You are given a multiset S. Over all pairs of subsets A and B, such that: • BC A; • \B| = |A| – 1; greatest common divisor of all elements in A is equal to one; find the sum of ErEA x · EreR x, modulo 998 244 353. xEB Input The first line contains one integer m (1 < m < 10°): the number of different values in the multiset S. Each of the next m lines contains two integers a;, freq; ( 1< a; < 10°, 1 < freq; < 10°). Element a; appears in the multiset S freq; times. All a; are different. Output Print the required sum, modulo 998 244 353.

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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You are given a multiset S. Over all pairs of subsets A and B, such that:
• BC A;
|B| = |A| – 1;
greatest common divisor of all elements in A is equal to one;
-
find the sum of ErEA r · EnER x, modulo 998 244 353.
x€A
x€B
Input
The first line contains one integer m (1 < m < 10°): the number of different
values in the multiset S.
Each of the next m lines contains two integers a;, freq; (
1< a; < 10°, 1 < freq; < 10°). Element a; appears in the multiset S freq;
times. All a; are different.
Output
Print the required sum, modulo 998 244 353.
Transcribed Image Text:You are given a multiset S. Over all pairs of subsets A and B, such that: • BC A; |B| = |A| – 1; greatest common divisor of all elements in A is equal to one; - find the sum of ErEA r · EnER x, modulo 998 244 353. x€A x€B Input The first line contains one integer m (1 < m < 10°): the number of different values in the multiset S. Each of the next m lines contains two integers a;, freq; ( 1< a; < 10°, 1 < freq; < 10°). Element a; appears in the multiset S freq; times. All a; are different. Output Print the required sum, modulo 998 244 353.
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