' Constructs 11 x 11 Concentric Magic Squares (Prime Numbers)
' Split Border Lines
' Tested with Office 2007 under Windows 7
Sub Priem11a()
Dim a1(2448), a(121), a3(40), a11(121), b1(43300), b(43300), c(121)
y = MsgBox("Locked", vbCritical, "Routine Priem11a")
End
Sheets("Klad1").Select
n5 = 0: n9 = 0: k1 = 1: k2 = 1: n3 = 0
ShtNm1 = "Pairs7"
ShtNm2 = "Lines9"
t1 = Timer
For j100 = 196 To 219
' Start Reading Data ShtNm2
Rcrd1a = Sheets(ShtNm2).Cells(j100, 83).Value
MC9 = Sheets(ShtNm2).Cells(j100, 82).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
s4 = 4 * Cntr3 'MC4
s9 = 9 * Cntr3 'MC9
s11 = 11 * Cntr3 'MC11
nVar = Sheets(ShtNm1).Cells(Rcrd1a, 9).Value
If nVar < 121 Then GoTo 1000
If MC9 <> s9 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 Concentric Square 9 x 9
For i1 = 1 To 81
a(i1) = Sheets(ShtNm2).Cells(j100, i1).Value
Next i1
n31 = 1: n32 = 81: GoSub 900 'Remove used primes from available primes
Erase a11
a11(13) = a(1): a11(14) = a(2): a11(15) = a(3): a11(16) = a(4): a11(17) = a(5): a11(18) = a(6): a11(19) = a(7):
a11(20) = a(8): a11(21) = a(9):
a11(24) = a(10): a11(25) = a(11): a11(26) = a(12): a11(27) = a(13): a11(28) = a(14): a11(29) = a(15): a11(30) = a(16):
a11(31) = a(17): a11(32) = a(18):
a11(35) = a(19): a11(36) = a(20): a11(37) = a(21): a11(38) = a(22): a11(39) = a(23): a11(40) = a(24): a11(41) = a(25):
a11(42) = a(26): a11(43) = a(27):
a11(46) = a(28): a11(47) = a(29): a11(48) = a(30): a11(49) = a(31): a11(50) = a(32): a11(51) = a(33): a11(52) = a(34):
a11(53) = a(35): a11(54) = a(36):
a11(57) = a(37): a11(58) = a(38): a11(59) = a(39): a11(60) = a(40): a11(61) = a(41): a11(62) = a(42): a11(63) = a(43):
a11(64) = a(44): a11(65) = a(45):
a11(68) = a(46): a11(69) = a(47): a11(70) = a(48): a11(71) = a(49): a11(72) = a(50): a11(73) = a(51): a11(74) = a(52):
a11(75) = a(53): a11(76) = a(54):
a11(79) = a(55): a11(80) = a(56): a11(81) = a(57): a11(82) = a(58): a11(83) = a(59): a11(84) = a(60): a11(85) = a(61):
a11(86) = a(62): a11(87) = a(63):
a11(90) = a(64): a11(91) = a(65): a11(92) = a(66): a11(93) = a(67): a11(94) = a(68): a11(95) = a(69): a11(96) = a(70):
a11(97) = a(71): a11(98) = a(72):
a11(101) = a(73): a11(102) = a(74): a11(103) = a(75): a11(104) = a(76): a11(105) = a(77): a11(106) = a(78): a11(107) = a(79):
a11(108) = a(80): a11(109) = a(81):
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 Border
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(5) = Pr3 - a(1): If b(a(5)) = 0 Then b(a(5)) = a(5): c(5) = a(5) Else GoTo 50
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)
a(6) = Pr3 - a(2): If b(a(6)) = 0 Then b(a(6)) = a(6): c(6) = a(6) Else GoTo 60
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(7) = Pr3 - a(3): If b(a(7)) = 0 Then b(a(7)) = a(7): c(7) = a(7) Else GoTo 70
a(4) = s4 - a(3) - a(2) - a(1)
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(8) = Pr3 - a(4): If b(a(8)) = 0 Then b(a(8)) = a(8): c(8) = a(8) Else GoTo 80
For j9 = m1 To m2
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(12) = Pr3 - a(9): If b(a(12)) = 0 Then b(a(12)) = a(12): c(12) = a(12) Else GoTo 120
For j10 = m1 To m2
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(13) = Pr3 - a(10): If b(a(13)) = 0 Then b(a(13)) = a(13): c(13) = a(13) Else GoTo 130
a(11) = s4 - a(10) - a(9) - a(1)
