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 (GCC 5.4.1) (judge verdict: Time Limit Exceeded)

#include <stdio.h>

int main(void){
    
    int N;
    int A[200000];

    scanf("%d", &N);
    for(int i=1; i <= N; i++){
        scanf("%d", &A[i]);
    }

    for(int j=1; j<=N; j++){
        int max = 0;
        int k=1;
        while(k < j){
            if(A[k] >= max){
                max=A[k];
            }
            k++;
        }
        k++;
        while(k <= N){
            if(A[k] >= max){
                max=A[k];
            }
            k++;
        }
        printf("%d\n", max);
    }

    return 0;
}