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' Constructs 11 x 11 Bordered Magic Squares for Prime Numbers (Part2)
' Completes the Border with four Magic Rectangles (3 x 5)

' Tested with Office 2007 under Windows 7

Sub Priem11d2()

    Dim a1(2448), a(121), a11(121), b1(43300), b(43300), c(121)
 
    y = MsgBox("Locked", vbCritical, "Routine Priem11d2")
    End

    Sheets("Klad1").Select

    n5 = 0: n9 = 0: k1 = 1: k2 = 1: n3 = 0
    ShtNm1 = "Pairs7"
    ShtNm2 = "Crnr11"
    
    t1 = Timer
   
    For j100 = 57 To 60

'       Start Reading Data ShtNm2

        Rcrd1a = Sheets(ShtNm2).Cells(j100, 123).Value
        MC11 = Sheets(ShtNm2).Cells(j100, 122).Value

'       Read Prime Numbers From Sheet ShtNm1

        Pr3 = Sheets(ShtNm1).Cells(Rcrd1a, 1).Value      'PairSum
        Cntr3 = Sheets(ShtNm1).Cells(Rcrd1a, 6).Value    'Center Element
        
        s3 = 3 * Cntr3                                   'MC3
        s5 = 5 * Cntr3                                   'MC5
        s11 = 11 * Cntr3                                 'MC11
        
        nVar = Sheets(ShtNm1).Cells(Rcrd1a, 9).Value

        If nVar < 121 Then GoTo 1000

        If MC11 <> s11 Then
                y = MsgBox("Conflict in Data", vbCritical, "Read " + ShtNm2 + " " + CStr(j100))
                End
        End If

        Erase b1
        For j1 = 1 To nVar
            x = Sheets(ShtNm1).Cells(Rcrd1a, 9 + j1).Value
            b1(x) = x
        Next j1
        pMax = Sheets(ShtNm1).Cells(Rcrd1a, 9 + nVar).Value

'       Read Semi Magic Corner Squares (3 x 3) and store in a11()
        
        Erase a11
        
        For i1 = 1 To 121
            a(i1) = Sheets(ShtNm2).Cells(j100, i1).Value
            a11(i1) = a(i1)
        Next i1
        n31 = 1: n32 = 121: GoSub 900 'Remove used primes from available primes

        Erase a

'       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

'   Generate 3 x 5 Magic Rectangles

    t11 = Timer                                                 'Time Out
    
    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)
   
    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)

    t12 = Timer: t13 = t12 - t11                                   'Time Out
    If t13 > 100 Then Erase b, c: n3 = 0: n10 = 0: t11 = Timer: GoTo 150 'Time Out, Try Next j15
    
    For j13 = m1 To m2                                          'a(13)
    If b1(a1(j13)) = 0 Then GoTo 130
    If b(a1(j13)) = 0 Then b(a1(j13)) = a1(j13): c(13) = a1(j13) Else GoTo 130
    a(13) = a1(j13)
    
    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(11) = s5 - a(12) - a(13) - a(14) - 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
    
    For j10 = m1 To m2                                         'a(10)
    If b1(a1(j10)) = 0 Then GoTo 100
    If b(a1(j10)) = 0 Then b(a1(j10)) = a1(j10): c(10) = a1(j10) Else GoTo 100
    a(10) = a1(j10)

    a(5) = s3 - a(10) - a(15)
    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 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)

    a(4) = s3 - a(9) - a(14)
    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
    
    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(3) = s3 - a(8) - a(13)
    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 j7 = m1 To m2                                          'a(7)
    If b1(a1(j7)) = 0 Then GoTo 70
    If b(a1(j7)) = 0 Then b(a1(j7)) = a1(j7): c(7) = a1(j7) Else GoTo 70
    a(7) = a1(j7)

    a(2) = s3 - a(7) - a(12)
    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(6) = s5 - a(7) - a(8) - a(9) - a(10)
    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(1) = s3 - a(6) - a(11)
    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

    n10 = n10 + 1
    Select Case n10
    
    Case 1:

        a11(4) = a(1):   a11(5) = a(2):   a11(6) = a(3):   a11(7) = a(4):   a11(8) = a(5):
        a11(15) = a(6):  a11(16) = a(7):  a11(17) = a(8):  a11(18) = a(9):  a11(19) = a(10):
        a11(26) = a(11): a11(27) = a(12): a11(28) = a(13): a11(29) = a(14): a11(30) = a(15):
        
        n31 = 1: n32 = 15: GoSub 900                'Remove used primes
        Erase b, c: b(Cntr3) = Cntr3: GoTo 150

