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77 changes: 58 additions & 19 deletions src/chapter4/ch4-q02.js
Original file line number Diff line number Diff line change
@@ -1,6 +1,45 @@
'use strict';

import { Tree } from './helpers';
// import { Tree } from './helpers';


// * The prior solution can be improved upon and run in
// Time: O(N);
// Space: O(N);
/* A function that constructs Balanced Binary Search Tree
from a sorted array */

export function main(arr) {
if (!arr || arr.length < 1) return null;

const tree = new BinaryTree();
//if its only one number its a node not a tree else create tree;
return arr.length === 1 ? new Node(arr[0]) :
tree.createBst(arr, 0, arr.length - 1);
}

class Node {
constructor(data) {
this.val = data;
this.left = this.right = null;
}
}

class BinaryTree {

createBst(arr, start, end) {
if (start > end) return null;
const mid = Math.floor((start + end) / 2),
node = new Node(arr[mid]);


node.left = this.createBst(arr, start, mid - 1);
node.right = this.createBst(arr, mid + 1, end);
return node;
}
}



/**
* As the list is already sorted the best way to create a balanced tree is by
Expand All @@ -12,22 +51,22 @@ import { Tree } from './helpers';
* Time: O(N lg N)
* Additional space: O(N)
*/
export function makeBalancedTree(values) {
let tree = new Tree();
if (values && values.length) {
add(tree, values, 0, values.length - 1);
}
return tree;
}
// export function makeBalancedTree(values) {
// let tree = new Tree();
// if (values && values.length) {
// add(tree, values, 0, values.length - 1);
// }
// return tree;
// }

function add(tree, values, start, end) {
if (start === end) {
tree.add(values[start]);
}
else if (start < end) {
let mid = start + Math.floor((end - start) / 2);
tree.add(values[mid]);
add(tree, values, start, mid - 1);
add(tree, values, mid + 1, end);
}
}
// function add(tree, values, start, end) {
// if (start === end) {
// tree.add(values[start]);
// }
// else if (start < end) {
// let mid = start + Math.floor((end - start) / 2);
// tree.add(values[mid]);
// add(tree, values, start, mid - 1);
// add(tree, values, mid + 1, end);
// }
// }