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May 19th, 2012
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  1. S: [1, 2, 3, 4, 6, 9, 13, 19, 28, 41]
  2.  
  3. i= 4 Count = 2 , Subsets: [(2, 3, 4), (1, 2, 3, 4)]
  4.  
  5. i= 6 Count = 5 , Subsets: [(3, 4, 6), (1, 2, 4, 6), (1, 3, 4, 6), (2, 3, 4, 6), (1, 2, 3, 4, 6)]
  6.  
  7. i= 9 Count = 12 , Subsets: [(4, 6, 9), (1, 3, 6, 9), (1, 4, 6, 9), (2, 3, 6, 9), (2, 4, 6, 9), (3, 4, 6, 9), (1, 2, 3, 4, 9), (1, 2, 3, 6, 9), (1, 2, 4, 6, 9), (1, 3, 4, 6, 9), (2, 3, 4, 6, 9), (1, 2, 3, 4, 6, 9)]
  8.  
  9. i= 13 Count = 28 , Subsets: [(6, 9, 13), (1, 4, 9, 13), (1, 6, 9, 13), (2, 3, 9, 13), (2, 4, 9, 13), (2, 6, 9, 13), (3, 4, 9, 13), (3, 6, 9, 13), (4, 6, 9, 13), (1, 2, 3, 9, 13), (1, 2, 4, 9, 13), (1, 2, 6, 9, 13), (1, 3, 4, 6, 13), (1, 3, 4, 9, 13), (1, 3, 6, 9, 13), (1, 4, 6, 9, 13), (2, 3, 4, 6, 13), (2, 3, 4, 9, 13), (2, 3, 6, 9, 13), (2, 4, 6, 9, 13), (3, 4, 6, 9, 13), (1, 2, 3, 4, 6, 13), (1, 2, 3, 4, 9, 13), (1, 2, 3, 6, 9, 13), (1, 2, 4, 6, 9, 13), (1, 3, 4, 6, 9, 13), (2, 3, 4, 6, 9, 13), (1, 2, 3, 4, 6, 9, 13)]
  10.  
  11. i= 19 Count = 61 , Subsets: [(9, 13, 19), (1, 6, 13, 19), (1, 9, 13, 19), (2, 6, 13, 19), (2, 9, 13, 19), (3, 4, 13, 19), (3, 6, 13, 19), (3, 9, 13, 19), (4, 6, 13, 19), (4, 9, 13, 19), (6, 9, 13, 19), (1, 2, 4, 13, 19), (1, 2, 6, 13, 19), (1, 2, 9, 13, 19), (1, 3, 4, 13, 19), (1, 3, 6, 13, 19), (1, 3, 9, 13, 19), (1, 4, 6, 9, 19), (1, 4, 6, 13, 19), (1, 4, 9, 13, 19), (1, 6, 9, 13, 19), (2, 3, 4, 13, 19), (2, 3, 6, 9, 19), (2, 3, 6, 13, 19), (2, 3, 9, 13, 19), (2, 4, 6, 9, 19), (2, 4, 6, 13, 19), (2, 4, 9, 13, 19), (2, 6, 9, 13, 19), (3, 4, 6, 9, 19), (3, 4, 6, 13, 19), (3, 4, 9, 13, 19), (3, 6, 9, 13, 19), (4, 6, 9, 13, 19), (1, 2, 3, 4, 13, 19), (1, 2, 3, 6, 9, 19), (1, 2, 3, 6, 13, 19), (1, 2, 3, 9, 13, 19), (1, 2, 4, 6, 9, 19), (1, 2, 4, 6, 13, 19), (1, 2, 4, 9, 13, 19), (1, 2, 6, 9, 13, 19), (1, 3, 4, 6, 9, 19), (1, 3, 4, 6, 13, 19), (1, 3, 4, 9, 13, 19), (1, 3, 6, 9, 13, 19), (1, 4, 6, 9, 13, 19), (2, 3, 4, 6, 9, 19), (2, 3, 4, 6, 13, 19), (2, 3, 4, 9, 13, 19), (2, 3, 6, 9, 13, 19), (2, 4, 6, 9, 13, 19), (3, 4, 6, 9, 13, 19), (1, 2, 3, 4, 6, 9, 19), (1, 2, 3, 4, 6, 13, 19), (1, 2, 3, 4, 9, 13, 19), (1, 2, 3, 6, 9, 13, 19), (1, 2, 4, 6, 9, 13, 19), (1, 3, 4, 6, 9, 13, 19), (2, 3, 4, 6, 9, 13, 19), (1, 2, 3, 4, 6, 9, 13, 19)]
  12.  
