' Constructs 14 x 14 Composed Magic Squares (Distinct Integers)
' Overlapping Sub Squares
' Tested with Office 365 under Windows 10
' Constructs 14 x 14 Composed Magic Squares (Distinct Integers)
' Overlapping Sub Squares
' Tested with Office 365 under Windows 10
Sub MgcSqrs14b()
Dim a1(196), a14(196), a(36), b1(196), b(196), c(36), d2(2)
y = MsgBox("Locked", vbCritical, "Routine MgcSqrs14b")
End
n2 = 0: n3 = 0: k1 = 1: k2 = 1: n9 = 0: n10 = 0
' Generate Squares
Sheets("Klad1").Select
t1 = Timer
For j100 = 1 To 10 'Read Center Square
GoSub 2210 'Redefine Integers
' Read Center Square
For i1 = 1 To 36
a(i1) = Sheets("Lines6").Cells(j100, i1).Value
Next i1
GoSub 700 'Assign Center Square
n32 = 36: GoSub 900 'Remove used integers a() from available integers b1()
' Complete Eccentrc Squares A1/2 (8 x 8)
d2(1) = a14(63) + a14(78) + a14(93) + a14(108)
d2(2) = a14(89) + a14(104) + a14(119) + a14(134)
For n10 = 1 To 2
Erase a, b, c
GoSub 5000: If fl1 = 0 Then GoTo 1000
Select Case n10
Case 1:
a14(33) = a(1): a14(34) = a(2): a14(35) = a(3): a14(36) = a(4):
a14(37) = a(5): a14(38) = a(6): a14(39) = a(7): a14(40) = a(8):
a14(47) = a(9): a14(48) = a(10): a14(49) = a(11): a14(50) = a(12):
a14(51) = a(13): a14(52) = a(14): a14(53) = a(15): a14(54) = a(16):
a14(67) = a(17): a14(68) = a(18):
a14(81) = a(19): a14(82) = a(20):
a14(95) = a(21): a14(96) = a(22):
a14(109) = a(23): a14(110) = a(24):
a14(123) = a(25): a14(124) = a(26):
a14(137) = a(27): a14(138) = a(28):
n32 = 28: GoSub 900 'Remove used integers from available integers
Case 2:
a14(59) = a(28): a14(60) = a(27):
a14(73) = a(26): a14(74) = a(25):
a14(87) = a(24): a14(88) = a(23):
a14(101) = a(22): a14(102) = a(21):
a14(115) = a(20): a14(116) = a(19):
a14(129) = a(18): a14(130) = a(17):
a14(143) = a(16): a14(144) = a(15): a14(145) = a(14): a14(146) = a(13):
a14(147) = a(12): a14(148) = a(11): a14(149) = a(10): a14(150) = a(9):
a14(157) = a(8): a14(158) = a(7): a14(159) = a(6): a14(160) = a(5):
a14(161) = a(4): a14(162) = a(3): a14(163) = a(2): a14(164) = a(1):
n32 = 28: GoSub 900 'Remove used integers from available integers
End Select
Next n10
' Complete Eccentrc Squares B1/2 (10 x 10)
d2(1) = a14(35) + a14(50) + a14(65) + a14(80) + a14(95) + a14(110)
d2(2) = a14(87) + a14(102) + a14(117) + a14(132) + a14(147) + a14(162)
For n10 = 1 To 2
Erase a, b, c
GoSub 7000: If fl1 = 0 Then GoTo 1000
Select Case n10
Case 1:
