Vorige Pagina About the Author

' Generates Interior Borders for:
' Quadrant P02 Bordered Magic Squares of order 13, MC = 1105

' Tested with Office 365 under Windows 10

Sub Priem11b()

   Dim a1(40), a(121), b1(169), b(169), c(121)
   Dim a2(16), a9(81)

y = MsgBox("Locked", vbCritical, "Routine Priem11b")
End

   n2 = 0: n3 = 0: k1 = 2: k2 = 2: n9 = 0: n10 = 0

   ShtNm1 = "Solutions6"
   ShtNm2 = "SemiCntr9"

'  Define Border Integers (Applicable for Semi Latin Square Method)

   a1(1) = 15:   a1(2) = 16:   a1(3) = 17:   a1(4) = 18:   a1(5) = 19:   a1(6) = 20:   a1(7) = 21:   a1(8) = 22:
   a1(9) = 23:   a1(10) = 24:  a1(11) = 25:  a1(12) = 28:  a1(13) = 38:  a1(14) = 41:  a1(15) = 51:  a1(16) = 54:
   a1(17) = 64:  a1(18) = 67:  a1(19) = 77:  a1(20) = 80:  a1(21) = 90:  a1(22) = 93:  a1(23) = 103: a1(24) = 106:
   a1(25) = 116: a1(26) = 119: a1(27) = 129: a1(28) = 132: a1(29) = 142: a1(30) = 145: a1(31) = 146: a1(32) = 147:
   a1(33) = 148: a1(34) = 149: a1(35) = 150: a1(36) = 151: a1(37) = 152: a1(38) = 153: a1(39) = 154: a1(40) = 155:

   Erase b1
   For i1 = 1 To 40
       b1(a1(i1)) = a1(i1)
   Next i1
   m1 = 1: m2 = 40
   
   s1 = 935: Pr11 = 170

'  Generate Squares

   Sheets("Klad1").Select
    
   t1 = Timer

For j100 = 2 To 39

' Read Auxiliary Square (6 x 6)

Erase b
For i1 = 1 To 16
    a2(i1) = Sheets(ShtNm1).Cells(j100, i1)
    b(a2(i1)) = a2(i1)
Next i1

a(3) = a2(1):    a(9) = a2(2):
a(23) = a2(3):   a(33) = a2(6):
a(89) = a2(11):  a(99) = a2(14):
a(113) = a2(15): a(119) = a2(16):

t11 = Timer                                                               'Time Out

For j121 = m2 To m1 Step -1                                               'a(121)
If b(a1(j121)) = 0 Then b(a1(j121)) = a1(j121): c(121) = a1(j121) Else GoTo 1210
a(121) = a1(j121)

a(1) = Pr11 - a(121): If b(a(1)) = 0 Then b(a(1)) = a(1): c(1) = a(1) Else GoTo 10

For j120 = m2 To m1 Step -1                                               'a(120)
If b(a1(j120)) = 0 Then b(a1(j120)) = a1(j120): c(120) = a1(j120) Else GoTo 1200
a(120) = a1(j120)

a(10) = Pr11 - a(120): If b(a(10)) = 0 Then b(a(10)) = a(10): c(10) = a(10) Else GoTo 100

For j118 = m2 To m1 Step -1                                               'a(118)
If b(a1(j118)) = 0 Then b(a1(j118)) = a1(j118): c(118) = a1(j118) Else GoTo 1180
a(118) = a1(j118)

a(8) = Pr11 - a(118): If b(a(8)) = 0 Then b(a(8)) = a(8): c(8) = a(8) Else GoTo 80

For j117 = m2 To m1 Step -1                                               'a(117)
If b(a1(j117)) = 0 Then b(a1(j117)) = a1(j117): c(117) = a1(j117) Else GoTo 1170
a(117) = a1(j117)

a(7) = Pr11 - a(117): If b(a(7)) = 0 Then b(a(7)) = a(7): c(7) = a(7) Else GoTo 70

For j116 = m1 To m2                                               'a(116)
If b(a1(j116)) = 0 Then b(a1(j116)) = a1(j116): c(116) = a1(j116) Else GoTo 1160
a(116) = a1(j116)

a(6) = Pr11 - a(116): If b(a(6)) = 0 Then b(a(6)) = a(6): c(6) = a(6) Else GoTo 60

For j115 = m1 To m2                                               'a(115)
If b(a1(j115)) = 0 Then b(a1(j115)) = a1(j115): c(115) = a1(j115) Else GoTo 1150
a(115) = a1(j115)

a(5) = Pr11 - a(115): If b(a(5)) = 0 Then b(a(5)) = a(5): c(5) = a(5) Else GoTo 50

