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Solution: Two City Scheduling

Explore the greedy algorithm approach to solve the Two City Scheduling problem. Understand how sorting candidates by cost difference optimizes the total interview invitation cost while maintaining balance between two locations.

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 A ...