138. Copy List with Random Pointer

Description

A linked list of length n is given such that each node contains an additional random pointer, which could point to any node in the list, or null.

Construct a deep copy of the list. The deep copy should consist of exactly n brand new nodes, where each new node has its value set to the value of its corresponding original node. Both the next and random pointer of the new nodes should point to new nodes in the copied list such that the pointers in the original list and copied list represent the same list state. None of the pointers in the new list should point to nodes in the original list.

For example, if there are two nodes X and Y in the original list, where X.random --> Y, then for the corresponding two nodes x and y in the copied list, x.random --> y.

Return the head of the copied linked list.

The linked list is represented in the input/output as a list of n nodes. Each node is represented as a pair of [val, random_index] where:

  • val: an integer representing Node.val
  • random_index: the index of the node (range from 0 to n-1) that the random pointer points to, or null if it does not point to any node.

Your code will only be given the head of the original linked list.

 

Example 1:

Input: head = [[7,null],[13,0],[11,4],[10,2],[1,0]]
Output: [[7,null],[13,0],[11,4],[10,2],[1,0]]

Example 2:

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

Example 3:

Input: head = [[3,null],[3,0],[3,null]]
Output: [[3,null],[3,0],[3,null]]

 

Constraints:

  • 0 <= n <= 1000
  • -104 <= Node.val <= 104
  • Node.random is null or is pointing to some node in the linked list.

Solutions

Solution 1

Python Code
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"""
# Definition for a Node.
class Node:
    def __init__(self, x: int, next: 'Node' = None, random: 'Node' = None):
        self.val = int(x)
        self.next = next
        self.random = random
"""


class Solution:
    def copyRandomList(self, head: "Node") -> "Node":
        d = {}
        dummy = tail = Node(0)
        cur = head
        while cur:
            tail.next = Node(cur.val)
            tail = tail.next
            d[cur] = tail
            cur = cur.next
        tail = dummy.next
        cur = head
        while cur:
            tail.random = d.get(cur.random)
            tail = tail.next
            cur = cur.next
        return dummy.next

Java Code
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/*
// Definition for a Node.
class Node {
    int val;
    Node next;
    Node random;

    public Node(int val) {
        this.val = val;
        this.next = null;
        this.random = null;
    }
}
*/
class Solution {
    public Node copyRandomList(Node head) {
        Map<Node, Node> d = new HashMap<>();
        Node dummy = new Node(0);
        Node tail = dummy;
        for (Node cur = head; cur != null; cur = cur.next) {
            tail.next = new Node(cur.val);
            tail = tail.next;
            d.put(cur, tail);
        }
        tail = dummy.next;
        for (Node cur = head; cur != null; cur = cur.next) {
            tail.random = d.get(cur.random);
            tail = tail.next;
        }
        return dummy.next;
    }
}

C++ Code
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/*
// Definition for a Node.
class Node {
public:
    int val;
    Node* next;
    Node* random;

    Node(int _val) {
        val = _val;
        next = NULL;
        random = NULL;
    }
};
*/
class Solution {
public:
    Node* copyRandomList(Node* head) {
        unordered_map<Node*, Node*> d;
        Node* dummy = new Node(0);
        Node* tail = dummy;
        for (auto cur = head; cur; cur = cur->next) {
            tail->next = new Node(cur->val);
            tail = tail->next;
            d[cur] = tail;
        }
        tail = dummy->next;
        for (auto cur = head; cur; cur = cur->next) {
            tail->random = d[cur->random];
            tail = tail->next;
        }
        return dummy->next;
    }
};

Go Code
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/**
 * Definition for a Node.
 * type Node struct {
 *     Val int
 *     Next *Node
 *     Random *Node
 * }
 */

func copyRandomList(head *Node) *Node {
	d := map[*Node]*Node{}
	dummy := &Node{}
	tail := dummy
	for cur := head; cur != nil; cur = cur.Next {
		tail.Next = &Node{Val: cur.Val}
		tail = tail.Next
		d[cur] = tail
	}
	tail = dummy.Next
	for cur := head; cur != nil; cur = cur.Next {
		tail.Random = d[cur.Random]
		tail = tail.Next
	}
	return dummy.Next
}

TypeScript Code
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/**
 * Definition for Node.
 * class Node {
 *     val: number
 *     next: Node | null
 *     random: Node | null
 *     constructor(val?: number, next?: Node, random?: Node) {
 *         this.val = (val===undefined ? 0 : val)
 *         this.next = (next===undefined ? null : next)
 *         this.random = (random===undefined ? null : random)
 *     }
 * }
 */

function copyRandomList(head: Node | null): Node | null {
    const map = new Map<Node, Node>();
    let cur = head;
    while (cur != null) {
        map.set(cur, new Node(cur.val));
        cur = cur.next;
    }
    cur = head;
    while (cur != null) {
        map.get(cur).next = map.get(cur.next) ?? null;
        map.get(cur).random = map.get(cur.random) ?? null;
        cur = cur.next;
    }
    return map.get(head);
}

JavaScript Code
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/**
 * // Definition for a Node.
 * function Node(val, next, random) {
 *    this.val = val;
 *    this.next = next;
 *    this.random = random;
 * };
 */

/**
 * @param {Node} head
 * @return {Node}
 */
var copyRandomList = function (head) {
    const d = new Map();
    const dummy = new Node(0);
    let tail = dummy;
    for (let cur = head; cur; cur = cur.next) {
        tail.next = new Node(cur.val);
        tail = tail.next;
        d.set(cur, tail);
    }
    tail = dummy.next;
    for (let cur = head; cur; cur = cur.next) {
        tail.random = d.get(cur.random);
        tail = tail.next;
    }
    return dummy.next;
};

