How to Explain Valid Palindrome in a Coding Interview (Step-by-Step)
Valid Palindrome looks trivial — until the interviewer asks you to handle spaces, punctuation, and mixed case in one clean pass. The two-pointer approach with in-place filtering is what separates a polished answer from a naïve reverse-and-compare.
In this post, you’ll learn how to walk an interviewer through LeetCode 125 with confidence: the cleaning step, the two-pointer technique, the alphanumeric check, and a tight complexity argument.
Problem Statement
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.
Alphanumeric characters include letters and numbers. Given a string s, return true if it is a palindrome, or false otherwise.
Examples
Output: true
Explanation: “amanaplanacanalpanama” is a palindrome.
Output: false
Explanation: “raceacar” is not a palindrome.
Output: true
Explanation: After removing non-alphanumeric characters, the string is empty — an empty string is a palindrome.
Constraints
1 <= s.length <= 2 * 105sconsists only of printable ASCII characters
What Is the Problem?
“I’m given a string that may contain spaces, punctuation, and mixed case. I need to strip everything except letters and digits, lowercase whatever remains, and then check if the result reads the same forwards and backwards. An empty string after cleaning counts as a palindrome.”
Restating the cleaning rules clearly — alphanumeric only, case-insensitive — tells the interviewer you’ve understood the full scope of the problem before touching the keyboard.
Step 1: Compare Approaches Before Jumping to Code
“The clean-and-reverse approach works and is fine if the interviewer is happy with O(n) space. But with two pointers we can do the filtering and the comparison in a single pass without allocating any new strings, bringing space down to O(1).”
The Key Insight — Skip, Don’t Strip
Instead of building a cleaned string first, keep two pointers — left at the start and right at the end. Advance each pointer past any non-alphanumeric character, then compare the characters they land on (lowercased). If they ever mismatch, return false. If the pointers cross, every character matched — return true.
“The insight is that I don’t need to materialise a cleaned version of the string. I can treat the two-pointer comparison and the filtering as the same step. Each character is visited at most once by either pointer, so the whole thing is O(n) time and O(1) space.”
Step 2: Explain the Algorithm in Plain English
Set left = 0 and right = len(s) - 1. They will march toward each other.
While left < right: advance left rightward if s[left] is not alphanumeric; advance right leftward if s[right] is not alphanumeric. This skips spaces, punctuation, and symbols without any extra memory.
Once both pointers are on alphanumeric characters, compare s[left].lower() and s[right].lower(). If they differ, return false immediately.
After a successful match, do left += 1 and right -= 1, then repeat. If the pointers meet or cross without a mismatch, return true.
Two-Pointer Visualised — “A man, a plan, a canal: Panama”
After cleaning, the effective string is amanaplanacanalpanama. Here’s how the pointers move through the original string, skipping non-alphanumeric characters on the fly.
Step 3: Talk Through the Code
class Solution:
def isPalindrome(self, s: str) -> bool:
left, right = 0, len(s) - 1
while left < right:
# Advance left past any non-alphanumeric character
while left < right and not s[left].isalnum():
left += 1
# Advance right past any non-alphanumeric character
while left < right and not s[right].isalnum():
right -= 1
# Both pointers are now on alphanumeric characters
if s[left].lower() != s[right].lower():
return False # Mismatch — not a palindrome
left += 1
right -= 1
return True # All characters matched — valid palindrome
Point out the use of Python's built-in .isalnum() — it returns True for both letters and digits, which is exactly the definition given in the problem. Using .lower() at comparison time (rather than pre-processing) keeps the space usage at O(1).
Step 4: Highlight Edge Cases
"If the input is' 'or'!!', both pointers skip every character, the while conditionleft < rightbecomes false immediately, and we returntrue. An empty effective string is defined as a palindrome."
"A single character — even buried in punctuation like'!a!'— is always a palindrome. After skipping, both pointers land on the same character;leftnever becomes less thanright, so we returntruewithout any comparison."
"'A'and'a'must be treated as equal. Calling.lower()on both sides of the comparison handles this without any preprocessing pass over the string."
"Digits count as alphanumeric. So'0P0'is a palindrome —isalnum()returnsTruefor digits, and'0'.lower() == '0'is always true. No special handling needed."
"'aaaa'or'a, a'— every comparison matches. The pointers converge without a mismatch and we returntrue."
Step 5: State Time and Space Complexity
| Dimension | Complexity | Reason |
|---|---|---|
| Time | O(n) | Each character is visited at most once by either the left or the right pointer |
| Space | O(1) | Only two integer pointers — no new strings or arrays allocated |
"Time is O(n) because across the entire run, the left pointer only ever moves right and the right pointer only ever moves left — each character is touched at most once. Space is O(1) because we compare in-place using two indices. The clean-and-reverse approach is also O(n) time but O(n) space — the two-pointer approach is strictly better on memory."
Interview Checklist for Valid Palindrome
- Restate — "alphanumeric characters only, case-insensitive, check if it reads the same forwards and backwards"
- Clarify that digits are alphanumeric — confirm with the interviewer if unsure
- Mention the naïve clean-and-reverse approach first, then explain why two pointers is better
- State the key insight — skip non-alphanumeric characters in-place rather than stripping them first
- Use
.isalnum()— covers both letters and digits cleanly - Use
.lower()at comparison time, not as a preprocessing step - Guard both inner while loops with
left < rightto prevent pointer crossing - Call out: empty effective string →
true - Call out: single character → always
true - State O(n) time and O(1) space — and contrast with the O(n) space alternative
Related Problems to Practice
If you can solve Valid Palindrome cleanly, try these next:
