' Generates Magic Squares of order 5 for integers 1 thru 25
' Preselected Diagonals
' Tested with Office 2007 under Windows 7
Sub MgcSqr5k1()
Dim a(25), b(25), c(25), a1(5), a2(5)
y = MsgBox("Locked", vbCritical, "Routine MgcSqr5k1")
End
n2 = 0: n9 = 0: k1 = 1: k2 = 1
m1 = 1: m2 = 25: s1 = 65
' Generate data
Sheets("Klad1").Select
t1 = Timer
For j100 = 2 To 79 'Diagonal Ltop/Rbtm
For i1 = 1 To 5
a1(i1) = Sheets("MgcLns5a").Cells(j100, i1).Value
Next i1
For j25 = a1(1) To a1(1) 'a(25)
If b(j25) = 0 Then b(j25) = j25: c(25) = j25 Else GoTo 250
a(25) = j25
For j19 = a1(2) To a1(2) 'a(19)
If b(j19) = 0 Then b(j19) = j19: c(19) = j19 Else GoTo 190
a(19) = j19
For j13 = a1(3) To a1(3) 'a(13)
If b(j13) = 0 Then b(j13) = j13: c(13) = j13 Else GoTo 130
a(13) = j13
For j7 = a1(4) To a1(4) 'a(7)
If b(j7) = 0 Then b(j7) = j7: c(7) = j7 Else GoTo 70
a(7) = j7
a(1) = 65 - a(7) - a(13) - a(19) - a(25)
If a(1) <= 0 Or a(1) > 25 Then GoTo 10
If b(a(1)) = 0 Then b(a(1)) = a(1): c(1) = a(1) Else GoTo 10
For j200 = j100 + 1 To 79 '' 'Diagonal Rtop/Lbtm
For i1 = 1 To 5
a2(i1) = Sheets("MgcLns5a").Cells(j200, i1).Value
Next i1
GoSub 900: If fl1 = 0 Then GoTo 2000
For j21 = a2(1) To a2(1) 'a(21)
If b(j21) = 0 Then b(j21) = j21: c(21) = j21 Else GoTo 210
a(21) = j21
For j17 = a2(2) To a2(2) 'a(17)
If b(j17) = 0 Then b(j17) = j17: c(17) = j17 Else GoTo 170
a(17) = j17
For j9 = a2(4) To a2(4) 'a(9)
If b(j9) = 0 Then b(j9) = j9: c(9) = j9 Else GoTo 90
a(9) = j9
a(5) = 65 - a(9) - a(13) - a(17) - a(21)
If a(5) <= 0 Or a(5) > 25 Then GoTo 50
If b(a(5)) = 0 Then b(a(5)) = a(5): c(5) = a(5) Else GoTo 50
For j10 = m1 To m2 'a(10)
If b(j10) = 0 Then b(j10) = j10: c(10) = j10 Else GoTo 100
a(10) = j10
For j8 = m1 To m2 'a(8)
If b(j8) = 0 Then b(j8) = j8: c(8) = j8 Else GoTo 80
a(8) = j8
a(6) = 65 - a(7) - a(8) - a(9) - a(10)
If a(6) <= 0 Or a(6) > 25 Then GoTo 60
If b(a(6)) = 0 Then b(a(6)) = a(6): c(6) = a(6) Else GoTo 60
For j11 = m1 To m2 'a(11)
If b(j11) = 0 Then b(j11) = j11: c(11) = j11 Else GoTo 110
a(11) = j11
a(16) = 65 - a(21) - a(11) - a(6) - a(1)
If a(16) <= 0 Or a(16) > 25 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)
If b(j15) = 0 Then b(j15) = j15: c(15) = j15 Else GoTo 150
a(15) = j15
a(20) = 65 - a(25) - a(15) - a(10) - a(5)
If a(20) <= 0 Or a(20) > 25 Then GoTo 200
If b(a(20)) = 0 Then b(a(20)) = a(20): c(20) = a(20) Else GoTo 200
a(18) = 65 - a(16) - a(17) - a(19) - a(20)
If a(18) <= 0 Or a(18) > 25 Then GoTo 180
If b(a(18)) = 0 Then b(a(18)) = a(18): c(18) = a(18) Else GoTo 180
For j14 = m1 To m2 'a(14)
If b(j14) = 0 Then b(j14) = j14: c(14) = j14 Else GoTo 140
a(14) = j14
a(12) = 65 - a(11) - a(13) - a(14) - a(15)
If a(12) <= 0 Or a(12) > 25 Then GoTo 120
