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' Generates Almost Perfect Magic Cubes of order 4 for integers 1 thru 64
' Tested with Office 2007 under Windows 7Sub MgcCube4a() Dim a(64), b(64), c(64) y = MsgBox("Locked", vbCritical, "Routine MgcCube4a") End n2 = 0: n9 = 0: k1 = 1: k2 = 1 m1 = 1: m2 = 64: s1 = 130 ' Generate data Sheets("Klad1").Select t1 = Timer For j64 = 54 To 54 'a(64) If b(j64) = 0 Then b(j64) = j64: c(64) = j64 Else GoTo 640 a(64) = j64 For j63 = 19 To 19 'a(63) If b(j63) = 0 Then b(j63) = j63: c(63) = j63 Else GoTo 630 a(63) = j63 For j62 = 41 To 41 'a(62) If b(j62) = 0 Then b(j62) = j62: c(62) = j62 Else GoTo 620 a(62) = j62 a(61) = 130 - a(62) - a(63) - a(64) If a(61) <= 0 Or a(61) > 64 Then GoTo 610 'a(61) If b(a(61)) = 0 Then b(a(61)) = a(61): c(61) = a(61) Else GoTo 610 For j60 = 28 To 28 'a(60) If b(j60) = 0 Then b(j60) = j60: c(60) = j60 Else GoTo 600 a(60) = j60 For j59 = 13 To 13 'a(59) If b(j59) = 0 Then b(j59) = j59: c(59) = j59 Else GoTo 590 a(59) = j59 For j58 = 55 To 55 'a(58) If b(j58) = 0 Then b(j58) = j58: c(58) = j58 Else GoTo 580 a(58) = j58 a(57) = 130 - a(58) - a(59) - a(60) If a(57) <= 0 Or a(57) > 64 Then GoTo 570 'a(57) If b(a(57)) = 0 Then b(a(57)) = a(57): c(57) = a(57) Else GoTo 570 For j56 = 47 To 47 'a(56) If b(j56) = 0 Then b(j56) = j56: c(56) = j56 Else GoTo 560 a(56) = j56 a(55) = -130 + a(56) - a(58) + a(60) + a(62) + a(63) + 2 * a(64) If a(55) <= 0 Or a(55) > 64 Then GoTo 550 'a(55) If b(a(55)) = 0 Then b(a(55)) = a(55): c(55) = a(55) Else GoTo 550 a(54) = 130 - a(55) - a(58) - a(59) If a(54) <= 0 Or a(54) > 64 Then GoTo 540 'a(54) If b(a(54)) = 0 Then b(a(54)) = a(54): c(54) = a(54) Else GoTo 540 a(53) = -a(56) + a(58) + a(59) If a(53) <= 0 Or a(53) > 64 Then GoTo 530 'a(53) If b(a(53)) = 0 Then b(a(53)) = a(53): c(53) = a(53) Else GoTo 530 a(52) = 130 - a(56) - a(60) - a(64) If a(52) <= 0 Or a(52) > 64 Then GoTo 520 'a(52) If b(a(52)) = 0 Then b(a(52)) = a(52): c(52) = a(52) Else GoTo 520 a(51) = 130 - a(55) - a(59) - a(63) If a(51) <= 0 Or a(51) > 64 Then GoTo 510 'a(51) If b(a(51)) = 0 Then b(a(51)) = a(51): c(51) = a(51) Else GoTo 510 a(50) = a(55) + a(59) - a(62) If a(50) <= 0 Or a(50) > 64 Then GoTo 500 'a(50) If b(a(50)) = 0 Then b(a(50)) = a(50): c(50) = a(50) Else GoTo 500 a(49) = a(55) + a(58) - a(64) If a(49) <= 0 Or a(49) > 64 Then GoTo 490 'a(49) If b(a(49)) = 0 Then b(a(49)) = a(49): c(49) = a(49) Else GoTo 490 For j48 = m1 To m2 'a(48) If b(j48) = 0 Then b(j48) = j48: c(48) = j48 Else GoTo 480 a(48) = j48 For j47 = m1 To m2 'a(47) If b(j47) = 0 Then b(j47) = j47: c(47) = j47 Else GoTo 470 a(47) = j47 For j46 = m1 To m2 'a(46) If b(j46) = 0 Then b(j46) = j46: c(46) = j46 Else GoTo 460 a(46) = j46 a(45) = 130 - a(46) - a(47) - a(48) If a(45) <= 0 Or a(45) > 