' Generates Sudoku Comparable Simple Magic Cubes of order 4 for integers 0 thru 3
' Plane Symmetrical
' Tested with Office 2007 under Windows 7
Sub SudCube45()
Dim a(64), b(4)
y = MsgBox("Locked", vbCritical, "Routine SudCube45")
End
n2 = 0: n9 = 0: k1 = 1: k2 = 1
m1 = 0: m2 = 3: s1 = 6
' Generate data
Sheets("Klad1").Select
t1 = Timer
For j64 = m1 To m2 'a(64)
a(64) = j64
For j63 = m1 To m2 'a(63)
a(63) = j63
For j62 = m1 To m2 'a(62)
a(62) = j62
a(61) = s1 - a(62) - a(63) - a(64): If a(61) < m1 Or a(61) > m2 Then GoTo 620
For j60 = m1 To m2 'a(60)
a(60) = j60
For j59 = m1 To m2 'a(59)
a(59) = j59
For j58 = m1 To m2 'a(58)
a(58) = j58
a(57) = s1 - a(58) - a(59) - a(60): If a(57) < m1 Or a(57) > m2 Then GoTo 580
For j56 = m1 To m2 'a(56)
a(56) = j56
a(52) = s1 - a(56) - a(60) - a(64): If a(52) < m1 Or a(52) > m2 Then GoTo 560
For j55 = m1 To m2 'a(55)
a(55) = j55
a(51) = s1 - a(55) - a(59) - a(63): If a(51) < m1 Or a(51) > m2 Then GoTo 550
For j54 = m1 To m2 'a(54)
a(54) = j54
a(53) = s1 - a(54) - a(55) - a(56): If a(53) < m1 Or a(53) > m2 Then GoTo 540
a(50) = s1 - a(54) - a(58) - a(62): If a(50) < m1 Or a(50) > m2 Then GoTo 540
a(49) = s1 - a(50) - a(51) - a(52): If a(49) < m1 Or a(49) > m2 Then GoTo 540
For j48 = m1 To m2 'a(48)
a(48) = j48
For j47 = m1 To m2 'a(47)
a(47) = j47
For j46 = m1 To m2 'a(46)
a(46) = j46
a(45) = s1 - a(46) - a(47) - a(48): If a(45) < m1 Or a(45) > m2 Then GoTo 460
For j44 = m1 To m2 'a(44)
a(44) = j44
For j43 = m1 To m2 'a(43)
a(43) = j43
a(38) = a(43) + a(53) + a(57) - a(62) - a(63):
If a(38) < m1 Or a(38) > m2 Then GoTo 430
For j42 = m1 To m2 'a(42)
a(42) = j42
a(41) = s1 - a(42) - a(43) - a(44): If a(41) < m1 Or a(41) > m2 Then GoTo 420
a(39) = a(42) + a(56) + a(60) - a(62) - a(63):
If a(39) < m1 Or a(39) > m2 Then GoTo 420
a(35) = s1 - a(39) - a(43) - a(47): If a(35) < m1 Or a(35) > m2 Then GoTo 420
a(34) = s1 - a(38) - a(42) - a(46): If a(34) < m1 Or a(34) > m2 Then GoTo 420
For j40 = m1 To m2 'a(40)
a(40) = j40
a(37) = s1 - a(38) - a(39) - a(40): If a(37) < m1 Or a(37) > m2 Then GoTo 400
a(36) = s1 - a(40) - a(44) - a(48): If a(36) < m1 Or a(36) > m2 Then GoTo 400
a(33) = s1 - a(34) - a(35) - a(36): If a(33) < m1 Or a(33) > m2 Then GoTo 400
a(32) = s1 / 2 - a(48): a(24) = s1 / 2 - a(40): a(16) = s1 / 2 - a(64): a(8) = s1 / 2 - a(56)
a(31) = s1 / 2 - a(47): a(23) = s1 / 2 - a(39): a(15) = s1 / 2 - a(63): a(7) = s1 / 2 - a(55)
a(30) = s1 / 2 - a(46): a(22) = s1 / 2 - a(38): a(14) = s1 / 2 - a(62): a(6) = s1 / 2 - a(54)
