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 <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define rep(i,N) for(ll i=0;i<N;++i)
const ll INF = 1LL<<60;

int main(){
    ll N; cin >> N;
    vector<ll> A(N),sorted_A(N);

    rep(i,N){
        ll a; cin >> a;
        sorted_A[i] = a;
        A[i] = a;
    }
    sort(sorted_A.begin(),sorted_A.end(),greater<ll>());

    bool bl = (sorted_A[0] == sorted_A[1]);
    for(auto it : A){
        if(bl){
            cout << sorted_A[0] << endl;
        }else if(it != sorted_A[0]){
            cout << sorted_A[0] << endl;
        }else cout << sorted_A[1] << endl;
    }
}