Vorige Pagina About the Author

' Generates Eccentric Magic Squares of order 9, based on supplementar rows and columns

' Tested with Office 2007 under Windows 7

Sub MgcSqr9e()

Dim a1(49), a(81), b(81), c(81)

y = MsgBox("Locked", vbCritical, "Routine MgcSqr9e")
End

'   Defining Pan Magic Square (7 x 7)

'a1(1) = 11:  a1(2) = 16:  a1(3) = 28:  a1(4) = 33:  a1(5) = 38:  a1(6) = 43:  a1(7) = 6
'a1(8) = 47:  a1(9) = 3:   a1(10) = 8:  a1(11) = 20: a1(12) = 25: a1(13) = 30: a1(14) = 42
'a1(15) = 34: a1(16) = 39: a1(17) = 44: a1(18) = 7:  a1(19) = 12: a1(20) = 17: a1(21) = 22
'a1(22) = 21: a1(23) = 26: a1(24) = 31: a1(25) = 36: a1(26) = 48: a1(27) = 4:  a1(28) = 9
'a1(29) = 1:  a1(30) = 13: a1(31) = 18: a1(32) = 23: a1(33) = 35: a1(34) = 40: a1(35) = 45
'a1(36) = 37: a1(37) = 49: a1(38) = 5:  a1(39) = 10: a1(40) = 15: a1(41) = 27: a1(42) = 32
'a1(43) = 24: a1(44) = 29: a1(45) = 41: a1(46) = 46: a1(47) = 2:  a1(48) = 14: a1(49) = 19

'   Defining Eccentric Square (7 x 7)

a1(1) = 8:   a1(2) = 38:  a1(3) = 2:   a1(4) = 3:   a1(5) = 40:  a1(6) = 39:  a1(7) = 45
a1(8) = 12:  a1(9) = 42:  a1(10) = 48: a1(11) = 47: a1(12) = 10: a1(13) = 11: a1(14) = 5
a1(15) = 7:  a1(16) = 43: a1(17) = 17: a1(18) = 31: a1(19) = 15: a1(20) = 32: a1(21) = 30
a1(22) = 9:  a1(23) = 41: a1(24) = 19: a1(25) = 33: a1(26) = 35: a1(27) = 18: a1(28) = 20
a1(29) = 46: a1(30) = 4:  a1(31) = 16: a1(32) = 34: a1(33) = 28: a1(34) = 23: a1(35) = 24
a1(36) = 44: a1(37) = 6:  a1(38) = 37: a1(39) = 13: a1(40) = 21: a1(41) = 25: a1(42) = 29
a1(43) = 49: a1(44) = 1:  a1(45) = 36: a1(46) = 14: a1(47) = 26: a1(48) = 27: a1(49) = 22


n2 = 0: n9 = 0
m1 = 1: m2 = 81: s1 = 369
    
    Sheets("Klad1").Select
    
    t1 = Timer
   
'   Initiate a(..)

For j1 = 21 To 81

    Select Case j1
        Case 21 To 27
             a(j1) = a1(j1 - 20) + 16: b(a(j1)) = a(j1): c(j1) = a(j1)
        Case 30 To 36
             a(j1) = a1(j1 - 22) + 16: b(a(j1)) = a(j1): c(j1) = a(j1)
        Case 39 To 45
             a(j1) = a1(j1 - 24) + 16: b(a(j1)) = a(j1): c(j1) = a(j1)
        Case 48 To 54
             a(j1) = a1(j1 - 26) + 16: b(a(j1)) = a(j1): c(j1) = a(j1)
        Case 57 To 63
             a(j1) = a1(j1 - 28) + 16: b(a(j1)) = a(j1): c(j1) = a(j1)
        Case 66 To 72
             a(j1) = a1(j1 - 30) + 16: b(a(j1)) = a(j1): c(j1) = a(j1)
        Case 75 To 81
             a(j1) = a1(j1 - 32) + 16: b(a(j1)) = a(j1): c(j1) = a(j1)
    End Select

Next j1

For j74 = 80 To 80                                             'a(74)
     If b(j74) = 0 Then b(j74) = j74: c(74) = j74 Else GoTo 740
     a(74) = j74

a(73) = 82 - a(74)
If a(73) <= 0 Or a(73) > 81 Then GoTo 730
If b(a(73)) = 0 Then b(a(73)) = a(73): c(73) = a(73) Else GoTo 730

