 12 13 13 13 12 12 12 11 11 11 11 13 14 15 15 16 16 14 12 10 9 9 10 11 13 14 9 5 3 4 6 9 9 8 8 9 10 9 9 8 9 10 10 10 9 9 10 11 12 12 11 13 16 18 20 17 17 28 26 17 13 12 nan
nan 17 16 16 16 17 17 17 18 18 19 20 19 18 18 18 19 18 16 15 15 16 18 20 21 22 21 18 15 13 13 13 12 11 9 11 13 15 16 17 17 16 16 16 16 15 13 12 11 11 12 12 12 12 11 11 11 12 13 14 13 12 11 12 12 11 11 11 11 11 11 11 12 13 13 12 9 6 6 8 12 16 16 12 8 5 4 5 7 7 8 9 10 11 10 8 8 8 9 9 9 9 9 9 10 11 12 13 13 13 10 11 20 26 31 29 22 16 14 nan
nan 17 17 17 17 18 17 17 18 18 19 20 20 20 19 19 19 18 16 14 14 16 19 21 21 22 23 22 19 16 14 14 13 13 13 14 15 16 16 16 17 17 16 15 14 14 13 12 11 12 12 12 12 11 11 11 11 12 14 14 13 12 12 12 12 12 12 10 9 9 8 7 7 9 11 11 10 6 3 5 8 13 15 13 11 9 8 7 7 8 9 10 11 11 10 9 8 9 11 11 9 9 8 8 7 9 12 14 15 15 12 8 9 16 25 29 26 18 12 nan
nan 17 16 16 17 17 16 16 17 17 18 19 20 21 21 20 19 18 16 13 12 14 16 18 20 20 21 21 19 17 16 16 16 16 16 16 16 16 16 16 17 17 16 15 14 13 12 11 11 12 13 12 11 12 12 12 12 12 14 13 12 12 13 13 13 13 12 11 9 10 10 8 6 7 10 11 10 7 5 6 7 8 10 10 11 11 10 9 8 9 10 10 10 10 9 9 7 8 10 11 11 10 9 9 8 10 12 14 16 16 15 13 11 11 13 17 21 17 7 nan
nan 16 16 15 15 15 15 15 16 17 18 18 19 19 20 19 17 16 15 12 10 11 14 16 19 20 20 19 18 17 17 16 16 15 16 16 15 15 15 15 15 16 16 15 14 13 11 10 11 12 13 12 12 12 13 13 12 13 13 12 12 11 12 14 14 14 13 12 9 10 12 12 9 9 11 12 10 9 8 8 8 8 8 9 9 9 10 10 9 9 9 9 8 8 7 7 7 7 9 11 12 11 9 9 10 12 13 14 14 14 14 13 12 14 15 15 16 16 11 nan
nan 16 17 16 16 15 15 16 17 17 18 18 18 18 17 16 14 13 11 10 9 9 11 14 18 20 20 20 19 18 17 15 14 13 14 15 14 13 12 13 14 14 14 13 13 12 11 10 11 12 13 13 12 12 12 13 12 13 12 11 11 11 11 12 13 14 14 13 10 9 10 12 12 11 12 12 11 10 10 9 8 8 8 9 10 8 9 10 10 10 9 8 7 6 7 8 10 10 10 11 11 9 10 10 11 12 12 13 12 12 11 10 10 12 15 18 17 16 14 nan
nan 16 16 17 17 17 17 17 18 18 18 18 17 17 16 15 13 11 10 9 8 9 10 13 16 17 18 19 19 19 17 16 15 14 16 16 15 14 12 12 13 13 12 12 11 10 11 11 11 11 12 13 13 12 11 12 13 13 12 11 10 11 13 13 12 13 15 14 11 10 9 10 11 12 12 12 12 10 9 9 9 8 8 9 10 9 9 9 10 9 9 8 8 7 7 9 12 13 12 11 11 9 10 11 11 11 11 11 12 12 11 10 9 9 12 15 15 16 15 nan
nan 16 16 17 18 19 20 20 19 19 18 18 18 17 17 16 14 12 11 9 9 9 10 12 13 15 16 16 16 17 17 16 16 17 18 18 18 15 14 12 11 11 11 11 11 11 11 11 12 12 12 13 13 12 11 12 13 14 13 11 10 12 13 12 10 12 15 15 12 10 9 10 11 11 11 12 13 12 9 9 8 8 8 8 9 9 9 8 8 9 9 9 9 10 10 11 12 12 12 11 10 10 10 11 11 11 10 10 11 11 11 9 8 8 9 11 13 14 15 nan
nan 16 17 17 18 20 22 22 21 20 19 18 18 18 17 15 14 13 11 9 9 9 10 11 12 13 14 14 14 14 15 16 17 18 19 20 19 18 17 15 13 11 11 11 11 12 13 13 13 13 13 13 13 12 11 12 13 14 14 12 12 12 11 8 8 9 13 15 12 10 9 9 10 11 11 12 13 12 11 10 9 9 9 8 8 9 8 8 8 8 8 8 9 10 10 11 11 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 9 10 11 13 15 14 13 nan
nan 16 16 16 17 18 19 20 21 21 19 19 18 18 16 14 13 12 10 10 8 8 10 10 12 12 12 12 12 13 14 16 17 18 19 20 21 21 21 19 16 14 12 11 11 13 14 14 14 14 13 13 12 12 11 11 12 14 14 13 14 14 11 9 9 9 12 14 13 11 9 9 9 11 13 13 13 13 12 11 9 10 11 10 8 9 10 9 8 7 7 9 9 9 9 10 9 9 10 10 10 9 8 9 9 9 8 8 9 11 14 16 16 17 21 23 22 17 11 nan
