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' Generates Concentric Magic Squares of order 8 for Prime Numbers
' Optimized for Sophie Germain Primes

' Tested with Office 2007 under Windows 7

Sub Priem8a2()
    
    Dim a1(2448), a(64), a6(64), b1(174299), b(174299), c(64)

y = MsgBox("Locked", vbCritical, "Routine Priem8a2")
End

n2 = 0: n3 = 0: n9 = 0: k1 = 1: k2 = 1
Sht1 = "Pairs1"
Sht2 = "Lines6"
    
    Sheets("Klad1").Select
    
    t1 = Timer
    
For j100 = 2 To 16

    Rcrd1a = Sheets(Sht2).Cells(j100, 38).Value
    
'   Define variables

    Pr8 = Sheets(Sht1).Cells(Rcrd1a, 1).Value   'Pair Sum
    s1 = 4 * Pr8                                'MC8
    nvar = Sheets(Sht1).Cells(Rcrd1a, 5).Value
    m1 = 1: m2 = nvar

    If nvar < 64 Then GoTo 1000
    Cells(k1, 1).Select: Cells(k1, 1).Value = j100

    For i1 = m1 To m2
        a1(i1) = Sheets(Sht1).Cells(Rcrd1a, i1 + 10).Value
    Next i1
    pMax = a1(m2)

    Erase b1
    For i1 = m1 To m2
        b1(a1(i1)) = a1(i1)
    Next i1
    
'   Read Center Square and remove from Available Primes
'   Including Complements for Non Symmetrical Center Squares

    For i1 = 1 To 36
        a6(i1) = Sheets(Sht2).Cells(j100, i1).Value
        b1(a6(i1)) = 0
        b1(Pr8 - a6(i1)) = 0
    Next i1
    
    Erase a
    
'   Load Center Square
    
    a(10) = a6(1):  a(11) = a6(2):  a(12) = a6(3):  a(13) = a6(4):  a(14) = a6(5):  a(15) = a6(6):
    a(18) = a6(7):  a(19) = a6(8):  a(20) = a6(9):  a(21) = a6(10): a(22) = a6(11): a(23) = a6(12):
    a(26) = a6(13): a(27) = a6(14): a(28) = a6(15): a(29) = a6(16): a(30) = a6(17): a(31) = a6(18):
    a(34) = a6(19): a(35) = a6(20): a(36) = a6(21): a(37) = a6(22): a(38) = a6(23): a(39) = a6(24):
    a(42) = a6(25): a(43) = a6(26): a(44) = a6(27): a(45) = a6(28): a(46) = a6(29): a(47) = a6(30):
    a(50) = a6(31): a(51) = a6(32): a(52) = a6(33): a(53) = a6(34): a(54) = a6(35): a(55) = a6(36):
    
    Erase a6
    
'   Restore available pairs in a1()

    n10 = 0
    For j1 = 1 To pMax
        If b1(j1) <> 0 Then
           n10 = n10 + 1
           a1(n10) = b1(j1)
        End If
    Next j1
    m1 = 1: m2 = n10: n10 = 0
    If a1(1) = 1 Then m1 = 2: m2 = m2 - 1

'   Determine Border

t11 = Timer                                                       'Time Out

For j64 = m1 To m2                                                'a(64)
If b(a1(j64)) = 0 Then b(a1(j64)) = a1(j64): c(64) = a1(j64) Else GoTo 640
a(64) = a1(j64)

a(1) = s1 / 4 - a(64): If b(a(1)) = 0 Then b(a(1)) = a(1): c(1) = a(1) Else GoTo 10

For j63 = m1 To m2                                                'a(63)
If b(a1(j63)) = 0 Then b(a1(j63)) = a1(j63): c(63) = a1(j63) Else GoTo 630
a(63) = a1(j63)

a(7) = s1 / 4 - a(63): If b(a(7)) = 0 Then b(a(7)) = a(7): c(7) = a(7) Else GoTo 70

