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' Generates order 4 Pan Magic Squares, Prime Numbers
' Potential Square Inlays

' Tested with Office 365 under Windows 10

Sub Prime1354()

    Dim a1(200), a(16), b1(2000), b(2000), c(16)

y = MsgBox("Locked", vbCritical, "Routine Prime1354")
End

    n2 = 0: n3 = 0: n9 = 0: n10 = 0: k1 = 1: k2 = 1
    
    ShtNm1 = "Pairs9660"     'Based on Prime Number Range (89 ... 1367)
    
    Sheets("Klad1").Select
    
    t1 = Timer

For j100 = 2 To 958

'   Define variables

    GoSub 2000

    If Chk3 = 1 Then GoTo 1000
    If nPrs < 8 Then GoTo 1000

'   *** Block  Here If Applicable ***

'   Generate squares

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(6) = 0.5 * s1 - a(16): If b(a(6)) = 0 Then b(a(6)) = a(6): c(6) = a(6) Else GoTo 60

For j15 = m1 To m2                                          'a(15)
If b1(a1(j15)) = 0 Then GoTo 150
If b(a1(j15)) = 0 Then b(a1(j15)) = a1(j15): c(15) = a1(j15) Else GoTo 150
a(15) = a1(j15)

a(5) = 0.5 * s1 - a(15): If b(a(5)) = 0 Then b(a(5)) = a(5): c(5) = a(5) Else GoTo 50

For j14 = m1 To m2                                          'a(14)
If b1(a1(j14)) = 0 Then GoTo 140
If b(a1(j14)) = 0 Then b(a1(j14)) = a1(j14): c(14) = a1(j14) Else GoTo 140
a(14) = a1(j14)

a(8) = 0.5 * s1 - a(14): If b(a(8)) = 0 Then b(a(8)) = a(8): c(8) = a(8) Else GoTo 80

a(13) = s1 - a(14) - a(15) - a(16)
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(7) = 0.5 * s1 - a(13): If b(a(7)) = 0 Then b(a(7)) = a(7): c(7) = a(7) Else GoTo 70

For j12 = m1 To m2                                          'a(12)
If b1(a1(j12)) = 0 Then GoTo 120
If b(a1(j12)) = 0 Then b(a1(j12)) = a1(j12): c(12) = a1(j12) Else GoTo 120
a(12) = a1(j12)

a(2) = 0.5 * s1 - a(12): If b(a(2)) = 0 Then b(a(2)) = a(2): c(2) = a(2) Else GoTo 20

a(11) = s1 - a(12) - a(15) - a(16)
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(1) = 0.5 * s1 - a(11): If b(a(1)) = 0 Then b(a(1)) = a(1): c(1) = a(1) Else GoTo 10

a(10) = a(12) - a(14) + a(16)
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

a(4) = 0.5 * s1 - a(10): If b(a(4)) = 0 Then b(a(4)) = a(4): c(4) = a(4) Else GoTo 40

a(9) = -a(12) + a(14) + a(15)
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(3) = 0.5 * s1 - a(9): If b(a(3)) = 0 Then b(a(3)) = a(3): c(3) = a(3) Else GoTo 30

'                           Exclude solutions with identical numbers (Back Check)
                            GoSub 800: If fl1 = 0 Then GoTo 5

'                           n9 = n9 + 1: GoSub 640 'Print results (selected numbers)
                            n9 = n9 + 1: GoSub 650 'Print results (squares)
                            
                            Sheets(ShtNm1).Cells(j100, 5).Value = "y"
                            
                            Erase b, c: GoTo 1000  'Print only first square
5

    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 b(c(1)) = 0: c(1) = 0
10  b(c(11)) = 0: c(11) = 0
110 b(c(2)) = 0: c(2) = 0
20  b(c(12)) = 0: c(12) = 0
120 Next j12

    b(c(7)) = 0: c(7) = 0
70  b(c(13)) = 0: c(13) = 0
130 b(c(8)) = 0: c(8) = 0
80  b(c(14)) = 0: c(14) = 0
140 Next j14
    
    b(c(5)) = 0: c(5) = 0
50  b(c(15)) = 0: c(15) = 0
150 Next j15

    b(c(6)) = 0: c(6) = 0
60  b(c(16)) = 0: c(16) = 0
160 Next j16
    
      n10 = 0
1000  Next j100

   t2 = Timer
    
   t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s1)
   y = MsgBox(t10, 0, "Routine Prime1354")

End

'   Print results (selected numbers)

640 For i1 = 1 To 16
        Cells(n9, i1).Value = a(i1)
    Next i1
    
    Return

'   Print results (squares)

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

    Cells(k1, k2 + 1).Font.Color = -4165632
    Cells(k1, k2 + 1).Value = "MC = " + CStr(s1)    'n9
    
    i3 = 0
    For i1 = 1 To 4
        For i2 = 1 To 4
            i3 = i3 + 1
            Cells(k1 + i1, k2 + i2).Value = a(i3)
        Next i2
    Next i1

    Return

'   Exclude solutions with identical numbers (Back Check)

800 fl1 = 1
    For j1 = 1 To 16
       a2 = a(j1)
       For j2 = (1 + j1) To 16
           If a2 = a(j2) Then fl1 = 0: Return
       Next j2
    Next j1
    Return
    
'   Read Prime Numbers From sheet ShtNm11
    
2000
    
    Chk3 = Sheets(ShtNm1).Cells(j100, 3).Value
    nPrs = Sheets(ShtNm1).Cells(j100, 2).Value
   
    s1 = 2 * Sheets(ShtNm1).Cells(j100, 1).Value
    nVar = Sheets(ShtNm1).Cells(j100, 9).Value
    
    m1 = 1: m2 = nVar
    
    For i1 = m1 To m2
        a1(i1) = Sheets(ShtNm1).Cells(j100, i1 + 9).Value
    Next i1

    Erase b1
    For i1 = m1 To m2
        b1(a1(i1)) = a1(i1)
    Next i1
    
    Return
   
End Sub

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