Water Bottles II
You are given two integers numBottles and numExchange.
numBottles represents the number of full water bottles that you initially have. In one operation, you can perform one of the following operations:
- Drink any number of full water bottles, turning them into empty bottles.
- Exchange
numExchangeempty bottles with one full water bottle. Then, increasenumExchangeby one.
Note that you cannot exchange multiple batches of empty bottles for the same value of numExchange. For example, if numBottles == 3 and numExchange == 1, you cannot exchange 3 empty water bottles for 3 full bottles.
Return the maximum number of water bottles you can drink.
Example 1
Input
numBottles = 13, numExchange = 6Output
15The table above shows the number of full water bottles, empty water bottles, the value of numExchange, and the number of bottles drunk.
Example 2
Input
numBottles = 10, numExchange = 3Output
13The table above shows the number of full water bottles, empty water bottles, the value of numExchange, and the number of bottles drunk.
Constraints
- 1 <= numBottles <= 100
- 1 <= numExchange <= 100