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())
A = [int(input()) for i in range(N)]
 
 
left_max = [-1] * N
right_max = [0]
all = sum(A)
left_max[0] = A[0]
right_max[0] = A[-1]
for i in range(1, N):
        left_max[i] = max(left_max[i-1], A[i])
for i in reversed(range(0, N-1)):
        right_max.insert(0, max(right_max[0], A[i]))
 
 
print(right_max[1])
for i in range(1,N-1):
        print(max(left_max[i-1], right_max[i+1]))
print(left_max[-2])