' Constructs 11 x 11 Eccentric Magic Squares (Distinct Integers)
' Tested with Office 2007 under Windows 7
Sub Priem11c()
Dim a1(40), a(121), b1(121), b(121), c(121)
y = MsgBox("Locked", vbCritical, "Routine Priem11c")
End
n2 = 0: n3 = 0: k1 = 1: k2 = 1: n9 = 0: n10 = 0
' Define Integers
For i1 = 1 To 20
a1(i1) = i1: a1(i1 + 20) = i1 + 101
Next i1
Erase b1
For i1 = 1 To 40
b1(a1(i1)) = a1(i1)
Next i1
m1 = 1: m2 = 40
s1 = 671: Pr11 = 122
Sheets("Klad1").Select
t1 = Timer
For j100 = 2 To 253
' Read Corner Square
For i1 = 1 To 81
Select Case i1
Case 1 To 9: a(i1 + 24) = Sheets("Lines9").Cells(j100, i1).Value + 20
Case 10 To 18: a(i1 + 26) = Sheets("Lines9").Cells(j100, i1).Value + 20
Case 19 To 27: a(i1 + 28) = Sheets("Lines9").Cells(j100, i1).Value + 20
Case 28 To 36: a(i1 + 30) = Sheets("Lines9").Cells(j100, i1).Value + 20
Case 37 To 45: a(i1 + 32) = Sheets("Lines9").Cells(j100, i1).Value + 20
Case 46 To 54: a(i1 + 34) = Sheets("Lines9").Cells(j100, i1).Value + 20
Case 55 To 63: a(i1 + 36) = Sheets("Lines9").Cells(j100, i1).Value + 20
Case 64 To 72: a(i1 + 38) = Sheets("Lines9").Cells(j100, i1).Value + 20
Case 73 To 81: a(i1 + 40) = Sheets("Lines9").Cells(j100, i1).Value + 20
End Select
Next i1
For i1 = 1 To 121
If a(i1) <> 0 Then b(a(i1)) = a(i1)
Next i1
' Complete Square
For j111 = 2 To 2 ''m1 To m2 'a(111)
If b(a1(j111)) = 0 Then b(a1(j111)) = a1(j111): c(111) = a1(j111) Else GoTo 1110
a(111) = a1(j111)
a(112) = Pr11 - a(111): If b(a(112)) = 0 Then b(a(112)) = a(112): c(112) = a(112) Else GoTo 1120
For j101 = 32 To 32 ''m1 To m2 'a(101)
If b(a1(j101)) = 0 Then b(a1(j101)) = a1(j101): c(101) = a1(j101) Else GoTo 1010
a(101) = a1(j101)
a(100) = Pr11 - a(101): If b(a(100)) = 0 Then b(a(100)) = a(100): c(100) = a(100) Else GoTo 1000
For j21 = 21 To 21 ''m1 To m2 'a(21)
If b(a1(j21)) = 0 Then b(a1(j21)) = a1(j21): c(21) = a1(j21) Else GoTo 210
a(21) = a1(j21)
a(10) = Pr11 - a(21): If b(a(10)) = 0 Then b(a(10)) = a(10): c(10) = a(10) Else GoTo 100
a(11) = s1 - a(21) - a(31) - a(41) - a(51) - a(61) - a(71) - a(81) - a(91) - a(101) - a(111)
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
a(22) = Pr11 - a(11): If b(a(22)) = 0 Then b(a(22)) = a(22): c(22) = a(22) Else GoTo 220
For j20 = m1 To 21 ''m1 To m2 'a(20)
If b(a1(j20)) = 0 Then b(a1(j20)) = a1(j20): c(20) = a1(j20) Else GoTo 200
a(20) = a1(j20)
a(9) = Pr11 - a(20): If b(a(9)) = 0 Then b(a(9)) = a(9): c(9) = a(9) Else GoTo 90
For j19 = m1 To 21 ''m1 To m2 'a(19)
If b(a1(j19)) = 0 Then b(a1(j19)) = a1(j19): c(19) = a1(j19) Else GoTo 190
a(19) = a1(j19)
