codeforces 569B B. Inventory(水题)

题目链接：

B. Inventory

time limit per test

1 second

memory limit per test

256 megabytes

input

standard input

output

standard output

Companies always have a lot of equipment, furniture and other things. All of them should be tracked. To do this, there is an inventory number assigned with each item. It is much easier to create a database by using those numbers and keep the track of everything.

During an audit, you were surprised to find out that the items are not numbered sequentially, and some items even share the same inventory number! There is an urgent need to fix it. You have chosen to make the numbers of the items sequential, starting with 1. Changing a number is quite a time-consuming process, and you would like to make maximum use of the current numbering.

You have been given information on current inventory numbers for n items in the company. Renumber items so that their inventory numbers form a permutation of numbers from 1 to n by changing the number of as few items as possible. Let us remind you that a set of n numbers forms a permutation if all the numbers are in the range from 1 to n, and no two numbers are equal.

Input

The first line contains a single integer n — the number of items (1 ≤ n ≤ 10^5).

The second line contains n numbers a1, a2, ..., an (1 ≤ ai ≤ 10^5) — the initial inventory numbers of the items.

Output

Print n numbers — the final inventory numbers of the items in the order they occur in the input. If there are multiple possible answers, you may print any of them.

Examples

input

3
1 3 2

output

1 3 2 

input

4
2 2 3 3

output

2 1 3 4 

input

1
2

output

1 

Note

In the first test the numeration is already a permutation, so there is no need to change anything.

In the second test there are two pairs of equal numbers, in each pair you need to replace one number.

In the third test you need to replace 2 by 1, as the numbering should start from one.

题意：

把n个数变成1到n这n个数输出,就是把原来重复的和大于n的去掉,补上1到n中没有出现过的;

思路：

水题,直接不想说;

AC代码：

/*2014300227    569B - 26    GNU C++11    Accepted    46 ms    1196 KB*/
#include <bits/stdc++.h>
using namespace std;
const int N=1e5+4;
typedef long long ll;
const double PI=acos(-1.0);
int n,a[N],vis[N];
queue<int>qu;
int main()
{
    scanf("%d",&n);
    for(int i=1;i<=n;i++)
    {
        scanf("%d",&a[i]);
        vis[a[i]]++;
    }
    for(int i=1;i<=n;i++)
    {
        if(!vis[i])qu.push(i);
    }
    for(int i=1;i<=n;i++)
    {
        if(a[i]>n)printf("%d ",qu.front()),qu.pop();
        else {
        if(vis[a[i]]==1)printf("%d ",a[i]);
        else if(vis[a[i]]>1)
        {
            printf("%d ",qu.front());
            qu.pop();
            vis[a[i]]--;
        }
        }
    }

    return 0;
}