For j62 = m1 To m2                                                'a(62)
If b(a1(j62)) = 0 Then b(a1(j62)) = a1(j62): c(62) = a1(j62) Else GoTo 620
a(62) = a1(j62)

a(6) = s1 / 4 - a(62): If b(a(6)) = 0 Then b(a(6)) = a(6): c(6) = a(6) Else GoTo 60

For j61 = m1 To m2                                                'a(61)
If b(a1(j61)) = 0 Then b(a1(j61)) = a1(j61): c(61) = a1(j61) Else GoTo 610
a(61) = a1(j61)

t12 = Timer: t13 = t12 - t11                                      'Time Out
If t13 > 100 Then Erase b1, b, c: t11 = Timer: GoTo 1000          'Time Out, Try Next j100

a(5) = s1 / 4 - a(61): If b(a(5)) = 0 Then b(a(5)) = a(5): c(5) = a(5) Else GoTo 50

For j60 = m1 To m2                                                'a(60)
If b(a1(j60)) = 0 Then b(a1(j60)) = a1(j60): c(60) = a1(j60) Else GoTo 600
a(60) = a1(j60)

a(4) = s1 / 4 - a(60): If b(a(4)) = 0 Then b(a(4)) = a(4): c(4) = a(4) Else GoTo 40

For j59 = m1 To m2                                                'a(59)
If b(a1(j59)) = 0 Then b(a1(j59)) = a1(j59): c(59) = a1(j59) Else GoTo 590
a(59) = a1(j59)

a(3) = s1 / 4 - a(59): If b(a(3)) = 0 Then b(a(3)) = a(3): c(3) = a(3) Else GoTo 30

For j58 = m1 To m2                                                'a(58)
If b(a1(j58)) = 0 Then b(a1(j58)) = a1(j58): c(58) = a1(j58) Else GoTo 580
a(58) = a1(j58)

a(57) = s1 - a(58) - a(59) - a(60) - a(61) - a(62) - a(63) - a(64)
If a(57) < a1(m1) Or a(57) > a1(m2) Then GoTo 570
If b1(a(57)) = 0 Then GoTo 570
If b(a(57)) = 0 Then b(a(57)) = a(57): c(57) = a(57) Else GoTo 570

a(8) = s1 / 4 - a(57): If b(a(8)) = 0 Then b(a(8)) = a(8): c(8) = a(8) Else GoTo 80
a(2) = s1 / 4 - a(58): If b(a(2)) = 0 Then b(a(2)) = a(2): c(2) = a(2) Else GoTo 20

For j56 = m1 To m2                                                'a(56)
If b(a1(j56)) = 0 Then b(a1(j56)) = a1(j56): c(56) = a1(j56) Else GoTo 560
a(56) = a1(j56)

a(49) = s1 / 4 - a(56): If b(a(49)) = 0 Then b(a(49)) = a(49): c(49) = a(49) Else GoTo 490

For j48 = m1 To m2                                                'a(48)
If b(a1(j48)) = 0 Then b(a1(j48)) = a1(j48): c(48) = a1(j48) Else GoTo 480
a(48) = a1(j48)

a(41) = s1 / 4 - a(48): If b(a(41)) = 0 Then b(a(41)) = a(41): c(41) = a(41) Else GoTo 410

For j40 = m1 To m2                                                'a(40)
If b(a1(j40)) = 0 Then b(a1(j40)) = a1(j40): c(40) = a1(j40) Else GoTo 400
a(40) = a1(j40)

a(33) = s1 / 4 - a(40): If b(a(33)) = 0 Then b(a(33)) = a(33): c(33) = a(33) Else GoTo 330

For j32 = m1 To m2                                                'a(32)
If b(a1(j32)) = 0 Then b(a1(j32)) = a1(j32): c(32) = a1(j32) Else GoTo 320
a(32) = a1(j32)

a(25) = s1 / 4 - a(32): If b(a(25)) = 0 Then b(a(25)) = a(25): c(25) = a(25) Else GoTo 250