64 Then GoTo 450 'a(45) 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(j44) = 0 Then b(j44) = j44: c(44) = j44 Else GoTo 440 a(44) = j44 a(43) = 130 - a(44) - a(46) - a(48) - a(58) - a(60) + a(63) + a(64): If a(43) <= 0 Or a(43) > 64 Then GoTo 430 a(42) = 130 - a(43) - a(62) - a(63): If a(42) <= 0 Or a(42) > 64 Then GoTo 430 a(41) = -a(44) + a(62) + a(63): If a(41) <= 0 Or a(41) > 64 Then GoTo 430 a(40) = 130 + a(42) - a(47) - a(48) - a(56) + a(58) - a(63) - a(64): If a(40) <= 0 Or a(40) > 64 Then GoTo 430 a(39) = 130 - a(43) - a(56) - a(60): If a(39) <= 0 Or a(39) > 64 Then GoTo 430 a(38) = -a(42) + a(56) + a(60): If a(38) <= 0 Or a(38) > 64 Then GoTo 430 a(37) = 130 - a(40) - a(62) - a(63): If a(37) <= 0 Or a(37) > 64 Then GoTo 430 a(36) = 130 - a(40) - a(44) - a(48): If a(36) <= 0 Or a(36) > 64 Then GoTo 430 a(35) = -a(47) + a(56) + a(60): If a(35) <= 0 Or a(35) > 64 Then GoTo 430 a(34) = 130 - a(46) - a(56) - a(60): If a(34) <= 0 Or a(34) > 64 Then GoTo 430 a(33) = -a(36) + a(46) + a(47): If a(33) <= 0 Or a(33) > 64 Then GoTo 430 a(32) = 195 + a(44) + 1.5 * a(46) - 0.5 * a(47) - a(56) + 1.5 * a(58) - 0.5 * a(59) - a(62) - 3 * a(63) - 3 * a(64) If a(32) <= 0 Or a(32) > 64 Then GoTo 430 If Int(a(32)) <> a(32) Then GoTo 430 a(31) = -130 + a(32) - a(46) + a(48) + a(62) + a(63) + 2 * a(64): If a(31) <= 0 Or a(31) > 64 Then GoTo 430 a(30) = 130 - a(31) - a(46) - a(47): If a(30) <= 0 Or a(30) > 64 Then GoTo 430 a(29) = -a(32) + a(46) + a(47): If a(29) <= 0 Or a(29) > 64 Then GoTo 430 a(28) = -a(30) - a(44) - a(46) + 2 * a(56) - 2 * a(58) + 2 * a(63) + 2 * a(64) If a(28) <= 0 Or a(28) > 64 Then GoTo 430 a(27) = -a(32) + a(44) + a(46) + a(58) + a(60) - a(63) - a(64): If a(27) <= 0 Or a(27) > 64 Then GoTo 430 a(26) = -a(27) + a(62) + a(63): If a(26) <= 0 Or a(26) > 64 Then GoTo 430 a(25) = -a(27) - a(46) - a(48) + a(59) + a(60) + a(63) + a(64): If a(25) <= 0 Or a(25) > 64 Then GoTo 430 a(24) = 260 - a(32) - a(44) - a(48) - a(56) - a(60) - 2 * a(64): If a(24) <= 0 Or a(24) > 64 Then GoTo 430 a(23) = -a(27) + a(56) + a(60): If a(23) <= 0 Or a(23) > 64 Then GoTo 430 a(22) = 130 - a(23) - a(62) - a(63): If a(22) <= 0 Or a(22) > 64 Then GoTo 430 a(21) = -a(24) + a(62) + a(63): If a(21) <= 0 Or a(21) > 64 Then GoTo 430 a(20) = 130 - a(25) + a(44) - a(46) - a(47) - a(48) - a(56) + a(58) + a(59) + a(60) - a(62) - a(63) If a(20) <= 0 Or a(20) > 64 Then GoTo 430 a(19) = -a(21) + a(44) + a(46): If a(19) <= 0 Or a(19) > 64 Then GoTo 430 a(18) = a(21) - a(44) + a(47): If a(18) <= 0 Or a(18) > 64 Then GoTo 430 a(17) = 130 - a(20) - a(46) - a(47): If a(17) <= 0 Or a(17) > 64 Then GoTo 430 a(16) = -130 - a(18) + a(47) + a(56) + a(60) + a(62) + a(63) + a(64): If a(16) <= 0 Or a(16) > 64 Then GoTo 430 a(15) = a(19) - a(47) + a(56) + a(60) - a(63): If