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Which of the following problems CANNOT be solved efficiently using the greedy approach similar to the Minimum Domino Rotations problem?

easy🔍 Pattern Recognition Q2 of Q15
Greedy Algorithms - Minimum Domino Rotations
Which of the following problems CANNOT be solved efficiently using the greedy approach similar to the Minimum Domino Rotations problem?
AMake all elements in an array equal by minimal increments
BFind the longest increasing subsequence in an array
CFind minimum rotations to make all domino tops or bottoms equal
DCheck if all dominoes can be rotated to have the same number on top
Step-by-Step Solution
Solution:

  1. Step 1: Analyze problem constraints

    Minimum Domino Rotations relies on limited candidate values and feasibility checks.

  2. Step 2: Identify problem nature

    Longest increasing subsequence requires dynamic programming, not greedy, due to overlapping subproblems and non-local decisions.

  3. Step 3: Confirm greedy approach fails

    Greedy algorithms cannot solve LIS optimally because local choices do not guarantee global optimum.

  4. Final Answer:

    Option B -> Option B

  5. Quick Check:

    Greedy fails for LIS as it requires DP [OK]
Quick Trick: Greedy fails for problems needing DP like LIS [OK]
Common Mistakes:
MISTAKES
  • Assuming all rotation problems are greedy-solvable
Trap Explanation:
PITFALL
  • Candidates confuse feasibility checks with guaranteed greedy solutions.
Interviewer Note:
CONTEXT
  • Tests anti-pattern recognition and greedy applicability.
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