&5When S is a sequence of non-negative integers, the number of such elements is clearly finite. Find D(S(A)). Input • .
&5When S is a sequence of non-negative integers, the number of such elements is clearly finite. Find D(S(A)). Input • .
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
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Question
&5When S is a sequence of non-negative integers, the number of such elements is clearly finite. Find D(S(A)). Input • .
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe30badf0-530e-48d8-80be-0fdb11dd399b%2Fa75bf794-d6ec-4571-9c26-2150bb1d1245%2Fis3ko5c_processed.jpeg&w=3840&q=75)
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
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