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' Generates order 3 Squares, Prime Numbers
' Potential Square Inlays

' Tested with Office 365 under Windows 10

Sub Prime1311()

Dim a1(100), a(9), b1(1000), b(1000), c(9)

y = MsgBox("Locked", vbCritical, "Routine Prime1311")
End
    
    n1 = 0: n9 = 0: n10 = 0: k1 = 1: k2 = 1

    ShtNm1 = "Pairs10b"     'Prime Number Range (41 ... 613)

'   Generate Squares
    
    Sheets("Klad1").Select
    
    t1 = Timer

For j10 = 2 To 183

'   Read Prime Numbers From sheet ShtNm1

    Chk3 = Sheets(ShtNm1).Cells(j10, 3).Value
    If Chk3 = 0 Then GoTo 1000
    
    nPrs = Sheets(ShtNm1).Cells(j10, 2).Value
    If nPrs < 4 Then GoTo 1000
    
    s1 = 3 * Sheets(ShtNm1).Cells(j10, 1).Value / 2
    nVar = Sheets(ShtNm1).Cells(j10, 9).Value

    For i1 = 1 To nVar
        a1(i1) = Sheets(ShtNm1).Cells(j10, i1 + 9).Value
    Next i1

    Erase b1
    For i1 = 1 To nVar
        b1(a1(i1)) = a1(i1)
    Next i1

    m1 = 1: m2 = nVar

'   *** Block  Here If Applicable ***

For j9 = m1 To m2                                                     'a(9)
If b1(a1(j9)) = 0 Then GoTo 90
If b(a1(j9)) = 0 Then b(a1(j9)) = a1(j9): c(9) = a1(j9) Else GoTo 90
a(9) = a1(j9)

For j8 = m1 To m2                                                     'a(8)
If b1(a1(j8)) = 0 Then GoTo 80
If b(a1(j8)) = 0 Then b(a1(j8)) = a1(j8): c(8) = a1(j8) Else GoTo 80
a(8) = a1(j8)

    a(7) = s1 - a(8) - a(9):
    If a(7) < a1(m1) Or a(7) > a1(m2) Then GoTo 70:
    If a(7) < a(9) Then GoTo 70                                       'Unique
    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
    
    a(6) = 4 * s1 / 3 - a(8) - 2 * a(9):
    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
    
    a(5) = s1 / 3:
    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
    
    a(4) = -2 * s1 / 3 + 1 * a(8) + 2 * a(9):
    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(3) = -s1 / 3 + 1 * a(8) + 1 * a(9):
    If a(3) < a1(m1) Or a(3) > a1(m2) Then GoTo 30:
    If a(3) < a(9) Then GoTo 30                                       'Unique
    If a(3) > a(7) Then GoTo 30                                       'Unique
    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
    
    a(2) = 2 * s1 / 3 - a(8):
    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
    
    a(1) = 2 * s1 / 3 - a(9):
    If a(1) < a1(m1) Or a(1) > a1(m2) Then GoTo 10:
    If a(1) < a(9) Then GoTo 10                                       'Unique
    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

'                         Exclude solutions with identical numbers (Back Check)

                          GoSub 800: If fl1 = 0 Then GoTo 5
                          n10 = n10 + 1
'                         n9 = n9 + 1: GoSub 640 'Print results (selected numbers)
                          n9 = n9 + 1: GoSub 650 'Print results (squares)
   
'                         Sheets(ShtNm1).Cells(j10, 4).Value = "y"
   
'                         Erase b, c: GoTo 1000  'Print only first square

5
   
    b(c(1)) = 0: c(1) = 0
10  b(c(2)) = 0: c(2) = 0
20  b(c(3)) = 0: c(3) = 0
30  b(c(4)) = 0: c(4) = 0
40  b(c(5)) = 0: c(5) = 0
50  b(c(6)) = 0: c(6) = 0
60  b(c(7)) = 0: c(7) = 0
70  b(c(8)) = 0: c(8) = 0
80  Next j8
    
    b(c(9)) = 0: c(9) = 0
90  Next j9
    
      n10 = 0
      Erase b, c
1000  Next j10

   t2 = Timer
    
   t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions"
   y = MsgBox(t10, 0, "Routine Prime1311")

End

'   Print results (selected numbers)

640 Cells(n9, 9).Select
    For i1 = 1 To 9
        Cells(n9, i1).Value = a(i1)
    Next i1
    Cells(n9, 10).Value = s1
    Cells(n9, 11).Value = j10
    Cells(n9, 12).Value = n10
    Return

'   Print results (squares)

650 n1 = n1 + 1
    If n1 = 5 Then
        n1 = 1: k1 = k1 + 4: k2 = 1
    Else
        If n9 > 1 Then k2 = k2 + 4
    End If
    
    Cells(k1, k2 + 1).Font.Color = -4165632
    Cells(k1, k2 + 1).Value = s1 ''n10
    
    i3 = 0
    For i1 = 1 To 3
        For i2 = 1 To 3
            i3 = i3 + 1
            Cells(k1 + i1, k2 + i2).Value = a(i3)
        Next i2
    Next i1
    Return

'   Exclude solutions with identical numbers

800 fl1 = 1
    For j1 = 1 To 9
       a2 = a(j1)
       For j2 = (1 + j1) To 9
           If a2 = a(j2) Then fl1 = 0: Return
       Next j2
    Next j1
    Return
     
End Sub

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