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>
using namespace std;

typedef long long ll;
typedef pair<int, int> P;
typedef pair<ll, ll> Pl;

const int INT_INF = 2147483646;
const ll LL_INF = 9223372036854775807;

bool SecondCompare(const pair<int,int> &a,const pair<int,int> &b)
{
       return a.second<b.second;
}
 
bool SecondCompareDes(const pair<int,int> &a,const pair<int,int> &b)
{
       return a.second>b.second;
}

ll minll(ll a, ll b){
    if(a >= b)  return b;
    else    return a;
}

ll maxll(ll a, ll b){
    if(a >= b)  return a;
    else    return b;
}

const int SIZE = 200000+100;
ll n;
ll a[SIZE],aa[SIZE];

int main(){
    cin >> n;
    for(int i = 0; i < n; i++){
        cin >> a[i];
        aa[i] = a[i];
    }
    sort(aa,aa+n);
    for(int i = 0; i < n; i++){
        if(a[i] == aa[n-1]) cout << aa[n-2] << endl;
        else
        {
            cout << aa[n-1] << endl;
        }
    }
}