' Generates Pan Magic Squares, 2 x 2 Compact of order 6, Magic Sum 150
' Based on numbers 1 thru 49, excluding 4, 11, 18, 22 ... 28, 32, 39, 46
' Tested with Office 2007 under Windows 7
Sub MgcSqr6g2()
Dim a(50), b(50), c(50)
y = MsgBox("Locked", vbCritical, "Routine MgcSqr6g2")
End
n2 = 0: n9 = 0
m1 = 1: m2 = 49: s1 = 150
' Generate data
Sheets("Klad2").Select
t1 = Timer
b(4) = 4: b(11) = 11: b(18) = 18: b(32) = 32: b(39) = 39: b(46) = 46
For j1 = 22 To 28: b(j1) = j1: Next j1
For j36 = m1 To m2 'a(36)
If b(j36) = 0 Then b(j36) = j36: c(36) = j36 Else GoTo 360
a(36) = j36
For j35 = m1 To m2 'a(35)
If b(j35) = 0 Then b(j35) = j35: c(35) = j35 Else GoTo 350
a(35) = j35
For j34 = m1 To m2 'a(34)
If b(j34) = 0 Then b(j34) = j34: c(34) = j34 Else GoTo 340
a(34) = j34
For j33 = m1 To m2 'a(33)
If b(j33) = 0 Then b(j33) = j33: c(33) = j33 Else GoTo 330
a(33) = j33
For j32 = m1 To m2 'a(32)
If b(j32) = 0 Then b(j32) = j32: c(32) = j32 Else GoTo 320
a(32) = j32
j31 = 150 - a(32) - a(33) - a(34) - a(35) - a(36)
If j31 <= 0 Or j31 > 49 Then GoTo 310
If b(j31) = 0 Then b(j31) = j31: c(31) = j31 Else GoTo 310
a(31) = j31
For j30 = m1 To m2 'a(30)
If b(j30) = 0 Then b(j30) = j30: c(30) = j30 Else GoTo 300
a(30) = j30
j29 = 100 - a(30) - a(35) - a(36)
If j29 <= 0 Or j29 > 49 Then GoTo 290
If b(j29) = 0 Then b(j29) = j29: c(29) = j29 Else GoTo 290
a(29) = j29
j28 = a(30) - a(34) + a(36)
If j28 <= 0 Or j28 > 49 Then GoTo 280
If b(j28) = 0 Then b(j28) = j28: c(28) = j28 Else GoTo 280
a(28) = j28
j27 = 100 - a(30) - a(33) - a(36)
If j27 <= 0 Or j27 > 49 Then GoTo 270
If b(j27) = 0 Then b(j27) = j27: c(27) = j27 Else GoTo 270
a(27) = j27
j26 = a(30) - a(32) + a(36)
If j26 <= 0 Or j26 > 49 Then GoTo 260
If b(j26) = 0 Then b(j26) = j26: c(26) = j26 Else GoTo 260
a(26) = j26
j25 = -50 - a(30) + a(32) + a(33) + a(34) + a(35)
If j25 <= 0 Or j25 > 49 Then GoTo 250
If b(j25) = 0 Then b(j25) = j25: c(25) = j25 Else GoTo 250
a(25) = j25
For j24 = m1 To m2 'a(24)
If b(j24) = 0 Then b(j24) = j24: c(24) = j24 Else GoTo 240
a(24) = j24
j23 = -a(24) + a(35) + a(36)
If j23 <= 0 Or j23 > 49 Then GoTo 230
If b(j23) = 0 Then b(j23) = j23: c(23) = j23 Else GoTo 230
a(23) = j23
j22 = a(24) + a(34) - a(36)
If j22 <= 0 Or j22 > 49 Then GoTo 220
If b(j22) = 0 Then b(j22) = j22: c(22) = j22 Else GoTo 220
a(22) = j22
j21 = -a(24) + a(33) + a(36)
If j21 <= 0 Or j21 > 49 Then GoTo 210
If b(j21) = 0 Then b(j21) = j21: c(21) = j21 Else GoTo 210
a(21) = j21
j20 = a(24) + a(32) - a(36)
If j20 <= 0 Or j20 > 49 Then GoTo 200
If b(j20) = 0 Then b(j20) = j20: c(20) = j20 Else GoTo 200
a(20) = j20
j19 = 150 - a(24) - a(32) - a(33) - a(34) - a(35)
If j19 <= 0 Or j19 > 49 Then GoTo 190
If b(j19) = 0 Then b(j19) = j19: c(19) = j19 Else GoTo 190
a(19) = j19
For j18 = m1 To m2 'a(18)
If b(j18) = 0 Then b(j18) = j18: c(18) = j18 Else GoTo 180
a(18) = j18