For j114 = m1 To m2                                               'a(114)
If b(a1(j114)) = 0 Then b(a1(j114)) = a1(j114): c(114) = a1(j114) Else GoTo 1140
a(114) = a1(j114)

a(4) = Pr11 - a(114): If b(a(4)) = 0 Then b(a(4)) = a(4): c(4) = a(4) Else GoTo 40

For j112 = m1 To m2                                               'a(112)
If b(a1(j112)) = 0 Then b(a1(j112)) = a1(j112): c(112) = a1(j112) Else GoTo 1120
a(112) = a1(j112)

a(2) = Pr11 - a(112): If b(a(2)) = 0 Then b(a(2)) = a(2): c(2) = a(2) Else GoTo 20

t12 = Timer: t13 = t12 - t11                                      'Time Out
If t13 > 10 Then Erase b, c: GoTo 1500                            'Time Out, Try Next

a(111) = s1 - a(112) - a(113) - a(114) - a(115) - a(116) - a(117) - a(118) - a(119) - a(120) - a(121)
If a(111) < a1(m1) Or a(111) > a1(m2) Then GoTo 1110:
If b1(a(111)) = 0 Then GoTo 1110
If b(a(111)) = 0 Then b(a(111)) = a(111): c(111) = a(111) Else GoTo 1110

a(11) = Pr11 - a(111): If b(a(11)) = 0 Then b(a(11)) = a(11): c(11) = a(11) Else GoTo 110

For j110 = m2 To m1 Step -1                                               'a(110)
If b(a1(j110)) = 0 Then b(a1(j110)) = a1(j110): c(110) = a1(j110) Else GoTo 1100
a(110) = a1(j110)

a(100) = Pr11 - a(110): If b(a(100)) = 0 Then b(a(100)) = a(100): c(100) = a(100) Else GoTo 1000

For j88 = m1 To m2                                                'a(88)
If b(a1(j88)) = 0 Then b(a1(j88)) = a1(j88): c(88) = a1(j88) Else GoTo 880
a(88) = a1(j88)

a(78) = Pr11 - a(88): If b(a(78)) = 0 Then b(a(78)) = a(78): c(78) = a(78) Else GoTo 780

For j77 = m1 To m2                                               'a(77)
If b(a1(j77)) = 0 Then b(a1(j77)) = a1(j77): c(77) = a1(j77) Else GoTo 770
a(77) = a1(j77)

a(67) = Pr11 - a(77): If b(a(67)) = 0 Then b(a(67)) = a(67): c(67) = a(67) Else GoTo 670

For j66 = m1 To m2                                               'a(66)
If b(a1(j66)) = 0 Then b(a1(j66)) = a1(j66): c(66) = a1(j66) Else GoTo 660
a(66) = a1(j66)

a(56) = Pr11 - a(66): If b(a(56)) = 0 Then b(a(56)) = a(56): c(56) = a(56) Else GoTo 560

For j55 = m1 To m2                                               'a(55)
If b(a1(j55)) = 0 Then b(a1(j55)) = a1(j55): c(55) = a1(j55) Else GoTo 550
a(55) = a1(j55)

a(45) = Pr11 - a(55): If b(a(45)) = 0 Then b(a(45)) = a(45): c(45) = a(45) Else GoTo 450

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(34) = Pr11 - a(44): If b(a(34)) = 0 Then b(a(34)) = a(34): c(34) = a(34) Else GoTo 340

t12 = Timer: t13 = t12 - t11                                    'Time Out
If t13 > 10 Then Erase b, c: GoTo 1500                          'Time Out, Try Next

a(22) = s1 - a(11) - a(33) - a(44) - a(55) - a(66) - a(77) - a(88) - a(99) - a(110) - a(121)
If a(22) < a1(m1) Or a(22) > a1(m2) Then GoTo 220:
If b1(a(22)) = 0 Then GoTo 220
If b(a(22)) = 0 Then b(a(22)) = a(22): c(22) = a(22) Else GoTo 220

a(12) = Pr11 - a(22): If b(a(12)) = 0 Then b(a(12)) = a(12): c(12) = a(12) Else GoTo 120

                GoSub 750                  'Read      9 x  9 Center Square
                                           'Complete 11 x 11 Conc Mgc Square
                                        
                n9 = n9 + 1: GoSub 650     'Print    11 x 11 Conc Mgc Square
                End
                
                Erase a, b, c: GoTo 1500   'Print only first border


    b(c(12)) = 0: c(12) = 0
120 b(c(22)) = 0: c(22) = 0
220
    b(c(34)) = 0: c(34) = 0
340 b(c(44)) = 0: c(44) = 0
440 Next j44

