Leetcode 2588: Count the Number of Beautiful Subarrays

grid47
grid47
Exploring patterns and algorithms
Feb 22, 2024 5 min read

You are given a 0-indexed integer array nums. In one operation, you can choose two indices and subtract a power of two from both elements at those indices. A subarray is considered beautiful if you can make all of its elements equal to zero by applying the operation any number of times. Your task is to return the number of beautiful subarrays in nums.
Problem
Approach
Steps
Complexity
Input: The input consists of an integer array `nums`.
Example: For example, `nums = [6, 4, 5, 3, 4]`.
Constraints:
• 1 <= nums.length <= 10^5
• 0 <= nums[i] <= 10^6
Output: The output is an integer that represents the number of beautiful subarrays in the array `nums`.
Example: For `nums = [6, 4, 5, 3, 4]`, the output is `3`.
Constraints:
• The result will always be a valid integer.
Goal: The goal is to find the number of subarrays that can be made equal to 0 by applying the specified operations.
Steps:
• 1. Loop through all possible subarrays in `nums`.
• 2. For each subarray, check if it can be transformed into an array of zeros by applying the operations.
• 3. Count the number of such subarrays and return the count.
Goal: The array contains between 1 and 10^5 integers, and each integer is between 0 and 10^6.
Steps:
• 1 <= nums.length <= 10^5
• 0 <= nums[i] <= 10^6
Assumptions:
• The input array contains valid integers within the given range.
Input: For `nums = [6, 4, 5, 3, 4]`
Explanation: The beautiful subarrays are `[6, 4]`, `[6, 4, 5, 3, 4]`, and `[4, 5, 3]` as each can become all zeros after applying the operations.

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