' Constructs 10 x 10 Concentric Magic Squares (Prime Numbers)
' Split Border Lines, Optimized for Sophie Germain Primes
' Tested with Office 2007 under Windows 7
Sub Priem10c()
Dim a1(2448), a(169), a10(100), b1(43300), b(43300), c(100)
y = MsgBox("Locked", vbCritical, "Routine Priem10c")
End
Sheets("Klad1").Select
n5 = 0: n9 = 0: k1 = 1: k2 = 1
ShtNm1 = "Pairs2"
ShtNm2 = "Lines8"
t1 = Timer
For j100 = 2 To 16
' Start Reading Data ShtNm2
Rcrd1a = Sheets(ShtNm2).Cells(j100, 66).Value
MC8 = Sheets(ShtNm2).Cells(j100, 65).Value
' Read Prime Numbers From Sheet ShtNm1
Pr3 = Sheets(ShtNm1).Cells(Rcrd1a, 1).Value 'PairSum
s1 = 5 * Pr3 / 2 'MC5
s8 = 4 * Pr3 'MC8
s10 = 5 * Pr3 'MC10
nVar = Sheets(ShtNm1).Cells(Rcrd1a, 9).Value
If nVar < 100 Then GoTo 1000
If MC8 <> s8 Then
y = MsgBox("Conflict in Data", vbCritical, "Read " + ShtNm2)
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 Eccentric Square 8 x 8
For i1 = 1 To 64
a(i1) = Sheets(ShtNm2).Cells(j100, i1).Value
Next i1
n32 = 64: GoSub 950 'Remove used primes from available primes
Erase a10
a10(12) = a(1): a10(13) = a(2): a10(14) = a(3): a10(15) = a(4):
a10(16) = a(5): a10(17) = a(6): a10(18) = a(7): a10(19) = a(8):
a10(22) = a(9): a10(23) = a(10): a10(24) = a(11): a10(25) = a(12):
a10(26) = a(13): a10(27) = a(14): a10(28) = a(15): a10(29) = a(16):
a10(32) = a(17): a10(33) = a(18): a10(34) = a(19): a10(35) = a(20):
a10(36) = a(21): a10(37) = a(22): a10(38) = a(23): a10(39) = a(24):
a10(42) = a(25): a10(43) = a(26): a10(44) = a(27): a10(45) = a(28):
a10(46) = a(29): a10(47) = a(30): a10(48) = a(31): a10(49) = a(32):
a10(52) = a(33): a10(53) = a(34): a10(54) = a(35): a10(55) = a(36):
a10(56) = a(37): a10(57) = a(38): a10(58) = a(39): a10(59) = a(40):
a10(62) = a(41): a10(63) = a(42): a10(64) = a(43): a10(65) = a(44):
a10(66) = a(45): a10(67) = a(46): a10(68) = a(47): a10(69) = a(48):
a10(72) = a(49): a10(73) = a(50): a10(74) = a(51): a10(75) = a(52):
a10(76) = a(53): a10(77) = a(54): a10(78) = a(55): a10(79) = a(56):
a10(82) = a(57): a10(83) = a(58): a10(84) = a(59): a10(85) = a(60):
a10(86) = a(61): a10(87) = a(62): a10(88) = a(63): a10(89) = a(64):
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
t11 = Timer 'Time Out
For j1 = m1 To m2
If b1(a1(j1)) = 0 Then GoTo 10
If b(a1(j1)) = 0 Then b(a1(j1)) = a1(j1): c(1) = a1(j1) Else GoTo 10
a(1) = a1(j1)
a(6) = Pr3 - a(1): If b(a(6)) = 0 Then b(a(6)) = a(6): c(6) = a(6) Else GoTo 60
For j2 = m1 To m2
If b1(a1(j2)) = 0 Then GoTo 20
If b(a1(j2)) = 0 Then b(a1(j2)) = a1(j2): c(2) = a1(j2) Else GoTo 20
a(2) = a1(j2)
t12 = Timer: t13 = t12 - t11 'Time Out
If t13 > 100 Then Erase b1, b, c: t11 = Timer: GoTo 1000 'Time Out, Try Next j100
a(7) = Pr3 - a(2): If b(a(7)) = 0 Then b(a(7)) = a(7): c(7) = a(7) Else GoTo 70
For j3 = m1 To m2
If b1(a1(j3)) = 0 Then GoTo 30
If b(a1(j3)) = 0 Then b(a1(j3)) = a1(j3): c(3) = a1(j3) Else GoTo 30
a(3) = a1(j3)
a(8) = Pr3 - a(3): If b(a(8)) = 0 Then b(a(8)) = a(8): c(8) = a(8) Else GoTo 80
