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 <vector>
#include <map>
#include <unordered_map>
#include <queue>
#include <set>
#include <algorithm>
#include <string>
#include <math.h>
#include <limits.h>
#include <stack>
#include <complex>
#include <stdlib.h>
#include <stdio.h>
#include <functional>
#include <cfloat>

#define Rep(i,n) for(int (i)=0;(i)<(int)(n);++(i))
#define Sort(a) sort(a.begin(), a.end())
#define Reverse(a) reverse(a.begin(), a.end())

#define eb emplace_back
#define dbg(x) cout<<#x" = "<<((x))<<endl
#define fs first
#define sc second
     
using namespace std;
     
     
typedef long long ll;
typedef pair<ll, ll> P;
     
     
int main(){
  ll N;

  cin >> N;

#ifdef DEBUG
  cout << "N=" << endl;
#endif

  ll arr[N];
  ll max = 0;
  ll max2 = 0;
  int max_index = 0;
  for(int i = 0; i < N; i++){
    cin >> arr[i];
    if(arr[i] > max){
      max2 = max;
      max = arr[i];
      max_index = i;
    } else if (arr[i] > max2){
      max2 = arr[i];
    }
  }

  for(int i = 0; i < N; i++){
    if(i == max_index) cout << max2 << endl;
    else cout << max << endl;
  }
  
  return 0;
}