Problem Description
Given an integer n, return a list of two integers [a, b] where both a and b are positive integers that do not contain any digit '0' in their decimal representation, and a + b = n.
Key Insights
- A "No-Zero integer" is defined as a positive integer that does not contain the digit '0'.
- The problem requires finding two integers that sum to the given number n while satisfying the no-zero condition.
- Since n is guaranteed to be at least 2, there are always valid pairs of integers to be found.
- A straightforward approach is to iterate through possible values of a and compute b as n - a, checking for the no-zero condition.
Space and Time Complexity
Time Complexity: O(n) - In the worst case, we may need to check all integers up to n. Space Complexity: O(1) - We are using a constant amount of space for storing the result.
Solution
The solution involves iterating through integers starting from 1. For each integer a, we calculate b as n - a. We then check if both a and b are no-zero integers. The algorithm will stop when a valid pair is found. This approach is efficient given the constraints.