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Problem
Read a positive natural number `n`. Generate and print, in lexicographic
order, all permutations of the set `{1, 2, ..., n}`.
Input format
Input
input.txt
The program reads from standard input a single natural number, `n`. - `1 <= n <= 7`
Output format
Output
output.txt
The program prints to standard output all permutations of `{1, 2, ..., n}`, one per line. On each line, the values are separated by spaces with no trailing space. Permutations must be printed in lexicographic order (the first element has priority; ties are broken by comparing the second element, and so on).
Example
input
3
output
1 2 3 1 3 2 2 1 3 2 3 1 3 1 2 3 2 1
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Sample cases (from the problem)
Sample Case 1
Input
3
Expected output
1 2 3 1 3 2 2 1 3 2 3 1 3 1 2 3 2 1
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