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Problem: Search Insert Position

Explore how to implement a binary search algorithm that locates the target's index or the correct insertion point in a sorted array of distinct integers. Understand the step-by-step approach to maintain sorted order efficiently with O(log n) runtime and constant space usage.

Statement

You are given a sorted array nums consisting of distinct integers, along with an integer target. If target exists in nums, return its index. Otherwise, return the index at which target would need to be inserted to maintain the array’s sorted order.

Your solution must achieve O(logn)O(\log n) runtime complexity.

Constraints:

  • 11 \leq nums.length 104\leq 10^4 ...