Puzzle: Code Breaking

[primelord]

This is an idea I have been kicking around for awhile. I have no real sense of how easy or difficult this will be for the board. Or even if there will be any interest, but it's been a pretty slow Friday afternoon so I figured what the heck. Below is an encrypted message that I created. You have everything you need there to decipher it.

Txrl7eqzoh9zEP4uslpvxknjfh
QuidXcvj0EgkszwPt98hkmirlb
u7yej6ffn3ziotsvbr4qw9dfd=
axjscmle8dErfGtwxvBrTTlxbc
=FndewjyipDzusvJmhw4u9odpq
b6ilxdrfnj5slzepwiovKjjequ
YrX4seBGwilvffhicsERdTiouX
fyTTje1cx2grw3uhfEjnf6Thfj

[QuikSand]

Well, random observations:

TT appears twice... looking quickly I don't see any other doubles at all...(oops, now I see an ff in the third and seventh rows... but there seem to be rather few doubles)

The only appearance of capital-Q is followed by a lowercase-u, but that may be coincidence

[QuikSand]

If this is a simple cipher (I have my doubts) then what would be the most likely doubles? EE? OO? TT? LL? SS? DD? BB?

(oh, there's a jj in row five too, dang)

[QuikSand]

Okay... so it looks like the universe of characters being used is, perhaps:

lower case letters (26)
upper case letters (26)
numerals (10)
equals sign?

That makes 62 or 63 different characters... tough to see how that is easily mapped onto something that makes much sense.

Maybe a mod(x) calculation is needed here?

[Buzzbee]

Numbers and an = sign make me wonder if the cipher uses a computer keyboard.

[moriarty]

The '=' sign is kind of a weird choice of characters. Could this suggest some type of keyboard offset rule or something?

Damnit Buzzbee! :D

[Buzzbee]

Okay... so it looks like the universe of characters being used is, perhaps:

lower case letters (26)
upper case letters (26)
numerals (10)
equals sign?

That makes 62 or 63 different characters... tough to see how that is easily mapped onto something that makes much sense.

Maybe a mod(x) calculation is needed here?
Perhaps combinations of letters? Numbers and = could represent punctuation?

[Buzzbee]

Eh. Not liking numbers as punctuation. The 9 and 8 together, coupled with no number at the end lead me to believe that numbers don't represent punctuation.

[QuikSand]

On a keyboard system, though... if you're going to use =, wouldn't you also expect to see - show up, at the very least? (The minus sign is to the immediate left of the equals sign)

Just devil's advocate stuff... I'm not even sure I follow what you mean by keyboard offset, just offering that obsearvation...

[QuikSand]

Each line has exactly 26 characters across... that seems like a suspicious coincidence. 25 would have made more sense if it were just blocked off randomly.

[moriarty]

On a keyboard system, though... if you're going to use =, wouldn't you also expect to see - show up, at the very least? (The minus sign is to the immediate left of the equals sign)

Just devil's advocate stuff... I'm not even sure I follow what you mean by keyboard offset, just offering that obsearvation...

Yes, I would expect to see a "-", if that were the case.

[Raiders Army]

Just some weird stuff:

Can anyone tell the difference between a one and a lowercase "l"?

Also, each line has the same number of characters...8 lines of 26 characters.

[Buzzbee]

Okay... so it looks like the universe of characters being used is, perhaps:

lower case letters (26)
upper case letters (26)
numerals (10)
equals sign?

That makes 62 or 63 different characters... tough to see how that is easily mapped onto something that makes much sense.

Maybe a mod(x) calculation is needed here?
I found a lower case a, but not an upper case A, so I don't think all 26 letters are represented in upper and lower case.

[Raiders Army]

Okay, I see the faint difference between a one and an el. The last line contains a one. I don't see the number one anywhere else.

[Buzzbee]

Well, could d = a and c = F?

Seems unlikely, but he did say that all we needed to solve was there.

[Buzzbee]

If there are 26 per row, could the first row be a simple substitution, and then used to unlock the other rows, or even each row used to unlock the subsequent row?

EDIT: Or perhaps instead of simple substitution, a 'substitution + x' where x is some shift.

