Finding the Lost Sheep: What Matthew 18 Teaches Us About Search Algorithms

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    Engineer Duru

  • blog-tag Algorithm, Python, Matthew 18, Scripture
  • blog-comment 0 comment
  • created-date 27 Nov, 2025
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Scripture Inspiration

"If a man has a hundred sheep and one of them wanders away, will he not leave the ninety-nine… and go to look for the one that wandered off?" — Matthew 18:12

This verse paints a vivid picture of persistence and care. The shepherd doesn’t settle for ninety-nine; he searches until the one is found. That same principle of systematic searching is at the heart of computer science.

Tech Connection: Breadth-First Search (BFS)

In computing, we often need to find something lost — a file in a directory, a node in a network, or the shortest path in a maze. One of the most reliable ways to do this is the Breadth-First Search (BFS) algorithm.

  • How it works: BFS explores level by level, starting from the root and expanding outward.

  • Why it matters: It guarantees that no node is overlooked, and it often finds the shortest path to the target.

  • Faith parallel: Just as the shepherd searches every corner of the pasture, BFS systematically checks every node until the lost sheep is found.

    A Simple Python Example

    from collections import deque

    # Graph representing sheep in a pasture
    graph = {
        "Shepherd": ["Sheep1", "Sheep2"],
        "Sheep1": ["Sheep3", "Sheep4"],
        "Sheep2": ["Sheep5", "Sheep6"],
        "Sheep3": [],
        "Sheep4": ["LostSheep"],
        "Sheep5": [],
        "Sheep6": [],
        "LostSheep": []
    }

    def bfs_search(graph, start, target):
        visited = set()
        queue = deque([start])
       
        while queue:
            node = queue.popleft()
            print(f"Visiting: {node}")
            if node == target:
                print(f"Found the lost sheep: {node}!")
                return True
            visited.add(node)
            for neighbor in graph[node]:
                if neighbor not in visited:
                    queue.append(neighbor)
        print("Lost sheep not found.")
        return False

    # Run BFS to find the lost sheep
    bfs_search(graph, "Shepherd", "LostSheep")


    Sample Output

    Visiting: Shepherd
    Visiting: Sheep1
    Visiting: Sheep2
    Visiting: Sheep3
    Visiting: Sheep4
    Found the lost sheep: LostSheep!


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Engineer Duru

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