  13. i= 28 Count = 128 , Subsets: [(13, 19, 28), (1, 9, 19, 28), (1, 13, 19, 28), (2, 9, 19, 28), (2, 13, 19, 28), (3, 9, 19, 28), (3, 13, 19, 28), (4, 6, 19, 28), (4, 9, 19, 28), (4, 13, 19, 28), (6, 9, 19, 28), (6, 13, 19, 28), (9, 13, 19, 28), (1, 2, 9, 19, 28), (1, 2, 13, 19, 28), (1, 3, 6, 19, 28), (1, 3, 9, 19, 28), (1, 3, 13, 19, 28), (1, 4, 6, 19, 28), (1, 4, 9, 19, 28), (1, 4, 13, 19, 28), (1, 6, 9, 13, 28), (1, 6, 9, 19, 28), (1, 6, 13, 19, 28), (1, 9, 13, 19, 28), (2, 3, 6, 19, 28), (2, 3, 9, 19, 28), (2, 3, 13, 19, 28), (2, 4, 6, 19, 28), (2, 4, 9, 19, 28), (2, 4, 13, 19, 28), (2, 6, 9, 13, 28), (2, 6, 9, 19, 28), (2, 6, 13, 19, 28), (2, 9, 13, 19, 28), (3, 4, 6, 19, 28), (3, 4, 9, 13, 28), (3, 4, 9, 19, 28), (3, 4, 13, 19, 28), (3, 6, 9, 13, 28), (3, 6, 9, 19, 28), (3, 6, 13, 19, 28), (3, 9, 13, 19, 28), (4, 6, 9, 13, 28), (4, 6, 9, 19, 28), (4, 6, 13, 19, 28), (4, 9, 13, 19, 28), (6, 9, 13, 19, 28), (1, 2, 3, 4, 19, 28), (1, 2, 3, 6, 19, 28), (1, 2, 3, 9, 19, 28), (1, 2, 3, 13, 19, 28), (1, 2, 4, 6, 19, 28), (1, 2, 4, 9, 13, 28), (1, 2, 4, 9, 19, 28), (1, 2, 4, 13, 19, 28), (1, 2, 6, 9, 13, 28), (1, 2, 6, 9, 19, 28), (1, 2, 6, 13, 19, 28), (1, 2, 9, 13, 19, 28), (1, 3, 4, 6, 19, 28), (1, 3, 4, 9, 13, 28), (1, 3, 4, 9, 19, 28), (1, 3, 4, 13, 19, 28), (1, 3, 6, 9, 13, 28), (1, 3, 6, 9, 19, 28), (1, 3, 6, 13, 19, 28), (1, 3, 9, 13, 19, 28), (1, 4, 6, 9, 13, 28), (1, 4, 6, 9, 19, 28), (1, 4, 6, 13, 19, 28), (1, 4, 9, 13, 19, 28), (1, 6, 9, 13, 19, 28), (2, 3, 4, 6, 19, 28), (2, 3, 4, 9, 13, 28), (2, 3, 4, 9, 19, 28), (2, 3, 4, 13, 19, 28), (2, 3, 6, 9, 13, 28), (2, 3, 6, 9, 19, 28), (2, 3, 6, 13, 19, 28), (2, 3, 9, 13, 19, 28), (2, 4, 6, 9, 13, 28), (2, 4, 6, 9, 19, 28), (2, 4, 6, 13, 19, 28), (2, 4, 9, 13, 19, 28), (2, 6, 9, 13, 19, 28), (3, 4, 6, 9, 13, 28), (3, 4, 6, 9, 19, 28), (3, 4, 6, 13, 19, 28), (3, 4, 9, 13, 19, 28), (3, 6, 9, 13, 19, 28), (4, 6, 9, 13, 19, 28), (1, 2, 3, 4, 6, 13, 28), (1, 2, 3, 4, 6, 19, 28), (1, 2, 3, 4, 9, 13, 28), (1, 2, 3, 4, 9, 19, 28), (1, 2, 3, 4, 13, 19, 28), (1, 2, 3, 6, 9, 13, 28), (1, 2, 3, 6, 9, 19, 28), (1, 2, 3, 6, 