Two Sum Problem Explained 🔥 | Python Solution for LeetCode & Coding Interviews 🚀 #leetcode #python

Given an array of integers nums and an integer target, return indices of the two numbers such that they add up to target.

You may assume that each input would have exactly one solution, and you may not use the same element twice.

You can return the answer in any order.

Example 1:

Input: nums = [2,7,11,15], target = 9
Output: [0,1]
Explanation: Because nums[0] + nums[1] == 9, we return [0, 1].
Example 2:

Input: nums = [3,2,4], target = 6
Output: [1,2]
Example 3:

Input: nums = [3,3], target = 6
Output: [0,1]

Follow-up: Can you come up with an algorithm that is less than O(n2) time complexity?

🚀 In this video, we solve the *Two Sum* problem step by step in Python! 🔥 This is one of the most popular coding interview questions asked by top tech companies like **Google, Amazon, Microsoft, and Facebook**.

✅ We cover:
✔️ Brute force approach (O(n²))
✔️ Optimized HashMap approach (O(n))
✔️ Step-by-step explanation with an example
✔️ Python code walkthrough

🔎 *Problem Statement:*
Given an array of integers `nums` and an integer `target`, return *indices of the two numbers* such that they add up to `target`.
Each input will have exactly **one solution**, and the same element cannot be used twice.

📌 *Example:*
*Input:* nums = [2,7,11,15], target = 9
*Output:* [0,1]

🔥 *Time Complexity:*
Brute Force → *O(n²)*
Optimized HashMap → *O(n)*

💡 *Who should watch this?*
Beginners learning *Python & DSA*
Candidates preparing for *FAANG interviews*
Anyone looking to improve their *problem-solving skills*

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