Water Bottles

There are numBottles water bottles that are initially full of water. You can exchange numExchange empty water bottles from the market with one full water bottle.

The operation of drinking a full water bottle turns it into an empty bottle.

Given the two integers numBottles and numExchange, return the maximum number of water bottles you can drink.

 

Example 1:

Input: numBottles = 9, numExchange = 3
Output: 13
Explanation: You can exchange 3 empty bottles to get 1 full water bottle.
Number of water bottles you can drink: 9 + 3 + 1 = 13.

Example 2:

Input: numBottles = 15, numExchange = 4
Output: 19
Explanation: You can exchange 4 empty bottles to get 1 full water bottle. 
Number of water bottles you can drink: 15 + 3 + 1 = 19.

 

Constraints:

  • 1 <= numBottles <= 100
  • 2 <= numExchange <= 100
SOLUTION:
class Solution:
    def numWaterBottles(self, numBottles: int, numExchange: int) -> int:
        total = numBottles
        numFilled = 0
        numEmpty = numBottles
        while numEmpty >= numExchange:
            numFilled = (numEmpty // numExchange)
            total += numFilled
            numEmpty = numFilled + numEmpty % numExchange
        return total

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