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Algorithm Design

CICD Pipeline Dependency Ordering - Topological Sort Algorithm Analysis | OAVOService Interview Support

2026-01-10

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:

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:

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

  1. Forgetting circular dependency checks - Interviewers will intentionally provide cyclic test cases
  2. Only considering single solution - Topological sort may have multiple valid results
  3. Ignoring parallel optimization - Production systems need parallel deployment consideration

Extended Discussion Points

Complexity Analysis


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Tags: Topological Sort, CI/CD, System Design, Dependency Management, Interview Algorithms, OAVOService