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