Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.

No tag edit access

A. Tennis Tournament

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputA tennis tournament with *n* participants is running. The participants are playing by an olympic system, so the winners move on and the losers drop out.

The tournament takes place in the following way (below, *m* is the number of the participants of the current round):

- let
*k*be the maximal power of the number 2 such that*k*≤*m*, -
*k*participants compete in the current round and a half of them passes to the next round, the other*m*-*k*participants pass to the next round directly, - when only one participant remains, the tournament finishes.

Each match requires *b* bottles of water for each participant and one bottle for the judge. Besides *p* towels are given to each participant for the whole tournament.

Find the number of bottles and towels needed for the tournament.

Note that it's a tennis tournament so in each match two participants compete (one of them will win and the other will lose).

Input

The only line contains three integers *n*, *b*, *p* (1 ≤ *n*, *b*, *p* ≤ 500) — the number of participants and the parameters described in the problem statement.

Output

Print two integers *x* and *y* — the number of bottles and towels need for the tournament.

Examples

Input

5 2 3

Output

20 15

Input

8 2 4

Output

35 32

Note

In the first example will be three rounds:

- in the first round will be two matches and for each match 5 bottles of water are needed (two for each of the participants and one for the judge),
- in the second round will be only one match, so we need another 5 bottles of water,
- in the third round will also be only one match, so we need another 5 bottles of water.

So in total we need 20 bottles of water.

In the second example no participant will move on to some round directly.

Codeforces (c) Copyright 2010-2020 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: Aug/14/2020 02:44:41 (i1).

Desktop version, switch to mobile version.

Supported by

User lists

Name |
---|