' Generates Auxiliary Squares of order 4, Non Consecutive Integers
' Construction Order 13 Quadrant P08 Bordered Magic Squares
' Tested with Office 365 under Windows 10
Sub Priem4b()
Dim a1(81), a2(40), a(16), b1(169), b2(169), b(169), c(16)
y = MsgBox("Locked", vbCritical, "Routine Priem4b")
End
n2 = 0: n3 = 0: n9 = 0: n10 = 0: k1 = 1: k2 = 1
Shtnm1 = "SemiCntr9" 'Semi Latin Square Based
m21 = 1: m22 = 40 'Border 11 x 11
a2(1) = 15: a2(2) = 16: a2(3) = 17: a2(4) = 18: a2(5) = 19: a2(6) = 20: a2(7) = 21: a2(8) = 22:
a2(9) = 23: a2(10) = 24: a2(11) = 25: a2(12) = 28: a2(13) = 38: a2(14) = 41: a2(15) = 51: a2(16) = 54:
a2(17) = 64: a2(18) = 67: a2(19) = 77: a2(20) = 80: a2(21) = 90: a2(22) = 93: a2(23) = 103: a2(24) = 106:
a2(25) = 116: a2(26) = 119: a2(27) = 129: a2(28) = 132: a2(29) = 142: a2(30) = 145: a2(31) = 146: a2(32) = 147:
a2(33) = 148: a2(34) = 149: a2(35) = 150: a2(36) = 151: a2(37) = 152: a2(38) = 153: a2(39) = 154: a2(40) = 155:
For i1 = 1 To 40
b2(a2(i1)) = a2(1)
Next i1
' Generate squares
Sheets("Klad1").Select
t1 = Timer
b(85) = 85 'Block Center Element
For j100 = 2 To 193 'Read applicable variables from Centre Squsres
a(6) = Sheets(Shtnm1).Cells(j100, 31).Value
a(7) = Sheets(Shtnm1).Cells(j100, 33).Value
a(10) = Sheets(Shtnm1).Cells(j100, 49).Value
a(11) = Sheets(Shtnm1).Cells(j100, 51).Value
For j16 = m21 To m22 'a(16)
If b(a2(j16)) = 0 Then b(a2(j16)) = a2(j16): c(16) = a2(j16) Else GoTo 160
a(16) = a2(j16)
a(1) = 170 - a(16): If b(a(1)) = 0 Then b(a(1)) = a(1): c(1) = a(1) Else GoTo 10
For j15 = m21 To m22 'a(15)
If b(a2(j15)) = 0 Then b(a2(j15)) = a2(j15): c(15) = a2(j15) Else GoTo 150
a(15) = a2(j15)
a(3) = 170 - a(15): If b(a(3)) = 0 Then b(a(3)) = a(3): c(3) = a(3) Else GoTo 30
a(12) = 340 - a(15) - a(16) - a(11)
If a(12) < a2(m21) Or a(12) > a2(m22) Then GoTo 120
If b2(a(12)) = 0 Then GoTo 120
If b(a(12)) = 0 Then b(a(12)) = a(12): c(12) = a(12) Else GoTo 120
a(9) = 170 - a(12): If b(a(9)) = 0 Then b(a(9)) = a(9): c(9) = a(9) Else GoTo 90
For j14 = m21 To m22 'a(14)
If b(a2(j14)) = 0 Then b(a2(j14)) = a2(j14): c(14) = a2(j14) Else GoTo 140
a(14) = a2(j14)
a(2) = 170 - a(14): If b(a(2)) = 0 Then b(a(2)) = a(2): c(2) = a(2) Else GoTo 20
a(13) = 170 - a(14) - a(15) - a(16) + a(6) + a(7)
If a(13) < a2(m21) Or a(13) > a2(m22) Then GoTo 130
If b2(a(13)) = 0 Then GoTo 130
If b(a(13)) = 0 Then b(a(13)) = a(13): c(13) = a(13) Else GoTo 130
a(4) = 170 - a(13): If b(a(4)) = 0 Then b(a(4)) = a(4): c(4) = a(4) Else GoTo 40
a(8) = 170 - a(14) - a(16) + a(6)
If a(8) < a2(m21) Or a(8) > a2(m22) Then GoTo 80
If b2(a(8)) = 0 Then GoTo 80
If b(a(8)) = 0 Then b(a(8)) = a(8): c(8) = a(8) Else GoTo 80
a(5) = 170 - a(8): If b(a(5)) = 0 Then b(a(5)) = a(5): c(5) = a(5) Else GoTo 50
n9 = n9 + 1: GoSub 650 'Print results (squares)
' n9 = n9 + 1: GoSub 640 'Print results (selected numbers)
Erase b, c: GoTo 1000 'Print only first square
b(c(5)) = 0: c(5) = 0
50 b(c(8)) = 0: c(8) = 0
80 b(c(4)) = 0: c(4) = 0
40 b(c(13)) = 0: c(13) = 0
130 b(c(2)) = 0: c(2) = 0
20 b(c(14)) = 0: c(14) = 0
140 Next j14
b(c(9)) = 0: c(9) = 0
90 b(c(12)) = 0: c(12) = 0
120 b(c(3)) = 0: c(3) = 0
30 b(c(15)) = 0: c(15) = 0
150 Next j15
b(c(1)) = 0: c(1) = 0
10 b(c(16)) = 0: c(16) = 0
160 Next j16
1000 Next j100
t2 = Timer
t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s1)
y = MsgBox(t10, 0, "Routine Priem4b")
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
Cells(k1, k2 + 2).Value = j100
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
End Sub
