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Solution: Two City Scheduling

Explore the greedy technique to solve the Two City Scheduling problem by minimizing total interview costs. Understand how sorting candidates by cost differences and assigning half to each city leads to an optimal, efficient solution.

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 AA is aCostiaCost_i ...