' Constructs 11 x 11 Composed Magic Squares (Part 1)
' Associated Magic Corner Squares and - Rectangles
' Tested with Office 2007 under Windows 7
Sub Prime11c1()
Dim a1(121), a(121), a11(121), b1(121), b(121), c(121)
y = MsgBox("Locked", vbCritical, "Routine Prime11c1")
End
Sheets("Klad1").Select
n5 = 0: n9 = 0: k1 = 1: k2 = 1
ShtNm2 = "Lines5"
t1 = Timer
Pr3 = 122: Cntr3 = 61
s5 = 5 * Cntr3 'MC5
s6 = 3 * Pr3 'MC6
s11 = 11 * Cntr3 'MC11
nVar1 = 121
For j101 = 2 To 121
' Redefine variables
Erase b1
For j1 = 1 To nVar1
a1(j1) = j1: b1(j1) = j1
Next j1
pMax = 121
' Read Corner Square 5 x 5
For i1 = 1 To 25
a(i1) = Sheets(ShtNm2).Cells(j101, i1).Value
Next i1
n10 = 0: n53 = 25: GoSub 910 'Remove used integers from available integers
Erase a11
a11(1) = a(1): a11(2) = a(2): a11(3) = a(3): a11(4) = a(4): a11(5) = a(5):
a11(12) = a(6): a11(13) = a(7): a11(14) = a(8): a11(15) = a(9): a11(16) = a(10):
a11(23) = a(11): a11(24) = a(12): a11(25) = a(13): a11(26) = a(14): a11(27) = a(15):
a11(34) = a(16): a11(35) = a(17): a11(36) = a(18): a11(37) = a(19): a11(38) = a(20):
a11(45) = a(21): a11(46) = a(22): a11(47) = a(23): a11(48) = a(24): a11(49) = a(25):
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
' Generate Border Sections 5 x 6 (2 ea)
1200 n10 = 0 'Continue
b(Cntr3) = Cntr3 'Block Center Element
For j30 = m1 To m2 / 2 'a(30)
If b1(a1(j30)) = 0 Then GoTo 300
If b(a1(j30)) = 0 Then b(a1(j30)) = a1(j30): c(30) = a1(j30) Else GoTo 300
a(30) = a1(j30)
a(1) = Pr3 - a(30): If b(a(1)) = 0 Then b(a(1)) = a(1): c(1) = a(1) Else GoTo 10
For j29 = m1 To m2 'a(29)
If b1(a1(j29)) = 0 Then GoTo 290
If b(a1(j29)) = 0 Then b(a1(j29)) = a1(j29): c(29) = a1(j29) Else GoTo 290
a(29) = a1(j29)
a(28) = s6 / 2 - a(29) - a(30)
If a(28) < a1(m1) Or a(28) > a1(m2) Then GoTo 280
If b1(a(28)) = 0 Then GoTo 280
If b(a(28)) = 0 Then b(a(28)) = a(28): c(28) = a(28) Else GoTo 280
a(3) = Pr3 - a(28): If b(a(3)) = 0 Then b(a(3)) = a(3): c(3) = a(3) Else GoTo 30
a(2) = Pr3 - a(29): If b(a(2)) = 0 Then b(a(2)) = a(2): c(2) = a(2) Else GoTo 20
For j27 = m1 To m2 'a(27)
If b1(a1(j27)) = 0 Then GoTo 270
If b(a1(j27)) = 0 Then b(a1(j27)) = a1(j27): c(27) = a1(j27) Else GoTo 270
a(27) = a1(j27)
a(4) = Pr3 - a(27): If b(a(4)) = 0 Then b(a(4)) = a(4): c(4) = a(4) Else GoTo 40
For j26 = m1 To m2 'a(26)
If b1(a1(j26)) = 0 Then GoTo 260
If b(a1(j26)) = 0 Then b(a1(j26)) = a1(j26): c(26) = a1(j26) Else GoTo 260
a(26) = a1(j26)
a(25) = s6 - a(26) - a(27) - a(28) - a(29) - a(30)
If a(25) < a1(m1) Or a(25) > a1(m2) Then GoTo 250
If b1(a(25)) = 0 Then GoTo 250
If b(a(25)) = 0 Then b(a(25)) = a(25): c(25) = a(25) Else GoTo 250
