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Count Anagrams

You are given a string s containing one or more words.

You are given a string s containing one or more words. Every consecutive pair of words is separated by a single space ' '.

A string t is an anagram of string s if the ith word of t is a permutation of the ith word of s.

Return the number of distinct anagrams of s. Since the answer may be very large, return it modulo 10^9 + 7.

Count Anagrams diagram

Example 1

Input: s = "too hot"

Output: 18

Explanation: Some of the anagrams of the given string are "too hot", "oot hot", "oto toh", "too toh", and "too oht".

Example 2

Input: s = "aa"

Output: 1

Explanation: There is only one anagram possible for the given string.

Constraints

  • 1 <= s.length <= 10^5
  • s consists of lowercase English letters and spaces ' '.
  • There is single space between consecutive words.

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