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 PyPy3 (2.4.0) (judge verdict: Time Limit Exceeded)

N = int(input())

List = []
for n in range(N):
	List.append(int(input()))

if N%2!=0:
	for i in range(N):
		Ni = List[0]
		List.remove(List[0])
		l_max = max(List[0:int(N/2)])
		r_max = max(List[int(N/2):N])
		if l_max>=r_max:
			print(l_max)
		else:
			print(r_max)
		List.append(Ni)
            
         
else:
	for i in range(N):
		Ni = List[0]
		List.remove(List[0])
		l_max = max(List[0:int(N//2)])
		r_max = max(List[int((N//2)-1):N])
		if l_max>=r_max:
			print(l_max)
		else:
			print(r_max)
		List.append(Ni)