#234

Palindrome Linked List

Easy
Linked ListTwo PointersStackRecursionTwo PointersLinked List
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Approaches

Brute ForceOptimal
Complexity Comparison
Brute ForceOptimal Solution
Time
O(n²)
O(n)
Space
O(n)
O(1)
💡

Intuition

Time O(n)Space O(1)

To check if a linked list is a palindrome efficiently, we can use the two-pointer technique to find the middle of the list and then reverse the second half to compare it with the first half.

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Algorithm

4 steps
  1. 1Step 1: Use two pointers to find the middle of the linked list.
  2. 2Step 2: Reverse the second half of the linked list.
  3. 3Step 3: Compare the first half and the reversed second half node by node.
  4. 4Step 4: Restore the original list (optional) and return the result.
solution.py18 lines
1def isPalindrome(head):
2    slow = fast = head
3    while fast and fast.next:
4        slow = slow.next
5        fast = fast.next.next
6    prev = None
7    while slow:
8        next_node = slow.next
9        slow.next = prev
10        prev = slow
11        slow = next_node
12    left, right = head, prev
13    while right:
14        if left.val != right.val:
15            return False
16        left = left.next
17        right = right.next
18    return True

Complexity note: The time complexity is O(n) because we traverse the list a constant number of times. The space complexity is O(1) since we only use a few pointers for traversal and comparison.

  • 1Using two pointers helps find the middle efficiently.
  • 2Reversing the second half allows direct comparison.

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