p02971 AtCoder Beginner Contest 134 - Exception Handling
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.

Examples

Input

3
1
4
3


Output

4
3
4


Input

2
5
5


Output

5
5
```python
n=int(input())
a=[int(input()) for _ in [0]*n]
b,c=sorted(a,reverse=True)[0:2]
for A in a:
    if A==b:
        print(c)
    else:
        print(b)
```