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: Wrong Answer)

#include<stdio.h>

int main(){

    int N;
    scanf("%d", &N);

    int A[N];
    for (int i = 0; i < N; i+=1){
        scanf("%d", &A[i]);
    }

    int max = 1;
    int max_index = 1;
    int max_number = 1;
    int second_max = 1;

    for(int i = 0; i < N; i += 1){

        if(A[i] > max){
            max = A[i];
            max_index = i;
            max_number = 1;
        }else if(A[i] == max){
            max_number += 1;
        }else if((A[i] < max) && (A[i] > second_max)){
            second_max = A[i];
        }
    }

    if(max_number > 1){
        for(int i = 0; i < N; i+= 1){
            printf("%d\n", max);
        }
    }else{
        for(int i = 0; i < N; i += 1){

            if(i == max_index){
                printf("%d\n", second_max);
            }else{
                printf("%d\n", max);
            }
        }
    }

    return 0;
}