Trees
Build a Binary Tree
Create a fixed seven-node binary tree and render its shape.
Algorithm
The canonical tree is 4(2(1,3),6(5,7)), so this C# DSA
implementation can be compared directly with the rest of the DSA track.
Basic Implementation
basic.cs
using System;
using System.Collections.Generic;
using System.Linq;
class Node {
public int Value;
public Node? Left;
public Node? Right;
public Node(int value, Node? left = null, Node? right = null) { Value = value; Left = left; Right = right; }
}
class Program {
static string Render(Node? node) {
if (node == null) return "_";
if (node.Left == null && node.Right == null) return node.Value.ToString();
return $"{node.Value}({Render(node.Left)},{Render(node.Right)})";
}
static Node SampleTree() => new Node(4, new Node(2, new Node(1), new Node(3)), new Node(6, new Node(5), new Node(7)));
static string ListString(IEnumerable<int> values) => "[" + string.Join(", ", values) + "]";
static void Main() { Console.WriteLine(Render(SampleTree())); }
}
Complexity
- Time: O(n)
- Space: O(n)
Implementation notes
- Render tree structure explicitly instead of printing node objects.
- The replay highlights the node, traversal state, queue, path, or search cursor that changes at each step.
node links
A node stores one value plus references to its left and right children.