' Generates Ultra Magic Squares with Order 3 Concentric Square and Diamond Inlay
' Tested with Office 2007 under Windows 7
Sub MgcSqr7j6()
Dim a(49), b(49), c(49)
y = MsgBox("Locked", vbCritical, "Routine MgcSqr7j6")
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 j39 = m1 To m2 'a(39) = 13
If b(j39) = 0 Then b(j39) = j39: c(39) = j39 Else GoTo 390
a(39) = j39
a(11) = 50 - a(39)
If b(a(11)) = 0 Then b(a(11)) = a(11): c(11) = a(11) Else GoTo 110
For j33 = m1 To m2 'a(33) = 45
If b(j33) = 0 Then b(j33) = j33: c(33) = j33 Else GoTo 330
a(33) = j33
a(32) = -25 + 2 * a(39)
If a(32) <= 0 Or a(32) > 49 Then GoTo 320
If b(a(32)) = 0 Then b(a(32)) = a(32): c(32) = a(32) Else GoTo 320
a(31) = 100 - a(33) - 2 * a(39)
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(27) = 75 - a(33) - a(39)
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(26) = 125 - 2 * a(33) - 2 * a(39)
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(23) = 50 - a(27)
If b(a(23)) = 0 Then b(a(23)) = a(23): c(23) = a(23) Else GoTo 230
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
a(17) = 50 - a(33)
If b(a(17)) = 0 Then b(a(17)) = a(17): c(17) = a(17) Else GoTo 170
For j49 = m1 To m2 'a(49) = 19
If b(j49) = 0 Then b(j49) = j49: c(49) = j49 Else GoTo 490
a(49) = j49
Cells(k1 + 2, 1).Select: Cells(k1 + 2, 1).Value = 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) = 42
If b(j48) = 0 Then b(j48) = j48: c(48) = j48 Else GoTo 480
a(48) = j48
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) = 14
If b(j47) = 0 Then b(j47) = j47: c(47) = j47 Else GoTo 470
a(47) = j47
a(3) = 50 - a(47)
If b(a(3)) = 0 Then b(a(3)) = a(3): c(3) = a(3) Else GoTo 30
For j46 = m1 To m2 'a(46) = 3
If b(j46) = 0 Then b(j46) = j46: c(46) = j46 Else GoTo 460
a(46) = j46
a(4) = 50 - a(46)
If b(a(4)) = 0 Then b(a(4)) = a(4): c(4) = a(4) Else GoTo 40
For j45 = m1 To m2 'a(45) = 22
If b(j45) = 0 Then b(j45) = j45: c(45) = j45 Else GoTo 450
a(45) = j45
a(42) = (-75 + 2 * a(45) + a(33) + 2 * a(39)) / 2
If a(42) <= 0 Or a(42) > 49 Or CInt(a(42)) <> a(42) Then GoTo 420
If b(a(42)) = 0 Then b(a(42)) = a(42): c(42) = a(42) Else GoTo 420
a(36) = -25 - a(42) + a(45) + a(47) + a(39)
If a(36) <= 0 Or a(36) > 49 Then GoTo 360
If b(a(36)) = 0 Then b(a(36)) = a(36): c(36) = a(36) Else GoTo 360
a(29) = 50 - a(42) + a(45) - a(48)
If a(29) <= 0 Or a(29) > 49 Then GoTo 290
If b(a(29)) = 0 Then b(a(29)) = a(29): c(29) = a(29) Else GoTo 290
a(28) = 300 - 2 * a(45) - a(46) - 2 * a(48) - 2 * a(49) - 2 * a(33) - 2 * a(39)
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(21) = 50 - a(29)
