# Program to find maximum how many water bottles we can drink in Python

PythonServer Side ProgrammingProgramming

Suppose there are n number of full water bottles, we can exchange m empty water bottles for only one full water bottle. Now drinking a full water bottle makes it an empty bottle. We have to find the maximum number of water bottles we can drink.

So, if the input is like n = 9, m = 3, then the output will be 13 because initially we have 9 bottles, so after drinking all bottles, we can get 9/3 = 3 full bottles, after drinking them all we have three empty bottles and using them we can buy one and drink it, so we completed 9 + 3 + 1 = 13 bottles.

To solve this, we will follow these steps −

• x:= n, s:= 0, k:= 0

• while x >= m, do

• k:= x mod m

• x:= quotient of x / m

• s:= s + x

• x:= x + k

• return n + s

## Example (Python)

Let us see the following implementation to get better understanding −

Live Demo

def solve(n, m):
x=n
s=0
k=0
while x >= m:
k=x % m
x=x // m
s=s + x
x=x + k
return n + s

n = 9
m = 3
print(solve(n, m))

## Input

9, 3

## Output

13
Published on 17-May-2021 12:19:21