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' Generates Eccentric Magic Squares of order 6 for Prime Numbers

' Tested with Office 2007 under Windows 7

Sub Priem6d2()

    Dim a1(2448), a(36), a4(36), b1(43300), b(43300), c(36)

y = MsgBox("Locked", vbCritical, "Routine Priem6d2")
End

n2 = 0: n3 = 0: n9 = 0: k1 = 1: k2 = 1
Sht1 = "Pairs8"
Sht2 = "PM4"
    
    Sheets("Klad1").Select
    
    t1 = Timer
    
For j100 = 2 To 2237

    Rcrd1a = Sheets(Sht2).Cells(j100, 18).Value
    
'   Define variables

    Pr6 = Sheets(Sht1).Cells(Rcrd1a, 1).Value    'PairSum
    s1 = 3 * Pr6                                 'MC6
    s3 = s1 / 2
    nVar1 = Sheets(Sht1).Cells(Rcrd1a, 5).Value
    
'   Read Prime Numbers From sheet Sht1
    
    For i1 = 1 To nVar1
        a1(i1) = Sheets(Sht1).Cells(Rcrd1a, 6 + i1).Value
    Next i1
    pMax = Sheets(Sht1).Cells(Rcrd1a, 6 + nVar1).Value

    m1 = 1: m2 = nVar1

    Erase b1
    For i1 = m1 To m2
        b1(a1(i1)) = a1(i1)
    Next i1
    
'   Read Border Square and remove from Available Primes

    For i1 = 1 To 16
        a4(i1) = Sheets(Sht2).Cells(j100, i1).Value
        b1(a4(i1)) = 0
    Next i1
    
'   Load Corner Square

    a(15) = a4(1):  a(16) = a4(2):  a(17) = a4(3):  a(18) = a4(4):
    a(21) = a4(5):  a(22) = a4(6):  a(23) = a4(7):  a(24) = a4(8):
    a(27) = a4(9):  a(28) = a4(10): a(29) = a4(11): a(30) = a4(12):
    a(33) = a4(13): a(34) = a4(14): a(35) = a4(15): a(36) = a4(16):
    
'   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
    
'   Determine Main Diagonal and related pairs

    Erase a4

    For j1 = m1 To m2
    If b(a1(j1)) = 0 Then b(a1(j1)) = a1(j1): c(1) = a1(j1) Else GoTo 10
    a4(1) = a1(j1)
   
    a4(5) = Pr6 - a4(1): If b(a4(5)) = 0 Then b(a4(5)) = a4(5): c(5) = a4(5) Else GoTo 50
   
    For j2 = m1 To m2
    If b(a1(j2)) = 0 Then b(a1(j2)) = a1(j2): c(2) = a1(j2) Else GoTo 20
    a4(2) = a1(j2)
  
    a4(6) = Pr6 - a4(2): If b(a4(6)) = 0 Then b(a4(6)) = a4(6): c(6) = a4(6) Else GoTo 60
  
    For j3 = m1 To m2
    If b(a1(j3)) = 0 Then b(a1(j3)) = a1(j3): c(3) = a1(j3) Else GoTo 30
    a4(3) = a1(j3)
    
    a4(7) = Pr6 - a4(3): If b(a4(7)) = 0 Then b(a4(7)) = a4(7): c(7) = a4(7) Else GoTo 70
    
    a4(4) = s1 - a4(3) - a4(2) - a4(1) - a(21) - a(16)
    If a4(4) < a1(m1) Or a4(4) > a1(m2) Then GoTo 40:
    If b1(a4(4)) = 0 Then GoTo 40
    If b(a4(4)) = 0 Then b(a4(4)) = a4(4): c(4) = a4(4) Else GoTo 40
    
    a4(8) = Pr6 - a4(4): If b(a4(8)) = 0 Then b(a4(8)) = a4(8): c(8) = a4(8) Else GoTo 80
    
    a(5) = a4(6):  a(6) = a4(1):
    a(11) = a4(2): a(12) = a4(5):

    a(25) = a4(7):  a(26) = a4(3):
    a(31) = a4(4):  a(32) = a4(8):

'   Determine remainder of the pairs

    For j17 = m1 To m2                                                     'a4(17)
    If b(a1(j17)) = 0 Then b(a1(j17)) = a1(j17): c(17) = a1(j17) Else GoTo 170
    a4(17) = a1(j17)

    a4(21) = Pr6 - a4(17): If b(a4(21)) = 0 Then b(a4(21)) = a4(21): c(21) = a4(21) Else GoTo 210

