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Understanding Decomposition in Problem Solving

Nov 26, 2024

Lecture on Computational Thinking: Decomposition

Definition of Decomposition

  • Decomposition refers to breaking a complex problem down into smaller, more manageable parts.
  • Essential skill for successful programming.
  • Solving smaller parts simplifies the overall problem.

Everyday Examples of Decomposition

  • Everyday activities involve decomposition, often unconsciously:
    • Morning routine: getting dressed, brushing teeth.
    • Navigating to school.
    • Approaching and completing homework.
  • Example: Crossing a road involves multiple steps:
    • Stop and assess traffic.
    • Make decisions based on traffic conditions.
    • Engage with pedestrian crossing signals if necessary.
    • Final check before crossing.

Decomposition in Computer Game Design

  • Example: Designing a breakout clone game.
    • Player controls a paddle to prevent a ball from falling.
    • Objective: Clear all tiles on screen.
  • Decomposing the game design:
    • Display paddle on screen.
    • Program user interaction for paddle movement.
    • Implement movement boundaries (paddle cannot go off screen).
    • Draw and animate the ball.
    • Detect ball collisions with tiles.
    • Program win/lose conditions.
    • Add enhancements like graphics and sound effects.

Advantages of Problem Decomposition

  • Simplifies problem-solving process.
  • Enables parallel development:
    • Different teams can work on different components simultaneously.
    • Reduces development time and cost.
  • Reusability:
    • Components developed once can be reused in future programs.
    • Facilitates quicker development of future iterations.

Conclusion

  • Decomposition is a key aspect of computational thinking, aiding in efficient problem-solving and collaborative development.
  • Reduces complexity and enhances manageability of projects.

End of Lecture Notes