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In this programming project, you will be implementing Dijkstra’s shortest path algorithm in adirected edge weighted graph. You should use theC++programming language, not any otherprogramming language. Your program should be based on theg++compiler ongeneral.asu.edu.Allprograms will be compiled and graded ongeneral.asu.edu, a Linux based machine.Ifyouprogram does not work on that machine, you will receive no credit for this assignment. You will needto submit it electronically at the blackboard, in one zip Fle, named CSE310-P03-Lname-±name,where Lname is your last name and ±name is your Frst name. The zip Fle should contain a set ofFles that are absolutely necessary to compile and execute your program. If you program does notcompile ongeneral.asu.edu, you will receive 0 on this project.Your program should take one of the following four commands from the standard input, andexecute corresponding functions.•S•R•W•PstOn readingS,theprogramstops.On readingR,theprogramreadsinanedgeweighteddirectedgraphfromFleGRAPHinput.txttobuild the adjacency lists, and waits for the next command.The FleGRAPHinput.txtis a text Fle. The Frst line of the Fle contains two integersnandm,which indicates the number of vertices and the number of edges on the graph, respectively. It isfollowed bymlines, where each line contains three integers:u, v,andw.Thesethreeintegersindicate the information of an edge: there is an edge pointing fromutov,withweightw.Pleasenote that the vertices of the graph are indexed from 1 ton(not from 0 ton-1).On readingW,theprogramwritesthegraphinformationtothescreen,andwaitsforthenextcommand.The screen output format ofWis as follows: The Frst line should contain two integers,nandm,wherenis the number of vertices andmis the number of edges. It should be followed bynlines, where each of thesenlines has the following format:u:(v1w1)(v2w2)...(vx,wx)1

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