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++ (GCC 9.2.1) (judge verdict: Accepted)

#include <bits/stdc++.h>//Carefully Crafted by hetp111
using namespace std;
#define int long long
#define double long double
#define all(v) (v).begin(),(v).end()
#define vi vector<int>
#define vvi vector<vi>
#define pii pair<int,int>
#define vii vector<pii>
#define MOD (1000000007)
#define MOD2 (998244353)
#define MOD3 (1000000009)
#define PI acos(-1)
#define eps (1e-8)
#define INF (1e18)
#define FASTER ios_base::sync_with_stdio(0);cin.tie(0)
template<class A,class B>ostream&operator<<(ostream&out,const pair<A,B>&a){return out<<"("<<a.first<<","<<a.second<<")";}
template<class A>ostream&operator<<(ostream&out,const vector<A>&a){for(const A &it:a)out<<it<<" ";return out;}
template<class A,class B>istream&operator>>(istream&in,pair<A,B>&a){return in>>a.first>>a.second;}
template<class A>istream&operator>>(istream&in,vector<A>&a){for(A &i:a)in>>i;return in;}
ifstream cinn("in.txt");ofstream coutt("out.txt");
int poww(const int &a,int b,const int &m=MOD){if(b==0)return 1;int x=poww(a,b/2,m);x=x*x%m;if(b&1)x=x*a%m;return x;}
int ceil(const int &a,const int &b){return (a+b-1)/b;}
////Read:
//Use __builtin_popcountll for ll;
//Check corner cases, n==1;
//
////Some function:
//__builtin_popcountll(), 

signed main(){
    FASTER;
    int n;cin>>n;
    vi v(n);cin>>v;
    vi nw(all(v));sort(all(nw));
    int mx1=nw[n-1];
    int mx2=nw[n-2];
    for(int i:v){
        if(i==mx1){
            cout<<mx2<<"\n";
        }else cout<<mx1<<"\n";
    }
}