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' Generates Essential Different Borders for Eccentric Magic Squares of order 6

' Tested with Office 365 under Windows 10

Sub MgcSqr6e2()

    Dim a1(20), a(36), b1(36), b(36), c(36)

y = MsgBox("Locked", vbCritical, "Routine MgcSqr6e2")
End

    k1 = 1: k2 = 1: n1 = 0: n2 = 0: n9 = 0

'   Define variables

    a1(1) = 1: a1(2) = 2: a1(3) = 3: a1(4) = 4: a1(5) = 5: a1(6) = 6:
    a1(7) = 7: a1(8) = 8: a1(9) = 9: a1(10) = 10:
    a1(11) = 27: a1(12) = 28: a1(13) = 29: a1(14) = 30: a1(15) = 31: a1(16) = 32:
    a1(17) = 33: a1(18) = 34: a1(19) = 35: a1(20) = 36:

    For i1 = 1 To 20
        b1(a1(i1)) = a1(i1)
    Next i1

    m1 = 1: m2 = 20: s1 = 111: p2 = 37

    t1 = Timer

    Sheets("Klad1").Select

For j100 = 2 To 30
s2 = Sheets("Att696").Cells(j100, 1).Value
                                            
If s2 = 0 Then GoTo 1000

'   Generate Border

n9 = 0
For j31 = m1 To m2                                                'a(31)
If b(a1(j31)) = 0 Then b(a1(j31)) = a1(j31): c(31) = a1(j31) Else GoTo 310
a(31) = a1(j31)

a(32) = p2 - a(31)
If a(32) < a1(m1) Or a(32) > a1(m2) Then GoTo 320
If b1(a(32)) = 0 Then GoTo 320
If b(a(32)) = 0 Then b(a(32)) = a(32): c(32) = a(32) Else GoTo 320

For j26 = m1 To m2                                           'a(26)
If b(a1(j26)) = 0 Then b(a1(j26)) = a1(j26): c(26) = a1(j26) Else GoTo 260
a(26) = a1(j26)

a(25) = p2 - a(26)
If a(25) < a1(m1) Or a(25) > a1(m2) Then GoTo 250
If b1(a(25)) = 0 Then GoTo 250
If b(a(25)) = 0 Then b(a(25)) = a(25): c(25) = a(25) Else GoTo 250

For j11 = m1 To m2                                          'a(11)
If b(a1(j11)) = 0 Then b(a1(j11)) = a1(j11): c(11) = a1(j11) Else GoTo 110
a(11) = a1(j11)

a(5) = p2 - a(11)
If a(5) < a1(m1) Or a(5) > a1(m2) Then GoTo 50
If b1(a(5)) = 0 Then GoTo 50
If b(a(5)) = 0 Then b(a(5)) = a(5): c(5) = a(5) Else GoTo 50

a(6) = s1 - a(11) - s2 - a(26) - a(31)
If a(6) < a1(m1) Or a(6) > a1(m2) Then GoTo 60
If b1(a(6)) = 0 Then GoTo 60
If b(a(6)) = 0 Then b(a(6)) = a(6): c(6) = a(6) Else GoTo 60

a(12) = p2 - a(6)
If a(12) < a1(m1) Or a(12) > a1(m2) Then GoTo 120
If b1(a(12)) = 0 Then GoTo 120
If b(a(12)) = 0 Then b(a(12)) = a(12): c(12) = a(12) Else GoTo 120

' Left Corner

For j8 = m1 To m2                                           'a(8)
If b(a1(j8)) = 0 Then b(a1(j8)) = a1(j8): c(8) = a1(j8) Else GoTo 80
a(8) = a1(j8)

a(1) = p2 - a(8)
If a(1) < a1(m1) Or a(1) > a1(m2) Then GoTo 10
If a(1) < a(8) Then GoTo 10                                   'Prevent Row/Clmn Permutations
If b1(a(1)) = 0 Then GoTo 10
If b(a(1)) = 0 Then b(a(1)) = a(1): c(1) = a(1) Else GoTo 10

For j7 = j8 + 1 To m2                                         'Prevent Row/Clmn Permutations
If b(a1(j7)) = 0 Then b(a1(j7)) = a1(j7): c(7) = a1(j7) Else GoTo 70
a(7) = a1(j7)

a(2) = p2 - a(7)
If a(2) < a1(m1) Or a(2) > a1(m2) Then GoTo 20
If b1(a(2)) = 0 Then GoTo 20
If a(2) > a(7) Then GoTo 20                                   'Prevent Mirror (Axes)
If a(2) < a(8) Then GoTo 20                                   'Prevent Row/Clmn Permutations
If b(a(2)) = 0 Then b(a(2)) = a(2): c(2) = a(2) Else GoTo 20

