' Constructs 11 x 11 Bordered Magic Squares for Prime Numbers (Part2)
' Completes the Border with four Magic Rectangles (3 x 5)
' Tested with Office 2007 under Windows 7
Sub Priem11d2()
Dim a1(2448), a(121), a11(121), b1(43300), b(43300), c(121)
y = MsgBox("Locked", vbCritical, "Routine Priem11d2")
End
Sheets("Klad1").Select
n5 = 0: n9 = 0: k1 = 1: k2 = 1: n3 = 0
ShtNm1 = "Pairs7"
ShtNm2 = "Crnr11"
t1 = Timer
For j100 = 57 To 60
' Start Reading Data ShtNm2
Rcrd1a = Sheets(ShtNm2).Cells(j100, 123).Value
MC11 = Sheets(ShtNm2).Cells(j100, 122).Value
' Read Prime Numbers From Sheet ShtNm1
Pr3 = Sheets(ShtNm1).Cells(Rcrd1a, 1).Value 'PairSum
Cntr3 = Sheets(ShtNm1).Cells(Rcrd1a, 6).Value 'Center Element
s3 = 3 * Cntr3 'MC3
s5 = 5 * Cntr3 'MC5
s11 = 11 * Cntr3 'MC11
nVar = Sheets(ShtNm1).Cells(Rcrd1a, 9).Value
If nVar < 121 Then GoTo 1000
If MC11 <> s11 Then
y = MsgBox("Conflict in Data", vbCritical, "Read " + ShtNm2 + " " + CStr(j100))
End
End If
Erase b1
For j1 = 1 To nVar
x = Sheets(ShtNm1).Cells(Rcrd1a, 9 + j1).Value
b1(x) = x
Next j1
pMax = Sheets(ShtNm1).Cells(Rcrd1a, 9 + nVar).Value
' Read Semi Magic Corner Squares (3 x 3) and store in a11()
Erase a11
For i1 = 1 To 121
a(i1) = Sheets(ShtNm2).Cells(j100, i1).Value
a11(i1) = a(i1)
Next i1
n31 = 1: n32 = 121: GoSub 900 'Remove used primes from available primes
Erase a
' Restore available pairs in a1()
n10 = 0
For j1 = 1 To pMax
If b1(j1) <> 0 Then
n10 = n10 + 1
a1(n10) = b1(j1)
End If
Next j1
m1 = 1: m2 = n10: n10 = 0
If a1(1) = 1 Then m1 = 2: m2 = m2 - 1
' Generate 3 x 5 Magic Rectangles
t11 = Timer 'Time Out
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)
t12 = Timer: t13 = t12 - t11 'Time Out
If t13 > 100 Then Erase b, c: n3 = 0: n10 = 0: t11 = Timer: GoTo 150 'Time Out, Try Next j15
For j13 = m1 To m2 'a(13)
If b1(a1(j13)) = 0 Then GoTo 130
If b(a1(j13)) = 0 Then b(a1(j13)) = a1(j13): c(13) = a1(j13) Else GoTo 130
a(13) = a1(j13)
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) = s5 - a(12) - a(13) - a(14) - 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
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(5) = s3 - a(10) - a(15)
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 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(4) = s3 - a(9) - a(14)
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 j8 = m1 To m2 'a(8)
If b1(a1(j8)) = 0 Then GoTo 80
If b(a1(j8)) = 0 Then b(a1(j8)) = a1(j8): c(8) = a1(j8) Else GoTo 80
a(8) = a1(j8)
a(3) = s3 - a(8) - a(13)
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 j7 = m1 To m2 'a(7)
If b1(a1(j7)) = 0 Then GoTo 70
If b(a1(j7)) = 0 Then b(a1(j7)) = a1(j7): c(7) = a1(j7) Else GoTo 70
a(7) = a1(j7)
a(2) = s3 - a(7) - a(12)
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(6) = s5 - a(7) - a(8) - a(9) - 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
a(1) = s3 - a(6) - a(11)
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
n10 = n10 + 1
