Deep Clone N-ary Tree using Hash Map + Recursive Depth First Search Algorithm

Given a root of an N-ary tree, return a deep copy (clone) of the tree.

Each node in the n-ary tree contains a val (int) and a list (List[Node]) of its children.

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class Node {     public int val;     public List<Node> children; }

class Node {
    public int val;
    public List<Node> children;
}

Nary-Tree input serialization is represented in their level order traversal, each group of children is separated by the null value (See examples).

Follow up: Can your solution work for the graph problem?

n-ary-tree

Example 1:
Input: root = [1,null,3,2,4,null,5,6]
Output: [1,null,3,2,4,null,5,6]

Example 2:
Input: root = [1,null,2,3,4,5,null,null,6,7,null,8,null,9,10,null,null,11,null,12,null,13,null,null,14]
Output: [1,null,2,3,4,5,null,null,6,7,null,8,null,9,10,null,null,11,null,12,null,13,null,null,14]

Constraints:
The depth of the n-ary tree is less than or equal to 1000.
The total number of nodes is between [0, 10^4].

Hints:
Traverse the tree, keep a hashtable with you and create a clone node for each node in the tree.
Start traversing the original tree again and connect each child pointer in the cloned tree the same way as the original tree with the help of the hashtable.

How to Deep Clone a N-ary Tree using Recursive Depth First Search Algorithm?

A tree ensures that there is no cycles. A node can only have at most 1 paraent. Thus we can just use recursion to clone each children node of the tree using Depth First Search Algorithm.

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/*
// Definition for a Node.
class Node {
public:
    int val;
    vector<Node*> children;
 
    Node() {}
 
    Node(int _val) {
        val = _val;
    }
 
    Node(int _val, vector<Node*> _children) {
        val = _val;
        children = _children;
    }
};
*/
 
class Solution {
public:
    Node* cloneTree(Node* root) {
        if (!root) return nullptr;
        Node* newRoot = new Node(root->val);
        for (const auto &n: root->children) {
            newRoot->children.push_back(cloneTree(n));
        }
        return newRoot;
    }
};

/*
// Definition for a Node.
class Node {
public:
    int val;
    vector<Node*> children;

    Node() {}

    Node(int _val) {
        val = _val;
    }

    Node(int _val, vector<Node*> _children) {
        val = _val;
        children = _children;
    }
};
*/

class Solution {
public:
    Node* cloneTree(Node* root) {
        if (!root) return nullptr;
        Node* newRoot = new Node(root->val);
        for (const auto &n: root->children) {
            newRoot->children.push_back(cloneTree(n));
        }
        return newRoot;
    }
};

Deep Clone a Tree or a Graph using HashMap

If this is a graph – then the above solution might not work. That is because when there are cycles the recursion will not terminate – causing a stack overflow. One way of solving this is to use a hash map to remember the nodes that we already cloned – and return the cloned nodes immediately.

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/*
// Definition for a Node.
class Node {
public:
    int val;
    vector<Node*> children;
 
    Node() {}
 
    Node(int _val) {
        val = _val;
    }
 
    Node(int _val, vector<Node*> _children) {
        val = _val;
        children = _children;
    }
};
*/
 
class Solution {
public:
    Node* cloneTree(Node* root) {
        if (!root) return nullptr;
        if (memo.find(root) != memo.end()) return memo[root];
        Node* newRoot = new Node(root->val);
        memo[root] = newRoot;
        for (const auto &n: root->children) {            
            newRoot->children.push_back(cloneTree(n));
        }
        return newRoot;
    }
private:
    unordered_map<Node*, Node*> memo;
};

/*
// Definition for a Node.
class Node {
public:
    int val;
    vector<Node*> children;

    Node() {}

    Node(int _val) {
        val = _val;
    }

    Node(int _val, vector<Node*> _children) {
        val = _val;
        children = _children;
    }
};
*/

class Solution {
public:
    Node* cloneTree(Node* root) {
        if (!root) return nullptr;
        if (memo.find(root) != memo.end()) return memo[root];
        Node* newRoot = new Node(root->val);
        memo[root] = newRoot;
        for (const auto &n: root->children) {            
            newRoot->children.push_back(cloneTree(n));
        }
        return newRoot;
    }
private:
    unordered_map<Node*, Node*> memo;
};

Similar to Clone (Deep Copy) Binary Tree With Random Pointer using Hash Map and Recursion, we have to put the new node immediately in the hash map before its children nodes are fully recursively cloned.

See also: GoLang: Recursive Algorithm to Clone N-ary Tree

–EOF (The Ultimate Computing & Technology Blog) —