N Bit Grey Code

easy
1. You are given a number N.
2. You have to generate and print all n-bit grey code sequences.
3. In a grey code sequence, successive terms differ by one bit.
4. Check sample output for more information.

Input Format

A number N

Output Format

Check the sample ouput and question video.

Constraints

1 <= N <= 10

Notice

Try First, Check Solution later

1. You should first read the question and watch the question video.
2. Think of a solution approach, then try and submit the question on editor tab.
3. We strongly advise you to watch the solution video for prescribed approach.

Example

Input
3
Output
0 0 0 
0 0 1 
0 1 1 
0 1 0 
1 1 0 
1 1 1 
1 0 1 
1 0 0 
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