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What is the overall time complexity of executing the prepare() method in a Template Method Pattern implementation where each step executes in constant time and the number of steps is fixed?

medium📊 Complexity Q5 of Q15

OOP & Design Patterns - Template Method Pattern - Define Skeleton, Override Steps

What is the overall time complexity of executing the prepare() method in a Template Method Pattern implementation where each step executes in constant time and the number of steps is fixed?

AO(n^2)

BO(n)

CO(log n)

DO(1)

Step-by-Step Solution

Solution:

Step 1: Analyze steps
Each step runs in constant time.
Step 2: Count steps
Number of steps is fixed and does not depend on input size.
Step 3: Determine complexity
Fixed number of constant-time steps results in O(1) time complexity.
Final Answer:
Option D -> Option D
Quick Check:
Fixed steps + constant time each = O(1) [OK]

Quick Trick: Fixed steps with constant time each means O(1) [OK]

Common Mistakes:

MISTAKES

Assuming complexity depends on input size
Confusing number of steps with variable n
Choosing O(n) incorrectly

Trap Explanation:

PITFALL

Mistaking fixed steps for input-dependent steps leads to wrong complexity.

Interviewer Note:

CONTEXT

Tests understanding of time complexity in Template Method implementations.

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