Problem Description
Given an array candies where each element represents the number of candies a kid currently has, and an integer extraCandies, determine for each kid whether giving them all the extraCandies would result in them having the greatest number of candies among all kids. The output is a boolean array where each element is true if after adding extraCandies the kid's total equals or exceeds the maximum candies any kid originally has, and false otherwise.
Key Insights
- Identify the current maximum number of candies among all kids.
- For each kid, check if candies[i] + extraCandies is at least as large as the identified maximum.
- Use a simple iteration over the array to build the resulting boolean list.
Space and Time Complexity
Time Complexity: O(n), where n is the number of kids, due to iterating over the candies array twice (once to find the maximum, and once to build the result). Space Complexity: O(n), for storing the resulting boolean array.
Solution
The approach starts by scanning the candies array to find the current maximum number of candies any kid has. Then, for every kid, we add extraCandies to their current count and compare it with the maximum. If the sum is greater than or equal to the maximum, the corresponding element in the result boolean array is set to true, otherwise false. The key is handling two linear traversals of the array, ensuring the solution is both efficient and easy to understand.
Code Solutions
Below are sample implementations in Python, JavaScript, C++, and Java with line-by-line comments.