A10197. Tennis Tournament

A 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).

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.

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

In the first example will be three rounds:

1. 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),
2. in the second round will be only one match, so we need another $5$ bottles of water,
3. 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.