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Consider two approaches for Two City Scheduling: (1) brute force with memoization, and (2) greedy sorting by cost difference. When is approach (1) preferable over (2)?

hard⚖️ Approach Comparison Q8 of Q15
Greedy Algorithms - Two City Scheduling
Consider two approaches for Two City Scheduling: (1) brute force with memoization, and (2) greedy sorting by cost difference. When is approach (1) preferable over (2)?
AWhen input size is large and performance is critical
BWhen costs are uniform and assignments do not affect total cost
CWhen problem has additional constraints making greedy invalid
DWhen problem constraints are relaxed allowing unequal group sizes
Step-by-Step Solution
Solution:
  1. Step 1: Understand greedy assumptions

    Greedy approach requires equal group sizes and cost difference sorting to be valid.
  2. Step 2: When brute force with memoization helps

    If constraints allow unequal group sizes or other complex conditions, brute force with memoization can handle these cases correctly.
  3. Final Answer:

    Option D -> Option D
  4. Quick Check:

    Relaxed constraints break greedy, favoring DP/memoization [OK]
Quick Trick: Use brute force if constraints break greedy assumptions [OK]
Common Mistakes:
MISTAKES
  • Assuming greedy always better
  • Ignoring problem constraint changes
  • Confusing uniform costs with relaxed constraints
Trap Explanation:
PITFALL
  • Candidates often over-trust greedy without checking constraints validity.
Interviewer Note:
CONTEXT
  • Tests tradeoff reasoning between greedy and DP approaches
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