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' Generates Quaternary Squares of order 8 for integers 0 ... 3
' Pan Magic, Complete,
' Sudoku Comparable Non Overlapping Subsquares

' Tested with Office 2007 under Windows 7

Sub Quat869()

    Dim a(64), b(4), b1(8)
    
y = MsgBox("Locked", vbCritical, "Routine Quat869")
End
    
    n2 = 0: n9 = 0: k1 = 1: k2 = 1
    m1 = 0: m2 = 3: s1 = 12

    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 / 2 - 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 / 2 - 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(55) = s1 / 2 - a(56) - a(63) - a(64)
    If a(55) < m1 Or a(55) > m2 Then GoTo 560
    
     b(1) = a(55): b(2) = a(56): b(3) = a(63): b(4) = a(64): GoSub 1860: If fl1 = 0 Then GoTo 560
    
For j54 = m1 To m2                                            'a(54)
    a(54) = j54

    a(53) = -a(54) + a(63) + a(64)
    If a(53) < m1 Or a(53) > m2 Then GoTo 540

     b(1) = a(53): b(2) = a(54): b(3) = a(61): b(4) = a(62): GoSub 1860: If fl1 = 0 Then GoTo 540

For j52 = m1 To m2                                            'a(52)
    a(52) = j52

    a(51) = s1 / 2 - a(52) - a(59) - a(60)
    If a(51) < m1 Or a(51) > m2 Then GoTo 520

    b(1) = a(51): b(2) = a(52): b(3) = a(59): b(4) = a(60): GoSub 1860: If fl1 = 0 Then GoTo 520

For j50 = m1 To m2                                            'a(50)
    a(50) = j50

    a(49) = -a(50) + a(59) + a(60)
    If a(49) < m1 Or a(49) > m2 Then GoTo 500

    b(1) = a(49): b(2) = a(50): b(3) = a(57): b(4) = a(58): GoSub 1860: If fl1 = 0 Then GoTo 500

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 / 2 - 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

For j42 = m1 To m2                                            'a(42)
    a(42) = j42

    a(41) = s1 / 2 - a(42) - a(43) - a(44)
    If a(41) < m1 Or a(41) > m2 Then GoTo 420
    
    a(40) = s1 / 2 - a(48) - a(56) - a(64)
    If a(40) < m1 Or a(40) > m2 Then GoTo 420
    a(39) = -a(47) + a(56) + a(64)
    If a(39) < m1 Or a(39) > m2 Then GoTo 420
    
    b(1) = a(39): b(2) = a(40): b(3) = a(47): b(4) = a(48): GoSub 1860: If fl1 = 0 Then GoTo 420

    a(38) = s1 / 2 - a(46) - a(54) - a(62)
    If a(38) < m1 Or a(38) > m2 Then GoTo 420
    a(37) = -s1 / 2 + a(46) + a(47) + a(48) + a(54) + a(62)
    If a(37) < m1 Or a(37) > m2 Then GoTo 420
    
    b(1) = a(37): b(2) = a(38): b(3) = a(45): b(4) = a(46): GoSub 1860: If fl1 = 0 Then GoTo 420
    
    a(36) = s1 / 2 - a(44) - a(52) - a(60)
    If a(36) < m1 Or a(36) > m2 Then GoTo 420
    a(35) = -a(43) + a(52) + a(60)
    If a(35) < m1 Or a(35) > m2 Then GoTo 420
    
    b(1) = a(35): b(2) = a(36): b(3) = a(43): b(4) = a(44): GoSub 1860: If fl1 = 0 Then GoTo 420
    
    a(34) = s1 / 2 - a(42) - a(50) - a(58)
    If a(34) < m1 Or a(34) > m2 Then GoTo 420
    a(33) = -s1 / 2 + a(42) + a(43) + a(44) + a(50) + a(58)
    If a(33) < m1 Or a(33) > m2 Then GoTo 420

    b(1) = a(33): b(2) = a(34): b(3) = a(41): b(4) = a(42): GoSub 1860: If fl1 = 0 Then GoTo 420

