' Generates Eccentric Magic Squares of order 7, based on supplementar rows and columns
' Tested with Office 2007 under Windows 7
Sub MgcSqr7e()
Dim a1(25), a(49), b(49), c(49)
y = MsgBox("Locked", vbCritical, "Routine MgcSqr7e")
End
' Defining (Pan) Magic Square (5 x 5)
' a1( 1) = 8: a1( 2) = 2: a1( 3) = 21: a1( 4) = 20: a1( 5) = 14
' a1( 6) = 16: a1( 7) = 15: a1( 8) = 9: a1( 9) = 3: a1(10) = 22
' a1(11) = 4: a1(12) = 23: a1(13) = 17: a1(14) = 11: a1(15) = 10
' a1(16) = 12: a1(17) = 6: a1(18) = 5: a1(19) = 24: a1(20) = 18
' a1(21) = 25: a1(22) = 19: a1(23) = 13: a1(24) = 7: a1(25) = 1
' Defining Eccentric Magic Square (5 x 5)
a1( 1) = 5: a1( 2) = 19: a1( 3) = 3: a1( 4) = 20: a1( 5) = 18
a1( 6) = 7: a1( 7) = 21: a1( 8) = 23: a1( 9) = 6: a1(10) = 8
a1(11) = 4: a1(12) = 22: a1(13) = 16: a1(14) = 11: a1(15) = 12
a1(16) = 25: a1(17) = 1: a1(18) = 9: a1(19) = 13: a1(20) = 17
a1(21) = 24: a1(22) = 2: a1(23) = 14: a1(24) = 15: a1(25) = 10
n2 = 0: n9 = 0
m1 = 1: m2 = 49: s1 = 175
Sheets("Klad1").Select
t1 = Timer
' Initiate a(..)
For j1 = 17 To 49
Select Case j1
Case 17 To 21
a(j1) = a1(j1 - 16) + 12: b(a(j1)) = a(j1): c(j1) = a(j1)
Case 24 To 28
a(j1) = a1(j1 - 18) + 12: b(a(j1)) = a(j1): c(j1) = a(j1)
Case 31 To 35
a(j1) = a1(j1 - 20) + 12: b(a(j1)) = a(j1): c(j1) = a(j1)
Case 38 To 42
a(j1) = a1(j1 - 22) + 12: b(a(j1)) = a(j1): c(j1) = a(j1)
Case 45 To 49
a(j1) = a1(j1 - 24) + 12: b(a(j1)) = a(j1): c(j1) = a(j1)
End Select
Next j1
For j44 = 1 To 1 'a(44)
If b(j44) = 0 Then b(j44) = j44: c(44) = j44 Else GoTo 440
a(44) = j44
a(43) = 50 - a(44)
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
For j37 = m1 To m2 'a(37)
If b(j37) = 0 Then b(j37) = j37: c(37) = j37 Else GoTo 370
a(37) = j37
a(36) = 50 - a(37)
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
For j30 = m1 To m2 'a(30)
If b(j30) = 0 Then b(j30) = j30: c(30) = j30 Else GoTo 300
a(30) = j30
a(29) = 50 - a(30)
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
For j23 = m1 To m2 'a(23)
If b(j23) = 0 Then b(j23) = j23: c(23) = j23 Else GoTo 230
a(23) = j23
a(22) = 50 - a(23)
If a(22) <= 0 Or a(22) > 49 Then GoTo 220
If b(a(22)) = 0 Then b(a(22)) = a(22): c(22) = a(22) Else GoTo 220
For j16 = m1 To m2 'a(16)
If b(j16) = 0 Then b(j16) = j16: c(16) = j16 Else GoTo 160
a(16) = j16
a(15) = 50 - a(16)
If a(15) <= 0 Or a(15) > 49 Then GoTo 150
If b(a(15)) = 0 Then b(a(15)) = a(15): c(15) = a(15) Else GoTo 150
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(13) = 125 + a(14) - a(19) - a(25) - a(31) - a(37) - a(43)