a14(5) = a(1): a14(6) = a(2): a14(7) = a(3): a14(8) = a(4): a14(9) = a(5):
a14(10) = a(6): a14(11) = a(7): a14(12) = a(8): a14(13) = a(9): a14(14) = a(10):
a14(19) = a(11): a14(20) = a(12): a14(21) = a(13): a14(22) = a(14): a14(23) = a(15):
a14(24) = a(16): a14(25) = a(17): a14(26) = a(18): a14(27) = a(19): a14(28) = a(20):
a14(41) = a(21): a14(42) = a(22):
a14(55) = a(23): a14(56) = a(24):
a14(69) = a(25): a14(70) = a(26):
a14(83) = a(27): a14(84) = a(28):
a14(97) = a(29): a14(98) = a(30):
a14(111) = a(31): a14(112) = a(32):
a14(125) = a(33): a14(126) = a(34):
a14(139) = a(35): a14(140) = a(36):
n32 = 36: GoSub 900 'Remove used integers from available integers
Case 2:
a14(57) = a(36): a14(58) = a(35):
a14(71) = a(34): a14(72) = a(33):
a14(85) = a(32): a14(86) = a(31):
a14(99) = a(30): a14(100) = a(29):
a14(113) = a(28): a14(114) = a(27):
a14(127) = a(26): a14(128) = a(25):
a14(141) = a(24): a14(142) = a(23):
a14(155) = a(22): a14(156) = a(21):
a14(169) = a(20): a14(170) = a(19): a14(171) = a(18): a14(172) = a(17): a14(173) = a(16):
a14(174) = a(15): a14(175) = a(14): a14(176) = a(13): a14(177) = a(12): a14(178) = a(11):
a14(183) = a(10): a14(184) = a(9): a14(185) = a(8): a14(186) = a(7): a14(187) = a(6):
a14(188) = a(5): a14(189) = a(4): a14(190) = a(3): a14(191) = a(2): a14(192) = a(1):
n32 = 36: GoSub 900 'Remove used integers from available integers
End Select
Next n10
' Generate (Pan) Magic Squares Pm1/2 ( 4 x 4)
For n10 = 1 To 2
Erase a, b, c
GoSub 4000: If fl1 = 0 Then GoTo 1000
Select Case n10
Case 1:
a14(1) = a(1): a14(2) = a(2): a14(3) = a(3): a14(4) = a(4):
a14(15) = a(5): a14(16) = a(6): a14(17) = a(7): a14(18) = a(8):
a14(29) = a(9): a14(30) = a(10): a14(31) = a(11): a14(32) = a(12):
a14(43) = a(13): a14(44) = a(14): a14(45) = a(15): a14(46) = a(16):
n32 = 16: GoSub 900 'Remove used integers from available integers
Case 2:
a14(151) = a(1): a14(152) = a(2): a14(153) = a(3): a14(154) = a(4):
a14(165) = a(5): a14(166) = a(6): a14(167) = a(7): a14(168) = a(8):
a14(179) = a(9): a14(180) = a(10): a14(181) = a(11): a14(182) = a(12):
a14(193) = a(13): a14(194) = a(14): a14(195) = a(15): a14(196) = a(16):
n32 = 16: GoSub 900 'Remove used integers from available integers
End Select
Next n10
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 for sum" + Str(s11)
y = MsgBox(t10, 0, "Routine MgcSqrs14b")
End
' Define integer
2210 Pr4 = 197: nVar = 196
n10 = 0
s10 = 5 * Pr4 'MC10
s8 = 4 * Pr4 'MC8
