Pantelija was given a sequence of positive integers a1, a2, . .., aN. Let's define the gcd value of this sequence as the number of its non-empty contiguous subsequences with greatest common divisor strictly greater than 1. The greatest common divisor of any contiguous subsequence a1, aļ41,-..,a, ( 1
Pantelija was given a sequence of positive integers a1, a2, . .., aN. Let's define the gcd value of this sequence as the number of its non-empty contiguous subsequences with greatest common divisor strictly greater than 1. The greatest common divisor of any contiguous subsequence a1, aļ41,-..,a, ( 1
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
100%
Example Input
5
4 5 10 3 7
Example Output
9

Transcribed Image Text:Pantelija was given a sequence of positive integers a1, a2, .., an. Let's define
the gcd value of this sequence as the number of its non-empty contiguous
subsequences with greatest common divisor strictly greater than 1. The greatest
common divisor of any contiguous subsequence a1, a¡+1,.., ar (
1<l<r<N)is the greatest positive integer which divides each element of
this subsequence.
Pantelija wants to maximise the gcd value of this sequence. In order to do that, he
may choose a valid index i, an integer b (1<b<5•10°, since he does not like
large numbers) and change the element a; to b. What is the maximum possible
gcd value he can obtain?
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