nan 16 15 14 15 15 16 17 18 18 18 17 17 17 15 13 12 11 10 9 8 8 9 10 11 11 11 11 12 13 13 15 17 17 18 20 22 23 23 23 20 17 14 13 12 14 15 15 15 15 14 13 13 12 12 12 12 12 12 13 14 15 14 12 11 11 11 13 13 12 11 10 8 8 11 18 24 26 24 21 17 16 14 12 9 10 15 16 13 11 10 9 10 10 10 10 9 10 10 10 10 10 9 8 8 8 8 8 8 15 24 28 23 22 26 25 23 18 12 nan
nan 12 12 12 13 14 14 14 14 14 14 14 14 14 13 13 11 9 8 8 7 8 9 9 9 10 10 10 10 11 12 14 15 16 17 19 21 23 23 24 23 20 18 15 15 15 16 17 16 15 16 14 13 12 12 13 12 12 12 12 13 15 15 13 12 11 11 12 13 12 13 12 8 2 -1 2 19 33 38 37 35 33 29 23 13 11 20 26 25 23 23 18 12 12 15 15 13 13 11 10 10 10 10 10 10 9 8 8 14 27 33 31 23 19 19 18 17 15 15 nan
nan 10 10 11 11 12 12 12 12 12 12 11 11 11 11 11 9 7 7 8 9 10 9 10 9 9 9 9 9 9 10 12 13 14 15 17 19 21 22 24 25 23 21 19 17 17 17 17 17 17 17 15 13 13 13 14 13 13 12 12 13 14 14 14 13 12 12 12 12 12 13 13 10 1 -9 -16 -10 10 26 32 37 42 43 37 23 17 25 33 34 33 34 32 26 24 28 28 24 19 15 12 11 10 11 10 13 18 21 25 35 40 36 27 18 16 16 15 15 15 16 nan
nan 11 10 11 11 12 12 12 11 11 11 11 11 10 10 10 9 8 8 8 9 10 10 10 10 9 9 9 9 9 9 10 11 11 13 14 16 18 20 22 24 25 24 23 20 18 17 16 17 18 17 16 14 13 13 14 15 15 14 13 13 13 15 15 14 13 13 13 12 11 11 13 11 5 -3 -13 -21 -15 -0 9 16 25 33 33 26 20 24 29 32 32 31 31 29 31 36 36 31 25 20 15 13 11 11 8 15 30 40 45 45 39 28 19 15 14 15 16 15 15 16 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 6 6 5 4 2 2 2 2 3 4 6 8 9 9 9 8 8 9 12 16 18 21 26 30 35 39 43 48 53 57 60 60 72 81 87 90 94 100 105 109 107 103 99 96 89 96 102 98 94 94 95 95 96 96 96 100 108 115 114 112 108 99 84
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 5 4 3 3 3 4 4 5 7 9 12 12 11 9 6 6 8 14 15 16 20 24 27 34 41 49 56 61 65 67 79 86 90 93 97 102 108 110 106 102 97 93 87 88 92 91 88 86 85 84 85 86 86 89 96 109 109 106 102 101 98
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 5 4 5 5 5 5 6 8 8 10 12 13 12 9 7 5 5 9 11 13 17 21 23 30 39 49 58 64 68 73 80 85 90 94 99 104 109 109 105 101 98 92 85 84 84 82 78 76 77 75 74 76 78 78 83 101 102 98 96 100 101
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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 6 7 6 6 5 5 6 6 7 8 9 9 8 8 6 5 8 10 13 17 20 23 30 39 50 58 64 67 72 77 81 86 92 99 104 107 108 105 102 98 92 86 80 75 71 68 66 70 66 65 68 72 72 76 92 96 96 99 99 90
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 4 3 3 3 4 5 7 8 8 8 8 7 7 8 10 13 18 22 26 33 42 49 54 59 64 69 73 76 80 87 98 104 107 108 106 103 98 93 87 79 70 64 62 59 59 57 57 61 66 69 71 80 89 97 103 102 91
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 3 4 6 7 7 8 7 7 7 8 10 13 16 23 26 31 36 40 47 53 60 65 69 72 75 80 94 100 103 104 103 102 96 92 85 77 70 64 58 54 51 51 52 54 58 62 63 71 80 90 96 92 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 0 0 0 0 0 0 0 0 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 7 7 7 6 7 9 11 12 14 19 20 23 26 32 40 49 59 63 67 70 73 77 87 93 98 101 102 101 95 89 83 78 72 64 56 52 51 49 48 49 53 52 53 60 68 81 91 82 82
