' Constructs Composed Magic Squares of Order 11
' Tested with Office 2007 under Windows 7
Sub MgcSqr11()
Dim a1(121), a(64), a11(121), b1(121), b(121), c(64), Crnr3(2)
y = MsgBox("Locked", vbCritical, "Routine MgcSqr11")
End
Sheets("Klad1").Select
n5 = 0: n9 = 0: k1 = 1: k2 = 1
t1 = Timer
For j100 = 2 To 851 ''765 To 851
Cells(k1, 1).Select: Cells(k1, 1).Value = j100
GoSub 2010 'Redefine Integers
' Read Center Square (3 x 3)
For i1 = 1 To 9
a(i1) = Sheets("Lines3a").Cells(j100, i1).Value
Next i1
' Store in a11()
a11(89) = a(6): a11(90) = a(4): a11(91) = a(5):
a11(100) = a(9): a11(101) = a(7): a11(102) = a(8):
a11(111) = a(3): a11(112) = a(1): a11(113) = a(2):
n32 = 9: GoSub 900 'Remove used integers from available integers
' Generate Ultra Magic Square 5 x 5
GoSub 5000: If fl1 = 0 Then GoTo 1000
a11(47) = a(18): a11(48) = a(19): a11(49) = a(20): a11(50) = a(16): a11(51) = a(17):
a11(58) = a(23): a11(59) = a(24): a11(60) = a(25): a11(61) = a(21): a11(62) = a(22):
a11(69) = a(3): a11(70) = a(4): a11(71) = a(5): a11(72) = a(1): a11(73) = a(2):
a11(80) = a(8): a11(81) = a(9): a11(82) = a(10): a11(83) = a(6): a11(84) = a(7):
a11(91) = a(13): a11(92) = a(14): a11(93) = a(15): a11(94) = a(11): a11(95) = a(12):
n32 = 25: GoSub 900 'Remove used integers from available integers
' Complete Border and Simple Magic Square ( 7 x 7)
Erase a, b, c
s71 = a11(69) + a11(81) + a11(93)
GoSub 7000: If fl1 = 0 Then GoTo 1000
a11(45) = a(1): a11(46) = a(2): a11(56) = a(3): a11(57) = a(4):
a11(67) = a(5): a11(68) = a(6): a11(78) = a(7): a11(79) = a(8):
a11(103) = a(9): a11(104) = a(10): a11(105) = a(11): a11(106) = a(12):
a11(114) = a(13): a11(115) = a(14): a11(116) = a(15): a11(117) = a(16):
n32 = 16: GoSub 900 'Remove used integers from available integers
Erase a, b, c
GoSub 3000: If fl1 = 0 Then GoTo 1000
a11(29) = a(8): a11(30) = a(9): a11(31) = a(7):
a11(40) = a(2): a11(41) = a(3): a11(42) = a(1):
a11(52) = a(6): a11(53) = a(4):
n32 = 9: GoSub 900 'Remove used integers from available integers
' Complete Eccentric Magic Square (9 x 9)
Erase a, b, c
GoSub 3000: If fl1 = 0 Then GoTo 1000
a11(9) = a(8): a11(10) = a(9): a11(11) = a(7):
a11(20) = a(2): a11(21) = a(3): a11(22) = a(1):
a11(32) = a(6): a11(33) = a(4):
n32 = 9: GoSub 900 'Remove used integers from available integers
' Complete Eccentric Magic Square (7 x 7)
Erase a, b, c
s71 = a11(49) + a11(61) + a11(73)
GoSub 7000: If fl1 = 0 Then GoTo 1000
a11(25) = a(1): a11(26) = a(3): a11(27) = a(5): a11(28) = a(7):
a11(36) = a(2): a11(37) = a(4): a11(38) = a(6): a11(39) = a(8):
