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 <map>
using namespace std;
int main(void){
    int n, a[200000], max_a;
    map<int, int> p;
    cin >> n;
    for(int i=0;i<n;i++){
        cin >> a[i];
        p[a[i]]++;
    }
    auto itr = p.end();
    itr--;
    max_a = itr->first;
    bool flag = false;
    if(itr->second > 1)flag = true;
    for(int i=0;i<n;i++){
        if(flag || a[i] < max_a){
            cout << max_a << endl;
        }else{
            itr = p.end();
            itr--;
            itr--;
            cout << (itr->first) << endl;
        }
    }
}