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

inputFormat

input are integers.

Input

Input is given from Standard Input in the following format:

N A_1 : A_N

outputFormat

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

样例

2
5
5

5
5

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