    b(c(45)) = 0: c(45) = 0
450 b(c(55)) = 0: c(55) = 0
550 Next j55

    b(c(56)) = 0: c(56) = 0
560 b(c(66)) = 0: c(66) = 0
660 Next j66

    b(c(67)) = 0: c(67) = 0
670 b(c(77)) = 0: c(77) = 0
770 Next j77

    b(c(78)) = 0: c(78) = 0
780 b(c(88)) = 0: c(88) = 0
880 Next j88

     b(c(100)) = 0: c(100) = 0
1000 b(c(110)) = 0: c(110) = 0
1100 Next j110

     b(c(11)) = 0: c(11) = 0
110  b(c(111)) = 0: c(111) = 0
1110 b(c(2)) = 0: c(2) = 0
20   b(c(112)) = 0: c(112) = 0
1120 Next j112

     b(c(4)) = 0: c(4) = 0
40   b(c(114)) = 0: c(114) = 0
1140 Next j114

     b(c(5)) = 0: c(5) = 0
50   b(c(115)) = 0: c(115) = 0
1150 Next j115

     b(c(6)) = 0: c(6) = 0
60   b(c(116)) = 0: c(116) = 0
1160 Next j116

     b(c(7)) = 0: c(7) = 0
70   b(c(117)) = 0: c(117) = 0
1170 Next j117

     b(c(8)) = 0: c(8) = 0
80   b(c(118)) = 0: c(118) = 0
1180 Next j118

     b(c(10)) = 0: c(10) = 0
100  b(c(120)) = 0: c(120) = 0
1200 Next j120
     
     b(c(1)) = 0: c(1) = 0
10   b(c(121)) = 0: c(121) = 0
1210 Next j121

1500 Next j100

   t2 = Timer
    
   t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s11)
   y = MsgBox(t10, 0, "Routine Priem11b")

End

'   Print results (lines)

640  ''Cells(n9, 122).Select
     For i1 = 1 To 121
         Cells(n9, i1).Value = a(i1)
     Next i1
     Cells(n9, 122).Value = s1
     Return

'   Print results (squares)

650  n2 = n2 + 1
     If n2 = 3 Then
         n2 = 1: k1 = k1 + 14: k2 = 2
     Else
         If n9 > 1 Then k2 = k2 + 14
     End If

     Cells(k1 - 1, k2).Font.Color = -4165632
     Cells(k1 - 1, k2).Value = n9
     Cells(k1 - 1, k2 + 1).Value = j100
    
     i3 = 0
     For i1 = 1 To 11
         For i2 = 1 To 11
             i3 = i3 + 1
             Cells(k1 + i1, k2 + i2).Value = a(i3)
         Next i2
     Next i1
     Return
     
'   Read      9 x 9  Center Square
'   Complete 11 x 11 Conc Mgc Square
     
750
    For i1 = 1 To 81
        a9(i1) = Sheets(ShtNm2).Cells(j100, i1)
    Next i1
    
a(13) = a9(1):   a(14) = a9(2):   a(15) = a9(3):   a(16) = a9(4):   a(17) = a9(5):   a(18) = a9(6):   a(19) = a9(7):
a(20) = a9(8):   a(21) = a9(9):
a(24) = a9(10):  a(25) = a9(11):  a(26) = a9(12):  a(27) = a9(13):  a(28) = a9(14):  a(29) = a9(15):  a(30) = a9(16):
a(31) = a9(17):  a(32) = a9(18):
a(35) = a9(19):  a(36) = a9(20):  a(37) = a9(21):  a(38) = a9(22):  a(39) = a9(23):  a(40) = a9(24):  a(41) = a9(25):
a(42) = a9(26):  a(43) = a9(27):
a(46) = a9(28):  a(47) = a9(29):  a(48) = a9(30):  a(49) = a9(31):  a(50) = a9(32):  a(51) = a9(33):  a(52) = a9(34):
a(53) = a9(35):  a(54) = a9(36):
a(57) = a9(37):  a(58) = a9(38):  a(59) = a9(39):  a(60) = a9(40):  a(61) = a9(41):  a(62) = a9(42):  a(63) = a9(43):
a(64) = a9(44):  a(65) = a9(45):
a(68) = a9(46):  a(69) = a9(47):  a(70) = a9(48):  a(71) = a9(49):  a(72) = a9(50):  a(73) = a9(51):  a(74) = a9(52):
a(75) = a9(53):  a(76) = a9(54):
a(79) = a9(55):  a(80) = a9(56):  a(81) = a9(57):  a(82) = a9(58):  a(83) = a9(59):  a(84) = a9(60):  a(85) = a9(61):
a(86) = a9(62):  a(87) = a9(63):
a(90) = a9(64):  a(91) = a9(65):  a(92) = a9(66):  a(93) = a9(67):  a(94) = a9(68):  a(95) = a9(69):  a(96) = a9(70):
a(97) = a9(71):  a(98) = a9(72):
a(101) = a9(73): a(102) = a9(74): a(103) = a9(75): a(104) = a9(76): a(105) = a9(77): a(106) = a9(78): a(107) = a9(79):
a(108) = a9(80): a(109) = a9(81):

    Return
    
End Sub

Vorige Pagina About the Author