By Fatskills Exam Guides Team — the exam nerds behind 28,500+ quizzes and 2.1M practice questions across 500+ global exams.
"This problem appears in 1 out of every 5 string-manipulation interviews—mastering it proves you can handle edge cases, optimize for time/space, and write clean, bug-free code under pressure."
Before tackling "Valid Palindrome," ensure you understand: 1. Two-pointer technique – Efficiently traverse strings/arrays from both ends. 2. ASCII character manipulation – Check if a character is alphanumeric (letters/digits). 3. String preprocessing – Convert to lowercase and filter non-alphanumeric characters.
left=0, right=len(s)-1; while left < right: compare s[left] and s[right]
s = [c.lower() for c in s if c.isalnum()]
if s[left] != s[right]: return False
if not s: return True
if (ord('a') <= ord(c) <= ord('z')) or (ord('0') <= ord(c) <= ord('9'))
Follow these steps every time you solve a "Valid Palindrome" problem:
Example: "A man, a plan, a canal: Panama" → True (case-insensitive, ignore non-alphanumeric).
"A man, a plan, a canal: Panama"
True
Preprocess the string
Remove all non-alphanumeric characters (use isalnum() or ASCII checks).
isalnum()
Initialize two pointers
left = 0, right = len(s) - 1.
left = 0
right = len(s) - 1
Compare characters
While left < right:
left < right
s[left] != s[right]
False
left
right
Return True if loop completes
If all comparisons pass, the string is a palindrome.
Optimize for edge cases
All non-alphanumeric → True (after preprocessing).
Test with examples
"racecar"
"race a car"
" "
Problem: Given a string s, return True if it is a palindrome (case-insensitive, ignore non-alphanumeric).
s
Solution:
def isPalindrome(s: str) -> bool: # Step 1: Preprocess (lowercase + filter non-alphanumeric) s = [c.lower() for c in s if c.isalnum()] s = ''.join(s) # Step 2: Two-pointer comparison left, right = 0, len(s) - 1 while left < right: if s[left] != s[right]: return False left += 1 right -= 1 return True
Time Complexity: O(n) (two passes: preprocessing + two-pointer). Space Complexity: O(n) (new string for filtered characters).
O(n)
Why this works: - Preprocessing ensures we only compare relevant characters. - Two-pointer efficiently checks symmetry in O(n/2) time.
O(n/2)
Problem: Solve the same problem without using extra space (modify the string in-place).
def isPalindrome(s: str) -> bool: left, right = 0, len(s) - 1 while left < right: # Skip non-alphanumeric from left while left < right and not s[left].isalnum(): left += 1 # Skip non-alphanumeric from right while left < right and not s[right].isalnum(): right -= 1 # Compare (case-insensitive) if s[left].lower() != s[right].lower(): return False left += 1 right -= 1 return True
Time Complexity: O(n) (single pass with skips). Space Complexity: O(1) (no extra space).
O(1)
Why this works: - Two-pointer skips non-alphanumeric characters on the fly, avoiding preprocessing. - Case-insensitive comparison is done during traversal.
Problem: Given a string s, return True if it can be a palindrome by removing at most one character.
def validPalindrome(s: str) -> bool: def is_palindrome(s, left, right): while left < right: if s[left] != s[right]: return False left += 1 right -= 1 return True left, right = 0, len(s) - 1 while left < right: if s[left] != s[right]: # Try skipping left or right character return is_palindrome(s, left + 1, right) or is_palindrome(s, left, right - 1) left += 1 right -= 1 return True
Time Complexity: O(n) (worst case: two passes). Space Complexity: O(1) (no extra space).
Why this works: - If a mismatch is found, check both possibilities (skip left or right character). - Recursively verify if the remaining substring is a palindrome.
'A'
'a'
c.lower()
right = len(s)
len(s) - 1
left += 1
right -= 1
s = ""
"Alright, let’s lock this in. For Valid Palindrome: 1. Preprocess first – lowercase and filter non-alphanumeric. If space is tight, skip during traversal. 2. Two-pointer – start at both ends, compare, and move inward. 3. Edge cases – empty string, single character, all spaces. 4. Follow-ups – if they ask for one deletion, use a helper function to check both skip-left and skip-right. 5. Optimize – always ask if you can avoid extra space.
You’ve got this. Now go write that clean, bug-free code!
This framework ensures you never panic when "Valid Palindrome" appears in an interview. Good luck! ?
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