[Raiders Army]

x appears a lot in there.

[QuikSand]

If there are 26 per row, could the first row be a simple substitution, and then used to unlock the other rows, or even each row used to unlock the subsequent row?

EDIT: Or perhaps instead of simple substitution, a 'substitution + x' where x is some shift.

I am thinking that each line is a puzzle unto itself -- and that something like this is in play, where the first leads to the second and so forth. The 26 has to be germane, too, I'd think,

[Buzzbee]

Along the substitution + shift line, could the numbers identify a changing shift in the substitution?

Gee, if you haven't figured out, I don't like solving these things. I just like throwing out off the wall ideas, which probably throw others off the real trail. :(

My name is Herring. Red Herring.

[Raiders Army]

Just throwing it out there, but are there eight lines of 26 characters or 26 columns of eight characters?

[stevew]

Is this the puzzle that announces the new solecismic game?

[TargetPractice6]

Here are all the character used in the order they are first seen (I think):

Txrl7eqzoh9EP4uspvknjfQidXc0gwt8mby63=aGBFDJ5KYR12

Number seen: 50

[QuikSand]

Interesting look, TP: that bunching of capital letters all at the end seems odd.

[TargetPractice6]

Interesting look, TP: that bunching of capital letters all at the end seems odd.That was the first thing that caught my eye too. Also, not sure if it means anything that there are 50 characters used total. If everything needed to break the code is in there that means there are enough characters for the real characters and the ones they represent (assuming not every letter is used).

[moriarty]

f is the most common (considering capitals and non-caps as different letters) with 12 appearances.
j has 10 appearances.

Don't know what that means, but .... f=a or e?

[TargetPractice6]

I expanded what I did before. Below the original data are the characters in the message in alphabetical or numerical order. The top row contains all of the lower case letters, the next row is only upper case letter and the last row contains the numbers and equal sign.


Txrl7eqzoh9EP4uspvknjfQidXc0gwt8mby63=aGBFDJ5KYR12
Number seen: 50

abcdefghijklmnopqrstuvwxyz
BDEFGJKPQRTXY0123456789=


Interestingly enough all lower case letters were used. Also all digits were used.

Also here are all of the characters used in alphabetical order.

abbbbcccccddddddddeeeeeeeeffffffffffffgghhhhhhhiiiiiiiiijjjjjjjjjjjkkkllllllll
mmmnnnnnoooooppppqqqqrrrrrrrrsssssssstttuuuuuuuuvvvvvvvwwwwwwwwxxxxxxxyyyzzzzzz
BBDEEEEEFGGJKPPQRTTTTTTTXXXY
012334444566677889999==

[Buzzbee]

Hmmm...is that a captial 'Oh' or a 'zero'? And does it make a difference? Since all the numbers are used, I'd lean toward it being a zero.

[TargetPractice6]

Hmmm...is that a captial 'Oh' or a 'zero'? And does it make a difference? Since all the numbers are used, I'd lean toward it being a zero.Oh man I totally forgot about zero. There is indeed one. I'll edit my previous post.

[Solecismic]

Some random thoughts:

There are 208 pieces of the key and 63 potential choices (A-Z, a-z, 0-9, =) for each piece. That leads me to believe that several pieces are used to encode each letter in the puzzle.

208 is divisible by 2, 4, 8, 13, 16, 26, 52 and 104. The most likely grouping is one or two letters encoded per line, but it's possible that the line breaks are a red herring and 4 or 8 pieces are used to encode each letter.

It's also possible that there's special significance that each line happens to be 26 pieces long. But that brings us back to a 1-for-1 encoding of some sort, which is unlikely given the number of choices for each piece.

The = sign and the use of the numbers seem to signify some sort of keyboard puzzle. The lack of other punctuation and the use of capital letters leads me to believe that should only be investigated as a last resort.

However, the = sign is unusual, and probably a good starting point to test possible solution keys.

The use of capital letters is very odd. Why are they different from lower-case letters? Looking at an ASCII table, I don't see any reason why that would be justified. First and foremost, we need a hypothesis as to what would be the difference between a capital letter and a lower case letter. The capitals seem randomly inserted in the code, which seems to defeat the idea that they are spacers or triggers of some sort - especially since they are doubled in places.

