Draw a NDPA for L = {a^mb^n|0 ≤n≤m Draw a graphical representation and tabl
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- ∑ = {C,A,G,T}, L = { w : w = CAjGnTmC, m = j + n }. For example, CAGTTC ∈ L; CTAGTC ∉ L because the symbols are not in the order specified by the characteristic function; CAGTT ∉ L because it does not end with C; and CAGGTTC ∉ L because the number of T's do not equal the number of A's plus the number of G's. Prove that L ∉ RLs using the RL pumping theorem.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…Adam begins to master programming. The main undertaking is drawing a fox! Notwithstanding, that ends up being excessively hard for a novice, so she chooses to draw a snake all things being equal. A snake is an example on a n by m table. Mean c-th cell of r-th column as (r, c). The tail of the snake is situated at (1, 1), then, at that point, it's body reaches out to (1, m), then, at that point, goes down 2 lines to (3, m), then, at that point, goes left to (3, 1, etc. Your undertaking is to draw this snake for Adam: the unfilled cells ought to be addressed as speck characters ('.') and the snake cells ought to be loaded up with number signs ('#'). Consider test tests to comprehend the snake design for the programming concepts.
- Create an algorithm to calculate a circle and the Schreier vector.a point 5; a group G operating on f2; a set S = s 1, s 2,..... Sm of generators; the orbit G; a Schreier vector v and backward pointers w of the orbit 8 G relative to the set S of generators;procedure generate( G : group; P : property; s : 1..k+l; i : 1..k+1;[)'1, T2 ..... )'i-1] : initial segment of base image;var K : group );(* Generate the elements of G (s) whose base image startwith 1(1, T2 ..... 1I/-1 and that may have property P.If one is found then extend K, the subgroup of G (s) of elementswith property P that have already been found, and return to search. *) Algorithm to Backtrack Search Restricting Choice of Base ImagesHow does a link-based implementation of the List differ from an array-based implementation? Select one: a. All of these b. A link-based implementation does not need to shift entries over to make room when adding a new entry to the List c. A link-based implementation is sized dynamically so it takes up only the memory to hold the current entries d. A link-based implementation does not need to shift entries up to remove a gap when removing an entry from the List
- A grid must have a mechanism for numbering the tiles in order to support random-access search.A square grid, for example, contains rows and columns that provide a natural numbering for the tiles. Create designs for triangular and hexagonal grids. Define a rule for finding the neighbourhood (i.e. nearby tiles) of a particular tile in the grid using the numbering scheme. For example, if we have a four-connected square grid with indices I for rows and j for columns, we may define the neighbourhood of tile I j as neighbourhood(i, j) = I 1, j,i, j 1.how would I program in c++ language ... a program that takes in graph data from a CSV file , works with any 2d graph, and is able to solve this graph using a dynamic array , think of this as a manhattan graph where its able to give me an optimal path and score with the values from the CSV valuesIn this project, you will develop algorithms that find road routes through the bridges to travel between islands. The input is a text file containing data about the given map. Each file begins with the number of rows and columns in the map considered as maximum latitudes and maximum longitudes respectively on the map. The character "X" in the file represents the water that means if a cell contains "X" then the traveler is not allowed to occupy that cell as this car is not drivable on water. The character "0" in the file represents the road connected island. That means if a cell contains "0" then the traveler is allowed to occupy that cell as this car can drive on roads. The traveler starts at the island located at latitude = 0 and longitude = 0 (i.e., (0,0)) in the upper left comer, and the goal is to drive to the island located at (MaxLattitude-1, MaxLongitudes-1) in the lower right corner. A legal move from an island is to move left, right, up, or down to an immediately adjacent cell…
- 1. Using the above class map, write function void map::mapToGraph(graph &g){...} to create a graph g that represents the legal moves in the map m. Each vertex should represent a cell, and each edge should represent a legal move between adjacent cells. 2. Write a recursive function findPathRecursive(graph &g, stack &moves) that looks for a path from the start island to the destination island. If a path from the start to the destination exists, your function should call the map::printPath() function that should print a sequence of correct moves (Go left, Go right, Go down, Go up, etc.). If no path from the start to the destination exists, the program should print, "No path exists". If a solution exists the solver should also simulate the solution to each map by calling the map::print() function. The map::print() function prints out a map visualization, with the goal and current position of the car in the map at each move, marked to show the progress. Hint: consider recursive-DFS. 3.…Suppose 1,000 Integer elements are generated at random and are inserted into a sorted linked list and a binary search tree (BST) separately. Considering the efficiency of searching for an element in the two structures, which of the following statements is true? The search operation on the list takes longer time because the numbers are not sorted. The search operation will take the same time in both structures. The search operation on the BST takes shorter time because it is relatively balanced. None of these. The search operation on the BST takes longer time because the numbers are not sorted.When faced with a difficult problem in mathematics, it often helps to draw a picture. If the problem involves a discrete collection of interrelated objects, it is natural to sketch the objects and draw lines between them to indicate the relationships. A graph (composed of dots called vertices connected by lines or curves called edges) is the mathematical version of such a sketch. The edges of a graph may have arrows on them; in this case, the graph is called a directed graph. When we draw a graph, it doesn’t really matter where we put the vertices or whether we draw the edges as curved or straight; rather, what matters is whether or not two given vertices are connected by an edge (or edges). The degree of a vertex is the number of edges incident to it (i.e., the number of times an edge touches it). This is different than the number of edges touching it, because an edge my form a loop; for instance, vertex ? in graph ? (above) has degree 5. In a directed graph, we can speak of the…