a(6) = Pr3 - a(25): If b(a(6)) = 0 Then b(a(6)) = a(6): c(6) = a(6) Else GoTo 60
a(5) = Pr3 - a(26): If b(a(5)) = 0 Then b(a(5)) = a(5): c(5) = a(5) Else GoTo 50
For j24 = m1 To m2 'a(24)
If b1(a1(j24)) = 0 Then GoTo 240
If b(a1(j24)) = 0 Then b(a1(j24)) = a1(j24): c(24) = a1(j24) Else GoTo 240
a(24) = a1(j24)
a(7) = Pr3 - a(24): If b(a(7)) = 0 Then b(a(7)) = a(7): c(7) = a(7) Else GoTo 70
For j23 = m1 To m2 'a(23)
If b1(a1(j23)) = 0 Then GoTo 230
If b(a1(j23)) = 0 Then b(a1(j23)) = a1(j23): c(23) = a1(j23) Else GoTo 230
a(23) = a1(j23)
a(22) = s6 / 2 - a(23) - a(24)
If a(22) < a1(m1) Or a(22) > a1(m2) Then GoTo 220
If b1(a(22)) = 0 Then GoTo 220
If b(a(22)) = 0 Then b(a(22)) = a(22): c(22) = a(22) Else GoTo 220
a(9) = Pr3 - a(22): If b(a(9)) = 0 Then b(a(9)) = a(9): c(9) = a(9) Else GoTo 90
a(8) = Pr3 - a(23): If b(a(8)) = 0 Then b(a(8)) = a(8): c(8) = a(8) Else GoTo 80
For j21 = m1 To m2 'a(21)
If b1(a1(j21)) = 0 Then GoTo 210
If b(a1(j21)) = 0 Then b(a1(j21)) = a1(j21): c(21) = a1(j21) Else GoTo 210
a(21) = a1(j21)
a(10) = Pr3 - a(21): If b(a(10)) = 0 Then b(a(10)) = a(10): c(10) = a(10) Else GoTo 100
For j20 = m1 To m2 'a(20)
If b1(a1(j20)) = 0 Then GoTo 200
If b(a1(j20)) = 0 Then b(a1(j20)) = a1(j20): c(20) = a1(j20) Else GoTo 200
a(20) = a1(j20)
a(19) = s6 - a(20) - a(21) - a(22) - a(23) - a(24)
If a(19) < a1(m1) Or a(19) > a1(m2) Then GoTo 190
If b1(a(19)) = 0 Then GoTo 190
If b(a(19)) = 0 Then b(a(19)) = a(19): c(19) = a(19) Else GoTo 190
a(18) = 4 * s6 / 6 - a(20) - a(21) - a(24) + a(25) - a(30)
If a(18) < a1(m1) Or a(18) > a1(m2) Then GoTo 180
If b1(a(18)) = 0 Then GoTo 180
If b(a(18)) = 0 Then b(a(18)) = a(18): c(18) = a(18) Else GoTo 180
a(17) = s6 / 6 + a(20) - a(23) + a(26) - a(29)
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(16) = -2 * s6 / 6 + a(21) + a(23) + a(24) + a(27) - a(28)
If a(16) < a1(m1) Or a(16) > a1(m2) Then GoTo 160
If b1(a(16)) = 0 Then GoTo 160
If b(a(16)) = 0 Then b(a(16)) = a(16): c(16) = a(16) Else GoTo 160
a(15) = Pr3 - a(16): If b(a(15)) = 0 Then b(a(15)) = a(15): c(15) = a(15) Else GoTo 150
a(14) = Pr3 - a(17): If b(a(14)) = 0 Then b(a(14)) = a(14): c(14) = a(14) Else GoTo 140
a(13) = Pr3 - a(18): If b(a(13)) = 0 Then b(a(13)) = a(13): c(13) = a(13) Else GoTo 130
a(12) = Pr3 - a(19): If b(a(12)) = 0 Then b(a(12)) = a(12): c(12) = a(12) Else GoTo 120
a(11) = Pr3 - a(20): If b(a(11)) = 0 Then b(a(11)) = a(11): c(11) = a(11) Else GoTo 110
If n10 = 1 Then
a11(61) = s11 - a(6) - a(11) - a(16) - a(21) - a(26) - a11(51) - a11(41) - a11(31) - a11(21) - a11(11)
If a11(61) < a1(m1) Or a11(61) > a1(m2) Then GoTo 5:
If b1(a11(61)) = 0 Then GoTo 5
If b(a11(61)) <> 0 Then GoTo 5
End If
n10 = n10 + 1
If n10 = 1 Then
