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Problem
Read two positive natural numbers `n` and `k` (`k <= n`). Generate and
print, in lexicographic order, all subsets of exactly `k` elements of
the set `{1, 2, ..., n}`.
Input format
Input
input.txt
The program reads from standard input two natural numbers, `n` and `k`, separated by a space. - `1 <= k <= n <= 8`
Output format
Output
output.txt
The program prints all combinations, one per line. On each line the elements are written in strictly ascending order, separated by spaces, with no trailing space. Combinations must be printed in lexicographic order.
Example
input
4 2
output
1 2 1 3 1 4 2 3 2 4 3 4
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Sample cases (from the problem)
Sample Case 1
Input
4 2
Expected output
1 2 1 3 1 4 2 3 2 4 3 4
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