An algorithm takes 10 seconds for an input size of 50. If the algorithm is quadratic, approx- imately how long does it take to solve a problem of size 100? (a) 10 seconds (b) 20 seconds (c) 40 seconds (d) 100 seconds (e) none of the above An algorithm takes 30 seconds for an input of size 1000. If the algorithm is quadratic, how large a problem can be solved in two minutes? (a) 2000 (b) 4000 (c) 6000 (d) 60000 (e) none of the above

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
Section: Chapter Questions
Problem 1PE
icon
Related questions
Question
An algorithm takes 10 seconds for an input size of 50. If the algorithm is quadratic, approx-
imately how long does it take to solve a problem of size 100?
(a) 10 seconds
(b) 20 seconds
(c) 40 seconds
(d) 100 seconds
(e) none of the above
An algorithm takes 30 seconds for an input of size 1000. If the algorithm is quadratic, how
large a problem can be solved in two minutes?
(a) 2000
(b) 4000
(c) 6000
(d) 60000
(e) none of the above
An algorithm takes 6 seconds to solve a problem of size 100 and ten minutes to solve a problem
of size 1000. What is the likely running time of the algorithm?
(a) constant
(b) linear
(c) quadratic
(d) cubic
(e) none of the above
Transcribed Image Text:An algorithm takes 10 seconds for an input size of 50. If the algorithm is quadratic, approx- imately how long does it take to solve a problem of size 100? (a) 10 seconds (b) 20 seconds (c) 40 seconds (d) 100 seconds (e) none of the above An algorithm takes 30 seconds for an input of size 1000. If the algorithm is quadratic, how large a problem can be solved in two minutes? (a) 2000 (b) 4000 (c) 6000 (d) 60000 (e) none of the above An algorithm takes 6 seconds to solve a problem of size 100 and ten minutes to solve a problem of size 1000. What is the likely running time of the algorithm? (a) constant (b) linear (c) quadratic (d) cubic (e) none of the above
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Time complexity
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education