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' Generates Eccentric Magic Squares of order 7 for Prime Numbers

' Tested with Office 2007 under Windows 7

Sub Priem7b()

    Dim a1(2448), a(49), a2(25), b(21817), b(21817), c(49)

    y = MsgBox("Locked", vbCritical, "Routine Priem7b")
    End

    Sheets("Klad1").Select

    n5 = 0: n9 = 0: k1 = 1: k2 = 1
    ShtNm1 = "Pairs7"
    ShtNm2 = "Solutions1434"
    
    t1 = Timer

    For j100 = 2 To 2042
        
'       Read Pairs

        s1 = Sheets(ShtNm1).Cells(j100, 3).Value       'MC7
        nVar = Sheets(ShtNm1).Cells(j100, 9).Value
        s2 = 2 * s1 / 7

        For j1 = 1 To nVar
            x = Sheets(ShtNm1).Cells(j100, 9 + j1).Value
            b(x) = x
        Next j1
    
'       Read Magic Square 5 x 5
    
        j200 = j100 - 1
        n3 = Int(j200 / 4)
        n4 = (j200 / 4 - n3) * 4
        If n4 = 0 Then n4 = 4: n3 = n3 - 1
    
        n1 = n3 * 6 + 2
        n2 = (n4 - 1) * 6 + 2
    
        i4 = 0
        For j1 = n1 To n1 + 4                      'Row    within square j200
            For j2 = n2 To n2 + 4                  'Column within square j200
                i4 = i4 + 1
                a2(i4) = Sheets(ShtNm2).Cells(j1, j2).Value        'load Magic Square 5 x 5
            Next j2
        Next j1

'       Store Magic Square 5 x 5 in a()
        
        a(17) = a2(1):  a(18) = a2(2):  a(19) = a2(3):  a(20) = a2(4):  a(21) = a2(5):
        a(24) = a2(6):  a(25) = a2(7):  a(26) = a2(8):  a(27) = a2(9):  a(28) = a2(10):
        a(31) = a2(11): a(32) = a2(12): a(33) = a2(13): a(34) = a2(14): a(35) = a2(15):
        a(38) = a2(16): a(39) = a2(17): a(40) = a2(18): a(41) = a2(19): a(42) = a2(20):
        a(45) = a2(21): a(46) = a2(22): a(47) = a2(23): a(48) = a2(24): a(49) = a2(25):

'       Remove used pairs from b()

        For j1 = 1 To 25
            b(a2(j1)) = 0
        Next j1

'       Restore available pairs in a1()

        n10 = 0
        For j1 = 1 To 21817
            If b(j1) <> 0 Then
                n10 = n10 + 1
                a1(n10) = b(j1)
            End If
        Next j1
        m1 = 1: m2 = n10

'       Determine Complementary rows and columns

t11 = Timer                                                     'Time Out

For j44 = m1 To m2                                              'a(44)
If b(a1(j44)) = 0 Then b(a1(j44)) = a1(j44): c(44) = a1(j44) Else GoTo 440
a(44) = a1(j44)
         
a(43) = s2 - a(44): If b(a(43)) = 0 Then b(a(43)) = a(43): c(43) = a(43) Else GoTo 430

For j37 = m1 To m2                                              'a(37)
If b(a1(j37)) = 0 Then b(a1(j37)) = a1(j37): c(37) = a1(j37) Else GoTo 370
a(37) = a1(j37)

a(36) = s2 - a(37): If b(a(36)) = 0 Then b(a(36)) = a(36): c(36) = a(36) Else GoTo 360
     
For j30 = m1 To m2                                              'a(30)
If b(a1(j30)) = 0 Then b(a1(j30)) = a1(j30): c(30) = a1(j30) Else GoTo 300
a(30) = a1(j30)

t12 = Timer: t13 = t12 - t11                                    'Time Out
If t13 > 60 Then Erase b, b, c: GoTo 1000                      'Time Out, Try Next
     
a(29) = s2 - a(30): If b(a(29)) = 0 Then b(a(29)) = a(29): c(29) = a(29) Else GoTo 290

For j23 = m1 To m2                                              'a(23)
If b(a1(j23)) = 0 Then b(a1(j23)) = a1(j23): c(23) = a1(j23) Else GoTo 230
a(23) = a1(j23)
     
a(22) = s2 - a(23): If b(a(22)) = 0 Then b(a(22)) = a(22): c(22) = a(22) Else GoTo 220

