' Generates Magic Corner Squares of order 5 for integers as defined in area a1()
' Tested with Office 2007 under Windows 7
Sub MgcSqr5g()
Dim a1(25), a(25), b1(169), b(169), c(25)
y = MsgBox("Locked", vbCritical, "Routine MgcSqr5g")
End
n2 = 0: n9 = 0: k1 = 1: k2 = 1
m1 = 1: m2 = 25: s1 = 425
' Define variables
a1(1) = 1: a1(2) = 2: a1(3) = 3: a1(4) = 4: a1(5) = 5:
a1(6) = 6: a1(7) = 7: a1(8) = 8: a1(9) = 9: a1(10) = 10:
a1(11) = 83: a1(12) = 84: a1(13) = 85: a1(14) = 86: a1(15) = 87:
a1(16) = 160: a1(17) = 161: a1(18) = 162: a1(19) = 163: a1(20) = 164:
a1(21) = 165: a1(22) = 166: a1(23) = 167: a1(24) = 168: a1(25) = 169:
For i1 = 1 To 25
b1(a1(i1)) = a1(i1)
Next i1
' Generate Squares
Sheets("Klad1").Select
t1 = Timer
a(5) = 85: b(a1(13)) = a1(13)
'Tested with:
For j25 = m1 To m2 'a(25) = 4
If b(a1(j25)) = 0 Then b(a1(j25)) = a1(j25): c(25) = a1(j25) Else GoTo 250
a(25) = a1(j25)
For j24 = m1 To m2 'a(24) = 160
If b(a1(j24)) = 0 Then b(a1(j24)) = a1(j24): c(24) = a1(j24) Else GoTo 240
a(24) = a1(j24)
For j23 = m1 To m2 'a(23) = 9
If b(a1(j23)) = 0 Then b(a1(j23)) = a1(j23): c(23) = a1(j23) Else GoTo 230
a(23) = a1(j23)
For j22 = m1 To m2 'a(22) = 165
If b(a1(j22)) = 0 Then b(a1(j22)) = a1(j22): c(22) = a1(j22) Else GoTo 220
a(22) = a1(j22)
a(21) = 425 - a(22) - a(23) - a(24) - a(25)
If a(21) < a1(m1) Or a(21) > a1(m2) Then GoTo 210
If b1(a(21)) = 0 Then GoTo 210
If b(a(21)) = 0 Then b(a(21)) = a(21): c(21) = a(21) Else GoTo 210
a(20) = 170 - a(25)
If a(20) < a1(m1) Or a(20) > a1(m2) Then GoTo 200
If b1(a(20)) = 0 Then GoTo 200
If b(a(20)) = 0 Then b(a(20)) = a(20): c(20) = a(20) Else GoTo 200
a(19) = 170 - a(24)
If a(19) < a1(m1) Or a(19) > a1(m2) Then GoTo 190
If b1(a(19)) = 0 Then GoTo 190
If b(a(19)) = 0 Then b(a(19)) = a(19): c(19) = a(19) Else GoTo 190
a(18) = 170 - a(23)
If a(18) < a1(m1) Or a(18) > a1(m2) Then GoTo 180
If b1(a(18)) = 0 Then GoTo 180
If b(a(18)) = 0 Then b(a(18)) = a(18): c(18) = a(18) Else GoTo 180
a(17) = 170 - a(21)
If a(17) < a1(m1) Or a(17) > a1(m2) Then GoTo 170
If b1(a(17)) = 0 Then GoTo 170
If b(a(17)) = 0 Then b(a(17)) = a(17): c(17) = a(17) Else GoTo 170
a(16) = 170 - a(22)
If a(16) < a1(m1) Or a(16) > a1(m2) Then GoTo 160
If b1(a(16)) = 0 Then GoTo 160
If b(a(16)) = 0 Then b(a(16)) = a(16): c(16) = a(16) Else GoTo 160
For j15 = m1 To m2 'a(15) = 169
If b(a1(j15)) = 0 Then b(a1(j15)) = a1(j15): c(15) = a1(j15) Else GoTo 150
a(15) = a1(j15)
For j14 = m1 To m2 'a(14) = 2
If b(a1(j14)) = 0 Then b(a1(j14)) = a1(j14): c(14) = a1(j14) Else GoTo 140
a(14) = a1(j14)
a(13) = 255 - a(14) - a(15)
If a(13) < a1(m1) Or a(13) > a1(m2) Then GoTo 130
