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)

#define _CRT_SECURE_NO_WARNINGS
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <string.h>




int main()
{
	int N, a[200000],i,j;

	scanf("%d", &N);

	for (i = 0; i < N; i++) scanf("%d", &a[i]);

	int max = 0;

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

		if (a[i] > max) {
			max = a[i];
			j = i;
		}
	}

	int max2 = 0;

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

		if (a[i] > max2 && i!=j) {
			max2 = a[i];
			
		}
	}


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

		if (i == j) {
			printf("%d\n", max2);

		}else printf("%d\n", max);
	}

}