a11(63) = a(9): a11(64) = a(13): a11(74) = a(10): a11(75) = a(14):
a11(85) = a(11): a11(86) = a(15): a11(96) = a(12): a11(97) = a(16):
n32 = 16: GoSub 900 'Remove used integers from available integers
' Complete Main Diagonal and Borders (2 x 4)
Erase a, b, c
s71 = s3
GoSub 7000: If fl1 = 0 Then GoTo 1000
a11(1) = a(1): a11(2) = a(2): a11(12) = a(3): a11(13) = a(4):
a11(23) = a(5): a11(24) = a(6): a11(34) = a(7): a11(35) = a(8):
a11(107) = a(9): a11(108) = a(10): a11(109) = a(11): a11(110) = a(12):
a11(118) = a(13): a11(119) = a(14): a11(120) = a(15): a11(121) = a(16):
n32 = 16: GoSub 900 'Remove used integers from available integers
' Complete Main Diagonal 9 x 9
Erase a, b, c
GoSub 9000: If fl1 = 0 Then GoTo 1000
a11(3) = a(4): a11(4) = a(7): a11(5) = a(10): a11(6) = a(16): a11(7) = a(17): a11(8) = a(18):
a11(14) = a(8): a11(15) = a(3): a11(16) = a(9): a11(17) = a(13): a11(18) = a(14): a11(19) = a(15):
a11(43) = a(21): a11(44) = a(24):
a11(54) = a(20): a11(55) = a(23):
a11(65) = a(19): a11(66) = a(22):
a11(76) = a(11): a11(77) = a(12):
a11(87) = a(2): a11(88) = a(6):
a11(98) = a(5): a11(99) = a(1):
GoSub 850 'Double Check Identical Integers
If fl1 = 1 Then
n9 = n9 + 1: GoSub 1650 'Print results (squares)
' n9 = n9 + 1: GoSub 1640 'Print results (lines)
End If
1000 Erase b1, b, c
Next j100
t2 = Timer
t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions"
y = MsgBox(t10, 0, "Routine MgcSqr11")
End
' Generate Ultra Magic Square 5 x 5
5000 fl1 = 1: n10 = 0
a(13) = 0.2 * s5: b(a(13)) = a(13)
For j25 = m1 To m2 'a(25)
If b1(a1(j25)) = 0 Then GoTo 5250
If b(a1(j25)) = 0 Then b(a1(j25)) = a1(j25): c(25) = a1(j25) Else GoTo 5250
a(25) = a1(j25)
a(1) = 0.4 * s5 - a(25)
If a(1) < a1(m1) Or a(1) > a1(m2) Then GoTo 5010
If b1(a(1)) = 0 Then GoTo 5010
If b(a(1)) = 0 Then b(a(1)) = a(1): c(1) = a(1) Else GoTo 5010
For j24 = m1 To m2 'a(24)
If b1(a1(j24)) = 0 Then GoTo 5240
If b(a1(j24)) = 0 Then b(a1(j24)) = a1(j24): c(24) = a1(j24) Else GoTo 5240
a(24) = a1(j24)
a(2) = 0.4 * s5 - a(24)
If a(2) < a1(m1) Or a(2) > a1(m2) Then GoTo 5020
If b1(a(2)) = 0 Then GoTo 5020
If b(a(2)) = 0 Then b(a(2)) = a(2): c(2) = a(2) Else GoTo 5020
a(20) = 0.6 * s5 - a(24) - a(25)
If a(20) < a1(m1) Or a(20) > a1(m2) Then GoTo 5200
If b1(a(20)) = 0 Then GoTo 5200
If b(a(20)) = 0 Then b(a(20)) = a(20): c(20) = a(20) Else GoTo 5200
a(6) = 0.4 * s5 - a(20)
If a(6) < a1(m1) Or a(6) > a1(m2) Then GoTo 5060
If b1(a(6)) = 0 Then GoTo 5060
If b(a(6)) = 0 Then b(a(6)) = a(6): c(6) = a(6) Else GoTo 5060
a(17) = -0.4 * s5 + 2 * a(24) + a(25)
If a(17) < a1(m1) Or a(17) > a1(m2) Then GoTo 5170
