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' Generates Associated Magic Rectangles of order 3 x 5

' Tested with Office 2007 under Windows 7

Sub MgcSqr35()

Dim a(25), b(15), c(15)

y = MsgBox("Locked", vbCritical, "Routine MgcSqr35")
End

n2 = 0: k1 = 1: k2 = 1: n9 = 0
m1 = 1: m2 = 15: c1 = (m1 + m2) / 2

'   Generate data
    
    Sheets("Klad1").Select
    
    t1 = Timer
    
a(8) = c1: b(a(8)) = a(8)

For j15 = m1 To m2                                          'a(15)
If b(j15) = 0 Then b(j15) = j15: c(15) = j15 Else GoTo 150
a(15) = j15

For j14 = m1 To m2                                          'a(14)
If b(j14) = 0 Then b(j14) = j14: c(14) = j14 Else GoTo 140
a(14) = j14

For j13 = m1 To m2                                          'a(13)
If b(j13) = 0 Then b(j13) = j13: c(13) = j13 Else GoTo 130
a(13) = j13

For j12 = m1 To m2                                          'a(12)
If b(j12) = 0 Then b(j12) = j12: c(12) = j12 Else GoTo 120
a(12) = j12

    a(11) = 5 * c1 - a(12) - a(13) - a(14) - a(15)
    If a(11) < m1 Or a(11) > m2 Then GoTo 110
    a(10) = c1 + a(11) - a(15)
    If a(10) < m1 Or a(10) > m2 Then GoTo 110
    a(9) = c1 + a(12) - a(14)
    If a(9) < m1 Or a(9) > m2 Then GoTo 110
    a(7) = 2 * c1 - a(9)
    a(6) = 2 * c1 - a(10)
    a(5) = 2 * c1 - a(11)
    a(4) = 2 * c1 - a(12)
    a(3) = 2 * c1 - a(13)
    a(2) = 2 * c1 - a(14)
    a(1) = 2 * c1 - a(15)

'                           Exclude solutions with identical numbers

                            GoSub 800: If fl1 = 0 Then GoTo 110
                           
                            n9 = n9 + 1: GoSub 640 'Print results (selected numbers)
'                           n9 = n9 + 1: GoSub 650 'Print results (squares)
   
110 b(c(12)) = 0: c(12) = 0
120 Next j12
    
    b(c(13)) = 0: c(13) = 0
130 Next j13
    
    b(c(14)) = 0: c(14) = 0
140 Next j14
    
    b(c(15)) = 0: c(15) = 0
150 Next j15

   t2 = Timer
    
   t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s1)
   y = MsgBox(t10, 0, "Routine MgcSqr35")

End

'   Print results (selected numbers)

640 For i1 = 1 To 15
        Cells(n9, i1).Value = a(i1)
    Next i1
    
    Return

'   Print results (rectangles)

650 n2 = n2 + 1
    If n2 = 5 Then
        n2 = 1: k1 = k1 + 4: k2 = 1
    Else
        If n9 > 1 Then k2 = k2 + 6
    End If
    
    Cells(k1, k2 + 1).Select
    Cells(k1, k2 + 1).Font.Color = -4165632
    Cells(k1, k2 + 1).Value = n9
    
    i3 = 0
    For i1 = 1 To 3
        For i2 = 1 To 5
            i3 = i3 + 1
            Cells(k1 + i1, k2 + i2).Value = a(i3)
        Next i2
    Next i1

    Return

'   Exclude solutions with identical numbers

800 fl1 = 1
    For j1 = 1 To 15
       a2 = a(j1)
       For j2 = (1 + j1) To 15
           If a2 = a(j2) Then fl1 = 0: GoTo 850
       Next j2
    Next j1
850 Return

End Sub

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