s6 = 3 * Pr4 'MC6
s4 = 2 * Pr4 'MC4
s14 = 1379 'MC14
Erase b1
For i1 = 1 To nVar
a1(i1) = i1: b1(i1) = i1
Next i1
m1 = 1: m2 = nVar
Return
' Generate Simple Magic Squares M1/2 (4 x 4)
4000 fl1 = 1
For j16 = m1 To m2 'a(16)
If b1(a1(j16)) = 0 Then GoTo 4160
If b(a1(j16)) = 0 Then b(a1(j16)) = a1(j16): c(16) = a1(j16) Else GoTo 4160
a(16) = a1(j16)
For j11 = m1 To m2 'a(11)
If b1(a1(j11)) = 0 Then GoTo 4110
If b(a1(j11)) = 0 Then b(a1(j11)) = a1(j11): c(11) = a1(j11) Else GoTo 4110
a(11) = a1(j11)
For j6 = m1 To m2 'a(6)
If b1(a1(j6)) = 0 Then GoTo 4060
If b(a1(j6)) = 0 Then b(a1(j6)) = a1(j6): c(6) = a1(j6) Else GoTo 4060
a(6) = a1(j6)
a(1) = s4 - a(6) - a(11) - a(16)
If a(1) < a1(m1) Or a(1) > a1(m2) Then GoTo 4010
If b1(a(1)) = 0 Then GoTo 4010
If b(a(1)) = 0 Then b(a(1)) = a(1): c(1) = a(1) Else GoTo 4010
For j13 = m1 To m2 'a(13)
If b1(a1(j13)) = 0 Then GoTo 4130
If b(a1(j13)) = 0 Then b(a1(j13)) = a1(j13): c(13) = a1(j13) Else GoTo 4130
a(13) = a1(j13)
For j10 = m1 To m2 'a(10)
If b1(a1(j10)) = 0 Then GoTo 4100
If b(a1(j10)) = 0 Then b(a1(j10)) = a1(j10): c(10) = a1(j10) Else GoTo 4100
a(10) = a1(j10)
a(7) = s4 - a(6) - a(10) - a(11)
If a(7) < a1(m1) Or a(7) > a1(m2) Then GoTo 4070
If b1(a(7)) = 0 Then GoTo 4070
If b(a(7)) = 0 Then b(a(7)) = a(7): c(7) = a(7) Else GoTo 4070
a(4) = s4 - a(7) - a(10) - a(13)
If a(4) < a1(m1) Or a(4) > a1(m2) Then GoTo 4040
If b1(a(4)) = 0 Then GoTo 4040
If b(a(4)) = 0 Then b(a(4)) = a(4): c(4) = a(4) Else GoTo 4040
For j15 = m1 To m2 'a(15)
If b1(a1(j15)) = 0 Then GoTo 4150
If b(a1(j15)) = 0 Then b(a1(j15)) = a1(j15): c(15) = a1(j15) Else GoTo 4150
a(15) = a1(j15)
a(14) = s4 - a(13) - a(15) - a(16)
If a(14) < a1(m1) Or a(14) > a1(m2) Then GoTo 4140
If b1(a(14)) = 0 Then GoTo 4140
If b(a(14)) = 0 Then b(a(14)) = a(14): c(14) = a(14) Else GoTo 4140
a(3) = s4 - a(7) - a(11) - a(15)
If a(3) < a1(m1) Or a(3) > a1(m2) Then GoTo 4030
If b1(a(3)) = 0 Then GoTo 4030
If b(a(3)) = 0 Then b(a(3)) = a(3): c(3) = a(3) Else GoTo 4030
a(2) = s4 - a(1) - a(3) - a(4)
If a(2) < a1(m1) Or a(2) > a1(m2) Then GoTo 4020
If b1(a(2)) = 0 Then GoTo 4020
If b(a(2)) = 0 Then b(a(2)) = a(2): c(2) = a(2) Else GoTo 4020
For j12 = m1 To m2 'a(12)
If b1(a1(j12)) = 0 Then GoTo 4120
If b(a1(j12)) = 0 Then b(a1(j12)) = a1(j12): c(12) = a1(j12) Else GoTo 4120
a(12) = a1(j12)
a(9) = s4 - a(10) - a(11) - a(12)
If a(9) < a1(m1) Or a(9) > a1(m2) Then GoTo 4090
If b1(a(9)) = 0 Then GoTo 4090
