Answered: You are given two integers n and k.…

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

Correct answer will be upvoted else downvoted. Computer science.

You are given two integers n and k.

You ought to make a variety of n positive integers a1,a2,… ,a to such an extent that the total (a1+a2+⋯+an) is distinguishable by k and greatest component in an is least conceivable.

What is the base conceivable most extreme component in a?

Input

The primary line contains a solitary integer t (1≤t≤1000) — the number of experiments.

The solitary line of each experiment contains two integers n and k (1≤n≤109; 1≤k≤109).

Output

For each experiment, print one integer — the base conceivable most extreme component in cluster a to such an extent that the aggregate (a1+⋯+an) is distinct by k.

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