Leetcode #1317: Convert Integer to the Sum of Two No-Zero Integers
In this guide, we solve Leetcode #1317 Convert Integer to the Sum of Two No-Zero Integers in Python and focus on the core idea that makes the solution efficient.
You will see the intuition, the step-by-step method, and a clean Python implementation you can use in interviews.
Problem Statement
No-Zero integer is a positive integer that does not contain any 0 in its decimal representation. Given an integer n, return a list of two integers [a, b] where: a and b are No-Zero integers.
Quick Facts
- Difficulty: Easy
- Premium: No
- Tags: Math
Intuition
There is a mathematical invariant or formula that directly leads to the result.
Using math avoids unnecessary loops and reduces complexity.
Approach
Derive the formula or update rule, then compute the answer directly.
Handle edge cases like overflow or zero carefully.
Steps:
- Identify the math relationship.
- Compute the result with a loop or formula.
- Handle edge cases.
Example
Input: n = 2
Output: [1,1]
Explanation: Let a = 1 and b = 1.
Both a and b are no-zero integers, and a + b = 2 = n.
Python Solution
class Solution:
def getNoZeroIntegers(self, n: int) -> List[int]:
for a in count(1):
b = n - a
if "0" not in f"{a}{b}":
return [a, b]
Complexity
The time complexity is , where is the integer given in the problem. The space complexity is .
Edge Cases and Pitfalls
Watch for boundary values, empty inputs, and duplicate values where applicable. If the problem involves ordering or constraints, confirm the invariant is preserved at every step.
Summary
This Python solution focuses on the essential structure of the problem and keeps the implementation interview-friendly while meeting the constraints.