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Solution: Search Insert Position

Understand how to apply modified binary search to find the index of a target value or determine its correct insertion point in a sorted array. This lesson guides you through the step-by-step algorithm with clear explanation of pointers, midpoint calculation, and boundary adjustments to maintain O(log n) time complexity and O(1) space complexity.

Statement

Given a sorted array of distinct integers, nums, and an integer, target, return the index of target if it exists in the array.
If the target is not present, return the index where it should be inserted to maintain the sorted order.

Your algorithm must run in the O(logn)O(\log n) time.

Constraints:

  • 11 \leq nums.length 103\leq 10^3 ...