This path-finding visualizer uses the Dijkstra's algorithm to find the shortest path between a source and destination node. Users can customize the paths by choosing the start and end nodes, and they can also add blocks or weights to nodes, influencing the optimal route.
Dijkstra's Algorithm analyzes the graph to find the shortest path between that node and all the other nodes in the graph.
- The algorithm keeps track of the currently known shortest distance from each node to the source node and it updates these values if it finds a shorter path.
- Once the algorithm has found the shortest path between the source node and another node, that node is marked as "visited" and added to the path.
- The process continues until all the nodes in the graph have been added to the path. This way, we have a path that connects the source node to all other nodes following the shortest path possible to reach each node.
The reason Dijkstra's algorithm works and guarantees the shortest path is due to its greedy nature. It always explores the node with the minimum distance first and updates the distance to its neighbors if a shorter path is found. Since the algorithm explores nodes in order of increasing distance, it ensures that the shortest distance to each node is found before exploring longer paths.
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