' Generates Ultra Magic Squares with Order 3 Square Inlays

' Tested with Office 2007 under Windows 7

```Sub MgcSqr7j5()

Dim a(49), b(49), c(49)

y = MsgBox("Locked", vbCritical, "Routine MgcSqr7j5")
End

n2 = 0: n9 = 0: k1 = 1: k2 = 1
m1 = 1: m2 = 49: s1 = 175

'   Generate data

t1 = Timer

a(25) = 25: b(25) = 25: c(25) = 25

For j49 = m1 To m2                                            'a(49) = 27    Inlay 2
If b(j49) = 0 Then b(j49) = j49: c(49) = j49 Else GoTo 490
a(49) = j49

a(1) = 50 - a(49)
If b(a(1)) = 0 Then b(a(1)) = a(1): c(1) = a(1) Else GoTo 10

For j46 = m1 To m2                                            'a(46) = 17    Inlay 2
If b(j46) = 0 Then b(j46) = j46: c(46) = j46 Else GoTo 460
a(46) = j46

a(43) = 75 - a(46) - a(49)
If a(43) <= 0 Or a(43) > 49 Then GoTo 430
If b(a(43)) = 0 Then b(a(43)) = a(43): c(43) = a(43) Else GoTo 430
a(28) = 100 - a(46) - 2 * a(49)
If a(28) <= 0 Or a(28) > 49 Then GoTo 280
If b(a(28)) = 0 Then b(a(28)) = a(28): c(28) = a(28) Else GoTo 280
a(22) = 50 - a(28)
If b(a(22)) = 0 Then b(a(22)) = a(22): c(22) = a(22) Else GoTo 220
a(7) = 50 - a(43)
If b(a(7)) = 0 Then b(a(7)) = a(7): c(7) = a(7) Else GoTo 70
a(4) = 50 - a(46)
If b(a(4)) = 0 Then b(a(4)) = a(4): c(4) = a(4) Else GoTo 40

For j41 = m1 To m2                                            'a(41) = 24    Inlay 1
If b(j41) = 0 Then b(j41) = j41: c(41) = j41 Else GoTo 410
a(41) = j41

a(9) = 50 - a(41)
If b(a(9)) = 0 Then b(a(9)) = a(9): c(9) = a(9) Else GoTo 90

For j39 = m1 To m2                                            'a(39) = 47    Inlay 1
If b(j39) = 0 Then b(j39) = j39: c(39) = j39 Else GoTo 390
a(39) = j39

a(37) = 75 - a(39) - a(41)
If a(37) <= 0 Or a(37) > 49 Then GoTo 370
If b(a(37)) = 0 Then b(a(37)) = a(37): c(37) = a(37) Else GoTo 370
a(27) = 100 - a(39) - 2 * a(41)
If a(27) <= 0 Or a(27) > 49 Then GoTo 270
If b(a(27)) = 0 Then b(a(27)) = a(27): c(27) = a(27) Else GoTo 270
a(23) = 50 - a(27)
If b(a(23)) = 0 Then b(a(23)) = a(23): c(23) = a(23) Else GoTo 230
a(13) = 50 - a(37)
If b(a(13)) = 0 Then b(a(13)) = a(13): c(13) = a(13) Else GoTo 130
a(11) = 50 - a(39)
If b(a(11)) = 0 Then b(a(11)) = a(11): c(11) = a(11) Else GoTo 110

For j48 = m1 To m2                                            'a(48) = 36
If b(j48) = 0 Then b(j48) = j48: c(48) = j48 Else GoTo 480
a(48) = j48

a(47) = (250 - 2 * a(48) - a(39) - 2 * a(41) - a(46) - 2 * a(49)) / 2
If a(47) <= 0 Or a(47) > 49 Or CInt(a(47)) <> a(47) Then GoTo 470