If b(a(9)) = 0 Then b(a(9)) = a(9): c(9) = a(9) Else GoTo 4090
a(8) = s4 - a(4) - a(12) - a(16)
If a(8) < a1(m1) Or a(8) > a1(m2) Then GoTo 4080
If b1(a(8)) = 0 Then GoTo 4080
If b(a(8)) = 0 Then b(a(8)) = a(8): c(8) = a(8) Else GoTo 4080
a(5) = s4 - a(1) - a(9) - a(13)
If a(5) < a1(m1) Or a(5) > a1(m2) Then GoTo 4050
If b1(a(5)) = 0 Then GoTo 4050
If b(a(5)) = 0 Then b(a(5)) = a(5): c(5) = a(5) Else GoTo 4050
' Exclude solutions with identical numbers (M4)
n32 = 16: GoSub 800: If fl1 = 0 Then GoTo 5
Return
5
b(c(5)) = 0: c(5) = 0
4050 b(c(8)) = 0: c(8) = 0
4080 b(c(9)) = 0: c(9) = 0
4090 b(c(12)) = 0: c(12) = 0
4120 Next j12
b(c(2)) = 0: c(2) = 0
4020 b(c(3)) = 0: c(3) = 0
4030 b(c(14)) = 0: c(14) = 0
4140 b(c(15)) = 0: c(15) = 0
4150 Next j15
b(c(4)) = 0: c(4) = 0
4040 b(c(7)) = 0: c(7) = 0
4070 b(c(10)) = 0: c(10) = 0
4100 Next j10
b(c(13)) = 0: c(13) = 0
4130 Next j13
b(c(1)) = 0: c(1) = 0
4010 b(c(6)) = 0: c(6) = 0
4060 Next j6
b(c(11)) = 0: c(11) = 0
4110 Next j11
b(c(16)) = 0: c(16) = 0
4160 Next j16
Return
' Complete Eccentrc Squares A1/2 (8 x 8)
5000 fl1 = 1
' Determine Main Diagonal and related pairs
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(9) = Pr4 - a(1): If b(a(9)) = 0 Then b(a(9)) = a(9): c(9) = a(9) Else GoTo 90
For j2 = m2 To m1 Step -1
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(10) = Pr4 - a(2): If b(a(10)) = 0 Then b(a(10)) = a(10): c(10) = a(10) Else GoTo 100
For j25 = m1 To m2
If b1(a1(j25)) = 0 Then GoTo 250
If b(a1(j25)) = 0 Then b(a1(j25)) = a1(j25): c(25) = a1(j25) Else GoTo 250
a(25) = a1(j25)
a(26) = Pr4 - a(25): If b(a(26)) = 0 Then b(a(26)) = a(26): c(26) = a(26) Else GoTo 260
a(28) = s8 - d2(n10) - a(25) - a(10) - a(1)
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(27) = Pr4 - a(28): If b(a(27)) = 0 Then b(a(27)) = a(27): c(27) = a(27) Else GoTo 270
' Determine remainder of the pairs
For j7 = m1 To m2
If b1(a1(j7)) = 0 Then GoTo 70
If b(a1(j7)) = 0 Then b(a1(j7)) = a1(j7): c(7) = a1(j7) Else GoTo 70
a(7) = a1(j7)
a(16) = Pr4 - a(7): If b(a(16)) = 0 Then b(a(16)) = a(16): c(16) = a(16) Else GoTo 160
For j8 = m2 To m1 Step -1
If b1(a1(j8)) = 0 Then GoTo 80
If b(a1(j8)) = 0 Then b(a1(j8)) = a1(j8): c(8) = a1(j8) Else GoTo 80
a(8) = a1(j8)
a(15) = Pr4 - a(8): If b(a(15)) = 0 Then b(a(15)) = a(15): c(15) = a(15) Else GoTo 150
For j3 = m2 To m1 Step -1
