Skip to main content

All Nodes Distance K in Binary Tree

Problem statement

Given the root of a binary tree, the value of a target node target, and an integer k, return an array of the values of all nodes that have a distance k from the target node.

You can return the answer in any order.

Example 1:

Input: root = [3,5,1,6,2,0,8,null,null,7,4], target = 5, k = 2Output: [7,4,1]Explanation: The nodes that are a distance 2 from the target node (with value 5) have values 7, 4, and 1.

Example 2:

Input: root = [1], target = 1, k = 3Output: []

Constraints:

  • The number of nodes in the tree is in the range [1, 500].
  • 0 <= Node.val <= 500
  • All the values Node.val are unique.
  • target is the value of one of the nodes in the tree.
  • 0 <= k <= 1000

My solution

/**
* Definition for a binary tree node.
* function TreeNode(val) {
* this.val = val;
* this.left = this.right = null;
* }
*/
/**
* @param {TreeNode} root
* @param {TreeNode} target
* @param {number} k
* @return {number[]}
*/
var distanceK = function(root, target, k) {
const nodes = [];

if (k === 0) {
return [target.val]
}

function findTargetNode(node, parent = null) {
if (!node) {
return;
}

node.parent = parent;

if (node.val === target.val) {
return node;
}

return findTargetNode(node.left, node) || findTargetNode(node.right, node)
}

const targetNode = findTargetNode(root)

function findNodeAtDistance(node, distance) {
if (!node || distance < 0 || node.visited) {
return;
}

node.visited = true;

if (distance === 0 && node.val !== targetNode.val) {
nodes.push(node.val);
return;
}

findNodeAtDistance(node.parent, distance - 1);
findNodeAtDistance(node.left, distance - 1);
findNodeAtDistance(node.right, distance - 1);
}

findNodeAtDistance(targetNode, k)

return nodes;

};