For j16 = m1 To m2                                              'a(16)
If b(a1(j16)) = 0 Then b(a1(j16)) = a1(j16): c(16) = a1(j16) Else GoTo 160
a(16) = a1(j16)
    
a(15) = s2 - a(16): If b(a(15)) = 0 Then b(a(15)) = a(15): c(15) = a(15) Else GoTo 150

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(13) = 5 * s1 / 7 + a(14) - a(19) - a(25) - a(31) - a(37) - a(43)
If a(13) < a1(m1) Or a(13) > a1(m2) Then GoTo 130
If b(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) = s2 - a(14): If b(a(7)) = 0 Then b(a(7)) = a(7): c(7) = a(7) Else GoTo 70
a(6) = s2 - a(13): If b(a(6)) = 0 Then b(a(6)) = a(6): c(6) = a(6) Else GoTo 60

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

a(5) = s2 - a(12): If b(a(5)) = 0 Then b(a(5)) = a(5): c(5) = a(5) Else GoTo 50

For j11 = m1 To m2                                              'a(11)
If b(a1(j11)) = 0 Then b(a1(j11)) = a1(j11): c(11) = a1(j11) Else GoTo 110
a(11) = a1(j11)
     
a(4) = s2 - a(11): If b(a(4)) = 0 Then b(a(4)) = a(4): c(4) = a(4) Else GoTo 40
     
For j10 = m1 To m2                                              'a(10)
If b(a1(j10)) = 0 Then b(a1(j10)) = a1(j10): c(10) = a1(j10) Else GoTo 100
a(10) = a1(j10)

a(9) = 3 * s2 - 0.5 * (a(10) + a(11) + a(12) + a(13) + a(14) + a(16) + a(23) + a(30) + a(37) + a(44))
If a(9) < a1(m1) Or a(9) > a1(m2) Or Int(a(9)) <> a(9) Then GoTo 90
If b(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(8) = -5 * s1 / 7 + a(9) + a(16) + a(23) + a(30) + a(37) + a(44)
If a(8) < a1(m1) Or a(8) > a1(m2) Then GoTo 80
If b(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(3) = s2 - a(10): If b(a(3)) = 0 Then b(a(3)) = a(3): c(3) = a(3) Else GoTo 30
a(2) = s2 - a(8):  If b(a(2)) = 0 Then b(a(2)) = a(2): c(2) = a(2) Else GoTo 20
a(1) = s2 - a(9):  If b(a(1)) = 0 Then b(a(1)) = a(1): c(1) = a(1) Else GoTo 10


                             n9 = n9 + 1
                             GoSub 2650                  'Print results (squares)
'                            GoSub 2645                  'Print results (selected numbers)
                             Erase b, b, c: GoTo 1000   'Print only first square
    
    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(8)) = 0: c(8) = 0
80  b(c(9)) = 0: c(9) = 0
90  b(c(10)) = 0: c(10) = 0
100 Next j10
    
    b(c(4)) = 0: c(4) = 0
40  b(c(11)) = 0: c(11) = 0
110 Next j11
    
    b(c(5)) = 0: c(5) = 0
50  b(c(12)) = 0: c(12) = 0
120 Next j12
    
    b(c(6)) = 0: c(6) = 0
60  b(c(7)) = 0: c(7) = 0
70  b(c(13)) = 0: c(13) = 0
130 b(c(14)) = 0: c(14) = 0
140 Next j14
    
    b(c(15)) = 0: c(15) = 0
150 b(c(16)) = 0: c(16) = 0
160 Next j16
    
    b(c(22)) = 0: c(22) = 0
220 b(c(23)) = 0: c(23) = 0
230 Next j23

    b(c(29)) = 0: c(29) = 0
290 b(c(30)) = 0: c(30) = 0
300 Next j30
   
    b(c(36)) = 0: c(36) = 0
360 b(c(37)) = 0: c(37) = 0
370 Next j37
   
    b(c(43)) = 0: c(43) = 0
430 b(c(44)) = 0: c(44) = 0
440 Next j44

     Erase b, b, c
1000 Next j100

    t2 = Timer
    
    t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions"
    y = MsgBox(t10, 0, "Routine Priem7b")

End

'   Print results (selected numbers)

2645 For i1 = 1 To 49
         Cells(n9, i1).Value = a(i1)
     Next i1
    
     Return

'   Print results (squares)

2650 n5 = n5 + 1
     If n5 = 5 Then
         n5 = 1: k1 = k1 + 8: k2 = 1
     Else
         If n9 > 1 Then k2 = k2 + 8
     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 7
         For i2 = 1 To 7
             i3 = i3 + 1
             Cells(k1 + i1, k2 + i2).Value = a(i3)
         Next i2
     Next i1
    
     Return

End Sub

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