MediumNo. 2348

Number of Zero-Filled Subarrays — LeetCode 2348 Python Solution

Topics
Array, Math
Reading time
2 min

The problem

Given an integer array nums, return the number of subarrays filled with 0. A subarray is a contiguous non-empty sequence of elements within an array.

Example

Input
nums = [1,3,0,0,2,0,0,4]
Output
6
Explanation
There are 4 occurrences of [0] as a subarray.

Python solution

PythonSolution
class Solution:
    def zeroFilledSubarray(self, nums: List[int]) -> int:
        ans = cnt = 0
        for x in nums:
            if x == 0:
                cnt += 1
                ans += cnt
            else:
                cnt = 0
        return ans

Complexity

Time
O(n) or O(1)
Space · auxiliary
O(1)

Pattern: Math and Number Theory

Find the closed form, the invariant, or the modular identity — and skip the loop entirely. LeetCode 2348. Number of Zero-Filled Subarrays 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

Related problems
No.ProblemDifficulty
0048Rotate ImageMedium
0066Plus OneEasy
0189Rotate ArrayMedium
0204Count PrimesMedium
0335Self CrossingHard
0384Shuffle an ArrayMedium

Frequently asked questions

How hard is LeetCode 2348. Number of Zero-Filled Subarrays?

LeetCode 2348. Number of Zero-Filled Subarrays is rated Medium on LeetCode.

What topics does LeetCode 2348. Number of Zero-Filled Subarrays cover?

LeetCode 2348. Number of Zero-Filled Subarrays is tagged Array and Math on LeetCode.

Stuck on problems like this in a live interview?

Stealth Interview is a desktop app for macOS and Windows. It reads the problem off your screen and returns a working solution with a step-by-step explanation and its time and space complexity, invisible to screen sharing.

Free to download. Check it runs on your machine, then pick a plan.