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429. N-ary Tree Level Order Traversal

Description

Given an n-ary tree, return the level order traversal of its nodes' values.

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

 

Example 1:

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

 

Constraints:

  • The height of the n-ary tree is less than or equal to 1000
  • The total number of nodes is between [0, 104]

Solutions

BFS or DFS.

  • /*
    // Definition for a Node.
    class Node {
        public int val;
        public List<Node> children;
    
        public Node() {}
    
        public Node(int _val) {
            val = _val;
        }
    
        public Node(int _val, List<Node> _children) {
            val = _val;
            children = _children;
        }
    };
    */
    
    class Solution {
        public List<List<Integer>> levelOrder(Node root) {
            List<List<Integer>> ans = new ArrayList<>();
            if (root == null) {
                return ans;
            }
            Deque<Node> q = new ArrayDeque<>();
            q.offer(root);
            while (!q.isEmpty()) {
                List<Integer> t = new ArrayList<>();
                for (int n = q.size(); n > 0; --n) {
                    root = q.poll();
                    t.add(root.val);
                    q.addAll(root.children);
                }
                ans.add(t);
            }
            return ans;
        }
    }
    
  • /*
    // 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:
        vector<vector<int>> levelOrder(Node* root) {
            vector<vector<int>> ans;
            if (!root) return ans;
            queue<Node*> q{ {root} };
            while (!q.empty()) {
                vector<int> t;
                for (int n = q.size(); n > 0; --n) {
                    root = q.front();
                    q.pop();
                    t.push_back(root->val);
                    for (auto& child : root->children) q.push(child);
                }
                ans.push_back(t);
            }
            return ans;
        }
    };
    
  • """
    # Definition for a Node.
    class Node:
        def __init__(self, val=None, children=None):
            self.val = val
            self.children = children
    """
    
    
    class Solution:
        def levelOrder(self, root: 'Node') -> List[List[int]]:
            ans = []
            if root is None:
                return ans
            q = deque([root])
            while q:
                t = []
                for _ in range(len(q)):
                    root = q.popleft()
                    t.append(root.val)
                    q.extend(root.children)
                ans.append(t)
            return ans
    
    
  • /**
     * Definition for a Node.
     * type Node struct {
     *     Val int
     *     Children []*Node
     * }
     */
    
    func levelOrder(root *Node) [][]int {
    	var ans [][]int
    	if root == nil {
    		return ans
    	}
    	q := []*Node{root}
    	for len(q) > 0 {
    		var t []int
    		for n := len(q); n > 0; n-- {
    			root = q[0]
    			q = q[1:]
    			t = append(t, root.Val)
    			for _, child := range root.Children {
    				q = append(q, child)
    			}
    		}
    		ans = append(ans, t)
    	}
    	return ans
    }
    
  • /**
     * Definition for node.
     * class Node {
     *     val: number
     *     children: Node[]
     *     constructor(val?: number) {
     *         this.val = (val===undefined ? 0 : val)
     *         this.children = []
     *     }
     * }
     */
    
    function levelOrder(root: Node | null): number[][] {
        const res = [];
        if (root == null) {
            return res;
        }
        const queue = [root];
        while (queue.length !== 0) {
            const n = queue.length;
            const vals = [];
            for (let i = 0; i < n; i++) {
                const { val, children } = queue.shift();
                vals.push(val);
                queue.push(...children);
            }
            res.push(vals);
        }
        return res;
    }
    
    

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