CF455A.Boredom
普及/提高-
通过率:0%
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题目描述
Alex doesn't like boredom. That's why whenever he gets bored, he comes up with games. One long winter evening he came up with a game and decided to play it.
Given a sequence a consisting of n integers. The player can make several steps. In a single step he can choose an element of the sequence (let's denote it ak ) and delete it, at that all elements equal to ak+1 and ak−1 also must be deleted from the sequence. That step brings ak points to the player.
Alex is a perfectionist, so he decided to get as many points as possible. Help him.
输入格式
The first line contains integer n ( 1<=n<=105 ) that shows how many numbers are in Alex's sequence.
The second line contains n integers a1 , a2 , ..., an ( 1<=ai<=105 ).
输出格式
Print a single integer — the maximum number of points that Alex can earn.
输入输出样例
输入#1
2 1 2
输出#1
2
输入#2
3 1 2 3
输出#2
4
输入#3
9 1 2 1 3 2 2 2 2 3
输出#3
10
说明/提示
Consider the third test example. At first step we need to choose any element equal to 2 . After that step our sequence looks like this [2,2,2,2] . Then we do 4 steps, on each step we choose any element equals to 2 . In total we earn 10 points.