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Problem: Count Anagrams

Medium
30 min
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 + 77, i.e., return the remainder when the answer is divided by 10910^9 + 77.

Note: An anagram is a word formed by rearranging the letters of another word, using all the original letters exactly once. For example, “listen” is an anagram of “silent”. Similarly, a string t is an anagram of string s if the ith word of t is a permutation of the ith word of s. For example, “silent era” is an anagram of “listen ear”, but "sline tear" is not.

Constraints:

  • 11 \leq s.length 103\leq 10^3

  • s consists of lowercase English letters and spaces ' '.

  • There is only a single space between consecutive words.

Problem
Ask
Submissions

Problem: Count Anagrams

Medium
30 min
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 + 77, i.e., return the remainder when the answer is divided by 10910^9 + 77.

Note: An anagram is a word formed by rearranging the letters of another word, using all the original letters exactly once. For example, “listen” is an anagram of “silent”. Similarly, a string t is an anagram of string s if the ith word of t is a permutation of the ith word of s. For example, “silent era” is an anagram of “listen ear”, but "sline tear" is not.

Constraints:

  • 11 \leq s.length 103\leq 10^3

  • s consists of lowercase English letters and spaces ' '.

  • There is only a single space between consecutive words.