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

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