' Generates Concentric Magic Squares of order 8
' Tested with Office 2007 under Windows 7
Sub MgcSqr8i()
Dim a(64), b(64), c(64)
y = MsgBox("Locked", vbCritical, "Routine MgcSqr8i")
End
n2 = 0: n9 = 0
m1 = 1: m2 = 64: s1 = 260
Sheets("Klad1").Select
t1 = Timer
For j64 = 8 To 8 'a(64)
If b(j64) = 0 Then b(j64) = j64: c(64) = j64 Else GoTo 640
a(64) = j64
a(1) = 65 - a(64)
If a(1) <= 0 Or a(1) > 64 Then GoTo 10
If b(a(1)) = 0 Then b(a(1)) = a(1): c(1) = a(1) Else GoTo 10
For j63 = 9 To 9 'a(63)
If b(j63) = 0 Then b(j63) = j63: c(63) = j63 Else GoTo 630
a(63) = j63
a(7) = 65 - a(63)
If a(7) <= 0 Or a(7) > 64 Then GoTo 70
If b(a(7)) = 0 Then b(a(7)) = a(7): c(7) = a(7) Else GoTo 70
For j62 = 55 To 55 'a(62)
If b(j62) = 0 Then b(j62) = j62: c(62) = j62 Else GoTo 620
a(62) = j62
a(6) = 65 - a(62)
If a(6) <= 0 Or a(6) > 64 Then GoTo 60
If b(a(6)) = 0 Then b(a(6)) = a(6): c(6) = a(6) Else GoTo 60
For j61 = 12 To 12 'a(61)
If b(j61) = 0 Then b(j61) = j61: c(61) = j61 Else GoTo 610
a(61) = j61
a(5) = 65 - a(61)
If a(5) <= 0 Or a(5) > 64 Then GoTo 50
If b(a(5)) = 0 Then b(a(5)) = a(5): c(5) = a(5) Else GoTo 50
For j60 = 52 To 52 'a(60)
If b(j60) = 0 Then b(j60) = j60: c(60) = j60 Else GoTo 600
a(60) = j60
a(4) = 65 - a(60)
If a(4) <= 0 Or a(4) > 64 Then GoTo 40
If b(a(4)) = 0 Then b(a(4)) = a(4): c(4) = a(4) Else GoTo 40
For j59 = 11 To 11 'a(59)
If b(j59) = 0 Then b(j59) = j59: c(59) = j59 Else GoTo 590
a(59) = j59
a(3) = 65 - a(59)
If a(3) <= 0 Or a(3) > 64 Then GoTo 30
If b(a(3)) = 0 Then b(a(3)) = a(3): c(3) = a(3) Else GoTo 30
For j58 = 51 To 51 'a(58)
If b(j58) = 0 Then b(j58) = j58: c(58) = j58 Else GoTo 580
a(58) = j58
a(57) = 260 - a(58) - a(59) - a(60) - a(61) - a(62) - a(63) - a(64)
If a(57) <= 0 Or a(57) > 64 Then GoTo 570
If b(a(57)) = 0 Then b(a(57)) = a(57): c(57) = a(57) Else GoTo 570
a(8) = 65 - a(57)
If a(8) <= 0 Or a(8) > 64 Then GoTo 80
If b(a(8)) = 0 Then b(a(8)) = a(8): c(8) = a(8) Else GoTo 80
a(2) = 65 - a(58)
If a(2) <= 0 Or a(2) > 64 Then GoTo 20
If b(a(2)) = 0 Then b(a(2)) = a(2): c(2) = a(2) Else GoTo 20
For j56 = 61 To 61 'a(56)
If b(j56) = 0 Then b(j56) = j56: c(56) = j56 Else GoTo 560
a(56) = j56
a(49) = 65 - a(56)
If a(49) <= 0 Or a(49) > 64 Then GoTo 490
If b(a(49)) = 0 Then b(a(49)) = a(49): c(49) = a(49) Else GoTo 490
For j55 = m1 To m2 'a(55)
If b(j55) = 0 Then b(j55) = j55: c(55) = j55 Else GoTo 550
a(55) = j55
a(10) = 65 - a(55)
If a(10) <= 0 Or a(10) > 64 Then GoTo 100
If b(a(10)) = 0 Then b(a(10)) = a(10): c(10) = a(10) Else GoTo 100
For j54 = m1 To m2 'a(54)
If b(j54) = 0 Then b(j54) = j54: c(54) = j54 Else GoTo 540
a(54) = j54
a(14) = 65 - a(54)
