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  • Home

    [Tree] Breadth First Values

    Published Nov 24, 2021 [  Tree  ]

    Problem

    Write a function, breadthFirstValues, that takes in the root of a binary tree. The function should return an array containing all values of the tree in breadth-first order.

    BFS Queue

    class Node {
      constructor(val) {
        this.val = val;
        this.left = null;
        this.right = null;
      }
    }
    
    const breadthFirstValues = (root) => {
    	// special case
    	if(root === null) return []
    
    	const res = []
    	const queue = [root]
    
    	while(queue.length > 0) {
    		const current = queue.shift()
    		res.push(current.val)
    
    		if(current.left) queue.push(current.left)
    		if(current.right) queue.push(current.right)
    	}
    
    	return res;
    };
    
    {
    	const a = new Node('a');
    	const b = new Node('b');
    	const c = new Node('c');
    	const d = new Node('d');
    	const e = new Node('e');
    	const f = new Node('f');
    
    	a.left = b;
    	a.right = c;
    	b.left = d;
    	b.right = e;
    	c.right = f;
    
    //      a
    //    /   \
    //   b     c
    //  / \     \
    // d   e     f
    
    	console.log(
    	breadthFirstValues(a));
    //    -> ['a', 'b', 'c', 'd', 'e', 'f']
    }
    
    {
    	const a = new Node('a');
    	const b = new Node('b');
    	const c = new Node('c');
    	const d = new Node('d');
    	const e = new Node('e');
    	const f = new Node('f');
    	const g = new Node('g');
    	const h = new Node('h');
    
    	a.left = b;
    	a.right = c;
    	b.left = d;
    	b.right = e;
    	c.right = f;
    	e.left = g;
    	f.right = h;
    
    //      a
    //    /   \
    //   b     c
    //  / \     \
    // d   e     f
    //    /       \
    //   g         h
    
    	console.log(
    	breadthFirstValues(a));
    //   -> ['a', 'b', 'c', 'd', 'e', 'f', 'g', 'h']
    }
    
    {
    	const a = new Node('a');
    
    //      a
    
    	console.log(
    	breadthFirstValues(a));
    //    -> ['a']
    }
    
    {
    	const a = new Node('a');
    	const b = new Node('b');
    	const c = new Node('c');
    	const d = new Node('d');
    	const e = new Node('e');
    	const x = new Node('x');
    
    	a.right = b;
    	b.left = c;
    	c.left = x;
    	c.right = d;
    	d.right = e;
    
    //      a
    //       \
    //        b
    //       /
    //      c
    //    /  \
    //   x    d
    //         \
    //          e
    
    	console.log(
    	breadthFirstValues(a));
    //    -> ['a', 'b', 'c', 'x', 'd', 'e']
    }
    
    {
    	console.log(
    	breadthFirstValues(null));
    //    -> []
    }
    
    

    Reference