Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 8 9 10 10 11 12 13 14 14 15 16 16 16 16 15 14 14 13 13 12 12 12 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 7 7 6 6 5 5 5 5 5 5 5 6 6 7 8 8 8 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 13 13 14 14 14 14 15 15 15 15 15 16 16 16 16 15 15 15 15 15 15 15 15 15 14 14 14 14 14 14 14 14 14 14 13 13 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 10 10 9 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 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 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 9 9 9 9 9 10 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 10 10 10 10 10 11 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 9 8 8 9 9 9 9 9 8 8 8 8 8 10 12 13 14 15 14 13 12 11 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 13 18 22 24 22 18 14 11 10 9 8 8 8 9 10 11 10 10 9 9 10 12 14 17 17 16 13 8 6 7 9 11 12 11 10 9 8 8 7 nan
nan 8 8 9 9 10 11 11 13 14 14 15 15 16 16 15 15 15 14 14 13 13 12 11 11 11 11 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 7 7 8 8 9 10 10 10 10 11 11 10 10 10 10 10 10 9 9 8 8 7 7 7 7 7 7 7 6 5 5 4 4 4 4 5 5 6 6 7 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 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 12 12 13 13 13 13 14 14 14 14 14 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 9 9 9 8 9 9 9 9 9 8 8 8 8 8 8 8 8 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 11 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 10 9 9 8 8 8 9 9 9 9 8 8 8 8 8 10 11 12 14 14 14 13 12 11 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 12 15 20 23 22 20 16 12 11 10 9 9 9 9 10 11 11 10 9 9 9 11 14 15 16 16 13 9 8 8 9 10 9 9 8 8 7 7 7 nan
nan 9 9 10 11 11 12 13 14 14 15 15 15 15 15 15 14 14 13 13 13 12 11 11 11 11 11 11 10 10 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 7 8 8 8 9 10 10 11 11 11 11 11 10 10 10 10 9 9 8 8 8 7 7 6 6 6 6 6 5 5 5 4 4 4 5 6 6 7 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 11 11 10 10 11 11 11 12 12 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 14 14 14 14 14 14 14 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 12 12 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 9 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 11 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 9 9 8 8 8 9 9 9 9 9 8 8 8 8 9 10 11 12 13 13 13 12 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 7 7 7 8 8 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 14 18 21 23 21 17 14 12 11 10 9 9 9 10 11 11 10 10 9 9 11 12 14 14 13 11 9 8 8 8 7 7 7 7 6 6 5 5 nan
nan 10 10 11 12 13 13 14 15 15 15 15 15 14 14 14 13 13 13 12 12 11 11 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 10 10 10 11 11 10 10 10 10 10 9 9 9 8 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 6 7 8 8 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 11 10 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 14 14 14 14 14 14 15 15 15 15 15 15 15 16 16 16 16 15 15 15 15 15 15 15 15 15 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 12 12 12 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 10 11 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 10 10 9 9 9 10 10 10 11 11 10 10 9 9 8 8 9 9 9 9 9 8 8 8 8 8 8 9 10 11 11 12 12 11 11 11 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 7 7 8 8 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 12 16 19 22 22 20 16 14 11 10 9 9 9 10 11 11 11 11 10 10 11 12 13 12 11 9 8 8 7 7 7 6 7 7 6 5 3 2 nan
nan 11 12 13 13 14 14 15 15 15 14 14 14 14 13 13 13 12 12 11 11 10 10 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 8 8 7 6 6 6 5 5 5 5 5 5 5 6 6 6 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 13 14 14 14 14 15 15 15 15 16 16 16 16 15 15 15 15 15 15 15 15 15 15 15 15 15 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 12 11 11 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 11 11 11 11 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 10 10 10 10 10 10 10 11 11 11 11 12 12 11 11 11 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 9 9 8 8 7 7 7 7 8 8 9 9 10 11 11 11 11 11 10 10 9 9 9 9 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 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 13 17 21 22 21 19 15 12 11 10 10 10 10 10 11 11 12 12 12 12 12 12 11 10 8 7 7 8 8 8 9 9 9 8 5 1 -0 nan
nan 12 13 14 14 15 15 15 15 14 14 13 13 13 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 5 5 5 5 5 5 5 5 6 7 7 8 8 8 7 7 7 8 8 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 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 9 9 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 14 14 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 14 14 14 13 13 13 13 13 13 13 13 13 14 14 13 13 13 13 13 13 13 13 13 13 12 12 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 9 9 9 10 10 10 10 10 11 11 11 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 8 9 9 9 9 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 8 7 7 7 7 7 7 7 8 8 9 10 11 11 11 11 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 10 12 15 19 22 22 20 16 14 12 12 11 10 10 10 11 12 12 11 11 11 11 11 11 10 8 7 8 8 10 11 11 12 12 10 7 3 0 nan
nan 13 14 14 15 15 15 15 14 14 14 13 12 12 12 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 9 9 9 8 8 8 7 7 6 6 6 5 5 5 5 5 6 6 6 6 5 5 5 5 5 6 6 6 7 8 8 8 9 9 8 8 7 7 7 8 8 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 14 14 14 14 14 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 14 14 14 14 13 13 13 13 13 13 13 13 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 8 8 9 10 11 11 11 11 11 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 10 11 15 18 22 23 21 18 15 13 12 11 10 10 10 11 12 11 11 10 9 9 9 10 9 9 9 9 9 10 11 12 13 13 12 9 6 3 nan
nan 14 14 14 15 15 15 14 14 14 13 12 12 11 11 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 5 5 4 4 3 3 4 4 4 5 5 6 6 6 6 6 6 7 7 7 7 8 8 9 9 9 9 9 8 7 7 7 7 8 9 9 9 8 8 8 8 8 9 9 9 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 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 11 11 11 12 12 13 13 13 13 13 13 14 14 14 14 14 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 12 12 12 12 12 11 11 10 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 7 7 7 7 8 8 9 10 11 11 12 12 11 11 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 9 10 10 11 14 17 22 23 22 19 16 12 11 10 10 10 11 11 12 11 11 9 9 8 8 9 9 10 10 10 10 9 10 10 11 12 11 10 7 5 nan
nan 14 14 14 14 14 14 14 14 13 13 12 11 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 6 6 5 4 4 4 4 4 4 4 5 5 5 6 6 6 7 7 7 7 7 7 8 8 8 9 9 9 9 9 8 8 7 7 7 7 8 9 9 9 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 13 13 13 13 14 14 14 14 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 11 11 12 12 12 12 11 11 10 10 9 9 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 8 9 9 10 10 11 12 12 12 12 12 11 11 10 9 9 9 8 8 9 9 9 9 9 9 9 10 11 11 11 10 9 9 8 7 7 7 7 8 9 10 10 11 11 12 12 11 11 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 14 17 22 23 22 19 15 12 10 10 9 9 10 11 12 12 12 10 9 9 8 9 9 10 10 10 10 9 8 8 10 10 11 10 8 7 nan