If a(14) <= 0 Or a(14) > 64 Then GoTo 140
If b(a(14)) = 0 Then b(a(14)) = a(14): c(14) = a(14) Else GoTo 140
For j53 = m1 To m2 'a(53)
If b(j53) = 0 Then b(j53) = j53: c(53) = j53 Else GoTo 530
a(53) = j53
a(13) = 65 - a(53)
If a(13) <= 0 Or a(13) > 64 Then GoTo 130
If b(a(13)) = 0 Then b(a(13)) = a(13): c(13) = a(13) Else GoTo 130
For j52 = m1 To m2 'a(52)
If b(j52) = 0 Then b(j52) = j52: c(52) = j52 Else GoTo 520
a(52) = j52
a(12) = 65 - a(52)
If a(12) <= 0 Or a(12) > 64 Then GoTo 120
If b(a(12)) = 0 Then b(a(12)) = a(12): c(12) = a(12) Else GoTo 120
For j51 = m1 To m2 'a(51)
If b(j51) = 0 Then b(j51) = j51: c(51) = j51 Else GoTo 510
a(51) = j51
a(50) = 195 - a(51) - a(52) - a(53) - a(54) - a(55)
If a(50) <= 0 Or a(50) > 64 Then GoTo 500
If b(a(50)) = 0 Then b(a(50)) = a(50): c(50) = a(50) Else GoTo 500
a(15) = -130 + a(51) + a(52) + a(53) + a(54) + a(55)
If a(15) <= 0 Or a(15) > 64 Then GoTo 150
If b(a(15)) = 0 Then b(a(15)) = a(15): c(15) = a(15) Else GoTo 150
a(11) = 65 - a(51)
If a(11) <= 0 Or a(11) > 64 Then GoTo 110
If b(a(11)) = 0 Then b(a(11)) = a(11): c(11) = a(11) Else GoTo 110
For j48 = 60 To 60 'a(48)
If b(j48) = 0 Then b(j48) = j48: c(48) = j48 Else GoTo 480
a(48) = j48
a(41) = 65 - a(48)
If a(41) <= 0 Or a(41) > 64 Then GoTo 410
If b(a(41)) = 0 Then b(a(41)) = a(41): c(41) = a(41) Else GoTo 410
For j47 = m1 To m2 'a(47)
If b(j47) = 0 Then b(j47) = j47: c(47) = j47 Else GoTo 470
a(47) = j47
a(42) = 65 - a(47)
If a(42) <= 0 Or a(42) > 64 Then GoTo 420
If b(a(42)) = 0 Then b(a(42)) = a(42): c(42) = a(42) Else GoTo 420
For j46 = 25 To 25 'a(46)
If b(j46) = 0 Then b(j46) = j46: c(46) = j46 Else GoTo 460
a(46) = j46
a(28) = 65 - a(46)
If a(28) <= 0 Or a(28) > 64 Then GoTo 280
If b(a(28)) = 0 Then b(a(28)) = a(28): c(28) = a(28) Else GoTo 280
For j45 = 32 To 32 'a(45)
If b(j45) = 0 Then b(j45) = j45: c(45) = j45 Else GoTo 450
a(45) = j45
a(27) = 65 - a(45)
If a(27) <= 0 Or a(27) > 64 Then GoTo 270
If b(a(27)) = 0 Then b(a(27)) = a(27): c(27) = a(27) Else GoTo 270
For j44 = 34 To 34 'a(44)
If b(j44) = 0 Then b(j44) = j44: c(44) = j44 Else GoTo 440
a(44) = j44
a(43) = 130 - a(44) - a(45) - a(46)
If a(43) <= 0 Or a(43) > 64 Then GoTo 430
If b(a(43)) = 0 Then b(a(43)) = a(43): c(43) = a(43) Else GoTo 430
a(30) = 65 - a(44)
If a(30) <= 0 Or a(30) > 64 Then GoTo 300
If b(a(30)) = 0 Then b(a(30)) = a(30): c(30) = a(30) Else GoTo 300
a(29) = -65 + a(44) + a(45) + a(46)
If a(29) <= 0 Or a(29) > 64 Then GoTo 290
If b(a(29)) = 0 Then b(a(29)) = a(29): c(29) = a(29) Else GoTo 290
For j40 = 6 To 6 'a(40)
If b(j40) = 0 Then b(j40) = j40: c(40) = j40 Else GoTo 400
a(40) = j40
a(33) = 65 - a(40)
