Problem Background
In modern software development CI/CD pipelines, complex dependencies exist between different resources and services. When deploying a system from scratch, we need to determine the correct deployment order, ensuring all dependencies are satisfied before their dependents.
OAVOService Interview Support Team has discovered through years of big tech interview coaching that dependency ordering problems are high-frequency topics in system design interviews, especially for infrastructure positions at Google, Amazon, Meta, and other top companies.
Problem Description
Problem 1 — CICD Pipeline Dependency Ordering
Given a CI/CD pipeline system containing multiple environments and resources. When the production environment is empty, determine the correct deployment order for resources.
Input Format:
- List of dependency pairs
[A, B], where A depends on B (B must be deployed before A) - Output the correct deployment order
Example:
Input: [[A, B], [C, A], [D, C]]
Output: [B, A, C, D] or other valid topological sequences
Algorithm Core - Topological Sort
This problem is essentially Topological Sort, testing understanding of:
- Directed Acyclic Graph (DAG)
- Node in-degree calculation
- BFS/DFS traversal
- Circular dependency detection
Solution 1: Kahn's Algorithm (BFS)
from collections import deque, defaultdict
def deploy_order_kahn(dependencies):
"""
Topological sort using Kahn's algorithm
Time Complexity: O(V + E)
Space Complexity: O(V + E)
"""
# Build graph and in-degree table
graph = defaultdict(list)
indegree = defaultdict(int)
nodes = set()
for a, b in dependencies:
graph[b].append(a) # b -> a
indegree[a] += 1
nodes.add(a)
nodes.add(b)
if b not in indegree:
indegree[b] = 0
# Find all nodes with in-degree 0
queue = deque([node for node in nodes if indegree[node] == 0])
result = []
while queue:
current = queue.popleft()
result.append(current)
# Decrease in-degree of adjacent nodes
for neighbor in graph[current]:
indegree[neighbor] -= 1
if indegree[neighbor] == 0:
queue.append(neighbor)
# Check for circular dependencies
if len(result) != len(nodes):
raise ValueError("Circular dependency detected!")
return result
Solution 2: DFS Post-order Traversal
def deploy_order_dfs(dependencies):
"""
Topological sort using DFS post-order traversal
"""
graph = defaultdict(list)
nodes = set()
for a, b in dependencies:
graph[b].append(a)
nodes.add(a)
nodes.add(b)
visited = set()
visiting = set()
result = []
def dfs(node):
if node in visiting:
raise ValueError("Circular dependency detected!")
if node in visited:
return
visiting.add(node)
for neighbor in graph[node]:
dfs(neighbor)
visiting.remove(node)
visited.add(node)
result.append(node)
for node in nodes:
if node not in visited:
dfs(node)
return result
Production Environment Optimization
1. Parallel Deployment Optimization
def parallel_deploy_plan(dependencies):
"""
Generate deployment plan supporting parallel execution
"""
order = deploy_order_kahn(dependencies)
levels = []
current_level = []
# Group by dependency depth
for resource in order:
if can_deploy_parallel(resource, current_level, dependencies):
current_level.append(resource)
else:
if current_level:
levels.append(current_level)
current_level = [resource]
if current_level:
levels.append(current_level)
return levels
2. Error Recovery Mechanism
def deploy_with_rollback(dependencies, deploy_func):
"""
Deployment process with rollback support
"""
order = deploy_order_kahn(dependencies)
deployed = []
try:
for resource in order:
deploy_func(resource)
deployed.append(resource)
except Exception as e:
# Rollback deployed resources in reverse order
for resource in reversed(deployed):
rollback_resource(resource)
raise e
return deployed
OAVOService Interview Tips
Common Interview Pitfalls
- Forgetting circular dependency checks - Interviewers will intentionally provide cyclic test cases
- Only considering single solution - Topological sort may have multiple valid results
- Ignoring parallel optimization - Production systems need parallel deployment consideration
Extended Discussion Points
- How to handle dynamic dependency addition/removal?
- Memory optimization strategies for large dependency graphs
- Dependency management in distributed environments
Complexity Analysis
- Time Complexity: O(V + E), where V is number of resources, E is number of dependencies
- Space Complexity: O(V + E), for storing graph structure and state information
OAVOService Professional Interview Support - We provide long-term accompaniment for students in various big tech OAs and interviews, including Google, Amazon, Meta, Citadel, SIG, and other top companies. We offer real-time interview assistance, remote support, and pacing control to ensure you don't drop the ball at critical moments.
If you're preparing for technical interviews, learn about our customized interview support solutions — from algorithm programming to system design, full journey support for successful landing.
Tags: Topological Sort, CI/CD, System Design, Dependency Management, Interview Algorithms, OAVOService