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subsequence_dp.md

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Substring and Subsequence Problem

Type of problem:

In problems where two strings are given and some tasks based on the subsequence/substring of the two strings. Tasks can be to check existence or no of such occurrence etc.

General Idea: Can be solved with O(N^2) DP. How?

Maintain a array dp[i][j] corresponding to s[0…i] & t[0…j].

If the problem involves substring, then dp[i][j] denote answer when substring ends at i. Why? To maintain continuity of the characters.

If the problem involves subsequence, then dp[i][j] denote answer when subsequence is bounded by s[0…i].

Problems to Practice: