Maximum Number of Removable Characters — LeetCode 1898 Python Solution

MediumArrayTwo PointersStringBinary Search
Problem
#1898
Reading time
4 min

The problem

You are given two strings s and p where p is a subsequence of s. You are also given a distinct 0-indexed integer array removable containing a subset of indices of s (s is also 0-indexed).

Example

Input
s = "abcacb", p = "ab", removable = [3,1,0]
Output
2
Explanation
After removing the characters at indices 3 and 1, "abcacb" becomes "accb".

Python solution

Python
class Solution:
    def maximumRemovals(self, s: str, p: str, removable: List[int]) -> int:
        def check(k: int) -> bool:
            rem = [False] * len(s)
            for i in removable[:k]:
                rem[i] = True
            i = j = 0
            while i < len(s) and j < len(p):
                if not rem[i] and p[j] == s[i]:
                    j += 1
                i += 1
            return j == len(p)

        l, r = 0, len(removable)
        while l < r:
            mid = (l + r + 1) >> 1
            if check(mid):
                l = mid
            else:
                r = mid - 1
        return l

Complexity

MeasureComplexity
TimeO(k \times \log k)
SpaceO(n) auxiliary

Pattern: Two Pointers

Use the order already in the input to discard half the search space at every step. LeetCode 1898. Maximum Number of Removable Characters is filed here on both counts: the reference solution below belongs to the algorithm family this hub collects, and LeetCode tags it Two Pointers.

The two pointers guide has the Python template for the pattern and the 201 LeetCode problems that use it.

Related problems

Frequently asked questions

How hard is LeetCode 1898. Maximum Number of Removable Characters?
LeetCode 1898. Maximum Number of Removable Characters is rated Medium on LeetCode.
What is the time complexity of LeetCode 1898. Maximum Number of Removable Characters?
The Python solution on this page runs in O(k \times \log k).
What is the space complexity of LeetCode 1898. Maximum Number of Removable Characters?
The Python solution on this page uses O(n) auxiliary space.
What topics does LeetCode 1898. Maximum Number of Removable Characters cover?
LeetCode 1898. Maximum Number of Removable Characters is tagged Array, Two Pointers, String and Binary Search on LeetCode.

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