The largest and smallest number of solved problems#9420
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The largest and smallest number of solved problems

1 second
64 megabytes
Very easy

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

  1. the maximum number of problems that a single student could have solved;

  2. the minimum number of problems that the student who solved the most problems could have solved;

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

Input

You will receive two integers, and , separated by a space.

Constraints:

  • 3 \leq n \leq 38

  • 4 \leq sum \leq 50

  • sum > n

Output

Print three integers, , , and , separated by spaces.

Examples

Example 1

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