Consider the following flowgraph. BEGINE a d 4 YES 5 END YES hNO NO k 3 4 5 6 NO YES NO YES m Select optimal number of paths to achieve C, + C, (statement coverage + branch coverage).
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- Using C++ programming language solve the following problem: You are given NN points in DD-dimensional space. The ih point has D coordinates - x, 1,x,2..,Xı,D. Consider a weighted undirected complete graph with these NN points as its vertices. Weight of the edge between points ii and j is |xi, 1–xj, 1|+|xi,2–xj,2|+...+|xi,D-xj,D||xi, 1–xj,1|+|xi,2–xj,2|+ ...+|xi,D-xj,D]. Find the weight of the maximum spanning tree of this graph. Input: 22 11 22 Output: 2the shortest path from S to C indeed has distance 7, and this path is S -> E -> D -> A -> C.proof, Lemma double_modus_ponens : forall P Q R S : Prop, (P->Q) -> (R->S) -> (P /\ R) -> (Q /\ S). in coq
- Q5: For the foliowsg ication of Boolean function, implement and desigr the function. F(A,B,C,D,E) = Em (0.4,6,7,9,10,12,15,17,19,29,23,25.26,27,28,30).3. Simplify the following function using K-map: F(A,B,C,D)= E(1,5,6,7,9,11,12,13,14)+E (0,3,4,8)Create an R function pwfun(), which computes values of the piece wise (mathematical) function pwfundefined in the following way. x < -1 -2x - 2 0 x²-1 Its graph is as follows pwfun(c(-2, 0.5, 3)) 208 pwfun(x) = x = c(-3, -2, -1,0, 1, 2, 3.2) pwfun(x) 42000 39.24 .-1≤x≤1 1* .Determine whether the function f: Z × Z →Z is onto if f (m, n) = m + n onto one to one O not one to one and not onto OMake a 3-D surface plot of the function z2 = *+ 2 sin? (0.7y) in the domain -4 < x < 4 , and -3Implement the XOR function exclusively through a combination of AND, OR, and NOTperceptrons introduced in class. (Note: Non-linear activation functions are prohibited at thispoint.) Also, provide a detailed explanation of your implementation with a summary of your implementation, theresults, and your analysis.Create an R function pwfun(), which computes values of the piece-wise (mathematical) function pwfun defined in the following way: x < -1 Its graph is as follows. e pwfun(c(-2, 0.5, 3)) 208 pwfun(x) = - x = c(-3, -2, -1, 0, 1, 2, 3.2) pwfun(x) 4 2 0 0 0 39.24 -2x-2 0 x²-1 18 Your R function pwfun() should also accept x as a vector of arbitrary length and return vector of the same length with entries defined as values of the mathematical function pwfun, evaluated at the corresponding entries of vector x. Here are some input vectors and what you should get as a corresponding output. pufun(-1) .-1≤x≤1 1udent question Consider m rectangles, where the i-th rectangle is represented by the x- and y-coordinates Xil < Xi2 and Yil < Yi2 of its vertices. Here we assume that Yil is negative and Yi2 is positive to simplify the solution, i.e., all rectangles intersect with the x-axis. You are further given a set of n >= m points (a1, b1),(a2,b2),...,(an,bn), and would like to know whether each point is covered by at least one of the rectangles. Design an algorithm for this problem with a running time faster than O(mn), and analyze its correctness and running time.Hint: First use a divide-and-conquer algorithm to find the area covered by the rectangles, so that for any x-coordinate you can find the maximum and minimum y-coordinates covered by the rectangles. Then, process the points one by one.3. 4. Given a directed acyclic graph G = (V, E) and two vertices s, te V, design an efficient algorithm that computes the number of different directed paths from s to t. Define the incidence matrix B of a directed graph with no self-loop to be an nxm matrix with rows indexed by vertices, column indexed by edges such that Bij = -1 1 0 if edge j leaves vertex i, if edge jenters vertex i, otherwise. Let BT be the transpose of matrix B. Find out what the entries of the n x n matrix BBT stand for.SEE MORE QUESTIONSRecommended textbooks for youDatabase System ConceptsComputer ScienceISBN:9780078022159Author:Abraham Silberschatz Professor, Henry F. Korth, S. SudarshanPublisher:McGraw-Hill EducationStarting Out with Python (4th Edition)Computer ScienceISBN:9780134444321Author:Tony GaddisPublisher:PEARSONDigital Fundamentals (11th Edition)Computer ScienceISBN:9780132737968Author:Thomas L. FloydPublisher:PEARSONC How to Program (8th Edition)Computer ScienceISBN:9780133976892Author:Paul J. Deitel, Harvey DeitelPublisher:PEARSONDatabase Systems: Design, Implementation, & Manag…Computer ScienceISBN:9781337627900Author:Carlos Coronel, Steven MorrisPublisher:Cengage LearningProgrammable Logic ControllersComputer ScienceISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill EducationDatabase System ConceptsComputer ScienceISBN:9780078022159Author:Abraham Silberschatz Professor, Henry F. Korth, S. SudarshanPublisher:McGraw-Hill EducationStarting Out with Python (4th Edition)Computer ScienceISBN:9780134444321Author:Tony GaddisPublisher:PEARSONDigital Fundamentals (11th Edition)Computer ScienceISBN:9780132737968Author:Thomas L. FloydPublisher:PEARSONC How to Program (8th Edition)Computer ScienceISBN:9780133976892Author:Paul J. Deitel, Harvey DeitelPublisher:PEARSONDatabase Systems: Design, Implementation, & Manag…Computer ScienceISBN:9781337627900Author:Carlos Coronel, Steven MorrisPublisher:Cengage LearningProgrammable Logic ControllersComputer ScienceISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education