1. Build PDA to generate all strings of the form 1n0 n where n>0
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1. Build PDA to generate all strings of the form 1n0 n where n>0
2. Build PDA to generate all strings of the form 1 n 0 m 1 n, where m and n are greater or equal to 0.
3. Build CFG to generate all strings of the form 1n+20 n where n>=0
4. Build PDA to generate all strings of the form 1n0 m where n>=0, m>=0, but m>n
5. Build CFG to generate all strings of the form 1n0 m where n>=0, m>=0, but m>n
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- 1. Build PDA to generate all strings of the form 0n12n+3 where n>=0 2. Build CFG to generate all strings of the form 0n12n+3 where n>=0 3. Build PDA to generate all strings of the form 0n1 n where n is even 4. Build CFG to generate all strings of the form 0n1 n where n is even 5. Build PDA to generate all strings of the form 1 n 0 m, where m and n are even, and m>n 6. Build CFG to generate all strings of the form 1 n 0 m 1 n, where m and n are greater or equal to 0. 7. Build PDA to generate all strings of the form w11, where w is a palindrome containing 1's and 0's. For example, the following strings should be generated: • 01011 (010 is a palindrome, and 11 is the ending) • 1101111 (11011 is a palindrome, and 11 is the ending) • 01011 (010 is a palindrome, and 11 is the ending) 8. Build CFG to generate all strings of the form w11, where w is a palindrome containing 1's and 0's. 9. Build PDA which generates all non-empty strings with equal number of 1’s and 0’s \ 10. Please…Answer in JavaScript Tim while preparing for his CAT exam, was studying the topic Number Systems. He encountered a loving da question: Given a number N, find the number of pairs (cy) where both x and y are less than N and Highent Common Factor(HCF) of x and y is 1. You have to solve the question for him. Note: 0 can be included within the pairs Input Specification: Input: The number N from which the pairs (x,y) should be obtained Output Specification: Return the total number of pairs Example 1: input1: 4 Output: 9 Explanation: The pairs can be (1,0) ,(0,1) (1,1) (1,2) (2,1) (0, 3) (3,1) (2,3) (0,2) So, a total of 9 pairs6. Build CFG to generate all strings of the form 0n 1 3n+2, where n is greater or equal to 0Build PDA to generate all strings of the form 1¹0 2nn where n>=0
- CCC '13 J1 - Next in line Canadian Computing Competition: 2013 Stage 1, Junior #1 You know a family with three children. Their ages form an arithmetic sequence: the difference in ages between the middle child and youngest child is the same as the difference in ages between the oldest child and the middle child. For example, their ages could be 5, 10 and 15, since both adjacent pairs have a difference of 5 years. Given the ages of the youngest and middle children, what is the age of the oldest child? Input Specification The input consists of two integers, each on a separate line. The first line is the age Y of the youngest child (0Python Language Q2: Ginormous Campus The campus is pretty big. There are n buildings scattered around it, numbered from 0 to n-1. These buildings are so far away from each other that the only way to get from one to another is to take a campus bus. There are m campus bus routes. The i-th one (0 <= i < m) takes you from building u_i to building v_i (but not the other way around). These buses run very frequently. Professor Zingaro is deciding where to hold his CS lectures. He believes a building x is accessible from a building y if you can get from y to x taking at most two buses. For his students’ convenience, he wants to hold his lectures in the most accessible building. Help him out by telling him how many buildings the most accessible building is accessible from. In addition, list all buildings that are the most accessible. Input The first line of the input contains two space-separated integers n and m, denoting the number of buildings and bus routes, respectively. m lines…JAVA CODE PLEASE Functions With No Parameters and Return Values Quiz by CodeChum Admin Create a function named banner that prints “CodyChum” with a newline. In the main function, write a program that accepts an integer input which would serve as an inclusive stopping point of a loop iteration that starts at the value of 1. If the number that loops through the range is divisible by either 2 or 3, then call the banner function, otherwise just print the number. Input 1. One line containing an integer Output First line is the integer user input. Succeeding multiple lines containing an integer or “CodyChum” 10 1 CodyChum CodyChum CodyChum 5 CodyChum 7 CodyChum CodyChum CodyChumLet A = {a, b, c} and B = {u, v}. Write a. A × B b. B × AQ3: Interplanetary Spaceflight Milan Tusk is the richest person in the universe. After devoting decades of his life to further our space exploration technologies, he’s finally ready to retire. Being a space enthusiast, the first thing he wants to do is visit n planets p1, p2, …, pn, in this order. He’s currently on planet p0. Milan knows that the distance between planets pi and pi + 1 (for 0 ≤ i < n) is d[i]light years. His spaceship uses 1 tonne of fossil fuels per light year. He starts with a full tank and can fill up his tank at any of the n planets (but he must not run out in between two planets). There’s a huge cost to set up the spaceship for refuelling. Due to financial constraints (he’s not THAT rich), he can fill up his tank at most ktimes. In order to save money and make his spaceship lighter, Milan is looking for the smallest possible fuel tank that enables him to complete his space travel and reach planet pn. What is the smallest tank capacity that enables him to do so?…C++ A robot is initially located at position (0; 0) in a grid [?5; 5] [?5; 5]. The robot can move randomly in any of the directions: up, down, left, right. The robot can only move one step at a time. For each move, print the direction of the move and the current position of the robot. If the robot makes a circle, which means it moves back to the original place, print "Back to the origin!" to the console and stop the program. If it reaches the boundary of the grid, print \Hit the boundary!" to the console and stop the program. A successful run of your code may look like:Down (0,-1)Down (0,-2)Up (0,-1)Left (-1,-1)Left (-2,-1)Up (-2,0)Left (-3,0)Left (-4,0)Left (-5,0)Hit the boundary! or Left (-1,0)Down (-1,-1)Right (0,-1)Up (0,0)Back to the origin! About: This program is to give you practice using the control ow, the random number generator, and output formatting. You may use <iomanip> to format your output. You may NOT use #include "stdafx.h".(Numerical) Write a program that tests the effectiveness of the rand() library function. Start by initializing 10 counters to 0, and then generate a large number of pseudorandom integers between 0 and 9. Each time a 0 occurs, increment the variable you have designated as the zero counter; when a 1 occurs, increment the counter variable that’s keeping count of the 1s that occur; and so on. Finally, display the number of 0s, 1s, 2s, and so on that occurred and the percentage of the time they occurred.Ex: Let A1 ={x, y}, A2 ={1, 2}, and A3 ={a, b}, Find A1 × A2, (A1 × A2) × A3, A1 × A2 × A3.CSCI 2436:01L Data Structures Lab Lab 1 - Chapter 4 The Efficiency of Algorithms In this lab, you will practice how to measure the running time f a section of code in Java. One approach is to use System.nano Time() where the current time is stored as a long integer equals to the number of nanoseconds. By subtracting the starting time in nanoseconds from the ending time in nanoseconds, you get the run time-in nanoseconds of a section of code. public static void main(String[] args) { int n1 = 10, n2 = 100, n3 = 1000, n4 = 10000; long n1Time, n2Time, n3Time, n4Time; n1Time AlgorithmA (nl); For example, suppose that AlgorithmA is the name of a method you wish to time. The following statements will compute the number of nanoseconds that AlgorithmA requires to execute: } public static long AlgorithmA (int n) { long startTime, endTime, elapsedTime; startTime = System.nanoTime (); int sum = 0; for (int i = 1; i 0 1 2. By midnight, Tuesday, Jan 24th, submit your Java source file and a…SEE MORE QUESTIONS