MCP Debugger

# examples\go\fibonacci/ @children-hash: b0766459e9afb53b @generated: 2026-02-15T09:01:17Z ## Purpose Educational Go example demonstrating algorithmic complexity analysis through Fibonacci number calculation. This module serves as a practical tutorial comparing three fundamental algorithm design paradigms with concrete performance benchmarking. ## Key Components **main.go**: Complete self-contained demonstration program featuring: - **fibonacciRecursive()**: Naive recursive implementation (O(2^n)) showcasing exponential complexity pitfalls - **fibonacciIterative()**: Optimized iterative solution (O(n)) demonstrating space-efficient linear algorithms - **fibonacciMemoized()**: Dynamic programming approach (O(n)) illustrating caching optimization techniques - **main()**: Orchestrates performance comparison with timing measurements and sequence display ## Public API Surface Single executable entry point via `go run main.go` that demonstrates: - Performance benchmarking across three algorithmic approaches - Complete Fibonacci sequence generation (F(0) to F(n)) - Execution time measurements for complexity analysis - Educational output comparing algorithmic efficiency ## Internal Organization The program follows a progression pattern from least to most optimized: 1. **Exponential baseline**: Recursive implementation showing worst-case complexity 2. **Linear optimization**: Iterative approach eliminating redundant calculations 3. **Caching enhancement**: Memoization combining recursion elegance with efficiency Data flows through consistent interfaces where all implementations accept integer `n` and return `int64` Fibonacci values, enabling direct performance comparisons. ## Educational Patterns - **Algorithmic complexity demonstration**: Concrete examples of O(2^n) vs O(n) performance - **Optimization progression**: Shows evolution from naive to sophisticated approaches - **Benchmarking methodology**: Demonstrates proper performance measurement techniques - **Go language features**: Utilizes maps, timing functions, and clean function design This module serves as an excellent reference for understanding fundamental computer science concepts through practical Go implementation.