nan 14 14 14 14 13 13 13 13 12 12 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 4 4 4 4 4 5 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 9 8 8 8 7 7 7 7 7 8 9 9 9 9 8 8 8 8 9 9 8 8 8 8 8 8 9 9 9 8 8 7 7 7 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 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 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 13 13 14 13 14 14 14 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 14 14 14 14 14 14 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 13 12 12 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 11 11 11 12 12 11 11 11 10 10 9 9 8 8 9 9 9 9 9 9 9 10 11 12 12 11 10 9 9 8 7 7 7 8 8 9 10 11 11 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 5 5 4 4 5 5 6 6 7 7 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 11 13 18 21 23 22 19 15 12 11 10 8 8 9 10 12 13 13 12 11 10 9 9 9 9 9 8 8 7 7 7 9 10 10 10 9 9 nan
nan 14 14 14 13 13 13 13 12 12 11 11 11 10 10 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 7 6 6 5 5 4 5 4 4 4 4 4 5 5 5 6 6 6 7 7 7 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 9 9 9 9 8 8 8 8 9 9 9 8 8 8 8 9 9 9 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 13 13 13 14 14 14 14 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 14 14 14 14 14 14 14 14 14 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 12 12 12 12 12 12 13 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 11 11 11 11 11 10 10 9 9 9 8 8 9 9 9 9 9 9 10 11 12 12 11 10 9 8 8 7 7 7 7 8 9 9 11 11 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 6 6 6 5 4 4 4 4 5 6 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 9 9 10 10 10 11 13 17 21 23 22 19 15 13 11 9 8 8 8 10 13 14 14 13 12 12 11 10 10 8 7 6 5 5 6 7 8 9 10 10 10 10 nan
nan 13 14 13 13 13 12 12 12 11 11 11 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 5 4 4 3 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 6 6 7 7 7 7 7 7 7 7 8 8 8 7 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 9 9 9 9 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 9 10 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 13 13 13 14 14 14 14 14 14 14 14 14 14 15 15 15 15 15 15 15 15 15 14 14 14 14 14 14 14 14 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 12 12 12 12 12 12 13 13 13 14 14 14 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 11 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 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 9 8 8 7 7 7 7 8 9 9 10 11 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 6 6 6 5 4 4 4 5 5 6 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 13 16 20 23 22 19 15 12 10 8 7 7 8 11 13 14 14 14 13 12 12 11 10 9 7 5 5 5 6 8 9 10 10 11 11 12 nan
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nan 18 21 21 22 22 23 24 25 27 27 28 28 28 28 28 28 28 28 28 28 28 27 26 26 26 26 26 25 24 23 22 22 22 22 21 21 21 20 20 20 20 20 19 19 19 19 19 19 19 19 19 19 19 18 18 18 18 18 18 18 17 17 17 17 17 17 17 17 17 17 17 17 17 16 16 16 16 16 16 16 16 16 16 16 15 15 15 14 14 15 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 11 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 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 11 11 12 12 11 12 12 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 15 15 15 16 16 16 17 16 16 16 15 14 14 13 13 12 11 11 11 11 10 10 10 10 10 10 10 10 10 9 10 10 9 9 10 10 9 9 10 10 9 9 9 10 10 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 10 10 11 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 11 12 11 11 11 11 11 11 11 11 11 11 10 10 11 11 10 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 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 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 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 11 11 12 12 nan
nan 19 20 21 23 24 25 26 26 26 27 28 28 28 28 29 28 28 28 28 28 27 27 27 26 25 25 25 24 24 24 23 22 22 22 21 21 21 20 20 20 20 20 19 19 19 19 19 19 19 19 19 18 18 18 18 18 18 18 18 18 18 18 18 18 17 17 17 17 17 17 17 17 17 17 16 16 16 16 16 16 16 16 15 15 15 15 15 15 14 14 14 14 14 14 14 14 14 14 14 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 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 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 11 12 12 12 12 12 11 11 11 11 11 11 11 11 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 10 10 10 10 10 11 11 11 11 12 12 14 14 14 15 15 16 17 16 16 16 15 14 14 14 14 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 9 10 10 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 14 14 14 14 14 14 15 15 14 15 15 15 15 15 14 14 14 14 14 14 13 13 13 13 13 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 12 12 12 13 13 13 12 12 12 12 12 12 12 nan
nan 21 22 23 24 25 26 27 27 28 28 28 28 28 29 29 28 28 28 28 27 26 26 26 26 26 25 24 23 23 23 22 22 22 21 20 20 20 20 20 20 19 19 19 19 19 19 19 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 17 17 17 17 17 17 17 17 16 17 16 16 16 16 16 16 15 15 15 15 15 15 15 15 14 14 14 14 14 14 14 14 14 13 13 14 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 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 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 12 11 11 12 12 12 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 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 14 14 15 16 16 16 16 16 15 15 15 14 13 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 14 14 14 14 15 15 15 15 15 15 16 16 16 16 16 16 16 16 16 15 15 15 15 14 14 14 14 13 13 13 13 13 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 12 12 11 11 11 12 12 12 12 12 12 12 12 13 13 12 12 13 13 12 12 12 12 nan
nan 22 25 25 26 26 27 27 28 29 29 29 29 29 29 28 28 28 28 27 27 27 26 25 24 24 24 24 24 23 22 21 21 21 21 21 20 20 20 19 19 19 19 19 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 17 17 17 17 17 17 17 17 16 16 16 16 16 16 16 15 15 15 15 15 15 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 14 14 14 14 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 13 13 13 13 13 12 12 13 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 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 14 15 15 15 15 15 16 16 16 15 14 13 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 13 13 13 13 14 14 14 15 15 15 15 16 16 16 16 16 16 16 16 16 16 16 16 16 16 15 15 15 15 15 15 14 14 14 14 13 13 13 13 13 12 12 11 11 11 11 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 12 12 12 12 12 12 12 11 11 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 11 12 12 12 12 12 12 12 12 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
