Find and count target-sum subarrays

Q: Find and count target-sum subarrays

This question evaluates understanding of contiguous subarray-sum problems, algorithmic techniques for linear-time and constant-extra-space solutions, and the ability to reason about correctness and edge cases such as zeros, negative numbers, and large inputs.

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Question

Given an integer array nums and an integer target, implement: (

a function that returns true if any non-empty contiguous subarray sums to target; (
a function that returns the number of contiguous subarrays whose sum equals target; (
assuming all numbers in nums are non-negative, design an O(n) time, O(
extra-space method to find one such subarray (return its start and end indices) and explain how to adapt it to count all such subarrays. For (
and (
also aim for O(n) time. Discuss trade-offs, edge cases (e.g., zeros, negative numbers, large inputs), and prove correctness.

Find and count target-sum subarrays

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