C. New Year Ratings Change-优快云博客

一个知名的互联网资源网站X计划为所有访客分配新年评级。已知有n个用户，每个用户期望获得至少ai的评级。网站管理员希望分配的评级既独特又使总和尽可能小。找出最佳的评级分配方案。

链接：https://codeforces.com/contest/379/problem/C

One very well-known internet resource site (let's call it X) has come up with a New Year adventure. Specifically, they decided to give ratings to all visitors.

There are n users on the site, for each user we know the rating value he wants to get as a New Year Present. We know that user i wants to get at least ai rating units as a present.

The X site is administered by very creative and thrifty people. On the one hand, they want to give distinct ratings and on the other hand, the total sum of the ratings in the present must be as small as possible.

Help site X cope with the challenging task of rating distribution. Find the optimal distribution.

Input

The first line contains integer n (1 ≤ n ≤ 3·105) — the number of users on the site. The next line contains integer sequence a1, a2, ..., an (1 ≤ ai ≤ 109).

Output

Print a sequence of integers b1, b2, ..., bn. Number bi means that user i gets bi of rating as a present. The printed sequence must meet the problem conditions.

If there are multiple optimal solutions, print any of them.

Examples

input

Copy

3
5 1 1

output

Copy

5 1 2

input

Copy

1
1000000000

output

Copy

1000000000

代码：

#include<bits/stdc++.h>
using namespace std;
long long t,n,k,s,tip;
map<long long ,long long >m;
struct node{
	long long id,x,y;
}a[10000001];
bool cmp(node p,node q)
{
	return p.x<q.x;
}
bool bmp(node p,node q)
{
	return p.id<q.id;
}
int main() 
{
	cin>>n;
	for(int i=1;i<=n;i++)
	{
		cin>>a[i].x;
		a[i].id=i;
	}
	sort(a+1,a+1+n,cmp);
	long long ans=0;
	for(int i=1;i<=n;i++)
	{
		if(a[i].x<=ans)
		{
			a[i].x=ans;
			ans++;
		}
		else
		ans=a[i].x+1;
		a[i].y=a[i].x;
	}
	sort(a+1,a+1+n,bmp);
	for(int i=1;i<=n;i++)
	{
		cout<<a[i].y<<" ";
	}
}