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- Problem 4: Let S = {s1, s2, . . . , sn} and T = {t1, t2, . . . , tm}, n ≤ m, be two sets of integers. (ii) Devise an algorithm that uses a hash table of length n to test whether S is a subset of T. What is the expected running time of your algorithm?write a C++ program to Given a matrix of dimension m*n where each cell in the matrix can have values 0, 1 or 2 whichhas the following meaning:0: Empty cell1: Cells have fresh oranges2: Cells have rotten orangesSo we have to determine what is the minimum time required so that all the oranges becomerotten. A rotten orange at index [i,j] can rot other fresh orange at indexes [i-1,j], [i+1,j], [i,j-1],[i,j+1] (up, down, left and right). If it is impossible to rot every orange then simply return -1.Examples:Input: arr[][C] = { {2, 1, 0, 2, 1},{1, 0, 1, 2, 1},{1, 0, 0, 2, 1}};Output:All oranges can become rotten in 2 time frames.Input: arr[][C] = { {2, 1, 0, 2, 1},Tahir Iqbal Department of Computer Sciences. BULC{0, 0, 1, 2, 1},{1, 0, 0, 2, 1}};Output:All oranges cannot be rotten.Below is algorithm.1) Create an empty Q.2) Find all rotten oranges and enqueue them to Q. Also enqueuea delimiter to indicate beginning of next time frame.3) While Q is not empty do following3.a) While delimiter in…22 Consider a hash table with size m=7, fill the following items in the table if the hash function used is (6k-5) mod m. AAB, ABA,CDF,STW,YZQ,PFG (ASCII code) . Then count the number of collisions and solve the collision ( if possible) using one of the methods studied
- to solve the integral knapsack problem using dynamic programming we generate a DP table (array V) to store solution to subproblems. Determine whether each of the following statements is true or false regarding this DP tableProblem 4: Let S = {s1, s2, . . . , sn} and T = {t1, t2, . . . , tm}, n ≤ m, be two sets of integers. (i) Describe a deterministic algorithm that checks whether S is a subset of T. What is the running time of your algorithm? (ii) Devise an algorithm that uses a hash table of length n to test whether S is a subset of T. What is the expected running time of your algorithm?1. When dealing with large dense symmetric matrix it is recommendedthat to either store upper right or lower left entries only to avoidredundancy and thereby saving a lot of space (particularly when thematrix elements are of double type or any other user-defined datatype).Let us assume that we have decided to store only the upper right entriesof a matrix inside an 1D array in row-major arrangement.1. Design an algorithm for accepting a symmetric matrix from the userand printing the same matrix.2. Design an algorithm for multiplying a given symmetric matrix storedin 1D array with a compatible vector.2. A doubly ended queue - deque (Not to be confused with dequeueoperation) is a data structure consisting of a list of items on which thefollowing operations are possible:AddFront(x): Insert item x on the front end of the deque.DelFront(): Remove the front item from the deque and return it.AddLast(x): Insert item x on the rear end of the deque.DelLast(): Remove the rear item from the deque…
- Do the following problems:(a) Convert it to the matrix representation (i.e., Allocation, Request and Available).(b) Do a step-by-step execution of the deadlock detection algorithm. For each step, add and remove the directed edges, and redraw the resource allocation graph.(c) Is there a deadlock? If there is a deadlock, which processes are involved?Answer the following questions using the banker’s algorithm: a. What is the content of the matrix Need? b. Is the system in a safe state? c. If a request from process P1 arrives for (0,4,2,0), can the request be granted immediately?Correct answer will be upvoted else Multiple Downvoted. Computer science. observe each tidy initially how about we characterize what a tidy in the matrix is. A bunch of matrix cells is called a tidy of tallness k with beginning at point (x,y) if: All cells in the set contain an "*". For each 1≤i≤k all cells with the line number x+i−1 and sections in range [y−i+1,y+i−1] should be a part of the set. All different cells cannot have a place with the set. Presently Rick wants to know the number of tidies his n×m matrix contains. Assist Rick with tackling this issue. Input Each test contains at least one experiments. The primary line contains the number of experiments t (1≤t≤10). The primary line of each experiment contains two integers n and m (1≤n,m≤500) — matrix size. Next n lines of each experiment contain m characters ci,j — matrix substance. It is guaranteed that ci,j is either a "." or an "*". It is guaranteed that the amount of n⋅m over all experiments doesn't…
- a. Propose a data structure that supports the stack push and pop operations and a third operation FindMin, which returns the smallest element in the data structure, all in O(1) worst case time. b. Prove that if we add the fourth operation DeleteMin which finds and removes the smallest element, then at least one of the operations must take Ω(log n) time.Dont the matrix V,P dont need any value?Problem 1) Change the diagonal elements of a 3X3 matrix to 1. Diagonal elements of the example matrix shown here are 10, 8, 2 10 -4 0 7 8 3 0 0 2 Read the given values from input (cin) using for loops and then write your code to solve the diagonal.