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