LeetCode 35: Search Insert Position | Binary Search Explained | Optimal C++ Solution

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In this video, we solve LeetCode 35: Search Insert Position using the efficient Binary Search Approach in C++.

This is one of the most important beginner-friendly Binary Search problems and is frequently asked in coding interviews. It teaches how to efficiently search in a sorted array and determine the correct insertion position when the target element is not present.

🧠 What You'll Learn

✔ Understanding the Search Insert Position Problem
✔ Binary Search Fundamentals
✔ How to Find an Element in a Sorted Array
✔ How to Find the Correct Insert Position
✔ Step-by-Step Dry Run
✔ Complete C++ Solution Walkthrough
✔ Time & Space Complexity Analysis

⚡ Approach Used

Since the array is sorted, Binary Search is the most efficient approach.

We maintain two pointers:

left at the beginning of the array
right at the end of the array

For every iteration:

Calculate the middle index mid
If the target is found, return its index
If the target is greater than nums[mid], search in the right half
Otherwise, search in the left half

If the target does not exist in the array, the Binary Search loop ends when left crosses right.

At that point, left represents the exact position where the target should be inserted while maintaining the sorted order of the array.

This makes Binary Search both efficient and elegant for solving the problem.

🎯 Key Concepts Covered

🔹 Binary Search
🔹 Sorted Arrays
🔹 Search Space Reduction
🔹 Insert Position Logic
🔹 Efficient Problem Solving
🔹 Interview Preparation

Complexity Analysis

🕒 Time Complexity: O(log n)

The search space is reduced by half during each iteration.

💾 Space Complexity: O(1)

No extra data structures are used.

🚀 Why This Problem Is Important

Search Insert Position is one of the most common introductory Binary Search questions.

It helps you understand:

Binary Search Implementation
Boundary Conditions
Sorted Array Operations
Search Space Optimization

These concepts are heavily used in medium and hard-level interview questions.

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Видео LeetCode 35: Search Insert Position | Binary Search Explained | Optimal C++ Solution канала Code with Himmat