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' Challenge 089
'
' TASK #2 � Magical Matrix
' Submitted by: Mohammad S Anwar
' Write a script to display matrix as below with numbers 1 - 9.
' Please make sure numbers are used once.
'
' [ a b c ]
' [ d e f ]
' [ g h i ]
' So that it satisfies the following:
'
' a + b + c = 15
' d + e + f = 15
' g + h + i = 15
' a + d + g = 15
' b + e + h = 15
' c + f + i = 15
' a + e + i = 15
' c + e + g = 15
' Brute force solution in Basic
Sub solve()
Dim a as Integer, b as Integer, c as Integer, d as Integer
Dim e as Integer, f as Integer, g as Integer, h as Integer, i as Integer
For a=1 To 9
For b=1 To 9
If b<>a Then
For c=1 To 9
If c<>a AndAlso c<>b Then
For d=1 To 9
If d<>a AndAlso d<>b AndAlso d<>c Then
For e=1 To 9
If e<>a AndAlso e<>b AndAlso e<>c AndAlso e<>d Then
For f=1 To 9
If f<>a AndAlso f<>b AndAlso f<>c AndAlso f<>d AndAlso f<>e Then
For g=1 To 9
If g<>a AndAlso g<>b AndAlso g<>c AndAlso g<>d AndAlso _
g<>e AndAlso g<>f Then
For h=1 To 9
If h<>a AndAlso h<>b AndAlso h<>c AndAlso h<>d AndAlso _
h<>e AndAlso h<>f AndAlso h<>g Then
For i=1 To 9
If i<>a AndAlso i<>b AndAlso i<>c AndAlso _
i<>d AndAlso i<>e AndAlso i<>f AndAlso _
i<>g AndAlso i<>h Then
If a + b + c = 15 AndAlso _
d + e + f = 15 AndAlso _
g + h + i = 15 AndAlso _
a + d + g = 15 AndAlso _
b + e + h = 15 AndAlso _
c + f + i = 15 AndAlso _
a + e + i = 15 AndAlso _
c + e + g = 15 Then
Print "[";a;b;c;" ]"
Print "[";d;e;f;" ]"
Print "[";g;h;i;" ]"
Exit Sub
EndIf
EndIf
Next i
EndIf
Next h
EndIf
Next g
EndIf
Next f
EndIf
Next e
EndIf
Next d
EndIf
Next c
EndIf
Next b
Next a
End Sub
solve
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