' Generates Eccentric Magic Squares of order 6, Magic Sum 111
' Tested with Office 2007 under Windows 7
Sub MgcSqr6f()
Dim a(36), b(36), c(36)
y = MsgBox("Locked", vbCritical, "Routine MgcSqr6f")
End
n2 = 0: n9 = 0
m1 = 1: m2 = 36: s1 = 111
' Generate data
Sheets("Klad1").Select
t1 = Timer
For j36 = 25 To 25 'a(36)
If b(j36) = 0 Then b(j36) = j36: c(36) = j36 Else GoTo 360
a(36) = j36
a(22) = 37 - a(36): If a(22) <= 0 Or a(22) > 36 Then GoTo 220
If b(a(22)) = 0 Then b(a(22)) = a(22): c(22) = a(22) Else GoTo 220
For j35 = 14 To 14 'a(35)
If b(j35) = 0 Then b(j35) = j35: c(35) = j35 Else GoTo 350
a(35) = j35
a(21) = 37 - a(35): If a(21) <= 0 Or a(21) > 36 Then GoTo 210
If b(a(21)) = 0 Then b(a(21)) = a(21): c(21) = a(21) Else GoTo 210
For j34 = 15 To 15 'a(34)
If b(j34) = 0 Then b(j34) = j34: c(34) = j34 Else GoTo 340
a(34) = j34
a(33) = 74 - a(34) - a(35) - a(36): If a(33) <= 0 Or a(33) > 36 Then GoTo 330
If b(a(33)) = 0 Then b(a(33)) = a(33): c(33) = a(33) Else GoTo 330
a(24) = 37 - a(34): If a(24) <= 0 Or a(24) > 36 Then GoTo 240
If b(a(24)) = 0 Then b(a(24)) = a(24): c(24) = a(24) Else GoTo 240
a(23) = -37 + a(34) + a(35) + a(36): If a(23) <= 0 Or a(23) > 36 Then GoTo 230
If b(a(23)) = 0 Then b(a(23)) = a(23): c(23) = a(23) Else GoTo 230
For j32 = m1 To m2 'a(32)
If b(j32) = 0 Then b(j32) = j32: c(32) = j32 Else GoTo 320
a(32) = j32
a(31) = 37 - a(32): If a(31) <= 0 Or a(31) > 36 Then GoTo 310
If b(a(31)) = 0 Then b(a(31)) = a(31): c(31) = a(31) Else GoTo 310
For j30 = 16 To 16 'a(30)
If b(j30) = 0 Then b(j30) = j30: c(30) = j30 Else GoTo 300
a(30) = j30
a(29) = 74 - a(30) - a(35) - a(36): If a(29) <= 0 Or a(29) > 36 Then GoTo 290
If b(a(29)) = 0 Then b(a(29)) = a(29): c(29) = a(29) Else GoTo 290
a(28) = a(30) - a(34) + a(36): If a(28) <= 0 Or a(28) > 36 Then GoTo 280
If b(a(28)) = 0 Then b(a(28)) = a(28): c(28) = a(28) Else GoTo 280
a(27) = -a(30) + a(34) + a(35): If a(27) <= 0 Or a(27) > 36 Then GoTo 270
If b(a(27)) = 0 Then b(a(27)) = a(27): c(27) = a(27) Else GoTo 270
a(18) = 37 - a(30) + a(34) - a(36): If a(18) <= 0 Or a(18) > 36 Then GoTo 180
If b(a(18)) = 0 Then b(a(18)) = a(18): c(18) = a(18) Else GoTo 180
a(17) = 37 + a(30) - a(34) - a(35): If a(17) <= 0 Or a(17) > 36 Then GoTo 170
If b(a(17)) = 0 Then b(a(17)) = a(17): c(17) = a(17) Else GoTo 170
a(16) = 37 - a(30): If a(16) <= 0 Or a(16) > 36 Then GoTo 160
If b(a(16)) = 0 Then b(a(16)) = a(16): c(16) = a(16) Else GoTo 160
a(15) = -37 + a(30) + a(35) + a(36): If a(15) <= 0 Or a(15) > 36 Then GoTo 150
If b(a(15)) = 0 Then b(a(15)) = a(15): c(15) = a(15) Else GoTo 150
For j26 = m1 To m2 'a(26)
If b(j26) = 0 Then b(j26) = j26: c(26) = j26 Else GoTo 260
a(26) = j26
a(25) = 37 - a(26): If a(25) <= 0 Or a(25) > 36 Then GoTo 250
If b(a(25)) = 0 Then b(a(25)) = a(25): c(25) = a(25) Else GoTo 250
For j20 = m1 To m2 'a(20)
If b(j20) = 0 Then b(j20) = j20: c(20) = j20 Else GoTo 200
a(20) = j20
a(19) = 37 - a(20): If a(19) <= 0 Or a(19) > 36 Then GoTo 190
If b(a(19)) = 0 Then b(a(19)) = a(19): c(19) = a(19) Else GoTo 190
For j14 = m1 To m2 'a(14)
If b(j14) = 0 Then b(j14) = j14: c(14) = j14 Else GoTo 140
a(14) = j14
