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Leetcode #567: Permutation in String

In this guide, we solve Leetcode #567 Permutation in String in Python and focus on the core idea that makes the solution efficient.

You will see the intuition, the step-by-step method, and a clean Python implementation you can use in interviews.

Leetcode

Problem Statement

Given two strings s1 and s2, return true if s2 contains a permutation of s1, or false otherwise. In other words, return true if one of s1's permutations is the substring of s2.

Quick Facts

  • Difficulty: Medium
  • Premium: No
  • Tags: Hash Table, Two Pointers, String, Sliding Window

Intuition

Fast membership checks and value lookups are the heart of this problem, which makes a hash map the natural choice.

By storing what we have already seen (or counts/indexes), we can answer the question in one pass without backtracking.

Approach

Scan the input once, using the map to detect when the condition is satisfied and to update state as you go.

This keeps the solution linear while remaining easy to explain in an interview setting.

Steps:

  • Initialize a hash map for seen items or counts.
  • Iterate through the input, querying/updating the map.
  • Return the first valid result or the final computed value.

Example

Input: s1 = "ab", s2 = "eidbaooo" Output: true Explanation: s2 contains one permutation of s1 ("ba").

Python Solution

class Solution: def checkInclusion(self, s1: str, s2: str) -> bool: cnt = Counter(s1) need = len(cnt) m = len(s1) for i, c in enumerate(s2): cnt[c] -= 1 if cnt[c] == 0: need -= 1 if i >= m: cnt[s2[i - m]] += 1 if cnt[s2[i - m]] == 1: need += 1 if need == 0: return True return False

Complexity

The time complexity is O(m+n)O(m + n)O(m+n), where mmm and nnn are the lengths of strings s1\textit{s1}s1 and s2\textit{s2}s2, respectively. The space complexity is O(∣Σ∣)O(|\Sigma|)O(∣Σ∣), where Σ\SigmaΣ is the character set.

Edge Cases and Pitfalls

Watch for boundary values, empty inputs, and duplicate values where applicable. If the problem involves ordering or constraints, confirm the invariant is preserved at every step.

Summary

This Python solution focuses on the essential structure of the problem and keeps the implementation interview-friendly while meeting the constraints.


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