Question: You are given a string S of length n . Each character is from an alphabet Sigma of size k . Devise an algorithm

You are given a string S of length n. Each character is from an alphabet \Sigma of size k. Devise an algorithm that counts the number of distinct subsequences in S. Give a correctness proof and analyze the runtime.
Hint: The running time should be a function with both n and k as parameters.
Hint 2: There exists a polynomial time algorithm.

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