8 8 8 7 4 3 2 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 1 1 2 3 3 1 1 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 2 3 4 5 6 7 7 6 6 7 5 4 4 3 3 3 3 3 3 4 5 7 8 8 8 8 8 8 9 10 11 12 11 11 11 12 12 12 13 13 13 13 12 13 13 13 12 12 12 11 10 11 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 9 11 11 12 12 12 12 12 11 11 10 10 9 9 9 8 8 8 8 7 7 8 8 7 6 5 5 4 4 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 1 1 2 2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 1 1 2 3 3 4 4 3 2 3 3 3 2 1 1 1 1 1 1 1 2 3 4 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 7 7 6 7 7 8 9 11 12 13 15 16 17 17 18 18 18 17 17 16 16 17 17 17 17 17 17 18 18 18 18 18 20 22 22 22 21 19 16 15 15 15 14 16 17 17 18 19 19 20 19 17 15 14 14 14 14 13 11 9 10 12 15 19 23 24 25 26 27 27 26 26 26 25 24 24 25 24 23 23 23 24 24 22 20 20 21 24 25 26 25 22 20 18 17 17 16 13 10 9 9 11 20 31 39 42 40 37 32 28 24 21 20 20 20 19 17 15 11 9 7 6 5 4 3 3 3 3 4 5 7 10 12 13 15 14 13 12 16 17 19 20 19 16 13 8 4 2 0 2 3 3 4 5 8 12 14 16 17 17 18 19 20 21 21 21 21 21 21 21 19 18 16 14 13 9 8 7 4 1 1 1 1 1 0 0 0 1 2 3 2 2 3 4 6 11 14 14 12 6 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0
7 7 5 5 4 3 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 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 2 3 4 4 6 7 8 8 10 6 5 6 5 4 3 3 3 3 3 3 3 4 4 5 7 7 8 8 8 8 8 8 8 9 10 10 11 11 11 11 11 12 12 12 12 11 11 12 12 11 11 10 10 11 11 11 10 10 11 11 11 11 11 12 12 11 12 11 11 11 12 12 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 11 11 11 10 9 9 8 8 8 7 6 5 4 4 3 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 0 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 3 3 3 3 2 3 3 2 2 2 2 2 1 1 1 2 3 4 5 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 7 7 7 7 7 8 9 11 12 13 14 14 15 15 15 15 16 15 15 16 16 17 18 18 17 16 17 18 17 18 19 21 21 22 23 24 23 20 17 16 15 15 15 15 16 18 19 19 20 20 18 16 15 13 12 12 12 12 10 10 12 14 17 21 22 24 25 26 26 27 27 27 27 26 25 25 25 24 23 23 24 25 24 21 20 21 22 23 25 25 24 23 22 21 19 16 14 11 9 10 12 18 28 37 42 42 36 33 30 27 23 23 23 22 21 20 18 14 11 8 6 4 3 2 2 2 3 3 3 4 6 8 10 14 14 12 13 18 22 23 22 18 12 8 4 2 1 0 1 2 2 3 4 7 10 12 14 15 16 17 18 20 22 22 22 22 22 21 21 20 18 16 15 13 10 8 7 6 3 1 1 0 0 0 0 0 0 1 3 2 1 0 2 5 14 19 20 16 9 5 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0
5 4 4 3 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 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 1 2 3 4 5 5 5 5 5 5 5 6 7 6 4 4 3 3 3 3 3 3 3 3 3 3 4 4 5 6 7 8 9 9 9 9 9 9 9 9 10 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 12 12 13 14 14 14 13 13 13 13 13 13 12 12 13 13 13 13 14 13 13 13 13 13 14 13 13 12 13 13 12 12 12 11 11 10 9 9 8 7 6 5 5 4 3 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 2 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 4 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 9 11 13 13 12 13 13 13 14 14 14 14 15 15 16 18 18 18 17 16 16 15 17 20 21 20 20 22 23 23 21 19 17 16 16 16 15 17 18 19 20 20 21 20 18 17 14 12 11 11 11 10 12 14 14 15 17 20 21 22 24 26 28 28 28 28 28 27 26 25 24 23 22 23 24 24 22 22 22 23 23 23 25 25 25 24 23 22 19 16 13 11 11 13 20 29 38 44 45 41 36 32 28 24 25 24 24 23 21 19 17 14 10 7 4 2 2 2 2 2 1 2 3 4 5 9 12 12 12 15 18 21 21 19 15 10 6 4 2 1 0 0 1 2 3 2 4 8 11 13 14 15 16 18 20 22 23 23 22 22 21 21 20 19 18 16 14 12 9 7 5 3 1 1 1 0 1 1 0 0 0 0 0 0 0 1 6 13 20 23 17 11 6 4 5 4 3 2 1 0 0 0 0 0 0 0 0 0
4 3 3 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 1 2 4 4 5 5 5 4 4 4 4 5 5 4 4 3 3 3 3 3 3 3 3 3 3 4 5 5 6 6 6 7 9 9 9 9 9 9 9 9 9 10 11 11 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 14 14 14 13 13 13 13 13 13 13 12 13 13 13 13 13 14 15 14 14 15 15 15 16 15 15 15 15 15 15 15 15 16 16 14 14 13 12 11 11 10 9 8 7 7 6 5 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 0 0 0 0 1 1 1 1 1 0 0 0 1 1 1 1 1 1 0 0 1 1 1 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 1 3 4 4 4 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 5 5 5 5 5 6 5 5 5 6 6 6 6 6 6 7 6 6 7 7 9 11 11 11 11 11 11 11 12 13 13 12 12 14 16 18 19 18 17 17 15 16 17 18 18 19 20 22 22 20 18 17 17 17 17 16 18 19 20 20 20 20 20 20 19 17 15 12 11 10 11 13 15 15 14 15 16 17 19 20 22 25 27 28 28 29 28 26 24 23 23 23 23 23 23 23 23 24 23 23 24 26 24 24 25 24 20 17 16 14 12 12 13 21 30 40 48 47 45 41 36 32 29 27 26 25 24 23 20 18 15 12 9 6 3 2 1 1 1 1 1 2 2 4 8 9 9 8 11 16 18 19 17 14 10 7 4 3 1 1 0 0 1 2 1 3 6 9 12 15 15 16 18 20 22 23 23 23 21 21 21 21 20 18 17 15 13 10 8 7 5 4 4 2 1 1 1 0 0 0 0 0 0 0 1 5 13 24 27 21 14 8 6 5 4 4 2 1 0 0 0 0 0 0 0 0 0
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2 2 3 3 4 4 4 4 4 4 4 4 3 3 3 2 2 1 1 1 1 2 3 4 5 6 8 9 9 10 12 13 15 16 17 19 21 22 23 25 26 26 25 23 24 25 25 22 18 15 12 12 12 13 13 14 14 15 16 16 16 16 15 16 17 19 20 20 20 21 22 22 23 23 23 23 22 21 20 19 17 17 17 17 17 18 18 17 16 15 13 11 8 7 6 6 5 4 4 4 4 4 4 5 5 5 5 6 6 5 4 4 5 6 6 6 5 4 3 3 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 0 0 1 1 1 0 1 1 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 1 1 0 0 1 4 8 14 21 27 30 32 33 32 30 27 23 20 18 17 16 15 14 14 13 13 13 13 14 14 15 15 14 17 20 23 25 25 25 26 29 33 37 41 43 44 45 45 47 46 46 45 47 49 51 53 55 55 55 55 54 54 54 54 55 56 58 56 55 56 58 61 62 63 66 68 66 64 64 67 68 66 64 61 56 49 43 36 29 23 18 16 16 17 17 16 14 14 14 13 12 13 14 15 13 11 7 7 8 8 8 7 6 7 8 9 9 7 6 5 6 7 8 8 6 8 10 12 12 13 12 12 19 25 30 33 36 39 38 36 35 36 39 43 48 49 47 44 41 38 34 30 26 23 20 17 16 15 16 17 19 19 19 20 20 21 22 23 24 25 27 29 30 30 26 22 18 15 12 14 16 19 24 29 34 39 43 48 51 53 54 56 58 59 61 64 68 72 77 82 86 89 90 91 92 92 93 94 96 96 97 98 98 98 98 97 96 94 91 89 86 84 83 82 81 83 85 87 88 90 92 92 92 91 90 90 89 88 87 86 85 86 87 88 86 83 79 74 70 67 64 62 60 60 63 63 63 59 55 51 48 45 43 41 40 38 39 39 40 40 38 37 37 37 34 30 27 25 23 24 23 21 20 20 23 24 24 22 21 18 19 21 25 31 38 45 43 36 39 41 42 41 41 43 49 57 66 75 84 91 96 97 93 88 86 88 91 99 108 122 133 138 126 107 84 55 36 27 22 18 15 12 9 7 6 6 9 14 19 22 24 22 18 11 11 12 18 25 32 37 34 24 19 15 14 12 11 8 7 9 15 19 19 16 11 8 5 4 12 19 25 23 16 11 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
3 4 4 4 5 5 6 7 7 7 7 7 6 5 5 4 3 2 2 2 2 3 3 4 5 6 7 9 10 12 13 14 16 17 18 20 22 24 26 26 26 24 22 21 20 22 24 23 18 15 14 14 14 15 15 15 15 15 15 15 15 16 15 16 17 18 19 20 20 21 22 21 21 21 22 22 21 21 20 19 19 19 18 18 18 18 18 17 17 16 15 14 11 9 7 6 6 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 5 6 7 6 5 4 3 3 3 2 2 2 2 1 1 1 1 1 1 0 0 1 0 0 0 0 0 1 2 1 1 1 0 1 1 1 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 2 2 3 6 11 17 24 28 31 31 30 30 29 25 21 18 17 17 15 14 13 13 12 12 13 14 16 19 19 19 19 20 22 25 29 31 31 34 37 40 44 48 50 51 51 50 52 52 51 51 52 53 54 54 54 55 55 55 54 53 53 54 56 58 59 58 58 58 58 60 62 65 69 70 69 68 68 69 72 74 76 77 78 77 70 60 52 43 37 33 35 36 35 33 31 30 29 29 30 31 32 33 32 31 29 26 23 20 19 18 19 21 23 22 21 17 12 10 8 8 8 8 8 10 10 10 9 7 7 9 14 19 23 21 19 15 17 20 21 24 29 35 39 44 50 55 57 57 55 51 46 40 35 31 29 28 28 27 26 28 29 30 30 30 30 30 30 29 30 31 32 32 30 27 24 21 19 17 16 18 24 28 33 35 39 45 49 52 54 57 59 61 63 64 65 67 71 76 82 86 89 90 91 91 91 92 94 94 95 96 96 97 98 98 98 96 95 93 88 84 82 84 89 92 97 102 103 105 106 107 109 109 107 106 103 101 98 96 94 95 94 94 91 88 84 78 73 69 66 63 59 57 56 55 53 53 51 49 46 45 44 43 42 40 40 41 42 42 41 39 37 35 32 29 26 24 24 24 24 22 21 20 22 22 22 21 20 21 22 25 31 36 41 45 46 44 45 44 37 34 35 42 50 59 67 74 81 88 93 93 92 93 94 98 103 109 117 126 135 138 110 82 54 33 19 14 12 12 10 8 5 3 2 3 7 12 18 21 22 18 13 9 6 4 7 14 22 27 28 22 17 12 10 8 7 6 7 12 20 29 27 22 14 18 23 14 13 17 26 28 19 11 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
