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Count Anagrams

Explore how to count the number of distinct anagrams of a given multi-word string efficiently. Learn to apply modular arithmetic to handle large results and understand the importance of tracking word permutations. This lesson develops skills to solve problems involving permutations and anagrams, crucial for coding interviews.

Statement

You are given a string, s, containing one or more words separated by a single space. Your task is to count and return the number of distinct anagrams of the entire string s. As the answer may be very large, return it modulo 10910^9 + ...