Select Case n10
Case 1:
a11(4) = a(1): a11(5) = a(2): a11(6) = a(3): a11(7) = a(4): a11(8) = a(5):
a11(15) = a(6): a11(16) = a(7): a11(17) = a(8): a11(18) = a(9): a11(19) = a(10):
a11(26) = a(11): a11(27) = a(12): a11(28) = a(13): a11(29) = a(14): a11(30) = a(15):
n31 = 1: n32 = 15: GoSub 900 'Remove used primes
Erase b, c: b(Cntr3) = Cntr3: GoTo 150
Case 2:
a11(42) = a(11): a11(43) = a(6): a11(44) = a(1):
a11(53) = a(12): a11(54) = a(7): a11(55) = a(2):
a11(64) = a(13): a11(65) = a(8): a11(66) = a(3):
a11(75) = a(14): a11(76) = a(9): a11(77) = a(4):
a11(86) = a(15): a11(87) = a(10): a11(88) = a(5):
n31 = 1: n32 = 15: GoSub 900 'Remove used primes
Erase b, c: b(Cntr3) = Cntr3: GoTo 150
Case 3:
a11(92) = a(1): a11(93) = a(2): a11(94) = a(3): a11(95) = a(4): a11(96) = a(5):
a11(103) = a(6): a11(104) = a(7): a11(105) = a(8): a11(106) = a(9): a11(107) = a(10):
a11(114) = a(11): a11(115) = a(12): a11(116) = a(13): a11(117) = a(14): a11(118) = a(15):
n31 = 1: n32 = 15: GoSub 900 'Remove used primes
Erase b, c: b(Cntr3) = Cntr3: GoTo 150
Case 4:
a11(34) = a(11): a11(35) = a(6): a11(36) = a(1):
a11(45) = a(12): a11(46) = a(7): a11(47) = a(2):
a11(56) = a(13): a11(57) = a(8): a11(58) = a(3):
a11(67) = a(14): a11(68) = a(9): a11(69) = a(4):
a11(78) = a(15): a11(79) = a(10): a11(80) = a(5):
GoSub 800: 'Back Check Identical Numbers a11()
If fl1 = 1 Then
n9 = n9 + 1: GoSub 1650 'Print results (squares)
' n9 = n9 + 1: GoSub 1640 'Print results (lines)
End If
Erase b1, b, c: GoTo 1000 'Continue with next Magic Sum
End Select
b(c(1)) = 0: c(1) = 0
10 b(c(6)) = 0: c(6) = 0
60 b(c(2)) = 0: c(2) = 0
20 b(c(7)) = 0: c(7) = 0
70 Next j7
b(c(3)) = 0: c(3) = 0
30 b(c(8)) = 0: c(8) = 0
80 Next j8
b(c(4)) = 0: c(4) = 0
40 b(c(9)) = 0: c(9) = 0
90 Next j9
b(c(5)) = 0: c(5) = 0
50 b(c(10)) = 0: c(10) = 0
100 Next j10
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 Next j13
b(c(14)) = 0: c(14) = 0
140 Next j14
b(c(15)) = 0: c(15) = 0
150 Next j15
n3 = 0: n10 = 0
Erase b1, b, c
1000 Next j100
t2 = Timer
t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions"
y = MsgBox(t10, 0, "Routine Priem11d2")
End
' Double Check Identical Numbers a11()
800 fl1 = 1
For i1 = 1 To 121
a20 = a11(i1): If a20 = 0 Then GoTo 810
For i2 = (1 + i1) To 121
If a20 = a11(i2) Then fl1 = 0: Return
Next i2
810 Next i1
Return
' Remove used pairs from b1()
900 For i1 = n31 To n32
b1(a(i1)) = 0
Next i1
Return
' Print results (lines)
1640 Cells(n9, 122).Select
For i1 = 1 To 121
Cells(n9, i1).Value = a11(i1)
Next i1
Cells(n9, 122).Value = s11
Cells(n9, 123).Value = Rcrd1a
Return
' Print results (squares)
1650 n2 = n2 + 1
If n2 = 2 Then
n2 = 1: k1 = k1 + 12: k2 = 1
Else
If n9 > 1 Then k2 = k2 + 12
End If
Cells(k1, k2 + 1).Select
Cells(k1, k2 + 1).Font.Color = -4165632
Cells(k1, k2 + 1).Value = "MC = " + CStr(s11)
i3 = 0
For i1 = 1 To 11
For i2 = 1 To 11
i3 = i3 + 1
Cells(k1 + i1, k2 + i2).Value = a11(i3)
Next i2
Next i1
Return
End Sub
