4. There is an array with \( n \) integers, but the values are hidden to us. Our goal is to partition the elements into groups based on their values — elements in the same group should have the same value, while elements in different groups have different values. The values are hidden to us so you cannot directly call for a value, like \( \text{Arr}[i] \). However, we can probe the array by calling the function \( \text{query}() \). The function takes a subset of elements as inputs and returns the number of unique integers in this subset. Design an algorithm to partition these \( n \) elements in \( O(n \log n) \) queries. (\( \text{query}() \) is called \( O(n \log n) \) times).

There is an array with a integers,but the values are hidden to us.Our goal is to partition the…

There is an array with n integers, but the values are hidden to us. Our goal is to partition the elements into groups based on their values – elements in the same group should have the same value, while elements in different groups have different values. The values are hidden to us so you cannot directly call for a value, like Arr[i]. However, we can probe the array by calling the function query(). The function takes a subset of elements as inputs and returns the number of unique integers in this subset. Design an algorithm to partition these n elements in O(nlog n) queries. (query() is called O(nlogn) times) 4.

There is an array with n integers, but the values are hidden to us. Our goal is to partition the elements into groups based on their values – elements in the same group should have the same value, while elements in different groups have different values. The values are hidden to us so you cannot directly call for a value, like Arr[i]. However, we can probe the array by calling the function query(). The function takes a subset of elements as inputs and returns the number of unique integers in this subset. Design an algorithm to partition these n elements in O(nlog n) queries. (query() is called O(nlogn) times) 4.

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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4. There is an array with \( n \) integers, but the values are hidden to us. Our goal is to partition the elements into groups based on their values — elements in the same group should have the same value, while elements in different groups have different values. The values are hidden to us so you cannot directly call for a value, like \( \text{Arr}[i] \). However, we can probe the array by calling the function \( \text{query}() \). The function takes a subset of elements as inputs and returns the number of unique integers in this subset. Design an algorithm to partition these \( n \) elements in \( O(n \log n) \) queries. (\( \text{query}() \) is called \( O(n \log n) \) times).

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