1 Description #
source: https://leetcode.com/problems/partition-list/
Given the head of a linked list and a value x, partition it such that all nodes less than x come before nodes greater than or equal to x.
You should preserve the original relative order of the nodes in each of the two partitions.
Example 1:

Input: head = [1,4,3,2,5,2], x = 3
Output: [1,2,2,4,3,5]
Example 2:
Input: head = [2,1], x = 2
Output: [1,2]
Constraints:
- The number of nodes in the list is in the range 
[0, 200]. -100 <= Node.val <= 100-200 <= x <= 200
2 Solution #

/**
 * Definition for singly-linked list.
 * struct ListNode {
 *     int val;
 *     ListNode *next;
 *     ListNode() : val(0), next(nullptr) {}
 *     ListNode(int x) : val(x), next(nullptr) {}
 *     ListNode(int x, ListNode *next) : val(x), next(next) {}
 * };
 */
class Solution {
public:
  ListNode *partition(ListNode *head, int x) {
    // Time complexity: O(N), N is the size of linked_list
    // Space complexity: O(1)
    if (!head) {
      return head;
    }
    ListNode *first_less_x = nullptr;
    ListNode *last_less_x = nullptr;
    ListNode *last_greater_x = nullptr;
    ListNode *first_greater_x = nullptr;
    while (head) {
      if (head->val < x) {
	first_less_x = (first_less_x == nullptr ? head : first_less_x);
	if (!last_less_x) {
	  last_less_x = head;
	} else {
	  last_less_x->next = head;
	  last_less_x = last_less_x->next;
	}
      } else {
	first_greater_x = (first_greater_x == nullptr ? head : first_greater_x);
	if (!last_greater_x) {
	  last_greater_x = head;
	} else {
	  last_greater_x->next = head;
	  last_greater_x = last_greater_x->next;
	}
      }
      head = head->next;
    }
    if (last_greater_x) {
      last_greater_x->next = nullptr;
    }
    if (last_less_x) {
      last_less_x->next = first_greater_x;
    }
    return first_less_x != nullptr ? first_less_x : first_greater_x;
  }
};