a(15) <= 0 Or a(15) > 64 Then GoTo 430 a(14) = 130 - a(15) - a(62) - a(63): If a(14) <= 0 Or a(14) > 64 Then GoTo 430 a(13) = -a(16) + a(62) + a(63): If a(13) <= 0 Or a(13) > 64 Then GoTo 430 a(12) = 260 + a(20) - 2 * a(44) - a(48) - a(56) - 2 * a(60) - 2 * a(64): If a(12) <= 0 Or a(12) > 64 Then GoTo 430 a(11) = 130 + a(13) - a(59) - a(62) - a(63) - a(64): If a(11) <= 0 Or a(11) > 64 Then GoTo 430 a(10) = 130 - a(11) - a(58) - a(59): If a(10) <= 0 Or a(10) > 64 Then GoTo 430 a(9) = -a(17) + a(48) + a(56): If a(9) <= 0 Or a(9) > 64 Then GoTo 430 a(8) = 130 - a(12) - a(56) - a(60): If a(8) <= 0 Or a(8) > 64 Then GoTo 430 a(7) = -a(8) - a(46) + a(47) - a(58) - a(60) + 2 * a(63) + 2 * a(64): If a(7) <= 0 Or a(7) > 64 Then GoTo 430 a(6) = -260 + a(11) + a(56) + 2 * a(59) + a(60) + a(62) + a(63) + 2 * a(64): If a(6) <= 0 Or a(6) > 64 Then GoTo 430 a(5) = 390 - a(12) - 2 * a(44) - a(46) - a(47) - 2 * a(48) - a(56) - a(60) - 2 * a(64) If a(5) <= 0 Or a(5) > 64 Then GoTo 430 a(4) = 130 + a(6) - a(59) - a(62) - a(63) - a(64): If a(4) <= 0 Or a(4) > 64 Then GoTo 430 a(3) = -a(5) + a(60) + a(62): If a(3) <= 0 Or a(3) > 64 Then GoTo 430 a(2) = -a(3) + a(62) + a(63): If a(2) <= 0 Or a(2) > 64 Then GoTo 430 a(1) = 130 - a(4) - a(62) - a(63): If a(1) <= 0 Or a(1) > 64 Then GoTo 430 ' Exclude solutions with identical numbers GoSub 800: If fl1 = 0 Then GoTo 430 n9 = n9 + 1: GoSub 740 'Print results (selected numbers) ' n9 = n9 + 1: GoSub 750 'Print results (planes 1, 2, 3) ' n9 = n9 + 1: GoSub 760 'Print results (3d) 430 b(c(44)) = 0: c(44) = 0 440 Next j44 b(c(45)) = 0: c(45) = 0 450 b(c(46)) = 0: c(46) = 0 460 Next j46 b(c(47)) = 0: c(47) = 0 470 Next j47 b(c(48)) = 0: c(48) = 0 480 Next j48 b(c(49)) = 0: c(49) = 0 490 b(c(50)) = 0: c(50) = 0 500 b(c(51)) = 0: c(51) = 0 510 b(c(52)) = 0: c(52) = 0 520 b(c(53)) = 0: c(53) = 0 530 b(c(54)) = 0: c(54) = 0 540 b(c(55)) = 0: c(55) = 0 550 b(c(56)) = 0: c(56) = 0 560 Next j56 b(c(57)) = 0: c(57) = 0 570 b(c(58)) = 0: c(58) = 0 580 Next j58 b(c(59)) = 0: c(59) = 0 590 Next j59 b(c(60)) = 0: c(60) = 0 600 Next j60 b(c(61)) = 0: c(61) = 0 610 b(c(62)) = 0: c(62) = 0 620 Next j62 b(c(63)) = 0: c(63) = 0 630 Next j63 b(c(64)) = 0: c(64) = 0 640 Next j64 t2 = Timer t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s1) y = MsgBox(t10, 0, "Routine MgcCube4a") End ' Print results (selected numbers) 740 For i1 = 1 To 64 Cells(n9, i1).Value = a(i1) Next i1 Return ' Print results (planes 11, 12, 13 and 14) 750 n2 = n2 + 1 If n2 = 7 Then n2 = 1: k1 = k1 + 20: k2 = 1 Else If n9 > 1 Then k2 = k2 + 5 End If For i0 = 1 To 4 i3 = (4 - i0) * 16 For i1 = 1 To 4 For i2 = 1 To 4 i3 = i3 + 1 Cells(k1 + i1 + (i0 - 1) * 5, k2 + i2).Value = a(i3) Next i2 Next i1 Cells(k1 + (i0 - 1) * 5, k2 + 1).Value = "Plane 1" + CStr(i0) Next