๐Ÿ“… 2023-08-03 โ€” Session: Developed Greedy Algorithm for Dance Pairing Problem

๐Ÿ•’ 18:50โ€“20:00
๐Ÿท๏ธ Labels: Greedy Algorithm, Dance Pairing, Algorithm Design, Education, Optimization
๐Ÿ“‚ Project: Teaching

Session Goal

The session aimed to explore and implement a greedy algorithm to solve the โ€˜Parejas de Baileโ€™ problem, which involves pairing dancers based on skill levels and other attributes.

Key Activities

  • Problem Explanation: Detailed the โ€˜Parejas de Baileโ€™ problem, including matching rules and educational activity guidance.
  • Visual Representation: Created diagrams to illustrate the problem and algorithm flow for better understanding.
  • Algorithm Development: Introduced and implemented the greedy strategy, focusing on sorting and matching dancers by skill levels.
  • Correctness Demonstration: Formalized the algorithmโ€™s correctness using loop invariants and inductive reasoning.
  • Complexity Analysis: Discussed the computational complexity and optimization potential of the greedy approach.

Achievements

  • Successfully developed and documented a greedy algorithm for the dance pairing problem.
  • Created educational materials and visual aids to facilitate understanding and teaching of the algorithm.

Pending Tasks

  • Further exploration of alternative algorithms for pairing optimization, considering additional constraints and attributes.
  • Potential integration of the algorithm into a broader educational curriculum or software tool.