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' Generates Prime Number Concentric Magic Squares of order 13
' Diamond Inlays order 7

' Tested with Office 365 under Windows 10

Sub MgcSqr13a()

Dim a1(2448), a(169), b(43300), b1(43300), c(169)

y = MsgBox("Locked", vbCritical, "Routine MgcSqr13a")
End

    n5 = 0: n9 = 0: n10 = 0: k1 = 1: k2 = 1

    Sheets("Klad1").Select
    
    t1 = Timer

For j101 = 12 To 14

'   Read Order 11 Conc Square / Diamond Inlay

    Erase b
    For i1 = 1 To 169
        a(i1) = Sheets("DiaLns11").Cells(j101, i1):
        If a(i1) <> 0 Then b(a(i1)) = a(i1)
    Next i1
   j100 = Sheets("DiaLns7").Cells(j101, 171):

'   Define variables

    p2 = Sheets("Pairs7").Cells(j100, 1).Value      'Pair Sum
    s1 = 13 * p2 / 2
    nVar1 = Sheets("Pairs7").Cells(j100, 9).Value
    
    For i1 = 1 To nVar1
        a1(i1) = Sheets("Pairs7").Cells(j100, 9 + i1).Value
    Next i1

    m1 = 1: m2 = nVar1
    If a1(1) = 1 Then m1 = 2: m2 = m2 - 1
    
    Erase b1

    For i1 = m1 To m2
        b1(a1(i1)) = a1(i1)
    Next i1

'  Complete Border

n10 = 0
For j169 = m2 To m1 Step -1                                                        'a(169)
If b(a1(j169)) = 0 Then b(a1(j169)) = a1(j169): c(169) = a1(j169) Else GoTo 1690
a(169) = a1(j169)

a(1) = p2 - a(169): If b(a(1)) = 0 Then b(a(1)) = a(1): c(1) = a(1) Else GoTo 10

For j168 = j169 - 1 To m1 Step -1                                                  'a(168)
If b(a1(j168)) = 0 Then b(a1(j168)) = a1(j168): c(168) = a1(j168) Else GoTo 1680
a(168) = a1(j168)

a(12) = p2 - a(168): If b(a(12)) = 0 Then b(a(12)) = a(12): c(12) = a(12) Else GoTo 120

For j167 = j168 - 1 To m1 Step -1                                                  'a(167)
If b(a1(j167)) = 0 Then b(a1(j167)) = a1(j167): c(167) = a1(j167) Else GoTo 1670
a(167) = a1(j167)

a(11) = p2 - a(167): If b(a(11)) = 0 Then b(a(11)) = a(11): c(11) = a(11) Else GoTo 110

For j166 = j167 - 1 To m1 Step -1                                                  'a(166)
If b(a1(j166)) = 0 Then b(a1(j166)) = a1(j166): c(166) = a1(j166) Else GoTo 1660
a(166) = a1(j166)

a(10) = p2 - a(166): If b(a(10)) = 0 Then b(a(10)) = a(10): c(10) = a(10) Else GoTo 100

For j165 = j166 - 1 To m1 Step -1                                                  'a(165)
If b(a1(j165)) = 0 Then b(a1(j165)) = a1(j165): c(165) = a1(j165) Else GoTo 1650
a(165) = a1(j165)

a(9) = p2 - a(165): If b(a(9)) = 0 Then b(a(9)) = a(9): c(9) = a(9) Else GoTo 90

For j164 = j165 - 1 To m1 Step -1                                                  'a(164)
If b(a1(j164)) = 0 Then b(a1(j164)) = a1(j164): c(164) = a1(j164) Else GoTo 1640
a(164) = a1(j164)

a(8) = p2 - a(164): If b(a(8)) = 0 Then b(a(8)) = a(8): c(8) = a(8) Else GoTo 80

For j157 = m1 To m2                                                                'a(157)
If b(a1(j157)) = 0 Then b(a1(j157)) = a1(j157): c(157) = a1(j157) Else GoTo 1570
a(157) = a1(j157)

a(13) = p2 - a(157): If b(a(13)) = 0 Then b(a(13)) = a(13): c(13) = a(13) Else GoTo 130

