Valid Palindrome
A phrase is a palindrome if, after removing everything that isn't a letter or digit and ignoring case, it reads the same forward and backward. Given a string, return whether it's a palindrome.
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Problem
A phrase is a palindrome if, after converting all uppercase letters into lowercase letters and removing all non-alphanumeric characters, it reads the same forward and backward. Given a string s, return true if it is a palindrome, or false otherwise.
Input
A string `s` that may contain letters, digits, spaces, and punctuation.
Output
A boolean. `true` if the cleaned string is the same forwards and backwards, `false` otherwise.
Examples
Input: s = "A man, a plan, a canal: Panama"
Output: true
After stripping non-alphanumeric chars and lowercasing: "amanaplanacanalpanama", a palindrome.
Input: s = "race a car"
Output: false
Cleaned: "raceacar", not the same forwards and backwards.
Input: s = " "
Output: true
Empty after cleaning, an empty string is a palindrome.
The brute-force approach
Filter the string down to only alphanumeric characters and lowercase everything. Then reverse that cleaned string and check if it equals the original cleaned string.
cleaned = [c.lower() for c in s if c.isalnum()]
# cleaned is e.g. ['a','m','a','n',...]
return cleaned == cleaned[::-1] # ← reverse and compareThis approach is O(n) time and O(n) space because you're building the full cleaned list in memory, then building a second reversed copy to compare. It works, but you can do the check without allocating that extra space.
Spotting the pattern
This is a Two Pointers problem. The key question to ask yourself:
Can I check this from both ends at once, skipping non-alphanumeric characters as I go?
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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