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(14) = Pr3 - a(11): If b(a(14)) = 0 Then b(a(14)) = a(14): c(14) = a(14) Else GoTo 140
n10 = n10 + 1
If n10 = 1 Then
a11(1) = a(1): a11(2) = a(2): a11(3) = a(3): a11(4) = a(4):
a11(112) = a(6): a11(113) = a(7): a11(114) = a(8): a11(121) = a(5):
a11(12) = a(9): a11(22) = a(12):
a11(23) = a(10): a11(33) = a(13):
a11(34) = a(11): a11(44) = a(14):
n31 = 1: n32 = 14: GoSub 950 'Remove used primes and store in a3()
Erase b, c: GoTo 10
Else
a11(8) = a(4): a11(9) = a(3): a11(10) = a(2): a11(11) = a(1):
a11(111) = a(5): a11(118) = a(8): a11(119) = a(7): a11(120) = a(6):
a11(78) = a(12): a11(88) = a(9):
a11(89) = a(13): a11(99) = a(10):
a11(100) = a(14): a11(110) = a(11):
n31 = 1: n32 = 14: GoSub 950 'Remove used primes and store in a3()
Erase b, c: GoSub 2000 'Complete Border with remaining segments (3 x 1)
If fl1 = 1 Then
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 a3: n3 = 0: n10 = 0
Erase b1, b, c: GoTo 1000 'Continue with next Magic Sum
Else
GoSub 955 'Reassign removed primes and continue
Erase b, c: GoTo 10
End If
End If
b(c(14)) = 0: c(14) = 0
140 b(c(11)) = 0: c(11) = 0
110 b(c(13)) = 0: c(13) = 0
130 b(c(10)) = 0: c(10) = 0
100 Next j10
b(c(12)) = 0: c(12) = 0
120 b(c(9)) = 0: c(9) = 0
90 Next j9
b(c(8)) = 0: c(8) = 0
80 b(c(4)) = 0: c(4) = 0
40 b(c(7)) = 0: c(7) = 0
70 b(c(3)) = 0: c(3) = 0
30 Next j3
b(c(6)) = 0: c(6) = 0
60 b(c(2)) = 0: c(2) = 0
20 Next j2
b(c(5)) = 0: c(5) = 0
50 b(c(1)) = 0: c(1) = 0
10 Next j1
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 Priem11a")
End
' Complete Border with remaining segments (3 x 1)
2000 fl1 = 1
For j15 = m1 To m2
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)
a(18) = Pr3 - a(15): If b(a(18)) = 0 Then b(a(18)) = a(18): c(18) = a(18) Else GoTo 180
For j16 = m1 To m2
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(19) = Pr3 - a(16): If b(a(19)) = 0 Then b(a(19)) = a(19): c(19) = a(19) Else GoTo 190
a(17) = s3 - a(16) - a(15)
If a(17) < a1(m1) Or a(17) > a1(m2) Then GoTo 170:
If b1(a(17)) = 0 Then GoTo 170
If b(a(17)) = 0 Then b(a(17)) = a(17): c(17) = a(17) Else GoTo 170
a(20) = Pr3 - a(17): If b(a(20)) = 0 Then b(a(20)) = a(20): c(20) = a(20) Else GoTo 200
n10 = n10 + 1
If n10 = 3 Then
a11(5) = a(15): a11(6) = a(16): a11(7) = a(17):
a11(115) = a(18): a11(116) = a(19): a11(117) = a(20):
n31 = 15: n32 = 20: GoSub 950 'Remove used primes and store in a3()
Erase b, c: GoTo 150
Else
a11(45) = a(15): a11(55) = a(18):
a11(56) = a(16): a11(66) = a(19):
a11(67) = a(17): a11(77) = a(20):
Return
End If
b(c(20)) = 0: c(20) = 0
200 b(c(17)) = 0: c(17) = 0
170 b(c(19)) = 0: c(19) = 0
190 b(c(16)) = 0: c(16) = 0
160 Next j16
b(c(18)) = 0: c(18) = 0
180 b(c(15)) = 0: c(15) = 0
150 Next j15
fl1 = 0
Return
' 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
b1(Pr3 - a(i1)) = 0 'For Non Symmetrcal Embedded Squares
Next i1
Return
' Remove used pairs from b1()
' Store used primes temporarely in a3()
950 For i1 = n31 To n32
b1(a(i1)) = 0
n3 = n3 + 1: a3(n3) = a(i1)
Next i1
Return
' Reassign primes a3() to available primes b1()
955 For i1 = 1 To n3
b1(a3(i1)) = a3(i1)
Next i1
Erase a3: n3 = 0: n10 = 0
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
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
