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Grokking the Coding Interview Patterns

Solution: Two City Scheduling

Explore how to solve the Two City Scheduling problem using a greedy approach. Learn to minimize total interview costs by sorting candidates based on cost differences and optimally assigning half to each city. Understand how sorting based on cost differences leads to an efficient distribution minimizing expenses under given constraints.

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Statement

A recruiter plans to hire n\textbf{\textit{n}} people and conducts their interviews at two different locations of the company. He evaluates the cost of inviting candidates to both these locations. The plan is to invite 50% at one location, and the rest at the other location, keeping costs to a minimum.

We are given an array, costs, where costs[i]=[aCosti,bCosti]costs[i] = [aCost_i, bCost_i], the cost of inviting the ithi^{th} person to City ...