Two City Scheduling

Posted by Leetcode Solution on June 3, 2020

There are 2N people a company is planning to interview. The cost of flying the i-th person to city A is costs[i][0], and the cost of flying the i-th person to city B is costs[i][1].

Return the minimum cost to fly every person to a city such that exactly N people arrive in each city.

Example 1:

Input: [[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.

Solution

这个题的思路是先让所有人都去城市A, 然后计算如果把每个人从A移到B的cost,然后排序从小到大,把前一半的人move到B

class Solution:
    def twoCitySchedCost(self, costs: List[List[int]]) -> int:
        res =0
        q=[]
        n = len(costs)//2                     
        for i in range(n):
            res = res +costs[i][0]
            heapq.heappush(q,costs[i][1]-costs[i][0])
        for i in range(n,len(costs)):
            res = res +costs[i][0]
            res +=heapq.heappushpop(q,costs[i][1]-costs[i][0])
        return res

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