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(11) = Pr4 - a(3): If b(a(11)) = 0 Then b(a(11)) = a(11): c(11) = a(11) Else GoTo 110
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(12) = Pr4 - a(4): If b(a(12)) = 0 Then b(a(12)) = a(12): c(12) = a(12) Else GoTo 120
For j5 = m1 To m2
If b1(a1(j5)) = 0 Then GoTo 50
If b(a1(j5)) = 0 Then b(a1(j5)) = a1(j5): c(5) = a1(j5) Else GoTo 50
a(5) = a1(j5)
a(13) = Pr4 - a(5): If b(a(13)) = 0 Then b(a(13)) = a(13): c(13) = a(13) Else GoTo 130
a(6) = s8 - a(1) - a(2) - a(3) - a(4) - a(5) - a(7) - a(8)
If a(6) < a1(m1) Or a(6) > a1(m2) Then GoTo 60:
If b1(a(6)) = 0 Then GoTo 60
If b(a(6)) = 0 Then b(a(6)) = a(6): c(6) = a(6) Else GoTo 60
a(14) = Pr4 - a(6): If b(a(14)) = 0 Then b(a(14)) = a(14): c(14) = a(14) Else GoTo 140
For j17 = m2 To m1 Step -1
If b1(a1(j17)) = 0 Then GoTo 170
If b(a1(j17)) = 0 Then b(a1(j17)) = a1(j17): c(17) = a1(j17) Else GoTo 170
a(17) = a1(j17)
a(18) = Pr4 - a(17): If b(a(18)) = 0 Then b(a(18)) = a(18): c(18) = a(18) Else GoTo 180
For j19 = m1 To m2
If b1(a1(j19)) = 0 Then GoTo 190
If b(a1(j19)) = 0 Then b(a1(j19)) = a1(j19): c(19) = a1(j19) Else GoTo 190
a(19) = a1(j19)
a(20) = Pr4 - a(19): If b(a(20)) = 0 Then b(a(20)) = a(20): c(20) = a(20) Else GoTo 200
For j21 = m2 To m1 Step -1
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(22) = Pr4 - a(21): If b(a(22)) = 0 Then b(a(22)) = a(22): c(22) = a(22) Else GoTo 220
a(23) = s8 - a(7) - a(15) - a(17) - a(19) - a(21) - a(25) - a(27)
If a(23) < a1(m1) Or a(23) > a1(m2) Then GoTo 230:
If b1(a(23)) = 0 Then GoTo 230
If b(a(23)) = 0 Then b(a(23)) = a(23): c(23) = a(23) Else GoTo 230
a(24) = Pr4 - a(23): If b(a(24)) = 0 Then b(a(24)) = a(24): c(24) = a(24) Else GoTo 240
Return
b(c(24)) = 0: c(24) = 0
240 b(c(23)) = 0: c(23) = 0
230 b(c(22)) = 0: c(22) = 0
220 b(c(21)) = 0: c(21) = 0
210 Next j21
b(c(20)) = 0: c(20) = 0
200 b(c(19)) = 0: c(19) = 0
190 Next j19
b(c(18)) = 0: c(18) = 0
180 b(c(17)) = 0: c(17) = 0
170 Next j17
b(c(14)) = 0: c(14) = 0
140 b(c(6)) = 0: c(6) = 0
60 b(c(13)) = 0: c(13) = 0
130 b(c(5)) = 0: c(5) = 0
50 Next j5
b(c(12)) = 0: c(12) = 0
120 b(c(4)) = 0: c(4) = 0
40 Next j4
b(c(11)) = 0: c(11) = 0
110 b(c(3)) = 0: c(3) = 0
30 Next j3
b(c(15)) = 0: c(15) = 0
150 b(c(8)) = 0: c(8) = 0
80 Next j8
b(c(16)) = 0: c(16) = 0
160 b(c(7)) = 0: c(7) = 0
70 Next j7
b(c(27)) = 0: c(27) = 0
270 b(c(28)) = 0: c(28) = 0
280 b(c(26)) = 0: c(26) = 0
260 b(c(25)) = 0: c(25) = 0
250 Next j25
b(c(10)) = 0: c(10) = 0
