Fuzzy Conversions

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Raj is a math pro and number theory expert. One day, he met his age-old friend Chef. Chef claimed to be better at number theory than Raj, so Raj gave him some fuzzy problems to solve. In one of those problems, he gave Chef a $3$-tuple of non-negative integers $(a_0, b_0, c_0)$ and told Chef to convert it to another tuple $(x, y, z)$. Chef may perform the following operations any number of times (

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solution.cppC++17

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