2187. Minimum Time to Complete Trips
Description
You are given an array time
where time[i]
denotes the time taken by the i^{th}
bus to complete one trip.
Each bus can make multiple trips successively; that is, the next trip can start immediately after completing the current trip. Also, each bus operates independently; that is, the trips of one bus do not influence the trips of any other bus.
You are also given an integer totalTrips
, which denotes the number of trips all buses should make in total. Return the minimum time required for all buses to complete at least totalTrips
trips.
Example 1:
Input: time = [1,2,3], totalTrips = 5 Output: 3 Explanation:  At time t = 1, the number of trips completed by each bus are [1,0,0]. The total number of trips completed is 1 + 0 + 0 = 1.  At time t = 2, the number of trips completed by each bus are [2,1,0]. The total number of trips completed is 2 + 1 + 0 = 3.  At time t = 3, the number of trips completed by each bus are [3,1,1]. The total number of trips completed is 3 + 1 + 1 = 5. So the minimum time needed for all buses to complete at least 5 trips is 3.
Example 2:
Input: time = [2], totalTrips = 1 Output: 2 Explanation: There is only one bus, and it will complete its first trip at t = 2. So the minimum time needed to complete 1 trip is 2.
Constraints:
1 <= time.length <= 10^{5}
1 <= time[i], totalTrips <= 10^{7}
Solutions
Solution 1
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