' Generates Magic Squares (6 x 6)
' Square of the Sun

' Tested with Office 2007 under Windows 7

```Sub MgcSqr61114()

Dim a1(81), a(36), b1(81), b(81), c(36)

y = MsgBox("Locked", vbCritical, "Routine MgcSqr61114")
End

n2 = 0: n3 = 0: n9 = 0: n10 = 0: k1 = 1: k2 = 1

t1 = Timer

For j101 = 111 To 111

'   Define variables

s1 = j101         'MC6
nVar1 = 36

For i1 = 1 To nVar1: a1(i1) = i1: Next i1

m1 = 1: m2 = nVar1

Erase b1

For i1 = m1 To m2: b1(a1(i1)) = a1(i1): Next i1

'   Generate Squares

'   Row 1

For j36 = m2 To m1 Step -1                                                'a(36)
If b(a1(j36)) = 0 Then b(a1(j36)) = a1(j36): c(36) = a1(j36) Else GoTo 360
a(36) = a1(j36)

a(1) = 2 * s1 / 6 - a(36): If b(a(1)) = 0 Then b(a(1)) = a(1): c(1) = a(1) Else GoTo 10

For j35 = m1 To 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(5) = 2 * s1 / 6 - a(35): If b(a(5)) = 0 Then b(a(5)) = a(5): c(5) = a(5) Else GoTo 50

For j34 = m2 To m1 Step -1                                                'a(34)
If b(a1(j34)) = 0 Then b(a1(j34)) = a1(j34): c(34) = a1(j34) Else GoTo 340
a(34) = a1(j34)

a(33) = 2 * s1 / 6 - a(34): If b(a(33)) = 0 Then b(a(33)) = a(33): c(33) = a(33) Else GoTo 330

For j32 = m1 To m2                                                        'a(32)
If b(a1(j32)) = 0 Then b(a1(j32)) = a1(j32): c(32) = a1(j32) Else GoTo 320
a(32) = a1(j32)

a(2) = 2 * s1 / 6 - a(32): If b(a(2)) = 0 Then b(a(2)) = a(2): c(2) = a(2) Else GoTo 20

a(31) = s1 - a(32) - a(33) - a(34) - a(35) - a(36)
If a(31) < a1(m1) Or a(31) > a1(m2) Then GoTo 310
If b1(a(31)) = 0 Then GoTo 310
If b(a(31)) = 0 Then b(a(31)) = a(31): c(31) = a(31) Else GoTo 310

a(6) = 2 * s1 / 6 - a(31): If b(a(6)) = 0 Then b(a(6)) = a(6): c(6) = a(6) Else GoTo 60

'   Diagonal 1

For j29 = m1 To m2                                                        'a(29)
If b(a1(j29)) = 0 Then b(a1(j29)) = a1(j29): c(29) = a1(j29) Else GoTo 290
a(29) = a1(j29)

a(8) = 2 * s1 / 6 - a(29): If b(a(8)) = 0 Then b(a(8)) = a(8): c(8) = a(8) Else GoTo 80

For j22 = m1 To m2                                                        'a(22)
If b(a1(j22)) = 0 Then b(a1(j22)) = a1(j22): c(22) = a1(j22) Else GoTo 220
a(22) = a1(j22)

a(15) = 2 * s1 / 6 - a(22): If b(a(15)) = 0 Then b(a(15)) = a(15): c(15) = a(15) Else GoTo 150

'   Col 2/5

For j23 = m1 To m2                                                        'a(23)
If b(a1(j23)) = 0 Then b(a1(j23)) = a1(j23): c(23) = a1(j23) Else GoTo 230
a(23) = a1(j23)

a(20) = 2 * s1 / 6 - a(23): If b(a(20)) = 0 Then b(a(20)) = a(20): c(20) = a(20) Else GoTo 200

For j17 = 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(14) = 2 * s1 / 6 - a(17): If b(a(14)) = 0 Then b(a(14)) = a(14): c(14) = a(14) Else GoTo 140

a(11) = s1 - a(5) - a(17) - a(23) - a(29) - a(35)
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(26) = 2 * s1 / 6 - a(11): If b(a(26)) = 0 Then b(a(26)) = a(26): c(26) = a(26) Else GoTo 260

'   Diagonal 2

For j21 = 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(16) = 2 * s1 / 6 - a(21): If b(a(16)) = 0 Then b(a(16)) = a(16): c(16) = a(16) Else GoTo 160

'   Row 6

a(4) = 2 * s1 / 6 + a(21) - a(22) - a(34)
If a(4) < a1(m1) Or a(4) > a1(m2) Then GoTo 40
If b1(a(4)) = 0 Then GoTo 40
If b(a(4)) = 0 Then b(a(4)) = a(4): c(4) = a(4) Else GoTo 40

a(3) = 2 * s1 / 6 - a(4): If b(a(3)) = 0 Then b(a(3)) = a(3): c(3) = a(3) Else GoTo 30