For j65 = 78 To 78                                             'a(65)
     If b(j65) = 0 Then b(j65) = j65: c(65) = j65 Else GoTo 650
     a(65) = j65

a(64) = 82 - a(65)
If a(64) <= 0 Or a(64) > 81 Then GoTo 640
If b(a(64)) = 0 Then b(a(64)) = a(64): c(64) = a(64) Else GoTo 640

For j56 = 77 To 77                                             'a(56)
     If b(j56) = 0 Then b(j56) = j56: c(56) = j56 Else GoTo 560
     a(56) = j56

a(55) = 82 - a(56)
If a(55) <= 0 Or a(55) > 81 Then GoTo 550
If b(a(55)) = 0 Then b(a(55)) = a(55): c(55) = a(55) Else GoTo 550

For j47 = m1 To m2                                             'a(47)
     If b(j47) = 0 Then b(j47) = j47: c(47) = j47 Else GoTo 470
     a(47) = j47
     
a(46) = 82 - a(47)
If a(46) <= 0 Or a(46) > 81 Then GoTo 460
If b(a(46)) = 0 Then b(a(46)) = a(46): c(46) = a(46) Else GoTo 460

For j38 = m1 To m2                                             'a(38)
     If b(j38) = 0 Then b(j38) = j38: c(38) = j38 Else GoTo 380
     a(38) = j38

a(37) = 82 - a(38)
If a(37) <= 0 Or a(37) > 81 Then GoTo 370
If b(a(37)) = 0 Then b(a(37)) = a(37): c(37) = a(37) Else GoTo 370

For j29 = m1 To m2                                             'a(29)
     If b(j29) = 0 Then b(j29) = j29: c(29) = j29 Else GoTo 290
     a(29) = j29

a(28) = 82 - a(29)
If a(28) <= 0 Or a(28) > 81 Then GoTo 280
If b(a(28)) = 0 Then b(a(28)) = a(28): c(28) = a(28) Else GoTo 280

For j20 = m1 To m2                                             'a(20)
     If b(j20) = 0 Then b(j20) = j20: c(20) = j20 Else GoTo 200
     a(20) = j20

a(19) = 82 - a(20)
If a(19) <= 0 Or a(19) > 81 Then GoTo 190
If b(a(19)) = 0 Then b(a(19)) = a(19): c(19) = a(19) Else GoTo 190

For j18 = 81 To 81                                             'a(18)
     If b(j18) = 0 Then b(j18) = j18: c(18) = j18 Else GoTo 180
     a(18) = j18

a(17) = 287 + a(18) - a(25) - a(33) - a(41) - a(49) - a(57) - a(65) - a(73)
If a(17) <= 0 Or a(17) > 81 Then GoTo 170
If b(a(17)) = 0 Then b(a(17)) = a(17): c(17) = a(17) Else GoTo 170
a(9) = 82 - a(18)
If a(9) <= 0 Or a(9) > 81 Then GoTo 90
If b(a(9)) = 0 Then b(a(9)) = a(9): c(9) = a(9) Else GoTo 90
a(8) = 82 - a(17)
If a(8) <= 0 Or a(8) > 81 Then GoTo 80
If b(a(8)) = 0 Then b(a(8)) = a(8): c(8) = a(8) Else GoTo 80

For j16 = 76 To 76                                             'a(16)
     If b(j16) = 0 Then b(j16) = j16: c(16) = j16 Else GoTo 160
     a(16) = j16

a(7) = 82 - a(16)
If a(7) <= 0 Or a(7) > 81 Then GoTo 70
If b(a(7)) = 0 Then b(a(7)) = a(7): c(7) = a(7) Else GoTo 70

For j15 = 74 To 74                                             'a(15)
     If b(j15) = 0 Then b(j15) = j15: c(15) = j15 Else GoTo 150
     a(15) = j15

a(6) = 82 - a(15)
If a(6) <= 0 Or a(6) > 81 Then GoTo 60
If b(a(6)) = 0 Then b(a(6)) = a(6): c(6) = a(6) Else GoTo 60

For j14 = m1 To m2                                               'a(14)
     If b(j14) = 0 Then b(j14) = j14: c(14) = j14 Else GoTo 140
     a(14) = j14

a(5) = 82 - a(14)
If a(5) <= 0 Or a(5) > 81 Then GoTo 50
If b(a(5)) = 0 Then b(a(5)) = a(5): c(5) = a(5) Else GoTo 50

