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 (Clang 3.8.0) (judge verdict: Accepted)

#include <stdio.h>
#include <string.h>
#include <limits.h>
#include <stdlib.h>
#include <math.h>

int main(void)
{
	long int i, j;
	long int n;
	long int flg;
	long int count = 1;
	long int max = 0;
	long int tugi = 0;
	long int index_max;
	long int index_tugi;
	long int a[200000];
	
	scanf("%ld", &n);
	
	scanf("%ld%ld", &a[0], &a[1]);
	
	if(a[0] == a[1]) {
		max = tugi = a[0];
		count = 2;
	} else if(a[0] > a[1]) {
		max = a[0];
		tugi = a[1];
		index_max = 0;
		index_tugi = 1;
	} else {
		max = a[1];
		tugi = a[0];
		index_max = 1;
		index_tugi = 0;
	}
	
	for(i = 2; i < n; i++) {
		scanf("%ld", &a[i]);
		if(max < a[i]) {
			tugi = max;
			max = a[i];
			count = 1;
			index_tugi = index_max;
			index_max = i;
		} else if(max == a[i]) {
			count++;
		} else if(tugi < a[i]) {
			tugi = a[i];
			index_tugi = i;
		}
	}
	
	if(count == 1) {
		for(i = 0; i < n; i++) {
			if(i == index_max) {
				printf("%ld\n", tugi);
			} else {
				printf("%ld\n", max);;
			}
		}
	} else {
		for(i = 0; i < n; i++) {
			printf("%ld\n", max);
		}
	}
	
	return 0;
}