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#1 User is offline   rookie1ja Icon

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Posted 31 March 2007 - 05:41 PM

No. 4 - Back to the Cryptograms and Algebra Puzzles
Replace the same characters by the same numerals so that the mathematical operations are correct.
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MONEY



Spoiler for Solution:
No. 4 - solution
9567 + 1085 = 10652

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#2 User is offline   fosley Icon

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Posted 11 May 2007 - 07:36 PM

I created a brute-force algorithm to quickly test every possible combination, and I came up with a couple things.

Assuming leading zeroes aren't allowed and two letters can't represent the same number, you have the only correct answer. However, allowing non-unique letter values gives 155 possible answers (such as "9000 + 1000 = 10000"), allowing leading zeroes gives 25 possible combinations (such as "8324 + 0913 = 09237"), and allowing both gives 1155 possible combinations (such as "0000 + 0000 = 00000").

Is there some place that states these rules have to be followed?
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#3 User is offline   rookie1ja Icon

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Posted 11 May 2007 - 07:43 PM

Leading zeroes aren't allowed and two letters can't represent the same number.
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#4 User is offline   mdusoe Icon

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Posted 09 July 2007 - 08:47 PM

I agree with fosley.

I love these types of puzzles, and so I understand the rules. However, the way you have them worded here kind of leaves room for "interpretation". Maybe something like:

For each puzzle, replace each letter with one of the numerals 0 through 9 so that the resulting mathematical operations stand true.  There can be no leading zeroes in any part of an equation.  Within a given puzzle, every instance of a given letter will represent the same numeral, and each numeral will be represented by at most one letter (not all numerals will appear in every puzzle).

It just makes the rules a little clearer for those that have never worked this type of puzzle before.

By the way, this puzzle in particular as a good one. The E was the most difficult part to solve.

Great work, and I look forward to working on more!

Mike.
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#5 User is offline   whocheersbees Icon

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Posted 01 January 2008 - 08:48 AM

funny, and hard
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#6 User is offline   zuozhu Icon

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Posted 30 June 2008 - 06:18 PM

It was in the manga REMOTE
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