"Master Search insert position: Take `nums` (number[]) and `target` (number), execute an optimal bs on 1d arrays strategy, and return number with clean edge-case handling."
Real-World Metaphor:
Think of Search insert position as an everyday real-world challenge: you receive input data, inspect its elements in sequence without making unnecessary duplicate passes, and transform the collection to reach the exact target without wasting computer memory.
Interactive Visual WalkthroughARRAY-POINTERS
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Search insert position State Pipeline
start
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[0]
3
[1]
5
[2]
6
[3]
Memory Notepad / State Tracker
Status:Initialized
Mode:Scanning
Evaluating
1. Initialize State for Search insert position
Load inputs and initialize algorithmic registers.
How to Think About This (Mental Model)
Unpack the problem parameters (`nums` (number[]) and `target` (number)) and clarify what is given vs what must be returned.
Identify the optimal data structure or pattern (e.g. pointers, hash map, or stack) to avoid redundant recalculations.
Walk through state transitions, handle edge cases (empty collections, single items, negative numbers), and return the verified result.
Given a sorted array of integers `nums` and an integer `target`, find the index or answer corresponding to **Search insert position**.
Your solution must achieve logarithmic runtime complexity `O(log N)`.
Examples
Example 1
Input: nums = [1,3,5,6], target = 5
Output: 2
Explanation: 5 is found at index 2.
Example 2
Input: nums = [1,3,5,6], target = 2
Output: -1
Explanation: 2 is not present in the array.
Constraints
1 <= nums.length <= 10^5
-10^9 <= nums[i], target <= 10^9
Topic Tags:
Binary Search [1D, 2D Arrays, Search Space]BS on 1D ArrayssearchInsertPosition