Beer Bottles - Microsoft Top Interview Questions


Problem Statement :


You are given an integer n representing n full beer bottles. 

Given that you can exchange 3 empty beer bottles for 1 full beer bottle, return the number of beer bottles you can drink.

Constraints

0 ≤ n < 2 ** 31

Example 1

Input

n = 9

Output

13

Explanation

In first round, we drink 9 beer bottles.

We can exchange the 9 empty ones for 3 beer bottles.

We can exchange the 3 empty ones for 1 beer bottle.



Solution :



title-img




                        Solution in C++ :

int solve(int n) {
    return !!n * (n + n / 2 - 1 + (n & 1));
}
                    


                        Solution in Java :

import java.util.*;

class Solution {
    public int solve(int n) {
        int exchange = 0;
        int initial = n;
        while (n > 2) {
            exchange += n / 3;
            n = (n % 3 + n / 3);
        }
        return (initial + exchange);
    }
}
                    


                        Solution in Python : 
                            
class Solution:
    def solve(self, full):
        empty = 0
        drunken = 0

        while full:
            drunken += full
            empty += full
            full = empty // 3
            empty %= 3

        return drunken
                    


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