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13 and 2 (Posted on 2016-03-01) Difficulty: 2 of 5
Divide the set of integers from 1 to 15 into 2 subsets - a subset A of 13 numbers and B of 2 numbers so that the sum of the members of A equals the product of the two numbers in B.

No Solution Yet Submitted by Ady TZIDON    
Rating: 1.0000 (1 votes)

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computer still finds no solution | Comment 3 of 6 |
DefDbl A-Z
Dim crlf$


Private Sub Form_Load()
 Form1.Visible = True
 
 Text1.Text = ""
 crlf = Chr$(13) + Chr$(10)
 
 
 For a = 1 To 15
 For b = a + 1 To 16
   prod = a * b
   tot = 136 - a - b
   If prod = tot Then
     Text1.Text = Text1.Text & a & Str(b) & crlf
   End If
 Next
 Next
 
 Text1.Text = Text1.Text & crlf & " done"
  
End Sub

Of course a and b here are the two numbers that are to be multiplied and 136 is the total of all the numbers from 1 to 16.

  Posted by Charlie on 2016-03-01 09:17:38
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