[Solved] You have a list of children each with a greed factor and a list of cookies each with a size.... Which algorithmic approach guarantees the maximum number of content children? | Greedy Algorithms

Greedy Algorithms - Assign Cookies

You have a list of children each with a greed factor and a list of cookies each with a size. You want to assign cookies to children so that each child gets at most one cookie and the cookie size is at least the child's greed factor. Which algorithmic approach guarantees the maximum number of content children?

AGreedy algorithm by sorting greed factors and cookie sizes, then assigning smallest sufficient cookie to each child

BDynamic Programming to try all possible assignments and pick the best

CBrute force nested loops checking every cookie for every child without sorting

DDivide and Conquer by splitting children and cookies and merging results

Step-by-Step Solution

Step 1: Understand problem constraints
Each child can get at most one cookie, and the cookie must satisfy the child's greed factor.
Step 2: Identify optimal approach
Sorting both greed and cookie arrays allows a greedy assignment from smallest greed to smallest sufficient cookie, ensuring maximum matches.
Final Answer:
Option A -> Option A
Quick Check:
Greedy sorting approach is classic for assignment problems [OK]

Quick Trick: Sort both arrays and assign greedily [OK]

Common Mistakes:

MISTAKES

Thinking brute force is needed for optimality
Assuming DP is required
Ignoring sorting leads to suboptimal matches

Trap Explanation:

PITFALL

Brute force looks correct but is inefficient; DP is overkill and unnecessary here.

Interviewer Note:

CONTEXT

Tests if candidate can recognize greedy pattern in assignment problems.

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More Greedy Algorithms Quizzes

Which algorithmic approach guarantees the maximum number of content children?

Step 1: Understand problem constraints

Step 2: Identify optimal approach

Final Answer:

Quick Check:

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