' Generates Associated Sudoku Comparable Cubes of order 4 for integers 0 thru 3

' Tested with Office 2007 under Windows 7

```Sub SudCube4d()

Dim a(64), b(4)

y = MsgBox("Locked", vbCritical, "Routine SudCube4d")
End

n2 = 0: n9 = 0: k1 = 1: k2 = 1
m1 = 0: m2 = 3: s1 = 6

'   Generate data

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) = -2 * s1 + a(54) + a(55) + a(56) + a(58) + a(59) + a(60) + a(62) + a(63) + a(64)
If a(49) < m1 Or a(49) > m2 Then GoTo 540

For j48 = m1 To m2                                                   'a(48)
a(48) = j48

a(33) = 2 * s1 + a(48) - a(54) - a(55) - a(56) - a(58) - a(59) - a(60) - a(62) - a(63)
If a(33) < m1 Or a(33) > m2 Then GoTo 480

For j47 = m1 To m2                                                   'a(47)
a(47) = j47

a(34) = -s1 + a(47) + a(54) + a(58) + a(62) + a(63): If a(34) < m1 Or a(34) > m2 Then GoTo 470

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
a(36) = s1 - a(46) - a(47) - a(48) + a(56) + a(60) - a(62) - a(63): If a(36) < m1 Or a(36) > m2 Then GoTo 460
a(35) = -s1 + a(46) + a(55) + a(59) + a(62) + a(63): If a(35) < m1 Or a(35) > m2 Then GoTo 460

For j44 = m1 To m2                                                   'a(44)
a(44) = j44

a(41) = -s1 - a(44) + a(46) + a(47) + a(58) + a(59) + a(62) + a(63): If a(41) < m1 Or a(41) > m2 Then GoTo 440
a(40) = -a(44) + a(46) + a(47) - a(56) - a(60) + a(62) + a(63): If a(40) < m1 Or a(40) > m2 Then GoTo 440
a(37) = -s1 + a(44) + a(54) + a(55) + a(56) + a(60): If a(37) < m1 Or a(37) > m2 Then GoTo 440

For j43 = m1 To m2                                                   'a(43)
a(43) = j43

a(42) = 2 * s1 - a(43) - a(46) - a(47) - a(58) - a(59) - a(62) - a(63): If a(42) < m1 Or a(42) > m2 Then GoTo 430
a(39) = 2 * s1 - a(43) - a(46) - a(47) - a(55) - a(59) - a(62) - a(63): If a(39) < m1 Or a(39) > m2 Then GoTo 430
a(38) = a(43) - a(54) + a(59): If a(38) < m1 Or a(38) > m2 Then GoTo 430

a(1) = s1 / 2 - a(64):  a(2) = s1 / 2 - a(63):  a(3) = s1 / 2 - a(62):  a(4) = s1 / 2 - a(61)
a(5) = s1 / 2 - a(60):  a(6) = s1 / 2 - a(59):  a(7) = s1 / 2 - a(58):  a(8) = s1 / 2 - a(57)
a(9) = s1 / 2 - a(56):  a(10) = s1 / 2 - a(55): a(11) = s1 / 2 - a(54): a(12) = s1 / 2 - a(53)
a(13) = s1 / 2 - a(52): a(14) = s1 / 2 - a(51): a(15) = s1 / 2 - a(50): a(16) = s1 / 2 - a(49)
a(17) = s1 / 2 - a(48): a(18) = s1 / 2 - a(47): a(19) = s1 / 2 - a(46): a(20) = s1 / 2 - a(45)
a(21) = s1 / 2 - a(44): a(22) = s1 / 2 - a(43): a(23) = s1 / 2 - a(42): a(24) = s1 / 2 - a(41)
a(25) = s1 / 2 - a(40): a(26) = s1 / 2 - a(39): a(27) = s1 / 2 - a(38): a(28) = s1 / 2 - a(37)
a(29) = s1 / 2 - a(36): a(30) = s1 / 2 - a(35): a(31) = s1 / 2 - a(34): a(32) = s1 / 2 - a(33)

'       Exclude solutions with identical numbers in rows, colums or pillars

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, 4)

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
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 SudCube4d")

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

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

'   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

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
```