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' Constructs 10 x 10 Concentric Magic Squares (Prime Numbers)
' Split Border Lines, Optimized for Sophie Germain Primes

' Tested with Office 2007 under Windows 7

Sub Priem10c()

    Dim a1(2448), a(169), a10(100), b1(43300), b(43300), c(100)
 
    y = MsgBox("Locked", vbCritical, "Routine Priem10c")
    End

    Sheets("Klad1").Select

    n5 = 0: n9 = 0: k1 = 1: k2 = 1
    ShtNm1 = "Pairs2"
    ShtNm2 = "Lines8"
    
    t1 = Timer

    For j100 = 2 To 16
    
'       Start Reading Data ShtNm2
    
        Rcrd1a = Sheets(ShtNm2).Cells(j100, 66).Value
        MC8 = Sheets(ShtNm2).Cells(j100, 65).Value

'       Read Prime Numbers From Sheet ShtNm1

        Pr3 = Sheets(ShtNm1).Cells(Rcrd1a, 1).Value      'PairSum
        s1 = 5 * Pr3 / 2                                 'MC5
        s8 = 4 * Pr3                                     'MC8
        s10 = 5 * Pr3                                    'MC10
        nVar = Sheets(ShtNm1).Cells(Rcrd1a, 9).Value

        If nVar < 100 Then GoTo 1000

        If MC8 <> s8 Then
                y = MsgBox("Conflict in Data", vbCritical, "Read " + ShtNm2)
                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 Eccentric Square 8 x 8
        
        For i1 = 1 To 64
            a(i1) = Sheets(ShtNm2).Cells(j100, i1).Value
        Next i1
        n32 = 64: GoSub 950   'Remove used primes from available primes
        
        Erase a10

        a10(12) = a(1):  a10(13) = a(2):  a10(14) = a(3):  a10(15) = a(4):  
        a10(16) = a(5):  a10(17) = a(6):  a10(18) = a(7):  a10(19) = a(8):
        a10(22) = a(9):  a10(23) = a(10): a10(24) = a(11): a10(25) = a(12): 
        a10(26) = a(13): a10(27) = a(14): a10(28) = a(15): a10(29) = a(16):
        a10(32) = a(17): a10(33) = a(18): a10(34) = a(19): a10(35) = a(20): 
        a10(36) = a(21): a10(37) = a(22): a10(38) = a(23): a10(39) = a(24):
        a10(42) = a(25): a10(43) = a(26): a10(44) = a(27): a10(45) = a(28): 
        a10(46) = a(29): a10(47) = a(30): a10(48) = a(31): a10(49) = a(32):
        a10(52) = a(33): a10(53) = a(34): a10(54) = a(35): a10(55) = a(36): 
        a10(56) = a(37): a10(57) = a(38): a10(58) = a(39): a10(59) = a(40):
        a10(62) = a(41): a10(63) = a(42): a10(64) = a(43): a10(65) = a(44): 
        a10(66) = a(45): a10(67) = a(46): a10(68) = a(47): a10(69) = a(48):
        a10(72) = a(49): a10(73) = a(50): a10(74) = a(51): a10(75) = a(52): 
        a10(76) = a(53): a10(77) = a(54): a10(78) = a(55): a10(79) = a(56):
        a10(82) = a(57): a10(83) = a(58): a10(84) = a(59): a10(85) = a(60): 
        a10(86) = a(61): a10(87) = a(62): a10(88) = a(63): a10(89) = a(64):

        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
    
    t11 = Timer                                                   'Time Out
    
    For j1 = m1 To m2
    If b1(a1(j1)) = 0 Then GoTo 10
    If b(a1(j1)) = 0 Then b(a1(j1)) = a1(j1): c(1) = a1(j1) Else GoTo 10
    a(1) = a1(j1)
   
    a(6) = Pr3 - a(1): If b(a(6)) = 0 Then b(a(6)) = a(6): c(6) = a(6) Else GoTo 60

    For j2 = m1 To m2
    If b1(a1(j2)) = 0 Then GoTo 20
    If b(a1(j2)) = 0 Then b(a1(j2)) = a1(j2): c(2) = a1(j2) Else GoTo 20
    a(2) = a1(j2)
    
    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(7) = Pr3 - a(2): If b(a(7)) = 0 Then b(a(7)) = a(7): c(7) = a(7) Else GoTo 70

    For j3 = m1 To m2
    If b1(a1(j3)) = 0 Then GoTo 30
    If b(a1(j3)) = 0 Then b(a1(j3)) = a1(j3): c(3) = a1(j3) Else GoTo 30
    a(3) = a1(j3)
    
    a(8) = Pr3 - a(3): If b(a(8)) = 0 Then b(a(8)) = a(8): c(8) = a(8) Else GoTo 80

    For j4 = m1 To m2
    If b1(a1(j4)) = 0 Then GoTo 40
    If b(a1(j4)) = 0 Then b(a1(j4)) = a1(j4): c(4) = a1(j4) Else GoTo 40
    a(4) = a1(j4)
    
    a(9) = Pr3 - a(4): If b(a(9)) = 0 Then b(a(9)) = a(9): c(9) = a(9) Else GoTo 90

    a(5) = s1 - a(4) - a(3) - a(2) - a(1)
    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(10) = Pr3 - a(5): If b(a(10)) = 0 Then b(a(10)) = a(10): c(10) = a(10) Else GoTo 100
   