Because the pieces are laid out in a rectangular grid, we can't rule out some sort of graphical puzzle. Though usually with graphical puzzles, there's an associated piece used as a key.


In other words, I got nothing.

[Airhog]

I think the = sign is only there because the first part = the second part = the third part.

[Dutch]

I think the = sign is only there because the first part = the second part = the third part.

Or perhaps, the first 77 characters translates into the last 77 characters with the middle 26 characters in between the = being the key.

[TargetPractice6]

Or perhaps, the first 77 characters translates into the last 77 characters with the middle 26 characters in between the = being the key.But the last section is 103 characters.

[Fidatelo]

I think Primelord just opened a small zip file in notepad by accident and decided to play a game with us...

[gottimd]

Getting close to 7 hours posted and quiksand hasn't solved this yet? :eek:

[primelord]

I think Primelord just opened a small zip file in notepad by accident and decided to play a game with us...
Wouldn't that be funny? :)

[primelord]

I will warn you now. Given the amount of thought that has gone into this the resulting message is going to be a let down. Not that the content of the message is at all the point, but none the less if anyone is expecting anything interesting lower your expectations.

I received a PM asking me to give a hint. Before I did that I just wanted to see if more or less the majority wanted a hint. For what it is worth I quite impressed with the different ways you guys have attacked this so far.

[Raiders Army]

I will warn you now. Given the amount of thought that has gone into this the resulting message is going to be a let down. Not that the content of the message is at all the point, but none the less if anyone is expecting anything interesting lower your expectations.

I received a PM asking me to give a hint. Before I did that I just wanted to see if more or less the majority wanted a hint. For what it is worth I quite impressed with the different ways you guys have attacked this so far.
I tried putting it in Excel and looking for some type of symmetry. I could find none.

I don't think the resulting message would be a let down. As far as solving it, it may be one of those "doh!" moments.

[Dutch]

But the last section is 103 characters.

Attention to detail is a beautiful skill that I don't always possess. :)

[Blade6119]

If the messages is something alone the lines of "I cant believe you guys wasted your time" ill be dissapointed, but this has challenged me and i like that...im still pretty much at square one as finding the answer...i have theories out the wazoo, but nothing has clicked yet.

[QuikSand]

I will warn you now. Given the amount of thought that has gone into this the resulting message is going to be a let down. Not that the content of the message is at all the point, but none the less if anyone is expecting anything interesting lower your expectations.

I received a PM asking me to give a hint. Before I did that I just wanted to see if more or less the majority wanted a hint. For what it is worth I quite impressed with the different ways you guys have attacked this so far.

My read from this is that the "code" is simpler than the sort of things we have been considering.

[Blade6119]

i find it highly odd that the top right 3 letters and bottom 3 right letters are the exact same in reverse...anyone take a meaning from this, or mere coincidence?? :confused: :confused:

[Dutch]