For j162 = j157 + 1 To m2                                                     'a(162)
If b(a1(j162)) = 0 Then b(a1(j162)) = a1(j162): c(162) = a1(j162) Else GoTo 1620
a(162) = a1(j162)

a(6) = p2 - a(162): If b(a(6)) = 0 Then b(a(6)) = a(6): c(6) = a(6) Else GoTo 60

For j161 = j162 + 1 To m2                                                     'a(161)
If b(a1(j161)) = 0 Then b(a1(j161)) = a1(j161): c(161) = a1(j161) Else GoTo 1610
a(161) = a1(j161)

a(5) = p2 - a(161): If b(a(5)) = 0 Then b(a(5)) = a(5): c(5) = a(5) Else GoTo 50

For j160 = j161 + 1 To m2                                                     'a(160)
If b(a1(j160)) = 0 Then b(a1(j160)) = a1(j160): c(160) = a1(j160) Else GoTo 1600
a(160) = a1(j160)

a(4) = p2 - a(160): If b(a(4)) = 0 Then b(a(4)) = a(4): c(4) = a(4) Else GoTo 40

For j159 = j160 + 1 To m2                                                     'a(159)
If b(a1(j159)) = 0 Then b(a1(j159)) = a1(j159): c(159) = a1(j159) Else GoTo 1590
a(159) = a1(j159)

a(3) = p2 - a(159): If b(a(3)) = 0 Then b(a(3)) = a(3): c(3) = a(3) Else GoTo 30

a(158) = s1 - a(157) - a(159) - a(160) - a(161) - a(162) - a(163) - a(164) - a(165) - a(166) - a(167) - a(168) - a(169)
If a(158) < a1(m1) Or a(158) > a1(m2) Then GoTo 1580
If b1(a(158)) = 0 Then GoTo 1580
If b(a(158)) = 0 Then b(a(158)) = a(158): c(158) = a(158) Else GoTo 1580

a(2) = p2 - a(158): If b(a(2)) = 0 Then b(a(2)) = a(2): c(2) = a(2) Else GoTo 20

For j156 = m2 To m1 Step -1                                                    'a(156)
If b(a1(j156)) = 0 Then b(a1(j156)) = a1(j156): c(156) = a1(j156) Else GoTo 1560
a(156) = a1(j156)

a(144) = p2 - a(156): If b(a(144)) = 0 Then b(a(144)) = a(144): c(144) = a(144) Else GoTo 1440

For j143 = j156 - 1 To m1 Step -1                                              'a(143)
If b(a1(j143)) = 0 Then b(a1(j143)) = a1(j143): c(143) = a1(j143) Else GoTo 1430
a(143) = a1(j143)

a(131) = p2 - a(143): If b(a(131)) = 0 Then b(a(131)) = a(131): c(131) = a(131) Else GoTo 1310

For j130 = j143 - 1 To m1 Step -1                                              'a(130)
If b(a1(j130)) = 0 Then b(a1(j130)) = a1(j130): c(130) = a1(j130) Else GoTo 1300
a(130) = a1(j130)

a(118) = p2 - a(130): If b(a(118)) = 0 Then b(a(118)) = a(118): c(118) = a(118) Else GoTo 1180

For j117 = j130 - 1 To m1 Step -1                                              'a(117)
If b(a1(j117)) = 0 Then b(a1(j117)) = a1(j117): c(117) = a1(j117) Else GoTo 1170
a(117) = a1(j117)

a(105) = p2 - a(117): If b(a(105)) = 0 Then b(a(105)) = a(105): c(105) = a(105) Else GoTo 1050

For j104 = m1 To m2                                                      'a(104)
If b(a1(j104)) = 0 Then b(a1(j104)) = a1(j104): c(104) = a1(j104) Else GoTo 1040
a(104) = a1(j104)

a(92) = p2 - a(104): If b(a(92)) = 0 Then b(a(92)) = a(92): c(92) = a(92) Else GoTo 920

For j78 = m1 To m2                                                       'a(78)
If b(a1(j78)) = 0 Then b(a1(j78)) = a1(j78): c(78) = a1(j78) Else GoTo 780
a(78) = a1(j78)

a(66) = p2 - a(78): If b(a(66)) = 0 Then b(a(66)) = a(66): c(66) = a(66) Else GoTo 660

For j65 = m1 To m2                                                       'a(65)
If b(a1(j65)) = 0 Then b(a1(j65)) = a1(j65): c(65) = a1(j65) Else GoTo 650
a(65) = a1(j65)

a(53) = p2 - a(65): If b(a(53)) = 0 Then b(a(53)) = a(53): c(53) = a(53) Else GoTo 530

For j52 = m1 To m2                                                       'a(52)
If b(a1(j52)) = 0 Then b(a1(j52)) = a1(j52): c(52) = a1(j52) Else GoTo 520
a(52) = a1(j52)

a(40) = p2 - a(52): If b(a(40)) = 0 Then b(a(40)) = a(40): c(40) = a(40) Else GoTo 400

For j39 = m1 To m2                                                       'a(39)
If b(a1(j39)) = 0 Then b(a1(j39)) = a1(j39): c(39) = a1(j39) Else GoTo 390
a(39) = a1(j39)

a(27) = p2 - a(39): If b(a(27)) = 0 Then b(a(27)) = a(27): c(27) = a(27) Else GoTo 270

a(26) = s1 - a(13) - a(39) - a(52) - a(65) - a(78) - a(91) - a(104) - a(117) - a(130) - a(143) - a(156) - a(169)
If a(26) < a1(m1) Or a(26) > a1(m2) Then GoTo 260
If b1(a(26)) = 0 Then GoTo 260
If b(a(26)) = 0 Then b(a(26)) = a(26): c(26) = a(26) Else GoTo 260

a(14) = p2 - a(26): If b(a(14)) = 0 Then b(a(14)) = a(14): c(14) = a(14) Else GoTo 140

