logseq_notes/pages/OJ notes/pages/Leetcode Reverse-Linked-List.md

Leetcode Reverse-Linked-List

2022-06-15 22:07

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Algorithms:

#algorithm #recursion #iteration

Data structures:

#DS #linked_list

Difficulty:

#leetcode #coding_problems #difficulty_medium

Lists:

#CS_list_need_understanding #CS_list_need_practicing

Revisions:

2022-07-02 2022-09-20

Related topics:

Links:

• Link to problem

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Problem

Given the head of a singly linked list, reverse the list, and return the reversed list.

Examples

Example 1:

**Input:** head = [1,2,3,4,5]
**Output:** [5,4,3,2,1]

Example 2:

**Input:** head = [1,2]
**Output:** [2,1]

Example 3:

**Input:** head = []
**Output:** []

Constraints

• The number of nodes in the list is the range [0, 5000].
• -5000 <= Node.val <= 5000

Thoughts

Many ways to implement this. from slow but easy ones, to fast but hard ones:

Easy way:

I thought a slow O(n ^ 2) hybrid solution, while there are better algorithms, using in-place insert, or recursion.

Fast way:

Recursion

The in place insert is easier to understand, and simple to implement, using a very clever trick.

[!summary] My thoughts on the recursion algorithm

How was that implemented?

The recursion algorithm takes the advantage of the fact that when you change the node's next properties or nodes after that, the node before still points to the same node, so when every node after tmp is reversed, simply move tmp after tmp->next, which now points to the tail of reversed list

Why return the last element of the original list?

It returns the last element in the original list to make sure you are always returning the head of the reversed array, since for any reversed list, the last one comes first. The only recursive part is returning the tail node.

Iteration

The iteration method use two pointers:

• one that points to the new head, as an anchor

• The other one points to nodes we need to iterate over:

  The iterator has to be pointing to head, and use cur->next instead of directly using cur, otherwise will lead to strange loops or bugs.

  The pointer moves by cur->next = cur->next->next, it represents the head element.

Solution

I've referred to this guy: https://leetcode.com/problems/reverse-linked-list/discuss/58130/C%2B%2B-Iterative-and-Recursive

Insertion, iteration

class Solution {
public:
ListNode *reverseList(ListNode *head) {
  ListNode *pre = new ListNode(0), *cur = head;
  // pre is before head, and insert any element after pre.
  pre->next = head;
  while (cur && cur->next) {
    // temp points to head
    ListNode *temp = pre->next;
    // Move cur->next after pre.
    pre->next = cur->next;
    // Fix pointers, because cur->next is unchanged when changing position.
	// This part is important, must use cur->next.
    cur->next = cur->next->next;
    pre->next->next = temp;
  }
  return pre->next;
}
};

Recursion:

2022-09-20 version

class Solution {
public:
ListNode *reverseList(ListNode *head) {
  // Recursion

  // Base case: no need to reverse:
  if (head == nullptr || head->next == nullptr) {
    return head;
  }

  // assuming we have the head of reversed sub-list
  // head->next still points to next one in the unchanged order,
  // or the tail of the reversed list
  auto newHead = reverseList(head->next);

  head->next->next = head;
  head->next = nullptr;

  return newHead;
}
};

class Solution {
public:
ListNode *reverseList(ListNode *head) {
  // Recursion
  if (head == nullptr || head->next == nullptr) {
    // base case: return the tail
    return head;
  }

  // have to call itself before modifying, since head->next will point to
  // nullptr
  ListNode *newHead = reverseList(head->next);

  head->next->next = head;
  head->next = nullptr;

  return newHead;
}
};