' Generates Bordered Magic Cubes of order 7 (Prime Numbers)
' Part I: Anti Symmetric Semi Magic Top Squares (a)
' Tested with Office 2007 under Windows 7
Sub PrimeCubes7a()
Dim a1(724), a(64), b1(43291), b(43291), c(64), a7(49)
y = MsgBox("Locked", vbCritical, "Routine PrimeCubes7a")
End
n2 = 0: n9 = 0: k1 = 1: k2 = 1
ShtNm1 = "Pairs77"
Sheets("Klad1").Select
t1 = Timer
For j100 = 66 To 67
' Define variables
GoSub 2015 ' Read Prime Numbers From sheet ShtNm1 (j100: As selected)
b(Cntr7) = Cntr7 ' Block Center Element
For j64 = m1 To m2 'a(64)
If b(a1(j64)) = 0 Then b(a1(j64)) = a1(j64): c(64) = a1(j64) Else GoTo 640
a(64) = a1(j64)
a(1) = Pr7 - a(64): If b(a(1)) = 0 Then b(a(1)) = a(1): c(1) = a(1) Else GoTo 10
For j63 = m1 To m2 'a(63)
If b(a1(j63)) = 0 Then b(a1(j63)) = a1(j63): c(63) = a1(j63) Else GoTo 630
a(63) = a1(j63)
a(2) = Pr7 - a(63): If b(a(2)) = 0 Then b(a(2)) = a(2): c(2) = a(2) Else GoTo 20
For j62 = m1 To m2 'a(62)
If b(a1(j62)) = 0 Then b(a1(j62)) = a1(j62): c(62) = a1(j62) Else GoTo 620
a(62) = a1(j62)
a(61) = s4 - a(62) - a(63) - a(64): If a(61) < a1(m1) Or a(61) > a1(m2) Then GoTo 610
If b1(a(61)) = 0 Then GoTo 610
If b(a(61)) = 0 Then b(a(61)) = a(61): c(61) = a(61) Else GoTo 610
a(4) = Pr7 - a(61): If b(a(4)) = 0 Then b(a(4)) = a(4): c(4) = a(4) Else GoTo 40
a(3) = Pr7 - a(62): If b(a(3)) = 0 Then b(a(3)) = a(3): c(3) = a(3) Else GoTo 30
For j60 = m1 To m2 'a(60)
If b(a1(j60)) = 0 Then b(a1(j60)) = a1(j60): c(60) = a1(j60) Else GoTo 600
a(60) = a1(j60)
a(5) = Pr7 - a(60): If b(a(5)) = 0 Then b(a(5)) = a(5): c(5) = a(5) Else GoTo 50
For j59 = m1 To m2 'a(59)
If b(a1(j59)) = 0 Then b(a1(j59)) = a1(j59): c(59) = a1(j59) Else GoTo 590
a(59) = a1(j59)
a(6) = Pr7 - a(59): If b(a(6)) = 0 Then b(a(6)) = a(6): c(6) = a(6) Else GoTo 60
For j58 = m1 To m2 'a(58)
If b(a1(j58)) = 0 Then b(a1(j58)) = a1(j58): c(58) = a1(j58) Else GoTo 580
a(58) = a1(j58)
a(57) = s4 - a(58) - a(59) - a(60): If a(57) < a1(m1) Or a(57) > a1(m2) Then GoTo 570
If b1(a(57)) = 0 Then GoTo 570
If b(a(57)) = 0 Then b(a(57)) = a(57): c(57) = a(57) Else GoTo 570
a(8) = Pr7 - a(57): If b(a(8)) = 0 Then b(a(8)) = a(8): c(8) = a(8) Else GoTo 80
a(7) = Pr7 - a(58): If b(a(7)) = 0 Then b(a(7)) = a(7): c(7) = a(7) Else GoTo 70
For j56 = m1 To m2 'a(56)
If b(a1(j56)) = 0 Then b(a1(j56)) = a1(j56): c(56) = a1(j56) Else GoTo 560
a(56) = a1(j56)
a(52) = s4 - a(56) - a(60) - a(64): If a(52) < a1(m1) Or a(52) > a1(m2) Then GoTo 520
