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  • Home

    [Tree] Tree Sum

    Published Nov 24, 2021 [  Tree  ]

    Problem

    Write a function, treeSum, that takes in the root of a binary tree that contains number values. The function should return the total sum of all values in the tree.

    DFS Recursion, DFS Stack, BFS Queue

    
    class Node {
      constructor(val) {
        this.val = val;
        this.left = null;
        this.right = null;
      }
    }
    
    const treeSum = (root) => {
    	// base case
    	if(root === null) return 0;
    	return root.val + treeSum(root.left) + treeSum(root.right)
    };
    
    const treeSumStack = (root) => {
    	if(root === null) return 0;
    	let sum = 0;
    	const stack = [root]
    	
    	while(stack.length > 0) {
    		const current = stack.pop()
    		sum += current.val;
    		
    		if(current.left) stack.push(current.left)
    		if(current.right) stack.push(current.right)
    	}
    	
    	return sum
    };
    
    const treeSumQueue = (root) => {
    	if(root === null) return 0;
    	// todo
    	let sum = 0;
    	const queue = [root]
    
    	while(queue.length > 0) {
    		const current = queue.shift()
    		sum += current.val;
    
    		if(current.left) queue.push(current.left)
    		if(current.right) queue.push(current.right)
    	}
    
    	return sum
    };
    
    {
    	const a = new Node(3);
    	const b = new Node(11);
    	const c = new Node(4);
    	const d = new Node(4);
    	const e = new Node(-2);
    	const f = new Node(1);
    
    	a.left = b;
    	a.right = c;
    	b.left = d;
    	b.right = e;
    	c.right = f;
    
    //       3
    //    /    \
    //   11     4
    //  / \      \
    // 4   -2     1
    
    	console.log(
    	treeSum(a)); // -> 21
    	console.log(
    		treeSumStack(a)); // -> 21
    	console.log(
    		treeSumQueue(a)); // -> 21
    }
    
    {
    	const a = new Node(1);
    	const b = new Node(6);
    	const c = new Node(0);
    	const d = new Node(3);
    	const e = new Node(-6);
    	const f = new Node(2);
    	const g = new Node(2);
    	const h = new Node(2);
    
    	a.left = b;
    	a.right = c;
    	b.left = d;
    	b.right = e;
    	c.right = f;
    	e.left = g;
    	f.right = h;
    
    //      1
    //    /   \
    //   6     0
    //  / \     \
    // 3   -6    2
    //    /       \
    //   2         2
    
    	console.log(
    	treeSum(a)); // -> 10
    	console.log(
    		treeSumStack(a)); // -> 21
    	console.log(
    		treeSumQueue(a)); // -> 21
    }
    
    {
    	console.log(
    	treeSum(null)); // -> 0
    	console.log(
    		treeSumStack(null)); // -> 0
    	console.log(
    		treeSumQueue(null)); // -> 0
    }
    

    Reference