[Solved] Suppose the problem is modified so that characters can be reused unlimited times (infinite supply), and... Which modification to the max heap approach is necessary to handle this variant correctly? | Greedy Algorithms

Greedy Algorithms - Reorganize String (No Two Adjacent Same)

Suppose the problem is modified so that characters can be reused unlimited times (infinite supply), and you want to generate a string of length n with no two adjacent characters the same. Which modification to the max heap approach is necessary to handle this variant correctly?

ANo change needed; the original heap approach works as is for infinite reuse

BTrack only the last used character and pick any other character from the set for the next position

CUse a queue instead of a heap to cycle through characters ensuring no adjacency

DRemove frequency counts and always push characters back immediately after use to allow reuse

Step-by-Step Solution

Solution:

Step 1: Understand infinite reuse implication
Since characters can be reused infinitely, frequency counts are irrelevant; characters must be available again immediately after use.
Step 2: Modify heap usage
Remove frequency decrement logic and always push characters back immediately after use to allow reuse while avoiding adjacency.
Final Answer:
Option D -> Option D
Quick Check:
Immediate pushback enables infinite reuse without adjacency violation [OK]

Quick Trick: Infinite reuse means no frequency decrement [OK]

Common Mistakes:

MISTAKES

Assuming original approach works unchanged
Using queue without frequency logic
Ignoring adjacency constraints

Trap Explanation:

PITFALL

Option A looks plausible but fails adjacency; option D ignores structured reuse control.

Interviewer Note:

CONTEXT

Tests candidate's ability to adapt greedy approach to problem variants with relaxed constraints.

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More Greedy Algorithms Quizzes

Which modification to the max heap approach is necessary to handle this variant correctly?

Step 1: Understand infinite reuse implication

Step 2: Modify heap usage

Final Answer:

Quick Check:

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