How do you solve Convert Integer to the Sum of Two No-Zero Integers on LeetCode?

Convert Integer to the Sum of Two No-Zero Integers (LeetCode #1317) can be solved using Brute Force or Optimal Solution. The optimal approach is Optimal Solution with O(1) time complexity and O(1) space complexity. Key insight: Choosing small integers can help ensure no-zero conditions.

What is the brute force solution for Convert Integer to the Sum of Two No-Zero Integers?

The brute force approach for Convert Integer to the Sum of Two No-Zero Integers is Brute Force, with O(n²) time complexity and O(1) space complexity. The brute-force approach involves checking every possible pair of integers that sum up to n. We simply iterate through all integers from 1 to n-1, calculating the complementary integer and checking if both are no-zero integers. The optimal Optimal Solution approach improves this to O(1).

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

Convert Integer to the Sum of Two No-Zero Integers uses the following concepts: Math. The recommended patterns to study are: Math, Greedy.

What are the interview tips for Convert Integer to the Sum of Two No-Zero Integers?

Think about edge cases, like the smallest values of n. Consider if there are patterns or properties that can simplify the problem. Don't forget to validate your outputs against the problem constraints.

What are common mistakes when solving Convert Integer to the Sum of Two No-Zero Integers?

Not checking both integers for '0' properly. Assuming all pairs must be checked without considering direct construction.

#1317

Convert Integer to the Sum of Two No-Zero Integers

Easy

MathMathGreedy

LeetCode ↗

Approaches

Brute ForceOptimal

Complexity Comparison

	Brute Force	Optimal Solution★
Time	O(n²)	O(1)
Space	O(1)	O(1)

💡

Intuition

Time O(1)Space O(1)

Instead of checking all pairs, we can directly construct two no-zero integers. We can choose one integer as a small number (like 1) and the other as the remainder. This guarantees both integers will be no-zero if n > 2.

⚙️

Algorithm

5 steps

1Step 1: Choose a = 1.
2Step 2: Calculate b as n - 1.
3Step 3: Check if b contains '0'.
4Step 4: If b contains '0', try a = 2 and b = n - 2, and check again.
5Step 5: Return the first valid pair found.

solution.py9 lines

1# Full working Python code
2
3def no_zero_sum_optimal(n):
4    a = 1
5    b = n - a
6    if '0' in str(b):
7        a = 2
8        b = n - a
9    return [a, b]

ℹ

Complexity note: The optimal solution runs in constant time O(1) because it involves a fixed number of operations regardless of the input size. We only check one or two pairs.

1Choosing small integers can help ensure no-zero conditions.
2Direct construction of integers is often more efficient than exhaustive search.

Solutions and explanations are original Tejav content. Problem titles © LeetCode — use the LeetCode button above for the full problem statement.