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Solve Count Special Subarrays using Lua Language

Solve Count Special Subarrays using Lua to enhance your skills with lua coding practice , master coding concepts, and prepare for interviews with practical exercises and detailed solutions.

Count Special Subarrays

Difficulty : Medium

Categories :

  • Arrays

Given an array arr of integers and a number k, you need to find the count of special subarrays. A subarray is considered special if:

  • The sum of elements in the subarray is divisible by k
  • The subarray contains at least one negative number
  • The length of the subarray is at least 2

Return the count of special subarrays.

Constraints:

  • 1 ≤ arr.length ≤ 10^4
  • -10^3 ≤ arr[i] ≤ 10^3
  • 1 ≤ k ≤ 100

Examples:

Input: arr = [1,-2,3,4], k = 3
Output: 2
Explanation: Special subarrays are [1,-2,3] and [-2,3,4]
Both have sum divisible by 3 and contain negative number -2
Input: arr = [-1,-2,-3], k = 2
Output: 3
Explanation: All subarrays of length ≥2 are special:
[-1,-2], [-2,-3], [-1,-2,-3]

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Strings A sequence of characters used to represent text, with problems focused on manipulation, searching, and pattern matching.

Arrays A collection of elements stored in contiguous memory locations, allowing efficient random access and manipulation.

Linked Lists A linear data structure where each element (node) points to the next, offering dynamic memory allocation and efficient insertions/deletions.

Trees A hierarchical data structure with nodes connected by edges, used in applications like databases, file systems, and parsing.

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Dynamic Programming An optimization technique that solves problems by breaking them into overlapping subproblems and storing their results.

Backtracking A problem-solving method that explores all possibilities recursively, backtracking when a solution is not feasible.

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Searching Algorithms Methods for finding elements in a dataset, such as binary search, linear search, and graph traversal techniques.

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Recursion A programming technique where a function calls itself to solve smaller instances of the same problem, often used in divide-and-conquer approaches.

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