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86. Partition List

Description

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

Solutions

Solution 1: Simulation

We create two linked lists, one to store nodes less than $x$, and the other to store nodes greater than or equal to $x$. Then we concatenate them.

The time complexity is $O(n)$, where $n$ is the length of the original linked list. The space complexity is $O(1)$.

  • /**
     * Definition for singly-linked list.
     * public class ListNode {
     *     int val;
     *     ListNode next;
     *     ListNode() {}
     *     ListNode(int val) { this.val = val; }
     *     ListNode(int val, ListNode next) { this.val = val; this.next = next; }
     * }
     */
    class Solution {
        public ListNode partition(ListNode head, int x) {
            ListNode d1 = new ListNode();
            ListNode d2 = new ListNode();
            ListNode t1 = d1, t2 = d2;
            while (head != null) {
                if (head.val < x) {
                    t1.next = head;
                    t1 = t1.next;
                } else {
                    t2.next = head;
                    t2 = t2.next;
                }
                head = head.next;
            }
            t1.next = d2.next;
            t2.next = null;
            return d1.next;
        }
    }
    
  • /**
     * 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) {
            ListNode* d1 = new ListNode();
            ListNode* d2 = new ListNode();
            ListNode* t1 = d1;
            ListNode* t2 = d2;
            while (head) {
                if (head->val < x) {
                    t1->next = head;
                    t1 = t1->next;
                } else {
                    t2->next = head;
                    t2 = t2->next;
                }
                head = head->next;
            }
            t1->next = d2->next;
            t2->next = nullptr;
            return d1->next;
        }
    };
    
  • # Definition for singly-linked list.
    # class ListNode:
    #     def __init__(self, val=0, next=None):
    #         self.val = val
    #         self.next = next
    class Solution:
        def partition(self, head: Optional[ListNode], x: int) -> Optional[ListNode]:
            d1, d2 = ListNode(), ListNode()
            t1, t2 = d1, d2
            while head:
                if head.val < x:
                    t1.next = head
                    t1 = t1.next
                else:
                    t2.next = head
                    t2 = t2.next
                head = head.next
            t1.next = d2.next
            t2.next = None
            return d1.next
    
    
  • /**
     * Definition for singly-linked list.
     * type ListNode struct {
     *     Val int
     *     Next *ListNode
     * }
     */
    func partition(head *ListNode, x int) *ListNode {
    	d1, d2 := &ListNode{}, &ListNode{}
    	t1, t2 := d1, d2
    	for head != nil {
    		if head.Val < x {
    			t1.Next = head
    			t1 = t1.Next
    		} else {
    			t2.Next = head
    			t2 = t2.Next
    		}
    		head = head.Next
    	}
    	t1.Next = d2.Next
    	t2.Next = nil
    	return d1.Next
    }
    
  • /**
     * Definition for singly-linked list.
     * function ListNode(val, next) {
     *     this.val = (val===undefined ? 0 : val)
     *     this.next = (next===undefined ? null : next)
     * }
     */
    /**
     * @param {ListNode} head
     * @param {number} x
     * @return {ListNode}
     */
    var partition = function (head, x) {
        const d1 = new ListNode();
        const d2 = new ListNode();
        let t1 = d1,
            t2 = d2;
        while (head) {
            if (head.val < x) {
                t1.next = head;
                t1 = t1.next;
            } else {
                t2.next = head;
                t2 = t2.next;
            }
            head = head.next;
        }
        t1.next = d2.next;
        t2.next = null;
        return d1.next;
    };
    
    
  • // Definition for singly-linked list.
    // #[derive(PartialEq, Eq, Clone, Debug)]
    // pub struct ListNode {
    //   pub val: i32,
    //   pub next: Option<Box<ListNode>>
    // }
    //
    // impl ListNode {
    //   #[inline]
    //   fn new(val: i32) -> Self {
    //     ListNode {
    //       next: None,
    //       val
    //     }
    //   }
    // }
    impl Solution {
        pub fn partition(head: Option<Box<ListNode>>, x: i32) -> Option<Box<ListNode>> {
            let mut head = head;
            let mut d1 = Some(Box::new(ListNode::new(0)));
            let mut d2 = Some(Box::new(ListNode::new(0)));
            let (mut t1, mut t2) = (&mut d1, &mut d2);
            while let Some(mut node) = head {
                head = node.next.take();
                if node.val < x {
                    t1.as_mut().unwrap().next = Some(node);
                    t1 = &mut t1.as_mut().unwrap().next;
                } else {
                    t2.as_mut().unwrap().next = Some(node);
                    t2 = &mut t2.as_mut().unwrap().next;
                }
            }
            t1.as_mut().unwrap().next = d2.unwrap().next;
            d1.unwrap().next
        }
    }
    
    

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