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 Python (3.4.3) (judge verdict: Accepted)

N = int(input())
A = [int(input()) for i in range(N)]


sorted_A = list(reversed(sorted(A)))

maxiuam = sorted_A[0]

is_there_tow_maximum = A.count(maxiuam) >= 2
if is_there_tow_maximum:
    answer = (str(maxiuam) + "\n") * N
    print(answer)
    exit()

second = None
for Ai in sorted_A:
    if Ai < maxiuam:
        second = Ai
        break

answer = [second if Ai == maxiuam else maxiuam for Ai in A]
answer = "\n".join(map(str, answer))

print(answer)