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Problem
Read a positive natural number `n`. Generate and print in lexicographic
order all binary strings (composed only of the digits `0` and `1`) of
length `n` that contain no two consecutive `1` digits.
Input format
Input
input.txt
The program reads from standard input a single natural number, `n`. - `1 <= n <= 10`
Output format
Output
output.txt
The program prints all strings that satisfy the condition, one per line, in lexicographic order (with `0` before `1`). The digits of each string are printed with no spaces between them.
Example
input
3
output
000 001 010 100 101
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Sample cases (from the problem)
Sample Case 1
Input
3
Expected output
000 001 010 100 101
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