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Solution: Count the Number of Good Subsequences

Explore how to count the number of good subsequences in a string by applying dynamic programming techniques. Understand character frequency calculations, binomial coefficients, and the use of factorials with modular inverses to optimize computations. This lesson guides you through implementing an efficient algorithm with a clear explanation of time and space complexities.

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 ...