If b1(a(52)) = 0 Then GoTo 520
If b(a(52)) = 0 Then b(a(52)) = a(52): c(52) = a(52) Else GoTo 520
a(13) = Pr7 - a(52): If b(a(13)) = 0 Then b(a(13)) = a(13): c(13) = a(13) Else GoTo 130
a(9) = Pr7 - a(56): If b(a(9)) = 0 Then b(a(9)) = a(9): c(9) = a(9) Else GoTo 90
For j55 = m1 To m2 'a(55)
If b(a1(j55)) = 0 Then b(a1(j55)) = a1(j55): c(55) = a1(j55) Else GoTo 550
a(55) = a1(j55)
a(51) = s4 - a(55) - a(59) - a(63): If a(51) < a1(m1) Or a(51) > a1(m2) Then GoTo 510
If b1(a(51)) = 0 Then GoTo 510
If b(a(51)) = 0 Then b(a(51)) = a(51): c(51) = a(51) Else GoTo 510
a(14) = Pr7 - a(51): If b(a(14)) = 0 Then b(a(14)) = a(14): c(14) = a(14) Else GoTo 140
a(10) = Pr7 - a(55): 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(a1(j54)) = 0 Then b(a1(j54)) = a1(j54): c(54) = a1(j54) Else GoTo 540
a(54) = a1(j54)
a(53) = s4 - a(54) - a(55) - a(56): If a(53) < a1(m1) Or a(53) > a1(m2) Then GoTo 530
If b1(a(53)) = 0 Then GoTo 530
If b(a(53)) = 0 Then b(a(53)) = a(53): c(53) = a(53) Else GoTo 530
a(50) = s4 - a(54) - a(58) - a(62): If a(50) < a1(m1) Or a(50) > a1(m2) Then GoTo 500
If b1(a(50)) = 0 Then GoTo 500
If b(a(50)) = 0 Then b(a(50)) = a(50): c(50) = a(50) Else GoTo 500
a(49) = -2 * s4 + a(54) + a(55) + a(56) + a(58) + a(59) + a(60) + a(62) + a(63) + a(64)
If a(49) < a1(m1) Or a(49) > a1(m2) Then GoTo 490
If b1(a(49)) = 0 Then GoTo 490
If b(a(49)) = 0 Then b(a(49)) = a(49): c(49) = a(49) Else GoTo 490
a(16) = Pr7 - a(49): If b(a(16)) = 0 Then b(a(16)) = a(16): c(16) = a(16) Else GoTo 160
a(15) = Pr7 - a(50): If b(a(15)) = 0 Then b(a(15)) = a(15): c(15) = a(15) Else GoTo 150
a(12) = Pr7 - a(53): If b(a(12)) = 0 Then b(a(12)) = a(12): c(12) = a(12) Else GoTo 120
a(11) = Pr7 - a(54): If b(a(11)) = 0 Then b(a(11)) = a(11): c(11) = a(11) Else GoTo 110
GoSub 2000 'Semi Magic Square (3 x 3)
If fl1 = 0 Then GoTo 5
GoSub 700 'Tranform to a7()
n9 = n9 + 1: GoSub 740 'Print results (selected numbers)
' n9 = n9 + 1: GoSub 750 'Print results (squares)
Erase b, c: GoTo 1000 'Print only first Top Square
5
b(c(11)) = 0: c(11) = 0
110 b(c(12)) = 0: c(12) = 0
120 b(c(15)) = 0: c(15) = 0
150 b(c(16)) = 0: c(16) = 0
160 b(c(49)) = 0: c(49) = 0
490 b(c(50)) = 0: c(50) = 0
500 b(c(53)) = 0: c(53) = 0
530 b(c(54)) = 0: c(54) = 0
540 Next j54
b(c(10)) = 0: c(10) = 0
100 b(c(14)) = 0: c(14) = 0
140 b(c(51)) = 0: c(51) = 0
510 b(c(55)) = 0: c(55) = 0
