Bird
Raised Fist0

The following Python function attempts to compute the minimum cost to connect sticks: ```python import heapq def min_cost_buggy(sticks): heapq.heapify(sticks) total = 0 while len(sticks) > 1: first = heapq.heappop(sticks) second = heapq.heappop(sticks) cost = first + second total += cost sticks.append(cost) # Bug here return total ``` What is the subtle bug in this code?

medium🐞 Bug Q7 of Q15
Greedy Algorithms - Minimum Cost to Connect Sticks
The following Python function attempts to compute the minimum cost to connect sticks: ```python import heapq def min_cost_buggy(sticks): heapq.heapify(sticks) total = 0 while len(sticks) > 1: first = heapq.heappop(sticks) second = heapq.heappop(sticks) cost = first + second total += cost sticks.append(cost) # Bug here return total ``` What is the subtle bug in this code?
AUsing list append instead of heappush causes incorrect heap structure
BNot checking if sticks list is empty before popping
CAdding cost to total before popping sticks
DHeapify should be called inside the loop
Step-by-Step Solution
Solution:
  1. Step 1: Identify heap operations

    Heapq requires using heappush to maintain heap property.
  2. Step 2: Bug analysis

    Using sticks.append(cost) adds element but does not maintain heap order, causing incorrect pops later.
  3. Step 3: Correct fix

    Replace sticks.append(cost) with heapq.heappush(sticks, cost).
  4. Final Answer:

    Option A -> Option A
  5. Quick Check:

    Always use heappush to maintain heap [OK]
Quick Trick: Use heappush, not append, to maintain heap property [OK]
Common Mistakes:
MISTAKES
  • Appending instead of heappush breaks heap invariant
  • Misunderstanding heapq usage
  • Ignoring heap property maintenance
Trap Explanation:
PITFALL
  • Appending to list looks correct but breaks heap structure causing wrong results.
Interviewer Note:
CONTEXT
  • Tests knowledge of heap operations and common pitfalls in Python heapq usage.
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