    Case 2:

        a11(42) = a(11): a11(43) = a(6): a11(44) = a(1):
        a11(53) = a(12): a11(54) = a(7): a11(55) = a(2):
        a11(64) = a(13): a11(65) = a(8): a11(66) = a(3):
        a11(75) = a(14): a11(76) = a(9): a11(77) = a(4):
        a11(86) = a(15): a11(87) = a(10): a11(88) = a(5):
        
        n31 = 1: n32 = 15: GoSub 900                'Remove used primes
        Erase b, c:  b(Cntr3) = Cntr3: GoTo 150
       
    Case 3:

        a11(92) = a(1): a11(93) = a(2): a11(94) = a(3): a11(95) = a(4): a11(96) = a(5):
        a11(103) = a(6): a11(104) = a(7): a11(105) = a(8): a11(106) = a(9): a11(107) = a(10):
        a11(114) = a(11): a11(115) = a(12): a11(116) = a(13): a11(117) = a(14): a11(118) = a(15):
        
        n31 = 1: n32 = 15: GoSub 900                'Remove used primes
        Erase b, c:  b(Cntr3) = Cntr3: GoTo 150
        
    Case 4:

        a11(34) = a(11): a11(35) = a(6): a11(36) = a(1):
        a11(45) = a(12): a11(46) = a(7): a11(47) = a(2):
        a11(56) = a(13): a11(57) = a(8): a11(58) = a(3):
        a11(67) = a(14): a11(68) = a(9): a11(69) = a(4):
        a11(78) = a(15): a11(79) = a(10): a11(80) = a(5):

        GoSub 800:                                  'Back Check Identical Numbers a11()
        If fl1 = 1 Then
           n9 = n9 + 1: GoSub 1650                  'Print results (squares)
'          n9 = n9 + 1: GoSub 1640                  'Print results (lines)
        End If
        Erase b1, b, c: GoTo 1000                   'Continue with next Magic Sum
    
    End Select

   b(c(1)) = 0: c(1) = 0
10 b(c(6)) = 0: c(6) = 0
60 b(c(2)) = 0: c(2) = 0
20 b(c(7)) = 0: c(7) = 0
70 Next j7

   b(c(3)) = 0: c(3) = 0
30 b(c(8)) = 0: c(8) = 0
80 Next j8

   b(c(4)) = 0: c(4) = 0
40 b(c(9)) = 0: c(9) = 0
90 Next j9

    b(c(5)) = 0: c(5) = 0
50  b(c(10)) = 0: c(10) = 0
100 Next j10

    b(c(11)) = 0: c(11) = 0
110 b(c(12)) = 0: c(12) = 0
120 Next j12

    b(c(13)) = 0: c(13) = 0
130 Next j13

    b(c(14)) = 0: c(14) = 0
140 Next j14

    b(c(15)) = 0: c(15) = 0
150 Next j15

     n3 = 0: n10 = 0
     Erase b1, b, c
1000 Next j100
    
    t2 = Timer
    
    t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions"
    y = MsgBox(t10, 0, "Routine Priem11d2")

End

'   Double Check Identical Numbers a11()

800 fl1 = 1
    For i1 = 1 To 121
       a20 = a11(i1): If a20 = 0 Then GoTo 810
       For i2 = (1 + i1) To 121
           If a20 = a11(i2) Then fl1 = 0: Return
       Next i2
810 Next i1
    Return

'   Remove used pairs from b1()

900 For i1 = n31 To n32
        b1(a(i1)) = 0
    Next i1
    Return

'    Print results (lines)

1640 Cells(n9, 122).Select
     For i1 = 1 To 121
         Cells(n9, i1).Value = a11(i1)
     Next i1
     Cells(n9, 122).Value = s11
     Cells(n9, 123).Value = Rcrd1a
     Return

'    Print results (squares)

1650 n2 = n2 + 1
     If n2 = 2 Then
         n2 = 1: k1 = k1 + 12: k2 = 1
     Else
         If n9 > 1 Then k2 = k2 + 12
     End If

     Cells(k1, k2 + 1).Select
     Cells(k1, k2 + 1).Font.Color = -4165632
     Cells(k1, k2 + 1).Value = "MC = " + CStr(s11)
    
     i3 = 0
     For i1 = 1 To 11
         For i2 = 1 To 11
             i3 = i3 + 1
             Cells(k1 + i1, k2 + i2).Value = a11(i3)
         Next i2
     Next i1
     
     Return

End Sub

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