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Solution: Count the Number of Good Subsequences

Explore how to count the number of good subsequences in a string, where each character appears with equal frequency. Understand the use of dynamic programming and binomial coefficients to compute combinations efficiently, while managing large input sizes. This lesson guides you through calculating factorials and modular inverses to avoid recomputation, helping you solve this combinatorial problem within optimal time and space complexity.

Statement

Count and return the number of good subsequences in the given string s. You may return the modulo 109+710^9 + 7 of the count.

  • A subsequence is a sequence formed from another sequence by deleting some or no elements while keeping the order of the remaining elements unchanged.

  • good subsequence is a subsequence of a string if it is not empty and the frequency of each character is the same.

Constraints:

  • 11 \leqs.length 104\leq 10^4

  • s will only contain ...