If a(13) <= 0 Or a(13) > 49 Then GoTo 130
If b(a(13)) = 0 Then b(a(13)) = a(13): c(13) = a(13) Else GoTo 130
a(7) = 50 - a(14)
If a(7) <= 0 Or a(7) > 49 Then GoTo 70
If b(a(7)) = 0 Then b(a(7)) = a(7): c(7) = a(7) Else GoTo 70
a(6) = 50 - a(13)
If a(6) <= 0 Or a(6) > 49 Then GoTo 60
If b(a(6)) = 0 Then b(a(6)) = a(6): c(6) = a(6) Else GoTo 60
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(5) = 50 - a(12)
If a(5) <= 0 Or a(5) > 49 Then GoTo 50
If b(a(5)) = 0 Then b(a(5)) = a(5): c(5) = a(5) Else GoTo 50
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(4) = 50 - a(11)
If a(4) <= 0 Or a(4) > 49 Then GoTo 40
If b(a(4)) = 0 Then b(a(4)) = a(4): c(4) = a(4) Else GoTo 40
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) = 150 - 0.5 * (a(10) + a(11) + a(12) + a(13) + a(14) + a(16) + a(23) + a(30) + a(37) + a(44))
If a(9) <= 0 Or a(9) > 49 Or Int(a(9)) <> a(9) Then GoTo 90
If b(a(9)) = 0 Then b(a(9)) = a(9): c(9) = a(9) Else GoTo 90
a(8) = -125 + a(9) + a(16) + a(23) + a(30) + a(37) + a(44)
If a(8) <= 0 Or a(8) > 49 Then GoTo 80
If b(a(8)) = 0 Then b(a(8)) = a(8): c(8) = a(8) Else GoTo 80
a(3) = 50 - a(10)
If a(3) <= 0 Or a(3) > 49 Then GoTo 30
If b(a(3)) = 0 Then b(a(3)) = a(3): c(3) = a(3) Else GoTo 30
a(2) = 50 - a(8)
If a(2) <= 0 Or a(2) > 49 Then GoTo 20
If b(a(2)) = 0 Then b(a(2)) = a(2): c(2) = a(2) Else GoTo 20
a(1) = 50 - a(9)
If a(1) <= 0 Or a(1) > 49 Then GoTo 10
If b(a(1)) = 0 Then b(a(1)) = a(1): c(1) = a(1) Else GoTo 10
n9 = n9 + 1
GoSub 2650 'Print results (squares)
' GoSub 2645 'Print results (selected numbers)
b(c(1)) = 0: c(1) = 0
10 b(c(2)) = 0: c(2) = 0
20 b(c(3)) = 0: c(3) = 0
30 b(c(8)) = 0: c(8) = 0
80 b(c(9)) = 0: c(9) = 0
90 b(c(10)) = 0: c(10) = 0
100 Next j10
b(c(4)) = 0: c(4) = 0
40 b(c(11)) = 0: c(11) = 0
110 Next j11
b(c(5)) = 0: c(5) = 0
50 b(c(12)) = 0: c(12) = 0
120 Next j12
b(c(6)) = 0: c(6) = 0
60 b(c(7)) = 0: c(7) = 0
70 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 b(c(16)) = 0: c(16) = 0
160 Next j16
b(c(22)) = 0: c(22) = 0
220 b(c(23)) = 0: c(23) = 0
230 Next j23
b(c(29)) = 0: c(29) = 0
290 b(c(30)) = 0: c(30) = 0
300 Next j30
b(c(36)) = 0: c(36) = 0
360 b(c(37)) = 0: c(37) = 0
370 Next j37
b(c(43)) = 0: c(43) = 0
430 b(c(44)) = 0: c(44) = 0
440 Next j44
t2 = Timer
t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions"
y = MsgBox(t10, 0, "Routine MgcSqr7e")
End
' 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 = 0
Else
If n9 > 1 Then k2 = k2 + 8
End If
Cells(k1 + 1, k2 + 1).Select
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
