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<string>
#include<math.h>
#include<vector>
#include<algorithm>
#include<array>
#include<functional>
#include<iomanip>
#include<ios>
using namespace std;
#define FOR(i,n) for(int (i)=0;(i)<(n);(i)++)
const long long int mod=1e9+7;
typedef long long ll;

ll gcd(ll a, ll b) {
  if(a < b) return gcd(b, a);
  ll r;
  while ((r=a%b)) {
    a = b;
    b = r;
  }
  return b;
}

bool issq(int n){
    int i=1;
    while(i*i<=n){
        if(i*i==n){
            return true;
        }
        i++;
    }
    return false;
}
int main(){
    int N;
    cin >>N;
    int A[N];
    int max=-1,second=-1;
    FOR(i,N){
        cin >>A[i];
        if(max<A[i]){
            second=max;
            max=A[i];
        }else if(second<A[i]){
            second=A[i];
        }
    }
    FOR(i,N){
        if(A[i]==max){
            cout<<second<<endl;
        }else{
            cout<<max<<endl;
        }
    }
    //cout <<ans<<endl;
    return 0;
}