' Generates Pan Magic Squares of order 5 for integers as defined in area a1()
' Tested with Office 2007 under Windows 7
Sub MgcSqr5a5()
Dim a25(25), a1(25), a(25), b1(159), b(159), c(25)
y = MsgBox("Locked", vbCritical, "Routine MgcSqr5a5")
End
n2 = 0: n9 = 0: k1 = 1: k2 = 1
m1 = 1: m2 = 25: s1 = 425
' Define variables
a1(1) = 11: a1(2) = 12: a1(3) = 15: a1(4) = 18: a1(5) = 19:
a1(6) = 20: a1(7) = 21: a1(8) = 24: a1(9) = 27: a1(10) = 28:
a1(11) = 81: a1(12) = 82: a1(13) = 85: a1(14) = 88: a1(15) = 89:
a1(16) = 142: a1(17) = 143: a1(18) = 146: a1(19) = 149: a1(20) = 150:
a1(21) = 151: a1(22) = 152: a1(23) = 155: a1(24) = 158: a1(25) = 159:
For i1 = 1 To 25
b1(a1(i1)) = a1(i1)
Next i1
' Generate Squares
Sheets("SqrC").Select
t1 = Timer
For j25 = 13 To 13 'a(25)
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)
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)
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)
If b(a1(j22)) = 0 Then b(a1(j22)) = a1(j22): c(22) = a1(j22) Else GoTo 220
a(22) = a1(j22)
a(21) = s1 - 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
For j20 = m1 To m2 'a(20)
If b(a1(j20)) = 0 Then b(a1(j20)) = a1(j20): c(20) = a1(j20) Else GoTo 200
a(20) = a1(j20)
a(5) = -a(20) + a(22) + a(23): If a(5) < a1(m1) Or a(5) > a1(m2) Then GoTo 50
If b1(a(5)) = 0 Then GoTo 50
If b(a(5)) = 0 Then b(a(5)) = a(5): c(5) = a(5) Else GoTo 50
For j19 = m1 To m2 'a(19)
If b(a1(j19)) = 0 Then b(a1(j19)) = a1(j19): c(19) = a1(j19) Else GoTo 190
a(19) = a1(j19)
a(12) = a(19) + a(20) - a(22): If a(12) < a1(m1) Or a(12) > a1(m2) Then GoTo 120
If b1(a(12)) = 0 Then GoTo 120
If b(a(12)) = 0 Then b(a(12)) = a(12): c(12) = a(12) Else GoTo 120
a(7) = s1 - a(19) - a(20) - a(24) - a(25): If a(7) < a1(m1) Or a(7) > a1(m2) Then GoTo 70
If b1(a(7)) = 0 Then GoTo 70
If b(a(7)) = 0 Then b(a(7)) = a(7): c(7) = a(7) Else GoTo 70
a(4) = -a(19) + a(21) + a(22): If a(4) < a1(m1) Or a(4) > a1(m2) Then GoTo 40
If b1(a(4)) = 0 Then GoTo 40
If b(a(4)) = 0 Then b(a(4)) = a(4): c(4) = a(4) Else GoTo 40
For j18 = m1 To m2 'a(18)
If b(a1(j18)) = 0 Then b(a1(j18)) = a1(j18): c(18) = a1(j18) Else GoTo 180
a(18) = a1(j18)
a(14) = s1 - a(18) - a(19) - a(20) - a(24): If a(14) < a1(m1) Or a(14) > a1(m2) Then GoTo 140
If b1(a(14)) = 0 Then GoTo 140
If b(a(14)) = 0 Then b(a(14)) = a(14): c(14) = a(14) Else GoTo 140
a(11) = a(18) + a(19) - a(21): If a(11) < a1(m1) Or a(11) > a1(m2) Then GoTo 110
If b1(a(11)) = 0 Then GoTo 110
If b(a(11)) = 0 Then b(a(11)) = a(11): c(11) = a(11) Else GoTo 110
