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: Time Limit Exceeded)

N = int(input())
A = []
for n in range(N):
    A.append(int(input()))
B = [A[0]]
for n in range(N-1):
    B = B+[max(B[-1], A[n + 1])]
C = [A[-1]]
for n in range(N - 1):
    C = [max(C[0], A[-n - 2])] + C
for n in range(N):
    if n == 0:
        print(C[1])
    elif n == N - 1:
        print(B[N - 2])
    else:
        print(max(B[n-1], C[n+1]))