If b(a(47)) = 0 Then b(a(47)) = a(47): c(47) = a(47) Else GoTo 470
a(3) = 50 - a(47)
If b(a(3)) = 0 Then b(a(3)) = a(3): c(3) = a(3) Else GoTo 30
a(2) = 50 - a(48)
If b(a(2)) = 0 Then b(a(2)) = a(2): c(2) = a(2) Else GoTo 20

For j45 = m1 To m2                                            'a(45) = 38
If b(j45) = 0 Then b(j45) = j45: c(45) = j45 Else GoTo 450
a(45) = j45

a(44) = 100 - a(45) - a(47) - a(48)
If a(44) <= 0 Or a(44) > 49 Then GoTo 440
If b(a(44)) = 0 Then b(a(44)) = a(44): c(44) = a(44) Else GoTo 440
a(6) = 50 - a(44)
If b(a(6)) = 0 Then b(a(6)) = a(6): c(6) = a(6) Else GoTo 60
a(5) = 50 - a(45)
If b(a(5)) = 0 Then b(a(5)) = a(5): c(5) = a(5) Else GoTo 50

For j42 = m1 To m2                                            'a(42) = 9
If b(j42) = 0 Then b(j42) = j42: c(42) = j42 Else GoTo 420
a(42) = j42

a(40) = (25 - 2 * a(42) + a(46) + 2 * a(49)) / 2
If a(40) <= 0 Or a(40) > 49 Or CInt(a(40)) <> a(40) Then GoTo 400
If b(a(40)) = 0 Then b(a(40)) = a(40): c(40) = a(40) Else GoTo 400
a(35) = 150 - a(42) - a(47) - a(48) - a(41) - a(49)
If a(35) <= 0 Or a(35) > 49 Then GoTo 350
If b(a(35)) = 0 Then b(a(35)) = a(35): c(35) = a(35) Else GoTo 350
a(34) = 75 - a(40) - a(42) - a(48) + a(49)
If a(34) <= 0 Or a(34) > 49 Then GoTo 340
If b(a(34)) = 0 Then b(a(34)) = a(34): c(34) = a(34) Else GoTo 340
a(30) = -50 + a(40) + a(42) + a(45) + a(47) + a(48) - a(46) - a(49)
If a(30) <= 0 Or a(30) > 49 Then GoTo 300
If b(a(30)) = 0 Then b(a(30)) = a(30): c(30) = a(30) Else GoTo 300
a(20) = 50 - a(30)
If b(a(20)) = 0 Then b(a(20)) = a(20): c(20) = a(20) Else GoTo 200
a(16) = 50 - a(34)
If b(a(16)) = 0 Then b(a(16)) = a(16): c(16) = a(16) Else GoTo 160
a(15) = 50 - a(35)
If b(a(15)) = 0 Then b(a(15)) = a(15): c(15) = a(15) Else GoTo 150
a(10) = 50 - a(40)
If b(a(10)) = 0 Then b(a(10)) = a(10): c(10) = a(10) Else GoTo 100
a(8) = 50 - a(42)
If b(a(8)) = 0 Then b(a(8)) = a(8): c(8) = a(8) Else GoTo 80

For j38 = m1 To m2                                            'a(38) = 37
If b(j38) = 0 Then b(j38) = j38: c(38) = j38 Else GoTo 380
a(38) = j38

a(36) = 100 - a(38) - a(40) - a(42)
If a(36) <= 0 Or a(36) > 49 Then GoTo 360
a(33) = a(38) - a(40) - a(45) - a(47) + a(41) + a(46) + a(49)
If a(33) <= 0 Or a(33) > 49 Then GoTo 360
a(32) = 25 - a(38) + a(40) + 2 * a(42) + a(45) + a(47) - 2 * a(46) - 2 * a(49)
If a(32) <= 0 Or a(32) > 49 Then GoTo 360
a(31) = -100 - a(38) + a(40) - a(45) + a(47) + 2 * a(48) + a(41) + a(46) + a(49)
