' Generates Simple Magic Squares of order 6 for Prime Numbers
' Two order 3 Semi Magic Bottom Squares
' Tested with Office 2007 under Windows 7
Sub Priem6c4()
Dim a1(591), b1(6829), b(6829), c(36), a(36)
y = MsgBox("Locked", vbCritical, "Routine Priem6c4")
End
n1 = 0: n9 = 0: n10 = 0: k1 = 1: k2 = 1
ShtNm1 = "Priem2"
nvar1 = 122
' Read Prime Numbers From sheet ShtNm1
For i1 = 1 To nvar1
a1(i1) = Sheets(ShtNm1).Cells(i1, 3).Value
Next i1
m1 = 1: m2 = nvar1
Erase b1
For i1 = m1 To m2
b1(a1(i1)) = a1(i1)
Next i1
Sheets("Klad1").Select
t1 = Timer
' Generate Squares
For j100 = 2 To 18
s1 = Sheets("Lines6").Cells(j100, 37).Value
s3 = s1 / 2
' Read Defined Variables from "Lines6"
For i1 = 19 To 36
a(i1) = Sheets("Lines6").Cells(j100, i1).Value
b(a(i1)) = a(i1)
Next i1
For j18 = m1 To m2 'a(18)
If b1(a1(j18)) = 0 Then GoTo 180
If b(a1(j18)) = 0 Then b(a1(j18)) = a1(j18): c(18) = a1(j18) Else GoTo 180
a(18) = a1(j18)
For j17 = m1 To m2 'a(17)
If b1(a1(j17)) = 0 Then GoTo 170
If b(a1(j17)) = 0 Then b(a1(j17)) = a1(j17): c(17) = a1(j17) Else GoTo 170
a(17) = a1(j17)
''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(16) = s3 - a(17) - a(18)
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 'a(15)
If b1(a1(j15)) = 0 Then GoTo 150
If b(a1(j15)) = 0 Then b(a1(j15)) = a1(j15): c(15) = a1(j15) Else GoTo 150
a(15) = a1(j15)
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) = s1 - a(14) - a(15) - a(16) - a(17) - a(18)
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) = a(12) - a(16) + a(18) - a(21) + a(24) - a(26) + a(30) - a(31) + a(36)
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(11) - a(16) - a(21) - a(26) - a(31)
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(5) = s1 - a(11) - a(17) - a(23) - a(29) - a(35)
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 j10 = m1 To m2 'a(10)
If b1(a1(j10)) = 0 Then GoTo 100
If b(a1(j10)) = 0 Then b(a1(j10)) = a1(j10): c(10) = a1(j10) Else GoTo 100
a(10) = a1(j10)
a(4) = s1 - a(10) - a(16) - a(22) - a(28) - a(34)
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 j9 = m1 To m2 'a(9)
If b1(a1(j9)) = 0 Then GoTo 90
If b(a1(j9)) = 0 Then b(a1(j9)) = a1(j9): c(9) = a1(j9) Else GoTo 90
a(9) = a1(j9)
a(8) = (-a(9)-a(10)-2*a(11)-a(14)-2*a(15)-2*a(16)-a(17)+2*a(19)+a(20)+a(23)+2*a(24)+2*a(25)+a(27)+a(28)+2*a(30))/2
If a(8) < a1(m1) Or a(8) > a1(m2) Then GoTo 80
If b1(a(8)) = 0 Then GoTo 80
If b(a(8)) = 0 Then b(a(8)) = a(8): c(8) = a(8) Else GoTo 80
a(7) = a(8) - a(13) + a(15) - a(19) + a(22) - a(25) + a(29) - a(31) + a(36)
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(3) = s1 - a(9) - a(15) - a(21) - a(27) - a(33)
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
a(2) = s1 - a(8) - a(14) - a(20) - a(26) - a(32)
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) = s1 - a(8) - a(15) - a(22) - a(29) - a(36)
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
' Exclude solutions with identical numbers
GoSub 800: If fl1 = 0 Then GoTo 5
n9 = n9 + 1: GoSub 650 'Print intermediate results (squares)
' n9 = n9 + 1: GoSub 640 'Print intermediate results (lines)
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(7)) = 0: c(7) = 0
70 b(c(8)) = 0: c(8) = 0
80 b(c(9)) = 0: c(9) = 0
90 Next j9
b(c(4)) = 0: c(4) = 0
40 b(c(10)) = 0: c(10) = 0
100 Next j10
b(c(5)) = 0: c(5) = 0
50 b(c(6)) = 0: c(6) = 0
60 b(c(11)) = 0: c(11) = 0
110 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 Next j15
b(c(16)) = 0: c(16) = 0
160 ''Next j16
b(c(17)) = 0: c(17) = 0
170 Next j17
b(c(18)) = 0: c(18) = 0
180 Next j18
1000 Erase b, c
Next j100
t2 = Timer
t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions"
y = MsgBox(t10, 0, "Routine Priem6c4")
End
' Print results (selected numbers)
640 Cells(n9, 9).Select
For i1 = 1 To 36
Cells(n9, i1).Value = a(i1)
Next i1
Cells(n9, 37).Value = s1
Return
' Print intermediate results a()
650 n1 = n1 + 1
If n1 = 4 Then
n1 = 1: k1 = k1 + 7: k2 = 1
Else
If n9 > 1 Then k2 = k2 + 7
End If
Cells(k1, k2 + 1).Select
Cells(k1, k2 + 1).Font.Color = -4165632
Cells(k1, k2 + 1).Value = CStr(s1)
i3 = 0
For i1 = 1 To 6
For i2 = 1 To 6
i3 = i3 + 1
Cells(k1 + i1, k2 + i2).Value = a(i3)
Next i2
Next i1
Return
' Exclude solutions with identical numbers a()
800 fl1 = 1
For j1 = 1 To 36
a20 = a(j1): If a20 = 0 Then GoTo 810
For j2 = (1 + j1) To 36
If a20 = a(j2) Then fl1 = 0: Return
Next j2
810 Next j1
Return
End Sub