If a(17) < 121 Then GoTo 5170 'Heuristic
If b1(a(17)) = 0 Then GoTo 5170
If b(a(17)) = 0 Then b(a(17)) = a(17): c(17) = a(17) Else GoTo 5170
a(9) = 0.4 * s5 - a(17)
If a(9) < a1(m1) Or a(9) > a1(m2) Then GoTo 5090
If b1(a(9)) = 0 Then GoTo 5090
If b(a(9)) = 0 Then b(a(9)) = a(9): c(9) = a(9) Else GoTo 5090
For j23 = m1 To m2 'a(23)
If b1(a1(j23)) = 0 Then GoTo 5230
If b(a1(j23)) = 0 Then b(a1(j23)) = a1(j23): c(23) = a1(j23) Else GoTo 5230
a(23) = a1(j23)
a(3) = 0.4 * s5 - a(23)
If a(3) < a1(m1) Or a(3) > a1(m2) Then GoTo 5030
If b1(a(3)) = 0 Then GoTo 5030
If b(a(3)) = 0 Then b(a(3)) = a(3): c(3) = a(3) Else GoTo 5030
a(16) = -0.4 * s5 + a(23) + a(24) + a(25)
If a(16) < a1(m1) Or a(16) > a1(m2) Then GoTo 5160
If b1(a(16)) = 0 Then GoTo 5160
If b(a(16)) = 0 Then b(a(16)) = a(16): c(16) = a(16) Else GoTo 5160
a(10) = 0.4 * s5 - a(16)
If a(10) < a1(m1) Or a(10) > a1(m2) Then GoTo 5100:
If b1(a(10)) = 0 Then GoTo 5100
If b(a(10)) = 0 Then b(a(10)) = a(10): c(10) = a(10) Else GoTo 5100
a(14) = -0.8 * s5 + a(23) + 2 * a(24) + 2 * a(25)
If a(14) < a1(m1) Or a(14) > a1(m2) Then GoTo 5140
If b1(a(14)) = 0 Then GoTo 5140
If b(a(14)) = 0 Then b(a(14)) = a(14): c(14) = a(14) Else GoTo 5140
a(12) = 0.4 * s5 - a(14)
If a(12) < a1(m1) Or a(12) > a1(m2) Then GoTo 5120
If b1(a(12)) = 0 Then GoTo 5120
If b(a(12)) = 0 Then b(a(12)) = a(12): c(12) = a(12) Else GoTo 5120
For j22 = m1 To m2 'a(22)
If b1(a1(j22)) = 0 Then GoTo 5220
If b(a1(j22)) = 0 Then b(a1(j22)) = a1(j22): c(22) = a1(j22) Else GoTo 5220
a(22) = a1(j22)
a(4) = 0.4 * s5 - a(22)
If a(4) < a1(m1) Or a(4) > a1(m2) Then GoTo 5040
If b1(a(4)) = 0 Then GoTo 5040
If b(a(4)) = 0 Then b(a(4)) = a(4): c(4) = a(4) Else GoTo 5040
a(21) = s5 - a(22) - a(23) - a(24) - a(25)
If a(21) < a1(m1) Or a(21) > a1(m2) Then GoTo 5210
If b1(a(21)) = 0 Then GoTo 5210
If b(a(21)) = 0 Then b(a(21)) = a(21): c(21) = a(21) Else GoTo 5210
a(5) = 0.4 * s5 - a(21)
If a(5) < a1(m1) Or a(5) > a1(m2) Then GoTo 5050
If b1(a(5)) = 0 Then GoTo 5050
If b(a(5)) = 0 Then b(a(5)) = a(5): c(5) = a(5) Else GoTo 5050
a(19) = 0.6 * s5 + a(22) - a(23) - a(24) - a(25)
If a(19) < a1(m1) Or a(19) > a1(m2) Then GoTo 5190
If b1(a(19)) = 0 Then GoTo 5190
If b(a(19)) = 0 Then b(a(19)) = a(19): c(19) = a(19) Else GoTo 5190
a(7) = 0.4 * s5 - a(19)
If a(7) < a1(m1) Or a(7) > a1(m2) Then GoTo 5070
If b1(a(7)) = 0 Then GoTo 5070
If b(a(7)) = 0 Then b(a(7)) = a(7): c(7) = a(7) Else GoTo 5070
a(18) = 0.6 * s5 - a(22) - a(24)
If a(18) < a1(m1) Or a(18) > a1(m2) Then GoTo 5180
If b1(a(18)) = 0 Then GoTo 5180
