1. Solve the Eight Tiled Puzzle Problem Using Hill-climbing algorithm with the help of C++ programming language. Initial state and goal state are given below. 7 2 1 8 1 5 7 8 6 Initial state Goal state The heuristic function, h(n) to be used is given as: h(n)=the number of misplaced tiles Expected Outcome. a. The number of steps required to solve the puzzle. b. Print the best state after each iteration of hill-climbing. 3. CO 4. 3.
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- Ql: The Collatz conjecture function is defined for a positive integer m as follows. (COO1) g(m) = 3m+1 if m is odd = m/2 if m is even =1 if m=1 The repeated application of the Collatz conjecture function, as follows: g(n), g(g(n)), g(g(g(n))), ... e.g. If m=17, the sequence is 1. g(17) = 52 2. g(52) = 26 3. g(26) = 13 4. g(13) = 40 5. g(40) = 20 6. g(20) = 10 7. g(10) = 5 8. g(5) = 16 9. g(16) = 8 10. g(8) = 4 11. g(4) = 2 12. g(2) = 1 Thus if m=17, apply the function 12 times in order to reach m=1. Use Recursive Function.You are a computer research scientist at Tesla, and your task is to create a computer vision application for self-driving cars to detect object and avoid collision. You know that Graham's scan is a method of computing the convex hull of a finite set of points in the plane. You decide to apply this algorithm to achieve the goal of your task. a) Suppose Graham's scan executes n points, where n >= 3. Prove that, at the end of the program, the stack S consists of, from bottom to top, exactly the vertices of convex hull in counter-clockwise order.1. Solve the Eight Tiled Puzzle Problem Using Hill-climbing algorithm with the help ofC++ programming language. Initial state and goal state are given below. 4 7 2 5 8 1 3 6 Initial State 1 2 3 4 5 7 8 6 Goal State Expected Outcome.a. The number of steps required to solve the puzzle.b. Print the best state after each iteration of hill-climbing requirements:no pre-defined functionsquee and algorithm library not allowedIostream only no other
- Correct answer will be upvoted else downvoted. Computer science. You are provided a program with that comprises of n directions. At first a solitary variable x is doled out to 0. A while later, the guidelines are of two kinds: increment x by 1; decline x by 1. You are given m inquiries of the accompanying organization: question l r — what number of particular qualities is x appointed to if every one of the directions between the l-th one and the r-th one comprehensive are disregarded and the rest are executed without changing the request? Input The primary line contains a solitary integer t (1≤t≤1000) — the number of testcases. Then, at that point, the depiction of t testcases follows. The main line of each testcase contains two integers n and m (1≤n,m≤2⋅105) — the number of directions in the program and the number of questions. The second line of each testcase contains a program — a line of n characters: each character is either '+' or '- ' — addition and…The spring in the figure below is stretched from its equilibrium position at x = 0 to a positive coordinate xo. ko HINT x = 0 x = xo PE sn PE 50 The force on the spring is F and it stores elastic potential energy PESO. If the spring displacement is tripled to 3x, determine the ratio of the new force to the original force, and the ratio of the new to the original elastic potential energy, Fo Fo PESO (a) the ratio of the new force to the original force, PE ST PE SO (b) the ratio of the new to the original elastic potential energy,INTRODUCTION: Heat conduction from a cylindrical solid wall of a pipe can be determined by the follow T1-T2 q = 2nLk R2 In R. where: q is the computed heat conduction in Watts. k is the thermal conductivity of the pipe material in Watts/°C/m. L is the length of the pipe in cm. Ri is the inner radius of the pipe in cm. R2 is the outer radius of the pipe in cm. Ti is the internal temperature in °C. T2 is the external temperature in °C. ASSIGNMENT: Write a C program that will allow the user to enter the inner and outer radii of the pipe, the the internal and external temperatures. Once the user enters the input values, the program
- a)Write a computer program for the Gauss elimination method using the C programming language. Decide the number of significant figures yourselves. While writing your program, consider the effects of the number of significant figures, pivoting, scaling, and do not forget to check if the system is ill-conditioned.b)Repeat the same procedures for the Gauss-Jordan method.c)Solve an example system using your Gauss elimination and Gauss-Jordan method. Measure the time your computer solves the system for both programs.d)Write a report in which you discuss and compare your Gauss elimination and Gauss-Jordan programs. NOTE: BY USING C PROGRAMMING PLEASE SOLVE THIS QUESTION STEP BY STEP TO UNDERSTAND WELL.THE SUBJECT (Numerical Methods for Engineers) THANK YOU FOR HELPING AND HAVE A NICE DAY. I WILL RATE THE COMPLETE ANSWERCorrect answer will be upvoted else downvoted. Computer science. At whatever point a robot arrives at a divider, it pivots right away and proceeds with his ride the other way with a similar speed. At whatever point a few robots meet at a similar integer organize, they impact and detonate into dust. When a robot has detonated, it doesn't slam into some other robot. Note that if a few robots meet at a non-integer facilitate, nothing occurs. For every robot see whether it at any point detonates and print the hour of blast on the off chance that it occurs and −1 in any case. Input The primary line contains a solitary integer t (1≤t≤1000) — the number of testcases. Then, at that point, the depictions of t testcases follow. The primary line of each testcase contains two integers n and m (1≤n≤3⋅105; 2≤m≤108) — the number of robots and the organize of the right divider. The second line of each testcase contains n integers x1,x2,… ,xn (0<xi<m) — the beginning…You are given an exam with questions numbered 1, 2, 3, . . . , n. Each question i is worth pi points and has a frustration score fi . You must answer the questions in order, but you may choose to skip some questions. The reason you might choose to do this is that even though you can solve any individual question i and obtain the ???? points, some questions are so frustrating that after solving them you will be unable to solve any of the following fi questions. Suppose that you are given the pi and fi values for all the questions as input. Devise an efficient algorithm you can for choosing a set of questions to answer that maximizes your total points, and compute its asymptotic worst case running time as a function of n.
- 3: The function f(x)= max x, searches for the maximum value between a number. Prove formally that the function f(x) is convex.Determine whether the statement below is true or false. Justify the answer. A general solution of a system is an explicit description of all solutions of the system. Choose the correct answer below. A. The statement is false. Each different choice of a free variable produces the same solution of the system. B. The statement is true. After applying the row reduction algorithm and generating a general solution of a system, the rightmost column displays all of the particular solutions of that system. C. The statement is false. A general solution is the result of an inconsistent system, which has no particular solution. D. The statement is true. The row reduction algorithm leads directly to an explicit description of the solution set of a linear system when the algorithm is applied to the augmented matrix of the system, leading to a general solution of a system.True or False 1. Matrices are often represented by single small letters a, b, c... etc.2. Two m x n matrices A and B are equal if aij=bij for each i & j. (i.e., the two matrices havesame size, and all the corresponding elements are equal).3. Matrices A & B are said to be conformable in the order AB if, and only if, the number ofrows in A is equal to the number of columns in B.4. Suppose Matrix A is having 4 rows and 3 columns, and Matrix B is having 3 rows and 2columns. The product size of AB is a 4 x 2 matrix.5. Suppose B is the matrix obtained from an n x n matrix A by multiplying the entries in arow/column by a non-zero constant and adding the result to the corresponding entries inanother row/column. Then, det(B) = det(A).