' 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)

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
```