For j13 = m1 To m2                                               'a(13)
     If b(j13) = 0 Then b(j13) = j13: c(13) = j13 Else GoTo 130
     a(13) = j13

a(4) = 82 - a(13)
If a(4) <= 0 Or a(4) > 81 Then GoTo 40
If b(a(4)) = 0 Then b(a(4)) = a(4): c(4) = a(4) Else GoTo 40

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

n10 = n10 + 1: Cells(1, 41).Value = n10                        'Prevent Time Out

a(11) = 41 + 0.5 * (-a(12) - a(13) - a(14) - a(15) - a(16) - a(17) - a(18) + a(19) + a(28) + a(37) + a(46) + a(55) + a(64) + a(73))
If a(11) <= 0 Or a(11) > 81 Or Int(a(11)) <> a(11) Then GoTo 110
If b(a(11)) = 0 Then b(a(11)) = a(11): c(11) = a(11) Else GoTo 110

a(10) = 369 - a(11) - a(12) - a(13) - a(14) - a(15) - a(16) - a(17) - a(18)
If a(10) <= 0 Or a(10) > 81 Then GoTo 100
If b(a(10)) = 0 Then b(a(10)) = a(10): c(10) = a(10) Else GoTo 100

a(3) = 82 - a(12)
If a(3) <= 0 Or a(3) > 81 Then GoTo 30
If b(a(3)) = 0 Then b(a(3)) = a(3): c(3) = a(3) Else GoTo 30

a(2) = 82 - a(10)
If a(2) <= 0 Or a(2) > 81 Then GoTo 20
If b(a(2)) = 0 Then b(a(2)) = a(2): c(2) = a(2) Else GoTo 20

a(1) = 82 - a(11)
If a(1) <= 0 Or a(1) > 81 Then GoTo 10
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)

    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(10)) = 0: c(10) = 0
100 b(c(11)) = 0: c(11) = 0
110 b(c(12)) = 0: c(12) = 0
120 Next j12

    b(c(4)) = 0: c(4) = 0
40  b(c(13)) = 0: c(13) = 0
130 Next j13

    b(c(5)) = 0: c(5) = 0
50  b(c(14)) = 0: c(14) = 0
140 Next j14

    b(c(6)) = 0: c(6) = 0
60  b(c(15)) = 0: c(15) = 0
150 Next j15

    b(c(7)) = 0: c(7) = 0
70  b(c(16)) = 0: c(16) = 0
160 Next j16

    b(c(8)) = 0: c(8) = 0
80  b(c(9)) = 0: c(9) = 0
90  b(c(17)) = 0: c(17) = 0
170 b(c(18)) = 0: c(18) = 0
180 Next j18

    b(c(19)) = 0: c(19) = 0
190 b(c(20)) = 0: c(20) = 0
200 Next j20

    b(c(28)) = 0: c(28) = 0
280 b(c(29)) = 0: c(29) = 0
290 Next j29

    b(c(37)) = 0: c(37) = 0
370 b(c(38)) = 0: c(38) = 0
380 Next j38

    b(c(46)) = 0: c(46) = 0
460 b(c(47)) = 0: c(47) = 0
470 Next j47

    b(c(55)) = 0: c(55) = 0
550 b(c(56)) = 0: c(56) = 0
560 Next j56

    b(c(64)) = 0: c(64) = 0
640 b(c(65)) = 0: c(65) = 0
650 Next j65

    b(c(73)) = 0: c(73) = 0
730 b(c(74)) = 0: c(74) = 0
740 Next j74
    
    t2 = Timer
    
    t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s1)
    y = MsgBox(t10, 0, "Routine MgcSqr9e")

End

'   Print results (selected numbers)

2645 For i1 = 1 To 81
         Cells(n9, i1).Value = a(i1)
     Next i1
    
     Return

'   Print results (squares)

2650 n2 = n2 + 1
     If n2 = 5 Then
         n2 = 1: k1 = k1 + 10: k2 = 0
     Else
         If n9 > 1 Then k2 = k2 + 10
     End If
     Cells(k1 + 1, k2 + 1).Select
    
     i3 = 0
     For i1 = 1 To 9
         For i2 = 1 To 9
             i3 = i3 + 1
             Cells(k1 + i1, k2 + i2).Value = a(i3)
         Next i2
     Next i1
    
     Return

End Sub

Vorige Pagina About the Author