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 7 7 7 7 9 10 11 11 13 14 18 24 30 38 47 58 63 65 66 68 72 80 85 91 97 100 100 94 86 79 75 69 60 50 49 50 47 43 45 52 42 46 50 54 64 78 76 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 2 4 6 7 8 8 8 8 9 10 10 9 10 13 18 23 29 35 45 54 59 62 63 64 66 71 77 83 90 95 96 90 81 74 67 61 53 43 43 44 42 39 40 43 35 39 42 47 54 58 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 2 4 6 8 10 10 11 11 11 10 10 10 12 16 19 22 26 33 40 48 55 59 61 60 61 65 70 77 84 88 90 86 79 71 63 55 46 39 36 36 35 34 34 34 32 33 34 37 43 47 54 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 1 3 6 8 10 12 13 13 13 12 12 12 14 17 19 22 28 34 38 44 52 57 60 61 60 64 68 73 79 83 84 83 79 72 63 53 43 36 32 30 29 30 30 29 30 32 31 30 33 38 46 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 1 3 5 7 9 10 13 14 15 16 15 15 15 16 19 25 32 35 39 43 48 53 57 59 60 62 66 70 75 80 83 84 81 75 66 54 42 33 28 26 26 26 26 27 27 30 29 26 28 31 40 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 1 3 4 6 7 9 12 14 15 17 17 16 16 18 22 27 32 34 39 41 44 48 52 55 57 58 61 65 70 76 82 84 83 77 68 58 46 34 27 24 24 24 23 26 26 26 26 26 28 30 35 41
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 5 7 10 12 14 16 16 16 17 20 24 26 28 30 34 38 41 44 48 52 54 55 56 59 63 69 77 80 80 77 70 61 50 39 30 25 24 23 23 25 25 24 24 24 27 29 32 37
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 7 10 12 14 16 16 18 21 22 24 25 27 31 34 37 40 44 48 51 52 53 55 58 63 70 71 73 73 68 61 53 44 36 30 27 26 26 26 25 24 23 23 25 26 28 32
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 17 18 19 20 22 24 26 29 32 35 38 40 44 48 50 52 54 56 59 64 67 68 69 66 60 53 46 40 34 31 29 28 27 25 23 22 21 20 22 24 27
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 16 18 19 20 22 23 24 26 31 34 35 36 40 44 48 51 54 56 59 62 64 67 68 67 61 53 47 42 39 37 33 30 28 26 23 20 17 17 18 20 23
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 15 18 19 19 20 22 23 24 27 31 33 35 38 41 44 48 53 57 60 62 62 62 64 66 63 56 49 44 42 42 36 32 30 28 26 20 16 15 16 19 22
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 16 17 18 19 21 22 23 24 26 29 34 37 40 42 45 50 54 59 61 60 59 60 62 63 57 50 45 42 44 39 34 30 28 26 20 16 14 15 18 20
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 16 17 18 20 21 21 21 21 24 30 34 38 41 42 44 49 54 57 56 54 55 55 54 50 45 42 39 40 40 36 30 26 24 21 17 14 14 16 19
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 14 17 18 20 19 19 18 18 19 23 29 34 37 38 39 42 46 48 47 47 51 51 46 41 38 37 37 38 38 36 30 24 22 20 16 14 14 16 19
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 16 18 18 17 17 16 16 16 18 22 27 31 32 33 34 37 39 40 42 47 45 37 31 31 35 37 37 38 35 30 23 20 17 14 12 13 15 20
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 16 16 16 15 15 15 16 16 16 18 20 23 26 27 28 29 32 35 38 42 46 43 34 27 30 34 35 36 33 28 23 20 16 13 11 11 14 19
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 13 14 15 14 13 13 14 14 14 14 14 15 17 19 23 24 25 26 30 34 39 43 43 36 23 21 27 31 32 30 27 23 19 16 13 11 10 12 16
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 14 14 13 12 11 12 12 12 12 11 10 10 11 16 18 20 22 25 30 35 36 36 32 22 19 23 26 27 26 23 20 18 16 14 12 10 11 13
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 11 13 13 12 11 10 9 8 8 7 6 5 4 4 7 11 15 18 21 25 28 29 29 27 23 20 22 24 25 22 20 17 16 15 14 12 10 10 11
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 12 13 11 9 6 5 4 3 2 2 1 1 1 2 5 8 11 15 19 20 21 20 20 18 18 20 22 23 21 19 16 15 14 13 12 10 9 8
