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1029. 两地调度

公司计划面试 2n 人。给你一个数组 costs ,其中 costs[i] = [aCosti, bCosti] 。第 i 人飞往 a 市的费用为 aCosti ,飞往 b 市的费用为 bCosti

返回将每个人都飞到 ab 中某座城市的最低费用,要求每个城市都有 n 人抵达

 

示例 1:

输入:costs = [[10,20],[30,200],[400,50],[30,20]]
输出:110
解释:
第一个人去 a 市,费用为 10。
第二个人去 a 市,费用为 30。
第三个人去 b 市,费用为 50。
第四个人去 b 市,费用为 20。

最低总费用为 10 + 30 + 50 + 20 = 110,每个城市都有一半的人在面试。

示例 2:

输入:costs = [[259,770],[448,54],[926,667],[184,139],[840,118],[577,469]]
输出:1859

示例 3:

输入:costs = [[515,563],[451,713],[537,709],[343,819],[855,779],[457,60],[650,359],[631,42]]
输出:3086

 

提示:

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class Solution { public: int twoCitySchedCost(vector<vector<int>>& costs) { } };

golang 解法, 执行用时: 4 ms, 内存消耗: 2.4 MB, 提交时间: 2022-11-26 17:47:59

func twoCitySchedCost(costs [][]int) (res int) {
    sort.Slice(costs, func(i, j int)bool{
        return (costs[i][0] - costs[i][1]) < (costs[j][0] - costs[j][1])
    })
    for i := 0; i < len(costs) / 2; i++{
        res += costs[i][0]
    }
    for i := len(costs) / 2; i < len(costs); i++{
        res += costs[i][1]
    }
    return
}

java 解法, 执行用时: 1 ms, 内存消耗: 39.7 MB, 提交时间: 2022-11-26 17:47:18

class Solution {
    public int twoCitySchedCost(int[][] costs) {
      // Sort by a gain which company has 
      // by sending a person to city A and not to city B
      Arrays.sort(costs, new Comparator<int[]>() {
          @Override
          public int compare(int[] o1, int[] o2) {
              return o1[0] - o1[1] - (o2[0] - o2[1]);
          }
      });

      int total = 0;
      int n = costs.length / 2;
      // To optimize the company expenses,
      // send the first n persons to the city A
      // and the others to the city B
      for (int i = 0; i < n; ++i) total += costs[i][0] + costs[i + n][1];
      return total;
    }
}

python3 解法, 执行用时: 40 ms, 内存消耗: 15 MB, 提交时间: 2022-11-26 17:45:55

class Solution:
    def twoCitySchedCost(self, costs: List[List[int]]) -> int:
        # Sort by a gain which company has 
        # by sending a person to city A and not to city B
        costs.sort(key = lambda x : x[0] - x[1])
        
        total = 0
        n = len(costs) // 2
        # To optimize the company expenses,
        # send the first n persons to the city A
        # and the others to the city B
        for i in range(n):
            total += costs[i][0] + costs[i + n][1]
        return total

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