a(6) = s1 - a(18) - a(19) - a(23) - a(24): If a(6) < a1(m1) Or a(6) > a1(m2) Then GoTo 60
If b1(a(6)) = 0 Then GoTo 60
If b(a(6)) = 0 Then b(a(6)) = a(6): c(6) = a(6) Else GoTo 60
a(3) = -a(18) + a(21) + a(25): If a(3) < a1(m1) Or a(3) > a1(m2) Then GoTo 30
If b1(a(3)) = 0 Then GoTo 30
If b(a(3)) = 0 Then b(a(3)) = a(3): c(3) = a(3) Else GoTo 30
For j17 = m1 To m2 'a(17)
If b(a1(j17)) = 0 Then b(a1(j17)) = a1(j17): c(17) = a1(j17) Else GoTo 170
a(17) = a1(j17)
a(16) = s1 - a(17) - a(18) - a(19) - a(20): If a(16) < a1(m1) Or a(16) > a1(m2) Then GoTo 160:
If b1(a(16)) = 0 Then GoTo 160
a(15) = a(17) + a(18) - a(25): If a(15) < a1(m1) Or a(15) > a1(m2) Then GoTo 160:
If b1(a(15)) = 0 Then GoTo 160
a(13) = s1 - a(17) - a(18) - a(19) - a(23): If a(13) < a1(m1) Or a(13) > a1(m2) Then GoTo 160:
If b1(a(13)) = 0 Then GoTo 160
a(10) = s1 - a(17) - a(18) - a(22) - a(23): If a(10) < a1(m1) Or a(10) > a1(m2) Then GoTo 160:
If b1(a(10)) = 0 Then GoTo 160
a(9) = s1 - a(16) - a(17) - a(21) - a(22): If a(9) < a1(m1) Or a(9) > a1(m2) Then GoTo 160:
If b1(a(9)) = 0 Then GoTo 160
a(8) = s1 - a(16) - a(20) - a(21) - a(25): If a(8) < a1(m1) Or a(8) > a1(m2) Then GoTo 160:
If b1(a(8)) = 0 Then GoTo 160
a(2) = -a(17) + a(24) + a(25): If a(2) < a1(m1) Or a(2) > a1(m2) Then GoTo 160:
If b1(a(2)) = 0 Then GoTo 160
a(1) = -a(16) + a(23) + a(24): If a(1) < a1(m1) Or a(1) > a1(m2) Then GoTo 160:
If b1(a(1)) = 0 Then GoTo 160
' Exclude solutions with identical numbers
GoSub 800: If fl1 = 0 Then GoTo 160
n9 = n9 + 1
'' GoSub 650 'Print results (squares)
GoSub 640 'Print results (selected numbers)
160 b(c(17)) = 0: c(17) = 0
170 Next j17
b(c(3)) = 0: c(3) = 0
30 b(c(6)) = 0: c(6) = 0
60 b(c(11)) = 0: c(11) = 0
110 b(c(14)) = 0: c(14) = 0
140 b(c(18)) = 0: c(18) = 0
180 Next j18
b(c(4)) = 0: c(4) = 0
40 b(c(7)) = 0: c(7) = 0
70 b(c(12)) = 0: c(12) = 0
120 b(c(19)) = 0: c(19) = 0
190 Next j19
b(c(5)) = 0: c(5) = 0
50 b(c(20)) = 0: c(20) = 0
200 Next j20
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 MgcSqr5a5")
End
' Print results (selected numbers, reflected)
640 Cells(n9, 25).Select
GoSub 700
For i1 = 1 To 25
Cells(n9, i1).Value = a25(i1)
Next i1
Return
' Print results (squares, reflected)
650 GoSub 700
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 = a25(i3)
Next i2
Next i1
Return
' Reflect Square (85 in left corner)
700
i2 = -4
For i1 = 1 To 5
i2 = i2 + 5
a25(i2) = a(i2 + 4): a25(i2 + 4) = a(i2)
a25(i2 + 1) = a(i2 + 3): a25(i2 + 3) = a(i2 + 1)
a25(i2 + 2) = a(i2 + 2)
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
