In this video, we solve the Search Insert Position problem step by step using the binary search pattern.
First, we understand the idea of searching for a target in a sorted array. If the target is present, we return its index. If it is not present, we find the correct position where the element should be inserted so that the array remains sorted.
Then we build the intuition for applying binary search, where we maintain the low and high pointers, calculate the mid index, and reduce the search space based on the comparison with the target. The key observation is that when the target is not found, the low pointer itself represents the correct insert position.
In this video we cover:
Problem intuition, binary search pattern, maintaining low and high pointers, calculating the mid index, reducing the search space, understanding why low gives the insert position, clean implementation in C++, Java, and Python, time complexity O(log n), space complexity O(1).
Tips while learning:
• Always dry run binary search problems on paper
• Focus on how the search space reduces each step
• Try writing the code yourself instead of copy-pasting
• Practice similar binary search pattern problems
This is a very common binary search interview question and helps in understanding many other binary search variations.
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