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>
#define rep(i, n) for(int i = 0; i < (n); i++)
#define prtd(var, i) cout << fixed << setprecision(i) << var << endl;
#define ll long long
using namespace std;
#define INF 100000

int main(){
    int n; cin >> n;
    vector<int> a(n);
    rep(i ,n) cin >> a[i];
    int MAX = *max_element(a.begin(), a.end());
    int flag = 0;
    rep(i, n){
        if(a[i] == MAX) flag++;
    }
    int nextMax = 0;
    rep(i, n){
        if(a[i] != MAX && a[i] > nextMax) nextMax = a[i];
    }
    rep(i, n){
        if(a[i] == MAX && flag == 1){
            cout << nextMax << endl;
        }else{
            cout << MAX << endl;
        }
    }
}