a(13) = 37 - a(14): If a(13) <= 0 Or a(13) > 36 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)
If b(j12) = 0 Then b(j12) = j12: c(12) = j12 Else GoTo 120
a(12) = j12
a(6) = 37 - a(12): If a(6) <= 0 Or a(6) > 36 Then GoTo 60
If b(a(6)) = 0 Then b(a(6)) = a(6): c(6) = a(6) Else GoTo 60
a(11) = 111 - a(6) - a(16) - a(21) - a(26) - a(31)
If a(11) <= 0 Or a(11) > 36 Then GoTo 110
If b(a(11)) = 0 Then b(a(11)) = a(11): c(11) = a(11) Else GoTo 110
a(5) = 37 - a(11): If a(5) <= 0 Or a(5) > 36 Then GoTo 50
If b(a(5)) = 0 Then b(a(5)) = a(5): c(5) = a(5) Else GoTo 50
For j10 = m1 To m2 'a(10)
If b(j10) = 0 Then b(j10) = j10: c(10) = j10 Else GoTo 100
a(10) = j10
a(4) = 37 - a(10): If a(4) <= 0 Or a(4) > 36 Then GoTo 40
If b(a(4)) = 0 Then b(a(4)) = a(4): c(4) = a(4) Else GoTo 40
For j9 = m1 To m2 'a(9)
If b(j9) = 0 Then b(j9) = j9: c(9) = j9 Else GoTo 90
a(9) = j9
a(8) = 18.5 - 0.5 * (a(9) + a(10) + a(11) + a(12) - a(13) - a(19) - a(25) - a(31))
If a(8) <= 0 Or a(8) > 36 Or Int(a(8)) <> a(8) Then GoTo 80
If b(a(8)) = 0 Then b(a(8)) = a(8): c(8) = a(8) Else GoTo 80
a(3) = 37 - a(9): If a(3) <= 0 Or a(3) > 36 Then GoTo 30
If b(a(3)) = 0 Then b(a(3)) = a(3): c(3) = a(3) Else GoTo 30
a(7) = 111 - a(8) - a(9) - a(10) - a(11) - a(12)
If a(7) <= 0 Or a(7) > 36 Then GoTo 70
If b(a(7)) = 0 Then b(a(7)) = a(7): c(7) = a(7) Else GoTo 70
a(2) = 111 - a(8) - a(14) - a(20) - a(26) - a(32)
If a(2) <= 0 Or a(2) > 36 Then GoTo 20
If b(a(2)) = 0 Then b(a(2)) = a(2): c(2) = a(2) Else GoTo 20
a(1) = 37 - a(8): If a(1) <= 0 Or a(1) > 36 Then GoTo 10
If b(a(1)) = 0 Then b(a(1)) = a(1): c(1) = a(1) Else GoTo 10
n9 = n9 + 1
GoSub 2650 'Print results (squares)
' GoSub 2645 'Print results (selected numbers)
b(c(1)) = 0: c(1) = 0
10 b(c(2)) = 0: c(2) = 0
20 b(c(7)) = 0: c(7) = 0
70 b(c(3)) = 0: c(3) = 0
30 b(c(8)) = 0: c(8) = 0
80 b(c(9)) = 0: c(9) = 0
90 Next j9
b(c(4)) = 0: c(4) = 0
40 b(c(10)) = 0: c(10) = 0
100 Next j10
b(c(5)) = 0: c(5) = 0
50 b(c(11)) = 0: c(11) = 0
110 b(c(6)) = 0: c(6) = 0
60 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(19)) = 0: c(19) = 0
190 b(c(20)) = 0: c(20) = 0
200 Next j20
b(c(25)) = 0: c(25) = 0
250 b(c(26)) = 0: c(26) = 0
260 Next j26
b(c(15)) = 0: c(15) = 0
150 b(c(16)) = 0: c(16) = 0
160 b(c(17)) = 0: c(17) = 0
170 b(c(18)) = 0: c(18) = 0
180 b(c(27)) = 0: c(27) = 0
270 b(c(28)) = 0: c(28) = 0
280 b(c(29)) = 0: c(29) = 0
290 b(c(30)) = 0: c(30) = 0
300 Next j30
b(c(31)) = 0: c(31) = 0
310 b(c(32)) = 0: c(32) = 0
320 Next j32
b(c(23)) = 0: c(23) = 0
230 b(c(24)) = 0: c(24) = 0
240 b(c(33)) = 0: c(33) = 0
330 b(c(34)) = 0: c(34) = 0
340 Next j34
b(c(21)) = 0: c(21) = 0
210 b(c(35)) = 0: c(35) = 0
350 Next j35
b(c(22)) = 0: c(22) = 0
220 b(c(36)) = 0: c(36) = 0
360 Next j36
t2 = Timer
t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s1)
y = MsgBox(t10, 0, "Routine MgcSqr6f")
End
' Print results (selected numbers)
2645 For i1 = 1 To 36
Cells(n9, i1).Value = a(i1)
Next i1
Return
' Print results (squares)
2650 n2 = n2 + 1
If n2 = 5 Then
n2 = 1: k1 = k1 + 7: k2 = 0
Else
If n9 > 1 Then k2 = k2 + 7
End If
Cells(k1 + 1, k2 + 1).Select
i3 = 0
For i1 = 1 To 6
For i2 = 1 To 6
i3 = i3 + 1
Cells(k1 + i1, k2 + i2).Value = a(i3)
Next i2
Next i1
Return
End Sub