100 b(c(2)) = 0: c(2) = 0
20 Next j2
b(c(9)) = 0: c(9) = 0
90 b(c(1)) = 0: c(1) = 0
10 Next j1
fl1 = 0
Return
' Complete Eccentrc Squares B1/2 (10 x 10)
7000 fl1 = 1
' Determine Main Diagonal and related pairs
For j1 = m1 To m2
If b1(a1(j1)) = 0 Then GoTo 7010
If b(a1(j1)) = 0 Then b(a1(j1)) = a1(j1): c(1) = a1(j1) Else GoTo 7010
a(1) = a1(j1)
a(11) = Pr4 - a(1): If b(a(11)) = 0 Then b(a(11)) = a(11): c(11) = a(11) Else GoTo 7110
For j2 = m2 To m1 Step -1
If b1(a1(j2)) = 0 Then GoTo 7020
If b(a1(j2)) = 0 Then b(a1(j2)) = a1(j2): c(2) = a1(j2) Else GoTo 7020
a(2) = a1(j2)
a(12) = Pr4 - a(2): If b(a(12)) = 0 Then b(a(12)) = a(12): c(12) = a(12) Else GoTo 7120
For j33 = m1 To m2
If b1(a1(j33)) = 0 Then GoTo 7330
If b(a1(j33)) = 0 Then b(a1(j33)) = a1(j33): c(33) = a1(j33) Else GoTo 7330
a(33) = a1(j33)
a(34) = Pr4 - a(33): If b(a(34)) = 0 Then b(a(34)) = a(34): c(34) = a(34) Else GoTo 7340
a(36) = s10 - d2(n10) - a(33) - a(12) - a(1)
If a(36) < a1(m1) Or a(36) > a1(m2) Then GoTo 7360:
If b1(a(36)) = 0 Then GoTo 7360
If b(a(36)) = 0 Then b(a(36)) = a(36): c(36) = a(36) Else GoTo 7360
a(35) = Pr4 - a(36): If b(a(35)) = 0 Then b(a(35)) = a(35): c(35) = a(35) Else GoTo 7350
For j3 = m2 To m1 Step -1
If b1(a1(j3)) = 0 Then GoTo 7030
If b(a1(j3)) = 0 Then b(a1(j3)) = a1(j3): c(3) = a1(j3) Else GoTo 7030
a(3) = a1(j3)
a(13) = Pr4 - a(3): If b(a(13)) = 0 Then b(a(13)) = a(13): c(13) = a(13) Else GoTo 7130
For j4 = m1 To m2
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(14) = Pr4 - a(4): If b(a(14)) = 0 Then b(a(14)) = a(14): c(14) = a(14) Else GoTo 7140
For j5 = m2 To m1 Step -1
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(15) = Pr4 - a(5): If b(a(15)) = 0 Then b(a(15)) = a(15): c(15) = a(15) Else GoTo 7150
For j6 = m1 To m2
If b1(a1(j6)) = 0 Then GoTo 7060
If b(a1(j6)) = 0 Then b(a1(j6)) = a1(j6): c(6) = a1(j6) Else GoTo 7060
a(6) = a1(j6)
a(16) = Pr4 - a(6): If b(a(16)) = 0 Then b(a(16)) = a(16): c(16) = a(16) Else GoTo 7160
For j7 = m2 To m1 Step -1
If b1(a1(j7)) = 0 Then GoTo 7070
If b(a1(j7)) = 0 Then b(a1(j7)) = a1(j7): c(7) = a1(j7) Else GoTo 7070
a(7) = a1(j7)
a(17) = Pr4 - a(7): If b(a(17)) = 0 Then b(a(17)) = a(17): c(17) = a(17) Else GoTo 7170
For j9 = m2 To m1 Step -1
If b1(a1(j9)) = 0 Then GoTo 7090
If b(a1(j9)) = 0 Then b(a1(j9)) = a1(j9): c(9) = a1(j9) Else GoTo 7090
a(9) = a1(j9)
a(20) = Pr4 - a(9): If b(a(20)) = 0 Then b(a(20)) = a(20): c(20) = a(20) Else GoTo 7200