5 5 6 7 8 8 9 10 10 10 9 9 8 7 7 6 4 2 2 2 2 3 3 4 5 7 9 11 13 14 16 17 18 19 21 22 23 24 25 26 24 21 21 21 22 23 24 23 20 17 16 15 16 17 17 16 15 14 14 14 14 15 15 15 17 17 17 18 19 20 20 21 21 21 22 21 20 20 20 20 19 19 19 19 19 19 19 18 17 16 14 12 11 9 7 6 6 5 4 4 4 4 4 5 5 4 4 3 3 3 4 4 6 7 7 7 5 4 4 4 4 3 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 4 9 14 19 24 26 27 27 27 26 25 23 20 18 18 15 13 13 12 12 13 14 16 16 17 19 21 23 23 23 24 28 32 36 39 41 45 49 51 53 54 55 56 57 57 56 56 56 55 55 56 57 57 57 57 56 56 56 55 55 55 57 58 58 57 57 58 59 61 65 69 72 73 73 73 73 75 77 79 80 82 84 82 79 75 67 58 54 54 56 55 50 45 42 43 45 49 52 54 56 56 56 53 50 43 39 39 40 42 45 47 48 47 45 35 29 26 25 25 25 25 27 27 25 21 19 20 25 31 39 42 41 39 36 33 31 29 31 34 40 39 39 43 53 65 66 66 65 65 62 56 51 48 48 48 47 46 46 45 45 45 45 45 44 43 42 42 42 41 40 38 35 33 31 29 28 26 26 29 33 36 37 40 44 48 51 55 56 58 61 62 64 65 67 71 75 79 84 88 90 92 93 94 94 95 96 97 97 97 99 102 105 106 109 109 108 105 102 99 101 104 106 109 113 113 115 117 119 120 119 117 114 112 109 106 103 101 99 99 98 94 91 88 82 76 71 65 60 57 54 51 48 46 47 48 48 46 44 42 41 41 40 41 42 41 42 42 42 41 37 34 30 26 24 23 24 24 23 22 22 22 23 24 24 24 24 26 29 33 35 37 40 41 43 40 36 27 29 36 46 54 61 68 74 79 83 88 90 94 99 104 110 115 119 123 127 123 110 83 56 30 17 10 8 7 7 6 4 3 2 1 3 7 12 15 17 17 13 8 6 4 4 5 7 11 15 19 17 13 9 7 6 5 7 10 17 23 31 31 29 25 25 24 19 15 15 15 13 9 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
7 8 9 10 10 11 11 11 10 10 10 9 8 7 6 3 2 2 2 2 2 3 5 6 7 9 11 13 14 15 17 19 20 21 22 22 22 22 22 22 22 22 23 25 26 25 24 22 21 20 18 19 20 18 18 16 15 14 14 14 14 14 13 14 15 15 16 17 18 19 20 21 21 21 20 20 20 20 20 20 20 19 19 19 18 18 18 18 17 15 14 13 11 9 7 6 5 5 4 4 4 4 5 5 5 5 4 4 5 4 4 5 6 6 7 6 4 3 4 5 5 5 4 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4 5 7 11 15 19 21 23 24 25 25 24 23 20 18 17 16 14 12 12 13 14 16 18 20 21 21 20 21 23 26 28 30 33 34 38 42 47 52 54 55 56 58 58 58 59 59 60 60 60 60 60 60 60 60 59 58 58 57 56 56 56 56 56 56 57 58 58 59 61 64 67 69 71 74 76 77 79 80 81 80 80 83 86 86 86 87 82 75 69 67 69 67 62 57 54 54 58 64 71 75 78 77 75 72 68 62 58 57 58 60 59 57 59 63 63 58 56 54 53 54 58 56 54 53 48 43 37 36 44 57 71 67 67 69 69 65 55 53 58 66 72 65 61 61 69 75 74 71 68 63 61 65 67 68 70 70 68 66 64 61 60 60 60 60 59 58 58 56 55 53 52 50 49 48 47 46 45 42 40 40 43 45 46 48 49 49 51 53 56 58 61 64 67 69 73 77 77 78 82 86 90 93 95 97 97 99 100 100 100 101 103 107 110 112 114 117 119 120 119 116 115 115 115 117 118 119 122 125 125 125 125 122 118 115 112 110 109 107 104 101 97 93 89 85 81 76 71 65 59 56 52 47 44 43 42 41 41 40 39 37 37 38 39 41 42 42 42 42 41 40 39 35 31 29 26 24 25 24 24 24 24 24 25 27 27 28 30 33 37 36 36 35 38 39 39 40 41 38 38 40 49 57 63 69 74 77 80 83 88 94 102 109 115 119 121 122 120 108 82 58 35 17 8 5 5 4 4 3 2 1 2 5 7 9 11 11 11 10 9 7 5 3 4 4 4 5 7 10 8 6 6 7 8 7 7 9 12 15 19 21 22 19 15 9 4 0 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 1
9 10 10 11 11 11 11 11 11 10 9 8 8 6 3 2 2 2 3 4 4 5 7 8 10 12 13 15 16 17 18 19 19 19 19 18 18 19 20 22 24 24 24 25 26 25 22 20 19 19 20 19 18 17 16 16 15 14 13 13 13 13 14 14 14 14 14 15 18 21 20 21 21 20 20 20 20 20 21 21 20 18 18 19 19 18 17 17 16 15 14 14 12 9 8 6 5 4 5 6 5 5 5 4 5 5 5 5 5 5 4 4 5 5 6 7 5 4 5 5 6 6 5 4 4 3 1 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 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 5 6 7 10 14 18 21 22 24 25 25 25 23 20 22 23 21 18 16 17 17 18 19 22 23 24 23 21 22 23 25 29 35 39 41 42 45 51 55 55 55 55 56 57 58 59 60 61 62 63 64 64 64 64 63 63 62 61 60 59 58 58 58 58 58 59 60 61 62 64 67 70 74 76 77 79 81 81 82 84 84 85 88 89 88 87 85 84 83 79 78 77 78 74 68 68 68 72 77 83 85 87 86 84 82 78 74 67 65 66 64 61 57 58 61 66 72 76 74 72 72 73 71 71 70 66 60 53 53 57 66 72 71 73 76 82 82 75 73 74 81 86 89 86 82 83 83 81 75 70 66 66 68 72 76 80 79 78 77 75 73 72 72 73 75 76 77 77 77 74 72 72 71 71 71 70 70 67 63 60 57 57 56 56 56 55 53 55 57 61 64 66 69 73 77 80 82 82 83 85 88 91 94 97 99 101 103 104 105 105 105 106 107 107 107 107 110 115 120 123 123 122 121 120 122 124 124 125 126 125 124 124 124 122 117 114 112 108 104 100 97 93 90 86 81 73 67 61 58 56 53 49 44 41 38 36 35 35 36 36 37 37 38 39 40 41 42 43 43 42 41 39 35 32 29 28 27 26 26 26 25 24 25 26 28 29 31 35 38 41 40 39 40 39 38 37 38 40 41 42 46 55 62 66 70 73 76 80 84 89 95 104 111 118 120 118 112 100 83 58 36 17 9 4 2 2 2 2 2 3 4 6 9 10 11 9 8 7 6 6 5 4 4 4 4 3 3 4 4 4 3 5 8 11 12 12 11 10 10 10 11 10 9 7 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 1 3
10 10 10 10 10 9 9 9 9 9 8 7 6 4 3 2 3 3 4 5 6 8 9 11 13 14 15 17 18 18 18 17 17 16 15 15 16 19 22 24 24 25 27 28 26 24 21 18 18 19 18 17 15 14 14 14 14 13 13 13 14 14 14 14 14 13 13 15 16 18 20 20 20 20 20 20 20 20 20 20 19 20 20 19 18 17 16 16 16 15 15 13 11 9 7 6 6 6 6 5 5 5 5 4 4 5 5 5 5 4 4 3 3 4 5 7 6 6 5 5 5 5 4 3 3 2 2 2 1 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 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 5 5 6 8 13 18 21 25 27 27 26 26 26 30 35 33 30 27 24 24 25 27 28 27 24 23 22 22 22 27 32 32 35 40 43 45 47 51 52 53 54 54 55 56 57 59 61 62 63 65 67 68 68 68 68 67 66 65 64 62 62 61 61 61 61 62 63 65 67 69 71 73 75 78 80 82 83 85 87 86 87 87 88 88 86 85 85 85 85 84 84 84 84 81 80 80 81 82 84 84 83 81 80 78 78 77 76 74 74 71 65 65 66 72 75 75 76 81 79 76 73 74 75 74 72 70 66 62 63 64 68 69 70 70 70 71 74 76 76 76 78 78 78 80 83 85 85 82 77 73 71 71 71 71 74 76 75 74 72 73 75 76 79 82 89 95 98 100 101 98 96 94 95 95 94 93 93 89 86 82 79 77 74 73 72 70 68 69 71 75 78 81 83 86 89 91 92 93 94 95 97 99 101 103 106 108 109 110 110 110 108 107 105 104 102 101 101 102 106 111 117 125 126 123 124 124 124 123 121 119 118 117 117 116 114 111 108 103 99 94 91 87 81 76 71 66 61 55 53 52 48 44 39 37 35 33 33 33 35 36 38 40 40 40 41 42 42 41 42 41 40 38 36 34 32 31 29 28 27 26 25 25 26 28 30 32 35 38 40 42 40 40 42 40 39 38 39 42 43 47 55 62 69 70 73 75 81 86 91 96 101 109 113 114 111 104 92 75 56 37 20 6 3 2 2 2 2 1 2 3 5 7 9 9 9 8 8 8 8 8 6 6 7 6 6 5 4 3 4 4 4 7 10 15 17 17 14 12 9 7 5 5 5 4 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 1 7