550 Next j55
b(c(9)) = 0: c(9) = 0
90 b(c(13)) = 0: c(13) = 0
130 b(c(52)) = 0: c(52) = 0
520 b(c(56)) = 0: c(56) = 0
560 Next j56
b(c(7)) = 0: c(7) = 0
70 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(6)) = 0: c(6) = 0
60 b(c(59)) = 0: c(59) = 0
590 Next j59
b(c(5)) = 0: c(5) = 0
50 b(c(60)) = 0: c(60) = 0
600 Next j60
b(c(3)) = 0: c(3) = 0
30 b(c(4)) = 0: c(4) = 0
40 b(c(61)) = 0: c(61) = 0
610 b(c(62)) = 0: c(62) = 0
620 Next j62
b(c(2)) = 0: c(2) = 0
20 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
1000 Next j100
t2 = Timer
t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s7)
y = MsgBox(t10, 0, "Routine PrimeCubes7a")
End
' Semi Magic Square (3 x 3)
2000 fl1 = 1
For j43 = m1 To m2 'a(43)
If b(a1(j43)) = 0 Then b(a1(j43)) = a1(j43): c(43) = a1(j43) Else GoTo 430
a(43) = a1(j43)
a(22) = Pr7 - a(43): If b(a(22)) = 0 Then b(a(22)) = a(22): c(22) = a(22) Else GoTo 220
For j42 = m1 To m2 'a(42)
If b(a1(j42)) = 0 Then b(a1(j42)) = a1(j42): c(42) = a1(j42) Else GoTo 420
a(42) = a1(j42)
a(23) = Pr7 - a(42): If b(a(23)) = 0 Then b(a(23)) = a(23): c(23) = a(23) Else GoTo 230
a(41) = s3 - a(42) - a(43):
If a(41) < a1(m1) Or a(41) > a1(m2) Then GoTo 410:
If b(a(41)) = 0 Then b(a(41)) = a(41): c(41) = a(41) Else GoTo 410
If b1(a(41)) = 0 Then GoTo 410
a(24) = Pr7 - a(41): If b(a(24)) = 0 Then b(a(24)) = a(24): c(24) = a(24) Else GoTo 240
For j39 = m1 To m2 'a(39)
If b(a1(j39)) = 0 Then b(a1(j39)) = a1(j39): c(39) = a1(j39) Else GoTo 390
a(39) = a1(j39)
a(26) = Pr7 - a(39): If b(a(26)) = 0 Then b(a(26)) = a(26): c(26) = a(26) Else GoTo 260
For j38 = m1 To m2 'a(38)
If b(a1(j38)) = 0 Then b(a1(j38)) = a1(j38): c(38) = a1(j38) Else GoTo 380
a(38) = a1(j38)
a(27) = Pr7 - a(38): If b(a(27)) = 0 Then b(a(27)) = a(27): c(27) = a(27) Else GoTo 270
a(37) = s3 - a(38) - a(39)
If a(37) < a1(m1) Or a(37) > a1(m2) Then GoTo 370:
If b(a(37)) = 0 Then b(a(37)) = a(37): c(37) = a(37) Else GoTo 370
If b1(a(37)) = 0 Then GoTo 370
a(28) = Pr7 - a(37): If b(a(28)) = 0 Then b(a(28)) = a(28): c(28) = a(28) Else GoTo 280
a(35) = -a(39) + a(41) + a(42)
If a(35) < a1(m1) Or a(35) > a1(m2) Then GoTo 350:
If b(a(35)) = 0 Then b(a(35)) = a(35): c(35) = a(35) Else GoTo 350
If b1(a(35)) = 0 Then GoTo 350
a(30) = Pr7 - a(35): If b(a(30)) = 0 Then b(a(30)) = a(30): c(30) = a(30) Else GoTo 300
a(34) = s3 - a(38) - a(42)
If a(34) < a1(m1) Or a(34) > a1(m2) Then GoTo 340:
