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The following code attempts to solve the job scheduling problem optimally. Which line contains a subtle bug that can cause incorrect results?

medium🐞 Bug Identification Q14 of Q15
Dynamic Programming: Knapsack - Maximum Profit in Job Scheduling
The following code attempts to solve the job scheduling problem optimally. Which line contains a subtle bug that can cause incorrect results?
ALine 11: Using bisect_right to find compatible job index
BLine 7: Creating ends array from job end times
CLine 4: Sorting jobs by start time instead of end time
DLine 14: Calculating dp[i] as max of take and skip
Step-by-Step Solution
  1. Step 1: Identify sorting criteria

    Jobs must be sorted by end time for binary search on ends array to work correctly.
  2. Step 2: Check sorting line

    Line 4 sorts by start time, breaking DP dependencies and binary search correctness.
  3. Final Answer:

    Option C -> Option C
  4. Quick Check:

    Sorting by start time causes incorrect compatible job lookups and suboptimal profits [OK]
Quick Trick: Sort jobs by end time, not start time [OK]
Common Mistakes:
MISTAKES
  • Sorting by start time
  • Incorrect binary search bounds
  • Ignoring dp base cases
Trap Explanation:
PITFALL
  • Sorting by start time looks reasonable but breaks the DP logic relying on end time ordering.
Interviewer Note:
CONTEXT
  • Tests if candidate spots subtle but critical sorting bug that breaks correctness.
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