' Generates Ultra Magic Squares with Order 3 Concentric Square and Square Inlay (1)
' Tested with Office 2007 under Windows 7
Sub MgcSqr7j3()
Dim a(49), b(49), c(49)
y = MsgBox("Locked", vbCritical, "Routine MgcSqr7j3")
End
n2 = 0: n9 = 0: k1 = 1: k2 = 1
m1 = 1: m2 = 49: s1 = 175
' Generate data
Sheets("Klad1").Select
t1 = Timer
a(25) = 25: b(25) = 25: c(25) = 25
For j33 = m1 To m2 'a(33) = 24 Conc 3
If b(j33) = 0 Then b(j33) = j33: c(33) = j33 Else GoTo 330
a(33) = j33
Cells(k1, 1).Select: Cells(k1, 1).Value = j33
a(17) = 50 - a(33)
If b(a(17)) = 0 Then b(a(17)) = a(17): c(17) = a(17) Else GoTo 170
For j32 = m1 To m2 'a(32) = 47 Conc 3
If b(j32) = 0 Then b(j32) = j32: c(32) = j32 Else GoTo 320
a(32) = j32
a(31) = 75 - a(32) - a(33)
If a(31) <= 0 Or a(31) > 49 Then GoTo 310
If b(a(31)) = 0 Then b(a(31)) = a(31): c(31) = a(31) Else GoTo 310
a(26) = 100 - a(32) - 2 * a(33)
If a(26) <= 0 Or a(26) > 49 Then GoTo 260
If b(a(26)) = 0 Then b(a(26)) = a(26): c(26) = a(26) Else GoTo 260
a(24) = 50 - a(26)
If b(a(24)) = 0 Then b(a(24)) = a(24): c(24) = a(24) Else GoTo 240
a(19) = 50 - a(31)
If b(a(19)) = 0 Then b(a(19)) = a(19): c(19) = a(19) Else GoTo 190
a(18) = 50 - a(32)
If b(a(18)) = 0 Then b(a(18)) = a(18): c(18) = a(18) Else GoTo 180
For j41 = m1 To m2 'a(41) = 23 Sqr Inlay 3
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) = 33 Sqr Inlay 3
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 j49 = m1 To m2 'a(49) = 28 Remainder
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 j48 = m1 To m2 'a(48) = 2
If b(j48) = 0 Then b(j48) = j48: c(48) = j48 Else GoTo 480
a(48) = j48
a(46) = 175 - 2 * a(48) - a(49) - a(32) - a(33) - a(41)
If a(46) <= 0 Or a(46) > 49 Then GoTo 460
If b(a(46)) = 0 Then b(a(46)) = a(46): c(46) = a(46) Else GoTo 460
a(4) = 50 - a(46)
If b(a(4)) = 0 Then b(a(4)) = a(4): c(4) = a(4) Else GoTo 40
a(2) = 50 - a(48)
If b(a(2)) = 0 Then b(a(2)) = a(2): c(2) = a(2) Else GoTo 20
For j47 = m1 To m2 'a(47) = 16
If b(j47) = 0 Then b(j47) = j47: c(47) = j47 Else GoTo 470
a(47) = j47
a(40) = (125 - 2 * a(47) - a(39)) / 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(10) = 50 - a(40)
If b(a(10)) = 0 Then b(a(10)) = a(10): c(10) = a(10) Else GoTo 100
a(3) = 50 - a(47)
If b(a(3)) = 0 Then b(a(3)) = a(3): c(3) = a(3) Else GoTo 30
For j45 = m1 To m2 'a(45) = 32
If b(j45) = 0 Then b(j45) = j45: c(45) = j45 Else GoTo 450
a(45) = j45
a(44) = -150 + a(45) + a(47) + a(48) + a(49) + a(33) + a(39) + a(41)
If a(44) <= 0 Or a(44) > 49 Then GoTo 440
a(43) = 150 - 2 * a(45) - 2 * a(47) - a(49) + a(32) - a(39)
If a(43) <= 0 Or a(43) > 49 Then GoTo 440
a(42) = (-25 + 2 * a(45) + a(32) + 2 * a(33) - 2 * a(41)) / 2
If a(42) <= 0 Or a(42) > 49 Or CInt(a(42)) <> a(42) Then GoTo 440
a(38) = a(40) - a(45) + a(47)
If a(38) <= 0 Or a(38) > 49 Then GoTo 440
a(36) = -25 - a(42) + a(45) + a(47) + a(39)
If a(36) <= 0 Or a(36) > 49 Then GoTo 440
a(35) = 150 - a(42) - a(47) - a(48) - a(49) - a(41)
If a(35) <= 0 Or a(35) > 49 Then GoTo 440
a(34) = 75 - a(35) - a(40) - a(47) + a(41)
If a(34) <= 0 Or a(34) > 49 Then GoTo 440
a(30) = -75 - a(36) + a(38) + a(45) + a(47) + a(48) - a(33) + a(39) + a(41)
If a(30) <= 0 Or a(30) > 49 Then GoTo 440
a(29) = 100 - a(30) - a(34) - a(35)
If a(29) <= 0 Or a(29) > 49 Then GoTo 440
a(28) = 100 - 2 * a(45) - a(49) - a(33) + a(41)
If a(28) <= 0 Or a(28) > 49 Then GoTo 440
a(22) = 50 - a(28): a(21) = 50 - a(29): a(20) = 50 - a(30): a(16) = 50 - a(34):
a(15) = 50 - a(35): a(14) = 50 - a(36): a(12) = 50 - a(38): a(8) = 50 - a(42):
a(7) = 50 - a(43): a(6) = 50 - a(44): a(5) = 50 - a(45)
' Exclude solutions with identical numbers
GoSub 800: If fl1 = 0 Then GoTo 440
n9 = n9 + 1
GoSub 2650 'Print results (squares)
' GoSub 2645 'Print results (selected numbers
440 b(c(45)) = 0: c(45) = 0
450 Next j45
b(c(3)) = 0: c(3) = 0
30 b(c(10)) = 0: c(10) = 0
100 b(c(40)) = 0: c(40) = 0
400 b(c(47)) = 0: c(47) = 0
470 Next j47
b(c(2)) = 0: c(2) = 0
20 b(c(4)) = 0: c(4) = 0
40 b(c(46)) = 0: c(46) = 0
460 b(c(48)) = 0: c(48) = 0
480 Next j48
b(c(1)) = 0: c(1) = 0
10 b(c(49)) = 0: c(49) = 0
490 Next j49
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(18)) = 0: c(18) = 0
180 b(c(19)) = 0: c(19) = 0
190 b(c(24)) = 0: c(24) = 0
240 b(c(26)) = 0: c(26) = 0
260 b(c(31)) = 0: c(31) = 0
310 b(c(32)) = 0: c(32) = 0
320 Next j32
b(c(17)) = 0: c(17) = 0
170 b(c(33)) = 0: c(33) = 0
330 Next j33
t2 = Timer
t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s1)
y = MsgBox(t10, 0, "Routine MgcSqr7j3")
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
