' Generates Magic Squares of order 3 for Odd Numbers
' Suitable for Concentric Lozenge Squares order 13 (Predefined Border)
' Tested with Office 2007 under Windows 7
Sub Priem3a1()
Dim a1(81), a(9), b1(169), b(169), c(9)
y = MsgBox("Locked", vbCritical, "Routine Priem3a1")
End
n1 = 0: n9 = 0: k1 = 1: k2 = 1: m1 = 1
' Define Variables (Odd Numbers)
a1(1) = 3: a1(2) = 5: a1(3) = 7: a1(4) = 9: a1(5) = 11:
a1(6) = 15: a1(7) = 17: a1(8) = 19: a1(9) = 21:
a1(10) = 23: a1(11) = 25: a1(12) = 27: a1(13) = 29: a1(14) = 31:
a1(15) = 33: a1(16) = 35: a1(17) = 37: a1(18) = 39:
a1(19) = 41: a1(20) = 43: a1(21) = 45: a1(22) = 47: a1(23) = 49:
a1(24) = 51: a1(25) = 53: a1(26) = 55: a1(27) = 57:
a1(28) = 59: a1(29) = 61: a1(30) = 63: a1(31) = 65: a1(32) = 67:
a1(33) = 69: a1(34) = 71: a1(35) = 73: a1(36) = 75:
a1(37) = 77: a1(38) = 79: a1(39) = 81: a1(40) = 83: a1(41) = 85:
a1(42) = 87: a1(43) = 89: a1(44) = 91: a1(45) = 93:
a1(46) = 95: a1(47) = 97: a1(48) = 99: a1(49) = 101: a1(50) = 103:
a1(51) = 105: a1(52) = 107: a1(53) = 109: a1(54) = 111:
a1(55) = 113: a1(56) = 115: a1(57) = 117: a1(58) = 119: a1(59) = 121:
a1(60) = 123: a1(61) = 125: a1(62) = 127: a1(63) = 129:
a1(64) = 131: a1(65) = 133: a1(66) = 135: a1(67) = 137: a1(68) = 139:
a1(69) = 141: a1(70) = 143: a1(71) = 145: a1(72) = 147:
a1(73) = 149: a1(74) = 151: a1(75) = 153: a1(76) = 155: a1(77) = 159:
a1(78) = 161: a1(79) = 163: a1(80) = 165: a1(81) = 167:
s1 = 255: m1 = 1: m2 = 81: nVar1 = 169
For i1 = 1 To 81
b1(a1(i1)) = a1(i1)
Next i1
Sheets("Klad1").Select
For j9 = m1 To m2 'a(9)
If b(a1(j9)) = 0 Then b(a1(j9)) = a1(j9): c(9) = a1(j9) Else GoTo 160
a(9) = a1(j9)
For j8 = m1 To m2 'a(8)
If b(a1(j8)) = 0 Then b(a1(j8)) = a1(j8): c(8) = a1(j8) Else GoTo 120
a(8) = a1(j8)
a(7) = s1 - a(8) - a(9):
If a(7) < a1(m1) Or a(7) > a1(m2) Then GoTo 110:
If b1(a(7)) = 0 Then GoTo 110
a(6) = 4 * s1 / 3 - a(8) - 2 * a(9):
If a(6) < a1(m1) Or a(6) > a1(m2) Then GoTo 110:
If b1(a(6)) = 0 Then GoTo 110
a(5) = s1 / 3:
If a(5) < a1(m1) Or a(5) > a1(m2) Then GoTo 110:
If b1(a(5)) = 0 Then GoTo 110
a(4) = -2 * s1 / 3 + a(8) + 2 * a(9):
If a(4) < a1(m1) Or a(4) > a1(m2) Then GoTo 110:
If b1(a(4)) = 0 Then GoTo 110
a(3) = -s1 / 3 + a(8) + 1 * a(9):
If a(3) < a1(m1) Or a(3) > a1(m2) Then GoTo 110:
If b1(a(3)) = 0 Then GoTo 110
a(2) = 2 * s1 / 3 - a(8):
If a(2) < a1(m1) Or a(2) > a1(m2) Then GoTo 110:
If b1(a(2)) = 0 Then GoTo 110
a(1) = 2 * s1 / 3 - a(9):
If a(1) < a1(m1) Or a(1) > a1(m2) Then GoTo 110:
If b1(a(1)) = 0 Then GoTo 110
' Exclude solutions with identical numbers
GoSub 800: If fl1 = 0 Then GoTo 110
' n9 = n9 + 1: GoSub 640 'Print results (selected numbers)
n9 = n9 + 1: GoSub 650 'Print results (squares)
110 b(c(8)) = 0: c(8) = 0
120 Next j8
b(c(9)) = 0: c(9) = 0
160 Next j9
t2 = Timer
t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions"
y = MsgBox(t10, 0, "Routine Priem3a1")
End
' Print results (selected numbers)
640 Cells(n9, 9).Select
For i1 = 1 To 9
Cells(n9, i1).Value = a(i1)
Next i1
Return
' Print results (squares)
650 n1 = n1 + 1
If n1 = 5 Then
n1 = 1: k1 = k1 + 4: k2 = 1
Else
If n9 > 1 Then k2 = k2 + 4
End If
Cells(k1, k2 + 1).Select
Cells(k1, k2 + 1).Font.Color = -4165632
Cells(k1, k2 + 1).Value = n9
i3 = 0
For i1 = 1 To 3
For i2 = 1 To 3
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 9
a2 = a(j1): If a2 = 0 Then GoTo 810
For j2 = (1 + j1) To 9
If a2 = a(j2) Then fl1 = 0: Return
Next j2
810 Next j1
Return
End Sub
