Core Data Structures and Algorithms - System Design Context
Data Structures Diagram
Data Structures (Production Use Cases)
Array/List
- Spring Framework dependency injection container
@Autowired List<Service>for multiple bean injection- Fixed-size vs dynamic arrays
- Memory locality advantages
Linked List
- LRU cache implementation
- Queue structures in messaging systems
- Spring Cloud Stream message handling
- Insertion/deletion at O(1)
Hash Table/Map
- Spring cache abstractions
ConcurrentHashMapfor thread-safe operations- Distributed caching with Redis
- O(1) average lookup time
Tree Structures
- B-tree indices in databases
- Trie structures for autocomplete features
- Decision trees in business rules
- Balanced trees for guaranteed performance
Graph Structures
- Dependency graphs in Spring IoC container
- Social networks
- Recommendation systems
- Circuit breaker state machines
Algorithms (Real-World Applications)
Search Algorithms
Sorting Algorithms
Caching Algorithms
- LRU/LFU eviction policies
- Write-through/write-back strategies
- Distributed cache consistency
- Cache replacement policies
Load Balancing
- Round-robin algorithm
- Weighted round-robin
- Least connections algorithms in Spring Cloud LoadBalancer
- Consistent hashing for distributed systems
Consensus Algorithms
- Raft in distributed systems
- Paxos for distributed consensus
- Leader election in microservices
- Byzantine fault tolerance
Performance Implications
Time Complexity
- O(1) hash lookups in cache systems
- O(log n) database index seeks
- O(n log n) sorting operations
- O(n²) nested loops to avoid
Space Complexity
- Memory-efficient data structures
- Garbage collection considerations
- Off-heap storage strategies
- Memory pools and object reuse
Distributed Systems
- CAP theorem trade-offs
- Eventual consistency models
- Partitioning strategies
- Network latency considerations
Distributed Systems Patterns
Consensus Algorithms
- Raft: Leader-based consensus, log replication
- Paxos: Byzantine fault tolerance, complex but robust
- ZAB: ZooKeeper Atomic Broadcast, total ordering
Leader Election
- ZooKeeper based leader election
- etcd for service coordination
- Custom implementation patterns
- Split-brain prevention
Distributed Locking
- Redis-based locks with expiration
- Database locks for consistency
- Optimistic vs pessimistic locking
- Deadlock detection and prevention
Eventual Consistency
- CRDTs (Conflict-free Replicated Data Types)
- Vector clocks for causality tracking
- Version vectors for conflict resolution
- Gossip protocols for data propagation
Failure Detection
- Heartbeat mechanism for liveness detection
- Timeout strategies for failure detection
- Phi accrual failure detector
- Adaptive timeout algorithms
Scalability Patterns
Horizontal Scaling
- Stateless services design
- Shared-nothing architecture
- Microservices decomposition
- Database sharding strategies
Vertical Scaling
- Resource optimization techniques
- JVM tuning parameters
- Hardware upgrade strategies
- Performance bottleneck identification
Caching Strategies
- Multi-level caching hierarchy
- Cache invalidation strategies
- Write-through vs write-behind
- Cache stampede prevention
Database Scaling
- Read replicas for read scaling
- Sharding for write scaling
- Partitioning strategies
- Cross-shard query challenges
Message Queue
- Asynchronous processing patterns
- Back-pressure handling mechanisms
- Message ordering guarantees
- Dead letter queue handling
Algorithm Complexity Analysis
Common Operations
| Data Structure | Access | Search | Insertion | Deletion |
|---|---|---|---|---|
| Array | O(1) | O(n) | O(n) | O(n) |
| Linked List | O(n) | O(n) | O(1) | O(1) |
| Hash Table | O(1) | O(1) | O(1) | O(1) |
| Binary Tree | O(log n) | O(log n) | O(log n) | O(log n) |
| B-Tree | O(log n) | O(log n) | O(log n) | O(log n) |
Sorting Algorithms
| Algorithm | Best Case | Average Case | Worst Case | Space |
|---|---|---|---|---|
| Quick Sort | O(n log n) | O(n log n) | O(n²) | O(log n) |
| Merge Sort | O(n log n) | O(n log n) | O(n log n) | O(n) |
| Heap Sort | O(n log n) | O(n log n) | O(n log n) | O(1) |
| Tim Sort | O(n) | O(n log n) | O(n log n) | O(n) |
Production Implementation Examples
LRU Cache Implementation
java
@Component
public class LRUCache<K, V> {
private final int capacity;
private final Map<K, Node<K, V>> cache;
private final Node<K, V> head, tail;
public LRUCache(int capacity) {
this.capacity = capacity;
this.cache = new ConcurrentHashMap<>();
this.head = new Node<>();
this.tail = new Node<>();
head.next = tail;
tail.prev = head;
}
// Implementation details...
}Consistent Hashing for Load Balancing
java
@Component
public class ConsistentHashLoadBalancer {
private final SortedMap<Integer, String> circle = new TreeMap<>();
private final int virtualNodes = 100;
public void addServer(String server) {
for (int i = 0; i < virtualNodes; i++) {
circle.put(hash(server + i), server);
}
}
public String getServer(String key) {
int hash = hash(key);
SortedMap<Integer, String> tailMap = circle.tailMap(hash);
return tailMap.isEmpty() ? circle.firstEntry().getValue() : tailMap.firstEntry().getValue();
}
}Memory Management
JVM Memory Optimization
- Heap size tuning (-Xmx, -Xms)
- Garbage collection algorithm selection
- Off-heap storage for large datasets
- Memory leak detection and prevention
Distributed Memory
- Redis clustering for distributed cache
- Hazelcast for in-memory data grid
- Apache Ignite for distributed computing
- Consistency vs performance trade-offs
Security Considerations
Algorithm Security
- Cryptographic hash functions
- Secure random number generation
- Timing attack prevention
- Side-channel attack mitigation
Data Structure Security
- Input validation for data structures
- Bounds checking for arrays
- Hash collision attack prevention
- Memory safety in native code