The following binary search tree (BST) operations can be implemented efficiently on splay trees. For simplicity, assume that all elements are distinct. Join (Tı,T2): Assume every element in BST Tı is less than or equal to every element in BST T2, and returns the BST formed by combining the trees Ti and T2 SpLit (T, a): Split BST T, containing element a, into two BSTs: Ti containing all elements in T with key less or equal to a; and T2, con- taining all elements in T with key greater than a. Show how to correctly implement those operations on splay trees so that the amortized running time of your operations is O(log n). Justify your procedures and their corresponding running times. Would you be able to also implement the JoIN and SPLIT operations on a Red-Black tree in O(log n) worst-case running time?
Briefly justify your answer.

Write a pseudocode solution for each of these problems. 1. design a while loop that lets that user enter a number. the number should be multiplied by 10, and the result stored in a variable named product. the loop should iterate as long as product contains a value less than 100. 2. design a do-while loop that asks the user to enter two numbers. the numbers should be added and the sum displayed. the loop should ask the user whether he or she wishes to perform the operation again. if so, the loop should repeat; otherwise it should terminate. 3. design a for loop that displays the following set of numbers: 0, 10, 20, 30, 40, 50 100. 4. design a nested loop that displays 10 rows of # characters. there should be 15 # characters in each row. 5. convert this for loop to a while loop. declare integer count for count = 1 to 50 display count end for 6. find the error in the following pseudocode. declare boolean finished = false declare integer value, cube while not finished display “enter a value to be cubed.” input value; set cube = value ^ 3 display value, “ cubed is “, cube end while

Visualizing a game of “tag” to remember the meaning of contagious

Hey i really need some solving this problem: 1. encrypt this binary string into cipher text: 110000. include in your answer the formula the decoder would use to decrypt your cipher text in the format (coded answer) x n mod (m) = y & 2. decrypt this cipher text into a binary string: 106 you.