Tennis Tournament

题意翻译

$n$ 个选手进行若干场比赛（每场比赛为两人，胜者晋级，败者淘汰） 1.每场比赛每位选手需要 $b$ 瓶水，裁判需要$1$ 瓶水； 2.每位选手每次比赛需要 $p$ 块毛巾. 询问一共需要多少瓶水，多少块毛巾?

题目描述

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).

输入输出格式

输入格式

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.

输出格式

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

输入输出样例

输入样例 #1

5 2 3

输出样例 #1

20 15

输入样例 #2

8 2 4

输出样例 #2

35 32

说明

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.

题意翻译

$n$ 个选手进行若干场比赛（每场比赛为两人，胜者晋级，败者淘汰） 1.每场比赛每位选手需要 $b$ 瓶水，裁判需要$1$ 瓶水； 2.每位选手每次比赛需要 $p$ 块毛巾. 询问一共需要多少瓶水，多少块毛巾?