Find out the running time of program

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1. Given two sorted lists, L1 and L2, write a procedure to compute L1 ∪ L2 using only the basic list operations.

2. The Josephus problem is the following game: people, numbered 1 to N, are sitting in a circle. Starting at person 1, a hot potato is passed. After passes, the person holding the hot potato is eliminated, the circle closes ranks, and the game con- tinues with the person who was sitting after the eliminated person picking up the hot potato. The last remaining person wins. Thus, if = 0 and = 5, players are eliminated in order, and player 5 wins. If = 1 and = 5, the order of elimination is 2, 4, 1, 5.

a. Write a program to solve the Josephus problem for general values of and N. Try to make your program as ef?cient as possible. Make sure you dispose of cells.

b. What is the running time of your program?

c. If = 1, what is the running time of your program? How is the actual speed affected by the delete routine for large values  of (100,000)?

Reference no: EM13968066

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