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 Three triplets (Posted on 2017-12-30)
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 No Rating

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 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\$

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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