Using careful experimentation and exploration, we craft the desired formula that guarantees an equal number of 100 and 001 in a binary string.

Congratulations to attyfarbuckle, alonamaloh, Rishav Gupta, Allaizn, Nicola C, Jaleb, and Sonal Kumari for successfully solving this math challenge question! attyfarbuckle was the first person to solve the question.

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