Another sense in which P is robust is that it allows one program to use another as a subroutine. If an algorithm B runs in polynomial time, and an algorithm A performs a polynomial number of steps, some of which call B as a subroutine, show that A also runs in polynomial time. Furthermore assume that B returns a Boolean, i.e., it also solves a decision problem. (Though not required, if you like, discuss how this could be false if B, although a polynomial-time algorithm, is allowed to return a string rather than a Boolean.)

Another sense in which P is robust is that it allows one program to use another as a subroutine. If an algorithm B runs in polynomial time, and an algorithm A performs a polynomial number of steps, some of which call B as a subroutine, show that A also runs in polynomial time. Furthermore assume that B returns a Boolean, i.e., it also solves a decision problem. (Though not required, if you like, discuss how this could be false if B, although a polynomial-time algorithm, is allowed to return a string rather than a Boolean.)

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter15: Recursion

Section: Chapter Questions

Problem 7SA

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