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.

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.

Constraints

• $2 \leq N \leq 200000$
• $1 \leq A_i \leq 200000$
• All values in input are integers.

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

见题面 Input 部分

见题面 Output 部分