If b(a(18)) = 0 Then b(a(18)) = a(18): c(18) = a(18) Else GoTo 5180
a(8) = 0.4 * s5 - a(18)
If a(8) < a1(m1) Or a(8) > a1(m2) Then GoTo 5080
If b1(a(8)) = 0 Then GoTo 5080
If b(a(8)) = 0 Then b(a(8)) = a(8): c(8) = a(8) Else GoTo 5080
a(15) = 0.2 * s5 - a(22) + a(24)
If a(15) < a1(m1) Or a(15) > a1(m2) Then GoTo 5150
If b1(a(15)) = 0 Then GoTo 5150
If b(a(15)) = 0 Then b(a(15)) = a(15): c(15) = a(15) Else GoTo 5150
a(11) = 0.4 * s5 - a(15)
If a(11) < a1(m1) Or a(11) > a1(m2) Then GoTo 5110:
If b1(a(11)) = 0 Then GoTo 5110
If b(a(11)) = 0 Then b(a(11)) = a(11): c(11) = a(11) Else GoTo 5110
n10 = n10 + 1: If n10 = 15 Then Return 'Change parameter for more results
b(c(11)) = 0: c(11) = 0
5110 b(c(15)) = 0: c(15) = 0
5150 b(c(8)) = 0: c(8) = 0
5080 b(c(18)) = 0: c(18) = 0
5180 b(c(7)) = 0: c(7) = 0
5070 b(c(19)) = 0: c(19) = 0
5190 b(c(5)) = 0: c(5) = 0
5050 b(c(21)) = 0: c(21) = 0
5210 b(c(4)) = 0: c(4) = 0
5040 b(c(22)) = 0: c(22) = 0
5220 Next j22
b(c(12)) = 0: c(12) = 0
5120 b(c(14)) = 0: c(14) = 0
5140 b(c(10)) = 0: c(10) = 0
5100 b(c(16)) = 0: c(16) = 0
5160 b(c(3)) = 0: c(3) = 0
5030 b(c(23)) = 0: c(23) = 0
5230 Next j23
b(c(9)) = 0: c(9) = 0
5090 b(c(17)) = 0: c(17) = 0
5170 b(c(6)) = 0: c(6) = 0
5060 b(c(20)) = 0: c(20) = 0
5200 b(c(2)) = 0: c(2) = 0
5020 b(c(24)) = 0: c(24) = 0
5240 Next j24
b(c(1)) = 0: c(1) = 0
5010 b(c(25)) = 0: c(25) = 0
5250 Next j25
fl1 = 0
Return
' Complete Border and Simple Magic Square ( 7 x 7)
7000 fl1 = 1
' Main Diagonal
For j16 = m1 To m2 'a(16)
If b1(a1(j16)) = 0 Then GoTo 7160
If b(a1(j16)) = 0 Then b(a1(j16)) = a1(j16): c(16) = a1(j16) Else GoTo 7160
a(16) = a1(j16)
a(12) = Pr3 - a(16): If b(a(12)) = 0 Then b(a(12)) = a(12): c(12) = a(12) Else GoTo 7120
For j11 = m1 To m2 'a(11)
If b1(a1(j11)) = 0 Then GoTo 7110
If b(a1(j11)) = 0 Then b(a1(j11)) = a1(j11): c(11) = a1(j11) Else GoTo 7110
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 7150
For j4 = m1 To m2 'a(4)
If b1(a1(j4)) = 0 Then GoTo 7040
If b(a1(j4)) = 0 Then b(a1(j4)) = a1(j4): c(4) = a1(j4) Else GoTo 7040
a(4) = a1(j4)
a(3) = Pr3 - a(4): If b(a(3)) = 0 Then b(a(3)) = a(3): c(3) = a(3) Else GoTo 7030
a(1) = s7 - a(16) - a(11) - a(4) - s71
If a(1) < a1(m1) Or a(1) > a1(m2) Then GoTo 7010:
If b1(a(1)) = 0 Then GoTo 7010
If b(a(1)) = 0 Then b(a(1)) = a(1): c(1) = a(1) Else GoTo 7010
a(2) = Pr3 - a(1): If b(a(2)) = 0 Then b(a(2)) = a(2): c(2) = a(2) Else GoTo 7020
' Complete Simple Magic Square 7 x 7
For j14 = m1 To m2 'a(14)
If b1(a1(j14)) = 0 Then GoTo 7140
If b(a1(j14)) = 0 Then b(a1(j14)) = a1(j14): c(14) = a1(j14) Else GoTo 7140
a(14) = a1(j14)
