CF628A.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).

一场有 $n$ 名参赛者的网球锦标赛正在进行。参赛者采用奥林匹克赛制，即获胜者晋级，失败者淘汰。

锦标赛按如下方式进行（其中 $m$ 表示当前轮次的参赛者人数）：

• 设 $k$ 为不超过 $m$ 的最大 2 的幂，即 $k = 2^{\lfloor \log_2 m \rfloor}$；
• 当前轮次中，$k$ 名参赛者进行比赛，其中一半（即 $k/2$ 名）晋级下一轮，其余 $m - k$ 名参赛者直接晋级下一轮；
• 当仅剩一名参赛者时，锦标赛结束。

每场比赛中，每位参赛者需消耗 $b$ 瓶水，裁判需消耗 $1$ 瓶水。此外，每位参赛者在整个锦标赛中会获得 $p$ 条毛巾。

求本次锦标赛所需的水瓶总数和毛巾总数。

注意：这是一场网球锦标赛，因此每场比赛均有两名参赛者对决（其中一人获胜，另一人失败）。

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.

唯一的一行包含三个整数 $n$、$b$、$p$（$1 \leq n, b, p \leq 500$）——即参赛者人数以及题目描述中所述的参数。

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

输出两个整数 $x$ 和 $y$ —— 分别表示该锦标赛所需的瓶子数量和毛巾数量。

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.

在第一个例子中，将进行三轮比赛：

1. 第一轮将进行两场比赛，每场比赛需要 5 瓶水（每位参赛者各 2 瓶，裁判 1 瓶）；
2. 第二轮仅进行一场比赛，因此还需要另外 5 瓶水；
3. 第三轮也仅进行一场比赛，因此还需要另外 5 瓶水。

因此，总共需要 20 瓶水。

在第二个例子中，没有任何参赛者能直接晋级到某一轮。