' Generates Eccentric Magic Squares of order 5
' Tested with Office 2007 under Windows 7
Sub MgcSqr5e()
Dim a(25), b(25), c(25)
y = MsgBox("Locked", vbCritical, "Routine MgcSqr5e")
End
n2 = 0: n3 = 0: n9 = 0
m1 = 1: m2 = 25: s1 = 65
' Generate data
Sheets("Klad1").Select
t1 = Timer
a(19) = 13: b(13) = 13: c(13) = 13
For j25 = m1 To m2 'a(25)
If b(j25) = 0 Then b(j25) = j25: c(25) = j25 Else GoTo 250
a(25) = j25
For j24 = m1 To m2 'a(24)
If b(j24) = 0 Then b(j24) = j24: c(24) = j24 Else GoTo 240
a(24) = j24
a(23) = 39 - a(24) - a(25): If a(23) <= 0 Or a(23) > 25 Then GoTo 230
For j22 = m1 To m2 'a(22)
If b(j22) = 0 Then b(j22) = j22: c(22) = j22 Else GoTo 220
a(22) = j22
a(21) = 26 - a(22): If a(21) <= 0 Or a(21) > 25 Then GoTo 210
a(20) = 52 - a(24) - 2 * a(25): If a(20) <= 0 Or a(20) > 25 Then GoTo 200
a(18) = -26 + a(24) + 2 * a(25): If a(18) <= 0 Or a(18) > 25 Then GoTo 180
For j17 = m1 To m2 'a(17)
If b(j17) = 0 Then b(j17) = j17: c(17) = j17 Else GoTo 170
a(17) = j17
a(16) = 26 - a(17): If a(16) <= 0 Or a(16) > 25 Then GoTo 160
a(15) = -13 + a(24) + a(25): If a(15) <= 0 Or a(15) > 25 Then GoTo 150
a(14) = 26 - a(24): If a(14) <= 0 Or a(14) > 25 Then GoTo 140
a(13) = 26 - a(25): If a(13) <= 0 Or a(13) > 25 Then GoTo 130
For j12 = m1 To m2 'a(12)
If b(j12) = 0 Then b(j12) = j12: c(12) = j12 Else GoTo 120
a(12) = j12
a(11) = 26 - a(12): If a(11) <= 0 Or a(11) > 25 Then GoTo 110
For j10 = m1 To m2 'a(10)
If b(j10) = 0 Then b(j10) = j10: c(10) = j10 Else GoTo 100
a(10) = j10
a(9) = 39 + a(10) - a(13) - a(17) - a(21)
If a(9) <= 0 Or a(9) > 25 Then GoTo 90
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(7) = 26 - 0.5 * a(8) - 0.5 * a(9) - 0.5 * a(10) - 0.5 * a(12) + 0.5 * a(16) + 0.5 * a(21)
If a(7) <= 0 Or a(7) > 25 Or Int(a(7)) <> a(7) Then GoTo 70
a(6) = 65 - a(7) - a(8) - a(9) - a(10): If a(6) <= 0 Or a(6) > 25 Then GoTo 70
a(5) = 26 - a(10): If a(5) <= 0 Or a(5) > 25 Then GoTo 70
a(4) = 26 - a(9): If a(4) <= 0 Or a(4) > 25 Then GoTo 70
a(3) = 26 - a(8): If a(3) <= 0 Or a(3) > 25 Then GoTo 70
a(2) = 26 - a(6): If a(2) <= 0 Or a(2) > 25 Then GoTo 70
a(1) = 26 - a(7): If a(1) <= 0 Or a(1) > 25 Then GoTo 70
' Exclude solutions with identical numbers
GoSub 800: If fl1 = 0 Then GoTo 70
n9 = n9 + 1
GoSub 650 'Print results (squares)
' GoSub 640 'Print results (selected numbers)
70 b(c(8)) = 0: c(8) = 0
80 Next j8
b(c(9)) = 0: c(9) = 0
90 b(c(10)) = 0: c(10) = 0
100 Next j10
b(c(11)) = 0: c(11) = 0
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 b(c(15)) = 0: c(15) = 0
150 b(c(16)) = 0: c(16) = 0
160 b(c(17)) = 0: c(17) = 0
170 Next j17
b(c(18)) = 0: c(18) = 0
180 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 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 MgcSqr5e")
End
' Print results (selected numbers)
640 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 = 0
Else
If n9 > 1 Then k2 = k2 + 6
End If
Cells(k1 + 1, k2 + 1).Select
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
a2 = a(j1)
For j2 = (1 + j1) To 25
If a2 = a(j2) Then fl1 = 0: GoTo 850
Next j2
Next j1
850 Return
End Sub
