Step 10: Sliding Window & Two Pointer Combined Problems›Medium Problems
Binary Subarrays With Sum
HardFunction: binarySubarraysWithSum()
ASCI Mission Breakdown • Simple as Hell
"Master Binary Subarrays With Sum: Take `nums` (number[]) and `target` (number), execute an optimal medium problems strategy, and return number with clean edge-case handling."
Real-World Metaphor:
Think of Binary Subarrays With Sum 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 WalkthroughSLIDING-WINDOW
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Binary Subarrays With Sum State Pipeline
start
1
[0]
3
[1]
5
[2]
6
[3]
Memory Notepad / State Tracker
Status:Initialized
Mode:Scanning
Evaluating
1. Initialize State for Binary Subarrays With Sum
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 **Binary Subarrays With Sum**.
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:
Sliding Window & Two Pointer Combined ProblemsMedium ProblemsbinarySubarraysWithSum