For j24 = m1 To m2                                                'a(24)
If b(a1(j24)) = 0 Then b(a1(j24)) = a1(j24): c(24) = a1(j24) Else GoTo 240
a(24) = a1(j24)

a(17) = s1 / 4 - a(24): If b(a(17)) = 0 Then b(a(17)) = a(17): c(17) = a(17) Else GoTo 170

a(16) = s1 - a(8) - a(24) - a(32) - a(40) - a(48) - a(56) - a(64)
If a(16) < a1(m1) Or a(16) > a1(m2) Then GoTo 160
If b1(a(16)) = 0 Then GoTo 160
If b(a(16)) = 0 Then b(a(16)) = a(16): c(16) = a(16) Else GoTo 160

a(9) = s1 / 4 - a(16): If b(a(9)) = 0 Then b(a(9)) = a(9): c(9) = a(9) Else GoTo 90

                           n9 = n9 + 1
                           GoSub 2650               'Print results (squares)
'                          GoSub 2645               'Print results (selected numbers)
                           Erase b, c: GoTo 1000    'Print only first square

    b(c(9)) = 0: c(0) = 0
90  b(c(16)) = 0: c(16) = 0
160 b(c(17)) = 0: c(17) = 0
170 b(c(24)) = 0: c(24) = 0
240 Next j24

    b(c(25)) = 0: c(25) = 0
250 b(c(32)) = 0: c(32) = 0
320 Next j32

    b(c(33)) = 0: c(33) = 0
330 b(c(40)) = 0: c(40) = 0
400 Next j40

    b(c(41)) = 0: c(41) = 0
410 b(c(48)) = 0: c(48) = 0
480 Next j48

    b(c(49)) = 0: c(49) = 0
490 b(c(56)) = 0: c(56) = 0
560 Next j56

    b(c(2)) = 0: c(2) = 0
20  b(c(8)) = 0: c(8) = 0
80  b(c(57)) = 0: c(57) = 0
570 b(c(58)) = 0: c(58) = 0
580 Next j58

    b(c(3)) = 0: c(3) = 0
30  b(c(59)) = 0: c(59) = 0
590 Next j59

    b(c(4)) = 0: c(4) = 0
40  b(c(60)) = 0: c(60) = 0
600 Next j60

    b(c(5)) = 0: c(5) = 0
50  b(c(61)) = 0: c(61) = 0
610 Next j61

    b(c(6)) = 0: c(6) = 0
60  b(c(62)) = 0: c(62) = 0
620 Next j62

    b(c(7)) = 0: c(7) = 0
70  b(c(63)) = 0: c(63) = 0
630 Next j63

    b(c(1)) = 0: c(1) = 0
10  b(c(64)) = 0: c(64) = 0
640 Next j64

     Erase b, c
1000 Next j100

    t2 = Timer
    
    t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions"
    y = MsgBox(t10, 0, "Routine Priem8a2")

End

'    Print results (selected numbers)
 
2645 For i1 = 1 To 64
        Cells(n9, i1).Value = a(i1)
     Next i1
    
     Return
 
'    Print results (squares)
 
2650 n5 = n5 + 1
     If n5 = 3 Then
         n5 = 1: k1 = k1 + 9: k2 = 1
     Else
         If n9 > 1 Then k2 = k2 + 9
     End If
 
     Cells(k1, k2 + 1).Select
     Cells(k1, k2 + 1).Font.Color = -4165632
     Cells(k1, k2 + 1).Value = "MC = " + CStr(s1)
 
     i3 = 0
     For i1 = 1 To 8
          For i2 = 1 To 8
             i3 = i3 + 1
             Cells(k1 + i1, k2 + i2).Value = a(i3)
         Next i2
     Next i1
 
     Return

End Sub

Vorige Pagina About the Author