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
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There is an array with n integers, but the values are hidden to us. Our goal is to partition the
elements in the same group should have the same value,
4.
elements into groups based on their values
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(nlog n) times)
Transcribed Image Text:There is an array with n integers, but the values are hidden to us. Our goal is to partition the elements in the same group should have the same value, 4. elements into groups based on their values 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(nlog n) times)
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