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Suppose now each cookie can be assigned to multiple children (reusable cookies). Which approach best handles this variant, and why does the original greedy solution fail?

hard🎤 Interviewer Follow-up Q10 of Q15

Greedy Algorithms - Assign Cookies

Suppose now each cookie can be assigned to multiple children (reusable cookies). Which approach best handles this variant, and why does the original greedy solution fail?

AUse the original greedy with two pointers; it still works since cookies are reusable

BUse dynamic programming to track multiple assignments per cookie

CUse a frequency map of cookie sizes and assign greed factors accordingly without moving cookie pointer

DUse backtracking to try all possible assignments since greedy fails

Step-by-Step Solution

Solution:

Step 1: Understand cookie reuse impact
Original greedy assumes each cookie assigned once; reuse breaks this assumption.
Step 2: Analyze approach suitability
Greedy fails as it cannot track multiple assignments per cookie; backtracking explores all assignments.
Step 3: Conclude best approach
Backtracking or advanced methods needed to handle reuse; greedy no longer optimal.
Final Answer:
Option D -> Option D
Quick Check:
Greedy fails with reuse; backtracking handles all possibilities [OK]

Quick Trick: Greedy fails with reuse; backtracking needed [OK]

Common Mistakes:

MISTAKES

Assuming greedy still works
Trying frequency map without full assignment tracking
Ignoring exponential complexity of reuse

Trap Explanation:

PITFALL

Candidates often think greedy still applies despite cookie reuse invalidating assumptions.

Interviewer Note:

CONTEXT

Tests readiness for problem variants that break naive greedy solutions.

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