10 9 9 10 10 9 8 8 8 7 6 5 4 2 2 3 4 5 5 7 8 9 11 12 13 15 17 18 18 18 17 16 14 14 15 17 18 20 23 26 27 27 27 27 26 23 20 18 18 17 17 15 14 14 14 14 13 13 13 13 13 14 14 14 14 14 14 15 16 17 18 18 19 19 19 19 19 20 20 20 19 19 20 19 18 17 16 16 15 15 14 13 11 9 8 7 7 7 6 5 4 4 4 4 4 5 4 4 4 4 4 4 4 5 6 7 7 7 6 5 5 5 4 2 1 2 2 2 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 2 2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4 4 6 11 17 22 26 28 27 30 32 35 40 40 39 38 37 36 34 32 31 30 27 24 22 21 21 23 27 31 34 37 39 43 46 48 50 51 53 54 53 54 55 56 58 60 62 64 66 70 71 71 72 72 71 70 68 66 65 63 64 64 64 64 64 65 66 68 71 72 74 76 77 79 81 82 84 85 86 87 88 88 87 84 82 81 81 81 82 81 81 81 82 80 81 83 84 83 81 78 75 73 71 74 78 80 82 83 80 78 77 81 88 91 93 90 85 81 77 73 72 73 75 73 71 69 68 69 69 68 68 67 68 68 68 69 70 72 73 74 75 77 78 80 83 85 83 80 78 77 77 76 75 73 72 69 67 66 70 74 77 82 88 95 102 108 110 111 111 111 110 111 111 111 110 110 108 105 103 102 100 94 93 94 93 93 93 94 96 98 101 102 104 105 106 108 110 110 110 111 112 114 115 117 118 118 118 117 114 112 110 108 106 104 103 103 103 101 100 102 106 111 115 116 116 116 113 111 108 106 105 104 104 106 105 102 96 90 84 80 74 68 63 59 59 58 55 52 49 45 41 37 36 35 35 35 35 35 36 38 40 41 42 42 42 41 40 40 40 39 37 36 36 35 34 33 30 28 27 27 27 28 30 32 34 35 37 40 43 44 44 41 41 39 33 34 39 46 54 63 68 72 74 77 80 85 91 98 104 109 115 115 103 89 73 56 40 26 16 8 3 1 1 1 1 1 2 4 6 7 7 7 7 7 7 8 10 11 12 12 12 11 11 10 7 4 3 3 4 5 8 15 20 23 21 19 17 13 10 7 5 6 8 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 1 2 7 19
10 10 10 10 9 9 8 7 6 5 4 3 3 4 4 5 6 7 8 9 10 11 12 14 15 16 18 21 18 16 15 14 15 16 17 20 22 23 25 27 28 27 26 25 22 21 19 18 16 16 15 14 14 14 13 13 13 13 13 13 13 13 13 13 13 14 15 16 16 17 17 17 17 18 18 18 18 19 19 19 19 20 20 19 18 17 17 17 15 14 14 13 11 9 8 7 7 5 5 4 4 4 4 5 5 3 3 4 4 4 4 4 5 6 7 8 7 7 6 6 5 5 5 4 2 2 2 2 2 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 7 13 20 25 26 28 35 39 42 45 49 45 43 41 39 35 32 29 26 24 24 24 21 21 23 27 32 36 40 43 46 48 50 52 53 54 55 56 56 57 57 59 62 63 64 66 68 70 72 74 75 75 73 70 68 66 65 66 67 68 68 67 67 67 68 70 72 73 74 75 77 79 80 81 82 83 85 86 87 86 84 81 79 78 79 79 78 77 75 75 75 76 77 77 78 78 79 78 78 79 81 85 87 88 88 87 86 84 86 88 89 84 78 78 78 77 76 76 73 71 68 66 66 65 65 65 63 61 61 60 61 61 60 61 62 64 66 68 72 75 78 81 85 86 86 85 85 85 87 85 80 74 71 72 73 74 73 74 82 89 96 104 111 114 116 118 119 118 116 119 123 124 123 122 120 117 114 107 98 97 101 108 115 119 120 122 123 122 121 122 123 124 126 128 128 128 127 128 129 128 127 126 125 125 125 125 124 121 118 115 112 108 104 100 96 99 101 103 106 109 112 112 111 106 102 97 95 94 94 95 99 99 97 90 80 68 62 57 53 49 45 46 46 48 48 47 42 38 35 34 34 35 36 36 36 37 37 39 40 41 42 42 41 41 41 41 41 40 40 39 37 35 33 31 30 29 29 30 32 33 35 37 39 36 34 32 37 40 40 41 42 42 43 45 52 59 66 70 74 78 82 87 93 99 107 111 112 106 96 80 64 49 35 23 12 6 2 1 0 0 0 1 2 2 2 3 4 4 4 5 5 6 8 10 12 12 12 13 12 11 10 7 4 4 5 5 7 9 13 18 26 25 24 21 18 16 13 11 11 12 14 11 8 6 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 1 9 24 45
10 10 10 9 8 7 6 5 4 3 3 4 4 5 6 7 8 8 10 11 12 13 14 16 16 17 16 16 16 15 15 16 17 19 21 22 24 25 26 27 27 26 23 21 19 18 17 15 15 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 14 15 16 17 17 17 17 16 16 16 17 18 18 18 18 19 20 20 19 18 18 18 17 15 13 13 12 10 9 8 7 6 5 4 4 3 3 3 4 5 5 4 3 3 3 3 4 5 7 9 8 7 8 8 7 6 7 7 6 4 3 3 3 2 1 0 0 0 0 0 0 0 1 1 2 1 1 1 1 1 1 1 1 1 1 1 2 2 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 1 1 1 3 9 17 23 27 33 38 41 44 47 47 46 43 40 37 34 30 27 24 23 22 19 19 22 25 30 34 38 42 46 48 49 51 53 54 55 57 58 58 59 60 61 62 62 64 65 67 69 71 74 77 77 75 73 71 70 69 69 70 70 70 70 69 69 68 69 70 72 73 74 76 77 78 78 78 80 81 82 83 84 84 84 82 81 82 82 81 78 76 75 76 77 78 78 78 80 83 85 85 86 86 86 86 87 87 86 84 81 81 81 80 74 71 74 75 75 74 72 69 65 62 59 57 56 56 55 54 53 53 53 53 51 49 49 52 55 58 61 64 69 74 78 82 87 89 90 92 93 93 94 93 86 83 84 83 82 80 78 79 81 87 96 105 112 118 123 126 128 129 129 130 130 127 125 123 121 119 116 112 111 113 120 130 138 137 137 137 137 138 140 141 141 142 143 145 144 143 143 142 141 140 138 136 134 133 134 134 130 128 127 125 120 112 103 95 96 99 101 103 104 107 107 107 102 97 92 90 90 93 94 96 95 91 82 72 61 52 46 42 39 36 34 33 33 33 33 34 33 32 33 34 35 36 37 39 39 38 39 39 40 41 43 44 44 44 42 41 42 42 41 39 36 34 33 32 32 32 32 34 36 39 42 45 41 38 36 39 40 40 42 47 50 52 54 59 66 71 76 80 85 90 96 102 109 111 111 106 92 73 59 47 36 25 16 10 6 3 2 1 1 1 2 2 2 1 1 1 2 2 3 4 5 7 8 9 9 10 12 12 12 10 8 6 7 7 7 8 9 13 20 29 29 26 24 23 21 18 16 15 13 9 8 7 6 5 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 1 5 13 27 38 46
8 8 8 6 5 5 4 4 3 3 4 4 5 6 7 8 9 10 10 11 12 13 15 16 16 16 15 16 16 16 17 18 20 21 23 25 26 27 26 27 24 21 19 18 16 13 11 13 13 13 13 13 13 12 12 13 13 13 13 13 13 13 13 13 14 15 16 16 17 17 16 15 15 15 15 16 17 17 18 18 19 20 19 18 17 17 17 15 14 13 12 11 10 8 7 6 5 4 4 3 3 3 3 4 4 5 5 4 3 4 5 5 5 5 8 9 10 11 11 11 10 10 10 8 6 4 4 4 2 1 0 0 0 0 0 0 1 1 1 2 2 2 1 1 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 2 6 13 20 25 29 34 38 41 43 44 43 40 38 36 34 31 27 25 25 23 22 22 24 28 31 35 39 43 45 47 49 51 52 53 56 57 58 60 61 60 60 61 62 64 65 67 69 70 71 74 76 77 77 76 76 75 76 77 77 75 74 72 72 72 72 72 72 72 72 73 74 76 76 76 77 77 78 76 75 79 82 85 88 90 89 87 84 82 81 81 82 82 83 84 84 85 86 86 85 86 86 84 82 81 81 81 79 77 76 75 74 73 73 74 73 72 69 66 64 62 59 57 56 56 53 53 53 53 51 50 48 47 46 48 50 52 55 59 64 70 75 80 86 90 92 92 88 87 94 98 97 96 94 90 87 82 75 69 63 68 78 93 105 117 122 124 128 132 135 134 132 127 121 118 122 129 130 132 136 138 140 142 142 140 141 143 145 147 150 153 154 154 155 156 156 155 154 153 152 150 147 143 133 124 121 118 115 119 121 121 117 110 103 96 89 89 93 95 97 97 96 94 89 88 88 88 89 95 98 99 94 88 78 67 56 48 42 36 34 32 30 27 25 26 28 29 30 31 33 35 36 38 39 40 39 38 39 40 41 43 45 46 46 46 45 45 45 44 42 41 39 36 35 34 33 33 33 35 37 39 41 44 47 46 42 40 39 40 43 48 53 58 62 68 74 80 85 90 95 100 106 111 117 111 102 87 69 49 42 35 27 20 13 10 7 5 4 3 2 3 3 2 1 3 3 3 3 3 3 3 4 5 6 7 8 9 10 10 11 10 10 8 8 9 10 11 13 16 21 25 27 27 26 26 24 22 20 16 10 5 3 3 3 3 3 4 5 3 1 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 4 9 22 32 28 18
6 5 4 4 4 4 3 3 4 4 5 5 5 6 7 8 9 10 11 11 13 13 13 14 15 15 16 17 16 17 18 19 21 22 24 25 26 26 25 21 17 16 15 14 13 13 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 14 16 16 16 16 16 15 14 14 14 14 15 15 16 17 18 18 19 19 17 15 16 17 17 15 14 13 12 11 9 7 5 4 4 3 3 3 4 4 4 4 5 6 6 5 5 5 6 6 7 8 9 11 12 13 12 12 13 13 11 7 4 4 4 3 1 0 0 0 0 0 0 0 0 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 17 24 29 33 36 39 40 40 39 37 35 35 34 32 30 29 28 27 26 26 27 30 33 36 40 43 45 47 48 50 53 55 56 57 59 60 61 61 60 60 62 64 66 68 69 70 72 74 77 79 81 82 83 83 84 84 83 81 78 75 74 73 73 73 72 72 71 70 69 69 70 71 73 74 72 68 69 72 77 83 90 91 90 89 87 84 84 84 84 83 83 82 83 82 82 79 78 80 82 81 79 77 75 75 76 76 75 76 76 75 75 74 72 72 71 70 69 67 65 64 66 70 66 61 59 57 55 54 53 52 51 51 50 50 51 54 59 66 73 79 86 92 96 99 100 100 101 101 99 94 88 80 82 82 74 66 59 60 66 83 97 110 111 114 126 134 139 140 141 141 140 136 146 151 150 149 148 149 147 143 137 132 131 134 139 147 155 161 165 166 166 166 165 163 162 159 155 151 146 140 123 110 101 100 101 105 108 108 106 102 101 99 97 92 86 83 83 84 83 81 78 80 83 82 83 88 94 98 92 84 76 66 56 48 41 36 32 30 31 29 28 27 27 27 29 30 32 34 36 37 38 39 39 38 39 41 43 45 46 46 46 46 46 46 45 43 40 38 36 36 36 36 35 34 35 37 38 39 41 43 43 42 39 38 37 41 46 51 58 65 71 76 82 88 94 100 105 109 113 116 117 107 92 71 52 39 31 25 21 17 14 12 10 8 6 5 6 6 6 4 1 4 5 6 5 4 3 3 4 5 5 7 7 8 8 8 9 9 9 8 8 9 11 15 18 21 23 25 26 26 26 27 27 27 26 22 14 8 2 1 0 0 3 5 5 3 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 3 8 16 12 6