For j10 = m1 To m2
If b1(a1(j10)) = 0 Then GoTo 7100
If b(a1(j10)) = 0 Then b(a1(j10)) = a1(j10): c(10) = a1(j10) Else GoTo 7100
a(10) = a1(j10)
a(19) = Pr4 - a(10): If b(a(19)) = 0 Then b(a(19)) = a(19): c(19) = a(19) Else GoTo 7190
a(8) = s10 - a(1) - a(2) - a(3) - a(4) - a(5) - a(6) - a(7) - a(9) - a(10)
If a(8) < a1(m1) Or a(8) > a1(m2) Then GoTo 7080:
If b1(a(8)) = 0 Then GoTo 7080
If b(a(8)) = 0 Then b(a(8)) = a(8): c(8) = a(8) Else GoTo 7080
a(18) = Pr4 - a(8): If b(a(18)) = 0 Then b(a(18)) = a(18): c(18) = a(18) Else GoTo 7180
For j21 = m2 To m1 Step -1
If b1(a1(j21)) = 0 Then GoTo 7210
If b(a1(j21)) = 0 Then b(a1(j21)) = a1(j21): c(21) = a1(j21) Else GoTo 7210
a(21) = a1(j21)
a(22) = Pr4 - a(21): If b(a(22)) = 0 Then b(a(22)) = a(22): c(22) = a(22) Else GoTo 7220
For j23 = m1 To m2
If b1(a1(j23)) = 0 Then GoTo 7230
If b(a1(j23)) = 0 Then b(a1(j23)) = a1(j23): c(23) = a1(j23) Else GoTo 7230
a(23) = a1(j23)
a(24) = Pr4 - a(23): If b(a(24)) = 0 Then b(a(24)) = a(24): c(24) = a(24) Else GoTo 7240
For j25 = m2 To m1 Step -1
If b1(a1(j25)) = 0 Then GoTo 7250
If b(a1(j25)) = 0 Then b(a1(j25)) = a1(j25): c(25) = a1(j25) Else GoTo 7250
a(25) = a1(j25)
a(26) = Pr4 - a(25): If b(a(26)) = 0 Then b(a(26)) = a(26): c(26) = a(26) Else GoTo 7260
For j27 = m1 To m2
If b1(a1(j27)) = 0 Then GoTo 7270
If b(a1(j27)) = 0 Then b(a1(j27)) = a1(j27): c(27) = a1(j27) Else GoTo 7270
a(27) = a1(j27)
a(28) = Pr4 - a(27): If b(a(28)) = 0 Then b(a(28)) = a(28): c(28) = a(28) Else GoTo 7280
For j29 = m2 To m1 Step -1
If b1(a1(j29)) = 0 Then GoTo 7290
If b(a1(j29)) = 0 Then b(a1(j29)) = a1(j29): c(29) = a1(j29) Else GoTo 7290
a(29) = a1(j29)
a(30) = Pr4 - a(29): If b(a(30)) = 0 Then b(a(30)) = a(30): c(30) = a(30) Else GoTo 7300
a(31) = s10 - a(9) - a(19) - a(21) - a(23) - a(25) - a(27) - a(29) - a(33) - a(35)
If a(31) < a1(m1) Or a(31) > a1(m2) Then GoTo 7310:
If b1(a(31)) = 0 Then GoTo 7310
If b(a(31)) = 0 Then b(a(31)) = a(31): c(31) = a(31) Else GoTo 7310
a(32) = Pr4 - a(31): If b(a(32)) = 0 Then b(a(32)) = a(32): c(32) = a(32) Else GoTo 7320
Return
b(c(32)) = 0: c(32) = 0
7320 b(c(31)) = 0: c(31) = 0
7310 b(c(30)) = 0: c(30) = 0
7300 b(c(29)) = 0: c(29) = 0
7290 Next j29
b(c(28)) = 0: c(28) = 0
7280 b(c(27)) = 0: c(27) = 0
7270 Next j27
b(c(26)) = 0: c(26) = 0
7260 b(c(25)) = 0: c(25) = 0
7250 Next j25
b(c(24)) = 0: c(24) = 0
7240 b(c(23)) = 0: c(23) = 0
7230 Next j23
