' Generates Associated Magic Rectangles of order 5 x 7
' Tested with Office 2007 under Windows 7
Sub MgcSqr57()
Dim a(35), b(35), c(35)
y = MsgBox("Locked", vbCritical, "Routine MgcSqr57")
End
n2 = 0: k1 = 1: k2 = 1: n9 = 0
m1 = 1: m2 = 35: c1 = (m1 + m2) / 2
' Generate data
Sheets("Klad1").Select
t1 = Timer
a(18) = c1: b(a(11)) = a(11)
For j35 = 10 To 10 'a(35) = 10
If b(j35) = 0 Then b(j35) = j35: c(35) = j35 Else GoTo 350
a(35) = j35
a(1) = 2 * c1 - a(35)
If b(a(1)) = 0 Then b(a(1)) = a(1): c(1) = a(1) Else GoTo 10
For j34 = 17 To 17 'a(34) = 17
If b(j34) = 0 Then b(j34) = j34: c(34) = j34 Else GoTo 340
a(34) = j34
a(2) = 2 * c1 - a(34)
If b(a(2)) = 0 Then b(a(2)) = a(2): c(2) = a(2) Else GoTo 20
For j33 = m1 To m2 'a(33) = 28
If b(j33) = 0 Then b(j33) = j33: c(33) = j33 Else GoTo 330
a(33) = j33
a(3) = 2 * c1 - a(33)
If b(a(3)) = 0 Then b(a(3)) = a(3): c(3) = a(3) Else GoTo 30
For j32 = m1 To m2 'a(32) = 5
If b(j32) = 0 Then b(j32) = j32: c(32) = j32 Else GoTo 320
a(32) = j32
a(4) = 2 * c1 - a(32)
If b(a(4)) = 0 Then b(a(4)) = a(4): c(4) = a(4) Else GoTo 40
For j31 = m1 To m2 'a(31) = 11
If b(j31) = 0 Then b(j31) = j31: c(31) = j31 Else GoTo 310
a(31) = j31
a(5) = 2 * c1 - a(31)
If b(a(5)) = 0 Then b(a(5)) = a(5): c(5) = a(5) Else GoTo 50
For j30 = m1 To m2 'a(30) = 23
If b(j30) = 0 Then b(j30) = j30: c(30) = j30 Else GoTo 300
a(30) = j30
a(29) = 7 * c1 - a(30) - a(31) - a(32) - a(33) - a(34) - a(35)
If a(29) < m1 Or a(29) > m2 Then GoTo 290
If b(a(29)) = 0 Then b(a(29)) = a(29): c(29) = a(29) Else GoTo 290
a(7) = 2 * c1 - a(29)
If b(a(7)) = 0 Then b(a(7)) = a(7): c(7) = a(7) Else GoTo 70
a(6) = 2 * c1 - a(30)
If b(a(6)) = 0 Then b(a(6)) = a(6): c(6) = a(6) Else GoTo 60
For j28 = m1 To m2 'a(28) = 16
If b(j28) = 0 Then b(j28) = j28: c(28) = j28 Else GoTo 280
a(28) = j28
a(8) = 2 * c1 - a(28)
If b(a(8)) = 0 Then b(a(8)) = a(8): c(8) = a(8) Else GoTo 80
For j27 = m1 To m2 'a(27) = 30
If b(j27) = 0 Then b(j27) = j27: c(27) = j27 Else GoTo 270
a(27) = j27
a(9) = 2 * c1 - a(27)
If b(a(9)) = 0 Then b(a(9)) = a(9): c(9) = a(9) Else GoTo 90
For j26 = m1 To m2 'a(26) = 2
If b(j26) = 0 Then b(j26) = j26: c(26) = j26 Else GoTo 260
a(26) = j26
a(10) = 2 * c1 - a(26)
If b(a(10)) = 0 Then b(a(10)) = a(10): c(10) = a(10) Else GoTo 100
For j25 = m1 To m2 'a(25) = 12
If b(j25) = 0 Then b(j25) = j25: c(25) = j25 Else GoTo 250
a(25) = j25
