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Expert: - 7/18/2009


Question
Affine Cipher
Affine Cipher  
QUESTION: I searched simplex algorithum solver and put in the problem...came up with NaN???  Also, for Affine Anagram, I believe they are hinting at "affine cipher"  Any clue how to combine the problem and the cipher, to possibly come up with a word?   If you would like to look at the puzzle for yourself, I  sent you a picture...Thanks, Mike

Solving
Solving  
ANSWER: I answered the question in excel and sent the printout to a file.

Note that I also added one slack variable for each row and put a 1 in the row that it was added to.

The first column is the factor that the main row is multiplied by to add to the other rows.  In the row chosen, it is the factor that the row that it is in is multiplied by.

The row is in bold to indicate which row is being reduced to 1.
The row is not in bold if the number in the first column is multiplied by that bold row and added to that row.

I multiplied the first row of two rows after the basic equation by 1/7.  I added 1/7 to the top and added 9/7 to the bottom.

All of the decimals are fractions, and I believe all of them are in sevenths.  If they start with 0.14, they're 1/7; 0.28, 2/7;
0.42, 3/7; 0.56, 4/7, etc. for 1/7 = 0.142857...



---------- FOLLOW-UP ----------

QUESTION: on the excel sheet...at the bottom right it says 45,  21,  24.   Is that the answer to the problem?  Just trying to figure out exactly what numbers I need to decode using the affine cypher.

Answer
Yes, those are the answers to the math problem.

I have no idea how to come up with a affine cypher.

From what I've seen when I've put affine cypher in the search box,
the numbers are chosen randomly.  There might be something in this math problem to say which numbers to use.  21 and 24 are the only two numbers less than 26.  The numbers 21 and 45 are relatively prime compared to 26, whereas 24 and 26 are both divisible by 2.

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