' Generates Prime Number Inlaid Magic Squares of order 6
' Tested with Office 2007 under Windows 7
Sub MagSqrs413()
Dim a1(1142), a(36), b1(10133), b(10133), c(36)
Dim a2(1142), b2(20133)
y = MsgBox("Locked", vbCritical, "Routine MgcSqrs413")
End
n2 = 0: n3 = 0: k1 = 1: k2 = 1: n9 = 0
ShtNm1 = "Pairs6"
t1 = Timer
Sheets("Klad1").Select
For j100 = 2 To 968
Cells(k1, 1).Select: Cells(k1, 1).Value = j100
' Read Inlaid Sqr (3 x 3)
Erase a
a(22) = Sheets("PrLns3").Cells(j100, 1).Value
a(23) = Sheets("PrLns3").Cells(j100, 2).Value
a(24) = Sheets("PrLns3").Cells(j100, 3).Value
a(28) = Sheets("PrLns3").Cells(j100, 4).Value
a(29) = Sheets("PrLns3").Cells(j100, 5).Value
a(30) = Sheets("PrLns3").Cells(j100, 6).Value
a(34) = Sheets("PrLns3").Cells(j100, 7).Value
a(35) = Sheets("PrLns3").Cells(j100, 8).Value
a(36) = Sheets("PrLns3").Cells(j100, 9).Value
s31 = Sheets("PrLns3").Cells(j100, 10).Value ' MC3
s32 = Sheets("PrLns3").Cells(j100, 11).Value ' Border Pairs
Pr3 = Sheets("PrLns3").Cells(j100, 12).Value ' Border Pairs
s4 = Sheets("PrLns3").Cells(j100, 13).Value ' MC4
s6 = Sheets("PrLns3").Cells(j100, 14).Value ' MC6
' Define Prime Numbers for Mgc Sqr 4 x 4
Rcrd4 = Sheets("PrLns3").Cells(j100, 16).Value ' Record for Mgc Sqr 4 x 4
Rcrd1 = Rcrd4: GoSub 2010
' Define Prime Numbers for Brdr Pairs
Rcrd3 = Sheets("PrLns3").Cells(j100, 16).Value ' Record for Brdr Pairs
Rcrd1 = Rcrd3: GoSub 2020
' Block used Variables
For i1 = 1 To 36
If a(i1) <> 0 Then b(a(i1)) = a(i1)
Next i1
' Pan Magic Square (4 x 4)
If a(22) > s4 / 2 Then GoTo 1000
a(8) = s4 / 2 - a(22): If b1(a(8)) = 0 Then GoTo 1000
b(a(8)) = a(8)
For j21 = m1 To m2 'a(21)
If b1(a1(j21)) = 0 Then GoTo 210
If b(a1(j21)) = 0 Then b(a1(j21)) = a1(j21): c(21) = a1(j21) Else GoTo 210
a(21) = a1(j21)
a(7) = s4 / 2 - a(21): If b(a(7)) = 0 Then b(a(7)) = a(7): c(7) = a(7) Else GoTo 70
For j20 = m1 To m2 'a(20)
If b1(a1(j20)) = 0 Then GoTo 200
If b(a1(j20)) = 0 Then b(a1(j20)) = a1(j20): c(20) = a1(j20) Else GoTo 200
a(20) = a1(j20)
a(10) = s4 / 2 - a(20): If b(a(10)) = 0 Then b(a(10)) = a(10): c(10) = a(10) Else GoTo 100
a(19) = s4 - a(20) - a(21) - a(22)
If a(19) < a1(m1) Or a(19) > a1(m2) Then GoTo 190
If b1(a(19)) = 0 Then GoTo 190
If b(a(19)) = 0 Then b(a(19)) = a(19): c(19) = a(19) Else GoTo 190
a(9) = s4 / 2 - a(19): If b(a(9)) = 0 Then b(a(9)) = a(9): c(9) = a(9) Else GoTo 90
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(2) = s4 / 2 - a(16): If b(a(2)) = 0 Then b(a(2)) = a(2): c(2) = a(2) Else GoTo 20
a(15) = s4 - a(16) - a(21) - a(22)
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
a(1) = s4 / 2 - a(15): If b(a(1)) = 0 Then b(a(1)) = a(1): c(1) = a(1) Else GoTo 10
a(14) = a(16) - a(20) + a(22)
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(4) = s4 / 2 - a(14): If b(a(4)) = 0 Then b(a(4)) = a(4): c(4) = a(4) Else GoTo 40
a(13) = -a(16) + a(20) + a(21)
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
a(3) = s4 / 2 - a(13): If b(a(3)) = 0 Then b(a(3)) = a(3): c(3) = a(3) Else GoTo 30
' Border Pairs Bottom/Left
For j31 = m21 To m22 'a(31)
If b(a2(j31)) = 0 Then b(a2(j31)) = a2(j31): c(31) = a2(j31) Else GoTo 310
a(31) = a2(j31)
a(25) = Pr3 - a(31):
If a(25) < a2(m21) Or a(25) > a2(m22) Then GoTo 250
If b2(a(25)) = 0 Then GoTo 250
If b(a(25)) = 0 Then b(a(25)) = a(25): c(25) = a(25) Else GoTo 250
For j26 = m21 To m22 'a(26)
