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 Java8 (OpenJDK 1.8.0) (judge verdict: Accepted)

import java.util.*;
public class Main{
	public static void main(String args[]) {
		Scanner sc=new Scanner(System.in);
		int N=sc.nextInt();
		int A[]=new int[N];
		for(int i=0;i<N;i++) {
			A[i]=sc.nextInt();
		}
		sc.close();
		int high[]=new int[2];
		int highnum;
		high[0]=A[0];
		highnum=0;
		for(int j=1;j<N;j++) {
			if(high[0]<A[j]) {
				high[0]=A[j];
				highnum=j;
			}
		}
		if(high[0]!=A[0]) {
			high[1]=A[0];
		}else {
			high[1]=A[1];
		}
		for(int k=0;k<N;k++) {
			if(high[1]<A[k]&&highnum!=k) {
				high[1]=A[k];
			}
		}
		for(int l=0;l<N;l++) {
			if(l!=highnum) {
			System.out.println(high[0]);
			}else {
			System.out.println(high[1]);
			}
		}
	}
}