Given the number N print all strings of length N consisting of zeros and ones in lexicographic order.
 
Input
Given a single number N (natural, \(1 <= N <= 10\))
 
Imprint
It is necessary to output all strings of length N consisting of zeros and ones in lexicographic order, one per line.
 
 
Examples
| # | 
Input | 
Output | 
| 1 | 
2 | 
00 
01 
10 
11 |