advanced patterns in Floyd-Warshall Algorithm Implementation in Python - Infinite Loop guide
I've been struggling with this for a few days now and could really use some help. I've hit a wall trying to I'm trying to implement I've searched everywhere and can't find a clear answer. I'm currently working on implementing the Floyd-Warshall algorithm in Python to find the shortest paths between all pairs of vertices in a weighted graph. However, I keep working with an infinite loop during execution that seems to be related to the way I'm updating my distance matrix. I'm using the following code snippet for my implementation: ```python import numpy as np def floyd_warshall(graph): num_vertices = len(graph) dist = np.array(graph) for k in range(num_vertices): for i in range(num_vertices): for j in range(num_vertices): # Update distance if a shorter path is found if dist[i][j] > dist[i][k] + dist[k][j]: dist[i][j] = dist[i][k] + dist[k][j] return dist # Example usage if __name__ == '__main__': graph = [[0, 5, np.inf, 10], [np.inf, 0, 3, np.inf], [np.inf, np.inf, 0, 1], [np.inf, np.inf, np.inf, 0]] print(floyd_warshall(graph)) ``` The input graph represents a directed graph where `np.inf` indicates no direct edge between vertices. I expect to get a distance matrix with the shortest paths, but instead, I notice that the algorithm runs indefinitely. I suspect I might have a logic behavior, particularly in the condition within the innermost loop, but I'm not sure how to debug it effectively. I have tried printing the `dist` matrix at each iteration to see how it's being updated, but it seems like the values never stabilize, leading to the infinite loop. I've also cross-checked the algorithm's logic against the standard Floyd-Warshall pseudocode, and it seems correct. Could anyone guide to identify what might be causing this infinite loop? Is there a common mistake that I might be missing? Any insights would be greatly appreciated! My development environment is Windows. Any ideas what could be causing this? I'd be grateful for any help. Thanks for taking the time to read this! I'm coming from a different tech stack and learning Python. Am I approaching this the right way?