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  • Home

    [LeetCode 572] Subtree of Another Tree

    Published Jun 27, 2022 [  Tree  ]

    Problem

    Given the roots of two binary trees root and subRoot, return true if there is a subtree of root with the same structure and node values of subRoot and false otherwise.

    A subtree of a binary tree tree is a tree that consists of a node in tree and all of this node’s descendants. The tree tree could also be considered as a subtree of itself.

    Example 1:

    Input: root = [3,4,5,1,2], subRoot = [4,1,2]
    Output: true
    

    Example 2:

    Input: root = [3,4,5,1,2,null,null,null,null,0], subRoot = [4,1,2]
    Output: false
    

    Constraints:

    • The number of nodes in the root tree is in the range [1, 2000].
    • The number of nodes in the subRoot tree is in the range [1, 1000].
    • -10^4 <= root.val <= 10^4
    • -10^4 <= subRoot.val <= 10^4

    Thoughts

    • For each node of the main tree, treat it as the root as the subtree, if the two subtrees are the same, returns true

    TypeScript

    /**
     * Definition for a binary tree node.
     * class TreeNode {
     *     val: number
     *     left: TreeNode | null
     *     right: TreeNode | null
     *     constructor(val?: number, left?: TreeNode | null, right?: TreeNode | null) {
     *         this.val = (val===undefined ? 0 : val)
     *         this.left = (left===undefined ? null : left)
     *         this.right = (right===undefined ? null : right)
     *     }
     * }
     */
    
    function isSubtree(root: TreeNode | null, subRoot: TreeNode | null): boolean {
        
        const isIdentical = (node1: TreeNode, node2: TreeNode): boolean => {
            let identicalRes: boolean  = true;
            
            const travel = (node1: TreeNode, node2: TreeNode) => {
                if(identicalRes === false) return;
                if(node1 === null && node2 === null) return
                
                if(node1 === null || node2 === null || node1.val !== node2.val){
                    identicalRes = false;
                    return
                }
                travel(node1.left, node2.left)
                travel(node1.right, node2.right)
            }
             
            travel(node1, node2)
            
            return identicalRes;
        }
        
        let subtreeRes: boolean = false;
        
        const travelMain = (node1) => {
            if(subtreeRes === true) return;
            if(node1 === null) return;
            
            if( node1.val === subRoot.val && isIdentical(node1, subRoot)){
                subtreeRes = true
                return
            }
            
            travelMain(node1.left)
            travelMain(node1.right)
        }
       
        travelMain(root)
        
        return subtreeRes;
    };
    

    Reference