You are facing a high wall that stretches infinitely in both directions. There is a door in thewall, but you don’t know how far away, or in which direction it is. It is pitch dark, but you have a very dimlighted candle that will enable you to see the door while you are immediately next to it. Show that thereis an algorithm that enables you to find the door by walking at mostO(n) steps, wherenis the numberof steps that you would have taken if you knew where the door is and walked directly to it. What is theconstant multiple in the big-O bound for your algorithm?

Reading characters and strings from the keyboard: consider the following c++ program 1. #include 2. #include 3. using namespace std; 4. mystring1 5. 6. int main() 7. { 8. 9. string mystring1, mystring2; mychar1 10. 11. 12. char mychar1, mychar2; 13. 14. cout< < "enter a string: "; mychar2 15. 16. cin> > mystring1; // 17. cin.get(mychar1); 18. cin> > mychar2; 19. getline(cin,mystring2); mystring2 20. 21. 22. cout<

1. package newton’s method for approximating square roots (case study 3.6) in a function named newton. this function expects the input number as an argument and returns the estimate of its square root. the script should also include a main function that allows the user to compute square roots of inputs until she presses the enter/return key. 2. convert newton’s method for approximating square roots in project 1 to a recursive function named newton. (hint: the estimate of the square root should be passed as a second argument to the function.) 3. elena complains that the recursive newton function in project 2 includes an extra argument for the estimate. the function’s users should not have to provide this value, which is always the same, when they call this function. modify the definition of the function so that it uses a keyword parameter with the appropriate default value for this argument, and call the function without a second argument to demonstrate that it solves this problem. 4. restructure newton’s method (case study 3.6) by decomposing it into three cooperating functions. the newton function can use either the recursive strategy of project 1 or the iterative strategy of case study 3.6. the task of testing for the limit is assigned to a function named limitreached, whereas the task of computing a new approximation is assigned to a function named improveestimate. each function expects the relevant arguments and returns an appropriate value. 5. a list is sorted in ascending order if it is empty or each item except the last one is less than or equal to its successor. define a predicate issorted that expects a list as an argument and returns true if the list is sorted, or returns false otherwise. (hint: for a list of length 2 or greater, loop through the list and compare pairs of items, from left to right, and return false if the first item in a pair is greater.)

Type the correct answer in the box. spell all words correctly. under which key category do the page up and page down keys fall? page up and page down keys fall under the keys category.