b(c(22)) = 0: c(22) = 0
7220 b(c(21)) = 0: c(21) = 0
7210 Next j21
b(c(18)) = 0: c(18) = 0
7180 b(c(8)) = 0: c(8) = 0
7080 b(c(19)) = 0: c(19) = 0
7190 b(c(10)) = 0: c(10) = 0
7100 Next j10
b(c(20)) = 0: c(20) = 0
7200 b(c(9)) = 0: c(9) = 0
7090 Next j9
b(c(17)) = 0: c(17) = 0
7170 b(c(7)) = 0: c(7) = 0
7070 Next j7
b(c(16)) = 0: c(16) = 0
7160 b(c(6)) = 0: c(6) = 0
7060 Next j6
b(c(15)) = 0: c(15) = 0
7150 b(c(5)) = 0: c(5) = 0
7050 Next j5
b(c(14)) = 0: c(14) = 0
7140 b(c(4)) = 0: c(4) = 0
7040 Next j4
b(c(13)) = 0: c(13) = 0
7130 b(c(3)) = 0: c(3) = 0
7030 Next j3
b(c(35)) = 0: c(35) = 0
7350 b(c(36)) = 0: c(36) = 0
7360 b(c(34)) = 0: c(34) = 0
7340 b(c(33)) = 0: c(33) = 0
7330 Next j33
b(c(12)) = 0: c(12) = 0
7120 b(c(2)) = 0: c(2) = 0
7020 Next j2
b(c(11)) = 0: c(11) = 0
7110 b(c(1)) = 0: c(1) = 0
7010 Next j1
fl1 = 0
Return
' Print results (Selecyted Integers)
1640
For i1 = 1 To 196
Cells(n9, i1).Value = a14(i1)
Next i1
Cells(n9, 197).Value = s14
Cells(n9, 198).Value = j100
Return
' Print results (Squares)
1650 n2 = n2 + 1
If n2 = 3 Then
n2 = 1: k1 = k1 + 15: k2 = 1
Else
If n9 > 1 Then k2 = k2 + 15
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 14
For i2 = 1 To 14
i3 = i3 + 1
Cells(k1 + i1, k2 + i2).Value = a14(i3)
Next i2
Next i1
Return
' Assign Center Square
700
a14(61) = a(1): a14(62) = a(2): a14(63) = a(3): a14(64) = a(4): a14(65) = a(5): a14(66) = a(6):
a14(75) = a(7): a14(76) = a(8): a14(77) = a(9): a14(78) = a(10): a14(79) = a(11): a14(80) = a(12):
a14(89) = a(13): a14(90) = a(14): a14(91) = a(15): a14(92) = a(16): a14(93) = a(17): a14(94) = a(18):
a14(103) = a(19): a14(104) = a(20): a14(105) = a(21): a14(106) = a(22): a14(107) = a(23): a14(108) = a(24):
a14(117) = a(25): a14(118) = a(26): a14(119) = a(27): a14(120) = a(28): a14(121) = a(29): a14(122) = a(30):
a14(131) = a(31): a14(132) = a(32): a14(133) = a(33): a14(134) = a(34): a14(135) = a(35): a14(136) = a(36):
Return
' Exclude solutions with identical numbers a()
800 fl1 = 1
For j1 = 1 To n32
a20 = a(j1)
For j2 = (1 + j1) To n32
If a20 = a(j2) Then fl1 = 0: Return
Next j2
Next j1
Return
' Exclude solutions with identical numbers a14()
850 fl1 = 1
For j1 = 1 To 196
a20 = a14(j1): If a20 = 0 Then GoTo 855
For j2 = (1 + j1) To 196
If a20 = a14(j2) Then fl1 = 0: Return
Next j2
855 Next j1
Return
' Remove used integers a() from available integers b1()
900 For i1 = 1 To n32
b1(a(i1)) = 0
Next i1
Return
End Sub
