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B. Wonder Room

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputThe 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.

Input

The first line contains three space-separated integers *n*, *a* and *b* (1 ≤ *n*, *a*, *b* ≤ 10^{9}) — the number of students and the sizes of the room.

Output

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.

Examples

Input

3 3 5

Output

18

3 6

Input

2 4 4

Output

16

4 4

Codeforces (c) Copyright 2010-2022 Mike Mirzayanov

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