If a(33) <= 0 Or a(33) > 64 Then GoTo 330
If b(a(33)) = 0 Then b(a(33)) = a(33): c(33) = a(33) Else GoTo 330
For j39 = 43 To 43 'a(39)
If b(j39) = 0 Then b(j39) = j39: c(39) = j39 Else GoTo 390
a(39) = j39
a(34) = 65 - a(39)
If a(34) <= 0 Or a(34) > 64 Then GoTo 340
If b(a(34)) = 0 Then b(a(34)) = a(34): c(34) = a(34) Else GoTo 340
For j38 = 36 To 36 'a(38)
If b(j38) = 0 Then b(j38) = j38: c(38) = j38 Else GoTo 380
a(38) = j38
a(37) = 130 - a(38) - a(45) - a(46)
If a(37) <= 0 Or a(37) > 64 Then GoTo 370
If b(a(37)) = 0 Then b(a(37)) = a(37): c(37) = a(37) Else GoTo 370
a(36) = a(38) - a(44) + a(46)
If a(36) <= 0 Or a(36) > 64 Then GoTo 360
If b(a(36)) = 0 Then b(a(36)) = a(36): c(36) = a(36) Else GoTo 360
a(35) = -a(38) + a(44) + a(45)
If a(35) <= 0 Or a(35) > 64 Then GoTo 350
If b(a(35)) = 0 Then b(a(35)) = a(35): c(35) = a(35) Else GoTo 350
a(22) = 65 - a(38) + a(44) - a(46)
If a(22) <= 0 Or a(22) > 64 Then GoTo 220
If b(a(22)) = 0 Then b(a(22)) = a(22): c(22) = a(22) Else GoTo 220
a(21) = 65 + a(38) - a(44) - a(45)
If a(21) <= 0 Or a(21) > 64 Then GoTo 210
If b(a(21)) = 0 Then b(a(21)) = a(21): c(21) = a(21) Else GoTo 210
a(20) = 65 - a(38)
If a(20) <= 0 Or a(20) > 64 Then GoTo 200
If b(a(20)) = 0 Then b(a(20)) = a(20): c(20) = a(20) Else GoTo 200
a(19) = -65 + a(38) + a(45) + a(46)
If a(19) <= 0 Or a(19) > 64 Then GoTo 190
If b(a(19)) = 0 Then b(a(19)) = a(19): c(19) = a(19) Else GoTo 190
For j32 = 58 To 58 'a(32)
If b(j32) = 0 Then b(j32) = j32: c(32) = j32 Else GoTo 320
a(32) = j32
a(25) = 65 - a(32)
If a(25) <= 0 Or a(25) > 64 Then GoTo 250
If b(a(25)) = 0 Then b(a(25)) = a(25): c(25) = a(25) Else GoTo 250
For j31 = 44 To 44 'a(31)
If b(j31) = 0 Then b(j31) = j31: c(31) = j31 Else GoTo 310
a(31) = j31
a(26) = 65 - a(31)
If a(26) <= 0 Or a(26) > 64 Then GoTo 260
If b(a(26)) = 0 Then b(a(26)) = a(26): c(26) = a(26) Else GoTo 260
a(23) = 130 - a(31) - a(39) - a(47) + a(50) - a(55)
If a(23) <= 0 Or a(23) > 64 Then GoTo 230
If b(a(23)) = 0 Then b(a(23)) = a(23): c(23) = a(23) Else GoTo 230
a(18) = -260 + a(31) + a(39) + a(47) + a(51) + a(52) + a(53) + a(54) + 2 * a(55)
If a(18) <= 0 Or a(18) > 64 Then GoTo 180
If b(a(18)) = 0 Then b(a(18)) = a(18): c(18) = a(18) Else GoTo 180
For j24 = 1 To 1 'a(24)
If b(j24) = 0 Then b(j24) = j24: c(24) = j24 Else GoTo 240
a(24) = j24
a(17) = 65 - a(24)
If a(17) <= 0 Or a(17) > 64 Then GoTo 170
If b(a(17)) = 0 Then b(a(17)) = a(17): c(17) = a(17) Else GoTo 170
a(16) = 195 - a(24) - a(32) - a(40) - a(48) - a(56) + a(57) - a(64)
If a(16) <= 0 Or a(16) > 64 Then GoTo 160
If b(a(16)) = 0 Then b(a(16)) = a(16): c(16) = a(16) Else GoTo 160
a(9) = 65 - a(16)