C# Code
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/*
// Definition for a Node.
public class Node {
    public int val;
    public Node next;
    public Node random;

    public Node(int _val) {
        val = _val;
        next = null;
        random = null;
    }
}
*/

public class Solution {
    public Node CopyRandomList(Node head) {
        Dictionary<Node, Node> d = new Dictionary<Node, Node>();
        Node dummy = new Node(0);
        Node tail = dummy;
        for (Node cur = head; cur != null; cur = cur.next) {
            tail.next = new Node(cur.val);
            tail = tail.next;
            d[cur] = tail;
        }
        tail = dummy.next;
        for (Node cur = head; cur != null; cur = cur.next) {
            tail.random = cur.random == null ? null : d[cur.random];
            tail = tail.next;
        }
        return dummy.next;
    }
}

Solution 2

Python Code
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"""
# Definition for a Node.
class Node:
    def __init__(self, x: int, next: 'Node' = None, random: 'Node' = None):
        self.val = int(x)
        self.next = next
        self.random = random
"""


class Solution:
    def copyRandomList(self, head: "Node") -> "Node":
        if head is None:
            return None
        cur = head
        while cur:
            node = Node(cur.val, cur.next)
            cur.next = node
            cur = node.next

        cur = head
        while cur:
            if cur.random:
                cur.next.random = cur.random.next
            cur = cur.next.next

        ans = head.next
        cur = head
        while cur:
            nxt = cur.next
            if nxt:
                cur.next = nxt.next
            cur = nxt
        return ans

Java Code
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/*
// Definition for a Node.
class Node {
    int val;
    Node next;
    Node random;

    public Node(int val) {
        this.val = val;
        this.next = null;
        this.random = null;
    }
}
*/
class Solution {
    public Node copyRandomList(Node head) {
        if (head == null) {
            return null;
        }
        for (Node cur = head; cur != null;) {
            Node node = new Node(cur.val, cur.next);
            cur.next = node;
            cur = node.next;
        }
        for (Node cur = head; cur != null; cur = cur.next.next) {
            if (cur.random != null) {
                cur.next.random = cur.random.next;
            }
        }
        Node ans = head.next;
        for (Node cur = head; cur != null;) {
            Node nxt = cur.next;
            if (nxt != null) {
                cur.next = nxt.next;
            }
            cur = nxt;
        }
        return ans;
    }
}

C++ Code
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/*
// Definition for a Node.
class Node {
public:
    int val;
    Node* next;
    Node* random;

    Node(int _val) {
        val = _val;
        next = NULL;
        random = NULL;
    }
};
*/
class Solution {
public:
    Node* copyRandomList(Node* head) {
        if (!head) {
            return nullptr;
        }
        for (Node* cur = head; cur;) {
            Node* node = new Node(cur->val);
            node->next = cur->next;
            cur->next = node;
            cur = node->next;
        }
        for (Node* cur = head; cur; cur = cur->next->next) {
            if (cur->random) {
                cur->next->random = cur->random->next;
            }
        }
        Node* ans = head->next;
        for (Node* cur = head; cur;) {
            Node* nxt = cur->next;
            if (nxt) {
                cur->next = nxt->next;
            }
            cur = nxt;
        }
        return ans;
    }
};

Go Code
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/**
 * Definition for a Node.
 * type Node struct {
 *     Val int
 *     Next *Node
 *     Random *Node
 * }
 */

func copyRandomList(head *Node) *Node {
	if head == nil {
		return nil
	}
	for cur := head; cur != nil; {
		node := &Node{cur.Val, cur.Next, nil}
		cur.Next = node
		cur = node.Next
	}
	for cur := head; cur != nil; cur = cur.Next.Next {
		if cur.Random != nil {
			cur.Next.Random = cur.Random.Next
		}
	}
	ans := head.Next
	for cur := head; cur != nil; {
		nxt := cur.Next
		if nxt != nil {
			cur.Next = nxt.Next
		}
		cur = nxt
	}
	return ans
}

JavaScript Code
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/**
 * // Definition for a Node.
 * function Node(val, next, random) {
 *    this.val = val;
 *    this.next = next;
 *    this.random = random;
 * };
 */

/**
 * @param {Node} head
 * @return {Node}
 */
var copyRandomList = function (head) {
    if (!head) {
        return null;
    }
    for (let cur = head; cur; ) {
        const node = new Node(cur.val, cur.next, null);
        cur.next = node;
        cur = node.next;
    }
    for (let cur = head; cur; cur = cur.next.next) {
        if (cur.random) {
            cur.next.random = cur.random.next;
        }
    }
    const ans = head.next;
    for (let cur = head; cur; ) {
        const nxt = cur.next;
        if (nxt) {
            cur.next = nxt.next;
        }
        cur = nxt;
    }
    return ans;
};

C# Code
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/*
// Definition for a Node.
public class Node {
    public int val;
    public Node next;
    public Node random;

    public Node(int _val) {
        val = _val;
        next = null;
        random = null;
    }
}
*/

public class Solution {
    public Node CopyRandomList(Node head) {
        if (head == null) {
            return null;
        }
        for (Node cur = head; cur != null; ) {
            Node node = new Node(cur.val, cur.next);
            cur.next = node;
            cur = node.next;
        }
        for (Node cur = head; cur != null; cur = cur.next.next) {
            if (cur.random != null) {
                cur.next.random = cur.random.next;
            }
        }
        Node ans = head.next;
        for (Node cur = head; cur != null; ) {
            Node nxt = cur.next;
            if (nxt != null) {
                cur.next = nxt.next;
            }
            cur = nxt;
        }
        return ans;
    }
}