If b(a(12)) = 0 Then b(a(12)) = a(12): c(12) = a(12) Else GoTo 120
For j3 = m1 To m2 'a(3)
If b(j3) = 0 Then b(j3) = j3: c(3) = j3 Else GoTo 30
a(3) = j3
a(23) = 65 - a(3) - a(8) - a(13) - a(18)
If a(23) <= 0 Or a(23) > 25 Then GoTo 230
If b(a(23)) = 0 Then b(a(23)) = a(23): c(23) = a(23) Else GoTo 230
For j2 = m1 To m2 'a(2)
If b(j2) = 0 Then b(j2) = j2: c(2) = j2 Else GoTo 20
a(2) = j2
a(22) = 65 - a(2) - a(7) - a(12) - a(17)
If a(22) <= 0 Or a(22) > 25 Then GoTo 220
If b(a(22)) = 0 Then b(a(22)) = a(22): c(22) = a(22) Else GoTo 220
a(4) = 65 - a(1) - a(2) - a(3) - a(5)
If a(4) <= 0 Or a(4) > 25 Then GoTo 40
If b(a(4)) = 0 Then b(a(4)) = a(4): c(4) = a(4) Else GoTo 40
a(24) = 65 - a(21) - a(22) - a(23) - a(25)
If a(24) <= 0 Or a(24) > 25 Then GoTo 240
If b(a(24)) = 0 Then b(a(24)) = a(24): c(24) = a(24) Else GoTo 240
' Exclude solutions with identical numbers (Back Check)
GoSub 800: If fl1 = 0 Then GoTo 5
n9 = n9 + 1: GoSub 650 'Print results (squares)
' n9 = n9 + 1: GoSub 640 'Print results (selected numbers)
Erase b, c:
b(a(25)) = a(25): c(25) = a(25)
b(a(19)) = a(19): c(19) = a(19)
b(a(13)) = a(13): c(13) = a(13)
b(a(7)) = a(7): c(7) = a(7)
b(a(1)) = a(1): c(1) = a(1)
GoTo 2000
5
b(c(24)) = 0: c(24) = 0
240 b(c(4)) = 0: c(4) = 0
40 b(c(22)) = 0: c(22) = 0
220 b(c(2)) = 0: c(2) = 0
20 Next j2
b(c(23)) = 0: c(23) = 0
230 b(c(3)) = 0: c(3) = 0
30 Next j3
b(c(12)) = 0: c(12) = 0
120 b(c(14)) = 0: c(14) = 0
140 Next j14
b(c(18)) = 0: c(18) = 0
180 b(c(20)) = 0: c(20) = 0
200 b(c(15)) = 0: c(15) = 0
150 Next j15
b(c(16)) = 0: c(16) = 0
160 b(c(11)) = 0: c(11) = 0
110 Next j11
b(c(6)) = 0: c(6) = 0
60 b(c(8)) = 0: c(8) = 0
80 Next j8
b(c(10)) = 0: c(10) = 0
100 Next j10
b(c(5)) = 0: c(5) = 0
50 b(c(9)) = 0: c(9) = 0
90 Next j9
b(c(17)) = 0: c(17) = 0
170 Next j17
b(c(21)) = 0: c(21) = 0
210 Next j21
2000 Next j200
b(c(1)) = 0: c(1) = 0
10 b(c(7)) = 0: c(7) = 0
70 Next j7
b(c(13)) = 0: c(13) = 0
130 Next j13
b(c(19)) = 0: c(19) = 0
190 Next j19
b(c(25)) = 0: c(25) = 0
250 Next j25
1000 Next j100
t2 = Timer
t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s1)
y = MsgBox(t10, 0, "Routine MgcSqr5k1")
End
' Print results (selected numbers)
640 For i1 = 1 To 25
Cells(n9, i1).Value = a(i1)
Next i1
Cells(n9, 26).Value = n9
Cells(n9, 27).Value = j100
Cells(n9, 28).Value = j200
Cells(n9, 28).Select
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
800 fl1 = 1
For j1 = 1 To 25
a20 = a(j1)
For j2 = (1 + j1) To 25
If a20 = a(j2) Then fl1 = 0: GoTo 850
Next j2
Next j1
850 Return
' Check a1() and a2()
900 fl1 = 1
If a1(3) <> a2(3) Then fl1 = 0: Return
For i1 = 1 To 5
If i1 = 3 Then GoTo 910
a20 = a1(i1)
For i2 = 1 To 5
If i2 = 3 Then GoTo 920
If a20 = a2(i2) Then fl1 = 0: Return
920 Next i2
910 Next i1
Return
End Sub
