Vasya and Socks Coding Question-Codeforces rated 900

Problem Statement :

Vasya has n pairs of socks. In the morning of each day Vasya has to put on a pair of socks before he goes to school. When he comes home in the evening, Vasya takes off the used socks and throws them away. Every m-th day (at days with numbers m, 2m, 3m, …) mom buys a pair of socks to Vasya. She does it late in the evening, so that Vasya cannot put on a new pair of socks before the next day. How many consecutive days pass until Vasya runs out of socks?

Input Format:

The single line contains two integers n and m (1 ≤ n ≤ 100; 2 ≤ m ≤ 100), separated by a space.

Output Format:

Print a single integer — the answer to the problem.

Given:

2 2

Output:

3

Explanation of given Test Cases :

In the first sample, Vasya spends the first two days wearing the socks that he had initially. Then on day three he puts on the socks that were bought on day two.

Approach:

The answer can be calculated using the formula:

where ⌊ x⌋ is the integer part of x.

Code:

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