Artificial Intelligence Programming Assignment :: Essays Papers

Artificial Intelligence Programming AssignmentProblem StatementsEight-Queens PuzzleIs it possible to place eight Queens on a chessboard, so that none of the Queens occupy the same row, column, or diagonal?Binary calculateDepth-First & Breadth-First SearchNewtons MethodTake a calculate whose square melodic theme is to be calculated, any positive number.Take a guess at the numbers square root.Calculate the square root by improving on the current guess as indicatedNext guess = (number/ current guess + current guess)/ 2Repeat this process until the dispute between the following guess and the current is within the accepted level of accuracy. The better your guess, the fewer the number of iterations needed to get the square root. A life-threatening first guess is typically half the number whose square root is to be calculated. The process is ten repeated until the desired accuracy is achieved.Newton-Raphson Method cook a root of the equation f(x) = x3-x2-9x+9 = 0 using the Newton-R aphson method if the initial guess is x1 = 1.5.Gauss-Siedel Method Solve the following set of one-dimensional simultaneous equations using the Gauss-Seidel method10x1 + 2x2 + 3x3 = 11 X1 + 5x2 + 2x3 = 20 3x1 + 2x2 + 6x3 = -12Theoretical SolutionsEight-Queens Puzzle1.Pick a position for the Queen2.If legal, go to next row.3.If illegal, pick the next position.4.If no legal position is found, back up to one row.If legal positions are found for all eight rows, the problem is solved.Binary SearchSearch the current node value to see if it equals the search value.If the search value is smaller than the current value, make the current node the left nipper node. progress to the current node the right child node.Depth-First & Breadth-First SearchDepth-First Search Searches as far down the left side of the binary tree.When it encounters, NULL, the search switches to the bottom-most right child and resumes.Breadth-First Search Remove a node from the queue. This becomes the c urrent node.Place all child nodes of the current node onto the queue.Newtons MethodGet a positive number whose square root is to be calculated from the user.Get the desired precision.While more numbers remain, calculate firs guess, x0.RepeatXn = 0.5 * (X (n-1) + Number/ X (n-1))Until abs (Xn - X (n 1)) *= Desired precisionGet a positive number whose square root is to be calculated from the user.Get the desired precision.End small-armNewton-Raphson Method1.Set number of iterations num_iter to zero.