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Valid Palindrome

Asked at:MetaMicrosoftAmazon

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 compare

This 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.

Time: O(n)Space: O(n)

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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