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Pandigital and Pretty Powerful V (Posted on 2023-04-20) Difficulty: 3 of 5
Determine all triplets (X, Y, Z) of base 12 positive integers such that the duodecimal representation of XY*(X+1)Z has no leading zeroes and contains each of the digits from 0 to B exactly once, with the restriction that: at least one of Y and Z is different from 1.

What is the total number of such triplets without any restriction?

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

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re: solution, I hope Comment 2 of 2 |
(In reply to solution, I hope by Charlie)

There was actually a small bug in the program but it had no real effect. It should have started x1 off at a value of 2, rather than a number large enough so that taking a power could bring it to the lowest pandigital.


The only effect of correcting this is to show the two solutions each with their factors reversed--really the same numbers.

  Posted by Charlie on 2023-04-20 22:06:24
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