distinct components in the cluster, add 1 to the first, and take away 1 from the second. In any case, every one of the components of a need to stay non-negative after this activity.    What is lexicographically the littlest exhibit you can get?    A cluster x is lexicographically

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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pick 2 distinct components in the cluster, add 1 to the first, and take away 1 from the second. In any case, every one of the components of a need to stay non-negative after this activity. 

 

What is lexicographically the littlest exhibit you can get? 

 

A cluster x is lexicographically more modest than an exhibit y if there exists a list I to such an extent that xi<yi, and xj=yj for all 1≤j<i. Less officially, at the principal list I in which they vary, xi<yi. 

 

Input 

 

The principal line contains an integer t (1≤t≤20) – the number of experiments you really wanted to tackle. 

 

The primary line of each experiment contains 2 integers n and k (2≤n≤100, 1≤k≤10000) — the number of components in the cluster and the greatest number of tasks you can make. 

 

The subsequent line contains n space-isolated integers a1, a2, … , an (0≤ai≤100) — the components of the cluster a. 

 

Output 

 

For each experiment, print the lexicographically littlest exhibit you can get after all things considered k tasks.

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