' Constructs 10 x 10 Borders for 6 x 6 Center Squares (Prime Numbers)
' Split Border Lines
' Tested with Office 2007 under Windows 7
Sub Priem10e1()
Dim a1(2448), a(169), a10(100), b1(43300), b(43300), c(100)
y = MsgBox("Locked", vbCritical, "Routine Priem10e1")
End
Sheets("Klad1").Select
n5 = 0: n9 = 0: k1 = 1: k2 = 1
ShtNm1 = "Pairs8"
t1 = Timer
For j100 = 362 To 7958
Rcrd1a = j100
' Read Prime Numbers From Sheet ShtNm1
Pr3 = Sheets(ShtNm1).Cells(Rcrd1a, 1).Value
Cntr3 = Pr3 / 2 'Center Elment (Hypothetical)
s1 = 3 * Cntr3 'MC3
s4 = 2 * Pr3 'MC4
s10 = 5 * Pr3 'MC10
nVar = Sheets(ShtNm1).Cells(Rcrd1a, 5).Value
If nVar < 100 Then GoTo 1000
Erase b1
For j1 = 1 To nVar
x = Sheets(ShtNm1).Cells(Rcrd1a, 6 + j1).Value
b1(x) = x
Next j1
' 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
' Determine Corner Squares and Border Sections 2 x 4
GoSub 2000 'Determine 4 Corner Squares
If n10 < 4 Then GoTo 910
GoSub 3000 'Determine 4 Border Sections
If n10 < 8 Then GoTo 910
GoSub 800 'Double Check Identical Integers a9()
If fl1 = 1 Then
n9 = n9 + 1: GoSub 1640 'Print results (lines)
' n9 = n9 + 1: GoSub 1650 'Print results (squares)
End If
910 Erase b1, b, c
1000 Next j100
t2 = Timer
t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions"
y = MsgBox(t10, 0, "Routine Priem10e1")
End
' Determine Corner Squares 3 x 3
2000 fl1 = 1
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)
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(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
a(6) = 4 * s1 / 3 - a(8) - 2 * a(9):
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 / 3:
If a(5) < a1(m1) Or a(5) > a1(m2) Then GoTo 50:
''If b1(a(5)) = 0 Then GoTo 50 'Might be Non Prime
If b(a(5)) = 0 Then b(a(5)) = a(5): c(5) = a(5) Else GoTo 50
a(4) = -2 * s1 / 3 + 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 / 3 + a(8) + a(9):
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) = 2 * s1 / 3 - a(8):
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 / 3 - a(9):
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:
a10(1) = a(9): a10(2) = a(7): a10(3) = a(8):
a10(11) = a(3): a10(12) = a(1): a10(13) = a(2):
a10(21) = a(6): a10(22) = a(4):
n32 = 9: GoSub 950 'Remove used pairs from b1()
Erase b, c: GoTo 90
Case 2:
a10(8) = a(8): a10(9) = a(9): a10(10) = a(7):
a10(18) = a(2): a10(19) = a(3): a10(20) = a(1):
a10(29) = a(6): a10(30) = a(4):
n32 = 9: GoSub 950 'Remove used pairs from b1()
Erase b, c: GoTo 90
Case 3:
a10(79) = a(6): a10(80) = a(4):
a10(88) = a(8): a10(89) = a(9): a10(90) = a(7):
a10(98) = a(2): a10(99) = a(3): a10(100) = a(1):
n32 = 9: GoSub 950 'Remove used pairs from b1()
Erase b, c: GoTo 90
Case 4:
a10(71) = a(6): a10(72) = a(4):
a10(81) = a(9): a10(82) = a(7): a10(83) = a(8):
a10(91) = a(3): a10(92) = a(1): a10(93) = a(2):
n32 = 9: GoSub 950 'Remove used pairs from b1()
Erase b, c: Return
End Select
5 b(c(1)) = 0: c(1) = 0
10 b(c(2)) = 0: c(2) = 0
20 b(c(3)) = 0: c(2) = 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 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