If b(a(21)) = 0 Then b(a(21)) = a(21): c(21) = a(21) Else GoTo 210
a(14) = 50 - a(36)
If b(a(14)) = 0 Then b(a(14)) = a(14): c(14) = a(14) Else GoTo 140
a(8) = 50 - a(42)
If b(a(8)) = 0 Then b(a(8)) = a(8): c(8) = a(8) Else GoTo 80
a(5) = 50 - a(45)
If b(a(5)) = 0 Then b(a(5)) = a(5): c(5) = a(5) Else GoTo 50
For j44 = m1 To m2 'a(44) = 48
If b(j44) = 0 Then b(j44) = j44: c(44) = j44 Else GoTo 440
a(44) = j44
a(43) = 175 - a(44) - a(45) - a(46) - a(47) - a(48) - a(49)
If a(43) <= 0 Or a(43) > 49 Then GoTo 430
a(41) = 150 + a(44) - a(45) - a(47) - a(48) - a(49) - a(33) - a(39)
If a(41) <= 0 Or a(41) > 49 Then GoTo 430
a(40) = (175 - a(44) + a(45) - a(46) - a(47) - a(48) - 2 * a(39)) / 2
If a(40) <= 0 Or a(40) > 49 Or CInt(a(40)) <> a(40) Then GoTo 430
a(38) = a(40) - a(45) + a(47)
If a(38) <= 0 Or a(38) > 49 Then GoTo 430
a(37) = -125 + a(46) + 2 * a(48) + a(49) + a(33) + a(39)
If a(37) <= 0 Or a(37) > 49 Then GoTo 430
a(35) = 75 + a(42) - a(44) - a(45) - a(39)
If a(35) <= 0 Or a(35) > 49 Then GoTo 430
a(34) = -50 - a(40) + a(42) + a(48) + a(49) + a(33)
If a(34) <= 0 Or a(34) > 49 Then GoTo 430
a(30) = 200 - a(40) - a(42) + a(45) - a(46) - a(47) - a(48) - a(49) - a(33) - a(39)
If a(30) <= 0 Or a(30) > 49 Then GoTo 430
a(6) = 50 - a(44): a(7) = 50 - a(43): a(9) = 50 - a(41): a(10) = 50 - a(40)
a(12) = 50 - a(38): a(13) = 50 - a(37): a(15) = 50 - a(35): a(16) = 50 - a(34)
a(20) = 50 - a(30)
' Exclude solutions with identical numbers
GoSub 800: If fl1 = 0 Then GoTo 430
n9 = n9 + 1
GoSub 2650 'Print results (squares)
' GoSub 2645 'Print results (selected numbers
430 b(c(44)) = 0: c(44) = 0
440 Next j44
b(c(5)) = 0: c(5) = 0
50 b(c(8)) = 0: c(8) = 0
80 b(c(14)) = 0: c(14) = 0
140 b(c(21)) = 0: c(21) = 0
210 b(c(22)) = 0: c(22) = 0
220 b(c(28)) = 0: c(28) = 0
280 b(c(29)) = 0: c(29) = 0
290 b(c(36)) = 0: c(36) = 0
360 b(c(42)) = 0: c(42) = 0
420 b(c(45)) = 0: c(45) = 0
450 Next j45
b(c(4)) = 0: c(4) = 0
40 b(c(46)) = 0: c(46) = 0
460 Next j46
b(c(3)) = 0: c(3) = 0
30 b(c(47)) = 0: c(47) = 0
470 Next j47
b(c(2)) = 0: c(2) = 0
20 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(17)) = 0: c(17) = 0
170 b(c(18)) = 0: c(18) = 0
180 b(c(19)) = 0: c(19) = 0
190 b(c(23)) = 0: c(23) = 0
230 b(c(24)) = 0: c(24) = 0
240 b(c(26)) = 0: c(26) = 0
260 b(c(27)) = 0: c(27) = 0
270 b(c(31)) = 0: c(31) = 0
310 b(c(32)) = 0: c(31) = 0
320 b(c(33)) = 0: c(33) = 0
330 Next j33
b(c(11)) = 0: c(11) = 0
110 b(c(39)) = 0: c(39) = 0
390 Next j39
t2 = Timer
t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s1)
y = MsgBox(t10, 0, "Routine MgcSqr7j6")
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