'               Exclude solutions with identical numbers

                GoSub 1800: If fl1 = 0 Then GoTo 5
    
                n9 = n9 + 1
                GoSub 2650             'Print Result (Squares)
                
                Erase b, c: GoTo 2000  'Print only first square

5

    b(c(14)) = 0: c(14) = 0
140 b(c(26)) = 0: c(26) = 0
260 b(c(27)) = 0: c(27) = 0
270 b(c(39)) = 0: c(39) = 0
390 Next j39
     
    b(c(40)) = 0: c(40) = 0
400 b(c(52)) = 0: c(52) = 0
520 Next j52
    
    b(c(53)) = 0: c(53) = 0
530 b(c(65)) = 0: c(65) = 0
650 Next j65
     
    b(c(66)) = 0: c(66) = 0
660 b(c(78)) = 0: c(78) = 0
780 Next j78

     b(c(92)) = 0: c(92) = 0
920  b(c(104)) = 0: c(104) = 0
1040 Next j104
     
     b(c(105)) = 0: c(105) = 0
1050 b(c(117)) = 0: c(117) = 0
1170 Next j117
    
     b(c(118)) = 0: c(118) = 0
1180 b(c(130)) = 0: c(130) = 0
1300 Next j130
     
     b(c(131)) = 0: c(131) = 0
1310 b(c(143)) = 0: c(143) = 0
1430 Next j143
     
     b(c(144)) = 0: c(144) = 0
1440 b(c(156)) = 0: c(156) = 0
1560 Next j156

     b(c(2)) = 0: c(2) = 0
20   b(c(158)) = 0: c(158) = 0
1580  b(c(3)) = 0: c(3) = 0
30   b(c(159)) = 0: c(159) = 0
1590 Next j159
     
     b(c(4)) = 0: c(4) = 0
40   b(c(160)) = 0: c(160) = 0
1600 Next j160
     
     b(c(5)) = 0: c(5) = 0
50   b(c(161)) = 0: c(161) = 0
1610 Next j161
     
     b(c(6)) = 0: c(6) = 0
60   b(c(162)) = 0: c(162) = 0
1620 Next j162

     b(c(13)) = 0: c(13) = 0
130  b(c(157)) = 0: c(157) = 0
1570 Next j157

     b(c(8)) = 0: c(8) = 0
80   b(c(164)) = 0: c(164) = 0
1640 Next j164
    
     b(c(9)) = 0: c(9) = 0
90   b(c(165)) = 0: c(165) = 0
1650 Next j165
     
     b(c(10)) = 0: c(10) = 0
100  b(c(166)) = 0: c(166) = 0
1660 Next j166
     
     b(c(11)) = 0: c(11) = 0
110  b(c(167)) = 0: c(167) = 0
1670 Next j167
     
     b(c(12)) = 0: c(12) = 0
120  b(c(168)) = 0: c(168) = 0
1680 Next j168

    b(c(1)) = 0: c(1) = 0
10  b(c(169)) = 0: c(169) = 0
1690 Next j169

     n10 = 0: Erase b, c
2000 Next j101

    t2 = Timer
    
    t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s1)
    y = MsgBox(t10, 0, "Routine MgcSqr13a")

End

'   Print results (selected numbers)

2645 For i1 = 1 To 169
         Cells(n9, i1).Value = a(i1)
     Next i1
     Cells(n9, 170).Value = s1
     Cells(n9, 171).Value = j100
     Return

'   Print results (squares)

2650 n5 = n5 + 1
     If n5 = 2 Then
         n5 = 1: k1 = k1 + 14: k2 = 1
     Else
         If n9 > 1 Then k2 = k2 + 14
     End If

     Cells(k1, k2 + 1).Select
     Cells(k1, k2 + 1).Font.Color = -4165632
     Cells(k1, k2 + 1).Value = "Mc13 = " + CStr(s1)
    
     i3 = 0
     For i1 = 1 To 13
         For i2 = 1 To 13
             i3 = i3 + 1
             Cells(k1 + i1, k2 + i2).Value = a(i3)
         Next i2
     Next i1
    
     Return
     
'   Exclude solutions with identical numbers

1800 fl1 = 1
     For j1 = 1 To 169
        a2 = a(j1): If a2 = 0 Then GoTo 1810
        For j2 = (1 + j1) To 169
            If a2 = a(j2) Then fl1 = 0: Return
        Next j2
1810 Next j1
     Return

End Sub

Vorige Pagina About the Author