13, 19, 28), (1, 2, 3, 9, 13, 19, 28), (1, 2, 4, 6, 9, 13, 28), (1, 2, 4, 6, 9, 19, 28), (1, 2, 4, 6, 13, 19, 28), (1, 2, 4, 9, 13, 19, 28), (1, 2, 6, 9, 13, 19, 28), (1, 3, 4, 6, 9, 13, 28), (1, 3, 4, 6, 9, 19, 28), (1, 3, 4, 6, 13, 19, 28), (1, 3, 4, 9, 13, 19, 28), (1, 3, 6, 9, 13, 19, 28), (1, 4, 6, 9, 13, 19, 28), (2, 3, 4, 6, 9, 13, 28), (2, 3, 4, 6, 9, 19, 28), (2, 3, 4, 6, 13, 19, 28), (2, 3, 4, 9, 13, 19, 28), (2, 3, 6, 9, 13, 19, 28), (2, 4, 6, 9, 13, 19, 28), (3, 4, 6, 9, 13, 19, 28), (1, 2, 3, 4, 6, 9, 13, 28), (1, 2, 3, 4, 6, 9, 19, 28), (1, 2, 3, 4, 6, 13, 19, 28), (1, 2, 3, 4, 9, 13, 19, 28), (1, 2, 3, 6, 9, 13, 19, 28), (1, 2, 4, 6, 9, 13, 19, 28), (1, 3, 4, 6, 9, 13, 19, 28), (2, 3, 4, 6, 9, 13, 19, 28), (1, 2, 3, 4, 6, 9, 13, 19, 28)]
  14.  
  15. i= 41 Count = 265 , Subsets: [(19, 28, 41), (1, 13, 28, 41), (1, 19, 28, 41), (2, 13, 28, 41), (2, 19, 28, 41), (3, 13, 28, 41), (3, 19, 28, 41), (4, 13, 28, 41), (4, 19, 28, 41), (6, 9, 28, 41), (6, 13, 28, 41), (6, 19, 28, 41), (9, 13, 28, 41), (9, 19, 28, 41), (13, 19, 28, 41), (1, 2, 13, 28, 41), (1, 2, 19, 28, 41), (1, 3, 13, 28, 41), (1, 3, 19, 28, 41), (1, 4, 9, 28, 41), (1, 4, 13, 28, 41), (1, 4, 19, 28, 41), (1, 6, 9, 28, 41), (1, 6, 13, 28, 41), (1, 6, 19, 28, 41), (1, 9, 13, 19, 41), (1, 9, 13, 28, 41), (1, 9, 19, 28, 41), (1, 13, 19, 28, 41), (2, 3, 9, 28, 41), (2, 3, 13, 28, 41), (2, 3, 19, 28, 41), (2, 4, 9, 28, 41), (2, 4, 13, 28, 41), (2, 4, 19, 28, 41), (2, 6, 9, 28, 41), (2, 6, 13, 28, 41), (2, 6, 19, 28, 41), (2, 9, 13, 19, 41), (2, 9, 13, 28, 41), (2, 9, 19, 28, 41), (2, 13, 19, 28, 41), (3, 4, 9, 28, 41), (3, 4, 13, 28, 41), (3, 4, 19, 28, 41), (3, 6, 9, 28, 41), (3, 6, 13, 28, 41), (3, 6, 19, 28, 41), (3, 9, 13, 19, 41), (3, 9, 13, 28, 41), (3, 9, 19, 28, 41), (3, 13, 19, 28, 41), (4, 6, 9, 28, 41), (4, 6, 13, 19, 41), (4, 6, 13, 28, 41), (4, 6, 19, 28, 41), (4, 9, 13, 19, 41), (4, 9, 13, 28, 41), (4, 9, 19, 28, 41), (4, 13, 19, 28, 41), (6, 9, 13, 19, 41), (6, 9, 13, 28, 41), (6, 9, 19, 28, 41), (6, 13, 19, 28, 41), (9, 13, 19, 28, 41), (1, 2, 3, 9, 28, 41), (1, 2, 3, 13, 28, 41), (1, 2, 