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PUZZLET 180

Generating Reverse Runs


Take a 5-digit integer whose digits are all different, and which doesn't include a zero.  Multiply the first two digits by the middle digit, then multiply the resultant by the last two digits. Using the correct digits it's possible to generate a reverse run (where each digit is one less than its predecessor).

Example: 43289 -> 43 x 2 x 89 = 7654.

Can you find any other 5-digit integers capable of generating a reverse run in this way?



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Last Updated: January 17th, 2010.