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' Generates Prime Number Inlaid Magic Squares of order 6

' Tested with Office 2007 under Windows 7

Sub MagSqrs413()

Dim a1(1142), a(36), b1(10133), b(10133), c(36)
Dim a2(1142), b2(20133)

y = MsgBox("Locked", vbCritical, "Routine MgcSqrs413")
End

n2 = 0: n3 = 0: k1 = 1: k2 = 1: n9 = 0
ShtNm1 = "Pairs6"

     t1 = Timer
     Sheets("Klad1").Select
   
For j100 = 2 To 968
Cells(k1, 1).Select: Cells(k1, 1).Value = j100
    
'   Read Inlaid Sqr (3 x 3)
    
    Erase a
    a(22) = Sheets("PrLns3").Cells(j100, 1).Value
    a(23) = Sheets("PrLns3").Cells(j100, 2).Value
    a(24) = Sheets("PrLns3").Cells(j100, 3).Value
    a(28) = Sheets("PrLns3").Cells(j100, 4).Value
    a(29) = Sheets("PrLns3").Cells(j100, 5).Value
    a(30) = Sheets("PrLns3").Cells(j100, 6).Value
    a(34) = Sheets("PrLns3").Cells(j100, 7).Value
    a(35) = Sheets("PrLns3").Cells(j100, 8).Value
    a(36) = Sheets("PrLns3").Cells(j100, 9).Value

    s31 = Sheets("PrLns3").Cells(j100, 10).Value     ' MC3
    s32 = Sheets("PrLns3").Cells(j100, 11).Value     ' Border Pairs
    Pr3 = Sheets("PrLns3").Cells(j100, 12).Value     ' Border Pairs
    s4 = Sheets("PrLns3").Cells(j100, 13).Value      ' MC4
    s6 = Sheets("PrLns3").Cells(j100, 14).Value      ' MC6

'   Define Prime Numbers for Mgc Sqr 4 x 4

    Rcrd4 = Sheets("PrLns3").Cells(j100, 16).Value      ' Record for Mgc Sqr 4 x 4
    Rcrd1 = Rcrd4: GoSub 2010

'   Define Prime Numbers for Brdr Pairs

    Rcrd3 = Sheets("PrLns3").Cells(j100, 16).Value      ' Record for Brdr Pairs
    Rcrd1 = Rcrd3: GoSub 2020

'   Block used Variables

    For i1 = 1 To 36
         If a(i1) <> 0 Then b(a(i1)) = a(i1)
    Next i1

'   Pan Magic Square (4 x 4)

If a(22) > s4 / 2 Then GoTo 1000
a(8) = s4 / 2 - a(22): If b1(a(8)) = 0 Then GoTo 1000
b(a(8)) = a(8)

For j21 = m1 To m2                                          'a(21)
If b1(a1(j21)) = 0 Then GoTo 210
If b(a1(j21)) = 0 Then b(a1(j21)) = a1(j21): c(21) = a1(j21) Else GoTo 210
a(21) = a1(j21)

a(7) = s4 / 2 - a(21): If b(a(7)) = 0 Then b(a(7)) = a(7): c(7) = a(7) Else GoTo 70

For j20 = m1 To m2                                          'a(20)
If b1(a1(j20)) = 0 Then GoTo 200
If b(a1(j20)) = 0 Then b(a1(j20)) = a1(j20): c(20) = a1(j20) Else GoTo 200
a(20) = a1(j20)

a(10) = s4 / 2 - a(20): If b(a(10)) = 0 Then b(a(10)) = a(10): c(10) = a(10) Else GoTo 100

a(19) = s4 - a(20) - a(21) - a(22)
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(9) = s4 / 2 - a(19): If b(a(9)) = 0 Then b(a(9)) = a(9): c(9) = a(9) Else GoTo 90

For j16 = m1 To m2                                          'a(16)
If b1(a1(j16)) = 0 Then GoTo 160
If b(a1(j16)) = 0 Then b(a1(j16)) = a1(j16): c(16) = a1(j16) Else GoTo 160
a(16) = a1(j16)

a(2) = s4 / 2 - a(16): If b(a(2)) = 0 Then b(a(2)) = a(2): c(2) = a(2) Else GoTo 20

a(15) = s4 - a(16) - a(21) - a(22)
If a(15) < a1(m1) Or a(15) > a1(m2) Then GoTo 150
If b1(a(15)) = 0 Then GoTo 150
If b(a(15)) = 0 Then b(a(15)) = a(15): c(15) = a(15) Else GoTo 150

a(1) = s4 / 2 - a(15): If b(a(1)) = 0 Then b(a(1)) = a(1): c(1) = a(1) Else GoTo 10

a(14) = a(16) - a(20) + a(22)
If a(14) < a1(m1) Or a(14) > a1(m2) Then GoTo 140
If b1(a(14)) = 0 Then GoTo 140
If b(a(14)) = 0 Then b(a(14)) = a(14): c(14) = a(14) Else GoTo 140

a(4) = s4 / 2 - a(14): If b(a(4)) = 0 Then b(a(4)) = a(4): c(4) = a(4) Else GoTo 40

a(13) = -a(16) + a(20) + a(21)
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

a(3) = s4 / 2 - a(13): If b(a(3)) = 0 Then b(a(3)) = a(3): c(3) = a(3) Else GoTo 30

