AVA IN & Code.

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

JAVA IN & Code. 

 

 

 

You are given an integer A. Let's define an infinite sequence
S(A) = A%P, A²%P, A³%P,..., where P = 108 +7 is a prime and % is
the modulo operator.
Let's also define a decreasing sum D(S) as the sum of all elements of a
sequence S which are strictly smaller than all preceding elements of S. When S is
a sequence of non-negative integers, the number of such elements is clearly finite.
Find D(S(A)).
Input
• The first line of the input contains a single integer T denoting the number of
test cases. The description of T test cases follows.
• The first and only line of each test case contains a single integer A.
Output
For each test case, print a single line containing one integer D(S(A)).
Input
Output
2
3
2
100000006
100000007
Transcribed Image Text:You are given an integer A. Let's define an infinite sequence S(A) = A%P, A²%P, A³%P,..., where P = 108 +7 is a prime and % is the modulo operator. Let's also define a decreasing sum D(S) as the sum of all elements of a sequence S which are strictly smaller than all preceding elements of S. When S is a sequence of non-negative integers, the number of such elements is clearly finite. Find D(S(A)). Input • The first line of the input contains a single integer T denoting the number of test cases. The description of T test cases follows. • The first and only line of each test case contains a single integer A. Output For each test case, print a single line containing one integer D(S(A)). Input Output 2 3 2 100000006 100000007
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
C-string
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.
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