Convert Integer to the Sum of Two No-Zero Integers Python/Java solution

The typical Python or Java implementation loops through possible values of a, calculates b = n − a, and runs a helper function that checks whether a number contains the digit 0. The first valid pair is returned. The algorithm runs in O(n log n) time and constant space across languages.

How to solve Convert Integer to the Sum of Two No-Zero Integers in O(n)?

You iterate through possible values of a from 1 to n−1 and compute b = n − a. For each pair, check digits using modulus and division to ensure neither number contains 0. The iteration is linear while each check processes digits, resulting in O(n log n) time overall with constant extra space.

What is the best approach for Convert Integer to the Sum of Two No-Zero Integers?

The iterative checking approach is the most reliable solution. Iterate a candidate value a from 1 to n−1, compute b = n − a, and verify that neither number contains the digit 0. Each digit check takes O(log n) time, giving overall O(n log n) time with O(1) space. This deterministic method is simple and commonly expected in coding interviews.

Is Convert Integer to the Sum of Two No-Zero Integers asked at Google/Amazon/Meta?

This problem is categorized as an easy math problem and appears in practice sets used for companies like Google and Amazon. It is more common in online assessments and early interview rounds where candidates are evaluated on basic number manipulation and clean implementation.

What data structure is used in Convert Integer to the Sum of Two No-Zero Integers?

No complex data structures are required. The solution relies on basic integer arithmetic and digit extraction using modulus (%) and division operations. This keeps the algorithm O(1) in space and focused on math-based validation.

What is the time complexity of Convert Integer to the Sum of Two No-Zero Integers?

The standard iterative solution runs in O(n log n) time because up to n candidate pairs may be tested and each digit validation takes O(log n). Space complexity is O(1) since only a few integer variables are used. A randomized method can reduce the expected runtime but still performs the same O(log n) digit checks.

Description Hints 2 Solution Video 2:41

1317. Convert Integer to the Sum of Two No-Zero Integers

Q: Is Convert Integer to the Sum of Two No-Zero Integers easy or hard?

Convert Integer to the Sum of Two No-Zero Integers is classified as an Easy problem. The challenge lies in recognizing that you can simply iterate candidate pairs and validate digits. No advanced algorithms or data structures are required.

Easy59.1% acceptance4 companies

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.
a + b = n

The test cases are generated so that there is at least one valid solution. If there are many valid solutions, you can return any of them.

Example 1:

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.

Example 2:

Input: n = 11
Output: [2,9]
Explanation: Let a = 2 and b = 9.
Both a and b are no-zero integers, and a + b = 11 = n.
Note that there are other valid answers as [8, 3] that can be accepted.

Constraints:

2 <= n <= 10⁴

Asked at 4 companies

Hrt

Google Microsoft Amazon

Topics

Math

Hints open one at a time

Hint 1

Loop through all elements from 1 to n.

Hint 2

Choose A = i and B = n - i then check if A and B are both No-Zero integers.

2:41

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1class Solution:
2    def getNoZeroIntegers(self, n: int) -> List[int]:
3        

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