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 task "C" // ABC134
#define ALL(v) (v).begin(), (v).end()
#define rep(i, l, r) for (int i = (l); i <= (r); ++i)
#define Rep(i, r, l) for (int i = (r); i >= (l); --i)
#define pb push_back
#define F first
#define S second
#define by(x) [](const auto& a, const auto& b) { return a.x < b.x; } // sort(arr, arr + N, by(a));

using ll = long long;
using ld = long double;
using ull = unsigned long long;

using namespace std;

typedef pair<int,int> ii;
typedef vector<int> vi;
typedef vector<ii> vii;
typedef vector<ll> vl;

// Limit

// Struct

// Variables
int n,a[200005],mx=-200003,mxi;
// Function

int main()
{
	//freopen(task".in","r",stdin);
	//freopen(task".out","w",stdout);
	ios_base::sync_with_stdio(false);cin.tie(nullptr);
	cin >> n;
	rep(i,1,n)
	{
	    cin >> a[i];
	    if (mx<a[i])
        {
            mx=a[i];
            mxi=i;
        }
	}
	sort(a+1,a+1+n);
	rep(i,1,n) if (i!=mxi) cout << mx << '\n'; else cout << a[n-1] << '\n';
}