' Constructs 11 x 11 Eccentric Magic Squares for Prime Numbers (Part 1)
' Split Border Lines
' Tested with Office 2007 under Windows 7
Sub Priem11c1()
Dim a1(2448), a(121), a3(40), a11(121), b1(43300), b(43300), c(121)
y = MsgBox("Locked", vbCritical, "Routine Priem11c1")
End
Sheets("Klad1").Select
n5 = 0: n9 = 0: k1 = 1: k2 = 1: n3 = 0
ShtNm1 = "Pairs7"
ShtNm2 = "Lines9"
t1 = Timer
For j100 = 157 To 194
' 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 Eccentric 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
s112 = a(7) + a(15) + a(23) + a(31) + a(39) + a(47) + a(55)
Erase a11
a11(25) = a(1): a11(26) = a(2): a11(27) = a(3): a11(28) = a(4): a11(29) = a(5): a11(30) = a(6):
a11(31) = a(7): a11(32) = a(8): a11(33) = a(9):
a11(36) = a(10): a11(37) = a(11): a11(38) = a(12): a11(39) = a(13): a11(40) = a(14): a11(41) = a(15):
a11(42) = a(16): a11(43) = a(17): a11(44) = a(18):
a11(47) = a(19): a11(48) = a(20): a11(49) = a(21): a11(50) = a(22): a11(51) = a(23): a11(52) = a(24):
a11(53) = a(25): a11(54) = a(26): a11(55) = a(27):
a11(58) = a(28): a11(59) = a(29): a11(60) = a(30): a11(61) = a(31): a11(62) = a(32): a11(63) = a(33):
a11(64) = a(34): a11(65) = a(35): a11(66) = a(36):
a11(69) = a(37): a11(70) = a(38): a11(71) = a(39): a11(72) = a(40): a11(73) = a(41): a11(74) = a(42):
a11(75) = a(43): a11(76) = a(44): a11(77) = a(45):
a11(80) = a(46): a11(81) = a(47): a11(82) = a(48): a11(83) = a(49): a11(84) = a(50): a11(85) = a(51):
a11(86) = a(52): a11(87) = a(53): a11(88) = a(54):
a11(91) = a(55): a11(92) = a(56): a11(93) = a(57): a11(94) = a(58): a11(95) = a(59): a11(96) = a(60):
a11(97) = a(61): a11(98) = a(62): a11(99) = a(63):
a11(102) = a(64): a11(103) = a(65): a11(104) = a(66): a11(105) = a(67): a11(106) = a(68): a11(107) = a(69):
a11(108) = a(70): a11(109) = a(71): a11(110) = a(72):
a11(113) = a(73): a11(114) = a(74): a11(115) = a(75): a11(116) = a(76): a11(117) = a(77): a11(118) = a(78):
a11(119) = a(79): a11(120) = a(80): a11(121) = 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
' Determine Main Diagonal and related pairs
For j1 = m1 To m2
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 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 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) = (s11 - s112) - 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 'a(9)
If b(a1(j9)) = 0 Then b(a1(j9)) = a1(j9): c(9) = a1(j9) Else GoTo 90
a(9) = a1(j9)
a(13) = Pr3 - a(9): If b(a(13)) = 0 Then b(a(13)) = a(13): c(13) = a(13) Else GoTo 130
a(10) = s4 - a(1) - a(6) - a(9)
If a(10) < a1(m1) Or a(10) > a1(m2) Then GoTo 100:
If b1(a(10)) = 0 Then GoTo 100
If b(a(10)) = 0 Then b(a(10)) = a(10): c(10) = a(10) Else GoTo 100
a(14) = Pr3 - a(10): If b(a(14)) = 0 Then b(a(14)) = a(14): c(14) = a(14) Else GoTo 140
For j12 = m1 To m2
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
a(11) = s4 - a(4) - a(7) - a(12)
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(15) = Pr3 - a(11): If b(a(15)) = 0 Then b(a(15)) = a(15): c(15) = a(15) Else GoTo 150
a11(8) = a(10): a11(9) = a(9): a11(10) = a(6): a11(11) = a(1):
a11(19) = a(14): a11(20) = a(13): a11(21) = a(2): a11(22) = a(5):
a11(78) = a(11): a11(79) = a(15):
a11(89) = a(12): a11(90) = a(16):
a11(100) = a(7): a11(101) = a(3):
a11(111) = a(4): a11(112) = a(8):
GoSub 800: If fl1 = 0 Then GoTo 5 'Double Check Identical Numbers a11()
n9 = n9 + 1
' GoSub 1650 'Print results (squares)
GoSub 1640 'Print results (selected numbers)
Erase b1, b, c: GoTo 1000 'Print only first square
5 b(c(15)) = 0: c(15) = 0
150 b(c(11)) = 0: c(11) = 0
110 b(c(16)) = 0: c(16) = 0
160 b(c(12)) = 0: c(12) = 0
120 Next j12
b(c(14)) = 0: c(14) = 0
140 b(c(10)) = 0: c(10) = 0
100 b(c(13)) = 0: c(13) = 0
130 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
Erase b1, b, c
1000 Next j100
t2 = Timer
t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions"
y = MsgBox(t10, 0, "Routine Priem11c1")
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
b1(Pr3 - a(i1)) = 0 'For Non Symmetrcal Embedded Squares
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
Sheets(ShtNm2).Cells(j100, 85).Value = "ok"
Return
End Sub
