Subtract the Product and Sum of Digits of an Integer — LeetCode 1281 Python Solution

EasyMath
Problem
#1281
Reading time
2 min

The problem

Given an integer number n, return the difference between the product of its digits and the sum of its digits.

Example

Input
n = 234
Output
15
Explanation
Product of digits = 2 * 3 * 4 = 24

Python solution

Python
class Solution:
    def subtractProductAndSum(self, n: int) -> int:
        nums = list(map(int, str(n)))
        return prod(nums) - sum(nums)

Complexity

MeasureComplexity
TimeO(\log n), where n is the given integer
SpaceO(1) auxiliary

Pattern: Math and Number Theory

Find the closed form, the invariant, or the modular identity — and skip the loop entirely. LeetCode 1281. Subtract the Product and Sum of Digits of an Integer is filed here on both counts: the reference solution below belongs to the algorithm family this hub collects, and LeetCode tags it Math.

The math and number theory guide has the Python template for the pattern and the 485 LeetCode problems that use it.

Related problems

Frequently asked questions

How hard is LeetCode 1281. Subtract the Product and Sum of Digits of an Integer?
LeetCode 1281. Subtract the Product and Sum of Digits of an Integer is rated Easy on LeetCode.
What is the time complexity of LeetCode 1281. Subtract the Product and Sum of Digits of an Integer?
The Python solution on this page runs in O(\log n), where n is the given integer.
What is the space complexity of LeetCode 1281. Subtract the Product and Sum of Digits of an Integer?
The Python solution on this page uses O(1) auxiliary space.
What topics does LeetCode 1281. Subtract the Product and Sum of Digits of an Integer cover?
LeetCode 1281. Subtract the Product and Sum of Digits of an Integer is tagged Math on LeetCode.

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