'  Col 3

For j28 = m1 To m2                                                        'a(28)
If b(a1(j28)) = 0 Then b(a1(j28)) = a1(j28): c(28) = a1(j28) Else GoTo 280
a(28) = a1(j28)

a(10) = 2 * s1 / 6 - a(28): If b(a(10)) = 0 Then b(a(10)) = a(10): c(10) = a(10) Else GoTo 100

'  Col 4

a(27) = 10 * s1 / 6 - a(28) - a(17) - a(23) - 2 * a(29) - a(5) - a(35) - a(1) - a(36)
If a(27) < a1(m1) Or a(27) > a1(m2) Then GoTo 270
If b1(a(27)) = 0 Then GoTo 270
If b(a(27)) = 0 Then b(a(27)) = a(27): c(27) = a(27) Else GoTo 270

a(9) = 2 * s1 / 6 - a(27): If b(a(9)) = 0 Then b(a(9)) = a(9): c(9) = a(9) Else GoTo 90

'   Row 3/4

For j24 = m1 To m2                                                        'a(24)
If b(a1(j24)) = 0 Then b(a1(j24)) = a1(j24): c(24) = a1(j24) Else GoTo 240
a(24) = a1(j24)

a(19) = 8 * s1 / 6 - a(24) - a(21) - a(22) - 2 * a(1) - 2 * a(36)
If a(19) < a1(m1) Or a(19) > a1(m2) Then GoTo 190
If b1(a(19)) = 0 Then GoTo 190
If b(a(19)) = 0 Then b(a(19)) = a(19): c(19) = a(19) Else GoTo 190

a(18) = 2 * s1 / 6 - a(24): If b(a(18)) = 0 Then b(a(18)) = a(18): c(18) = a(18) Else GoTo 180

a(13) = 2 * s1 / 6 - a(19): If b(a(13)) = 0 Then b(a(13)) = a(13): c(13) = a(13) Else GoTo 130

' remainder

For j30 = m1 To m2                                                        'a(30)
If b(a1(j30)) = 0 Then b(a1(j30)) = a1(j30): c(30) = a1(j30) Else GoTo 300
a(30) = a1(j30)

a(25) = 2 * s1 / 6 - a(30): If b(a(25)) = 0 Then b(a(25)) = a(25): c(25) = a(25) Else GoTo 250

a(12) = 2 * s1 / 6 - a(30) - a(32) - a(35) + 2 * a(1)
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(7) = 2 * s1 / 6 - a(12): If b(a(7)) = 0 Then b(a(7)) = a(7): c(7) = a(7) Else GoTo 70

n9 = n9 + 1
GoSub 2650              'Print results (squares)
'                          GoSub 2645              'Print results (selected numbers)
'                          Erase b, c: GoTo 500    'Print only first square

5

b(c(7)) = 0: c(7) = 0
70  b(c(12)) = 0: c(12) = 0
120 b(c(25)) = 0: c(25) = 0
250 b(c(30)) = 0: c(30) = 0
300 Next j30

b(c(13)) = 0: c(13) = 0
130 b(c(18)) = 0: c(18) = 0
180 b(c(19)) = 0: c(19) = 0
190 b(c(24)) = 0: c(24) = 0
240 Next j24

b(c(9)) = 0: c(9) = 0
90  b(c(27)) = 0: c(27) = 0
270 b(c(10)) = 0: c(10) = 0
100 b(c(28)) = 0: c(28) = 0
280 Next j28

b(c(3)) = 0: c(3) = 0
30  b(c(4)) = 0: c(4) = 0
40  b(c(16)) = 0: c(16) = 0
160 b(c(21)) = 0: c(21) = 0
210 Next j21

b(c(26)) = 0: c(26) = 0
260 b(c(11)) = 0: c(11) = 0
110 b(c(14)) = 0: c(14) = 0
140 b(c(17)) = 0: c(17) = 0
170 Next j17

b(c(20)) = 0: c(20) = 0
200 b(c(23)) = 0: c(23) = 0
230 Next j23

b(c(15)) = 0: c(15) = 0
150 b(c(22)) = 0: c(22) = 0
220 Next j22

b(c(8)) = 0: c(8) = 0
80  b(c(29)) = 0: c(29) = 0
290 Next j29

b(c(6)) = 0: c(6) = 0
60  b(c(31)) = 0: c(31) = 0
310 b(c(2)) = 0: c(2) = 0
20  b(c(32)) = 0: c(32) = 0
320 Next j32

b(c(33)) = 0: c(33) = 0
330 b(c(34)) = 0: c(34) = 0
340 Next j34

b(c(5)) = 0: c(5) = 0
50  b(c(35)) = 0: c(35) = 0
350 Next j35

b(c(1)) = 0: c(1) = 0
10  b(c(36)) = 0: c(36) = 0
360 Next j36

500 Next j101

t2 = Timer

t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s1)
y = MsgBox(t10, 0, "Routine MgcSqr61114")

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 = 1
Else
If n9 > 1 Then k2 = k2 + 7
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 6
For i2 = 1 To 6
i3 = i3 + 1
Cells(k1 + i1, k2 + i2).Value = a(i3)
Next i2
Next i1

Return

End Sub
```