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: Time Limit Exceeded)

#include <algorithm>
#include <bits/stdc++.h>
#include<iostream>
#include<string>
using namespace std;
#define rep(i, n) for (int i = 0; i <(int)(n); i++)
#define all(x) (x).begin(), (x).end()
#define ll long long
const ll INF = 1<<29;
int main(){
ll n;cin>>n;
vector<ll> a(n);
rep(i,n)cin>>a[i];
ll amax=0;
rep(i,n){
 ll pre=a[i];
 a[i]=0;
 ll amax=*max_element(all(a));
 cout<<amax<<endl;
 a[i]=pre;
}
}