' Generates order 3 Semi MagicSquares, Prime Numbers (7 Magic Lines)
' Potential Square Inlays
' Tested with Office 365 under Windows 10
Sub SemiMgc37()
Dim a1(144), a(9), b1(3000), b(3000), c(9)
y = MsgBox("Locked", vbCritical, "Routine SemiMgc37")
End
n1 = 0: n9 = 0: n10 = 0: k1 = 1: k2 = 1
ShtNm1 = "Ranges12" 'Prime Number Ranges
nRw1 = 1: NRw2 = 145 'Rows Input Sheet
Clmn1 = 1 'Column Nr in Range12, Primes 89 ... 991
'' Clmn1 = 3 'Column Nr in Range12, Primes 107 ... 1019
For i1 = nRw1 To NRw2
a1(i1 - 1) = Sheets(ShtNm1).Cells(i1, Clmn1).Value
b1(a1(i1 - 1)) = a1(i1 - 1)
Next i1
m1 = nRw1 - 1: m2 = NRw2 - 1
s11 = a1(1) + a1(2) + a1(3)
s12 = a1(m2 - 2) + a1(m2 - 1) + a1(m2)
' Generate Squares
Sheets("Klad1").Select
t1 = Timer
For j10 = s11 To s12
s1 = j10
' *** Block Here If Applicable ***
For j9 = m1 To m2 'a(9)
If b(a1(j9)) = 0 Then b(a1(j9)) = a1(j9): c(9) = a1(j9) Else GoTo 90
a(9) = a1(j9)
For j8 = m1 To m2 'a(8)
If b(a1(j8)) = 0 Then b(a1(j8)) = a1(j8): c(8) = a1(j8) Else GoTo 80
a(8) = a1(j8)
a(7) = s1 - a(8) - a(9):
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
For j6 = m1 To m2 'a(6)
If b(a1(j6)) = 0 Then b(a1(j6)) = a1(j6): c(6) = a1(j6) Else GoTo 60
a(6) = a1(j6)
a(5) = -s1 + a(6) + a(8) + 2 * a(9)
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(4) = 2 * s1 - 2 * a(6) - a(8) - 2 * a(9)
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
a(3) = s1 - a(6) - a(9)
If a(3) < a1(m1) Or a(3) > a1(m2) Then GoTo 30:
If a(3) > a(7) Then GoTo 30 'Unique
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
a(2) = 2 * s1 - a(6) - 2 * a(8) - 2 * a(9)
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
a(1) = -2 * s1 + 2 * a(6) + 2 * a(8) + 3 * a(9)
If a(1) < a1(m1) Or a(1) > a1(m2) Then GoTo 10:
If a(1) < a(9) Then GoTo 10 'Unique
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
' Exclude solutions with identical numbers (Back Up)
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)
' n9 = n9 + 1:: Cells(1, 1).Value = n9 'Counting
' Sheets(ShtNm1).Cells(j10, 4).Value = "y"
' Erase b, c: GoTo 1000 'Print only first square
5
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(4)) = 0: c(4) = 0
40 b(c(5)) = 0: c(5) = 0
50 b(c(6)) = 0: c(6) = 0
60 Next j6
b(c(7)) = 0: c(7) = 0
70 b(c(8)) = 0: c(8) = 0
80 Next j8
b(c(9)) = 0: c(9) = 0
90 Next j9
n10 = 0
Erase b, c
1000 Next j10
t2 = Timer
t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions"
y = MsgBox(t10, 0, "Routine SemiMgc37")
End
' Print results (selected numbers)
640 ''Cells(n9, 9).Select
For i1 = 1 To 9
Cells(n9, i1).Value = a(i1)
Next i1
Cells(n9, 10).Value = s1
Cells(n9, 11).Value = n10
Cells(1, 13).Value = n9
Return
' Print results (squares)
650 n1 = n1 + 1
If n1 = 5 Then
n1 = 1: k1 = k1 + 4: k2 = 1
Else
If n9 > 1 Then k2 = k2 + 4
End If
Cells(k1, k2 + 1).Font.Color = -4165632
Cells(k1, k2 + 1).Value = s1
Cells(k1, k2 + 2).Value = n10
i3 = 0
For i1 = 1 To 3
For i2 = 1 To 3
i3 = i3 + 1
Cells(k1 + i1, k2 + i2).Value = a(i3)
Next i2
Next i1
Return
' Exclude solutions with identical numbers (Back Up)
800 fl1 = 1
For j1 = 1 To 9
a2 = a(j1)
For j2 = (1 + j1) To 9
If a2 = a(j2) Then fl1 = 0: Return
Next j2
Next j1
Return
End Sub
