' Generates Magic Squares of order 4 for integers as defined in area a1()
' Tested with Office 2007 under Windows 7
Sub MgcSqr4f()
Dim a16(16), a1(16), a(16), b1(169), b(169), c(16)
y = MsgBox("Locked", vbCritical, "Routine MgcSqr4f")
End
n2 = 0: n3 = 0: n9 = 0: k1 = 1: k2 = 1
m1 = 1: m2 = 16: s1 = 340
' {ai} = { 13, 14, 16, 17, 22, 23, 25, 26, 144, 145, 147, 148, 153, 154, 156, 157 }; s38 = 176
' {bi} = { 73, 74, 75, 76, 77, 78, 79, 80, 90, 91, 92, 93, 94, 95, 96, 97 }; s38 = 186
' {di} = { 38, 39, 40, 41, 42, 43, 44, 45, 125, 126, 127, 128, 129, 130, 131, 132 }; s38 = 84
' {ei} = { 46, 47, 48, 49, 50, 51, 52, 53, 117, 118, 119, 120, 121, 122, 123, 124 }; s38 = 164
' Define variables
a1(1) = 46: a1(2) = 47: a1(3) = 48: a1(4) = 49
a1(5) = 50: a1(6) = 51: a1(7) = 52: a1(8) = 53
a1(9) = 117: a1(10) = 118: a1(11) = 119: a1(12) = 120
a1(13) = 121: a1(14) = 122: a1(15) = 123: a1(16) = 124
s38 = 164
For i1 = 1 To 16
b1(a1(i1)) = a1(i1)
Next i1
' Generate data
Sheets("Klad1").Select
t1 = Timer
For j16 = m1 To m2 'a(16) = 14
If b(a1(j16)) = 0 Then b(a1(j16)) = a1(j16): c(16) = a1(j16) Else GoTo 160
a(16) = a1(j16)
a(15) = 170 - a(16)
If a(15) < a1(m1) Or a(15) > a1(m2) Then GoTo 150
If b1(a(15)) = 0 Then GoTo 150
If b(a(15)) = 0 Then b(a(15)) = a(15): c(15) = a(15) Else GoTo 150
For j14 = m1 To m2 'a(14)= 148
If b(a1(j14)) = 0 Then b(a1(j14)) = a1(j14): c(14) = a1(j14) Else GoTo 140
a(14) = a1(j14)
a(13) = 170 - a(14)
If a(13) < a1(m1) Or a(13) > a1(m2) Then GoTo 130
If b1(a(13)) = 0 Then GoTo 130
If b(a(13)) = 0 Then b(a(13)) = a(13): c(13) = a(13) Else GoTo 130
For j12 = m1 To m2 'a(12) = 26
If b(a1(j12)) = 0 Then b(a1(j12)) = a1(j12): c(12) = a1(j12) Else GoTo 120
a(12) = a1(j12)
a(11) = 170 - a(12)
If a(11) < a1(m1) Or a(11) > a1(m2) Then GoTo 110
If b1(a(11)) = 0 Then GoTo 110
If b(a(11)) = 0 Then b(a(11)) = a(11): c(11) = a(11) Else GoTo 110
For j10 = m1 To m2 'a(10) = 154
If b(a1(j10)) = 0 Then b(a1(j10)) = a1(j10): c(10) = a1(j10) Else GoTo 100
a(10) = a1(j10)
a(9) = 170 - a(10):
If a(9) < a1(m1) Or a(9) > a1(m2) Then GoTo 90:
If b1(a(9)) = 0 Then GoTo 90
a(8) = (340 + a(10) - a(12) - a(14) - a(16)) / 2:
If CInt(a(8)) <> a(8) Then GoTo 90
If a(8) < a1(m1) Or a(8) > a1(m2) Then GoTo 90:
If b1(a(8)) = 0 Then GoTo 90
a(7) = 170 - a(8):
If a(7) < a1(m1) Or a(7) > a1(m2) Then GoTo 90:
If b1(a(7)) = 0 Then GoTo 90
a(6) = 170 - a(7) - a(10) + a(12):
If a(6) < a1(m1) Or a(6) > a1(m2) Then GoTo 90:
If b1(a(6)) = 0 Then GoTo 90
a(5) = 170 - a(6):
If a(5) < a1(m1) Or a(5) > a1(m2) Then GoTo 90:
If b1(a(5)) = 0 Then GoTo 90
a(4) = 170 - a(5) - a(12) + a(14):
If a(4) < a1(m1) Or a(4) > a1(m2) Then GoTo 90:
If b1(a(4)) = 0 Then GoTo 90
a(3) = 170 - a(4):
If a(3) + a(8) <> s38 Then GoTo 90
If a(3) < a1(m1) Or a(3) > a1(m2) Then GoTo 90:
If b1(a(3)) = 0 Then GoTo 90
a(2) = 340 - a(4) - a(10) - a(12):
If a(2) < a1(m1) Or a(2) > a1(m2) Then GoTo 90:
If b1(a(2)) = 0 Then GoTo 90
a(1) = 170 - a(2):
If a(1) < a1(m1) Or a(1) > a1(m2) Then GoTo 90:
If b1(a(1)) = 0 Then GoTo 90
' Exclude solutions with identical numbers
GoSub 800: If fl1 = 0 Then GoTo 90
n9 = n9 + 1
GoSub 650 'Print results (squares)
' GoSub 640 'Print results (selected numbers)
90 b(c(10)) = 0: c(10) = 0
100 Next j10
b(c(11)) = 0: c(11) = 0
110 b(c(12)) = 0: c(12) = 0
120 Next j12
b(c(13)) = 0: c(13) = 0
130 b(c(14)) = 0: c(14) = 0
140 Next j14
b(c(15)) = 0: c(15) = 0
150 b(c(16)) = 0: c(16) = 0
160 Next j16
t2 = Timer
t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s1)
y = MsgBox(t10, 0, "Routine MgcSqr4f")
End
' Print results (selected numbers)
640 For i1 = 1 To 16
Cells(n9, i1).Value = a(i1)
Next i1
Return
' Print results (squares)
650 n2 = n2 + 1
If n2 = 5 Then
n2 = 1: k1 = k1 + 5: k2 = 1
Else
If n9 > 1 Then k2 = k2 + 5
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 4
For i2 = 1 To 4
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 16
a2 = a(j1)
For j2 = (1 + j1) To 16
If a2 = a(j2) Then fl1 = 0: GoTo 850
Next j2
Next j1
850 Return
End Sub