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BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">e</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">q</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">z</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">o</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">h</TD><TD class=xl27 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffff" x:num>9</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">z</TD><TD class=xl28 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffcc">E</TD><TD class=xl28 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffcc">P</TD><TD class=xl27 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffff" x:num>4</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">u</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">s</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">l</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">p</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">v</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">x</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">k</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">n</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">j</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">f</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">h</TD></TR><TR style="HEIGHT: 15pt" height=20><TD class=xl24 style="BORDER-RIGHT: #e0dfe3; BORDER-TOP: #e0dfe3; BORDER-LEFT: #e0dfe3; BORDER-BOTTOM: #e0dfe3; HEIGHT: 15pt; BACKGROUND-COLOR: silver" height=20 x:num>2</TD><TD class=xl25 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext 0.5pt solid; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffcc">Q</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">u</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">i</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">d</TD><TD class=xl28 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffcc">X</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">c</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">v</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">j</TD><TD class=xl27 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffff" x:num>0</TD><TD class=xl28 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffcc">E</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">g</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">k</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">s</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">z</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">w</TD><TD class=xl28 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffcc">P</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">t</TD><TD class=xl27 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffff" x:num>9</TD><TD class=xl27 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffff" x:num>8</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">h</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">k</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">m</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">i</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">r</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">l</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">b</TD></TR><TR style="HEIGHT: 15pt" height=20><TD class=xl24 style="BORDER-RIGHT: #e0dfe3; BORDER-TOP: #e0dfe3; BORDER-LEFT: #e0dfe3; BORDER-BOTTOM: #e0dfe3; HEIGHT: 15pt; BACKGROUND-COLOR: silver" height=20 x:num>3</TD><TD class=xl29 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext 0.5pt solid; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">u</TD><TD class=xl27 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffff" x:num>7</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">y</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">e</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">j</TD><TD class=xl27 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffff" x:num>6</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">f</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">f</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">n</TD><TD class=xl27 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffff" x:num>3</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">z</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">i</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">o</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">t</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">s</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">v</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">b</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">r</TD><TD class=xl27 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffff" x:num>4</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">q</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">w</TD><TD class=xl27 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffff" x:num>9</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">d</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">f</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">d</TD><TD class=xl30 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: silver">=</TD></TR><TR style="HEIGHT: 15pt" height=20><TD class=xl24 style="BORDER-RIGHT: #e0dfe3; BORDER-TOP: #e0dfe3; BORDER-LEFT: #e0dfe3; BORDER-BOTTOM: #e0dfe3; HEIGHT: 15pt; BACKGROUND-COLOR: silver" height=20 x:num>4</TD><TD class=xl29 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext 0.5pt solid; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">a</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">x</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">j</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">s</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">c</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">m</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">l</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">e</TD><TD class=xl27 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffff" x:num>8</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">d</TD><TD class=xl28 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffcc">E</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">r</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">f</TD><TD class=xl28 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffcc">G</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">t</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">w</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">x</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">v</TD><TD class=xl28 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffcc">B</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">r</TD><TD class=xl28 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffcc">T</TD><TD class=xl28 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffcc">T</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">l</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">x</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">b</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">c</TD></TR><TR style="HEIGHT: 15pt" height=20><TD class=xl24 style="BORDER-RIGHT: #e0dfe3; BORDER-TOP: #e0dfe3; BORDER-LEFT: #e0dfe3; BORDER-BOTTOM: #e0dfe3; HEIGHT: 15pt; BACKGROUND-COLOR: silver" height=20 x:num>5</TD><TD class=xl31 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext 0.5pt solid; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: silver"> =</TD><TD class=xl28 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffcc">F</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">n</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">d</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">e</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">w</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">j</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">y</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">i</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">p</TD><TD class=xl28 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffcc">D</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">z</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">u</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">s</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">v</TD><TD class=xl28 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffcc">J</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">m</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">h</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">w</TD><TD class=xl27 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffff" x:num>4</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">u</TD><TD class=xl27 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffff" x:num>9</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">o</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">d</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">p</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">q</TD></TR><TR style="HEIGHT: 15pt" height=20><TD class=xl24 style="BORDER-RIGHT: #e0dfe3; BORDER-TOP: #e0dfe3; BORDER-LEFT: #e0dfe3; BORDER-BOTTOM: #e0dfe3; HEIGHT: 15pt; BACKGROUND-COLOR: silver" height=20 x:num>6</TD><TD class=xl29 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext 0.5pt solid; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">b</TD><TD class=xl27 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffff" x:num>6</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">i</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">l</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">x</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">d</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">r</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">f</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">n</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">j</TD><TD class=xl27 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffff" x:num>5</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">s</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">l</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">z</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">e</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">p</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">w</TD><TD class=xl28 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffcc">I</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">o</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">v</TD><TD class=xl28 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffcc">K</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">j</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">j</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">e</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">q</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">u</TD></TR><TR style="HEIGHT: 15pt" height=20><TD class=xl24 style="BORDER-RIGHT: #e0dfe3; BORDER-TOP: #e0dfe3; BORDER-LEFT: #e0dfe3; BORDER-BOTTOM: #e0dfe3; HEIGHT: 15pt; BACKGROUND-COLOR: silver" height=20 x:num>7</TD><TD class=xl25 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext 0.5pt solid; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffcc">Y</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">r</TD><TD class=xl28 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffcc">X</TD><TD class=xl27 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffff" x:num>4</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">s</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">e</TD><TD class=xl28 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffcc">B</TD><TD class=xl28 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffcc">G</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">w</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">i</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">l</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">v</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">f</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">f</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">h</TD><TD class=xl28 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffcc">I</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">c</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">s</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">E</TD><TD class=xl28 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffcc">R</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">d</TD><TD class=xl28 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffcc">T</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">i</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">o</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">u</TD><TD class=xl28 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffcc">X</TD></TR><TR style="HEIGHT: 15pt" height=20><TD class=xl24 style="BORDER-RIGHT: #e0dfe3; BORDER-TOP: #e0dfe3; BORDER-LEFT: #e0dfe3; BORDER-BOTTOM: #e0dfe3; HEIGHT: 15pt; BACKGROUND-COLOR: silver" height=20 x:num>8</TD><TD class=xl29 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext 0.5pt solid; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">f</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">y</TD><TD class=xl28 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffcc">T</TD><TD class=xl28 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffcc">T</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">j</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">e</TD><TD class=xl27 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffff" x:num>1</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">c</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">x</TD><TD class=xl27 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffff" x:num>2</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">g</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">r</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">w</TD><TD class=xl27 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffff" x:num>3</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">u</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">h</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">f</TD><TD class=xl28 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffcc">E</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">j</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">n</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">f</TD><TD class=xl27 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffff" x:num>6</TD><TD class=xl28 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: #ccffcc">T</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">h</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">f</TD><TD class=xl26 style="BORDER-RIGHT: windowtext 0.5pt solid; BORDER-TOP: windowtext; BORDER-LEFT: windowtext; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent">j</TD></TR></TBODY></TABLE>

