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 _GLIBCXX_DEBUG
using namespace std;

int main() {
  int n;
  cin >> n;
  vector<int> a(n);
  for(int i=0; i<n; i++){
    cin >> a[i];
  }
  
  int max = 0;
  int secmax = 0;
  
  for(int i=0; i<n; i++){
    if(a[i] >= max) max = a[i];
    if(a[i] >= secmax && a[i] < max) secmax = a[i];
    if(i == n-1 && secmax == 0) secmax = a[i-1];
  }
  
  int count = 0;
  
  for(int i=0; i<n; i++){
    if(a[i] == max) count++;
  }
  
  for(int i=0; i<n; i++){
    if(count == 1){
      if(a[i] == max){
      cout << secmax << endl;
      }
      else{
        cout << max << endl;
      }
    }
    else{
      cout << max << endl;
    }
  }
    
	return 0;
}