# https://leetcode.com/problems/lexicographical-numbers

from typing import List

class Solution:
    def lexicalOrder(self, n: int) -> List[int]:
        result: List[int] = []
        s: List[int] = [int(x) for x in list(str(n))]
        def iterate(curr: int, length: int, curr_index: int):
            if curr_index >= len(s):
                return
            for num in range(1 if curr_index == 0 else 0, 10):
                new_curr = (curr * 10) + num
                if new_curr > n:
                    break
                result.append(new_curr)
                iterate(new_curr, length + 1, curr_index + 1)

        iterate(0, 0, 0)
        return result