Count expressions reaching a target sum

Q: Count expressions reaching a target sum

This question evaluates a candidate's understanding of combinatorial counting, recursion with memoization, iterative dynamic programming, and handling edge cases such as zeros and large sums.

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Question

Given an array of non-negative integers nums and an integer target T, assign either a + or − sign to each number to form an expression. Count how many distinct sign assignments evaluate exactly to T. Implement a correct solution and compare recursion with memoization vs iterative dynamic programming; analyze time and space complexity. Discuss handling zeros, large sums, and how to return one valid assignment if it exists.

Count expressions reaching a target sum

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