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: Wrong Answer)

#include<iostream>
using namespace std;
#include<string>
#include<utility>
#include<algorithm>
#include<vector>

int main(){
    int N;
    cin >> N;
    vector<int> A(N);
    for(int i=0;i<N;++i){
        cin >> A[i];
    }
    vector<int> B(N);
    for(int i=0;i<N;++i){
        B[i] = A[i];
    }
    sort(B.begin(),B.end());
    int res[N];
    for(int i=0;i<N;++i){
        res[i]=B[N-1];
    }
    res[N-2]=B[N-2];
    
    for(int i=0;i<N;++i){
        cout << res[i]<<endl;
    }
}