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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Example Input

4 5 10 3 7

Example Output

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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