a(8) = Pr11 - a(19): If b(a(8)) = 0 Then b(a(8)) = a(8): c(8) = a(8) Else GoTo 80
For j18 = m1 To 21 ''m1 To m2 'a(18)
If b(a1(j18)) = 0 Then b(a1(j18)) = a1(j18): c(18) = a1(j18) Else GoTo 180
a(18) = a1(j18)
a(7) = Pr11 - a(18): If b(a(7)) = 0 Then b(a(7)) = a(7): c(7) = a(7) Else GoTo 70
For j17 = 21 To m2 ''m1 To m2 'a(17)
If b(a1(j17)) = 0 Then b(a1(j17)) = a1(j17): c(17) = a1(j17) Else GoTo 170
a(17) = a1(j17)
a(6) = Pr11 - a(17): If b(a(6)) = 0 Then b(a(6)) = a(6): c(6) = a(6) Else GoTo 60
For j16 = 21 To m2 ''m1 To m2 'a(16)
If b(a1(j16)) = 0 Then b(a1(j16)) = a1(j16): c(16) = a1(j16) Else GoTo 160
a(16) = a1(j16)
a(5) = Pr11 - a(16): If b(a(5)) = 0 Then b(a(5)) = a(5): c(5) = a(5) Else GoTo 50
For j15 = 21 To m2 ''m1 To m2 'a(15)
If b(a1(j15)) = 0 Then b(a1(j15)) = a1(j15): c(15) = a1(j15) Else GoTo 150
a(15) = a1(j15)
a(4) = Pr11 - a(15): If b(a(4)) = 0 Then b(a(4)) = a(4): c(4) = a(4) Else GoTo 40
For j14 = 21 To m2 ''m1 To m2 'a(14)
If b(a1(j14)) = 0 Then b(a1(j14)) = a1(j14): c(14) = a1(j14) Else GoTo 140
a(14) = a1(j14)
a(3) = Pr11 - a(14): If b(a(3)) = 0 Then b(a(3)) = a(3): c(3) = a(3) Else GoTo 30
For j13 = 10 To 21 ''m1 To m2 'a(13)
If b(a1(j13)) = 0 Then b(a1(j13)) = a1(j13): c(13) = a1(j13) Else GoTo 130
a(13) = a1(j13)
a(1) = Pr11 - a(13): If b(a(1)) = 0 Then b(a(1)) = a(1): c(1) = a(1) Else GoTo 10
a(12) = s1 - a(13) - a(14) - a(15) - a(16) - a(17) - a(18) - a(19) - a(20) - a(21) - a(22)
If a(12) < a1(m1) Or a(12) > a1(m2) Then GoTo 120:
If b1(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(2) = Pr11 - a(12): If b(a(2)) = 0 Then b(a(2)) = a(2): c(2) = a(2) Else GoTo 20
For j90 = 21 To m2 ''m1 To m2 'a(90)
If b(a1(j90)) = 0 Then b(a1(j90)) = a1(j90): c(90) = a1(j90) Else GoTo 900
a(90) = a1(j90)
a(89) = Pr11 - a(90): If b(a(89)) = 0 Then b(a(89)) = a(89): c(89) = a(89) Else GoTo 890
For j79 = 21 To m2 ''m1 To m2 'a(79)
If b(a1(j79)) = 0 Then b(a1(j79)) = a1(j79): c(79) = a1(j79) Else GoTo 790
a(79) = a1(j79)
a(78) = Pr11 - a(79): If b(a(78)) = 0 Then b(a(78)) = a(78): c(78) = a(78) Else GoTo 780
For j68 = 21 To m2 ''m1 To m2 'a(68)
If b(a1(j68)) = 0 Then b(a1(j68)) = a1(j68): c(68) = a1(j68) Else GoTo 680
a(68) = a1(j68)
a(67) = Pr11 - a(68): If b(a(67)) = 0 Then b(a(67)) = a(67): c(67) = a(67) Else GoTo 670
For j57 = m1 To 21 ''m1 To m2 'a(57)
If b(a1(j57)) = 0 Then b(a1(j57)) = a1(j57): c(57) = a1(j57) Else GoTo 570
a(57) = a1(j57)
a(56) = Pr11 - a(57): If b(a(56)) = 0 Then b(a(56)) = a(56): c(56) = a(56) Else GoTo 560
For j46 = m1 To 21 ''m2 'a(46)
