' Generates Sets of Pan Magic Squares of order 4
' For Composed Magic Squares of order 8 based on Twin Pairs

' Tested with Office 2007 under Windows 7

```Sub Priem4b2()

Dim a1(1172), a(17), b1(13967), b(13967), c(17)

y = MsgBox("Locked", vbCritical, "Routine Priem4b2")
End

n2 = 0: n3 = 0: n9 = 0: n10 = 0: k1 = 1: k2 = 1
ShtNm1 = "Pairs8"

t1 = Timer

For j100 = 2 To 1569

'   Define variables                                         Pairs6

s1 = 2 * Sheets(ShtNm1).Cells(j100, 1).Value
nVar1 = Sheets(ShtNm1).Cells(j100, 5).Value             '5
If nVar1 < 64 Then GoTo 10

'   Read Prime Numbers From sheet ShtNm1

For i1 = 1 To nVar1
a1(i1) = Sheets(ShtNm1).Cells(j100, 6 + i1).Value   '10 + i1
Next i1

m1 = 1: m2 = nVar1

Erase b1
For i1 = m1 To m2
b1(a1(i1)) = a1(i1)
Next i1

'   Generate squares

a(17) = 2: n10 = 0

For j16 = m1 To m2                                          'a(16)
If b1(a1(j16)) = 0 Then GoTo 160
If b(a1(j16)) = 0 Then b(a1(j16)) = a1(j16): c(16) = a1(j16) Else GoTo 160
a(16) = a1(j16)

a(15) = 0.5 * s1 - a(16) + a(17)
If a(15) < a1(m1) Or a(15) > a1(m2) Then GoTo 150
If b1(a(15)) = 0 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 b1(a1(j14)) = 0 Then GoTo 140
If b(a1(j14)) = 0 Then b(a1(j14)) = a1(j14): c(14) = a1(j14) Else GoTo 140
a(14) = a1(j14)

a(13) = 0.5 * s1 - a(14) - a(17)
If a(13) < a1(m1) Or a(13) > a1(m2) Then GoTo 130
If b1(a(13)) = 0 Then GoTo 130
If b(a(13)) = 0 Then b(a(13)) = a(13): c(13) = a(13) Else GoTo 130

For j12 = m1 To m2                                          'a(12)
If b1(a1(j12)) = 0 Then GoTo 120
If b(a1(j12)) = 0 Then b(a1(j12)) = a1(j12): c(12) = a1(j12) Else GoTo 120
a(12) = a1(j12)

a(11) = 0.5 * s1 - a(12) - a(17)
If a(11) < a1(m1) Or a(11) > a1(m2) Then GoTo 70
If b1(a(11)) = 0 Then GoTo 70

a(10) = a(12) - a(14) + a(16)
If a(10) < a1(m1) Or a(10) > a1(m2) Then GoTo 70
If b1(a(10)) = 0 Then GoTo 70

a(9) = 0.5 * s1 - a(12) + a(14) - a(16) + a(17)
If a(9) < a1(m1) Or a(9) > a1(m2) Then GoTo 70
If b1(a(9)) = 0 Then GoTo 70

a(8) = 0.5 * s1 - a(14)
If a(8) < a1(m1) Or a(8) > a1(m2) Then GoTo 70
If b1(a(8)) = 0 Then GoTo 70

a(7) = a(14) + a(17)
If a(7) < a1(m1) Or a(7) > a1(m2) Then GoTo 70:
If b1(a(7)) = 0 Then GoTo 70

a(6) = 0.5 * s1 - a(16)
If a(6) < a1(m1) Or a(6) > a1(m2) Then GoTo 70:
If b1(a(6)) = 0 Then GoTo 70

a(5) = a(16) - a(17)
If a(5) < a1(m1) Or a(5) > a1(m2) Then GoTo 70:
If b1(a(5)) = 0 Then GoTo 70

a(4) = 0.5 * s1 - a(12) + a(14) - a(16)
If a(4) < a1(m1) Or a(4) > a1(m2) Then GoTo 70:
If b1(a(4)) = 0 Then GoTo 70

a(3) = a(12) - a(14) + a(16) - a(17)
If a(3) < a1(m1) Or a(3) > a1(m2) Then GoTo 70:
If b1(a(3)) = 0 Then GoTo 70

a(2) = 0.5 * s1 - a(12)
If a(2) < a1(m1) Or a(2) > a1(m2) Then GoTo 70:
If b1(a(2)) = 0 Then GoTo 70

a(1) = a(12) + a(17)
If a(1) < a1(m1) Or a(1) > a1(m2) Then GoTo 70:
If b1(a(1)) = 0 Then GoTo 70

'                           Exclude solutions with identical numbers

GoSub 800: If fl1 = 0 Then GoTo 70

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

GoSub 900              'Remove used primes from available primes (option)
Erase b, c: GoTo 160

70  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 Next j14

b(c(15)) = 0: c(15) = 0
150 b(c(16)) = 0: c(16) = 0
160 Next j16

n10 = 0
10  Next j100

t2 = Timer

t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s1)
y = MsgBox(t10, 0, "Routine Priem4b")

End

'   Print results (selected numbers)

640 For i1 = 1 To 16
Cells(n9, i1).Value = a(i1)
Next i1

Return

'   Print results (squares)

650 n2 = n2 + 1
If n2 = 5 Then
n2 = 1: k1 = k1 + 5: k2 = 1
Else
If n9 > 1 Then k2 = k2 + 5
End If

Cells(k1, k2 + 1).Select
Cells(k1, k2 + 1).Font.Color = -4165632
Cells(k1, k2 + 1).Value = CStr(s1) + ", " + CStr(n10)

i3 = 0
For i1 = 1 To 4
For i2 = 1 To 4
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 16
a2 = a(j1)
For j2 = (1 + j1) To 16
If a2 = a(j2) Then fl1 = 0: Return
Next j2
Next j1
Return

'   Remove used primes from available primes

900 For i1 = 1 To 16
b1(a(i1)) = 0
Next i1
Return

End Sub
```