Algorithm Element as a Strong Generator Product Input: a group G operating on f = 1,2,.....n; an element g of G; a base and strong generating set for G; Schreier vectors v I 1 I k, for the stabiliser chain Output: a symbolic product, a word that expresses g in terms of the strong generators.

Initialize a vector v1 with the following values: 0 23 -7 8 -22 3 14 Write a MATLAB program from the values in v1. The vector v2 should contain the values in v1 transformed as follows: that uses a for-loop and if-statements to make a new vector v2 multiply each positive even element in v1 by 3, multiply each positive odd element of v1 by -2, and change the sign of the negative elements in v1. Then, output the new vector to the command window as follows: The new vector is: -46 7 24 22 -6 42 Also, compute and output the mean of the values in the new vector: The mean of the new vector is: xxxx Above, xxxx is the mean of the values in the new vector with 1 decimal place.

In kotlin, Write a recursive function with an expression body that takes a list of Pairs in which each value may be of any type, and returns a list of the first elements from each pair.

5. Find a closed form representation for the function defined recursively by f(0) = 5 and f(n+1)=2f(n)+4". Prove that your representation is correct using an inductive argument.

C PROGRAMMING Implement dijkstras alorithm  Check that the Graph graph, and starting node, id, are valid• Create the set S containing all the networks (vertices) except the source node (you might wantto use an array for this.• Create an array to represent the table D and initialise it with the weights of the edges from thesource node, or infinity if no edge exists. You should use the constant DBL_MAX to representinfinity.• Create an array to represent the table R and initialise it with the next hops if an edge existsfrom the source, or 0 otherwise.• Then repeatedly follow the remaining rules of Dijkstra’s algorithm, updating the values in D andR until S is empty.• Each of the values required to complete the above can be found by calling the variousfunctions (get_vertices(), get_edge(), edge_destination(), edge_weight(), etc.)in the supplied graph library.• Once Dijkstra’s algorithm has run, you will need to create the routing table to be returned byallocating enough memory for the…

Liskov Substitution Principle (LSP)a. Propose a way to fix the problem in there.