' Generates Magic Squares of order 6 for distict integers (Symmetrical Main Diagonals)
' Tested with Office 2007 under Windows 7
Sub MgcSqr6c()
Dim a(36), b(36), c(36)
y = MsgBox("Locked", vbCritical, "Routine MgcSqr6c")
End
n2 = 0: n3 = 0: n9 = 0
m1 = 1: m2 = 36: s1 = 111
' Generate data
Sheets("Klad1").Select
t1 = Timer
For j36 = m1 To m2 'a(36)
If b(j36) = 0 Then b(j36) = j36: c(36) = j36 Else GoTo 360
j1 = s1 / 3 - j36
If b(j1) = 0 Then b(j1) = j1: c(1) = j1 Else GoTo 355
a(36) = j36: a(1) = j1
For j35 = m1 To m2 'a(35)
If b(j35) = 0 Then b(j35) = j35: c(35) = j35 Else GoTo 350
a(35) = j35
For j34 = m1 To m2 'a(34)
If b(j34) = 0 Then b(j34) = j34: c(34) = j34 Else GoTo 340
a(34) = j34
For j33 = m1 To m2 'a(33)
If b(j33) = 0 Then b(j33) = j33: c(33) = j33 Else GoTo 330
a(33) = j33
For j32 = m1 To m2 'a(32)
If b(j32) = 0 Then b(j32) = j32: c(32) = j32 Else GoTo 320
j31 = s1 - j32 - j33 - j34 - j35 - j36
If j31 <= 0 Or j31 > 36 Then GoTo 310
If b(j31) = 0 Then b(j31) = j31: c(31) = j31 Else GoTo 310
j6 = s1 / 3 - j31
If b(j6) = 0 Then b(j6) = j6: c(6) = j6 Else GoTo 305
a(32) = j32: a(31) = j31: a(6) = j6
For j30 = m1 To m2 'a(30)
If b(j30) = 0 Then b(j30) = j30: c(30) = j30 Else GoTo 300
a(30) = j30
For j29 = 26 To 26 'a(29)
If b(j29) = 0 Then b(j29) = j29: c(29) = j29 Else GoTo 290
j8 = s1 / 3 - j29
If b(j8) = 0 Then b(j8) = j8: c(8) = j8 Else GoTo 285
a(29) = j29: a(8) = j8
For j28 = 9 To 9 'a(28)
If b(j28) = 0 Then b(j28) = j28: c(28) = j28 Else GoTo 280
a(28) = j28
For j27 = 10 To 10 'a(27)
If b(j27) = 0 Then b(j27) = j27: c(27) = j27 Else GoTo 270
a(27) = j27
For j26 = 29 To 29 'a(26)
If b(j26) = 0 Then b(j26) = j26: c(26) = j26 Else GoTo 260
j25 = s1 - j26 - j27 - j28 - j29 - j30
If j25 <= 0 Or j25 > 36 Then GoTo 250
If b(j25) = 0 Then b(j25) = j25: c(25) = j25 Else GoTo 250
j11 = s1 / 3 - j26
If b(j11) = 0 Then b(j11) = j11: c(11) = j11 Else GoTo 245
a(26) = j26: a(25) = j25: a(11) = j11
For j24 = 13 To 13 'a(24)
If b(j24) = 0 Then b(j24) = j24: c(24) = j24 Else GoTo 240
a(24) = j24
For j23 = 17 To 17 'a(23)
If b(j23) = 0 Then b(j23) = j23: c(23) = j23 Else GoTo 230
a(23) = j23
For j22 = 21 To 21 'a(22)
If b(j22) = 0 Then b(j22) = j22: c(22) = j22 Else GoTo 220
j15 = s1 / 3 - j22
If b(j15) = 0 Then b(j15) = j15: c(15) = j15 Else GoTo 215
a(22) = j22: a(15) = j15
For j21 = 22 To 22 'a(21)
If b(j21) = 0 Then b(j21) = j21: c(21) = j21 Else GoTo 210
j16 = s1 / 3 - j21
If b(j16) = 0 Then b(j16) = j16: c(16) = j16 Else GoTo 205
a(21) = j21: a(16) = j16
For j20 = 20 To 20 'a(20)
If b(j20) = 0 Then b(j20) = j20: c(20) = j20 Else GoTo 200
j19 = s1 - j20 - j21 - j22 - j23 - j24
If j19 <= 0 Or j19 > 36 Then GoTo 190
If b(j19) = 0 Then b(j19) = j19: c(19) = j19 Else GoTo 190
a(20) = j20: a(19) = j19
For j18 = m1 To m2 'a(18)
If b(j18) = 0 Then b(j18) = j18: c(18) = j18 Else GoTo 180
j12 = 2 * s1 / 3 - j18 - j24 - j30 + j31 - j36
If j12 <= 0 Or j12 > 36 Then GoTo 175
If b(j12) = 0 Then b(j12) = j12: c(12) = j12 Else GoTo 175
a(18) = j18: a(12) = j12
For j17 = m1 To m2 'a(17)
If b(j17) = 0 Then b(j17) = j17: c(17) = j17 Else GoTo 170
