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 TypeScript DSA
implementation can be compared directly with the rest of the DSA track.
Basic Implementation
basic.ts
class Node {
value: number;
left: Node | null;
right: Node | null;
constructor(value: number, left: Node | null = null, right: Node | null = null) {
this.value = value;
this.left = left;
this.right = right;
}
}
function render(node: Node | null): string {
if (node === null) return "_";
if (node.left === null && node.right === null) return String(node.value);
return `${node.value}(${render(node.left)},${render(node.right)})`;
}
function sampleTree(): Node {
return new Node(4, new Node(2, new Node(1), new Node(3)), new Node(6, new Node(5), new Node(7)));
}
const root = sampleTree();
console.log(render(root));
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.