    For j11 = m1 To m2
    If b1(a1(j11)) = 0 Then GoTo 110
    If b(a1(j11)) = 0 Then b(a1(j11)) = a1(j11): c(11) = a1(j11) Else GoTo 110
    a(11) = a1(j11)
   
    a(15) = Pr3 - a(11): If b(a(15)) = 0 Then b(a(15)) = a(15): c(15) = a(15) Else GoTo 150

    For j12 = m1 To m2
    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(16) = Pr3 - a(12): If b(a(16)) = 0 Then b(a(16)) = a(16): c(16) = a(16) Else GoTo 160

    For j13 = m1 To m2
    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)
    
    a(17) = Pr3 - a(13): If b(a(17)) = 0 Then b(a(17)) = a(17): c(17) = a(17) Else GoTo 170

    a(14) = s1 - a(13) - a(12) - a(11) - a(1)
    If a(14) < a1(m1) Or a(14) > a1(m2) Then GoTo 140:
    If b1(a(14)) = 0 Then GoTo 140
    If b(a(14)) = 0 Then b(a(14)) = a(14): c(14) = a(14) Else GoTo 140

    a(18) = Pr3 - a(14): If b(a(18)) = 0 Then b(a(18)) = a(18): c(18) = a(18) Else GoTo 180
    
    n10 = n10 + 1
    If n10 = 1 Then
    
        a10(6) = a(5):   a10(7) = a(4): a10(8) = a(3): a10(9) = a(2): a10(10) = a(1):
        a10(91) = a(6):
        a10(96) = a(10): a10(97) = a(9): a10(98) = a(8): a10(99) = a(7):
            
        a10(11) = a(15): a10(20) = a(11):
        a10(21) = a(16): a10(30) = a(12):
        a10(31) = a(17): a10(40) = a(13):
        a10(41) = a(18): a10(50) = a(14):
        
        n32 = 18: GoSub 950                 'Remove used primes from available primes
        Erase b, c: GoTo 10
        
    Else
    
        a10(1) = a(1):  a10(2) = a(2):  a10(3) = a(3):  a10(4) = a(4):  a10(5) = a(5):
        a10(100) = a(6):
        a10(92) = a(7): a10(93) = a(8): a10(94) = a(9): a10(95) = a(10):
    
        a10(51) = a(11): a10(60) = a(15):
        a10(61) = a(12): a10(70) = a(16):
        a10(71) = a(13): a10(80) = a(17):
        a10(81) = a(14): a10(90) = a(18):
    
        GoSub 800:                          'Back Check Identical Numbers a10()
        If fl1 = 1 Then
           n9 = n9 + 1: GoSub 1650          'Print results (squares)
        End If
        Erase b1, b, c: GoTo 1000
    
    End If

    b(c(18)) = 0: c(18) = 0
180 b(c(14)) = 0: c(14) = 0
140 b(c(17)) = 0: c(17) = 0
170 b(c(13)) = 0: c(13) = 0
130 Next j13

    b(c(16)) = 0: c(16) = 0
160 b(c(12)) = 0: c(12) = 0
120 Next j12

    b(c(15)) = 0: c(15) = 0
150 b(c(11)) = 0: c(11) = 0
110 Next j11

    b(c(10)) = 0: c(10) = 0
100 b(c(5)) = 0: c(5) = 0
50  b(c(9)) = 0: c(9) = 0
90  b(c(4)) = 0: c(4) = 0
40  Next j4

    b(c(8)) = 0: c(8) = 0
80 b(c(3)) = 0: c(3) = 0
30 Next j3

    b(c(7)) = 0: c(7) = 0
70 b(c(2)) = 0: c(2) = 0
20 Next j2

    b(c(6)) = 0: c(6) = 0
60 b(c(1)) = 0: c(1) = 0
10 Next j1
    
     Erase b1, b, c
1000 Next j100
    
    t2 = Timer
    
    t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions"
    y = MsgBox(t10, 0, "Routine Priem10c")

End

'   Double Check Identical Numbers a10()

800 fl1 = 1
    For i1 = 1 To 100
       a20 = a10(i1): If a20 = 0 Then GoTo 810
       For i2 = (1 + i1) To 100
           If a20 = a10(i2) Then fl1 = 0: Return
       Next i2
810 Next i1
    Return

'   Remove used pairs from b1()

950 For i1 = 1 To n32
        b1(a(i1)) = 0
        b1(Pr3 - a(i1)) = 0	'Complement (Non Sym Cntr Sqr)
    Next i1
    Return

'    Print results (lines)

1640 Cells(n9, 100).Select
     For i1 = 1 To 100
         Cells(n9, i1).Value = a10(i1)
     Next i1
    
     Return

'    Print results (squares)

1650 n2 = n2 + 1
     If n2 = 3 Then
         n2 = 1: k1 = k1 + 11: k2 = 1
     Else
         If n9 > 1 Then k2 = k2 + 11
     End If

     Cells(k1, k2 + 1).Select
     Cells(k1, k2 + 1).Font.Color = -4165632
     Cells(k1, k2 + 1).Value = "MC = " + CStr(s10)
    
     i3 = 0
     For i1 = 1 To 10
         For i2 = 1 To 10
             i3 = i3 + 1
             Cells(k1 + i1, k2 + i2).Value = a10(i3)
         Next i2
     Next i1

     Return

End Sub

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