CF466B.Wonder Room

The start of the new academic year brought about the problem of accommodation students into dormitories. One of such dormitories has a a × b square meter wonder room. The caretaker wants to accommodate exactly n students there. But the law says that there must be at least 6 square meters per student in a room (that is, the room for n students must have the area of at least 6_n_ square meters). The caretaker can enlarge any (possibly both) side of the room by an arbitrary positive integer of meters. Help him change the room so as all n students could live in it and the total area of the room was as small as possible.

新学年的开始带来了将学生安排进宿舍的问题。其中一间宿舍拥有一间 $a \times b$ 平方米的“神奇房间”。管理员希望恰好安排 $n$ 名学生入住该房间。但法律规定，每名学生在房间内至少需有 6 平方米的空间（即：容纳 $n$ 名学生的房间面积至少为 $6n$ 平方米）。管理员可以将房间的任意一侧（甚至两侧）按任意正整数米的长度进行扩大。请帮助他改造房间，使得所有 $n$ 名学生均可入住，且房间的总面积尽可能小。

The first line contains three space-separated integers n, a and b (1 ≤ n, a, b ≤ 109) — the number of students and the sizes of the room.

第一行包含三个以空格分隔的整数 $n$、$a$ 和 $b$（$1 ≤ n, a, b ≤ 10^9$）—— 分别表示学生人数以及房间的尺寸。

Print three integers s, _a_1 and _b_1 (a ≤ _a_1; b ≤ _b_1) — the final area of the room and its sizes. If there are multiple optimal solutions, print any of them.

输出三个整数 $s$、$a_1$ 和 $b_1$（满足 $a \leq a_1$；$b \leq b_1$）——即房间的最终面积及其边长。若存在多个最优解，输出任意一个即可。