Problem 55330. Convert Periodic Continued Fraction to Fractional Radical Representation

Created by David Hill

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Every periodic continued fraction can be prepresented by a number of the form  where p, q, and d are all integers with d>0, , and d not a perfect square. Given the cointued fraction sequence, both the beginning sequence and cyclic part of the sequence [front, cyclic], output the unique p, q, and d (in reduced form). p and q can both be negative.

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Last Solution submitted on Nov 30, 2022

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Tim on 1 Sep 2022

Tests 8 and 9 have Z(1) three times instead of, presumably, Z(1), Z(2), and Z(3) (not that it's going to help me any).

David Hill on 1 Sep 2022

Thanks, that was not my intent. I corrected the test suite.

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Problem 55330. Convert Periodic Continued Fraction to Fractional Radical Representation

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Problem 55330. Convert Periodic Continued Fraction to Fractional Radical Representation

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Last 200 Solutions

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Problem Recent Solvers1

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More from this Author54

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