3 3 3 4 4 4 4 4 4 5 5 6 6 7 8 8 9 10 10 10 10 11 12 13 15 16 16 16 16 17 18 19 21 22 24 25 25 23 20 17 14 13 12 11 11 10 11 11 11 11 11 12 12 11 12 12 12 12 12 13 13 13 13 14 15 16 17 17 17 16 14 14 13 13 14 15 16 16 17 17 17 17 17 17 16 16 18 18 16 15 14 13 11 9 7 6 5 4 4 4 3 3 3 4 4 5 6 7 7 7 7 8 8 8 9 9 11 12 13 13 12 11 12 13 11 8 5 4 3 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 8 16 22 28 31 33 35 36 36 36 36 35 34 34 34 32 31 30 29 29 30 32 35 38 40 43 44 46 49 51 54 55 57 58 58 58 58 59 59 59 60 62 64 66 68 70 71 73 75 77 80 83 85 86 87 88 89 88 85 82 79 77 75 75 73 71 69 67 65 63 62 62 63 66 69 70 70 69 70 73 80 86 88 88 86 86 86 89 89 87 86 85 84 83 81 79 77 78 80 79 79 78 77 77 77 77 76 76 77 75 74 74 73 71 72 73 74 73 71 70 70 70 69 67 66 66 65 64 64 63 62 61 60 59 57 55 55 57 64 71 78 86 93 100 105 108 107 105 103 100 95 87 81 84 79 67 63 61 65 74 88 95 105 115 126 140 144 148 149 151 153 153 152 151 153 156 150 144 140 136 133 129 124 121 124 133 143 152 160 166 171 172 172 170 167 163 158 150 141 130 118 102 90 82 86 91 98 102 104 105 105 105 106 108 103 97 90 85 82 81 79 78 78 77 72 74 81 87 91 86 78 68 62 56 51 45 39 34 33 34 33 31 30 30 30 31 32 33 34 35 37 38 38 38 38 40 43 46 48 50 48 48 47 46 46 45 43 41 37 36 38 37 36 35 35 37 36 35 37 40 43 42 40 39 38 38 43 49 55 63 71 79 86 92 98 104 110 115 119 121 119 108 93 75 52 36 30 25 22 18 15 14 13 11 10 9 10 10 10 9 6 3 2 2 3 3 3 3 3 4 4 4 5 6 6 6 7 7 8 7 7 6 7 8 11 14 18 20 22 22 21 20 22 24 25 28 30 25 17 7 3 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 1 1 1 2 3 3 2 1 0 0 0 0 0 0
2 2 3 4 4 5 5 5 5 6 7 7 8 8 9 9 9 10 10 10 9 10 10 11 13 14 15 15 16 17 17 18 19 21 22 23 23 20 16 12 11 11 11 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 13 13 13 14 14 15 16 17 17 17 16 16 15 14 14 14 15 16 17 17 16 15 14 15 16 15 15 14 12 12 12 13 12 11 8 7 6 6 5 5 4 4 4 4 4 5 6 8 8 9 9 8 8 8 9 10 11 11 12 13 13 13 12 12 13 12 10 8 7 5 3 3 2 2 1 1 1 1 1 2 1 1 1 1 1 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 1 3 6 11 16 21 25 28 31 33 33 33 33 33 31 32 32 33 34 33 32 32 32 34 36 40 42 44 46 48 50 51 53 55 57 59 60 59 59 58 58 58 59 61 62 63 66 69 70 71 72 73 75 79 82 84 87 89 90 91 89 87 84 82 79 77 75 72 70 67 64 61 58 56 56 57 61 64 67 70 71 73 74 78 82 86 84 83 86 89 91 89 88 87 85 84 81 79 78 77 78 77 76 75 74 74 75 76 75 75 74 73 72 71 70 71 71 72 73 73 73 73 73 73 73 72 71 71 71 71 70 69 68 68 67 66 66 66 64 62 61 62 69 77 86 93 100 104 107 106 104 100 97 94 84 78 74 66 59 58 62 70 85 97 91 96 115 134 151 157 159 159 157 157 156 156 157 150 142 127 119 114 117 120 126 128 126 125 125 127 128 128 137 146 153 155 154 155 153 147 137 124 109 94 78 63 50 55 64 75 86 97 104 107 106 106 106 103 98 93 91 90 91 88 82 81 79 77 82 89 88 86 81 75 69 64 61 60 55 50 42 37 35 36 36 36 37 38 37 36 36 37 38 39 41 43 42 41 42 44 46 48 49 47 46 45 46 46 46 44 41 39 39 40 39 37 36 37 37 35 33 36 39 41 41 41 40 40 42 47 52 59 67 77 86 95 103 109 115 120 123 124 121 114 93 74 55 39 27 21 19 21 17 14 12 10 10 9 9 11 14 18 18 16 9 5 2 3 3 4 4 4 4 4 5 5 6 6 6 7 6 6 6 5 4 4 4 5 7 10 13 15 16 15 13 14 14 15 15 15 14 13 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 0 0 0 0 0
2 3 4 5 5 5 5 6 7 8 8 8 8 9 9 9 9 9 9 8 8 8 9 10 11 12 13 13 13 14 14 15 16 18 20 21 20 17 13 10 9 9 9 9 9 9 9 9 10 10 11 11 11 12 12 12 12 12 12 13 13 13 14 15 17 19 19 18 17 16 16 16 15 14 14 15 16 17 17 15 13 11 11 13 14 12 9 9 8 10 11 12 12 10 9 8 7 5 5 5 6 6 6 6 7 8 9 9 10 9 9 9 10 11 11 11 12 12 13 14 14 13 13 14 15 13 10 8 7 5 4 4 4 4 4 3 3 3 3 2 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 13 18 21 23 26 28 29 30 29 29 29 28 29 29 29 31 32 32 31 33 35 38 41 43 46 48 49 50 52 52 54 56 59 59 59 59 59 59 59 61 63 64 66 68 69 70 69 70 71 73 75 79 83 86 87 88 89 89 87 85 82 79 76 73 70 67 64 61 59 56 54 53 54 56 59 62 66 68 71 74 76 78 78 78 80 83 86 87 88 88 88 86 84 83 81 80 78 76 74 73 72 71 71 72 73 72 72 72 71 71 70 70 71 73 74 74 74 75 75 75 75 75 74 73 72 72 71 70 70 68 68 67 67 67 68 70 72 74 75 77 82 88 94 98 100 100 100 91 84 80 74 67 64 61 57 54 52 58 68 82 95 102 114 128 136 141 141 149 154 151 148 145 143 140 126 115 105 104 104 109 117 126 129 129 122 111 97 85 78 91 100 108 112 116 125 128 127 120 110 93 78 64 53 45 45 50 59 71 84 97 104 107 106 103 100 95 90 87 85 86 85 84 90 93 95 97 99 93 88 83 78 73 67 63 60 59 57 53 49 46 44 43 43 43 43 42 41 39 39 39 40 40 41 42 42 45 46 45 45 45 45 45 45 46 46 46 44 40 40 40 41 39 37 37 37 35 34 32 34 36 38 39 40 42 44 46 50 55 60 68 76 88 99 108 116 123 128 130 126 115 100 78 58 38 31 28 26 25 25 21 16 14 12 10 9 9 12 16 20 21 21 15 11 8 8 8 8 7 5 4 4 4 4 4 4 3 3 4 4 4 4 3 2 1 1 2 3 4 6 8 8 7 6 5 3 2 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
3 4 5 5 5 5 6 7 8 9 8 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 11 12 12 12 13 14 17 19 19 18 14 10 8 7 7 8 8 8 9 9 9 9 10 10 11 11 12 12 12 12 12 13 13 14 14 14 16 19 20 20 19 17 17 16 16 16 15 15 15 16 17 16 14 12 10 12 14 13 12 10 8 8 10 13 15 14 13 12 11 9 7 6 6 7 7 7 8 9 10 10 10 10 10 11 12 12 13 13 13 13 12 13 14 14 14 14 13 15 16 14 11 9 6 5 5 5 4 5 5 5 4 2 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 2 4 7 10 13 16 19 21 23 24 26 25 25 26 26 26 26 26 27 27 28 28 30 31 33 35 38 41 45 47 49 50 51 52 54 56 57 58 58 58 59 60 62 63 63 64 65 66 68 68 69 69 68 68 72 76 80 83 84 85 86 86 85 83 81 78 76 72 69 66 63 60 58 56 55 53 53 53 55 56 58 61 64 66 67 69 71 74 78 82 85 86 88 89 89 88 87 85 84 82 79 76 73 71 70 69 68 69 69 69 70 71 71 71 73 73 73 74 75 77 77 75 75 76 76 76 75 75 75 73 73 72 71 70 70 70 70 70 71 72 75 78 83 87 91 94 95 95 94 88 81 69 64 61 59 57 55 52 50 49 48 51 59 70 84 99 112 125 135 140 142 141 138 131 129 127 126 119 99 95 94 98 97 91 98 108 107 106 107 95 79 70 64 67 70 74 84 94 108 112 112 108 100 87 72 58 54 52 54 60 68 80 90 98 104 109 111 109 104 97 90 83 80 80 81 83 89 95 100 103 103 97 92 87 83 77 70 66 64 62 61 62 59 55 53 50 46 45 44 44 44 44 43 43 42 43 44 46 48 48 48 48 48 47 46 45 44 44 44 42 40 38 38 39 38 38 38 38 38 37 35 33 30 31 35 37 39 41 43 46 48 51 58 66 77 90 103 116 125 128 128 126 120 107 87 67 48 32 26 26 20 16 19 20 20 17 14 13 12 12 16 20 23 24 23 20 18 16 15 14 12 10 8 6 4 4 4 3 1 0 1 2 2 3 3 2 1 0 0 0 0 0 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
