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: Accepted)

#include <stdio.h>
int main(){
	int n;
	scanf("%d", &n);
	int a[n];
	for(int i = 0; i < n; i++){
		scanf("%d", &a[i]);
	}

	int max1 = 0;
	int max2 = 0;

	for(int i = 0; i < n; i++){
		if(max2 < a[i]){
			if(max1 < a[i]){
				max2 = max1;
				max1 = a[i];
			}else{
				max2 = a[i];
			}
		}
	}

	for(int i = 0; i < n; i++){
		if(a[i] == max1){
			printf("%d\n", max2);
		}else{
			printf("%d\n", max1);
		}
	}
}