' Generates Concentric Magic Squares of order 6, Magic Sum 111
' Tested with Office 2007 under Windows 7
Sub MgcSqr6e()
Dim a(36), b(36), c(36)
y = MsgBox("Locked", vbCritical, "Routine MgcSqr6e")
End
n2 = 0: n9 = 0
m1 = 1: m2 = 36: s1 = 111
' Generate data
Sheets("Klad1").Select
t1 = Timer
For j36 = m1 To m2 '9 'a(36)
If b(j36) = 0 Then b(j36) = j36: c(36) = j36 Else GoTo 360
a(36) = j36
a(1) = 37 - a(36): If a(1) <= 0 Or a(1) > 36 Then GoTo 10
If b(a(1)) = 0 Then b(a(1)) = a(1): c(1) = a(1) Else GoTo 10
For j35 = m1 To m2 '2 'a(35)
If b(j35) = 0 Then b(j35) = j35: c(35) = j35 Else GoTo 350
a(35) = j35
a(5) = 37 - a(35): If a(5) <= 0 Or a(5) > 36 Then GoTo 50
If b(a(5)) = 0 Then b(a(5)) = a(5): c(5) = a(5) Else GoTo 50
For j34 = m1 To m2 '6 'a(34)
If b(j34) = 0 Then b(j34) = j34: c(34) = j34 Else GoTo 340
a(34) = j34
a(4) = 37 - a(34): If a(4) <= 0 Or a(4) > 36 Then GoTo 40
If b(a(4)) = 0 Then b(a(4)) = a(4): c(4) = a(4) Else GoTo 40
For j33 = m1 To m2 '34 'a(33)
If b(j33) = 0 Then b(j33) = j33: c(33) = j33 Else GoTo 330
a(33) = j33
a(3) = 37 - a(33): If a(3) <= 0 Or a(3) > 36 Then GoTo 30
If b(a(3)) = 0 Then b(a(3)) = a(3): c(3) = a(3) Else GoTo 30
For j32 = m1 To m2 '33 'a(32)
If b(j32) = 0 Then b(j32) = j32: c(32) = j32 Else GoTo 320
a(32) = j32
a(31) = 111 - a(32) - a(33) - a(34) - a(35) - a(36)
If a(31) <= 0 Or a(31) > 36 Then GoTo 310
If b(a(31)) = 0 Then b(a(31)) = a(31): c(31) = a(31) Else GoTo 310
a(6) = -74 + a(32) + a(33) + a(34) + a(35) + a(36)
If a(6) <= 0 Or a(6) > 36 Then GoTo 60
If b(a(6)) = 0 Then b(a(6)) = a(6): c(6) = a(6) Else GoTo 60
a(2) = 37 - a(32): If a(2) <= 0 Or a(2) > 36 Then GoTo 20
If b(a(2)) = 0 Then b(a(2)) = a(2): c(2) = a(2) Else GoTo 20
For j30 = m1 To m2 '32 'a(30)
If b(j30) = 0 Then b(j30) = j30: c(30) = j30 Else GoTo 300
a(30) = j30
a(25) = 37 - a(30): If a(25) <= 0 Or a(25) > 36 Then GoTo 250
If b(a(25)) = 0 Then b(a(25)) = a(25): c(25) = a(25) Else GoTo 250
For j29 = 25 To 25 '25 'a(29)
If b(j29) = 0 Then b(j29) = j29: c(29) = j29 Else GoTo 290
a(29) = j29
a(15) = 37 - a(29): If a(15) <= 0 Or a(15) > 36 Then GoTo 150
If b(a(15)) = 0 Then b(a(15)) = a(15): c(15) = a(15) Else GoTo 150
For j28 = 14 To 14 '14 'a(28)
If b(j28) = 0 Then b(j28) = j28: c(28) = j28 Else GoTo 280
a(28) = j28
a(14) = 37 - a(28): If a(14) <= 0 Or a(14) > 36 Then GoTo 140
If b(a(14)) = 0 Then b(a(14)) = a(14): c(14) = a(14) Else GoTo 140
For j27 = 15 To 15 '15 'a(27)
If b(j27) = 0 Then b(j27) = j27: c(27) = j27 Else GoTo 270
a(27) = j27
a(26) = 74 - a(27) - a(28) - a(29)
If a(26) <= 0 Or a(26) > 36 Then GoTo 260
If b(a(26)) = 0 Then b(a(26)) = a(26): c(26) = a(26) Else GoTo 260
a(17) = 37 - a(27): If a(17) <= 0 Or a(17) > 36 Then GoTo 170
If b(a(17)) = 0 Then b(a(17)) = a(17): c(17) = a(17) Else GoTo 170
a(16) = -37 + a(27) + a(28) + a(29)
If a(16) <= 0 Or a(16) > 36 Then GoTo 160
If b(a(16)) = 0 Then b(a(16)) = a(16): c(16) = a(16) Else GoTo 160
For j24 = 29 To 29 '29 'a(24)
If b(j24) = 0 Then b(j24) = j24: c(24) = j24 Else GoTo 240
a(24) = j24
a(19) = 37 - a(24)
If a(19) <= 0 Or a(19) > 36 Then GoTo 190
If b(a(19)) = 0 Then b(a(19)) = a(19): c(19) = a(19) Else GoTo 190