3 4 4 4 5 5 6 7 8 7 7 6 5 5 6 6 6 6 6 6 7 7 8 8 8 8 9 9 10 11 12 13 14 15 16 16 14 13 10 8 7 8 8 8 8 9 9 10 10 10 10 10 11 12 12 12 13 12 13 13 13 13 14 15 16 17 18 18 18 17 16 16 16 15 15 15 16 17 16 15 14 15 15 13 11 10 9 8 9 13 16 18 18 17 16 14 12 9 7 7 7 7 8 9 10 10 11 11 12 12 12 13 13 14 14 15 14 15 15 14 14 15 17 16 16 15 15 14 12 10 8 7 8 8 8 6 6 5 4 3 2 2 1 1 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 9 10 11 11 13 16 19 21 22 21 22 22 23 23 22 21 22 23 23 25 27 28 30 31 34 37 40 43 44 45 46 47 49 51 53 54 54 54 56 57 58 59 60 61 62 63 65 66 65 65 64 65 68 73 77 80 82 83 83 83 83 81 79 76 74 72 69 65 63 60 57 55 53 52 51 51 51 53 54 56 57 59 59 61 64 69 74 79 83 85 86 88 88 89 89 88 86 83 80 77 74 72 69 67 66 66 66 67 69 69 69 70 70 71 72 73 74 74 73 73 74 74 75 75 75 75 75 75 76 76 75 74 73 73 73 73 74 76 79 82 86 89 92 93 93 89 84 74 64 54 53 52 53 54 56 57 57 50 46 47 54 65 82 96 105 104 100 131 147 142 128 113 110 111 114 111 104 98 95 97 92 82 83 86 85 84 82 62 45 48 52 56 56 60 73 83 91 97 101 102 97 90 79 70 65 63 65 73 83 98 107 111 114 116 116 113 107 99 92 86 84 83 81 81 87 94 101 106 108 101 94 87 83 78 70 66 64 65 65 64 63 62 61 57 49 47 46 47 47 47 47 48 50 52 54 56 57 54 51 49 49 50 48 47 45 44 42 39 38 37 36 36 35 36 37 38 39 39 39 38 36 34 34 35 36 38 41 46 50 54 63 75 91 105 117 127 132 132 127 121 108 93 74 56 39 27 17 11 7 5 12 15 15 14 12 12 12 13 16 21 24 26 25 22 20 19 18 17 14 12 10 8 6 6 5 2 1 0 0 0 1 2 3 3 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
2 3 3 3 4 4 5 6 6 6 5 4 4 5 5 6 6 6 6 7 7 7 8 8 8 8 8 9 11 12 13 13 14 15 16 15 13 11 10 9 9 9 9 9 9 9 10 10 10 10 10 10 11 12 12 13 13 13 13 13 13 13 13 14 15 17 18 18 18 17 16 15 15 15 16 16 17 17 17 16 16 15 14 12 11 10 9 10 12 16 18 19 19 18 17 16 13 11 9 8 7 7 9 11 12 12 12 13 13 14 14 14 14 15 15 16 17 17 17 16 16 16 16 16 16 15 14 14 14 12 11 9 9 10 8 7 6 6 5 4 4 4 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 8 7 7 7 7 9 11 14 17 18 18 18 19 20 20 19 18 18 19 19 20 22 24 26 27 29 31 33 34 35 36 36 37 40 43 45 46 47 47 48 49 50 51 53 55 57 59 60 62 63 64 64 65 67 72 76 80 82 83 82 81 80 78 77 75 73 72 70 67 65 61 58 55 52 50 48 47 47 47 47 48 49 52 55 58 61 66 70 75 79 82 84 85 87 88 89 89 88 85 82 79 75 71 69 66 65 64 64 65 65 65 66 66 67 68 68 69 70 71 71 73 74 73 73 73 74 74 75 77 78 78 78 77 76 76 76 76 76 77 81 84 87 88 88 87 85 81 74 63 56 51 50 50 50 49 48 49 46 38 41 46 55 66 80 91 100 106 116 138 145 143 126 110 103 108 117 110 102 96 100 108 102 94 87 80 73 68 64 58 49 37 39 44 52 60 71 73 74 77 82 89 90 90 88 84 78 75 74 84 94 104 111 117 122 123 120 114 107 99 94 92 92 92 93 96 104 108 111 112 110 103 95 87 80 72 63 62 63 69 70 67 64 61 59 55 50 49 49 49 49 50 51 52 54 58 62 65 66 60 55 51 49 47 47 47 47 45 42 39 38 37 36 36 36 38 39 40 40 40 39 39 36 35 38 40 41 46 52 57 64 71 81 93 109 121 130 131 130 126 120 113 98 81 63 45 28 18 10 8 9 10 17 20 16 14 13 13 13 12 14 16 19 21 20 16 11 14 15 15 14 13 12 11 9 8 6 4 2 2 1 1 1 2 3 5 7 7 6 5 4 3 2 1 1 1 1 2 3 3 4 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 2
1 2 2 2 3 3 4 4 5 5 5 5 5 6 6 6 7 7 6 6 7 7 7 8 9 9 9 10 11 11 13 14 14 15 16 15 14 12 11 10 10 10 9 9 9 10 10 10 10 10 10 11 11 12 12 12 13 14 14 14 14 14 14 14 15 17 19 19 19 18 17 16 15 15 16 17 17 18 18 18 17 16 14 13 12 10 10 11 14 17 19 19 18 17 17 16 14 12 9 8 8 10 11 12 13 12 12 13 13 14 14 14 15 17 17 17 18 18 18 18 18 17 17 16 16 17 16 14 13 14 13 12 10 8 7 6 6 5 4 4 4 4 3 2 2 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 1 2 3 5 5 4 3 3 3 4 6 9 12 14 16 16 17 19 19 18 16 15 15 15 16 18 19 21 22 23 24 26 27 27 26 27 27 31 34 36 36 36 36 38 38 39 41 43 45 47 49 51 54 57 60 64 68 71 75 79 82 83 83 81 78 75 74 74 72 72 72 70 68 65 61 58 54 51 48 44 43 41 40 39 38 40 43 47 51 56 61 66 70 74 76 78 81 84 86 89 91 89 86 83 79 74 71 68 65 63 61 61 60 60 61 61 62 62 63 64 65 67 69 70 72 72 72 72 72 73 74 74 76 78 80 80 80 79 79 79 79 80 81 85 87 90 89 88 86 83 79 74 67 58 53 50 49 48 44 41 39 36 34 41 51 64 74 81 88 98 115 128 143 155 154 131 116 109 121 133 127 121 117 121 126 115 106 99 92 86 76 68 62 59 56 64 71 78 79 79 72 69 71 76 80 79 79 84 85 83 79 77 81 90 102 110 117 121 121 117 113 107 98 94 94 99 104 108 113 120 120 119 117 113 106 101 95 82 71 60 58 58 63 64 63 58 54 54 53 53 53 52 52 53 55 59 63 65 67 70 70 69 65 60 54 52 50 49 49 48 44 40 38 38 38 38 38 40 41 41 39 38 38 38 38 41 46 56 61 61 63 67 72 79 88 99 111 120 127 130 129 126 117 108 97 83 67 48 33 19 11 6 9 13 18 20 21 19 18 19 19 18 18 18 20 20 19 14 10 9 10 11 12 12 14 15 16 14 12 10 9 7 6 5 4 3 3 4 5 7 9 10 10 10 8 7 6 5 5 5 6 8 9 10 11 10 7 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
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8 9 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 11 11 12 12 12 12 12 12 12 12 12 13 13 13 13 12 11 10 10 9 9 10 10 11 12 12 12 13 13 13 13 13 13 14 14 14 14 14 13 12 14 15 15 15 15 15 16 17 17 17 16 14 13 12 12 14 16 18 19 17 16 17 17 15 15 16 15 14 14 13 12 12 12 13 13 14 14 15 15 16 15 15 15 16 16 16 15 13 11 10 7 5 4 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 6 6 6 6 6 6 5 5 4 4 4 4 3 3 3 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 12 12 12 11 10 7 4 3 3 2 2 2 2 2 4 7 9 11 14 20 25 27 27 26 25 24 22 21 21 23 25 26 27 29 30 32 32 32 36 40 42 45 48 50 51 53 55 56 56 55 54 52 51 50 49 49 48 47 44 41 38 34 30 26 22 20 17 16 16 20 23 26 30 33 37 41 47 51 55 58 58 60 62 65 67 68 67 63 58 53 47 43 38 34 32 32 30 28 26 25 25 23 21 20 19 18 16 16 16 18 18 19 18 17 17 17 17 17 17 16 15 16 16 16 17 17 17 17 15 17 19 18 17 16 15 14 12 10 10 11 10 11 12 15 19 21 24 25 27 32 38 44 48 52 58 63 69 74 78 80 82 84 82 76 74 71 67 60 47 35 22 18 18 14 13 15 21 27 29 30 27 24 23 23 25 31 36 39 43 48 50 51 52 53 54 57 60 60 59 59 60 63 64 65 63 61 61 60 58 57 57 58 59 60 59 58 57 57 57 57 57 58 59 58 59 61 63 64 62 59 56 53 51 45 39 34 31 31 30 30 42 56 75 92 109 118 124 119 114 111 114 119 126 133 133 131 127 113 97 86 82 91 98 105 113 120 116 113 111 109 108 99 88 70 56 44 40 37 35 37 43 51 60 67 70 65 61 58 60 64 76 89 103 101 88 67 46 31 18 7 2 0 0 1 1 2 3 4 5 6 7 9 12 16 19 21 23 27 33 39 45 44 41 34 28 24 22 21 20 19 20 21 22 21 21 22 22 22 22 22 20 18 17 15 13 10 6 3 0 0 0 0 0 0 0 0 0 1 3 5 6 8 10 16 22 31 43 58 63 63 43 26 14 9 8 10 13 16 17 15 13 10
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8 8 8 9 9 9 9 9 9 8 8 8 8 8 7 8 9 9 9 9 9 10 10 11 11 11 11 12 12 12 13 13 13 14 14 13 12 12 12 12 11 12 13 13 13 13 13 13 13 13 13 13 14 13 14 14 15 14 14 13 13 13 13 14 14 15 16 16 17 19 19 20 19 19 18 17 17 16 15 17 18 18 17 16 14 13 13 13 14 14 13 12 13 15 16 16 16 17 16 16 16 16 16 15 15 14 13 11 10 11 11 9 7 5 4 5 6 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 3 3 2 2 2 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 8 7 6 4 2 2 2 2 2 2 3 4 5 6 7 8 11 14 18 22 23 24 25 25 25 24 23 24 25 27 30 32 33 31 28 27 27 28 30 32 35 38 40 43 45 46 46 45 44 44 44 45 47 48 49 49 49 49 48 46 42 38 33 28 25 23 23 23 24 25 26 27 29 32 35 39 42 45 48 50 52 53 55 57 59 60 60 60 59 57 54 50 45 42 40 37 35 34 32 30 28 27 25 24 22 20 19 18 18 18 18 17 17 18 18 17 16 16 15 14 13 13 14 13 12 12 12 13 13 13 13 13 12 11 10 10 9 10 11 11 11 12 12 11 11 10 10 11 11 14 17 19 20 20 21 22 23 23 23 24 23 23 25 27 31 36 42 42 39 34 29 26 26 27 30 32 33 34 34 34 35 34 34 33 32 32 30 29 29 30 31 31 31 32 32 34 35 36 40 46 49 51 51 50 48 49 50 49 49 49 48 47 45 43 43 43 44 44 43 44 45 45 46 46 46 46 45 43 39 34 28 24 20 20 25 36 56 80 106 132 158 176 185 186 183 176 169 164 157 149 140 131 118 100 76 72 78 85 96 116 124 120 104 85 73 64 63 61 58 51 43 35 33 38 40 41 46 53 60 67 74 72 66 61 58 57 59 63 69 74 78 78 72 68 65 54 41 24 10 3 0 0 2 3 4 5 5 5 6 8 9 8 6 5 6 9 11 12 13 14 16 20 26 32 35 29 23 17 16 17 21 25 26 26 25 24 24 22 20 17 14 11 8 5 3 1 0 0 0 0 0 0 0 0 0 1 3 4 6 10 19 24 22 22 23 29 36 41 43 37 31 24 21 18 18 18 19 18 17 14
