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Divide et impera (Posted on 2015-08-18) Difficulty: 2 of 5
Divide the set of integers from 1 to 15 into two subsets A & B,
so that the sum of the numbers in A equals the product
of the numbers in B.

  Submitted by Ady TZIDON    
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Solution: (Hide)
There exist 3 solutions:

1.Set A: (1 2 4 6 8 9 10 11 12 13 14 15)
Set B: (3 5 7) SUM=PROD= 105

2.Set A: (2 3 4 5 6 7 8 10 12 13 14 15)
Set B: (1 9 11) SUM=PROD= 99

3.Set A: (2 3 4 5 6 8 9 10 11 12 13 15)
Set B: (1 7 14)SUM=PROD= 98

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Hints/Tipsre: three computer solutionsJer2015-08-18 12:50:35
Solutionthree computer solutionsCharlie2015-08-18 12:02:45
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