Permutation in String
Given two strings s1 and s2, return true if s2 contains a permutation of s1 as a substring. In other words, does any window of length len(s1) in s2 have exactly the same character counts as s1?
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Problem
Given two strings s1 and s2, return true if s2 contains a permutation of s1, or false otherwise.
Input
Two strings `s1` and `s2`.
Output
A boolean: `true` if s2 contains a permutation of s1 as a contiguous substring, `false` otherwise.
Examples
Input: s1 = "ab", s2 = "eidbaooo"
Output: true
s2 contains "ba" at index 3, which is a permutation of s1.
Input: s1 = "ab", s2 = "eidboaoo"
Output: false
No window of length 2 in s2 has exactly one 'a' and one 'b' adjacent.
The brute-force approach
For every substring of s2 with the same length as s1, sort both strings and compare. If any sorted window matches the sorted s1, return true.
target = sorted(s1)
for i in range(len(s2) - len(s1) + 1):
window = s2[i:i + len(s1)]
if sorted(window) == target: # sort every window
return True
return FalseSorting each window takes O(k log k) where k is the length of s1. With n windows total, that's O(n * k log k). You can compare two windows using frequency counts in O(k), and when you slide the window by one, you only need to update two characters, making each slide O(1).
Spotting the pattern
This is a Sliding Window problem. The key question to ask yourself:
How do I check if a chunk of s2 is a rearrangement of s1 without testing every possible ordering?
Answering that is where it clicks, and it's exactly what the guided walkthrough below builds with you: the pattern reasoning, a progressive hint ladder that never spoils the answer, a row-by-row dry run, the optimized solution, and an in-browser editor to run your code against real test cases.
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