Just for reference. I hope I'm not making things worse! Thanks to Monte for keeping my color coding straight. :)

[Barkeep49]

I really like the idea of line 4 being the cipher's key. I had a thought about it being something about how many charcters to skip when counting but the first four lettets worked out to TOIT which while forming two words doesn't make sense.

[primelord]

Well maybe I will give you guys a slight nudge in the right direction. Something Jim said in one of his thoughts was along the right direction.

[Dutch]

Well maybe I will give you guys a slight nudge in the right direction. Something Jim said in one of his thoughts was along the right direction.
I hope it wasn't the "In other words, I got nothing." part. :)

[Buccaneer]

Probably convert the characters to decimal (or similar) and then go from there.

[Rizon]

http://w1tp.com/enigma/u_101a.jpg

[QuikSand]

My two favorite candidates for what might have been in the right direction...

Looking at an ASCII table...


Because the pieces are laid out in a rectangular grid, we can't rule out some sort of graphical puzzle.

[monte_mcguire]

This ends another 1 of my
psychology experiments.The
following is a puzzle key=
abcdefghijklmnopqrstuvwxyz
= I can’t believe how long
some tried this puzzle! It
is an ingenious way 2 keep
them distracted from FOFC!

I could be wrong though.

[Pumpy Tudors]

If primelord ever uses "2" in place of the word "to", I propose that we rise up as one and kill him.

[primelord]

Has everyone given up on this? More hints?

[QuikSand]

Guess we need a hint... certainly seems that way.

[moriarty]

Has everyone given up on this? More hints?

So monte didn't solve it. :confused:

edit: or Monte made a joke and I didn't get it. :(

[QuikSand]

So monte didn't solve it. :confused:

edit: or Monte made a joke and I didn't get it. :(

I was right there with you. I was awaiting the explanation... and now based on primelord's response, I guess it was just a joke.

[Pumpy Tudors]

Ha ha. I knew it was a joke. Victory is mine, and I haven't even solved the damned puzzle.

[monte_mcguire]

um, sorry, My response was a joke. It was my way of saying I give up. :(

[primelord]

Yeah sorry I assumed it was obvious monte made a joke.

