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: Accepted)

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

max1 = max(A[0], A[1])
max2 = min(A[1], A[0])
if A[0] > A[1]:
    maxi1 = 0
    maxi2 = 1
else:
    maxi1 = 1
    maxi2 = 0


for i, a in enumerate(A[2:], 2):
    if max1 < a:
        max2 = max1
        maxi2 = maxi1
        max1 = a
        maxi1 = i
    elif max2 < a:
        max2 = a
        maxi2 = i

for i in range(N):
    if i != maxi1:
        print(max1)
    else:
        print(max2)