Which problem is solved by DijkStra’s shortest path algorithm?
A.
Given an increasing array of numbers is the number 19 in the array?
B.
Given the coordinates of five positions, what is the most fuel-efficient flight pain?
C.
Given two newspaper articles what is the greatest sequence of words shared by both articles?
D.
Given an alphabetized list of face entrants and a person's name, is the person entered in the race?
The Answer Is:
B
This question includes an explanation.
Explanation:
Dijkstra’s shortest path algorithm is designed to find the shortest path between nodes in a graph. This can be applied to various scenarios, such as routing problems, network optimization, and in this case, determining the most fuel-efficient flight plan. The algorithm works by iteratively selecting the unvisited vertex with the smallest tentative distance from the source, then visiting the neighbors of this vertex and updating their tentative distances if a shorter path is found. This process continues until the destination vertex is reached or all reachable vertices have been visited.
In the context of the given options, Dijkstra’s algorithm is best suited for option B, where the goal is to find the most fuel-efficient path (i.e., the shortest path) between multiple points (coordinates of five positions). The algorithm is not designed to solve problems like searching for an element in an array (option A), finding the longest common subsequence (option C), or searching for a name in a list (option D).
[References:, GeeksforGeeks article on Dijkstra’s Algorithm1, Wikipedia page on Dijkstra’s Algorithm2, Programiz explanation of Dijkstra’s Algorithm3, , ]
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