If b(a(34)) = 0 Then b(a(34)) = a(34): c(34) = a(34) Else GoTo 340
If b1(a(34)) = 0 Then GoTo 340
a(31) = Pr7 - a(34): If b(a(31)) = 0 Then b(a(31)) = a(31): c(31) = a(31) Else GoTo 310
a(33) = a(38) + a(39) - a(41)
If a(33) < a1(m1) Or a(33) > a1(m2) Then GoTo 330:
If b(a(33)) = 0 Then b(a(33)) = a(33): c(33) = a(33) Else GoTo 330
If b1(a(33)) = 0 Then GoTo 330
a(32) = Pr7 - a(33): If b(a(32)) = 0 Then b(a(32)) = a(32): c(32) = a(32) Else GoTo 320
Return
b(c(32)) = 0: c(32) = 0
320 b(c(33)) = 0: c(33) = 0
330 b(c(31)) = 0: c(31) = 0
310 b(c(34)) = 0: c(34) = 0
340 b(c(30)) = 0: c(30) = 0
300 b(c(35)) = 0: c(35) = 0
350 b(c(28)) = 0: c(28) = 0
280 b(c(37)) = 0: c(37) = 0
370 b(c(27)) = 0: c(27) = 0
270 b(c(38)) = 0: c(38) = 0
380 Next j38
b(c(26)) = 0: c(26) = 0
260 b(c(39)) = 0: c(39) = 0
390 Next j39
b(c(24)) = 0: c(24) = 0
240 b(c(41)) = 0: c(41) = 0
410 b(c(23)) = 0: c(23) = 0
230 b(c(42)) = 0: c(42) = 0
420 Next j42
b(c(22)) = 0: c(22) = 0
220 b(c(43)) = 0: c(43) = 0
430 Next j43
fl1 = 0
Return
' Tranform to a7()
700 a7(1) = a(49): a7(2) = a(50): a7(3) = a(51): a7(4) = a(52):
a7(8) = a(53): a7(9) = a(54): a7(10) = a(55): a7(11) = a(56):
a7(15) = a(57): a7(16) = a(58): a7(17) = a(59): a7(18) = a(60):
a7(22) = a(61): a7(23) = a(62): a7(24) = a(63): a7(25) = a(64):
a7(33) = a(33): a7(34) = a(34): a7(35) = a(35):
a7(40) = a(37): a7(41) = a(38): a7(42) = a(39):
a7(47) = a(41): a7(48) = a(42): a7(49) = a(43):
Return
' Print results (selected numbers)
740 For i1 = 1 To 49
Cells(n9, i1).Value = a7(i1)
Next i1
Cells(n9, 50).Select
Cells(n9, 50).Value = s7
Cells(n9, 51).Value = j100 'Record
Return
' Print results (squares)
750 n2 = n2 + 1
If n2 = 5 Then
n2 = 1: k1 = k1 + 8: k2 = 1
Else
If n9 > 1 Then k2 = k2 + 8
End If
Cells(k1 + 1, k2 + 1).Select
Cells(k1, k2 + 1).Select
Cells(k1, k2 + 1).Font.Color = -4165632
Cells(k1, k2 + 1).Value = s7
i3 = 0
For i1 = 1 To 7
For i2 = 1 To 7
i3 = i3 + 1
Cells(k1 + i1, k2 + i2).Value = a7(i3)
Next i2
Next i1
Return
' Read Prime Numbers From sheet ShtNm1
2015 Pr7 = Sheets(ShtNm1).Cells(j100, 1).Value ' Pairsum
nVar1 = Sheets(ShtNm1).Cells(j100, 9).Value
s4 = 2 * Pr7 ' MC4
Cntr7 = Pr7 / 2 ' Center
s3 = 3 * Cntr7 ' MC3
s7 = 7 * Cntr7 ' MC7
For i1 = 1 To nVar1
a1(i1) = Sheets(ShtNm1).Cells(j100, 9 + i1).Value
Next i1
m1 = 1: m2 = nVar1
If a1(1) = 1 Then m1 = m1 + 1: m2 = m2 - 1
Erase b1
For i1 = m1 To m2
b1(a1(i1)) = a1(i1)
Next i1
Return
End Sub
