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Algorithms are one of the fundamental building building blocks of the software world. They are step-by-step procedures for solving a problem and, when properly designed, provide significant advantages in terms of speed correctness, efficiency and source resource usage. However, poorly designed algorithms can reduce system performance and lead to unnecessary resource consumption. Therefore, efficient algorithm design and optimization techniques are critical for software developers and engineers.A

The Floyd-Warshall Algorithm is an algorithm designed to find the shortest paths between all pairs of knot in graph theory. This algorithm employs a dynamic programming approach and can operate on graphs with both positive and negative edge weights, provided there are no negative-weight cycles. The algorithm was developed in 1962 by Robert Floyd and Stephen Warshall independent.Working PrincipleThe Floyd-Warshall Algorithm uses a stepwise approach to find the shortest paths between all pairs of