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>
#define rep(i,n) for (int i = 0; i < (n); ++i)
using namespace std;
using ll = long long;
using vi=vector<int>;
using P = pair<int,int>;
using Graph = vector<vector<int>>;
template<typename T> void ndarray(vector<T> &vec, int len) { vec.resize(len); }
template<typename T, typename... Args> void ndarray(vector<T> &vec, int len, Args... args) { vec.resize(len); for (auto &v : vec) ndarray(v, args...); }

int main(){
    cin.tie(0);
    ios::sync_with_stdio(false);
    
    int n;
    cin >> n;
    vector<int> a(n),b(n);
    rep(i,n){
        int x; cin >> x;
        a[i]=b[i]=x;
    }
    sort(b.begin(),b.end());
    reverse(b.begin(),b.end());
    if(b[0]==b[1]){
        rep(i,n) cout << b[0] << "\n";
    }
    if(b[0]==b[1]) return 0;
    int maxi;
    rep(i,n){
        if(a[i]==b[0]) maxi=i;
    }
    rep(i,n){
        if(i!=maxi){
            cout << b[0] << "\n";
        }else{
            cout << b[1] << "\n";
        }
    }
    return 0;
}