a(10) = Pr3 - a(14): If b(a(10)) = 0 Then b(a(10)) = a(10): c(10) = a(10) Else GoTo 7100
a(13) = s4 - a(14) - a(15) - a(16)
If a(13) < a1(m1) Or a(13) > a1(m2) Then GoTo 7130
If b1(a(13)) = 0 Then GoTo 7130
If b(a(13)) = 0 Then b(a(13)) = a(13): c(13) = a(13) Else GoTo 7130
a(9) = Pr3 - a(13): If b(a(9)) = 0 Then b(a(9)) = a(9): c(9) = a(9) Else GoTo 7090
For j5 = m1 To m2 'a(5)
If b1(a1(j5)) = 0 Then GoTo 7050
If b(a1(j5)) = 0 Then b(a1(j5)) = a1(j5): c(5) = a1(j5) Else GoTo 7050
a(5) = a1(j5)
a(6) = Pr3 - a(5): If b(a(6)) = 0 Then b(a(6)) = a(6): c(6) = a(6) Else GoTo 7060
a(7) = s4 - a(5) - a(3) - a(1)
If a(7) < a1(m1) Or a(7) > a1(m2) Then GoTo 7070
If b1(a(7)) = 0 Then GoTo 7070
If b(a(7)) = 0 Then b(a(7)) = a(7): c(7) = a(7) Else GoTo 7070
a(8) = Pr3 - a(7): If b(a(8)) = 0 Then b(a(8)) = a(8): c(8) = a(8) Else GoTo 7080
Return
b(c(8)) = 0: c(8) = 0
7080 b(c(7)) = 0: c(7) = 0
7070 b(c(6)) = 0: c(6) = 0
7060 b(c(5)) = 0: c(5) = 0
7050 Next j5
b(c(9)) = 0: c(9) = 0
7090 b(c(13)) = 0: c(13) = 0
7130 b(c(10)) = 0: c(10) = 0
7100 b(c(14)) = 0: c(14) = 0
7140 Next j14
b(c(2)) = 0: c(2) = 0
7020 b(c(1)) = 0: c(1) = 0
7010 b(c(3)) = 0: c(3) = 0
7030 b(c(4)) = 0: c(4) = 0
7040 Next j4
b(c(15)) = 0: c(15) = 0
7150 b(c(11)) = 0: c(11) = 0
7110 Next j11
b(c(12)) = 0: c(12) = 0
7120 b(c(16)) = 0: c(16) = 0
7160 Next j16
fl1 = 0
Return
' Complete Eccentric Magic Square (9 x 9)
9000 fl1 = 1
' Main Diagonal
For j1 = m1 To m2 'a(1)
If b1(a1(j1)) = 0 Then GoTo 9010
If b(a1(j1)) = 0 Then b(a1(j1)) = a1(j1): c(1) = a1(j1) Else GoTo 9010
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 9050
For j2 = m1 To m2 'a(2)
If b1(a1(j2)) = 0 Then GoTo 9020
If b(a1(j2)) = 0 Then b(a1(j2)) = a1(j2): c(2) = a1(j2) Else GoTo 9020
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 9060
For j3 = m1 To m2 'a(3)
If b1(a1(j3)) = 0 Then GoTo 9030
If b(a1(j3)) = 0 Then b(a1(j3)) = a1(j3): c(3) = a1(j3) Else GoTo 9030
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 9070
a(4) = s9 - a(3) - a(2) - a(1) - a11(27) - a11(39) - a11(51) - a11(63) - a11(75)
If a(4) < a1(m1) Or a(4) > a1(m2) Then GoTo 9040
If b1(a(4)) = 0 Then GoTo 9040
If b(a(4)) = 0 Then b(a(4)) = a(4): c(4) = a(4) Else GoTo 9040
a(8) = Pr3 - a(4): If b(a(8)) = 0 Then b(a(8)) = a(8): c(8) = a(8) Else GoTo 9080
a(9) = s3 - a(3) - a(8)
If a(9) < a1(m1) Or a(9) > a1(m2) Then GoTo 9090
If b1(a(9)) = 0 Then GoTo 9090
If b(a(9)) = 0 Then b(a(9)) = a(9): c(9) = a(9) Else GoTo 9090
a(10) = Pr3 - a(9): If b(a(10)) = 0 Then b(a(10)) = a(10): c(10) = a(10) Else GoTo 9100
a(11) = s3 - a(2) - a(5)
