' Generates Inlaid Magic Squares of order 11, Integers 1 ... 121, Part I
' Tested with Office 2007 under Windows 7
Sub Priem11k1()
Dim a(121), b(121), c(121), a5(5), b4(4), s(4)
y = MsgBox("Locked", vbCritical, "Routine Priem11k1")
End
n1 = 0: n2 = 0: n3 = 0: k1 = 1: k2 = 1: n9 = 0: n10 = 0
Sheets("Klad1").Select
t1 = Timer
For j100 = 2 To 463 'Read Magic Lines Order 5 (Test Case = 333)
For i1 = 1 To 5
a5(i1) = Sheets("MgcLns5").Cells(j100, i1).Value
Next i1
For j200 = 2 To 331 'Read Magic Lines Order 4 (Test Case = 235)
For i1 = 1 To 4
b4(i1) = Sheets("MgcLns4").Cells(j200, i1).Value
Next i1
GoSub 600 'Construct Square a()
GoSub 700 'Construct Square b()
For i1 = 1 To 121
Select Case i1
Case 1 To 11, 111 To 121, 12, 22, 23, 33, 34, 44, 45, 55, 56, 66, 67, 77, 78, 88, 89, 99, 100, 110
Case Else
c(i1) = a(i1) + 11 * b(i1) + 1
End Select
Next i1
GoSub 1300: If fl1 = 0 Then GoTo 5 'Check Identical Numbers
'' n9 = n9 + 1: GoSub 1650 'Print Square
n9 = n9 + 1: GoSub 1640 'Print Lines
5
Next j200
Next j100
t2 = Timer
t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s11)
y = MsgBox(t10, 0, "Routine Priem11k1")
End
' Construct Square a()
600
a(13) = a5(1): a(14) = a5(2): a(15) = a5(3): a(16) = a5(4): a(17) = a5(5):
a(24) = a5(3): a(25) = a5(4): a(26) = a5(5): a(27) = a5(1): a(28) = a5(2):
a(35) = a5(5): a(36) = a5(1): a(37) = a5(2): a(38) = a5(3): a(39) = a5(4):
a(46) = a5(2): a(47) = a5(3): a(48) = a5(4): a(49) = a5(5): a(50) = a5(1):
a(57) = a5(4): a(58) = a5(5): a(59) = a5(1): a(60) = a5(2): a(61) = a5(3):
a(62) = 10 - a(60): a(63) = 10 - a(59): a(64) = 10 - a(58): a(65) = 10 - a(57):
a(72) = 10 - a(50): a(73) = 10 - a(49): a(74) = 10 - a(48): a(75) = 10 - a(47): a(76) = 10 - a(46):
a(83) = 10 - a(39): a(84) = 10 - a(38): a(85) = 10 - a(37): a(86) = 10 - a(36): a(87) = 10 - a(35):
a(94) = 10 - a(28): a(95) = 10 - a(27): a(96) = 10 - a(26): a(97) = 10 - a(25): a(98) = 10 - a(24):
a(105) = 10 - a(17): a(106) = 10 - a(16): a(107) = 10 - a(15): a(108) = 10 - a(14): a(109) = 10 - a(13):
a(18) = b4(1): a(19) = b4(2): a(20) = b4(3): a(21) = b4(4):
a(29) = b4(4): a(30) = b4(3): a(31) = b4(2): a(32) = b4(1):
a(40) = b4(2): a(41) = b4(1): a(42) = b4(4): a(43) = b4(3):
a(51) = b4(3): a(52) = b4(4): a(53) = b4(1): a(54) = b4(2):
a(68) = 10 - a(54): a(69) = 10 - a(53): a(70) = 10 - a(52): a(71) = 10 - a(51):
a(79) = 10 - a(43): a(80) = 10 - a(42): a(81) = 10 - a(41): a(82) = 10 - a(40):
a(90) = 10 - a(32): a(91) = 10 - a(31): a(92) = 10 - a(30): a(93) = 10 - a(29):
a(101) = 10 - a(21): a(102) = 10 - a(20): a(103) = 10 - a(19): a(104) = 10 - a(18):
Return
' Construct Square b()
700
b(13) = a(13): b(14) = a(24): b(15) = a(35): b(16) = a(46): b(17) = a(57):
