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' Generates (Pan) Magic Squares of order 5 based on Sudoku Comparable Squares


' Tested with Office 2007 under Windows 7

Sub CnstrSqrs5a()

    Dim b(2, 25), a(25), s(20)

    Sheets("Klad1").Select
    
y = MsgBox("Locked", vbCritical, "Routine CnstrCbs5a")
End
    
    n4 = 240                 'Sudoku51:  240
                             'Sudoku52:  960
                             'SudSqrs5: 4288 

    n2 = 0: n9 = 0: k1 = 1: k2 = 1
    s1 = 65
    
    t1 = Timer
    
    For j1 = 1 To n4
    
    For j2 = 1 To n4
    If j2 = j1 Then GoTo 20
        
        j10 = j1: j20 = 1: GoSub 100                 'Read Sudoku Comparable Square 1
        j10 = j2: j20 = 2: GoSub 100                 'Read Sudoku Comparable Square 2
        
        For j4 = 1 To 25
            a(j4) = b(1, j4) + 5 * b(2, j4) + 1
        Next j4
        
        GoSub 200: If fl1 = 0 Then GoTo 20           'Check Magic Sum
        GoSub 300: If fl1 = 0 Then GoTo 20           'Ckeck identical numbers

'********************** Only Counting **************************
       
        Cells(2, 1).Value = j1
        Cells(2, 2).Value = j2
 
        Cells(2, 4).Select: Cells(2, 4).Value = Cells(2, 4).Value + 1
       
'***************************************************************
                           
''       n9 = n9 + 1: GoSub 740 'Print results (selected numbers)
''       n9 = n9 + 1: GoSub 750 'Print results (squares)

20  Next j2
    
    Next j1
    
    t2 = Timer
    
    t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s1)
    y = MsgBox(t10, 0, "Routine CnstrSqrs5a")

End

'   Read Sudoku Comparable Squares

100 k11 = Int((j10 - 1) / 4)
    k12 = j10 - k11 * 4

    k21 = 1 + k11 * 6
    k22 = 1 + (k12 - 1) * 6

    i3 = 0
    For i1 = 1 To 5
       For i2 = 1 To 5
           i3 = i3 + 1
           b(j20, i3) = Sheets("Sudoku51").Cells(k21 + i1, k22 + i2).Value
       Next i2
    Next i1
    
    Return
    
'   Check Magic Sum
    
200 fl1 = 1
    s(1) = a(1) + a(2) + a(3) + a(4) + a(5)
    s(2) = a(6) + a(7) + a(8) + a(9) + a(10)
    s(3) = a(11) + a(12) + a(13) + a(14) + a(15)
    s(4) = a(16) + a(17) + a(18) + a(19) + a(20)
    s(5) = a(21) + a(22) + a(23) + a(24) + a(25)

    s(6) = a(1) + a(6) + a(11) + a(16) + a(21)
    s(7) = a(2) + a(7) + a(12) + a(17) + a(22)
    s(8) = a(3) + a(8) + a(13) + a(18) + a(23)
    s(9) = a(4) + a(9) + a(14) + a(19) + a(24)
    s(10) = a(5) + a(10) + a(15) + a(20) + a(25)

    s(11) = a(1) + a(7) + a(13) + a(19) + a(25)
    s(12) = a(5) + a(9) + a(13) + a(17) + a(21)
    
'   Pan Diagonals
    
    s(13) = a(2) + a(8) + a(14) + a(20) + a(21)
    s(14) = a(3) + a(9) + a(15) + a(16) + a(22)
    s(15) = a(4) + a(10) + a(11) + a(17) + a(23)
    s(16) = a(5) + a(6) + a(12) + a(18) + a(24)
    
    s(17) = a(4) + a(8) + a(12) + a(16) + a(25)
    s(18) = a(3) + a(7) + a(11) + a(20) + a(24)
    s(19) = a(2) + a(6) + a(15) + a(19) + a(23)
    s(20) = a(1) + a(10) + a(14) + a(18) + a(22)
    
    For i1 = 1 To 20                                 '12 for Magic, 20 for Pan Magic
        If s(i1) <> s1 Then fl1 = 0: Return
    Next i1
    
    Return
    
'   Check identical numbers
    
300 fl1 = 1
    For i1 = 1 To 25
       a2 = a(i1)
       For i2 = (1 + i1) To 25
           If a2 = a(i2) Then fl1 = 0: Return
       Next i2
    Next i1
    Return
    
'   Print results (selected numbers)

740 Cells(n9, 25).Select
    For i1 = 1 To 25
        Cells(n9, i1).Value = a(i1)
    Next i1
    Cells(n9, 27).Value = j1
    Cells(n9, 28).Value = j2
    Return

'   Print results (squares)

750 n2 = n2 + 1
    If n2 = 5 Then
       n2 = 1: k1 = k1 + 6: 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 5
       For i2 = 1 To 5
           i3 = i3 + 1
           Cells(k1 + i1, k2 + i2).Value = a(i3)
       Next i2
    Next i1
    
    Return
    
End Sub

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