If a(9) <= 0 Or a(9) > 64 Then GoTo 90
If b(a(9)) = 0 Then b(a(9)) = a(9): c(9) = a(9) Else GoTo 90
n9 = n9 + 1
GoSub 2650 'Print results (squares)
' GoSub 2645 'Print results (selected numbers)
b(c(9)) = 0: c(9) = 0
90 b(c(16)) = 0: c(16) = 0
160 b(c(17)) = 0: c(17) = 0
170 b(c(24)) = 0: c(24) = 0
240 Next j24
b(c(18)) = 0: c(18) = 0
180 b(c(23)) = 0: c(23) = 0
230 b(c(26)) = 0: c(26) = 0
260 b(c(31)) = 0: c(31) = 0
310 Next j31
b(c(25)) = 0: c(25) = 0
250 b(c(32)) = 0: c(32) = 0
320 Next j32
b(c(19)) = 0: c(19) = 0
190 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(35)) = 0: c(35) = 0
350 b(c(36)) = 0: c(36) = 0
360 b(c(37)) = 0: c(37) = 0
370 b(c(38)) = 0: c(38) = 0
380 Next j38
b(c(34)) = 0: c(34) = 0
340 b(c(39)) = 0: c(39) = 0
390 Next j39
b(c(33)) = 0: c(33) = 0
330 b(c(40)) = 0: c(40) = 0
400 Next j40
b(c(29)) = 0: c(29) = 0
290 b(c(30)) = 0: c(30) = 0
300 b(c(43)) = 0: c(43) = 0
430 b(c(44)) = 0: c(44) = 0
440 Next j44
b(c(27)) = 0: c(27) = 0
270 b(c(45)) = 0: c(45) = 0
450 Next j45
b(c(28)) = 0: c(28) = 0
280 b(c(46)) = 0: c(46) = 0
460 Next j46
b(c(42)) = 0: c(42) = 0
420 b(c(47)) = 0: c(47) = 0
470 Next j47
b(c(41)) = 0: c(41) = 0
410 b(c(48)) = 0: c(48) = 0
480 Next j48
b(c(11)) = 0: c(11) = 0
110 b(c(15)) = 0: c(15) = 0
150 b(c(50)) = 0: c(50) = 0
500 b(c(51)) = 0: c(51) = 0
510 Next j51
b(c(12)) = 0: c(12) = 0
120 b(c(52)) = 0: c(52) = 0
520 Next j52
b(c(13)) = 0: c(13) = 0
130 b(c(53)) = 0: c(53) = 0
530 Next j53
b(c(14)) = 0: c(14) = 0
140 b(c(54)) = 0: c(54) = 0
540 Next j54
b(c(10)) = 0: c(10) = 0
100 b(c(55)) = 0: c(55) = 0
550 Next j55
b(c(49)) = 0: c(49) = 0
490 b(c(56)) = 0: c(56) = 0
560 Next j56
b(c(2)) = 0: c(2) = 0
20 b(c(8)) = 0: c(8) = 0
80 b(c(57)) = 0: c(57) = 0
570 b(c(58)) = 0: c(58) = 0
580 Next j58
b(c(3)) = 0: c(3) = 0
30 b(c(59)) = 0: c(59) = 0
590 Next j59
b(c(4)) = 0: c(4) = 0
40 b(c(60)) = 0: c(60) = 0
600 Next j60
b(c(5)) = 0: c(5) = 0
50 b(c(61)) = 0: c(61) = 0
610 Next j61
b(c(6)) = 0: c(6) = 0
60 b(c(62)) = 0: c(62) = 0
620 Next j62
b(c(7)) = 0: c(7) = 0
70 b(c(63)) = 0: c(63) = 0
630 Next j63
b(c(1)) = 0: c(1) = 0
10 b(c(64)) = 0: c(64) = 0
640 Next j64
t2 = Timer
t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions"
y = MsgBox(t10, 0, "Routine MgcSqr8i")
End
' Print results (selected numbers)
2645 For i1 = 1 To 64
Cells(n9, i1).Value = a(i1)
Next i1
Return
' Print results (squares)
2650 n2 = n2 + 1
If n2 = 5 Then
n2 = 1: k1 = k1 + 9: k2 = 0
Else
If n9 > 1 Then k2 = k2 + 9
End If
Cells(k1 + 1, k2 + 1).Select
i3 = 0
For i1 = 1 To 8
For i2 = 1 To 8
i3 = i3 + 1
Cells(k1 + i1, k2 + i2).Value = a(i3)
Next i2
Next i1
Return
End Sub