a(29) = s1 / 2 - a(45): a(21) = s1 / 2 - a(37): a(13) = s1 / 2 - a(61): a(5) = s1 / 2 - a(53)
a(28) = s1 / 2 - a(44): a(20) = s1 / 2 - a(36): a(12) = s1 / 2 - a(60): a(4) = s1 / 2 - a(52)
a(27) = s1 / 2 - a(43): a(19) = s1 / 2 - a(35): a(11) = s1 / 2 - a(59): a(3) = s1 / 2 - a(51)
a(26) = s1 / 2 - a(42): a(18) = s1 / 2 - a(34): a(10) = s1 / 2 - a(58): a(2) = s1 / 2 - a(50)
a(25) = s1 / 2 - a(41): a(17) = s1 / 2 - a(33): a(9) = s1 / 2 - a(57): a(1) = s1 / 2 - a(49)
' Exclude solutions with identical numbers in rows, colums or pillars
GoSub 800: If fl1 = 0 Then GoTo 400 'rows, colums or pillars
n9 = n9 + 1: GoSub 740 'Print results (selected numbers)
' n9 = n9 + 1: GoSub 750 'Print results (planes 1, 2, 3, 4)
400 Next j40
420 Next j42
430 Next j43
440 Next j44
460 Next j46
470 Next j47
480 Next j48
540 Next j54
550 Next j55
560 Next j56
580 Next j58
590 Next j59
600 Next j60
620 Next j62
630 Next j63
640 Next j64
t2 = Timer
t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s1)
y = MsgBox(t10, 0, "Routine SudCube45")
End
' Print results (selected numbers)
740 For i1 = 1 To 64
Cells(n9, i1).Value = a(i1)
Next i1
Cells(n9, 64).Select
Return
' Print results (planes 11, 12, 13 and 14)
750 n2 = n2 + 1
If n2 = 9 Then
n2 = 1: k1 = k1 + 20: k2 = 1
Else
If n9 > 1 Then k2 = k2 + 5
End If
Cells(k1, k2 + 1).Select
Cells(k1, k2 + 1).Font.Color = -4165632
Cells(k1, k2 + 1).Value = CStr(n9)
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
Next i0
Return
' Exclude solutions with identical numbers in rows, colums or pillars
800 fl1 = 1
' Rows
i1 = -3
For i0 = 1 To 16
i1 = i1 + 4
b(1) = a(i1): b(2) = a(i1 + 1): b(3) = a(i1 + 2): b(4) = a(i1 + 3)
GoSub 860
If fl1 = 0 Then Return
Next i0
' Columns
i1 = 0: i2 = 0
For i0 = 1 To 16
i1 = i1 + 1
b(1) = a(i1): b(2) = a(i1 + 4): b(3) = a(i1 + 8): b(4) = a(i1 + 12)
i2 = i2 + 1: If i2 = 4 Then i2 = 0: i1 = i1 + 12
GoSub 860
If fl1 = 0 Then Return
Next i0
' Pillars
i1 = 0: i2 = 0
For i0 = 1 To 16
i1 = i0
b(1) = a(i1): b(2) = a(i1 + 16): b(3) = a(i1 + 32): b(4) = a(i1 + 48)
GoSub 860
If fl1 = 0 Then Return
Next i0
' Space Diagonals
b(1) = a(13): b(2) = a(26): b(3) = a(39): b(4) = a(52): GoSub 860: If fl1 = 0 Then Return
b(1) = a(16): b(2) = a(27): b(3) = a(38): b(4) = a(49): GoSub 860: If fl1 = 0 Then Return
b(1) = a(1): b(2) = a(22): b(3) = a(43): b(4) = a(64): GoSub 860: If fl1 = 0 Then Return
b(1) = a(4): b(2) = a(23): b(3) = a(42): b(4) = a(61): GoSub 860: If fl1 = 0 Then Return
Return
860 fl1 = 1
For j1 = 1 To 4
b2 = b(j1)
For j2 = (1 + j1) To 4
If b2 = b(j2) Then fl1 = 0: Return
Next j2
Next j1
Return
End Sub
