CF628A.Tennis Tournament
普及/提高-
通过率:0%
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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#1
5 2 3
输出#1
20 15
输入#2
8 2 4
输出#2
35 32
说明/提示
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.