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' Generates sets of Prime Number Magic Squares of order 5 with Diamond Inlay
' Optimized for Twin Squares

' Tested with Office 2007 under Windows 7

Sub Priem5g2()

    Dim a1(370), a(25), b1(103393), b(103393), c(25)

y = MsgBox("Locked", vbCritical, "Routine Priem5g2")
End

    n2 = 0: n3 = 0: n9 = 0: n10 = 0: k1 = 1: k2 = 1

    Sheets("Klad1").Select
    
    t1 = Timer

'   Read Prime Numbers From sheet "Priem2"
    
    For i1 = 1 To 372
        x = Sheets("Priem2").Cells(i1, 3).Value
        b1(x) = x
    Next i1

For j101 = 2 To 32

    j100 = Sheets("Lines3").Cells(j101, 11).Value

'   Define variables

    s1 = 5 * Sheets("Pairs3a").Cells(j100, 1).Value / 2
    nVar1 = Sheets("Pairs3a").Cells(j100, 5).Value
    If nVar1 < 25 Then GoTo 500

'   Read Symmetrical Prime Numbers From sheet "Pairs3a"
    
    For i1 = 1 To nVar1
        a1(i1) = Sheets("Pairs3a").Cells(j100, 6 + i1).Value
    Next i1

    m1 = 1: m2 = nVar1
    
    ''Erase b1

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

'   Generate Squares

    a(13) = 0.2 * s1: b(a(13)) = a(13): n10 = 0

    For j23 = m1 To m2 / 2                                      'a(23)         Simple 3 x 3
    If b(a1(j23)) = 0 Then b(a1(j23)) = a1(j23): c(23) = a1(j23) Else GoTo 230
    a(23) = a1(j23)

    a(3) = 0.4 * s1 - a(23)
    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

    For j19 = m1 To m2                                          'a(19)         Simple 3 x 3
    If b(a1(j19)) = 0 Then b(a1(j19)) = a1(j19): c(19) = a1(j19) Else GoTo 190
    a(19) = a1(j19)

    a(17) = 0.8 * s1 - a(19) - 2 * a(23)
    If a(17) < a1(m1) Or a(17) > a1(m2) Then GoTo 170
    If b1(a(17)) = 0 Then GoTo 170
    If b(a(17)) = 0 Then b(a(17)) = a(17): c(17) = a(17) Else GoTo 170
    
    a(15) = 0.6 * s1 - a(19) - a(23)
    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(11) = 0.4 * s1 - a(15)
    If a(11) < a1(m1) Or a(11) > a1(m2) Then GoTo 110:
    If b1(a(11)) = 0 Then GoTo 110
    If b(a(11)) = 0 Then b(a(11)) = a(11): c(11) = a(11) Else GoTo 110
       
    a(9) = 2 * s1 / 5 - a(17)
    If a(9) < a1(m1) Or a(9) > a1(m2) Then GoTo 90:
    If b1(a(9)) = 0 Then GoTo 90
    If b(a(9)) = 0 Then b(a(9)) = a(9): c(9) = a(9) Else GoTo 90
    
    a(7) = 0.4 * s1 - a(19)
    If a(7) < a1(m1) Or a(7) > a1(m2) Then GoTo 70:
    If b1(a(7)) = 0 Then GoTo 70
    If b(a(7)) = 0 Then b(a(7)) = a(7): c(7) = a(7) Else GoTo 70

    For j25 = m1 To m2                                        'a(25)
    If b(a1(j25)) = 0 Then b(a1(j25)) = a1(j25): c(25) = a1(j25) Else GoTo 250
    a(25) = a1(j25)

    a(1) = 0.4 * s1 - a(25)
    If a(1) < a1(m1) Or a(1) > a1(m2) Then GoTo 10
    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 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)

    For j22 = m1 To m2                                          'a(22)
    If b(a1(j22)) = 0 Then b(a1(j22)) = a1(j22): c(22) = a1(j22) Else GoTo 220
    a(22) = a1(j22)

    a(21) = s1 - a(22) - a(23) - a(24) - a(25)
    If a(21) < a1(m1) Or a(21) > a1(m2) Then GoTo 210
    If b1(a(21)) = 0 Then GoTo 210
    If b(a(21)) = 0 Then b(a(21)) = a(21): c(21) = a(21) Else GoTo 210
    
    a(5) = 0.4 * s1 - a(21)
    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