If b1(a(13)) = 0 Then GoTo 130
If b(a(13)) = 0 Then b(a(13)) = a(13): c(13) = a(13) Else GoTo 130
For j12 = m1 To m2 'a(12) = 8
If b(a1(j12)) = 0 Then b(a1(j12)) = a1(j12): c(12) = a1(j12) Else GoTo 120
a(12) = a1(j12)
a(11) = 170 - a(12)
If a(11) < a1(m1) Or a(11) > a1(m2) Then GoTo 110:
If b1(a(11)) = 0 Then GoTo 110
a(10) = 170 - a(15)
If a(10) < a1(m1) Or a(10) > a1(m2) Then GoTo 110:
If b1(a(10)) = 0 Then GoTo 110
a(9) = 170 - a(13)
If a(9) < a1(m1) Or a(9) > a1(m2) Then GoTo 110:
If b1(a(9)) = 0 Then GoTo 110
a(8) = 170 - a(14)
If a(9) < a1(m1) Or a(9) > a1(m2) Then GoTo 110:
If b1(a(9)) = 0 Then GoTo 110
a(7) = (340 - a(12) - a(13) + a(21) - a(22) + a(24) - a(25)) / 2
If CInt(a(7)) <> a(7) Then GoTo 110
If a(7) < a1(m1) Or a(7) > a1(m2) Then GoTo 110:
If b1(a(7)) = 0 Then GoTo 110
a(6) = 170 - a(7)
If a(6) < a1(m1) Or a(6) > a1(m2) Then GoTo 110:
If b1(a(6)) = 0 Then GoTo 110
a(4) = 340 - 2 * a(14) - a(15)
If a(4) < a1(m1) Or a(4) > a1(m2) Then GoTo 110:
If b1(a(4)) = 0 Then GoTo 110
a(3) = 170 - a(4)
If a(3) < a1(m1) Or a(3) > a1(m2) Then GoTo 110:
If b1(a(3)) = 0 Then GoTo 110
a(2) = 340 - a(6) - a(14) - a(15) - a(24) + a(25)
If a(2) < a1(m1) Or a(2) > a1(m2) Then GoTo 110:
If b1(a(2)) = 0 Then GoTo 110
a(1) = 170 - a(2)
If a(1) < a1(m1) Or a(1) > a1(m2) Then GoTo 110:
If b1(a(1)) = 0 Then GoTo 110
' Exclude solutions with identical numbers
GoSub 800: If fl1 = 0 Then GoTo 110
n9 = n9 + 1
GoSub 650 'Print results (squares)
' GoSub 640 'Print results (selected numbers)
110 b(c(12)) = 0: c(12) = 0
120 Next j12
b(c(13)) = 0: c(13) = 0
130 b(c(14)) = 0: c(14) = 0
140 Next j14
b(c(15)) = 0: c(15) = 0
150 Next j15
b(c(16)) = 0: c(16) = 0
160 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(20)) = 0: c(20) = 0
200 b(c(21)) = 0: c(21) = 0
210 b(c(22)) = 0: c(22) = 0
220 Next j22
b(c(23)) = 0: c(23) = 0
230 Next j23
b(c(24)) = 0: c(24) = 0
240 Next j24
b(c(25)) = 0: c(25) = 0
250 Next j25
t2 = Timer
t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s1)
y = MsgBox(t10, 0, "Routine MgcSqr5g")
End
' Print results (selected numbers)
640 Cells(n9, 25).Select
For i1 = 1 To 25
Cells(n9, i1).Value = a(i1)
Next i1
Return
' Print results (squares)
650 n2 = n2 + 1
If n2 = 5 Then
n2 = 1: k1 = k1 + 6: k2 = 1
Else
If n9 > 1 Then k2 = k2 + 6
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 5
For i2 = 1 To 5
i3 = i3 + 1
Cells(k1 + i1, k2 + i2).Value = a(i3)
Next i2
Next i1
Return
' Exclude solutions with identical numbers or out of range
800 fl1 = 1
For j1 = 1 To 25
a2 = a(j1)
For j2 = (1 + j1) To 25
If a2 = a(j2) Then fl1 = 0: Return
Next j2
Next j1
850 Return
End Sub
