codeforces624b Making a String

 

Time Limit:1000MS     Memory Limit:262144KB     64bit IO Format:%I64d & %I64u

Submit Status

Description

You are given an alphabet consisting of n letters, your task is to make a string of the maximum possible length so that the following conditions are satisfied:

• the i-th letter occurs in the string no more than a_i times;
• the number of occurrences of each letter in the string must be distinct for all the letters that occurred in the string at least once.

Input

The first line of the input contains a single integer n (2  ≤  n  ≤  26) — the number of letters in the alphabet.

The next line contains n integers a_i (1 ≤ a_i ≤ 10⁹) — i-th of these integers gives the limitation on the number of occurrences of the i-th character in the string.

Output

Print a single integer — the maximum length of the string that meets all the requirements.

Sample Input

Input

3
2 5 5

Output

11

Input

3
1 1 2

Output

3

Hint

For convenience let's consider an alphabet consisting of three letters: "a", "b", "c". In the first sample, some of the optimal strings are: "cccaabbccbb", "aabcbcbcbcb". In the second sample some of the optimal strings are: "acc", "cbc".

#include<stdio.h>
#include<iostream>
#include<algorithm>
using namespace std;
int a[];
bool cmp(int a,int b){
    return a>b;
}
int main(){
    int n;
    scanf("%d",&n);
    for(int i=;i<n;i++){
        scanf("%d",&a[i]);
    }
    int tmp=;
    long long ans=;
    sort(a,a+n,cmp);
    ans+=a[];
    tmp=a[];
    for(int i=;i<n;i++){
        if(a[i]>=tmp) tmp=tmp-;
        else tmp=a[i];
        if(tmp<=) break;
        ans+=tmp;
    }
    printf("%I64d\n",ans);
    return ;
}