If b(a1(j46)) = 0 Then b(a1(j46)) = a1(j46): c(46) = a1(j46) Else GoTo 460
a(46) = a1(j46)
a(45) = Pr11 - a(46): If b(a(45)) = 0 Then b(a(45)) = a(45): c(45) = a(45) Else GoTo 450
For j35 = m1 To 21 ''m2 'a(35)
If b(a1(j35)) = 0 Then b(a1(j35)) = a1(j35): c(35) = a1(j35) Else GoTo 350
a(35) = a1(j35)
a(34) = Pr11 - a(35): If b(a(34)) = 0 Then b(a(34)) = a(34): c(34) = a(34) Else GoTo 340
a(24) = 671 - a(2) - a(13) - a(35) - a(46) - a(57) - a(68) - a(79) - a(90) - a(101) - a(112)
If a(24) < a1(m1) Or a(24) > a1(m2) Then GoTo 240:
If b1(a(24)) = 0 Then GoTo 240
If b(a(24)) = 0 Then b(a(24)) = a(24): c(24) = a(24) Else GoTo 240
a(23) = Pr11 - a(24): If b(a(23)) = 0 Then b(a(23)) = a(23): c(23) = a(23) Else GoTo 230
n9 = n9 + 1: GoSub 650:
'' Erase b, c: GoTo 1250
b(c(23)) = 0: c(23) = 0
230 b(c(24)) = 0: c(24) = 0
240 b(c(34)) = 0: c(34) = 0
340 b(c(35)) = 0: c(35) = 0
350 Next j35
b(c(45)) = 0: c(45) = 0
450 b(c(46)) = 0: c(46) = 0
460 Next j46
b(c(56)) = 0: c(56) = 0
560 b(c(57)) = 0: c(57) = 0
570 Next j57
b(c(67)) = 0: c(67) = 0
670 b(c(68)) = 0: c(68) = 0
680 Next j68
b(c(78)) = 0: c(78) = 0
780 b(c(79)) = 0: c(79) = 0
790 Next j79
b(c(89)) = 0: c(89) = 0
890 b(c(90)) = 0: c(90) = 0
900 Next j90
b(c(2)) = 0: c(2) = 0
20 b(c(12)) = 0: c(12) = 0
120 b(c(1)) = 0: c(1) = 0
10 b(c(13)) = 0: c(13) = 0
130 Next j13
b(c(3)) = 0: c(3) = 0
30 b(c(14)) = 0: c(14) = 0
140 Next j14
b(c(4)) = 0: c(4) = 0
40 b(c(15)) = 0: c(15) = 0
150 Next j15
b(c(5)) = 0: c(5) = 0
50 b(c(16)) = 0: c(16) = 0
160 Next j16
b(c(6)) = 0: c(6) = 0
60 b(c(17)) = 0: c(17) = 0
170 Next j17
b(c(7)) = 0: c(7) = 0
70 b(c(18)) = 0: c(18) = 0
180 Next j18
b(c(8)) = 0: c(8) = 0
80 b(c(19)) = 0: c(19) = 0
190 Next j19
b(c(9)) = 0: c(9) = 0
90 b(c(20)) = 0: c(20) = 0
200 Next j20
b(c(22)) = 0: c(22) = 0
220 b(c(11)) = 0: c(11) = 0
110 b(c(10)) = 0: c(10) = 0
100 b(c(21)) = 0: c(21) = 0
210 Next j21
b(c(100)) = 0: c(100) = 0
1000 b(c(101)) = 0: c(101) = 0
1010 Next j101
b(c(112)) = 0: c(112) = 0
1120 b(c(111)) = 0: c(111) = 0
1110 Next j111
Erase b, c
1250 Next j100
t2 = Timer
t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s11)
y = MsgBox(t10, 0, "Routine Priem11c")
End
' Print results (lines)
640 Cells(n9, 122).Select
For i1 = 1 To 121
Cells(n9, i1).Value = a(i1)
Next i1
Cells(n9, 122).Value = s1
Return
' Print results (squares)
650 n2 = n2 + 1
If n2 = 3 Then
n2 = 1: k1 = k1 + 12: k2 = 1
Else
If n9 > 1 Then k2 = k2 + 12
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 11
For i2 = 1 To 11
i3 = i3 + 1
Cells(k1 + i1, k2 + i2).Value = a(i3)
Next i2
Next i1
Return
End Sub