If a(11) < a1(m1) Or a(11) > a1(m2) Then GoTo 9110
If b1(a(11)) = 0 Then GoTo 9110
If b(a(11)) = 0 Then b(a(11)) = a(11): c(11) = a(11) Else GoTo 9110
a(12) = Pr3 - a(11): If b(a(12)) = 0 Then b(a(12)) = a(12): c(12) = a(12) Else GoTo 9120
For j13 = m1 To m2 'a(13)
If b1(a1(j13)) = 0 Then GoTo 9130
If b(a1(j13)) = 0 Then b(a1(j13)) = a1(j13): c(13) = a1(j13) Else GoTo 9130
a(13) = a1(j13)
a(16) = Pr3 - a(13): If b(a(16)) = 0 Then b(a(16)) = a(16): c(16) = a(16) Else GoTo 9160
For j14 = m1 To m2 'a(14)
If b1(a1(j14)) = 0 Then GoTo 9140
If b(a1(j14)) = 0 Then b(a1(j14)) = a1(j14): c(14) = a1(j14) Else GoTo 9140
a(14) = a1(j14)
a(17) = Pr3 - a(14): If b(a(17)) = 0 Then b(a(17)) = a(17): c(17) = a(17) Else GoTo 9170
a(15) = s3 - a(14) - a(13)
If a(15) < a1(m1) Or a(15) > a1(m2) Then GoTo 9150
If b1(a(15)) = 0 Then GoTo 9150
If b(a(15)) = 0 Then b(a(15)) = a(15): c(15) = a(15) Else GoTo 9150
a(18) = Pr3 - a(15): If b(a(18)) = 0 Then b(a(18)) = a(18): c(18) = a(18) Else GoTo 9180
For j19 = m1 To m2 'a(19)
If b1(a1(j19)) = 0 Then GoTo 9190
If b(a1(j19)) = 0 Then b(a1(j19)) = a1(j19): c(19) = a1(j19) Else GoTo 9190
a(19) = a1(j19)
a(22) = Pr3 - a(19): If b(a(22)) = 0 Then b(a(22)) = a(22): c(22) = a(22) Else GoTo 9220
For j20 = m1 To m2 'a(20)
If b1(a1(j20)) = 0 Then GoTo 9200
If b(a1(j20)) = 0 Then b(a1(j20)) = a1(j20): c(20) = a1(j20) Else GoTo 9200
a(20) = a1(j20)
a(23) = Pr3 - a(20): If b(a(23)) = 0 Then b(a(23)) = a(23): c(23) = a(23) Else GoTo 9230
a(21) = s3 - a(20) - a(19)
If a(21) < a1(m1) Or a(21) > a1(m2) Then GoTo 9210
If b1(a(21)) = 0 Then GoTo 9210
If b(a(21)) = 0 Then b(a(21)) = a(21): c(21) = a(21) Else GoTo 9210
a(24) = Pr3 - a(21): If b(a(24)) = 0 Then b(a(24)) = a(24): c(24) = a(24) Else GoTo 9240
Return
b(c(24)) = 0: c(24) = 0
9240 b(c(21)) = 0: c(21) = 0
9210 b(c(23)) = 0: c(23) = 0
9230 b(c(20)) = 0: c(20) = 0
9200 Next j20
b(c(22)) = 0: c(22) = 0
9220 b(c(19)) = 0: c(19) = 0
9190 Next j19
b(c(18)) = 0: c(18) = 0
9180 b(c(15)) = 0: c(15) = 0
9150 b(c(17)) = 0: c(17) = 0
9170 b(c(14)) = 0: c(14) = 0
9140 Next j14
b(c(16)) = 0: c(16) = 0
9160 b(c(13)) = 0: c(13) = 0
9130 Next j13
b(c(12)) = 0: c(12) = 0
9120 b(c(11)) = 0: c(11) = 0
9110 b(c(10)) = 0: c(10) = 0
9100 b(c(9)) = 0: c(9) = 0
9090 b(c(8)) = 0: c(8) = 0
9080 b(c(4)) = 0: c(4) = 0
9040 b(c(7)) = 0: c(7) = 0
9070 b(c(3)) = 0: c(3) = 0
9030 Next j3
b(c(6)) = 0: c(6) = 0
9060 b(c(2)) = 0: c(2) = 0
9020 Next j2
b(c(5)) = 0: c(5) = 0
9050 b(c(1)) = 0: c(1) = 0
9010 Next j1
fl1 = 0
Return
' Determine Magic Square Order 3 (Corner Eccentric Squares)
3000 fl1 = 1
