Shrek has guessed three positive integers a, b, and c. He keeps these numbers in secret, but he writes down four numbers on a board in arbitrary order their pairwise sums (three numbers) and sum of all three numbers (one number). So, there are four numbers on a board in random order: a + b, a+ c, b + c and a+b+c. You have to guess three numbers a, b, and c using given numbers. Print three guessed integers in any order. Pay attention that some given numbers a, b and c can be equal (it is also possible that a-b=c). Instruction: Create a Java program that will perform the algorithm that will solve the problem using inheritance as shown in the figure. It must satisfy the 3-sample output as shown below. Explain your codes using comments.
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- You are given an instance of a problem where you have an n x n grid of squares. Each square can be unpainted or can have a hole, so you cannot go on the square with a hole. The objective is to paint all the squares that do not have a hole. You start in the square (0,0) which is unpainted. The actions you can do are: (1) paint the square you are on if it is not painted; (2) move, either vertically or horizontally, to an adjacent square inside the grid that is not painted and does not have a hole. a. Describe a state-space representation for the problem, specifying the state representation, the initial state, the goal condition, and the actions. b. Is the state space finite? Is it a tree or a graph? c. Propose a heuristic for the problem. Is your heuristics admissible or not? Explain briefly your answerSolve using JAVA only Given a square chess board of size N, solve the N queens problem. Print out the number of solutions for a given N. You do not need to print out or produce the actual solutions, only the number of correct solutions. Solve for N between 2 and 8. Try your program with 9 and 10, produce those results if it returns in a reasonable amount of time. The N queens problem is to find every configuration of N queens distributed on an NxN square chess board such that all queens are safe from attack by each other.Write a program that produces a multiplication table, showing the results of multiplying the integers 1 through 12 by themselves.
- Start with any positive number n. If n is even divide it by 2, if n is odd multiply by 3 and add 1. Repeat until n becomes 1. The sequence that is generated is called a bumpy sequence. For example, the bumpy sequence that starts at n = 10 is: 10, 5, 16, 8, 4, 2, 1and the one that starts at 11 is11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1 Write a function named lengthBumpy that returns the length of the bumpy sequence generated by its integer argument. The signature of the function is int lengthBumpy(int n) Examples:lengthBumpy(10) returns 7, and lengthBumpy(11) returns 15. You may assume that the argument n is positive and that the sequence converges to 1 without arithmetic overflow.Mastermind is a code-breaking game for two players. In the original real-world game, one player A selects 4 pegs out of 6 colors and puts them in a certain fixed order; multiples of colors are possible (for example, red-green red-green). His opponent B does not know the colors or order but has to find out the secret code. To do so, B makes a series of guesses, each evaluated by the first player. A guess consists of an ordered set of colors which B believes is the code. The first player A evaluates the guess and feeds back to B how many positions and colors are correct. A position is correct ("black") if the guess and the secret code have the same color. Additional colors are correct ("white"), if they are in the guess and the code, but not at the same location. For example1 2 3 4secret: red-green red greenguess: red blue green purpleresults in one correct position ("black = 1") for the red peg at position one and one additional correct color ("white=1") for the green peg in the guess.…Mastermind is a code-breaking game for two players. In the original real-world game, one player A selects 4 pegs out of 6 colors and puts them in a certain fixed order; multiples of colors are possible (for example, red-green red-green). His opponent B does not know the colors or order but has to find out the secret code. To do so, B makes a series of guesses, each evaluated by the first player. A guess consists of an ordered set of colors which B believes is the code. The first player A evaluates the guess and feeds back to B how many positions and colors are correct. A position is correct ("black") if the guess and the secret code have the same color. Additional colors are correct ("white"), if they are in the guess and the code, but not at the same location. For example1 2 3 4secret: red-green red greenguess: red blue green purpleresults in one correct position ("black = 1") for the red peg at position one and one additional correct color ("white=1") for the green peg in the guess.…
- Solve using JAVA only Given a square chess board of size N, solve the N queens problem. ONLY Print out the NUMBER of solutions for a given N. DO NOT print out or produce the actual solutions, the code shold ONLY PROVIDE the number of correct solutions. Solve for N between 2 and 8. Try your program with 9 and 10, produce those results if it returns in a reasonable amount of time. The N queens problem is to find every configuration of N queens distributed on an NxN square chess board such that all queens are safe from attack by each other.In order to beat AlphaZero, Grandmaster Hikaru is improving her chess calculation skills.Today, Hikaru took a big chessboard with N rows (numbered 1 through N) and N columns (numbered 1 through N). Let's denote the square in row r and column c of the chessboard by (r,c). Hikaru wants to place some rooks on the chessboard in such a way that the following conditions are satisfied:• Each square of the board contains at most one rook.• There are no four rooks forming a rectangle. Formally, there should not be any four valid integers r1, c1, r2, c2 (≠r2,c1≠c2) such that there are rooks on squares (r1,c1), (r1,c2 (r2,c1)and (r2,c2).• The number of rooks is at least 8N.Help Hikaru find a possible distribution of rooks. If there are multiple solutions, you may find any one. It is guaranteed that under the given constraints, a solution always exists.InputThe first line of the input contains a single integer T denoting the number of test cases. The first and only line of each test case contains…A popular word game involves finding words from a grid of randomly generatedletters. Words must be at least three letters long and formed from adjoining letters.Letters may not be reused and it is valid to move across diagonals. As an example,consider the following 4 * 4 grid of letters: A B C DE F G HI J K LM N O P The word “FAB” is valid (letters in the upper left corner) and the word “KNIFE”is valid. The word “BABE” is not valid because the “B” may not be reused. Theword “MINE” is not valid because the “E” is not adjacent to the “N”. Write a program that uses a 4 * 4 two-dimensional array to represent the gameboard. The program should randomly select letters for the board. You may wishto select vowels with a higher probability than consonants. You may also wish toalways place a “U” next to a “Q” or to treat “QU” as a single letter. The programshould read the words from the text file words.txt (included on the website withthis book) and then use a recursive algorithm to…
- Given a positive integer, N, the ’3N+1’ sequence starting from N is defined as follows: If N is an even number, then divide N by two to get a new value for N. If N is an odd number, then multiply N by 3 and add 1 to get a new value for N. Continue to generate numbers in this way until N becomes equal to 1. For example, starting from N = 3 the complete ’3N+1’ sequence would be:3, 10, 5, 16, 8, 4, 2, 1 Do the following: Write a code in C++ to ask the user to enter a positive integer (N) in the main() function. Write a function sequence() that receives the integer value N and display the ‘3N+1’ sequence starting from the integer value that wasreceived (entered by the user). The function must also count and return the numbers that the sequence consists of. The returned value must be displayed from the main() function. Example input and output is given in the following image.Write a program that calculates (using a Monte Carlo simulation) what the probability is that two bishops, randomly placed on an 8 by 8 chessboard, are in an attacking position? On a chessboard, bishops can move in a diagonal line. So two bishops are in attacking position if they both sit on the same diagonal line. On the 8x8 chessboard below, B1 and B2 are in attacking position. B3 is NOT in attacking position of either B1 or B2. B4 and B1 are also in attacking position to each other. But B4 is not in attacking position to B2, or B3.Write a Java program that reads a tic-tac-toe board and determines who has won the game or if it is a tie. You may assume that the game is over. Input X - O - X O O - X Output X wins Input O X O X O X X O X Output Tie