From the definition of stack automaton, answer: a) State in detail the definitions of the concepts: Configuration, Fm, FM b) Consider the stack automaton of the following image for the language R {ww* : w e {a*b"}} and check whether the following strings are of this language or not: "babbab", "aabbaa", "ababa"
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- L = {w ∈ {a, b}* | at least one prefix of w contains strictly more b’s than a’s.}.For example, baa, abb, abbbaa are in L, but aab, aabbab are not in L. a) Construct a PDA that accepts L by final state.b) Construct a PDA that accepts L by empty stack.A 2-stack automaton is similar to a stack automat, but can handle twobatteries at the same time (that is, put conditions on both batteries and modify themsimultaneously).a. Formally define a 2-stack automatonb. Define how to accept a stringc. Define the language you acceptd. To test all of the above, draw the 2-stack automaton that can recognize the language ? ^ ? ? ^ ? ? ^ ?.Write a secure Bounded Stack class in C++, for a stack of strings. For this problem, you will be allocating a raw array using smart pointers. In practice, C++ programmers have a standard stack class, but in here we are interested in building secure structures from first principles. Fail fast by throwing exceptions.
- Assuming the left associative operation of the operators +,-,x and right associativity of ^, the order of precedence from highest to lowest is ^,x,+,-.Then determine the stack content at every stage for the infix to postfix expression:a+b-cxd^e+fxgNote:Write your answer in following format only.Consider a language that does not have arrays but does have stacks as a data type. That is, one candeclare stack s; and the push, pop, popandtest and stacktop operations are defined. Show how a onedimensional array can be implemented by using these operations on two stacks.implement a data structure that supports stack operations (push and pop) and also return-the-maximum operation. Assume the elements are real numbers. (using java)
- I need this in C (not C++) There is a bag-like data structure, supporting two operations: 1 x1 x: Throw an element xx into the bag. 22: Take out an element from the bag. Given a sequence of operations with return values, you’re going to guess the data structure. It is a stack (Last-In, First-Out), a queue (First-In, First-Out), a priority-queue (Always take out larger elements first) or something else that you can hardly imagine! Input There are several test cases. Each test case begins with a line containing a single integer nn (1≤n≤10001≤n≤1000). Each of the next nn lines is either a type-1 command, or an integer 22 followed by an integer xx. This means that executing the type-2 command returned the element xx. The value of xx is always a positive integer not larger than 100100. The input is terminated by end-of-file (EOF). The size of input file does not exceed 1MB. Output For each test case, output one of the following: stackIt’s definitely a stack. queueIt’s definitely a queue.…2. An ordered stack is a data structure that stores a sequence of items and supports the following operations. • OrderedPush(x): removes all items smaller than x from the beginning of the sequence and then adds x to the beginning of the sequence. • Pop: deletes and returns the first item in the sequence (or Null if the sequence is empty). Suppose we implement an ordered stack with a simple linked list, using the obvious OrderedPush and Pop algorithms. Prove that if we start with an empty data structure, the amortized cost of each OrderedPush or Pop operation is O(1).Write a C++ program in the light of the following detail also diagrammatically illustrate the code. Detail. Create a doubly LinkedList having a character variable which can save an alphabet and two pointers (i.e., left and right pointer) that implement the following family hierarchy. Insertion order must be same as given in the below detail (e.g., start from A, K and L will be the left and right child respectively) also draw the tree diagram of the family hierarchy. A is the father of K and L K is the father of P and Q L is the father of B and C P has only one child i.e., J Q has no child B is the father of X and Y C has only one child i.e., Z.
- (2) Answer the following questions concerning lists, stacks, and queues Please be thorough with explanatio! (d) Suppose you are implementing a list of stacks. Let's say you decide to implement both the general list (the list of stacks) and each individual stack using a double linked list. Assume that there are currently N stacks in the list, and each stack has a maximum of K items, where N and K are both large. You are going to iterate through the general list and apply a single operation to each stack as you encounter it. Now answer the following four questions, using big-Theta notation: What is the average-case time complexity of pushing one additional item into each stack? What is the worst-case time complexity of pushing one additional item into each stack? What is the average-case time complexity of popping one item from each stack? What is the worst-case time complexity of popping one additional item from each stack? (For pops, if the stack is empty, you can assume that the pop…Implement a complete class in c ++ code that represents a stack. The stack must contain the operations push (e) and pop (): e, with standard semantics. Both operations must be 0 (1).Your only restriction is that you may not use the class <T> from std ::(2) Answer the following questions concerning lists, stacks, and queues: Please be thorough with explanation! (e) Suppose you are implementing a list of stacks. Let's say you decide to implement both the general list (the list of stacks) and each individual stack using a vector. Assume that there are currently N stacks in the list, and each stack has a maximum of K items, where N and K are both large. You are going to iterate through the general list and apply a single operation to each stack as you encounter it. Now answer the following four questions, using big-Theta: What is the average-case time complexity of pushing one additional item into each stack? What is the worst-case time complexity of pushing one additional item into each stack? What is the average-case time complexity of popping one item from each stack? What is the worst-case time complexity of popping one additional item from each stack? (For pops, if the stack is empty, you can assume that the pop itself is a…