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' Constructs Euler - and Magic Squares of order 3

' Tested with Office 2007 under Windows 7

Sub CnstrSqrs3a()

    Dim b(2, 9), a(9), m(9)

    Sheets("Klad1").Select
    
y = MsgBox("Locked", vbExclamation, "Routine CnstrSqrs3a")
End

    n2 = 0: n9 = 0: k1 = 1: k2 = 1
    s1 = 15
    
    t1 = Timer
    
    For j1 = 2 To 13
    For j2 = 2 To 13
    If j2 = j1 Then GoTo 20
        
        j10 = j1: j20 = 1: GoSub 100                        'Read Latin Square 1
        j10 = j2: j20 = 2: GoSub 100                        'Read Latin Square 2
        
        For j4 = 1 To 9
            a(j4) = b(1, j4) + 3 * b(2, j4) + 1             'Semi  Magic Square
            m(j4) = CStr(b(1, j4)) + ", " + CStr(b(2, j4))  'Euler Square
        Next j4
        
        GoSub 300: If fl1 = 0 Then GoTo 20                  'Check identical numbers
        GoSub 200                                           'Check Diagonals
                           
'       n9 = n9 + 1: GoSub 640 'Print results (selected numbers)
'       n9 = n9 + 1: GoSub 650 'Print results (squares)
        n9 = n9 + 1: GoSub 600 'Print results (Euler Squares)

20  Next j2
    Next j1
    
    t2 = Timer
    
    t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s1)
    y = MsgBox(t10, vbInformation, "Routine CnstrSqrs3a")

End

'   Read Latin Squares (Line Format)

100 For i1 = 1 To 9
        b(j20, i1) = Sheets("Lines311").Cells(j10, i1).Value
    Next i1
    
    Return
    
'   Check Diagonals
    
200 nDia = 0
    
    If a(1) + a(5) + a(9) = 15 Then nDia = nDia + 1
    If a(3) + a(5) + a(7) = 15 Then nDia = nDia + 1
    
    Return
    
'   Check identical numbers
    
300 fl1 = 1
    For i1 = 1 To 9
       a2 = a(i1)
       For i2 = (1 + i1) To 9
           If a2 = a(i2) Then fl1 = 0: Return
       Next i2
    Next i1
    Return
    
'   Print results (Euler Squares)

600 n1 = n1 + 1
    If n1 = 5 Then
        n1 = 1: k1 = k1 + 4: k2 = 1
    Else
        If n9 > 1 Then k2 = k2 + 4
    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 3
            i3 = i3 + 1
             Cells(k1 + i1, k2 + i2).Value = m(i3)
        Next i2
    Next i1
    Return
    
'   Print results (selected numbers)

640 Cells(n9, 10).Select
    For i1 = 1 To 9
        Cells(n9, i1).Value = a(i1)
    Next i1
    Cells(n9, 10).Value = n9
    Cells(n9, 11).Value = j1 - 1
    Cells(n9, 12).Value = j2 - 1
    Cells(n9, 13).Value = nDia
    Return

'   Print results (squares)

650 n1 = n1 + 1
    If n1 = 5 Then
        n1 = 1: k1 = k1 + 4: k2 = 1
    Else
        If n9 > 1 Then k2 = k2 + 4
    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 3
            i3 = i3 + 1
            Cells(k1 + i1, k2 + i2).Value = a(i3)
        Next i2
    Next i1
    Return
   
End Sub

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