For j9 = m1 To m2 'a(9)
If b1(a1(j9)) = 0 Then GoTo 3090
If b(a1(j9)) = 0 Then b(a1(j9)) = a1(j9): c(9) = a1(j9) Else GoTo 3090
a(9) = a1(j9)
For j8 = m1 To m2 'a(8)
If b1(a1(j8)) = 0 Then GoTo 3080
If b(a1(j8)) = 0 Then b(a1(j8)) = a1(j8): c(8) = a1(j8) Else GoTo 3080
a(8) = a1(j8)
a(7) = s3 - a(8) - a(9):
If a(7) < a1(m1) Or a(7) > a1(m2) Then GoTo 3070:
If b1(a(7)) = 0 Then GoTo 3070
If b(a(7)) = 0 Then b(a(7)) = a(7): c(7) = a(7) Else GoTo 3070
a(6) = 4 * s3 / 3 - a(8) - 2 * a(9):
If a(6) < a1(m1) Or a(6) > a1(m2) Then GoTo 3060:
If b1(a(6)) = 0 Then GoTo 3060
If b(a(6)) = 0 Then b(a(6)) = a(6): c(6) = a(6) Else GoTo 3060
a(5) = s3 / 3:
a(4) = -2 * s3 / 3 + a(8) + 2 * a(9):
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(3) = -s3 / 3 + a(8) + a(9):
If a(3) < a1(m1) Or a(3) > a1(m2) Then GoTo 3030:
If b1(a(3)) = 0 Then GoTo 3030
If b(a(3)) = 0 Then b(a(3)) = a(3): c(3) = a(3) Else GoTo 3030
a(2) = 2 * s3 / 3 - a(8):
If a(2) < a1(m1) Or a(2) > a1(m2) Then GoTo 3020:
If b1(a(2)) = 0 Then GoTo 3020
If b(a(2)) = 0 Then b(a(2)) = a(2): c(2) = a(2) Else GoTo 3020
a(1) = 2 * s3 / 3 - a(9):
If a(1) < a1(m1) Or a(1) > a1(m2) Then GoTo 3010:
If b1(a(1)) = 0 Then GoTo 3010
If b(a(1)) = 0 Then b(a(1)) = a(1): c(1) = a(1) Else GoTo 3010
Return
b(c(1)) = 0: c(1) = 0
3010 b(c(2)) = 0: c(2) = 0
3020 b(c(3)) = 0: c(2) = 0
3030 b(c(4)) = 0: c(4) = 0
3040 b(c(5)) = 0: c(5) = 0
3050 b(c(6)) = 0: c(6) = 0
3060 b(c(7)) = 0: c(7) = 0
3070 b(c(8)) = 0: c(8) = 0
3080 Next j8
b(c(9)) = 0: c(9) = 0
3090 Next j9
fl1 = 0
Return
' Check Identical Numbers a()
800 fl1 = 1
For i1 = 1 To n32
a20 = a(i1)
For i2 = (1 + i1) To n32
If a20 = a(i2) Then fl1 = 0: Return
Next i2
Next i1
Return
' Double Check Identical Numbers a11()
850 fl1 = 1
For i1 = 1 To 121
a20 = a11(i1): If a20 = 0 Then GoTo 860
For i2 = (1 + i1) To 121
If a20 = a11(i2) Then fl1 = 0: Return
Next i2
860 Next i1
Return
' Remove used pairs from b1()
900 For i1 = 1 To n32
b1(a(i1)) = 0
Next i1
Return
' Print results (lines)
1640 Cells(n9, 226).Select
For i1 = 1 To 225
Cells(n9, i1).Value = a11(i1)
Next i1
Cells(n9, 226).Value = s11
Cells(n9, 227).Value = j100
Return
' Print results (squares)
1650 n2 = n2 + 1
If n2 = 4 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 = j100
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
' Define integer
2010 Pr3 = 122: Cntr3 = 61: nVar = 121
s3 = 3 * Cntr3 'MC3
s4 = 4 * Cntr3 'MC4
s5 = 5 * Cntr3 'MC5
s7 = 7 * Cntr3 'MC7
s9 = 9 * Cntr3 'MC9
s11 = 11 * Cntr3 'MC11
Erase b1
For i1 = 1 To nVar
a1(i1) = i1: b1(i1) = i1
Next i1
m1 = 1: m2 = nVar
Return
End Sub