a(17) = 100 - a(18) - a(35) - a(36): If a(17) <= 0 Or a(17) > 49 Then GoTo 170
a(16) = a(18) - a(34) + a(36): If a(16) <= 0 Or a(16) > 49 Then GoTo 170
a(15) = 100 - a(18) - a(33) - a(36): If a(15) <= 0 Or a(15) > 49 Then GoTo 170
a(14) = a(18) - a(32) + a(36): If a(14) <= 0 Or a(14) > 49 Then GoTo 170
a(13) = -50 - a(18) + a(32) + a(33) + a(34) + a(35): If a(13) <= 0 Or a(13) > 49 Then GoTo 170
a(12) = 75 - a(24) - a(32) - a(34) + a(36): If a(12) <= 0 Or a(12) > 49 Then GoTo 170
a(11) = -75 + a(24) + a(32) + a(34) + a(35): If a(11) <= 0 Or a(11) > 49 Then GoTo 170
a(10) = 75 - a(24) - a(32): If a(10) <= 0 Or a(10) > 49 Then GoTo 170
a(9) = -75 + a(24) + a(32) + a(33) + a(34): If a(9) <= 0 Or a(9) > 49 Then GoTo 170
a(8) = 75 - a(24) - a(34): If a(8) <= 0 Or a(8) > 49 Then GoTo 170
a(7) = 75 + a(24) - a(33) - a(35) - a(36): If a(7) <= 0 Or a(7) > 49 Then GoTo 170
a(6) = 75 - a(18) - a(30) + a(32) + a(34) - 2 * a(36): If a(6) <= 0 Or a(6) > 49 Then GoTo 170
a(5) = 25 + a(18) + a(30) - a(32) - a(34) - a(35) + a(36): If a(5) <= 0 Or a(5) > 49 Then GoTo 170
a(4) = 75 - a(18) - a(30) + a(32) - a(36): If a(4) <= 0 Or a(4) > 49 Then GoTo 170
a(3) = 25 + a(18) + a(30) - a(32) - a(33) - a(34) + a(36): If a(3) <= 0 Or a(3) > 49 Then GoTo 170
a(2) = 75 - a(18) - a(30) + a(34) - a(36): If a(2) <= 0 Or a(2) > 49 Then GoTo 170
a(1) = -125 + a(18) + a(30) + a(33) + a(35) + 2 * a(36): If a(1) <= 0 Or a(1) > 49 Then GoTo 170
' Exclude solutions with identical numbers
GoSub 800: If fl1 = 0 Then GoTo 170
n9 = n9 + 1
GoSub 650 'Print results (squares)
' GoSub 645 'Print results (selected numbers)
170 b(c(18)) = 0: c(18) = 0
180 Next j18
b(c(19)) = 0: c(19) = 0
190 b(c(20)) = 0: c(20) = 0
200 b(c(21)) = 0: c(21) = 0
210 b(c(22)) = 0: c(22) = 0
220 b(c(23)) = 0: c(23) = 0
230 b(c(24)) = 0: c(24) = 0
240 Next j24
b(c(25)) = 0: c(25) = 0
250 b(c(26)) = 0: c(26) = 0
260 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(33)) = 0: c(33) = 0
330 Next j33
b(c(34)) = 0: c(34) = 0
340 Next j34
b(c(35)) = 0: c(35) = 0
350 Next j35
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 MgcSqr6g2")
End
' Print results (selected numbers)
645 Cells(n9, 1).Select
For i1 = 1 To 36
Cells(n9, i1).Value = a(i1)
Next i1
Return
' Print results (squares)
650 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
' Exclude solutions with identical numbers or excluded values
800 fl1 = 1
For j1 = 1 To 36
a2 = a(j1)
GoSub 900 ' Check excluded values
If fl1 = 0 Then GoTo 850
For j2 = (1 + j1) To 36
If a2 = a(j2) Then fl1 = 0: GoTo 850
Next j2
Next j1
850 Return
' Check excluded values (for calculated values)
900 If a2 = 4 Then fl1 = 0: Return
If a2 = 11 Then fl1 = 0: Return
If a2 = 18 Then fl1 = 0: Return
If a2 = 32 Then fl1 = 0: Return
If a2 = 39 Then fl1 = 0: Return
If a2 = 46 Then fl1 = 0: Return
For j3 = 22 To 28
If a2 = j3 Then fl1 = 0: Exit For
Next j3
Return
End Sub