For j23 = 16 To 16 '16 'a(23)
If b(j23) = 0 Then b(j23) = j23: c(23) = j23 Else GoTo 230
a(23) = j23
a(22) = 74 - a(23) - a(28) - a(29)
If a(22) <= 0 Or a(22) > 36 Then GoTo 220
If b(a(22)) = 0 Then b(a(22)) = a(22): c(22) = a(22) Else GoTo 220
a(21) = a(23) - a(27) + a(29)
If a(21) <= 0 Or a(21) > 36 Then GoTo 210
If b(a(21)) = 0 Then b(a(21)) = a(21): c(21) = a(21) Else GoTo 210
a(20) = -a(23) + a(27) + a(28)
If a(20) <= 0 Or a(20) > 36 Then GoTo 200
If b(a(20)) = 0 Then b(a(20)) = a(20): c(20) = a(20) Else GoTo 200
a(11) = 37 - a(23) + a(27) - a(29)
If a(11) <= 0 Or a(11) > 36 Then GoTo 110
If b(a(11)) = 0 Then b(a(11)) = a(11): c(11) = a(11) Else GoTo 110
a(10) = 37 + a(23) - a(27) - a(28)
If a(10) <= 0 Or a(10) > 36 Then GoTo 100
If b(a(10)) = 0 Then b(a(10)) = a(10): c(10) = a(10) Else GoTo 100
a(9) = 37 - a(23): If a(9) <= 0 Or a(9) > 36 Then GoTo 90
If b(a(9)) = 0 Then b(a(9)) = a(9): c(9) = a(9) Else GoTo 90
a(8) = -37 + a(23) + a(28) + a(29)
If a(8) <= 0 Or a(8) > 36 Then GoTo 80
If b(a(8)) = 0 Then b(a(8)) = a(8): c(8) = a(8) Else GoTo 80
For j18 = 30 To 30 '30 'a(18)
If b(j18) = 0 Then b(j18) = j18: c(18) = j18 Else GoTo 180
a(18) = j18
a(13) = 37 - a(18)
If a(13) <= 0 Or a(13) > 36 Then GoTo 130
If b(a(13)) = 0 Then b(a(13)) = a(13): c(13) = a(13) Else GoTo 130
a(12) = 74 - a(18) - a(24) - a(30) + a(31) - a(36)
If a(12) <= 0 Or a(12) > 36 Then GoTo 120
If b(a(12)) = 0 Then b(a(12)) = a(12): c(12) = a(12) Else GoTo 120
a(7) = -148 + a(18) + a(24) + a(30) + a(32) + a(33) + a(34) + a(35) + 2 * a(36)
If a(7) <= 0 Or a(7) > 36 Then GoTo 70
If b(a(7)) = 0 Then b(a(7)) = a(7): c(7) = a(7) Else GoTo 70
n9 = n9 + 1
GoSub 2650 'Print results (squares)
' GoSub 2645 'Print results (selected numbers)
b(c(7)) = 0: c(7) = 0
70 b(c(12)) = 0: c(12) = 0
120 b(c(13)) = 0: c(13) = 0
130 b(c(18)) = 0: c(18) = 0
180 Next j18
b(c(8)) = 0: c(8) = 0
80 b(c(9)) = 0: c(9) = 0
90 b(c(10)) = 0: c(10) = 0
100 b(c(11)) = 0: c(11) = 0
110 b(c(20)) = 0: c(20) = 0
200 b(c(21)) = 0: c(21) = 0
210 b(c(22)) = 0: c(22) = 0
220 b(c(23)) = 0: c(23) = 0
230 Next j23
b(c(19)) = 0: c(19) = 0
190 b(c(24)) = 0: c(24) = 0
240 Next j24
b(c(16)) = 0: c(16) = 0
160 b(c(17)) = 0: c(17) = 0
170 b(c(26)) = 0: c(26) = 0
260 b(c(27)) = 0: c(27) = 0
270 Next j27
b(c(14)) = 0: c(14) = 0
140 b(c(28)) = 0: c(28) = 0
280 Next j28
b(c(15)) = 0: c(15) = 0
150 b(c(29)) = 0: c(29) = 0
290 Next j29
b(c(25)) = 0: c(25) = 0
250 b(c(30)) = 0: c(30) = 0
300 Next j30
b(c(2)) = 0: c(2) = 0
20 b(c(6)) = 0: c(6) = 0
60 b(c(31)) = 0: c(31) = 0
310 b(c(32)) = 0: c(32) = 0
320 Next j32
b(c(3)) = 0: c(3) = 0
30 b(c(33)) = 0: c(33) = 0
330 Next j33
b(c(4)) = 0: c(4) = 0
40 b(c(34)) = 0: c(34) = 0
340 Next j34
b(c(5)) = 0: c(5) = 0
50 b(c(35)) = 0: c(35) = 0
350 Next j35
b(c(1)) = 0: c(1) = 0
10 b(c(36)) = 0: c(36) = 0
360 Next j36
t2 = Timer
t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s1)
y = MsgBox(t10, 0, "Routine MgcSqr6e")
End
' Print results (selected numbers)
2645 For i1 = 1 To 36
Cells(n9, i1).Value = a(i1)
Next i1
Return
' Print results (squares)
2650 n2 = n2 + 1
If n2 = 5 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
End Sub