fl1 = 0
Return
' Determine Border Sections 2 x 4
3000 fl1 = 1
For j1 = m1 To m2 'a(1)
If b1(a1(j1)) = 0 Then GoTo 3010
If b(a1(j1)) = 0 Then b(a1(j1)) = a1(j1): c(1) = a1(j1) Else GoTo 3010
a(1) = a1(j1)
a(5) = Pr3 - a(1): If b(a(5)) = 0 Then b(a(5)) = a(5): c(5) = a(5) Else GoTo 3050
For j2 = m1 To m2 'a(2)
If b1(a1(j2)) = 0 Then GoTo 3020
If b(a1(j2)) = 0 Then b(a1(j2)) = a1(j2): c(2) = a1(j2) Else GoTo 3020
a(2) = a1(j2)
a(6) = Pr3 - a(2): If b(a(6)) = 0 Then b(a(6)) = a(6): c(6) = a(6) Else GoTo 3060
For j3 = m1 To m2 'a(3)
If b1(a1(j3)) = 0 Then GoTo 3030
If b(a1(j3)) = 0 Then b(a1(j3)) = a1(j3): c(3) = a1(j3) Else GoTo 3030
a(3) = a1(j3)
a(7) = Pr3 - a(3): If b(a(7)) = 0 Then b(a(7)) = a(7): c(7) = a(7) Else GoTo 3070
a(4) = s4 - a(3) - a(2) - a(1)
If a(4) < a1(m1) Or a(4) > a1(m2) Then GoTo 3040
If b1(a(4)) = 0 Then GoTo 3040
If b(a(4)) = 0 Then b(a(4)) = a(4): c(4) = a(4) Else GoTo 3040
a(8) = Pr3 - a(4): If b(a(8)) = 0 Then b(a(8)) = a(8): c(8) = a(8) Else GoTo 3080
n10 = n10 + 1
Select Case n10
Case 5:
a10(4) = a(1): a10(5) = a(2): a10(6) = a(3): a10(7) = a(4):
a10(14) = a(5): a10(15) = a(6): a10(16) = a(7): a10(17) = a(8):
n32 = 8: GoSub 950 'Remove used pairs from b1()
Erase b, c: GoTo 3010
Case 6:
a10(39) = a(1): a10(40) = a(5):
a10(49) = a(2): a10(50) = a(6):
a10(59) = a(3): a10(60) = a(7):
a10(69) = a(4): a10(70) = a(8):
n32 = 8: GoSub 950 'Remove used pairs from b1()
Erase b, c: GoTo 3010
Case 7:
a10(84) = a(1): a10(85) = a(2): a10(86) = a(3): a10(87) = a(4):
a10(94) = a(5): a10(95) = a(6): a10(96) = a(7): a10(97) = a(8):
n32 = 8: GoSub 950 'Remove used pairs from b1()
Erase b, c: GoTo 3010
Case 8:
a10(31) = a(1): a10(32) = a(5):
a10(41) = a(2): a10(42) = a(6):
a10(51) = a(3): a10(52) = a(7):
a10(61) = a(4): a10(62) = a(8):
n32 = 8: GoSub 950 'Remove used pairs from b1()
Erase b, c: Return
End Select
b(c(8)) = 0: c(8) = 0
3080 b(c(4)) = 0: c(4) = 0
3040 b(c(7)) = 0: c(7) = 0
3070 b(c(3)) = 0: c(3) = 0
3030 Next j3
b(c(6)) = 0: c(6) = 0
3060 b(c(2)) = 0: c(2) = 0
3020 Next j2
b(c(5)) = 0: c(5) = 0
3050 b(c(1)) = 0: c(1) = 0
3010 Next j1
fl1 = 0
Return
' Double Check Identical Numbers a10()
800 fl1 = 1
For i1 = 1 To 100
a20 = a10(i1): If a20 = 0 Then GoTo 810
For i2 = (1 + i1) To 100
If a20 = a10(i2) Then fl1 = 0: Return
Next i2
810 Next i1
Return
' Remove used pairs from b1()
950 For i1 = 1 To n32
b1(a(i1)) = 0
Next i1
Return
' Print results (lines)
1640 Cells(n9, 1).Select
For i1 = 1 To 100
Cells(n9, i1).Value = a10(i1)
Next i1
Cells(n9, 101).Value = s10 'MC10
Cells(n9, 102).Value = Rcrd1a 'Record
Return
' Print results (squares)
1650 n2 = n2 + 1
If n2 = 3 Then
n2 = 1: k1 = k1 + 11: k2 = 1
Else
If n9 > 1 Then k2 = k2 + 11
End If
Cells(k1, k2 + 1).Select
Cells(k1, k2 + 1).Font.Color = -4165632
Cells(k1, k2 + 1).Value = "MC = " + CStr(s10)
i3 = 0
For i1 = 1 To 10
For i2 = 1 To 10
i3 = i3 + 1
Cells(k1 + i1, k2 + i2).Value = a10(i3)
Next i2
Next i1
Return
End Sub