'   Border Pairs Bottom/Left

For j31 = m21 To m22                                          'a(31)
If b(a2(j31)) = 0 Then b(a2(j31)) = a2(j31): c(31) = a2(j31) Else GoTo 310
a(31) = a2(j31)

a(25) = Pr3 - a(31):
If a(25) < a2(m21) Or a(25) > a2(m22) Then GoTo 250
If b2(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 j26 = m21 To m22                                          'a(26)
If b(a2(j26)) = 0 Then b(a2(j26)) = a2(j26): c(26) = a2(j26) Else GoTo 260
a(26) = a2(j26)

a(32) = Pr3 - a(26):
If a(32) < a2(m21) Or a(32) > a2(m22) Then GoTo 320
If b2(a(32)) = 0 Then GoTo 320
If b(a(32)) = 0 Then b(a(32)) = a(32): c(32) = a(32) Else GoTo 320

a(27) = s32 - a(25) - a(26)
If a(27) < a2(m21) Or a(27) > a2(m22) Then GoTo 270
If b2(a(27)) = 0 Then GoTo 270
If b(a(27)) = 0 Then b(a(27)) = a(27): c(27) = a(27) Else GoTo 270

a(33) = Pr3 - a(27):
If a(33) < a2(m21) Or a(33) > a2(m22) Then GoTo 330
If b2(a(33)) = 0 Then GoTo 330
If b(a(33)) = 0 Then b(a(33)) = a(33): c(33) = a(33) Else GoTo 330

'  Complete Diagonal and Border Pairs Top/Right

For j11 = m21 To m22                                          'a(11)
If b(a2(j11)) = 0 Then b(a2(j11)) = a2(j11): c(11) = a2(j11) Else GoTo 110
a(11) = a2(j11)

a(12) = Pr3 - a(11):
If a(12) < a2(m21) Or a(12) > a2(m22) Then GoTo 120
If b2(a(12)) = 0 Then GoTo 120
If b(a(12)) = 0 Then b(a(12)) = a(12): c(12) = a(12) Else GoTo 120

a(6) = s6 - a(31) - a(26) - a(21) - a(16) - a(11)
If a(6) < a2(m21) Or a(6) > a2(m22) Then GoTo 60
If b2(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(5) = Pr3 - a(6):
If a(5) < a2(m21) Or a(5) > a2(m22) Then GoTo 50
If b2(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(18) = s32 - a(12) - a(6)
If a(18) < a2(m21) Or a(18) > a2(m22) Then GoTo 180
If b2(a(18)) = 0 Then GoTo 180
If b(a(18)) = 0 Then b(a(18)) = a(18): c(18) = a(18) Else GoTo 180
    
a(17) = Pr3 - a(18):
If a(17) < a2(m21) Or a(17) > a2(m22) Then GoTo 170
If b2(a(17)) = 0 Then GoTo 170
If b(a(17)) = 0 Then b(a(17)) = a(17): c(17) = a(17) Else GoTo 170


    n9 = n9 + 1: GoSub 2650 'Print results (squares)
    GoTo 1000               'Print only one square for each j100


    b(c(17)) = 0: c(17) = 0
170 b(c(18)) = 0: c(18) = 0
180 b(c(5)) = 0: c(5) = 0
50  b(c(6)) = 0: c(6) = 0
60  b(c(12)) = 0: c(12) = 0
120 b(c(11)) = 0: c(11) = 0
110 Next j11

    b(c(33)) = 0: c(33) = 0
330 b(c(27)) = 0: c(27) = 0
270 b(c(32)) = 0: c(32) = 0
320 b(c(26)) = 0: c(26) = 0
260 Next j26
    b(c(25)) = 0: c(25) = 0
250 b(c(31)) = 0: c(31) = 0
310 Next j31

    b(c(3)) = 0: c(3) = 0
30  b(c(13)) = 0: c(13) = 0
130 b(c(4)) = 0: c(4) = 0
40  b(c(14)) = 0: c(14) = 0
140 b(c(1)) = 0: c(1) = 0
10  b(c(15)) = 0: c(15) = 0
150 b(c(2)) = 0: c(2) = 0
20  b(c(16)) = 0: c(16) = 0
160 Next j16

    b(c(9)) = 0: c(9) = 0
90  b(c(19)) = 0: c(19) = 0
190 b(c(10)) = 0: c(10) = 0
100 b(c(20)) = 0: c(20) = 0
200 Next j20
    
    b(c(7)) = 0: c(7) = 0
70  b(c(21)) = 0: c(21) = 0
210 Next j21

1000 Erase b, c
     Next j100

     t2 = Timer
    
     t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s6)
     y = MsgBox(t10, 0, "Routine MgcPrms6b")
End

'    Read Prime Numbers From sheet ShtNm1 (e.g. "Pairs6")

2010 s1 = 3 * Sheets(ShtNm1).Cells(Rcrd1, 1).Value   ' MC6
     nVar1 = Sheets(ShtNm1).Cells(Rcrd1, 5).Value
     
     For i1 = 1 To nVar1
        a1(i1) = Sheets(ShtNm1).Cells(Rcrd1, 10 + i1).Value
     Next i1
     m1 = 1: m2 = nVar1
 
     Erase b1
     For i1 = m1 To m2
         b1(a1(i1)) = a1(i1)
     Next i1
     
     Return

'    Read Prime Numbers From sheet ShtNm1 (e.g. "Pairs6")

2020 s1 = 3 * Sheets(ShtNm1).Cells(Rcrd1, 1).Value   ' MC6
     nVar2 = Sheets(ShtNm1).Cells(Rcrd1, 5).Value
     
     For i1 = 1 To nVar2
        a2(i1) = Sheets(ShtNm1).Cells(Rcrd1, 10 + i1).Value
     Next i1
     m21 = 1: m22 = nVar2
 
     Erase b2
     For i1 = m21 To m22
         b2(a1(i1)) = a2(i1)
     Next i1
    
     Return

'    Print results (squares)

2650 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 = j100
     Cells(k1, k2 + 2).Value = n9
    
     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

Vorige Pagina About the Author