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


'                  Ensure that 0, 1, 2, 3 occurs only one time in Non Overlapping Subsquares
                   GoSub 1830: If fl1 = 0 Then GoTo 420
                           
                   n9 = n9 + 1
                   GoSub 2650      'Print results (squares)
'                  GoSub 2645      'Print results (selected numbers)

420 Next j42
430 Next j43
440 Next j44

460 Next j46
470 Next j47
480 Next j48

500 Next j50

520 Next j52

540 Next j54

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 Quat869")

End

'    Ensure that 0, 1, 2, 3 occurs only one time in Non Overlapping Subsquares

1830 fl1 = 1: Erase b

     b(1) = a(1):  b(2) = a(2):  b(3) = a(9):  b(4) = a(10): GoSub 1860: If fl1 = 0 Then Return
     b(1) = a(3):  b(2) = a(4):  b(3) = a(11): b(4) = a(12): GoSub 1860: If fl1 = 0 Then Return
     b(1) = a(5):  b(2) = a(6):  b(3) = a(13): b(4) = a(14): GoSub 1860: If fl1 = 0 Then Return
     b(1) = a(7):  b(2) = a(8):  b(3) = a(15): b(4) = a(16): GoSub 1860: If fl1 = 0 Then Return
    
     b(1) = a(17): b(2) = a(18): b(3) = a(25): b(4) = a(26): GoSub 1860: If fl1 = 0 Then Return
     b(1) = a(19): b(2) = a(20): b(3) = a(27): b(4) = a(28): GoSub 1860: If fl1 = 0 Then Return
     b(1) = a(21): b(2) = a(22): b(3) = a(29): b(4) = a(30): GoSub 1860: If fl1 = 0 Then Return
     b(1) = a(23): b(2) = a(24): b(3) = a(31): b(4) = a(32): GoSub 1860: If fl1 = 0 Then Return
    
     b(1) = a(33): b(2) = a(34): b(3) = a(41): b(4) = a(42): GoSub 1860: If fl1 = 0 Then Return
     b(1) = a(35): b(2) = a(36): b(3) = a(43): b(4) = a(44): GoSub 1860: If fl1 = 0 Then Return
     b(1) = a(37): b(2) = a(38): b(3) = a(45): b(4) = a(46): GoSub 1860: If fl1 = 0 Then Return
     b(1) = a(39): b(2) = a(40): b(3) = a(47): b(4) = a(48): GoSub 1860: If fl1 = 0 Then Return
    
     b(1) = a(49): b(2) = a(50): b(3) = a(57): b(4) = a(58): GoSub 1860: If fl1 = 0 Then Return
     b(1) = a(51): b(2) = a(52): b(3) = a(59): b(4) = a(60): GoSub 1860: If fl1 = 0 Then Return
     b(1) = a(53): b(2) = a(54): b(3) = a(61): b(4) = a(62): GoSub 1860: If fl1 = 0 Then Return
     b(1) = a(55): b(2) = a(56): b(3) = a(63): b(4) = a(64): GoSub 1860: If fl1 = 0 Then Return

     Return

 '    Check identical numbers
    
1860 fl1 = 1
     For j10 = 1 To 4
        b20 = b(j10)
        For j20 = (1 + j10) To 4
            If b20 = b(j20) Then fl1 = 0: Return
        Next j20
     Next j10
     Return

'   Print results (selected numbers)

2645 For i1 = 1 To 64
         Cells(n9, i1).Value = a(i1)
     Next i1
     Cells(n9, 64).Select
     Return

'   Print results (squares)

2650 n2 = n2 + 1
     If n2 = 5 Then
         n2 = 1: k1 = k1 + 9: k2 = 1
     Else
         If n9 > 1 Then k2 = k2 + 9
     End If
     
     Cells(k1, k2 + 1).Select
     Cells(k1, k2 + 1).Font.Color = -4165632
     Cells(k1, k2 + 1).Value = CStr(n9)
    
     i3 = 0
     For i1 = 1 To 8
         For i2 = 1 To 8
             i3 = i3 + 1
             Cells(k1 + i1, k2 + i2).Value = a(i3)
         Next i2
     Next i1
    
     Return

End Sub

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