a11(6) = a(1): a11(7) = a(2): a11(8) = a(3): a11(9) = a(4): a11(10) = a(5): a11(11) = a(6):
a11(17) = a(7): a11(18) = a(8): a11(19) = a(9): a11(20) = a(10): a11(21) = a(11): a11(22) = a(12):
a11(28) = a(13): a11(29) = a(14): a11(30) = a(15): a11(31) = a(16): a11(32) = a(17): a11(33) = a(18):
a11(39) = a(19): a11(40) = a(20): a11(41) = a(21): a11(42) = a(22): a11(43) = a(23): a11(44) = a(24):
a11(50) = a(25): a11(51) = a(26): a11(52) = a(27): a11(53) = a(28): a11(54) = a(29): a11(55) = a(30):
n53 = 30: GoSub 910 'Remove used integers a() from available integers b1()
Erase b, c: GoTo 300
Else
a11(56) = a(1): a11(57) = a(7): a11(58) = a(13): a11(59) = a(19): a11(60) = a(25):
a11(67) = a(2): a11(68) = a(8): a11(69) = a(14): a11(70) = a(20): a11(71) = a(26):
a11(78) = a(3): a11(79) = a(9): a11(80) = a(15): a11(81) = a(21): a11(82) = a(27):
a11(89) = a(4): a11(90) = a(10): a11(91) = a(16): a11(92) = a(22): a11(93) = a(28):
a11(100) = a(5): a11(101) = a(11): a11(102) = a(17): a11(103) = a(23): a11(104) = a(29):
a11(111) = a(6): a11(112) = a(12): a11(113) = a(18): a11(114) = a(24): a11(115) = a(30):
GoSub 800 'Double Check Identical Integers a11()
If fl1 = 1 Then
n9 = n9 + 1: GoSub 650 'Print Composed Squares a11()
End If
Erase b1, b, c: GoTo 1000 'Print only first square
End If
5
b(c(11)) = 0: c(11) = 0
110 b(c(12)) = 0: c(12) = 0
120 b(c(13)) = 0: c(13) = 0
130 b(c(14)) = 0: c(14) = 0
140 b(c(15)) = 0: c(15) = 0
150 b(c(16)) = 0: c(16) = 0
160 b(c(17)) = 0: c(17) = 0
170 b(c(18)) = 0: c(18) = 0
180 b(c(19)) = 0: c(19) = 0
190 b(c(20)) = 0: c(20) = 0
200 Next j20
b(c(10)) = 0: c(10) = 0
100 b(c(21)) = 0: c(21) = 0
210 Next j21
b(c(8)) = 0: c(8) = 0
80 b(c(9)) = 0: c(9) = 0
90 b(c(22)) = 0: c(22) = 0
220 b(c(23)) = 0: c(23) = 0
230 Next j23
b(c(7)) = 0: c(7) = 0
70 b(c(24)) = 0: c(24) = 0
240 Next j24
b(c(5)) = 0: c(5) = 0
50 b(c(6)) = 0: c(6) = 0
60 b(c(25)) = 0: c(25) = 0
250 b(c(26)) = 0: c(26) = 0
260 Next j26
b(c(4)) = 0: c(4) = 0
40 b(c(27)) = 0: c(27) = 0
270 Next j27
b(c(2)) = 0: c(2) = 0
20 b(c(3)) = 0: c(3) = 0
30 b(c(28)) = 0: c(28) = 0
280 b(c(29)) = 0: c(29) = 0
290 Next j29
b(c(1)) = 0: c(1) = 0
10 b(c(30)) = 0: c(30) = 0
300 Next j30
Erase b1, b, c
1000 Next j101
t2 = Timer
t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions"
y = MsgBox(t10, 0, "Routine Prime11c1")
End
' Print results (squares)
650 n5 = n5 + 1
If n5 = 3 Then
n5 = 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 = n9
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
' 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 integers a() from available integers b1()
910 For i1 = 1 To n53
b1(a(i1)) = 0
Next i1
Return
End Sub
