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>
#include <math.h>
#include <algorithm>
#include <queue>
#include <map>
#include <list>
//#include <bits/stdc++.h>


using namespace std;

#define FOR(i,a,b) for(int i=(a),i##formax=(b);i<i##formax;i++)
typedef long long ll;

int main(){
    ll n;
    ll mx=0,mx2=-1;
    cin >> n;
    vector<ll> a(n);
    for(ll i=0;i<n;i++){
        cin >> a[i];
        if(mx<a[i]){mx=a[i];}
        if(mx2<a[i]<=mx){mx2=a[i];}
        }
    for(ll j=0;j<n;j++){
        if(a[j]==mx){cout  << mx2<<endl;}
        else{cout << mx  << endl;}
    }

    return 0;
}