A computational engine designed to solve the 'Numbers and Letters' combinatorics puzzle. It navigates vast search spaces to find exact solutions in milliseconds.
Problem
•The search space for combinations grows exponentially.
•Brute force solutions are computationally too expensive for real-time use.
•Need to prioritize 'natural' mathematical solutions over complex ones.
Approach
•Implemented a Breadth-First Search (BFS) algorithm to guarantee finding the shortest solution path.
•Optimized data structures to minimize memory tracking of visited states.
•Applied pruning heuristics to discard non-viable branches early.
Outcome
•Solves complex permutation problems in under 10ms.
•Clean, modular C++ implementation of standard graph algorithms.
•Demonstrable efficiency improvement over recursive brute-force methods.