a(11) = 2 * c1 - a(25)
If b(a(11)) = 0 Then b(a(11)) = a(11): c(11) = a(11) Else GoTo 110
For j24 = m1 To m2 'a(24) = 22
If b(j24) = 0 Then b(j24) = j24: c(24) = j24 Else GoTo 240
a(24) = j24
a(19) = c1 + a(24) - a(26) + a(31) - a(33)
If a(19) < m1 Or a(19) > m2 Then GoTo 190
If b(a(19)) = 0 Then b(a(19)) = a(19): c(19) = a(19) Else GoTo 190
a(17) = 2 * c1 - a(19)
If b(a(17)) = 0 Then b(a(17)) = a(17): c(17) = a(17) Else GoTo 170
a(12) = 2 * c1 - a(24)
If b(a(12)) = 0 Then b(a(12)) = a(12): c(12) = a(12) Else GoTo 120
For j23 = m1 To m2 'a(23) = 35
If b(j23) = 0 Then b(j23) = j23: c(23) = j23 Else GoTo 230
a(23) = j23
a(13) = 2 * c1 - a(23)
a(22) = 7 * c1 - a(23) - a(24) - a(25) - a(26) - a(27) - a(28)
If a(22) < m1 Or a(22) > m2 Then GoTo 220
a(14) = 2 * c1 - a(22)
a(21) = c1 + a(22) - a(28) + a(29) - a(35): If a(21) < m1 Or a(21) > m2 Then GoTo 220
a(15) = 2 * c1 - a(21)
a(20) = c1 + a(23) - a(27) + a(30) - a(34): If a(20) < m1 Or a(20) > m2 Then GoTo 220
a(16) = 2 * c1 - a(20)
' Exclude solutions with identical numbers
GoSub 800: If fl1 = 0 Then GoTo 220
n9 = n9 + 1: GoSub 640 'Print results (selected numbers)
' n9 = n9 + 1: GoSub 650 'Print results (squares)
220 b(c(23)) = 0: c(23) = 0
230 Next j23
b(c(12)) = 0: c(12) = 0
120 b(c(17)) = 0: c(17) = 0
170 b(c(19)) = 0: c(19) = 0
190 b(c(24)) = 0: c(24) = 0
240 Next j24
b(c(11)) = 0: c(11) = 0
110 b(c(25)) = 0: c(25) = 0
250 Next j25
b(c(10)) = 0: c(10) = 0
100 b(c(26)) = 0: c(26) = 0
260 Next j26
b(c(9)) = 0: c(9) = 0
90 b(c(27)) = 0: c(27) = 0
270 Next j27
b(c(8)) = 0: c(8) = 0
80 b(c(28)) = 0: c(28) = 0
280 Next j28
b(c(6)) = 0: c(6) = 0
60 b(c(7)) = 0: c(7) = 0
70 b(c(29)) = 0: c(29) = 0
290 b(c(30)) = 0: c(30) = 0
300 Next j30
b(c(5)) = 0: c(5) = 0
50 b(c(31)) = 0: c(31) = 0
310 Next j31
b(c(4)) = 0: c(4) = 0
40 b(c(32)) = 0: c(32) = 0
320 Next j32
b(c(3)) = 0: c(3) = 0
30 b(c(33)) = 0: c(33) = 0
330 Next j33
b(c(2)) = 0: c(2) = 0
20 b(c(34)) = 0: c(34) = 0
340 Next j34
b(c(1)) = 0: c(1) = 0
10 b(c(35)) = 0: c(35) = 0
350 Next j35
t2 = Timer
t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s1)
y = MsgBox(t10, 0, "Routine MgcSqr57")
End
' Print results (selected numbers)
640 For i1 = 1 To 35
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 + 6: 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 5
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