For j20 = m1 To m2                                          'a(20)
If b(a1(j20)) = 0 Then b(a1(j20)) = a1(j20): c(20) = a1(j20) Else GoTo 200
a(20) = a1(j20)

a(19) = p2 - a(20)
If a(19) < a1(m1) Or a(19) > a1(m2) Then GoTo 190
If b1(a(19)) = 0 Then GoTo 190
If b(a(19)) = 0 Then b(a(19)) = a(19): c(19) = a(19) Else GoTo 190

a(14) = s1 - a(20) - a(26) - a(32) - a(8) - a(2)
If a(14) < a1(m1) Or a(14) > a1(m2) Then GoTo 140
If b1(a(14)) = 0 Then GoTo 140
If a(14) > a(20) Then GoTo 140                                 'Prevent Permutation a(14), a(20)
If b(a(14)) = 0 Then b(a(14)) = a(14): c(14) = a(14) Else GoTo 140

a(13) = p2 - a(14)
If a(13) < a1(m1) Or a(13) > a1(m2) Then GoTo 130
If b1(a(13)) = 0 Then GoTo 130
If b(a(13)) = 0 Then b(a(13)) = a(13): c(13) = a(13) Else GoTo 130

For j10 = m1 To m2                                          'a(10)
If b(a1(j10)) = 0 Then b(a1(j10)) = a1(j10): c(10) = a1(j10) Else GoTo 100
a(10) = a1(j10)

a(4) = p2 - a(10)
If a(4) < a1(m1) Or a(4) > a1(m2) Then GoTo 40
If b1(a(4)) = 0 Then GoTo 40
If b(a(4)) = 0 Then b(a(4)) = a(4): c(4) = a(4) Else GoTo 40

a(9) = s1 - a(7) - a(8) - a(10) - a(11) - a(12)
If a(9) < a1(m1) Or a(9) > a1(m2) Then GoTo 90
If b1(a(9)) = 0 Then GoTo 90
If a(9) > a(10) Then GoTo 90                                 'Prevent Permutation a(9), a(10)
If b(a(9)) = 0 Then b(a(9)) = a(9): c(9) = a(9) Else GoTo 90

a(3) = p2 - a(9)
If a(3) < a1(m1) Or a(3) > a1(m2) Then GoTo 30
If b1(a(3)) = 0 Then GoTo 30
If b(a(3)) = 0 Then b(a(3)) = a(3): c(3) = a(3) Else GoTo 30

'                           n9 = n9 + 1: GoSub 640 'Print results    (selected numbers)
'                           n9 = n9 + 1: GoSub 650 'Print results    (squares)
                            n9 = n9 + 1: Cells(j100, 2).Value = n9   'Counting

'                           Erase b, c: GoTo 310    'Print only first square for j31

     b(c(3)) = 0: c(3) = 0
30   b(c(9)) = 0: c(9) = 0
90   b(c(4)) = 0: c(4) = 0
40   b(c(10)) = 0: c(10) = 0
100  Next j10

     b(c(13)) = 0: c(13) = 0
130  b(c(14)) = 0: c(14) = 0
140  b(c(19)) = 0: c(19) = 0
190  b(c(20)) = 0: c(20) = 0
200  Next j20
   
   b(c(2)) = 0: c(2) = 0
20 b(c(7)) = 0: c(7) = 0
70 Next j7
   
   b(c(1)) = 0: c(1) = 0
10 b(c(8)) = 0: c(8) = 0
80 Next j8
     
     b(c(12)) = 0: c(12) = 0
120  b(c(6)) = 0: c(6) = 0
60   b(c(5)) = 0: c(5) = 0
50   b(c(11)) = 0: c(11) = 0
110  Next j11

    b(c(25)) = 0: c(25) = 0
250 b(c(26)) = 0: c(26) = 0
260 Next j26

    b(c(32)) = 0: c(32) = 0
320 b(c(31)) = 0: c(31) = 0
310 Next j31

1000 Next j100

   t2 = Timer
    
   t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s1)
   y = MsgBox(t10, 0, "Routine MgcSqr6e2")

End

'   Print results (selected numbers)

640 For i1 = 1 To 36
        Cells(n9, i1).Value = a(i1)
    Next i1
    Cells(n9, 37).Value = n9
    Return

'   Print results (squares)

650 n2 = n2 + 1
    If n2 = 5 Then
        n2 = 1: k1 = k1 + 7: k2 = 1
    Else
        If n9 > 1 Then k2 = k2 + 7
    End If

    Cells(k1, k2 + 1).Select
    Cells(k1, k2 + 1).Font.Color = -4165632
    Cells(k1, k2 + 1).Value = n9 ''"MC = " + CStr(s1)
    Cells(k1, k2 + 2).Font.Color = -4165632
    Cells(k1, k2 + 2).Value = s2
    
    i3 = 0
    For i1 = 1 To 6
        For i2 = 1 To 6
            i3 = i3 + 1
            Cells(k1 + i1, k2 + i2).Value = a(i3)
        Next i2
    Next i1

    Return

End Sub

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