i0 Return ' Print results (3d) 760 n2 = n2 + 1 If n2 = 3 Then n2 = 1: k1 = k1 + 29: k2 = 1 Else If n9 > 1 Then k2 = k2 + 17 End If For i0 = 1 To 4 i3 = (4 - i0) * 16 For i1 = 1 To 4 For i2 = 1 To 4 i3 = i3 + 1 Cells(k1 + 1 + (i1 - 1) * 2 + (i0 - 1) * 7, k2 + 7 + (i2 - 1) * 3 - (i1 - 1) * 2).Value = a(i3) Next i2 Next i1 Next i0 Return ' Exclude solutions with identical numbers 800 fl1 = 1 For j1 = 1 To 64 a2 = a(j1) For j2 = (1 + j1) To 64 If a2 = a(j2) Then fl1 = 0: GoTo 850 Next j2 Next j1 850 Return End Sub'
' Complete format first Cube
'Sub Macro1() y = MsgBox("Locked", vbCritical, "Routine Macro1, Borders") End For i0 = 0 To 3 For i1 = 3 To 17 Step 7 For i2 = 9 To 15 Step 3 Range(Cells(i1 + i0 * 2, i2 - i0 * 2), Cells(i1 + i0 * 2 + 6, i2 - i0 * 2 + 2)).Select: GoSub 250 Next i2 Next i1 Next i0 For i0 = 0 To 3 For i1 = 3 To 8 For i2 = 0 To 3 Range(Cells(i1 + i0 * 7, 11 - i1 + i2 * 3), Cells(i1 + i0 * 7, 11 - i1 + i2 * 3)).Select: GoSub 260 Next i2 Next i1 Next i0 Range("A1").Select End ' Border 250 With Selection.Borders(xlEdgeLeft) .LineStyle = xlContinuous .Color = -11489280 .TintAndShade = 0 .Weight = xlThin End With With Selection.Borders(xlEdgeTop) .LineStyle = xlContinuous .Color = -11489280 .TintAndShade = 0 .Weight = xlThin End With With Selection.Borders(xlEdgeBottom) .LineStyle = xlContinuous .Color = -11489280 .TintAndShade = 0 .Weight = xlThin End With With Selection.Borders(xlEdgeRight) .LineStyle = xlContinuous .Color = -11489280 .TintAndShade = 0 .Weight = xlThin End With Return ' Diagonal 260 With Selection.Borders(xlDiagonalUp) .LineStyle = xlContinuous .Color = -11489280 .TintAndShade = 0 .Weight = xlThin End With Return End Sub'
' Format all Cubes
'Sub Macro2() y = MsgBox("Locked", vbCritical, "Routine Macro2, Format all Cubes") End k1 = 2: k2 = 2: n2 = 1: n9 = 4 Range(Cells(2, 2), Cells(29, 17)).Select: Selection.Copy For i1 = 2 To n9 n2 = n2 + 1 If n2 = 3 Then n2 = 1: k1 = k1 + 29: k2 = 2 Else k2 = k2 + 17 End If Range(Cells(k1, k2), Cells(k1, k2)).Select Selection.PasteSpecial Paste:=xlPasteFormats, Operation:=xlNone, SkipBlanks:=False, Transpose:=False Next i1 Application.CutCopyMode = False Range("A1").Select End Sub'
' Make Bitmaps (MSO Diagonal Format not transferable to HTML)
'Sub Macro3() y = MsgBox("Locked", vbCritical, "Routine Macro3, Make Bitmaps") End k1 = 2: k2 = 2: n2 = 0: n9 = 4 sht1$ = "Klad1" For i1 = 1 To n9 n2 = n2 + 1 If n2 = 3 Then n2 = 1: k1 = k1 + 29: k2 = 2 Else If i1 > 1 Then k2 = k2 + 17 End If Worksheets(sht1$).Range(Cells(k1, k2), Cells(k1 + 28, k2 + 16)).CopyPicture xlScreen, xlBitmap Worksheets(sht1$).Paste Destination:=Worksheets(sht1$).Range(Cells(k1, k2), Cells(k1, k2)) Next i1 Range("A1").Select End Sub
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About the Author |