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For the below graph how would you draw/make the MST for... (no code just conceptual)
A. Prim Algorithm
B. Kruskal Algorithm
C. Would the two algorithms result in the same MST? Why or why not?
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- How Kruskal's Algorithm Works?(c) Suppose you are given a set of 100m sprint times from the 2020 olympics. The input list has size nand is not sorted, and you may assume that each time is distinct (there are no exact ties). Your team-matecompleted in the event, and her time was exactly 10:57 seconds. She returns from the olympics upset,claiming that at least half the competitors had a faster time. Design an algorithm that takes as input thearray A consisting of the n sprint times, and outputs the closest n=4 sprint times that are faster than yourfriend's time. Justify why your algorithm runs in O(n) in the worst case.*For simplicity, you may assume n=4 is an integer"Dijkstra's single-source shortest path algorithm returns a results grid that contains the lengths of the shortest paths from a given vertex [the source vertex] to the other vertices reachable from it. Develop a pseudocode algorithm that uses the results grid to build and return the actual [shortest] path, as a list of vertices, from the source vertex to a given [target] vertex. (Hint: This algorithm starts with a given vertex [the target vertex] in the grid's first column and gathers ancestor [parent] vertices, until the source vertex is reached.)" *For your algorithm, assume that grid is the name of the results grid produced by Dijkstra's single-source shortest path algorithm. *Each vertex is identified by its label/name, which is in column 1 of grid. *As the first step of your algorithm, find the name of the source vertex. *Next, get the name of the target vertex from the user. Pseudocode should avoid details through broad-stroke statements. However, it must give enough information…
- Analysis: (Describe the problem including input and output in your own words.) Design: (Describe the major steps for solving the problem.) Coding: (Go over your code step by step) Testing: (Describe how you test this program). In other words run your code with sample outputs Analysis of the problem: There is a rectangle with vertices a,b,c,d(let). The position of the vertices are : a=(-5,2.5) b=(-5,-2.5) c=(5,-2.5) d=(5,2.5) The centre of the rectangle is (0,0). Now a point x,y would be given by the user and the program concludes whether the point x,y is within the rectangle or not. The approach of the java code: Take the input of the 2D coordinates from the user. Check whether the horizontal distance is between -5 to 5 and the vertical distance is between -2.5 to 2.5. If the condition is true print the coordinate within the given rectangle. Otherwise print it is not in the rectangle. import java.util.*; class Main{ public static void main(String [] args){ Scanner…c. In graph traversal, Breadth-first Search (BFS) order is "Level order" in the sense that it explores the neighbour nodes first, before moving to the next level neighbours reachable from the source and its distance. A B E 3 5 F G Figure 2 ii) Perform Dijkstra's algorithm starting from node A. In which order does the algorithm visit the nodes, and what is the computed distance to each of them? There are several possible orders to visit the nodes; choose and show one possible path that can be taken.Describe the BFS algorithm's use of color codes in brief. Justify your usage of each color.