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++ (GCC 9.2.1) (judge verdict: Accepted)

#include <bits/stdc++.h> 
#include <vector>
#define rep(i,n) for (int i = 0; i < (n); ++i)
#define size_of_array(array) (sizeof(array)/sizeof(array[0]))
using ll =long long;
using namespace std;
using Graph=vector<vector<int>>;
using Field=vector<vector<int>>;

int main(){
    int n;
    cin>>n;
    vector<int> a(n);
    int m1;
    rep(i,n){
        cin>>a[i];
        m1=max(m1,a[i]);
    }

    int m2=0;
    int cnt=0;
    rep(i,n){
        if(a[i]==m1)++cnt;
        else m2=max(m2,a[i]);
    }

    rep(i,n){
        if(a[i]!=m1){
            cout<<m1<<endl;
        }else if(cnt>1){
            cout<<m1<<endl;
        }else{
            cout<<m2<<endl;
        }
    }

}