    For j18 = m1 To m2
    If b(a1(j18)) = 0 Then b(a1(j18)) = a1(j18): c(18) = a1(j18) Else GoTo 180
    a4(18) = a1(j18)
    
    a4(22) = Pr6 - a4(18): If b(a4(22)) = 0 Then b(a4(22)) = a4(22): c(22) = a4(22) Else GoTo 220

    For j19 = m1 To m2
    If b(a1(j19)) = 0 Then b(a1(j19)) = a1(j19): c(19) = a1(j19) Else GoTo 190
    a4(19) = a1(j19)
    
    a4(24) = Pr6 - a4(19): If b(a4(24)) = 0 Then b(a4(24)) = a4(24): c(24) = a4(24) Else GoTo 240

    a4(20) = s1 - a4(19) - a4(18) - a4(17) - a4(6) - a4(1)
    If a4(20) < a1(m1) Or a4(20) > a1(m2) Then GoTo 200:
    If b1(a4(20)) = 0 Then GoTo 200
    If b(a4(20)) = 0 Then b(a4(20)) = a4(20): c(20) = a4(20) Else GoTo 200
   
    a4(23) = Pr6 - a4(20): If b(a4(23)) = 0 Then b(a4(23)) = a4(23): c(23) = a4(23) Else GoTo 230
 
    a(1) = a4(20):  a(2) = a4(19):  a(3) = a4(18):  a(4) = a4(17):
    a(7) = a4(24):  a(8) = a4(23):  a(9) = a4(22):  a(10) = a4(21):

    For j25 = m1 To m2
    If b(a1(j25)) = 0 Then b(a1(j25)) = a1(j25): c(25) = a1(j25) Else GoTo 250
    a4(25) = a1(j25)
    
    a4(27) = Pr6 - a4(25): If b(a4(27)) = 0 Then b(a4(27)) = a4(27): c(27) = a4(27) Else GoTo 270

    a4(26) = s1 - a4(25) - a4(24) - a4(20) - a4(7) - a4(4)
    If a4(26) < a1(m1) Or a4(26) > a1(m2) Then GoTo 260:
    If b1(a4(26)) = 0 Then GoTo 260
    If b(a4(26)) = 0 Then b(a4(26)) = a4(26): c(26) = a4(26) Else GoTo 260

    a4(28) = Pr6 - a4(26): If b(a4(28)) = 0 Then b(a4(28)) = a4(28): c(28) = a4(28) Else GoTo 280

    a(13) = a4(25): a(14) = a4(27):
    a(19) = a4(26): a(20) = a4(28):


                                    n9 = n9 + 1
'                                   GoSub 2650 'Print results (squares)
                                    GoSub 2645 'Print results (selected numbers)
                                    Erase b, c: GoTo 500


5   b(c(28)) = 0: c(28) = 0
280 b(c(26)) = 0: c(26) = 0
260 b(c(27)) = 0: c(27) = 0
270 b(c(25)) = 0: c(25) = 0
250 Next j25

    b(c(23)) = 0: c(23) = 0
230 b(c(20)) = 0: c(20) = 0
200 b(c(24)) = 0: c(24) = 0
240 b(c(19)) = 0: c(19) = 0
190 Next j19

    b(c(22)) = 0: c(22) = 0
220 b(c(18)) = 0: c(18) = 0
180 Next j18

    b(c(21)) = 0: c(21) = 0
210 b(c(17)) = 0: c(17) = 0
170 Next j17

90  b(c(8)) = 0: c(8) = 0
80  b(c(4)) = 0: c(4) = 0
40  b(c(7)) = 0: c(7) = 0
70  b(c(3)) = 0: c(3) = 0
30  Next j3

   b(c(6)) = 0: c(6) = 0
60 b(c(2)) = 0: c(2) = 0
20 Next j2

   b(c(5)) = 0: c(5) = 0
50 b(c(1)) = 0: c(1) = 0
10 Next j1
   
    Erase b, c:
500 Next j100
    
    t2 = Timer
    
    t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s1)
    y = MsgBox(t10, 0, "Routine Priem6d2")

End

'    Print results (selected numbers)

2645 For i1 = 1 To 36
         Cells(n9, i1).Value = a(i1)
     Next i1
     Cells(n9, 37).Select
     Cells(n9, 37).Value = s1
     Cells(n9, 38).Value = Rcrd1a
     Return

'    Print results (squares)

2650 n2 = n2 + 1
     If n2 = 5 Then
         n2 = 1: k1 = k1 + 7: k2 = 1
     Else
         If n9 > 1 Then k2 = k2 + 7
     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 6
         For i2 = 1 To 6
             i3 = i3 + 1
             Cells(k1 + i1, k2 + i2).Value = a(i3)
         Next i2
     Next i1
    
     Return
     
End Sub

Vorige Pagina About the Author