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>
#include<math.h>
#include<stdlib.h>
int main () {
	int n, i, j, k;
	long max;
	long *a;
	// int a[200000] = {0};
	scanf("%d", &n);
	a = (long *)malloc(n * sizeof(long));
	for(i = 0; i < n; ++i) scanf("%ld", &a[i]);
	for(i = 0; i < n; ++i){
		// max = 0;
		if(k == i || i == 0){
			max = 0;
			for(j = 0; j < n; ++j){
				if(i == j){
					continue;
				}
				if(max < a[j] && a[j] != n){
					max = a[j];
					k = j;
				}
			}
		}
		printf("%ld\n", max);
	}
	return 0;
}