    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(10) = a(19) - a(20) + a(21) + a(23) - a(25)
    If a(10) < a1(m1) Or a(10) > a1(m2) Then GoTo 100:
    If b1(a(10)) = 0 Then GoTo 100
    If b(a(10)) = 0 Then b(a(10)) = a(10): c(10) = a(10) Else GoTo 100
    
    For j18 = m1 To m2                                          'a(18)
    If b(a1(j18)) = 0 Then b(a1(j18)) = a1(j18): c(18) = a1(j18) Else GoTo 180
    a(18) = a1(j18)

    a(16) = 0.2 * s1 - a(18) - a(20) + 2 * a(23)
    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(8) = 0.4 * s1 - a(18)
    If a(8) < a1(m1) Or a(8) > a1(m2) Then GoTo 80
    If b1(a(8)) = 0 Then GoTo 80
    If b(a(8)) = 0 Then b(a(8)) = a(8): c(8) = a(8) Else GoTo 80

    a(6) = 0.6 * s1 - a(10) + a(18) - 2 * a(23)
    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

    For j14 = m1 To m2                                          'a(14)
    If b(a1(j14)) = 0 Then b(a1(j14)) = a1(j14): c(14) = a1(j14) Else GoTo 140
    a(14) = a1(j14)

    a(12) = 2 * s1 / 5 - a(14)
    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
    
    a(4) = 1.4 * s1 - a(14) - 2 * a(19) - 2 * a(23) - a(24)
    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(2) = 0.8 * s1 - a(4) - a(22) - a(24)
    If a(2) < a1(m1) Or a(2) > a1(m2) Then GoTo 20
    If b1(a(2)) = 0 Then GoTo 20
    If b(a(2)) = 0 Then b(a(2)) = a(2): c(2) = a(2) Else GoTo 20

        n9 = n9 + 1
        GoSub 650              'Print results (squares)
'       GoSub 640              'Print results (selected numbers)
        Erase b, c: GoTo 500   'Print only first square

    b(c(2)) = 0: c(2) = 0
20  b(c(4)) = 0: c(4) = 0
40  b(c(12)) = 0: c(12) = 0
120 b(c(14)) = 0: c(14) = 0
140 Next j14

    b(c(6)) = 0: c(6) = 0
60  b(c(8)) = 0: c(8) = 0
80  b(c(16)) = 0: c(16) = 0
160 b(c(18)) = 0: c(18) = 0
180 Next j18
  
    b(c(10)) = 0: c(10) = 0
100 b(c(20)) = 0: c(20) = 0
200 Next j20
    
    b(c(5)) = 0: c(5) = 0
50  b(c(21)) = 0: c(21) = 0
210 b(c(22)) = 0: c(22) = 0
220 Next j22
  
    b(c(24)) = 0: c(24) = 0
240 Next j24
    
    b(c(1)) = 0: c(1) = 0
10  b(c(25)) = 0: c(25) = 0
250 Next j25

    b(c(7)) = 0: c(7) = 0
70  b(c(9)) = 0: c(9) = 0
90  b(c(11)) = 0: c(11) = 0
110 b(c(15)) = 0: c(15) = 0
150 b(c(17)) = 0: c(17) = 0
170 b(c(19)) = 0: c(19) = 0
190 Next j19

    b(c(3)) = 0: c(3) = 0
30  b(c(23)) = 0: c(23) = 0
230 Next j23

    n10 = 0: b(a(13)) = 0
500 Next j101

   t2 = Timer
    
   t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s1)
   y = MsgBox(t10, 0, "Routine Priem5g2")

End

'   Print results (selected numbers)

640 For i1 = 1 To 25
        Cells(n9, i1).Value = a(i1)
    Next i1
    
    Return

'   Print results (squares)

650 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 = "MC = " + CStr(s1)
        
    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

Vorige Pagina About the Author