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Three triplets (Posted on 2017-12-30) Difficulty: 2 of 5
The 9-pandigital number N=abcdefghi can be divided into 3 triplets: abc, def, ghi relating 1:2:3.

Find N.

No Solution Yet Submitted by Ady TZIDON    
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Solution computer solution finds one more | Comment 2 of 6 |
192384576
219438657
267534801
273546819
327654981

but one of the above is wrong. It has a zero instead of a 9. The program only checked for all different digits--not for the presence of all non-zero digits. 

DefDbl A-Z
Dim crlf$


Private Sub Form_Load()
 Form1.Visible = True
 
 
 Text1.Text = ""
 crlf = Chr$(13) + Chr$(10)
 
 For a = 1 To 3
 For b = 1 To 9
   If b <> a Then
     For c = 1 To 9
       If c <> b And c <> a Then
         part1 = 100 * a + 10 * b + c
         part2 = 2 * part1
         part3 = 3 * part1
         s$ = LTrim(Str(part1)) + LTrim(Str(part2)) + LTrim(Str(part3))
         good = 1
         For i = 2 To 9
           If InStr(s, Mid(s, i, 1)) <> i Then good = 0: Exit For
         Next
         If good And Len(s) = 9 Then Text1.Text = Text1.Text & s & crlf
       End If
     Next
   End If
 Next
 Next
 Text1.Text = Text1.Text & crlf & " done"
  
End Sub

Edited on December 31, 2017, 8:00 am
  Posted by Charlie on 2017-12-30 15:37:48

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