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 10 10 8 6 4 2 1 0 0 0 0 0 0 1 2 4 7 11 14 14 14 13 12 12 13 16 18 19 18 17 15 14 13 12 11 9 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 4 4 3 1 0 0 0 0 0 0 0 1 2 3 4 6 10 10 10 9 9 9 10 11 13 14 15 14 12 10 9 9 9 8 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 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 2 3 5 6 7 7 8 8 9 9 10 12 11 9 6 4 3 4 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 5 5 7 7 8 10 11 8 4 2 0 0 0 2 2 3 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 1 1 1 1 1 2 3 4 6 9 11 5 2 0 0 0 0 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 2 1 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 0 0 0 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 1 0 0 0 0 0 0 0 0 0 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 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 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 0 0 1 2 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 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 1 2 3 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 0 0 0 1 2 3 3 1 1 0 0 0 0 0 0 1 1 1 1 2 3 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 1 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 1 1 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 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 2 1 1 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 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 2 0 0 2 6 9 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 4 1 0 3 8 12 10 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 8 7 4 0 0 0 0 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 0 0 0 0 1 2 4 5 4 3 2 2 6 10 11 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 9 8 5 0 0 1 2 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 6 6 6 5 6 8 10 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 6 8 8 6 2 0 1 2 4 6 6
1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 5 6 6 6 6 6 4 3 2 1 1 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 5 4 3 1 0 1 3 5 6 7
4 4 6 9 11 10 6 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 1 1 0 1 2 2 2 2 2 2 1 1 1 2 3 5 6 5 4 4 4 4 3 2 1 0 0 0 0 1 2 2 1 1 0 0 0 0 1 2 5 6
10 12 15 18 20 17 12 9 6 3 1 1 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 0 0 1 3 6 10 11 11 12 12 12 7 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
20 24 30 32 31 26 20 14 11 9 7 5 3 2 1 1 1 1 0 0 1 2 3 2 2 1 0 2 3 5 5 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 9 11 12 12 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
32 38 44 45 40 34 29 24 20 17 14 12 11 9 7 4 3 3 2 2 2 3 4 4 3 2 1 3 5 7 7 7 7 6 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
46 48 49 48 42 37 32 27 24 22 21 19 17 16 13 10 7 7 6 6 6 6 7 5 3 2 1 3 5 7 7 7 8 8 7 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
44 47 48 46 41 36 31 26 22 22 22 22 21 19 14 11 10 9 7 7 7 6 6 6 5 4 3 4 6 7 7 7 7 8 8 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 0 0 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
38 41 43 42 37 32 26 21 17 16 16 15 14 13 12 9 8 8 6 6 7 7 6 6 6 6 6 7 7 7 7 6 7 7 8 8 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 3 4 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0