FIGURE 0.1 Venn diagram for the set of English words starting with "t" Similarly, we represent the set END-z of English words that end with "z” in the following figure. END-Z quartz jazz razzmatazz
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- Please c++ only. Correct answer will upvoted else downvoted. In this problem statement, tree is an undirected associated diagram where there are no cycles. This issue is about non-established trees. A leaf of a tree is a vertex that is associated with all things considered one vertex. The landscaper Vitaly grew a tree from n vertices. He chose to manage the tree. To do this, he plays out a number of tasks. In one activity, he eliminates all leaves of the tree. Note the uncommon instances of the activity: applying an activity to an unfilled tree (of 0 vertices) doesn't transform it. applying an activity to a tree of one vertex eliminates this vertex this vertex is treated as a leaf. applying an activity to a tree of two vertices eliminates both vertices (both vertices are treated as leaves). Vitaly applied k tasks successively to the tree. What number of vertices remain? Input :The main line contains one integer t (1≤t≤104) — the number of experiments. Then, at that point, t…Give an example of a set with three elements, each of which is aset.Computer Science Exercise: shape [★★★] Write a function same_shape : 'a tree -> 'b tree -> bool that determines whether two trees have the same shape, regardless of whether the values they carry at each node are the same. Hint: use a pattern match with three branches, where the expression being matched is a pair of trees. please use Ocaml for the coding
- Q5: Design a PDA for accepting a language (0"1"0 | m, n-1} give the ID form as we explain in the lecture. Apply the string "00011000" on this PDA using ID transitions.A uwuified sentence is sentence that has been transformed using a made-up Internet language in which some of the letters in the words are replaced by something else. The exact scheme is described below: Any uppercase/lowercase R or L is replaced by w/w, respectively. • If we encounter an o/o in a word, check if the previous letter (if it exists) is an M/m or N/n. If the previous letter is one of these, insert the lowercase letter y in between them, regardless of the capitalization of the other letters. • All other characters are left unchanged. Some examples: Professor will be converted to Pwofessow (There are two r's that are replaced by w's. Since the two o's aren't proceeded by an M/n or N/n, no y will be inserted.) LLunoacyo will be converted to wwunyoacyo (The two L's will be replaced with two ws according to the first rule. Then the first o will have a y inserted in front of it between then and the o according to the second rule. The last o won't have a y inserted in between…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…
- Graph Theory: Graph theory in computer science uses a graphical matrix with nodes and edges to describe a data structure. These can be used for search trees, game theory, shortest path, and many other applications in math and computer science. An example of an application of a graph in computer science is the data structure used to hole the moves for a checkers game program. Each move can be represented by a node. The edges connecting the nodes are determined by the rules of the game, basically how to get to the node. This is a directed graph, because a player cannot take a move back. So the flow is always in one direction towards the end of the game. Cycles in a graph is when a node can go back to itself. This is not possible in this graph, because a move can only go to another position on the board. The only case where this would be correct is if a player were allowed to skip his turn, or move to the same spot that he is already in. A graph is said to be connected if there is a path…Create a lazy elimination deletion function for the AVLTree class.There are several approaches you can take, but one of the simplest is to add a Boolean property to the Node class that indicates whether or not the node is designated for deletion. This variable must then be considered by your other techniques.Implement the following linkedlist using C program. Sample Input : Generate the linkedlistwith Sam, Paul, Henry, Alan. Sort the linkedlist in ascendingorder as follows and yourstart pointer is Alan. Delete Henry from the abovelinkedlist and add Bill gates and your final linkedlistwillbewithnodesAlan, Bill Gates, Henry, Paul and Sam.
- Hippity hoppity, abolish loopity def frog_collision_time(frog1, frog2): A frog hopping along on the infinite two-dimensional lattice grid of integers is represented as a 4-tuple of the form (sx, sy, dx, dy) where (sx, sy) is its starting position at time zero, and (dx, dy) is its constant direction vector for each hop. Time advances in discrete integer steps 0, 1, 2, 3, ... so that each frog makes one hop at every tick of the clock. At time t, the position of that frog is given by the formula (sx+t*dx, sy+t*dy) that can be nimbly evaluated for any t.Given two frogs frog1 and frog2 that are guaranteed to initially stand on different squares, return the time when both frogs hop into the same square. If these two frogs never simultaneously arrive at the same square, return None.This function should not contain any loops whatsoever. The result should be calculated using conditional statements and integer arithmetic. Perhaps the best way to get cracking is to first solve a simpler version…Hippity hoppity, abolish loopity def frog_collision_time(frog1, frog2): A frog hopping along on the infinite two-dimensional lattice grid of integers is represented as a 4- tuple of the form (sx, sy, dx, dy) where (sx, sy) is its starting position at time zero, and (dx, dy) is its constant direction vector for each hop. Time advances in discrete integer steps 0, 1, 2, 3, ... so that each frog makes one hop at every tick of the clock. At time t, the position of that frog is given by the formula (sx+t*dx, sy+t*dy) that can be nimbly evaluated for any t. Given two frogs frog1 and frog2 that are guaranteed to initially stand on different squares, return the time when both frogs hop into the same square. If these two frogs never simultaneously arrive at the same square, return None. This function should not contain any loops whatsoever. The result should be calculated using conditional statements and integer arithmetic. Perhaps the best way to get cracking is to first solve a simpler…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…