' Generates Magic Rectangles of order 2 x 5
' Tested with Office 2007 under Windows 7
Sub MgcRect52()
Dim a(10)
y = MsgBox("Locked", vbCritical, "Routine MgcRect52")
End
n2 = 0: n3 = 0: n9 = 0: k1 = 1: k2 = 1
m1 = 0: m2 = 16: s1 = 5 * m2
' Generate data
Sheets("Klad1").Select
t1 = Timer
For j1 = 1 To 10: a(j1) = 0: Next j1
For j10 = m1 To m2 'a(10)
a(10) = j10
For j9 = m1 To m2 'a(9)
If j9 = j10 Then GoTo 90
a(9) = j9
For j8 = m1 To m2 'a(8)
If j8 = j9 Or j8 = j10 Then GoTo 80
a(8) = j8
For j7 = m1 To m2 'a(7)
If j7 = j8 Or j7 = j9 Or j7 = j10 Then GoTo 70
a(7) = j7
a(6) = s1 / 2 - a(7) - a(8) - a(9) - a(10)
If a(6) < m1 Or a(6) > m2 Then GoTo 70
a(5) = s1 / 5 - a(10)
If a(5) < m1 Or a(5) > m2 Then GoTo 70
a(4) = s1 / 5 - a(9)
If a(4) < m1 Or a(4) > m2 Then GoTo 70
a(3) = s1 / 5 - a(8)
If a(3) < m1 Or a(3) > m2 Then GoTo 70
a(2) = s1 / 5 - a(7)
If a(2) < m1 Or a(2) > m2 Then GoTo 70
a(1) = s1 / 5 - a(6)
If a(1) < m1 Or a(1) > m2 Then GoTo 70
' Exclude solutions with identical numbers
GoSub 800: If fl1 = 0 Then GoTo 70
n9 = n9 + 1: GoSub 640 'Print results (selected numbers)
' n9 = n9 + 1: GoSub 650 'Print results (squares)
70 Next j7
80 Next j8
90 Next j9
100 Next j10
t2 = Timer
t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s1)
y = MsgBox(t10, 0, "Routine MgcRect52")
End
' Print results (selected numbers)
640 For i1 = 1 To 10
Cells(n9, i1).Value = a(i1)
Next i1
Return
' Print results (squares)
650 n2 = n2 + 1
If n2 = 5 Then
n2 = 1: k1 = k1 + 3: 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 2
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 10
a2 = a(j1)
For j2 = (1 + j1) To 10
If a2 = a(j2) Then fl1 = 0: Return
Next j2
Next j1
Return
End Sub
