' Generates Concentric Magic Squares of order 5 for Odd Numbers
' Suitable for Concentric Lozenge Squares of order 9 and 11

' Tested with Office 2007 under Windows 7

```Sub Priem5c()

Dim a1(121), a(25), b1(121), b(121), c(25)

y = MsgBox("Locked", vbCritical, "Routine Priem5c")
End

n2 = 0: n3 = 0: n9 = 0: n10 = 0: k1 = 1: k2 = 1

t1 = Timer

'   m1 = 1: m2 =  81: s1 = 205
m1 = 1: m2 = 121: s1 = 305
For i1 = 1 To 81
a1(i1) = i1: b1(i1) = i1
Next i1

For j100 = 2 To 201''85

a(7) = Sheets("Center3").Cells(j100, 1):  b(a(7)) = a(7)
a(8) = Sheets("Center3").Cells(j100, 2):  b(a(8)) = a(8)
a(9) = Sheets("Center3").Cells(j100, 3):  b(a(9)) = a(9)
a(12) = Sheets("Center3").Cells(j100, 4): b(a(12)) = a(12)
a(13) = Sheets("Center3").Cells(j100, 5): b(a(13)) = a(13)
a(14) = Sheets("Center3").Cells(j100, 6): b(a(14)) = a(14)
a(17) = Sheets("Center3").Cells(j100, 7): b(a(17)) = a(17)
a(18) = Sheets("Center3").Cells(j100, 8): b(a(18)) = a(18)
a(19) = Sheets("Center3").Cells(j100, 9): b(a(19)) = a(19)

'   Complete Border(s)

n10 = 0
For j25 = m1 To m2 Step 2                                              'a(25) odd
If b(a1(j25)) = 0 Then b(a1(j25)) = a1(j25): c(25) = a1(j25) Else GoTo 250
a(25) = a1(j25)

a(1) = 0.4 * s1 - a(25)
If a(1) < a1(m1) Or a(1) > a1(m2) Then GoTo 10
If b1(a(1)) = 0 Then GoTo 10
If b(a(1)) = 0 Then b(a(1)) = a(1): c(1) = a(1) Else GoTo 10

For j24 = m1 To m2 Step 2                                              'a(24) odd
If b(a1(j24)) = 0 Then b(a1(j24)) = a1(j24): c(24) = a1(j24) Else GoTo 240
a(24) = a1(j24)

a(4) = 0.4 * s1 - a(24)
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 j23 = m1 To m2 Step 2                                              'a(23) odd
If b(a1(j23)) = 0 Then b(a1(j23)) = a1(j23): c(23) = a1(j23) Else GoTo 230
a(23) = a1(j23)

a(3) = 0.4 * s1 - a(23)
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 j22 = m1 To m2 Step 2                                              'a(22) odd
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 CInt(a(21) / 2) = a(21) / 2 Then GoTo 210                           'a(21) odd
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(5) = 0.4 * s1 - a(21)
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

a(2) = 0.4 * s1 - a(22)
If a(2) < a1(m1) Or a(2) > a1(m2) Then GoTo 20
If b1(a(2)) = 0 Then GoTo 20
If b(a(2)) = 0 Then b(a(2)) = a(2): c(2) = a(2) Else GoTo 20

For j20 = m1 To m2 Step 2                                             'a(20) odd
If b(a1(j20)) = 0 Then b(a1(j20)) = a1(j20): c(20) = a1(j20) Else GoTo 200
a(20) = a1(j20)

a(16) = 0.4 * s1 - a(20)
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 Step 2                                              'a(15) odd
If b(a1(j15)) = 0 Then b(a1(j15)) = a1(j15): c(15) = a1(j15) Else GoTo 150
a(15) = a1(j15)

a(11) = 0.4 * s1 - a(15)
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(10) = 0.6 * s1 - a(15) - a(20) + a(21) - a(25)
If CInt(a(10) / 2) = a(10) / 2 Then GoTo 100                           'a(10) odd
If a(10) < a1(m1) Or a(10) > a1(m2) Then GoTo 100:
If b1(a(10)) = 0 Then GoTo 100
If b(a(10)) = 0 Then b(a(10)) = a(10): c(10) = a(10) Else GoTo 100

a(6) = 0.4 * s1 - a(10)
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

'                           Exclude solutions with identical numbers

GoSub 800: If fl1 = 0 Then GoTo 5

n10 = n10 + 1
'                           n9 = n9 + 1: GoSub 640 'Print results (selected numbers)
n9 = n9 + 1: GoSub 650 'Print results (squares)

Erase b, c: GoTo 500    'Print only first square for j100

5
b(c(6)) = 0: c(6) = 0
60  b(c(10)) = 0: c(10) = 0
100 b(c(11)) = 0: c(11) = 0
110 b(c(15)) = 0: c(15) = 0
150 Next j15

b(c(16)) = 0: c(16) = 0
160 b(c(20)) = 0: c(20) = 0
200 Next j20

b(c(2)) = 0: c(2) = 0
20  b(c(5)) = 0: c(5) = 0
50  b(c(21)) = 0: c(21) = 0
210 b(c(22)) = 0: c(22) = 0
220 Next j22

b(c(3)) = 0: c(3) = 0
30  b(c(23)) = 0: c(23) = 0
230 Next j23

b(c(4)) = 0: c(4) = 0
40  b(c(24)) = 0: c(24) = 0
240 Next j24

b(c(1)) = 0: c(1) = 0
10  b(c(25)) = 0: c(25) = 0
250 Next j25

n10 = 0: Erase b, c
n2 = 0: k1 = k1 + 6: k2 = -5
500 Next j100

t2 = Timer

t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s1)
y = MsgBox(t10, 0, "Routine Priem5c")

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 = 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 = CStr(j100 - 1) + "_" + CStr(n10)

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): If a2 = 0 Then GoTo 810
For j2 = (1 + j1) To 25
If a2 = a(j2) Then fl1 = 0: Return
Next j2
810 Next j1
Return

End Sub
```