If b(a2(j26)) = 0 Then b(a2(j26)) = a2(j26): c(26) = a2(j26) Else GoTo 260
a(26) = a2(j26)
a(32) = Pr3 - a(26):
If a(32) < a2(m21) Or a(32) > a2(m22) Then GoTo 320
If b2(a(32)) = 0 Then GoTo 320
If b(a(32)) = 0 Then b(a(32)) = a(32): c(32) = a(32) Else GoTo 320
a(27) = s32 - a(25) - a(26)
If a(27) < a2(m21) Or a(27) > a2(m22) Then GoTo 270
If b2(a(27)) = 0 Then GoTo 270
If b(a(27)) = 0 Then b(a(27)) = a(27): c(27) = a(27) Else GoTo 270
a(33) = Pr3 - a(27):
If a(33) < a2(m21) Or a(33) > a2(m22) Then GoTo 330
If b2(a(33)) = 0 Then GoTo 330
If b(a(33)) = 0 Then b(a(33)) = a(33): c(33) = a(33) Else GoTo 330
' Complete Diagonal and Border Pairs Top/Right
For j11 = m21 To m22 'a(11)
If b(a2(j11)) = 0 Then b(a2(j11)) = a2(j11): c(11) = a2(j11) Else GoTo 110
a(11) = a2(j11)
a(12) = Pr3 - a(11):
If a(12) < a2(m21) Or a(12) > a2(m22) Then GoTo 120
If b2(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(6) = s6 - a(31) - a(26) - a(21) - a(16) - a(11)
If a(6) < a2(m21) Or a(6) > a2(m22) Then GoTo 60
If b2(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) = Pr3 - a(6):
If a(5) < a2(m21) Or a(5) > a2(m22) Then GoTo 50
If b2(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(18) = s32 - a(12) - a(6)
If a(18) < a2(m21) Or a(18) > a2(m22) Then GoTo 180
If b2(a(18)) = 0 Then GoTo 180
If b(a(18)) = 0 Then b(a(18)) = a(18): c(18) = a(18) Else GoTo 180
a(17) = Pr3 - a(18):
If a(17) < a2(m21) Or a(17) > a2(m22) Then GoTo 170
If b2(a(17)) = 0 Then GoTo 170
If b(a(17)) = 0 Then b(a(17)) = a(17): c(17) = a(17) Else GoTo 170
n9 = n9 + 1: GoSub 2650 'Print results (squares)
GoTo 1000 'Print only one square for each j100
b(c(17)) = 0: c(17) = 0
170 b(c(18)) = 0: c(18) = 0
180 b(c(5)) = 0: c(5) = 0
50 b(c(6)) = 0: c(6) = 0
60 b(c(12)) = 0: c(12) = 0
120 b(c(11)) = 0: c(11) = 0
110 Next j11
b(c(33)) = 0: c(33) = 0
330 b(c(27)) = 0: c(27) = 0
270 b(c(32)) = 0: c(32) = 0
320 b(c(26)) = 0: c(26) = 0
260 Next j26
b(c(25)) = 0: c(25) = 0
250 b(c(31)) = 0: c(31) = 0
310 Next j31
b(c(3)) = 0: c(3) = 0
30 b(c(13)) = 0: c(13) = 0
130 b(c(4)) = 0: c(4) = 0
40 b(c(14)) = 0: c(14) = 0
140 b(c(1)) = 0: c(1) = 0
10 b(c(15)) = 0: c(15) = 0
150 b(c(2)) = 0: c(2) = 0
20 b(c(16)) = 0: c(16) = 0
160 Next j16
b(c(9)) = 0: c(9) = 0
90 b(c(19)) = 0: c(19) = 0
190 b(c(10)) = 0: c(10) = 0
100 b(c(20)) = 0: c(20) = 0
200 Next j20
b(c(7)) = 0: c(7) = 0
70 b(c(21)) = 0: c(21) = 0
210 Next j21
1000 Erase b, c
Next j100
t2 = Timer
t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s6)
y = MsgBox(t10, 0, "Routine MgcPrms6b")
End
' Read Prime Numbers From sheet ShtNm1 (e.g. "Pairs6")
2010 s1 = 3 * Sheets(ShtNm1).Cells(Rcrd1, 1).Value ' MC6
nVar1 = Sheets(ShtNm1).Cells(Rcrd1, 5).Value
For i1 = 1 To nVar1
a1(i1) = Sheets(ShtNm1).Cells(Rcrd1, 10 + i1).Value
Next i1
m1 = 1: m2 = nVar1
Erase b1
For i1 = m1 To m2
b1(a1(i1)) = a1(i1)
Next i1
Return
' Read Prime Numbers From sheet ShtNm1 (e.g. "Pairs6")
2020 s1 = 3 * Sheets(ShtNm1).Cells(Rcrd1, 1).Value ' MC6
nVar2 = Sheets(ShtNm1).Cells(Rcrd1, 5).Value
For i1 = 1 To nVar2
a2(i1) = Sheets(ShtNm1).Cells(Rcrd1, 10 + i1).Value
Next i1
m21 = 1: m22 = nVar2
Erase b2
For i1 = m21 To m22
b2(a1(i1)) = a2(i1)
Next i1
Return
' Print results (squares)
2650 n2 = n2 + 1
If n2 = 5 Then
n2 = 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 = j100
Cells(k1, k2 + 2).Value = n9
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
End Sub
