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 <stdio.h>
#include <cmath>
#include <cfloat>
#include <algorithm>
#include <numeric>
#include <vector>
#include <iterator>
#include <set>
using namespace std;

const double PI=acos(-1);

int main(){
    int n;
    cin >> n;

    vector<int> a(n, 0), b(n, 0);
    for(int i = 0; i < n; i++){
        cin >> a[i];
    }
    b = a;
    sort(b.begin(), b.end(), greater<int>());
    for(int i = 0; i < n; i++){
        if(a[i] == b[0]) cout << b[1] << endl;
        else cout << b[0] << endl;
    }
    return 0;
}