Young Programmers#2061

Young Programmers

1 second
64 megabytes
Easy

It is known that the school has at least k_1 students, but no more than k_2 students. It is also known that each boy is friends with girls, and each girl is friends with boys. What is the minimum possible number of students in the school, and how many boys and girls are there?

Young programmers, as you can see, are still solving this task. Help them.

Input

The first line of the input file contains numbers separated by spaces: k_1, k_2, , and . All input values are positive integers not exceeding , and k_1 \leq k_2.

Output

Print in a single line three numbers separated by spaces: the total number of students in the school, the number of boys, and the number of girls. It is guaranteed that the input is correct and the answer always exists.

Examples

Example 1

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