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 <bitset>
#include <iomanip>
#include <string>
#include <vector>
#include <cmath>
#include <queue>
#include <algorithm>

using namespace std;

#define ll long long
#define vecll vector<long long>
#define vec2ll vector<vector<long long>>
#define vecbool vector<bool>
#define vecpairll vector<pair<long long,long long>>
#define forll(s,a,b) for(long long s = a;s < b;s++)
#define forllde(s,a) for(long long s = a;s > 0;s--)

int main()
{
	ll n,ans=0,max=0,num;

	cin >> n;
	
	vecll a(n);

	forll(i, 0, n)
		cin >> a[i];

	vecll b = a;

	sort(b.begin(), b.end(), greater<ll>());

	forll(i, 0, n)
		if (a[i] == b[0])
			cout << b[1] << "\n";
		else
			cout << b[0] << "\n";
}