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<string>
#include<algorithm>
#include<cmath>
#include<vector>
#include<queue>
#include<set>
#include<map>
#include<cstdio>
using namespace std;

static const int INF=100000;
static const int MOD=1000000007;
typedef long long ll;
typedef pair<int,int> P;

int main(){
    int N;
    cin >> N;
    int a[N];
    int s[N];
    for(int i=0;i<N;i++){
        cin >> a[i];
        s[i]=a[i];
    }
    sort(s,s+N);
    for(int i=0;i<N;i++){
        if(a[i]!=s[N-1]){
            cout << s[N-1] << endl;
        }else if(a[i]==s[N-1]){
            cout << s[N-2] << endl;
        }
    }
}