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3 3 2 2 2 2 2 3 3 3 4 4 4 4 5 5 5 4 3 2 2 2 2 2 2 2 3 3 4 4 4 4 5 4 4 4 4 4 3 3 3 2 2 3 3 3 2 2 2 2 2 2 2 2 1 1 2 2 3 3 3 3 3 2 2 1 1 1 2 2 2 3 4 5 7 7 7 6 5 4 3 2 1 1 1 0 0 1 1 1 1 1 1 1 1 0 0 0 1 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 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 7 9 13 17 29 40 52 64 73 66 55 38 19 3 1 0 0 0 0 0 0 0 0 0 1 2 4 7 11 17 25 31 37 38 34 29 23 17 12 9 6 5 5 7 9 10 13 16 20 25 31 37 42 48 53 59 64 66 63 60 52 47 49 54 58 62 66 66 65 64 59 54 50 46 42 37 32 27 23 18 14 8 2 1 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 9 20 31 44 61 70 67 63 54 46 35 25 17 11 8 9 10 11 12 13 13 12 11 9 7 6 4 3 3 3 3 3 2 2 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 1 2 5 12 20 35 50 55 58 55 49 43 35 30 32 33 38 42 33 21 14 8 4 2 1 1 1 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 3 7 11 15 19 16 11 8 7 5 3 1 3 5 6 9 14 21 24 24 24 22 20 21 21 25 29 39 50 54 45 39 31 22 19 16 20 26 33 41 46 43 40 37 34 23 13 8 7 6 5 5 5 5 5 5 6 6 7 8 9 9 9 10 11 11 12 13 12 12 11 10 8 6 6 7 9 11 13 16 19 22 24 26 27 27 25 22 24 26 31 37 42 47 51 52 53
3 3 4 3 3 2 2 3 4 4 5 6 6 7 7 8 6 5 4 4 3 3 4 4 5 5 5 5 6 6 5 4 4 4 4 5 5 4 3 3 3 4 4 3 3 3 2 2 2 2 2 1 2 2 1 1 1 2 2 1 2 3 3 2 2 1 1 1 2 1 2 3 4 6 7 8 9 8 7 5 4 3 2 1 0 0 0 0 0 1 1 1 1 1 1 0 0 0 1 1 1 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 0 0 0 0 0 0 1 2 4 6 8 13 21 34 52 75 91 97 85 64 42 23 10 3 1 0 0 0 0 0 0 2 3 4 6 7 9 13 21 29 33 33 31 25 18 15 11 8 7 6 6 6 7 8 9 11 14 17 22 27 32 38 44 50 55 54 53 46 37 34 36 40 46 51 53 54 54 55 54 55 55 53 51 49 49 47 44 40 35 28 23 20 17 10 5 2 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 3 7 13 23 33 47 61 65 69 66 57 48 39 30 21 13 9 6 5 6 7 8 9 9 10 11 11 11 10 8 6 4 4 3 3 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 11 14 17 19 20 19 17 15 13 11 11 10 7 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 1 6 10 14 18 18 15 15 17 18 11 3 10 18 26 34 41 46 50 52 55 53 51 53 56 62 69 76 80 82 83 85 68 49 41 38 38 39 38 36 33 25 17 12 10 8 7 6 5 5 5 5 5 5 6 6 7 7 7 7 8 8 9 10 11 12 13 13 12 10 8 7 5 5 5 7 9 11 12 14 15 15 14 13 14 15 15 15 15 17 18 21 23 27 31 34 37
2 2 3 4 4 4 3 3 4 5 6 6 7 8 8 7 6 5 4 4 4 5 5 5 5 5 5 6 6 7 6 6 5 4 3 5 5 5 4 3 3 3 3 3 3 2 2 2 2 2 4 5 5 4 4 3 3 2 2 3 3 3 3 2 1 1 0 1 1 1 1 1 1 3 5 8 10 10 8 6 5 3 1 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 6 9 12 17 35 60 73 75 70 52 27 13 5 0 0 0 0 0 0 2 3 4 5 6 7 7 11 17 22 23 23 22 20 18 16 14 12 11 9 8 7 7 7 8 9 10 13 16 20 24 28 31 33 36 40 38 33 29 28 28 35 41 43 43 43 41 41 45 49 53 55 56 56 56 58 60 61 62 62 58 53 44 33 22 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 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 2 4 20 37 51 63 73 79 83 71 61 52 43 36 29 23 15 9 7 6 6 7 8 9 10 10 10 9 9 9 8 7 5 3 3 3 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 5 5 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 9 14 17 19 19 16 12 8 3 4 6 19 34 44 52 56 50 44 49 55 61 68 75 81 89 100 112 121 132 128 120 100 74 56 48 40 33 26 19 14 9 6 4 4 3 3 3 4 6 6 6 6 6 6 6 7 7 7 7 8 8 9 10 11 12 12 12 11 9 7 5 3 4 5 7 9 11 12 13 13 12 12 11 11 12 12 12 13 12 12 12 11 13 16 19 23
2 2 3 3 3 3 4 4 4 5 6 7 7 7 7 6 6 5 5 5 5 5 4 4 4 4 3 4 5 6 6 5 5 5 6 7 8 6 5 4 4 4 3 2 2 2 2 2 3 3 4 5 5 5 4 3 3 3 2 3 3 3 2 2 1 1 1 1 1 1 1 1 1 2 4 6 8 9 9 7 5 3 2 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 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 0 0 0 0 0 0 0 0 0 1 1 2 3 5 13 23 33 40 37 29 18 7 0 0 0 0 0 0 1 2 4 5 7 8 9 10 12 14 16 18 22 24 24 23 22 20 18 16 14 12 9 8 8 8 9 9 10 10 12 16 20 25 27 28 29 29 28 27 26 30 35 39 40 41 40 39 40 42 44 48 52 56 59 63 67 72 77 81 83 84 81 73 65 53 41 29 19 12 6 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 17 27 59 90 93 93 90 84 75 57 40 36 31 26 22 17 12 8 6 5 5 4 5 6 7 7 7 7 6 5 5 4 2 2 2 2 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 1 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 2 3 6 10 13 15 17 18 20 13 6 4 3 3 4 9 19 27 19 12 18 27 40 57 71 79 88 99 110 118 125 120 106 90 69 49 36 23 18 14 12 10 8 7 5 4 2 3 4 5 6 7 7 7 7 7 7 7 7 7 7 7 7 9 11 12 14 15 13 11 9 7 5 4 4 5 6 8 10 11 11 11 11 11 10 10 11 11 11 11 11 10 8 8 8 9 11 13
3 2 2 2 2 3 3 4 5 5 6 7 7 7 6 6 5 5 5 5 4 4 4 3 3 3 2 3 3 3 4 4 4 4 5 6 7 7 8 8 6 5 4 3 2 2 2 3 3 3 4 4 4 3 2 2 2 2 2 2 2 2 2 3 2 2 1 0 0 1 1 1 1 1 1 3 5 8 10 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 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 2 4 6 5 5 6 4 0 0 0 0 0 2 5 7 9 11 12 14 15 16 17 17 18 19 22 26 28 28 29 29 28 26 24 21 17 13 11 10 10 10 11 11 10 9 9 11 13 16 19 22 24 24 25 27 30 33 37 40 42 44 45 45 46 48 50 54 58 63 70 75 81 87 93 96 98 97 96 89 80 70 57 43 30 18 9 3 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 11 21 34 49 67 91 114 106 98 87 74 61 45 33 29 25 20 15 11 9 6 5 4 4 3 5 6 6 6 5 4 3 3 2 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 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 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 11 10 8 6 4 2 2 1 1 1 1 1 2 3 6 11 18 27 38 50 61 68 75 81 87 89 89 85 78 72 53 33 23 16 13 13 12 12 12 11 9 9 8 7 7 6 6 7 7 7 8 8 8 8 9 9 9 9 9 10 12 13 15 17 15 12 10 8 7 7 6 7 7 8 8 9 9 9 8 8 8 9 9 10 10 10 10 9 7 7 6 6 7 7
2 1 1 1 2 2 3 4 5 6 6 6 6 5 5 5 4 4 4 3 4 4 4 3 3 3 3 3 3 3 3 3 3 4 5 5 6 7 7 7 6 5 4 3 2 3 3 3 3 3 3 3 3 2 1 1 1 1 2 2 1 1 1 2 2 2 2 1 1 1 1 1 0 0 0 0 1 2 4 6 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 3 3 6 11 17 21 24 26 26 27 27 28 27 23 21 20 21 22 24 25 28 30 30 29 27 23 19 16 13 11 10 10 9 8 7 6 5 6 7 10 13 16 18 20 23 24 27 32 38 44 50 54 55 55 54 54 55 58 61 69 76 81 86 91 94 98 99 100 99 95 91 85 76 65 53 39 24 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 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 8 7 6 5 4 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 14 29 44 58 73 86 100 108 105 100 88 77 64 52 41 33 25 19 13 12 12 10 8 6 5 5 5 5 6 6 4 3 2 1 0 0 0 0 1 1 1 1 1 1 1 2 2 3 3 3 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 1 1 1 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 2 4 8 12 15 12 8 5 2 1 1 1 2 2 4 7 14 21 35 54 69 76 81 83 84 83 81 80 82 84 87 90 78 63 45 27 16 12 10 10 10 10 10 9 8 7 6 5 5 5 5 6 7 7 8 9 10 11 11 11 12 12 13 13 14 15 16 16 16 14 13 12 12 11 10 9 9 8 8 7 7 6 6 6 6 7 8 8 8 8 7 7 6 6 5 5 5 4
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