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(void){
	int n,a[200001],i,max1,max2,index1,index2;
	scanf("%d",&n);
	scanf("%d",&a[1]); max1=a[1]; index1=1;
	scanf("%d",&a[2]);
	if(a[1]<a[2]){
		max2=max1;
		max1=a[2];
		index2=index1;
		index1=2;
	}else{
		max2=a[2];
		index2=2;
	}
	for(i=3;i<=n;i++){
		scanf("%d",&a[i]);
		if(a[i]>max1){
			max2=max1;
			max1=a[i];
			index2=index1;
			index1=i;
		}else if(a[i]>max2){
			max2=a[i];
			index2=i;
		}
	}
	
	for(i=1;i<=n;i++){
		if(i==index1)printf("%d\n",max2);
		else printf("%d\n",max1);
	}
		
	return 0;
}