' Generates Sudoku Comparable Cubes of order 4 for integers 0 thru 3
' Tested with Office 2007 under Windows 7
Sub SudCube4()
Dim a(64), b(4)
y = MsgBox("Locked", vbCritical, "Routine SudCube4")
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) < 0 Or a(61) > 3 Then GoTo 620 'a(61)
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) < 0 Or a(57) > 3 Then GoTo 580 'a(57)
For j56 = m1 To m2 'a(56)
a(56) = j56
a(55) = -s1 + a(56) - a(58) + a(60) + a(62) + a(63) + 2 * a(64)
If a(55) < 0 Or a(55) > 3 Then GoTo 560 'a(55)
a(54) = s1 - a(55) - a(58) - a(59)
If a(54) < 0 Or a(54) > 3 Then GoTo 560 'a(54)
a(53) = -a(56) + a(58) + a(59)
If a(53) < 0 Or a(53) > 3 Then GoTo 560 'a(53)
a(52) = s1 - a(56) - a(60) - a(64)
If a(52) < 0 Or a(52) > 3 Then GoTo 560 'a(52)
a(51) = s1 - a(55) - a(59) - a(63)
If a(51) < 0 Or a(51) > 3 Then GoTo 560 'a(51)
a(50) = a(55) + a(59) - a(62)
If a(50) < 0 Or a(50) > 3 Then GoTo 560 'a(50)
a(49) = a(55) + a(58) - a(64)
If a(49) < 0 Or a(49) > 3 Then GoTo 560 'a(49)
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) < 0 Or a(45) > 3 Then GoTo 460 'a(45)
For j44 = m1 To m2 'a(44)
a(44) = j44
a(43) = s1 - a(44) - a(46) - a(48) - a(58) - a(60) + a(63) + a(64): If a(43) < 0 Or a(43) > 3 Then GoTo 440
a(42) = s1 - a(43) - a(62) - a(63): If a(42) < 0 Or a(42) > 3 Then GoTo 440
a(41) = -a(44) + a(62) + a(63): If a(41) < 0 Or a(41) > 3 Then GoTo 440
a(40) = s1 + a(42) - a(47) - a(48) - a(56) + a(58) - a(63) - a(64): If a(40) < 0 Or a(40) > 3 Then GoTo 440
a(39) = s1 - a(43) - a(56) - a(60): If a(39) < 0 Or a(39) > 3 Then GoTo 440
a(38) = -a(42) + a(56) + a(60): If a(38) < 0 Or a(38) > 3 Then GoTo 440
a(37) = s1 - a(40) - a(62) - a(63): If a(37) < 0 Or a(37) > 3 Then GoTo 440
a(36) = s1 - a(40) - a(44) - a(48): If a(36) < 0 Or a(36) > 3 Then GoTo 440
a(35) = -a(47) + a(56) + a(60): If a(35) < 0 Or a(35) > 3 Then GoTo 440
a(34) = s1 - a(46) - a(56) - a(60): If a(34) < 0 Or a(34) > 3 Then GoTo 440
a(33) = -a(36) + a(46) + a(47): If a(33) < 0 Or a(33) > 3 Then GoTo 440
a(32) = 1.5 * s1 + 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) > 3 Then GoTo 440
If Int(a(32)) <> a(32) Then GoTo 440
a(31) = -s1 + a(32) - a(46) + a(48) + a(62) + a(63) + 2 * a(64): If a(31) < 0 Or a(31) > 3 Then GoTo 440
a(30) = s1 - a(31) - a(46) - a(47): If a(30) < 0 Or a(30) > 3 Then GoTo 440
a(29) = -a(32) + a(46) + a(47): If a(29) < 0 Or a(29) > 3 Then GoTo 440
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) > 3 Then GoTo 440
a(27) = -a(32) + a(44) + a(46) + a(58) + a(60) - a(63) - a(64): If a(27) < 0 Or a(27) > 3 Then GoTo 440
a(26) = -a(27) + a(62) + a(63): If a(26) < 0 Or a(26) > 3 Then GoTo 440
a(25) = -a(27) - a(46) - a(48) + a(59) + a(60) + a(63) + a(64): If a(25) < 0 Or a(25) > 3 Then GoTo 440
