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Solution: Assign Cookies

Explore how to solve the Assign Cookies problem using a greedy algorithm. Understand how sorting and two-pointer techniques help maximize the number of content children by efficiently matching cookie sizes to greed factors. Learn to evaluate time and space complexity for this approach.

Statement

You are given two integer arrays:

  1. greedFactors: This array represents the minimum cookie size required for each child to be content. Specifically, greedFactors[i] denotes the minimum cookie size that child i will accept to be satisfied.

  2. cookieSizes: This array represents the sizes of the available cookies. For example, cookieSizes[j] denotes the size of cookie j.

Your objective is to distribute the cookies in a way that maximizes the number of content children. A child i is content if they receive a cookie that is at least as large as their greed factor, i.e., cookieSizes[j] >= greedFactors[i]. Each child can be assigned at most one cookie, which can only be given to one child.

Write an algorithm to maximize the number of children who can be content by assigning available cookies appropriately. ...