For j4 = m1 To m2
If b1(a1(j4)) = 0 Then GoTo 40
If b(a1(j4)) = 0 Then b(a1(j4)) = a1(j4): c(4) = a1(j4) Else GoTo 40
a(4) = a1(j4)
a(9) = Pr3 - a(4): If b(a(9)) = 0 Then b(a(9)) = a(9): c(9) = a(9) Else GoTo 90
a(5) = s1 - a(4) - a(3) - a(2) - a(1)
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(10) = Pr3 - a(5): If b(a(10)) = 0 Then b(a(10)) = a(10): c(10) = a(10) Else GoTo 100
For j11 = m1 To m2
If b1(a1(j11)) = 0 Then GoTo 110
If b(a1(j11)) = 0 Then b(a1(j11)) = a1(j11): c(11) = a1(j11) Else GoTo 110
a(11) = a1(j11)
a(15) = Pr3 - a(11): If b(a(15)) = 0 Then b(a(15)) = a(15): c(15) = a(15) Else GoTo 150
For j12 = m1 To m2
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(16) = Pr3 - a(12): If b(a(16)) = 0 Then b(a(16)) = a(16): c(16) = a(16) Else GoTo 160
For j13 = m1 To m2
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)
a(17) = Pr3 - a(13): If b(a(17)) = 0 Then b(a(17)) = a(17): c(17) = a(17) Else GoTo 170
a(14) = s1 - a(13) - a(12) - a(11) - a(1)
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(18) = Pr3 - a(14): If b(a(18)) = 0 Then b(a(18)) = a(18): c(18) = a(18) Else GoTo 180
n10 = n10 + 1
If n10 = 1 Then
a10(6) = a(5): a10(7) = a(4): a10(8) = a(3): a10(9) = a(2): a10(10) = a(1):
a10(91) = a(6):
a10(96) = a(10): a10(97) = a(9): a10(98) = a(8): a10(99) = a(7):
a10(11) = a(15): a10(20) = a(11):
a10(21) = a(16): a10(30) = a(12):
a10(31) = a(17): a10(40) = a(13):
a10(41) = a(18): a10(50) = a(14):
n32 = 18: GoSub 950 'Remove used primes from available primes
Erase b, c: GoTo 10
Else
a10(1) = a(1): a10(2) = a(2): a10(3) = a(3): a10(4) = a(4): a10(5) = a(5):
a10(100) = a(6):
a10(92) = a(7): a10(93) = a(8): a10(94) = a(9): a10(95) = a(10):
a10(51) = a(11): a10(60) = a(15):
a10(61) = a(12): a10(70) = a(16):
a10(71) = a(13): a10(80) = a(17):
a10(81) = a(14): a10(90) = a(18):
GoSub 800: 'Back Check Identical Numbers a10()
If fl1 = 1 Then
n9 = n9 + 1: GoSub 1650 'Print results (squares)
End If
Erase b1, b, c: GoTo 1000
End If
b(c(18)) = 0: c(18) = 0
180 b(c(14)) = 0: c(14) = 0
140 b(c(17)) = 0: c(17) = 0
170 b(c(13)) = 0: c(13) = 0
130 Next j13
b(c(16)) = 0: c(16) = 0
160 b(c(12)) = 0: c(12) = 0
120 Next j12
b(c(15)) = 0: c(15) = 0
150 b(c(11)) = 0: c(11) = 0
110 Next j11
b(c(10)) = 0: c(10) = 0
100 b(c(5)) = 0: c(5) = 0
50 b(c(9)) = 0: c(9) = 0
90 b(c(4)) = 0: c(4) = 0
40 Next j4
b(c(8)) = 0: c(8) = 0
80 b(c(3)) = 0: c(3) = 0
30 Next j3
b(c(7)) = 0: c(7) = 0
70 b(c(2)) = 0: c(2) = 0
20 Next j2
b(c(6)) = 0: c(6) = 0
60 b(c(1)) = 0: c(1) = 0
10 Next j1
Erase b1, b, c
1000 Next j100
t2 = Timer
t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions"
y = MsgBox(t10, 0, "Routine Priem10c")
End
' 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
b1(Pr3 - a(i1)) = 0 'Complement (Non Sym Cntr Sqr)
Next i1
Return
' Print results (lines)
1640 Cells(n9, 100).Select
For i1 = 1 To 100
Cells(n9, i1).Value = a10(i1)
Next i1
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
