' Generates Associated Magic Rectangles of order 3 x 7
' Tested with Office 2007 under Windows 7
Sub MgcSqr37()
Dim a(25), b(25), c(25)
y = MsgBox("Locked", vbCritical, "Routine MgcSqr37")
End
n2 = 0: k1 = 1: k2 = 1: n9 = 0
m1 = 1: m2 = 21: c1 = (m1 + m2) / 2
' Generate data
Sheets("KLad1").Select
t1 = Timer
a(11) = c1: b(a(11)) = a(11)
For j21 = 12 To 12 'a(21)=12
If b(j21) = 0 Then b(j21) = j21: c(21) = j21 Else GoTo 210
a(21) = j21
a(1) = 2 * c1 - a(21)
If b(a(1)) = 0 Then b(a(1)) = a(1): c(1) = a(1) Else GoTo 10
For j20 = 1 To 1 'a(20)=1
If b(j20) = 0 Then b(j20) = j20: c(20) = j20 Else GoTo 200
a(20) = j20
a(2) = 2 * c1 - a(20)
If b(a(2)) = 0 Then b(a(2)) = a(2): c(2) = a(2) Else GoTo 20
For j19 = m1 To m2 'a(19)=13
If b(j19) = 0 Then b(j19) = j19: c(19) = j19 Else GoTo 190
a(19) = j19
a(3) = 2 * c1 - a(19)
If b(a(3)) = 0 Then b(a(3)) = a(3): c(3) = a(3) Else GoTo 30
For j18 = m1 To m2 'a(18)=6
If b(j18) = 0 Then b(j18) = j18: c(18) = j18 Else GoTo 180
a(18) = j18
a(4) = 2 * c1 - a(18)
If b(a(4)) = 0 Then b(a(4)) = a(4): c(4) = a(4) Else GoTo 40
For j17 = m1 To m2 'a(17)=17
If b(j17) = 0 Then b(j17) = j17: c(17) = j17 Else GoTo 170
a(17) = j17
a(12) = c1 + a(17) - a(19): If a(12) < m1 Or a(12) > m2 Then GoTo 120
If b(a(12)) = 0 Then b(a(12)) = a(12): c(12) = a(12) Else GoTo 120
a(10) = 2 * c1 - a(12)
If b(a(10)) = 0 Then b(a(10)) = a(10): c(10) = a(10) Else GoTo 100
a(5) = 2 * c1 - a(17)
If b(a(5)) = 0 Then b(a(5)) = a(5): c(5) = a(5) Else GoTo 50
For j16 = m1 To m2 'a(16)=8
If b(j16) = 0 Then b(j16) = j16: c(16) = j16 Else GoTo 160
a(16) = j16
a(15) = 7 * c1 - a(16) - a(17) - a(18) - a(19) - a(20) - a(21)
If a(15) < m1 Or a(15) > m2 Then GoTo 150
a(14) = c1 + a(15) - a(21): If a(14) < m1 Or a(14) > m2 Then GoTo 150
a(13) = c1 + a(16) - a(20): If a(13) < m1 Or a(13) > m2 Then GoTo 150
a(9) = 2 * c1 - a(13)
a(8) = 2 * c1 - a(14)
a(7) = 2 * c1 - a(15)
a(6) = 2 * c1 - a(16)
' Exclude solutions with identical numbers
GoSub 800: If fl1 = 0 Then GoTo 150
n9 = n9 + 1: GoSub 640 'Print results (selected numbers)
' n9 = n9 + 1: GoSub 650 'Print results (squares)
150 b(c(16)) = 0: c(16) = 0
160 Next j16
b(c(5)) = 0: c(5) = 0
50 b(c(10)) = 0: c(10) = 0
100 b(c(12)) = 0: c(12) = 0
120 b(c(17)) = 0: c(17) = 0
170 Next j17
b(c(4)) = 0: c(4) = 0
40 b(c(18)) = 0: c(18) = 0
180 Next j18
b(c(3)) = 0: c(3) = 0
30 b(c(19)) = 0: c(19) = 0
190 Next j19
b(c(2)) = 0: c(2) = 0
20 b(c(20)) = 0: c(20) = 0
200 Next j20
b(c(1)) = 0: c(1) = 0
10 b(c(21)) = 0: c(21) = 0
210 Next j21
t2 = Timer
t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s1)
y = MsgBox(t10, 0, "Routine MgcSqr37")
End
' Print results (selected numbers)
640 For i1 = 1 To 21
Cells(n9, i1).Value = a(i1)
Next i1
Cells(n9, 22).Select
Return
' Print results (rectangles)
650 n2 = n2 + 1
If n2 = 5 Then
n2 = 1: k1 = k1 + 4: k2 = 1
Else
If n9 > 1 Then k2 = k2 + 8
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 7
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 21
a2 = a(j1)
For j2 = (1 + j1) To 21
If a2 = a(j2) Then fl1 = 0: GoTo 850
Next j2
Next j1
850 Return
End Sub