3, 19, 28, 41), (1, 2, 4, 9, 28, 41), (1, 2, 4, 13, 28, 41), (1, 2, 4, 19, 28, 41), (1, 2, 6, 9, 28, 41), (1, 2, 6, 13, 28, 41), (1, 2, 6, 19, 28, 41), (1, 2, 9, 13, 19, 41), (1, 2, 9, 13, 28, 41), (1, 2, 9, 19, 28, 41), (1, 2, 13, 19, 28, 41), (1, 3, 4, 6, 28, 41), (1, 3, 4, 9, 28, 41), (1, 3, 4, 13, 28, 41), (1, 3, 4, 19, 28, 41), (1, 3, 6, 9, 28, 41), (1, 3, 6, 13, 19, 41), (1, 3, 6, 13, 28, 41), (1, 3, 6, 19, 28, 41), (1, 3, 9, 13, 19, 41), (1, 3, 9, 13, 28, 41), (1, 3, 9, 19, 28, 41), (1, 3, 13, 19, 28, 41), (1, 4, 6, 9, 28, 41), (1, 4, 6, 13, 19, 41), (1, 4, 6, 13, 28, 41), (1, 4, 6, 19, 28, 41), (1, 4, 9, 13, 19, 41), (1, 4, 9, 13, 28, 41), (1, 4, 9, 19, 28, 41), (1, 4, 13, 19, 28, 41), (1, 6, 9, 13, 19, 41), (1, 6, 9, 13, 28, 41), (1, 6, 9, 19, 28, 41), (1, 6, 13, 19, 28, 41), (1, 9, 13, 19, 28, 41), (2, 3, 4, 6, 28, 41), (2, 3, 4, 9, 28, 41), (2, 3, 4, 13, 28, 41), (2, 3, 4, 19, 28, 41), (2, 3, 6, 9, 28, 41), (2, 3, 6, 13, 19, 41), (2, 3, 6, 13, 28, 41), (2, 3, 6, 19, 28, 41), (2, 3, 9, 13, 19, 41), (2, 3, 9, 13, 28, 41), (2, 3, 9, 19, 28, 41), (2, 3, 13, 19, 28, 41), (2, 4, 6, 9, 28, 41), (2, 4, 6, 13, 19, 41), (2, 4, 6, 13, 28, 41), (2, 4, 6, 19, 28, 41), (2, 4, 9, 13, 19, 41), (2, 4, 9, 13, 28, 41), (2, 4, 9, 19, 28, 41), (2, 4, 13, 19, 28, 41), (2, 6, 9, 13, 19, 41), (2, 6, 9, 13, 28, 41), (2, 6, 9, 19, 28, 41), (2, 6, 13, 19, 28, 41), (2, 9, 13, 19, 28, 41), (3, 4, 6, 9, 28, 41), (3, 4, 6, 13, 19, 41), (3, 4, 6, 13, 28, 41), (3, 4, 6, 19, 28, 41), (3, 4, 9, 13, 19, 41), (3, 4, 9, 13, 28, 41), (3, 4, 9, 19, 28, 41), (3, 4, 13, 19, 28, 41), (3, 6, 9, 13, 19, 41), (3, 6, 9, 13, 28, 41), (3, 6, 9, 19, 28, 41), (3, 6, 13, 19, 28, 41), (3, 9, 13, 19, 28, 41), (4, 6, 9, 13, 19, 41), (4, 6, 9, 13, 28, 41), (4, 6, 9, 19, 28, 41), (4, 6, 13, 19, 28, 41), (4, 9, 13, 19, 28, 41), (6, 9, 13, 19, 28, 41), (1, 2, 3, 4, 6, 28, 41), (1, 2, 3, 4, 9, 28, 41), (1, 2, 3, 4, 13, 19, 41), (1, 2, 3, 4, 13, 28, 41), (1, 2, 3, 4, 19, 28, 41), (1, 2, 3, 6, 9, 28, 41), (1, 2, 3, 6, 13, 19, 41), (1, 2, 3, 6, 13, 28, 41), (1, 2, 3, 6, 19, 28, 41), (1, 2, 3, 9, 13, 19, 41), (1, 2, 3, 