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' Generates Ultra Magic Squares of order 5 (Pan Magic Symmetric Squares)

' Tested with Office 2007 under Windows 7

Sub MgcSqr5c()

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

y = MsgBox("Locked", vbCritical, "Routine MgcSqr5c")
End

n2 = 0: n3 = 0: n9 = 0
m1 = 1: m2 = 25: s1 = 65

'   Generate data
    
    Sheets("Klad1").Select
    
    t1 = Timer

    For j25 = m1 To m2                                          'a(25)
    If b(j25) = 0 Then b(j25) = j25: c(25) = j25 Else GoTo 250
    a(25) = j25
    For j24 = m1 To m2                                          'a(24)
    If b(j24) = 0 Then b(j24) = j24: c(24) = j24 Else GoTo 240
    a(24) = j24
    For j23 = m1 To m2                                          'a(23)
    If b(j23) = 0 Then b(j23) = j23: c(23) = j23 Else GoTo 230
    a(23) = j23
    For j22 = m1 To m2                                          'a(22)
    If b(j22) = 0 Then b(j22) = j22: c(22) = j22 Else GoTo 220
    a(22) = j22
    
    a(21) = 65 - a(22) - a(23) - a(24) - a(25): If a(21) <= 0 Or a(21) > 25 Then GoTo 180
    a(20) = 39 - a(24) - a(25): If a(20) <= 0 Or a(20) > 25 Then GoTo 180
    a(19) = 39 + a(22) - a(23) - a(24) - a(25): If a(19) <= 0 Or a(19) > 25 Then GoTo 180
    a(18) = 39 - a(22) - a(24): If a(18) <= 0 Or a(18) > 25 Then GoTo 180
    a(17) = -26 + 2 * a(24) + a(25): If a(17) <= 0 Or a(17) > 25 Then GoTo 180
    a(16) = -26 + a(23) + a(24) + a(25): If a(16) <= 0 Or a(16) > 25 Then GoTo 180
    a(15) = 13 - a(22) + a(24): If a(15) <= 0 Or a(15) > 25 Then GoTo 180
    a(14) = -52 + a(23) + 2 * a(24) + 2 * a(25): If a(14) <= 0 Or a(14) > 25 Then GoTo 180
    a(13) = 13
    a(12) = 26 - a(14): If a(12) <= 0 Or a(12) > 25 Then GoTo 180
    a(11) = 26 - a(15): If a(11) <= 0 Or a(11) > 25 Then GoTo 180
    a(10) = 26 - a(16): If a(10) <= 0 Or a(10) > 25 Then GoTo 180
    a(9) = 26 - a(17): If a(9) <= 0 Or a(9) > 25 Then GoTo 180
    a(8) = 26 - a(18): If a(8) <= 0 Or a(8) > 25 Then GoTo 180
    a(7) = 26 - a(19): If a(7) <= 0 Or a(7) > 25 Then GoTo 180
    a(6) = 26 - a(20): If a(6) <= 0 Or a(6) > 25 Then GoTo 180
    a(5) = 26 - a(21): If a(5) <= 0 Or a(5) > 25 Then GoTo 180
    a(4) = 26 - a(22): If a(4) <= 0 Or a(4) > 25 Then GoTo 180
    a(3) = 26 - a(23): If a(3) <= 0 Or a(3) > 25 Then GoTo 180
    a(2) = 26 - a(24): If a(2) <= 0 Or a(2) > 25 Then GoTo 180
    a(1) = 26 - a(25): If a(1) <= 0 Or a(1) > 25 Then GoTo 180

'                          Exclude solutions with identical numbers

                           GoSub 800: If fl1 = 0 Then GoTo 180

                           n9 = n9 + 1
                           GoSub 650 'Print results (squares)
'                          GoSub 640 'Print results (selected numbers)

180 b(c(22)) = 0: c(22) = 0
220 Next j22
    b(c(23)) = 0: c(23) = 0
230 Next j23
    b(c(24)) = 0: c(24) = 0
240 Next j24
    b(c(25)) = 0: c(25) = 0
250 Next j25

    t2 = Timer
    
    t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s1)
    y = MsgBox(t10, 0, "Routine MgcSqr5c")

End

'   Print results (selected numbers)

640 For i1 = 1 To 25
        Cells(n9, i1).Value = a(i1)
    Next i1
    
    Return

'   Print results (squares)

650 n2 = n2 + 1
    If n2 = 5 Then
        n2 = 1: k1 = k1 + 6: k2 = 0
    Else
        If n9 > 1 Then k2 = k2 + 6
    End If

    Cells(k1 + 1, k2 + 1).Select
    
    i3 = 0
    For i1 = 1 To 5
        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 25
       a2 = a(j1)
       For j2 = (1 + j1) To 25
           If a2 = a(j2) Then fl1 = 0: GoTo 850
       Next j2
    Next j1
850 Return

End Sub

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