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 <cstdio>
#include <cstdlib>
#include <cstring>
#include <cmath>
#include <vector>
#include <queue>
#include <iostream>
#include <set>
#include <map>
#include <string>
#include <algorithm>

using namespace std;

typedef long long int ll;
typedef pair<int, int> Pii;
typedef pair<int, double> Pid;
typedef pair<double, int> Pdi;
typedef pair<double, double> Pdd;
typedef pair<ll, ll> P;
typedef pair<P, ll> PP;

const ll mod = 1e9+7;
const ll INF = 2e9;
const double epsilon = 1e-7;
const double PI = 3.1415926535;

int a[200000];
int f[200000];
int b[200000];

int main(void){
    int n; cin >> n;
    for(int i = 0;i < n;i++)cin >> a[i];
    f[0] = a[0];
    for(int i = 1;i < n-1;i++){
        f[i] = max(f[i-1], a[i]);
    }
    b[n-1] = a[n-1];
    for(int i = n-2;i > 0;i--){
        b[i] = max(b[i+1], a[i]);
    }
    printf("%d\n", b[1]);
    for(int i = 1;i < n-1;i++){
        printf("%d\n", max(f[i-1], b[i+1]));
    }
    printf("%d\n", f[n-2]);
	return 0;
}