a(24) = 2 * s1 - a(32) - a(44) - a(48) - a(56) - a(60) - 2 * a(64): If a(24) < 0 Or a(24) > 3 Then GoTo 440
a(23) = -a(27) + a(56) + a(60): If a(23) < 0 Or a(23) > 3 Then GoTo 440
a(22) = s1 - a(23) - a(62) - a(63): If a(22) < 0 Or a(22) > 3 Then GoTo 440
a(21) = -a(24) + a(62) + a(63): If a(21) < 0 Or a(21) > 3 Then GoTo 440
a(20) = s1 - 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) > 3 Then GoTo 440
a(19) = -a(21) + a(44) + a(46): If a(19) < 0 Or a(19) > 3 Then GoTo 440
a(18) = a(21) - a(44) + a(47): If a(18) < 0 Or a(18) > 3 Then GoTo 440
a(17) = s1 - a(20) - a(46) - a(47): If a(17) < 0 Or a(17) > 3 Then GoTo 440
a(16) = -s1 - a(18) + a(47) + a(56) + a(60) + a(62) + a(63) + a(64): If a(16) < 0 Or a(16) > 3 Then GoTo 440
a(15) = a(19) - a(47) + a(56) + a(60) - a(63): If a(15) < 0 Or a(15) > 3 Then GoTo 440
a(14) = s1 - a(15) - a(62) - a(63): If a(14) < 0 Or a(14) > 3 Then GoTo 440
a(13) = -a(16) + a(62) + a(63): If a(13) < 0 Or a(13) > 3 Then GoTo 440
a(12) = 2 * s1 + a(20) - 2 * a(44) - a(48) - a(56) - 2 * a(60) - 2 * a(64): If a(12) < 0 Or a(12) > 3 Then GoTo 440
a(11) = s1 + a(13) - a(59) - a(62) - a(63) - a(64): If a(11) < 0 Or a(11) > 3 Then GoTo 440
a(10) = s1 - a(11) - a(58) - a(59): If a(10) < 0 Or a(10) > 3 Then GoTo 440
a(9) = -a(17) + a(48) + a(56): If a(9) < 0 Or a(9) > 3 Then GoTo 440
a(8) = s1 - a(12) - a(56) - a(60): If a(8) < 0 Or a(8) > 3 Then GoTo 440
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) > 3 Then GoTo 440
a(6) = -2 * s1 + a(11) + a(56) + 2 * a(59) + a(60) + a(62) + a(63) + 2 * a(64): If a(6) < 0 Or a(6) > 3 Then GoTo 440
a(5) = 3 * s1 - 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) > 3 Then GoTo 440
a(4) = s1 + a(6) - a(59) - a(62) - a(63) - a(64): If a(4) < 0 Or a(4) > 3 Then GoTo 440
a(3) = -a(5) + a(60) + a(62): If a(3) < 0 Or a(3) > 3 Then GoTo 440
a(2) = -a(3) + a(62) + a(63): If a(2) < 0 Or a(2) > 3 Then GoTo 440
a(1) = s1 - a(4) - a(62) - a(63): If a(1) < 0 Or a(1) > 3 Then GoTo 440
' Exclude solutions with identical numbers in rows, colums or pillars
GoSub 800: If fl1 = 0 Then GoTo 440
n9 = n9 + 1: GoSub 740 'Print results (selected numbers)
' n9 = n9 + 1: GoSub 750 'Print results (planes 1, 2, 3, 4)
' n9 = n9 + 1: GoSub 760 'Print results (3d)
440 Next j44
460 Next j46
Next j47
Next j48
560 Next j56
580 Next j58
Next j59
Next j60
620 Next j62
Next j63
Next j64
t2 = Timer
t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s1)
y = MsgBox(t10, 0, "Routine SudCube4")
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 = 9 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 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(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
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
850 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
