Problem 1: (a) Draw a state diagram for a push-down automata that will determine if n divides x. The input is of the form #111...#2222....# where there are n 1's and x 2's. N>= 2 and x >3= >= n. (b) Suppose we input x as #222...# where there are x 2's. Use the idea from part (a) to determine the smallest number >= 2 that divides x.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Problem 1:
(a) Draw a state diagram for a push-down automata that will
determine if n divides x. The input is of the form
#111...#2222...# where there are n 1's and x 2's. N >= 2 and x
>= n.
(b) Suppose we input x as #222...# where there are x 2's. Use
the idea from part (a) to determine the smallest number >= 2
that divides x.
Transcribed Image Text:Problem 1: (a) Draw a state diagram for a push-down automata that will determine if n divides x. The input is of the form #111...#2222...# where there are n 1's and x 2's. N >= 2 and x >= n. (b) Suppose we input x as #222...# where there are x 2's. Use the idea from part (a) to determine the smallest number >= 2 that divides x.
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