j5 = 2 * s1 / 3 - j17 - j23 + j26 - j29 - j35
If j5 <= 0 Or j5 > 36 Then GoTo 165
If b(j5) = 0 Then b(j5) = j5: c(5) = j5 Else GoTo 165
a(17) = j17: a(5) = j5
For j14 = m1 To m2 'a(14)
If b(j14) = 0 Then b(j14) = j14: c(14) = j14 Else GoTo 140
j13 = s1 - j14 - j15 - j16 - j17 - j18
If j13 <= 0 Or j13 > 36 Then GoTo 130
If b(j13) = 0 Then b(j13) = j13: c(13) = j13 Else GoTo 130
j7 = s1 / 3 + j14 + j17 + j18 - j19 - j21 - j22 - j25 - j31 + j36
If j7 <= 0 Or j7 > 36 Then GoTo 125
If b(j7) = 0 Then b(j7) = j7: c(7) = j7 Else GoTo 125
j2 = 2 * s1 / 3 - j14 - j20 - j26 + j29 - j32
If j2 <= 0 Or j2 > 36 Then GoTo 120
If b(j2) = 0 Then b(j2) = j2: c(2) = j2 Else GoTo 120
a(14) = j14: a(13) = j13: a(7) = j7: a(2) = j2
For j10 = m1 To m2 'a(10)
If b(j10) = 0 Then b(j10) = j10: c(10) = j10 Else GoTo 100
a(10) = j10
a(9) = 4 * s1 / 3 - a(10) - a(14) - a(17) - a(20) - a(23) - a(27) - a(28)
If a(9) <= 0 Or a(9) > 36 Then GoTo 80
a(4) = 2 * s1 / 3 - a(10) + a(21) - a(22) - a(28) - a(34)
If a(4) <= 0 Or a(4) > 36 Then GoTo 80
a(3) = s1 / 3 + a(10) + a(14) + a(17) - a(19) - 2 * a(21) - a(24) + a(28) - a(33)
If a(3) <= 0 Or a(3) > 36 Then GoTo 80
' Exclude solutions with identical numbers
GoSub 800: If fl1 = 0 Then GoTo 80
' n9 = n9 + 1: GoSub 640 'Print results (selected numbers)
n9 = n9 + 1: GoSub 650 'Print results (squares)
80 b(c(10)) = 0: c(10) = 0
100 Next j10
b(c(2)) = 0: c(2) = 0
120 b(c(7)) = 0: c(7) = 0
125 b(c(13)) = 0: c(13) = 0
130 b(c(14)) = 0: c(14) = 0
140 Next j14
b(c(5)) = 0: c(5) = 0
165 b(c(17)) = 0: c(17) = 0
170 Next j17
b(c(12)) = 0: c(12) = 0
175 b(c(18)) = 0: c(18) = 0
180 Next j18
b(c(19)) = 0: c(19) = 0
190 b(c(20)) = 0: c(20) = 0
200 Next j20
b(c(16)) = 0: c(16) = 0
205 b(c(21)) = 0: c(21) = 0
210 Next j21
b(c(15)) = 0: c(15) = 0
215 b(c(22)) = 0: c(22) = 0
220 Next j22
b(c(23)) = 0: c(23) = 0
230 Next j23
b(c(24)) = 0: c(24) = 0
240 Next j24
b(c(11)) = 0: c(11) = 0
245 b(c(25)) = 0: c(25) = 0
250 b(c(26)) = 0: c(26) = 0
260 Next j26
b(c(27)) = 0: c(27) = 0
270 Next j27
b(c(28)) = 0: c(28) = 0
280 Next j28
b(c(8)) = 0: c(8) = 0
285 b(c(29)) = 0: c(29) = 0
290 Next j29
b(c(30)) = 0: c(30) = 0
300 Next j30
b(c(6)) = 0: c(6) = 0
305 b(c(31)) = 0: c(31) = 0
310 b(c(32)) = 0: c(32) = 0
320 Next j32
b(c(33)) = 0: c(33) = 0
330 Next j33
b(c(34)) = 0: c(34) = 0
340 Next j34
b(c(35)) = 0: c(35) = 0
350 Next j35
b(c(1)) = 0: c(1) = 0
355 b(c(36)) = 0: c(36) = 0
360 Next j36
t2 = Timer
t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Combinations"
y = MsgBox(t10, 0, "Routine MgcSqr6c")
End
' Print results (selected numbers)
640 For i1 = 1 To 36
Cells(n9, i1).Value = a(i1)
Next i1
Return
' Print results (squares)
650 n2 = n2 + 1
If n2 = 6 Then
n2 = 1: k1 = k1 + 7: k2 = 0
Else
If n9 > 1 Then k2 = k2 + 7
End If
Cells(k1 + 1, k2 + 1).Select
i3 = 0
For i1 = 1 To 6
For i2 = 1 To 6
i3 = i3 + 1
Cells(k1 + i1, k2 + i2).Value = a(i3)
Next i2
Next i1
Return
' Exclude solutions with identical numbers
800 fl1 = 1
For j1 = 1 To 36
a2 = a(j1)
For j2 = (1 + j1) To 36
If a2 = a(j2) Then fl1 = 0: GoTo 850
Next j2
Next j1
850 Return
End Sub
