【CodeForces 455A】Boredom（dp）

最新推荐文章于 2022-05-25 23:39:34 发布

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最新推荐文章于 2022-05-25 23:39:34 发布

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分类专栏： DP CF

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A. Boredom

time limit per test

1 second

memory limit per test

256 megabytes

input

standard input

output

standard output

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 ita_k) and delete it, at that all elements equal toa_k + 1 anda_k - 1 also must be deleted from the sequence. That step bringsa_k points to the player.

Alex is a perfectionist, so he decided to get as many points as possible. Help him.

Input

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, ...,a_n (1 ≤ a_i ≤ 10⁵).

Output

Print a single integer — the maximum number of points that Alex can earn.

Examples

Input

2
1 2

Output

Input

3
1 2 3

Output

Input

9
1 2 1 3 2 2 2 2 3

Output

Note

Consider the third test example. At first step we need to choose any element equal to2. 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 to2. In total we earn 10 points.

题目大意：每次选一个数x，会得到这个数的分x，但会删除所有 x-1 和 x+1，求得分最大

思路：dp，每个数只有选或不选两种情况，如果选，则与它相同的数的得分都会得到，需先统计每个数的个数

#include<iostream>
#include<cstdio>
#define manx 100005
typedef long long ll;
using namespace std;
int main()
{
    ll n,a[manx]={0},dp[manx]={0},x,cot=0;
    scanf("%lld",&n);
    for (int i=0; i<n; i++){
        scanf("%lld",&x);
        cot=max(cot,x);
        a[x]++;
    }
    dp[1]=a[1];
    for (int i=2; i<=cot; i++){
        dp[i]=max(dp[i-1],dp[i-2]+a[i]*i);
    }
    printf("%lld\n",dp[cot]);
    return 0;
}