The largest and smallest number of solved problems

Problem Statement

There are n students who collectively solved sum different problems. Each student solved at least one problem. Your task is to determine the following:

1. maxmax: The maximum number of problems that a single student could have solved.

2. minmax: The minimum number of problems that the student who solved the most problems could have solved.

3. maxmin: The maximum number of problems that the student who solved the fewest problems could have solved.

Input

You will receive two integers, n and sum, separated by a space. The constraints are as follows: 3 ≤ n ≤ 38, 4 ≤ sum ≤ 50, and sum > n.

Output

Print three integers, maxmax, minmax, and maxmin, separated by spaces.

Examples