How to Solve Subsequence With the Minimum Score Problem
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Subsequence With the Minimum Score
You are given two strings s and t. You are allowed to remove any number of characters from the string t. The score of the string is 0 if no characters are removed from the string t, otherwise: Let lef...
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Understanding the Subsequence With the Minimum Score Problem
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Problem Statement
You are given two strings s and t. You are allowed to remove any number of characters from the string t. The score of the string is 0 if no characters are removed from the string t, otherwise: Let left be the minimum index among all removed characters. Let right be the maximum index among all removed characters. Then the score of the string is right - left + 1. Return the minimum possible score to make t a subsequence of s. A subsequence of a string is a new string that is formed from the original string by deleting some (can be none) of the characters without disturbing the relative positions of the remaining characters. (i.e., "ace" is a subsequence of "abcde" while "aec" is not).
Subsequence With the Minimum Score
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Examples
s = "abacaba", t = "bzaa"
1
In this example, we remove the character "z" at index 1 (0-indexed). The string t becomes "baa" which is a subsequence of the string "abacaba" and the score is 1 - 1 + 1 = 1. It can be proven that 1 is the minimum score that we can achieve.
s = "cde", t = "xyz"
3
In this example, we remove characters "x", "y" and "z" at indices 0, 1, and 2 (0-indexed). The string t becomes "" which is a subsequence of the string "cde" and the score is 2 - 0 + 1 = 3. It can be proven that 3 is the minimum score that we can achieve.
Constraints
1 <= s.length, t.length <= 105
s and t consist of only lowercase English letters.
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