If a(31) <= 0 Or a(31) > 49 Then GoTo 360
a(29) = 75 + a(38) - a(40) - a(42) - a(47) - a(48) - a(41) + a(46) + a(49)
If a(29) <= 0 Or a(29) > 49 Then GoTo 360
a(26) = 200 - a(38) - a(40) - 2 * a(42) + a(45) - a(47) - a(39) - 2 * a(41)
If a(26) <= 0 Or a(26) > 49 Then GoTo 360

a(24) = 50 - a(26): a(21) = 50 - a(29): a(19) = 50 - a(31): a(18) = 50 - a(32)
a(17) = 50 - a(33): a(14) = 50 - a(36): a(12) = 50 - a(38)

'                          Exclude solutions with identical numbers

GoSub 800: If fl1 = 0 Then GoTo 360

n9 = n9 + 1
GoSub 2650 'Print results (squares)
'                          GoSub 2645 'Print results (selected numbers

360 b(c(38)) = 0: c(38) = 0
380 Next j38

b(c(8)) = 0: c(8) = 0
80  b(c(10)) = 0: c(10) = 0
100 b(c(15)) = 0: c(15) = 0
150 b(c(16)) = 0: c(16) = 0
160 b(c(20)) = 0: c(20) = 0
200 b(c(30)) = 0: c(30) = 0
300 b(c(34)) = 0: c(34) = 0
340 b(c(35)) = 0: c(35) = 0
350 b(c(40)) = 0: c(40) = 0
400 b(c(42)) = 0: c(42) = 0
420 Next j42

b(c(5)) = 0: c(5) = 0
50  b(c(6)) = 0: c(6) = 0
60  b(c(44)) = 0: c(44) = 0
440 b(c(45)) = 0: c(45) = 0
450 Next j45

b(c(2)) = 0: c(2) = 0
20  b(c(3)) = 0: c(3) = 0
30  b(c(47)) = 0: c(47) = 0
470 b(c(48)) = 0: c(48) = 0
480 Next j48

b(c(11)) = 0: c(11) = 0
110 b(c(13)) = 0: c(13) = 0
130 b(c(23)) = 0: c(23) = 0
230 b(c(27)) = 0: c(27) = 0
270 b(c(37)) = 0: c(37) = 0
370 b(c(39)) = 0: c(39) = 0
390 Next j39

b(c(9)) = 0: c(9) = 0
90  b(c(41)) = 0: c(41) = 0
410 Next j41

b(c(4)) = 0: c(4) = 0
40  b(c(7)) = 0: c(7) = 0
70  b(c(22)) = 0: c(22) = 0
220 b(c(28)) = 0: c(28) = 0
280 b(c(43)) = 0: c(43) = 0
430 b(c(46)) = 0: c(46) = 0
460 Next j46

b(c(1)) = 0: c(1) = 0
10  b(c(49)) = 0: c(49) = 0
490 Next j49

t2 = Timer

t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s1)
y = MsgBox(t10, 0, "Routine MgcSqr7j5")

End

'   Exclude solutions with identical numbers

800 fl1 = 1
For j1 = 1 To 49
a2 = a(j1)
For j2 = (1 + j1) To 49
If a2 = a(j2) Then fl1 = 0: Return
Next j2
Next j1
Return

'   Print results (selected numbers)

2645 For i1 = 1 To 49
Cells(n9, i1).Value = a(i1)
Next i1

Return

'   Print results (squares)

2650 n2 = n2 + 1
If n2 = 5 Then
n2 = 1: k1 = k1 + 8: k2 = 1
Else
If n9 > 1 Then k2 = k2 + 8
End If

Cells(k1, k2 + 1).Select
Cells(k1, k2 + 1).Font.Color = -4165632
Cells(k1, k2 + 1).Value = n9

i3 = 0
For i1 = 1 To 7
For i2 = 1 To 7
i3 = i3 + 1
Cells(k1 + i1, k2 + i2).Value = a(i3)
Next i2
Next i1

Return

End Sub
```