findPath.js

const root = {
	a: {
		m: { c: { x: 'apple', y: {} } },
		n: { 1: {}, 2: {} },
		o: {},
	},
};

const findPath = (tree, destination) => {
	for (let key in tree) {
		if (tree.hasOwnProperty(key)) {
			if (tree[key] === destination) {
				return key;
			} else if (typeof tree[key] === 'object') {
				let result = findPath(tree[key], destination);
				if (result) {
					return key + '→' + result;
				}
			}
		}
	}
};

console.log(findPath(root, 'apple'));

initial commit