b(24) = a(14): b(25) = a(25): b(26) = a(36): b(27) = a(47): b(28) = a(58):
b(35) = a(15): b(36) = a(26): b(37) = a(37): b(38) = a(48): b(39) = a(59):
b(46) = a(16): b(47) = a(27): b(48) = a(38): b(49) = a(49): b(50) = a(60):
b(57) = a(17): b(58) = a(28): b(59) = a(39): b(60) = a(50): b(61) = a(61):
b(62) = a(72): b(63) = a(83): b(64) = a(94): b(65) = a(105):
b(72) = a(62): b(73) = a(73): b(74) = a(84): b(75) = a(95): b(76) = a(106):
b(83) = a(63): b(84) = a(74): b(85) = a(85): b(86) = a(96): b(87) = a(107):
b(94) = a(64): b(95) = a(75): b(96) = a(86): b(97) = a(97): b(98) = a(108):
b(105) = a(65): b(106) = a(76): b(107) = a(87): b(108) = a(98): b(109) = a(109):
b(18) = 10 - a(18): b(19) = 10 - a(29): b(20) = 10 - a(40): b(21) = 10 - a(51):
b(29) = 10 - a(19): b(30) = 10 - a(30): b(31) = 10 - a(41): b(32) = 10 - a(52):
b(40) = 10 - a(20): b(41) = 10 - a(31): b(42) = 10 - a(42): b(43) = 10 - a(53):
b(51) = 10 - a(21): b(52) = 10 - a(32): b(53) = 10 - a(43): b(54) = 10 - a(54):
b(68) = 10 - a(68): b(69) = 10 - a(79): b(70) = 10 - a(90): b(71) = 10 - a(101):
b(79) = 10 - a(69): b(80) = 10 - a(80): b(81) = 10 - a(91): b(82) = 10 - a(102):
b(90) = 10 - a(70): b(91) = 10 - a(81): b(92) = 10 - a(92): b(93) = 10 - a(103):
b(101) = 10 - a(71): b(102) = 10 - a(82): b(103) = 10 - a(93): b(104) = 10 - a(104):
Return
' Exclude solutions with identical numbers
1300 fl1 = 1
For j10 = 1 To 121
c2 = c(j10): If c2 = 0 Then GoTo 1310
For j20 = (1 + j10) To 121
If c2 = c(j20) Then fl1 = 0: Return
Next j20
1310 Next j10
Return
' Print results (lines)
1640 Cells(n9, 127).Select
For i1 = 1 To 121
Cells(n9, i1).Value = c(i1)
Next i1
s(1) = c(13) + c(14) + c(15) + c(16) + c(17):
s(2) = c(18) + c(19) + c(20) + c(21):
s(3) = c(68) + c(69) + c(70) + c(71):
s(4) = c(61) + c(62) + c(63) + c(64) + c(65):
For i1 = 1 To 4
Cells(n9, 121 + i1).Value = s(i1)
Next i1
Cells(n9, 126).Value = j100
Cells(n9, 127).Value = j200
Cells(n9, 127).Select
Return
' Print results (squares)
1650 n2 = n2 + 1
If n2 = 2 Then
n2 = 1: k1 = k1 + 12: k2 = 1
Else
If n9 > 1 Then k2 = k2 + 12
End If
Cells(k1, k2 + 1).Select
Cells(k1, k2 + 1).Font.Color = -4165632
Cells(k1, k2 + 1).Value = "a" + CStr(n9)
Cells(k1, k2 + 1 + 12).Select
Cells(k1, k2 + 1 + 12).Font.Color = -4165632
Cells(k1, k2 + 1 + 12).Value = "b" + CStr(n9)
Cells(k1, k2 + 1 + 24).Select
Cells(k1, k2 + 1 + 24).Font.Color = -4165632
Cells(k1, k2 + 1 + 24).Value = "c" + CStr(n9)
i3 = 0
For i1 = 1 To 11
For i2 = 1 To 11
i3 = i3 + 1
Cells(k1 + i1, k2 + i2).Value = a(i3)
Cells(k1 + i1, k2 + i2 + 12).Value = b(i3)
Cells(k1 + i1, k2 + i2 + 24).Value = c(i3)
Next i2
Next i1
Return
End Sub
