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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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📚 Call Stack
main() line 1
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