"""
A permutation is an ordered arrangement of objects.
For example, 3124 is one possible permutation of the digits 1, 2, 3 and 4.
If all of the permutations are listed numerically or alphabetically, we call it lexicographic order.
The lexicographic permutations of 0, 1 and 2 are:
012   021   102   120   201   210

What is the millionth lexicographic permutation of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9?
"""

from itertools import permutations


def ordered_permutations(n: int) -> list[int]:
    digits = list(range(10))
    all_permutations = permutations(digits)
    for _ in range(n - 1):
        next(all_permutations)
    return next(all_permutations)


def main():
    n = 1000000
    result = ordered_permutations(n)
    print("".join(map(str, result)))


if __name__ == "__main__":
    main()