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g1001_1100.s1029_two_city_scheduling.readme.md Maven / Gradle / Ivy

1029\. Two City Scheduling

Medium

A company is planning to interview `2n` people. Given the array `costs` where costs[i] = [aCosti, bCosti], the cost of flying the ith person to city `a` is aCosti, and the cost of flying the ith person to city `b` is bCosti.

Return _the minimum cost to fly every person to a city_ such that exactly `n` people arrive in each city.

**Example 1:**

**Input:** costs = [[10,20],[30,200],[400,50],[30,20]]

**Output:** 110

**Explanation:**  

The first person goes to city A for a cost of 10. 

The second person goes to city A for a cost of 30. 

The third person goes to city B for a cost of 50. 

The fourth person goes to city B for a cost of 20.

The total minimum cost is 10 + 30 + 50 + 20 = 110 to have half the people interviewing in each city.

**Example 2:**

**Input:** costs = [[259,770],[448,54],[926,667],[184,139],[840,118],[577,469]]

**Output:** 1859

**Example 3:**

**Input:** costs = [[515,563],[451,713],[537,709],[343,819],[855,779],[457,60],[650,359],[631,42]]

**Output:** 3086

**Constraints:**

*   `2 * n == costs.length`
*   `2 <= costs.length <= 100`
*   `costs.length` is even.
*   1 <= aCosti, bCosti <= 1000