Ok I think the biggest problem I have seen to your approaches so far is most of them seem to be assuming a one to one substitution with existing characters. Most encryption ciphers add unused characters to the message. You should be looking for a way to remove some of those characters.

[primelord]

I guess maybe it is because I know the answer that this seems so simple to me, but I am kind of surprised no one ever got this. Again I am bored so I figured I would ressurect it and see if anyone had an interest in taking another crack at it. Below are some quoted thoughts that were heading in at least somewhat the right direction.

Eh. Not liking numbers as punctuation. The 9 and 8 together, coupled with no number at the end lead me to believe that numbers don't represent punctuation.

Each line has exactly 26 characters across... that seems like a suspicious coincidence. 25 would have made more sense if it were just blocked off randomly.

Well, could d = a and c = F?

Seems unlikely, but he did say that all we needed to solve was there.

The above isn't correct, but is thinking in the right way.

Along the substitution + shift line, could the numbers identify a changing shift in the substitution?

It's also possible that there's special significance that each line happens to be 26 pieces long.

However, the = sign is unusual, and probably a good starting point to test possible solution keys.

My read from this is that the "code" is simpler than the sort of things we have been considering.

[twothree]

I need more hints in order to attempt a solution on a puzzle that old. :D

Feel free to answer any of these questions... :)

Is that a "zero" or an upper case "Oh" in the encoded message? It looks like a zero and a copy and paste into a different font verifies it is a zero, but did you want it to be a "zero" or is it suppose to be an upper case "Oh"?

In what direction should we read the message? Left to right and then down the page? Or, in some other direction?

Are spaces included in the original message?

Is capitalization used to indicate the beginning of a word?

How many characters are in the original message?

[primelord]

Is that a "zero" or an upper case "Oh" in the encoded message? It looks like a zero and a copy and paste into a different font verifies it is a zero, but did you want it to be a "zero" or is it suppose to be an upper case "Oh"?

It is a zero. However in this particular case it is just a filler character. Changing that character to any other character would not change the message.

In what direction should we read the message? Left to right and then down the page? Or, in some other direction?

Left to right.

Are spaces included in the original message?

No

Is capitalization used to indicate the beginning of a word?

No, but translated letters that are capitilized should remain so.

How many characters are in the original message?

I'll wait to answer this question if the other clues do not help. I will say though that the message has fewer characters than are contained int he block of code.

[Crim]

I think I've pulled a brain ligament.

[Kodos]

Why doesn't someone just sim 10,000 solutions and then look for patterns in the data?


;)

[primelord]

Why doesn't someone just sim 10,000 solutions and then look for patterns in the data?


;)

That's a fine idea.

[twothree]

Things that I have tried...

Looking at various ways to eliminating pieces of the code using prime numbers, using the numbers given in the encryption (this was my problem with the "zero" in the encryption), using the "=" signs as three equal equations that are understood to have missing multiplication signs between the variables. The problem with these methods beside not producing any results is that none of the methods made use of the encryption having 26 characters per line.

So with 26 characters per line, I tried writing the alphabet from a to z above the encryption and then eliminating every character in a column that did not match the key. I then tried rotating the key by one letter ( bcdef...xyza) and again eliminating every character in a column that did not match the key. I went through all 26 keys (next (cdef...xyzab), then (defg...xyzabc), etc.), and no clear message was visible to me using any of the 26 keys. I tried to look for a key in the encryption to use, but since every line has a number which I don't think should be part of the key and since every line has a repeated letter I couldn't find a 26 character key in the encryption.

That's it for me... :(

[primelord]

I think you guys are making this into a more complex cipher than it really is. The rules for decrypting the message is in the scarambled text. A few more hints and then I guess I will just give you the answer. :)

There are two steps to decrypting the message. The = signs are absolutely a key to one of the steps. No one has figured out what they mean yet. The following quote was getting close though:

Well, could d = a and c = F?

Seems unlikely, but he did say that all we needed to solve was there.

You need to figure out how to eliminate the unused extra characters. An example of how to do that is in the code.