' Generates Ultra Magic Squares with Order 3 Concentric Square and Square Inlay (2)
' Tested with Office 2007 under Windows 7
Sub MgcSqr7j4()
Dim a(49), b(49), c(49)
y = MsgBox("Locked", vbCritical, "Routine MgcSqr7j4")
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 j49 = m1 To m2 'a(49) = 26 Inlay
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) = 3 Inlay
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 j33 = m1 To m2 'a(33) = 23 Conc.
If b(j33) = 0 Then b(j33) = j33: c(33) = j33 Else GoTo 330
a(33) = 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) = 33 Conc.
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 j48 = m1 To m2 'a(48) = 13 Remainder
If b(j48) = 0 Then b(j48) = j48: c(48) = j48 Else GoTo 480
a(48) = j48
a(45) = (175 - 2 * a(48) - a(32) - 2 * a(33)) / 2
If a(45) <= 0 Or a(45) > 49 Or CInt(a(45)) <> a(45) Then GoTo 450
If b(a(45)) = 0 Then b(a(45)) = a(45): c(45) = a(45) Else GoTo 450
a(40) = (225 - 2 * a(48) - 2 * a(32) - 2 * a(33) - a(46)) / 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(5) = 50 - a(45)
If b(a(5)) = 0 Then b(a(5)) = a(5): c(5) = a(5) Else GoTo 50
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) = 41
If b(j47) = 0 Then b(j47) = j47: c(47) = j47 Else GoTo 470
a(47) = j47
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(38) = -175 + a(40) + a(45) + a(47) + 2 * a(48) + a(32) + 2 * a(33)
If a(38) <= 0 Or a(38) > 49 Then GoTo 380
If b(a(38)) = 0 Then b(a(38)) = a(38): c(38) = a(38) Else GoTo 380
a(12) = 50 - a(38)
If b(a(12)) = 0 Then b(a(12)) = a(12): c(12) = a(12) Else GoTo 120
a(6) = 50 - a(44)
If b(a(6)) = 0 Then b(a(6)) = a(6): c(6) = a(6) Else GoTo 60
a(3) = 50 - a(47)
If b(a(3)) = 0 Then b(a(3)) = a(3): c(3) = a(3) Else GoTo 30
For j42 = m1 To m2 'a(42) = 34
If b(j42) = 0 Then b(j42) = j42: c(42) = j42 Else GoTo 420
a(42) = j42
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(29) = -75 + a(42) + a(45) + a(48) + a(33)
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(21) = 50 - a(29)
If b(a(21)) = 0 Then b(a(21)) = a(21): c(21) = a(21) Else GoTo 210
a(16) = 50 - a(34)
If b(a(16)) = 0 Then b(a(16)) = a(16): c(16) = a(16) Else GoTo 160
a(8) = 50 - a(42)
If b(a(8)) = 0 Then b(a(8)) = a(8): c(8) = a(8) Else GoTo 80
For j41 = m1 To m2 'a(41) = 22
If b(j41) = 0 Then b(j41) = j41: c(41) = j41 Else GoTo 410
a(41) = j41
a(39) = 75 - a(41) - 2 * a(47) + a(32) + a(33) - a(49)
If a(39) <= 0 Or a(39) > 49 Then GoTo 390
a(37) = -175 + a(41) + 2 * a(47) + 2 * a(48) + a(46) + 2 * a(49)
If a(37) <= 0 Or a(37) > 49 Then GoTo 390
a(36) = 225 - a(41) - a(42) - a(45) - a(47) - 2 * a(48) - a(33) - a(49)
If a(36) <= 0 Or a(36) > 49 Then GoTo 390
a(35) = 150 - a(41) - a(42) - a(47) - a(48) - a(49)
If a(35) <= 0 Or a(35) > 49 Then GoTo 390
a(30) = -225 + a(40) + a(41) + a(42) + a(45) + a(47) + 3 * a(48) + a(32) + a(33)
If a(30) <= 0 Or a(30) > 49 Then GoTo 390
a(27) = -125 + a(41) + 2 * a(42) + 2 * a(47) + 2 * a(48) - a(32) - a(33) + a(49)
If a(27) <= 0 Or a(27) > 49 Then GoTo 390
a(23) = 50 - a(27): a(20) = 50 - a(30): a(15) = 50 - a(35): a(14) = 50 - a(36)
a(13) = 50 - a(37): a(11) = 50 - a(39): a(9) = 50 - a(41)
' Exclude solutions with identical numbers
GoSub 800: If fl1 = 0 Then GoTo 390
n9 = n9 + 1
GoSub 2650 'Print results (squares)
' GoSub 2645 'Print results (selected numbers
390 b(c(41)) = 0: c(41) = 0
410 Next j41
b(c(8)) = 0: c(8) = 0
80 b(c(16)) = 0: c(16) = 0
160 b(c(21)) = 0: c(21) = 0
210 b(c(29)) = 0: c(29) = 0
290 b(c(34)) = 0: c(34) = 0
340 b(c(42)) = 0: c(42) = 0
420 Next j42
b(c(3)) = 0: c(3) = 0
30 b(c(6)) = 0: c(6) = 0
60 b(c(12)) = 0: c(12) = 0
120 b(c(38)) = 0: c(38) = 0
380 b(c(44)) = 0: c(44) = 0
440 b(c(47)) = 0: c(47) = 0
470 Next j47
b(c(2)) = 0: c(2) = 0
20 b(c(5)) = 0: c(5) = 0
50 b(c(10)) = 0: c(10) = 0
100 b(c(40)) = 0: c(40) = 0
400 b(c(45)) = 0: c(45) = 0
450 b(c(48)) = 0: c(48) = 0
480 Next j48
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
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 MgcSqr7j4")
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