9, 13, 28, 41), (1, 2, 3, 9, 19, 28, 41), (1, 2, 3, 13, 19, 28, 41), (1, 2, 4, 6, 9, 28, 41), (1, 2, 4, 6, 13, 19, 41), (1, 2, 4, 6, 13, 28, 41), (1, 2, 4, 6, 19, 28, 41), (1, 2, 4, 9, 13, 19, 41), (1, 2, 4, 9, 13, 28, 41), (1, 2, 4, 9, 19, 28, 41), (1, 2, 4, 13, 19, 28, 41), (1, 2, 6, 9, 13, 19, 41), (1, 2, 6, 9, 13, 28, 41), (1, 2, 6, 9, 19, 28, 41), (1, 2, 6, 13, 19, 28, 41), (1, 2, 9, 13, 19, 28, 41), (1, 3, 4, 6, 9, 19, 41), (1, 3, 4, 6, 9, 28, 41), (1, 3, 4, 6, 13, 19, 41), (1, 3, 4, 6, 13, 28, 41), (1, 3, 4, 6, 19, 28, 41), (1, 3, 4, 9, 13, 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28, 41), (3, 4, 9, 13, 19, 28, 41), (3, 6, 9, 13, 19, 28, 41), (4, 6, 9, 13, 19, 28, 41), (1, 2, 3, 4, 6, 9, 19, 41), (1, 2, 3, 4, 6, 9, 28, 41), (1, 2, 3, 4, 6, 13, 19, 41), (1, 2, 3, 4, 6, 13, 28, 41), (1, 2, 3, 4, 6, 19, 28, 41), (1, 2, 3, 4, 9, 13, 19, 41), (1, 2, 3, 4, 9, 13, 28, 41), (1, 2, 3, 4, 9, 19, 28, 41), (1, 2, 3, 4, 13, 19, 28, 41), (1, 2, 3, 6, 9, 13, 19, 41), (1, 2, 3, 6, 9, 13, 28, 41), (1, 2, 3, 6, 9, 19, 28, 41), (1, 2, 3, 6, 13, 19, 28, 41), (1, 2, 3, 9, 13, 19, 28, 41), (1, 2, 4, 6, 9, 13, 19, 41), (1, 2, 4, 6, 9, 13, 28, 41), (1, 2, 4, 6, 9, 19, 28, 41), (1, 2, 4, 6, 13, 19, 28, 41), (1, 2, 4, 9, 13, 19, 28, 41), (1, 2, 6, 9, 13, 19, 28, 41), (1, 3, 4, 6, 9, 13, 19, 41), (1, 3, 4, 6, 9, 13, 28, 41), (1, 3, 4, 6, 9, 19, 28, 41), (1, 3, 4, 6, 13, 19, 28, 41), (1, 3, 4, 9, 13, 19, 28, 41), (1, 3, 6, 9, 13, 19, 28, 41), (1, 4, 6, 9, 13, 19, 28, 41), (2, 3, 4, 6, 9, 13, 19, 41), (2, 3, 4, 6, 9, 13, 28, 41), (2, 3, 4, 6, 9, 19, 28, 41), (2, 3, 4, 6, 13, 19, 28, 41), (2, 3, 4, 9, 13, 19, 28, 41), (2, 3, 6, 9, 13, 19, 28, 41), (2, 4, 6, 9, 13, 19, 28, 41), (3, 4, 6, 9, 13, 19, 28, 41), (1, 2, 3, 4, 6, 9, 13, 19, 41), (1, 2, 3, 4, 6, 9, 13, 28, 41), (1, 2, 3, 4, 6, 9, 19, 28, 41), (1, 2, 3, 4, 6, 13, 19, 28, 41), (1, 2, 3, 4, 9, 13, 19, 28, 41), (1, 2, 3, 6, 9, 13, 19, 28, 41), (1, 2, 4, 6, 9, 13, 19, 28, 41), (1, 3, 4, 6, 9, 13, 19, 28, 41), (2, 3, 4, 6, 9, 13, 19, 28, 41), (1, 2, 3, 4, 6, 9, 13, 19, 28, 41)]
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