given an exhibit an of n (n≥2) positive integers and an integer p. Consider an undirected weighted chart of n vertices numbered from 1 to n for which the edges between the vertices I and j (i

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
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Correct answer will be upvoted else downvoted. Computer science.

 

 

You are given an exhibit an of n (n≥2) positive integers and an integer p. Consider an undirected weighted chart of n vertices numbered from 1 to n for which the edges between the vertices I and j (i<j) are included the accompanying way: 

 

In the event that gcd(ai,ai+1,ai+2,… ,aj)=min(ai,ai+1,ai+2,… ,aj), there is an edge of weight min(ai,ai+1,ai+2,… ,aj) among I and j. 

 

On the off chance that i+1=j, there is an edge of weight p among I and j. 

 

Here gcd(x,y,… ) means the best normal divisor (GCD) of integers x, y, .... 

 

Note that there could be different edges among I and j if both of the above conditions are valid, and assuming both the conditions fall flat for I and j, there is no edge between these vertices. 

 

The objective is to find the heaviness of the base crossing tree of this chart. 

 

Input 

 

The main line contains a solitary integer t (1≤t≤104) — the number of experiments. 

 

The principal line of each experiment contains two integers n (2≤n≤2⋅105) and p (1≤p≤109) — the number of hubs and the boundary p. 

 

The subsequent line contains n integers a1,a2,a3,… ,an (1≤ai≤109). 

 

It is ensured that the amount of n over all experiments doesn't surpass 2⋅105. 

 

Output 

 

Output t lines. For each experiment print the heaviness of the comparing diagram

 

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