Problem:
Score : 300 points

Problem Statement

You are given a sequence of length N: A_1, A_2, ..., A_N.
For each integer i between 1 and N (inclusive), answer the following question:

Find the maximum value among the N-1 elements other than A_i in the sequence.

Constraints

2 \leq N \leq 200000

1 \leq A_i \leq 200000

All values in input are integers.

Input

Input is given from Standard Input in the following format:

N
A_1
:
A_N

Output

Print N lines. The i-th line (1 \leq i \leq N) should contain the maximum value among the N-1 elements other than A_i in the sequence.

Sample Input 1

3
1
4
3

Sample Output 1

4
3
4

The maximum value among the two elements other than A_1, that is, A_2 = 4 and A_3 = 3, is 4.

The maximum value among the two elements other than A_2, that is, A_1 = 1 and A_3 = 3, is 3.

The maximum value among the two elements other than A_3, that is, A_1 = 1 and A_2 = 4, is 4.

Sample Input 2

2
5
5

Sample Output 2

5
5

Solution in C++14 (GCC 5.4.1) (judge verdict: Accepted)

#include <iostream>
#include <vector> 
#include <cmath>
#include <algorithm>
#include <set>
#include <string>
#include <map>
#include <cerrno>
#include <stdio.h>
#include <stdlib.h>
#include <cfenv>
#include <stack>
#include <math.h>
#include <iomanip>
#include <limits>
#include <queue>
#define ll long long int
#define pb push_back
#define mp make_pair

using namespace std;

int main(){
    int n;
    cin >> n;
    vector<int> vec(n);

    for(int i=0;i<n;i++){
        cin >> vec[i];
    }
    int max = vec[0],max_n = 0;
    for(int i=0;i<n;i++){
        if(max < vec[i]){
            max = vec[i];
            max_n = i;
        }
    }

    sort(vec.rbegin(),vec.rend());

    for(int i=0;i<n;i++){
        if(i != max_n){
            cout << max << endl;
        }
        else{
            cout << vec[1] << endl;
        }
    }
    return 0;
}