You are given a sequence of integers A1, A2,..., AN. You should process Q queries. In each query: • You are given two integer parameters id and v. • Change the value of Aid to v. • Then, consider all ways to partition the sequence A1, A2, . .., An into multisets M1, M,., MK (for an arbitrary K > 1) such that: o Each element of A is assigned to exactly one multiset. • The medians of all multisets are the same. .... • Find the maximum possible value of K, i.e. the maximum number of multisets in such a partition. The median of a multiset is defined as follows: Consider the multiset as a sequence sorted in non-decreasing order. If its size is odd, the median is the middle element. If it is even, there are two integers in the middle and the median is the smaller one (either one if they are equal). Note that a multiset may contain duplicate elements, so if æ elements of A with identical values are assigned to the same multiset, that multiset will contain the same integer x times.

You are given a sequence of integers A1, A2,..., AN. You should process Q queries. In each query: • You are given two integer parameters id and v. • Change the value of Aid to v. • Then, consider all ways to partition the sequence A1, A2, . .., An into multisets M1, M,., MK (for an arbitrary K > 1) such that: o Each element of A is assigned to exactly one multiset. • The medians of all multisets are the same. .... • Find the maximum possible value of K, i.e. the maximum number of multisets in such a partition. The median of a multiset is defined as follows: Consider the multiset as a sequence sorted in non-decreasing order. If its size is odd, the median is the middle element. If it is even, there are two integers in the middle and the median is the smaller one (either one if they are equal). Note that a multiset may contain duplicate elements, so if æ elements of A with identical values are assigned to the same multiset, that multiset will contain the same integer x times.

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

See similar textbooks

Similar questions

What is the security requirement on password hashing? Given a password w, its hash is calculated as . This question is about the security requirement on function h. (a) Can we use any function as h for password hashing? For example, can we use the "mod 100" function, which is a common computer science function? (Given any integer value x, "mod 100" function works by "x mod 100," which is a value between [0, 99]; for example, if x = 105, x mod 100 = 5; x = 1000000, x mod 100 = 0;) (b) If not, what is the security requirement on h?
I need to show the worst-case and average-case time complexities for the number of assignments of records performed by the Exchange Sort algorithm, given by
Implement the following Racket functions: Symmetric? Input: a list of pairs, L. Interpreting L as a binary relation, Symmetric? returns #t if L is a symmetric relation and #f otherwise. Examples: (display "Symmetric?\n") (Symmetric? '((a a) (a b) (b a) (b c) (c b))) ---> #t (Symmetric? '((a a) (a b) (a c) (c a))) ---> #f (Symmetric? '((a a) (b b))) ---> #t (Symmetric? '()) ---> #t
Thus, persons are represented as pairs of integers: e = (birth, size), where the first number represents the date of birth of the person and the second his leg size. Date of birth is key. Describe how to expand the data structure of the skip list to respond effectively to the query: Max (d1, d2), which returns the date of birth of the person with the largest leg and born between dates d1 and d2.
A deque DQUE is to be implemented using a circular one-dimensional array of size N. Execute procedures to:i) insert and delete elements from DQUE at either end;ii) implement DQUE as an output restricted deque;iii) implement DQUE as an input restricted deque;iv) for the procedures, what are the conditions used for testing whether DQUE is full (DQUE_FULL) and empty (DQUE_EMPTY)?
Write a function that, given a list of non-overlapping intervals of items, takes an item as an input and identifies which, if any, interval that item lies in. If the items are integers and the intervals are 1643-2033, 5532-7643, 8999-10332, 5666653-5669321, then the query point 9122 is in the third interval while 8122 is not.
Given a list of non-overlapping intervals of items, write a function that takes an item as argument and determines in which, if any, interval that item lies. For example, if the items are integers and the intervals are 1643-2033, 5532-7643, 8999-10332, 5666653-5669321, then the query point 9122 lies in the third interval and 8122 lies in no interval.
Given the array of size 17, and the hashing function h(x) = x%17, at which array location would data with key value 86 be stored? Assuming 35 and 69 have already been inserted in the array and the quadratic probing is used for collision. Question 10 options: 6 5 4 3
Hey, Explain why using the following functions f1 and f2 as hash functions for a hash table of size m of integers is problematic. Here m is a prime number.1. f1(x)= xHere x denotes the cross sum of x. 2. f2(x)=⌊x/m⌋ mod m Thank you in advance!
Please help questions below: How good is the provided hash function--are we really getting constant time operations with our hashmap? Explain. What is one other way you could implement the hash function? Anything creative is acceptable in this answer, but justify how your hashing function works. If I have to resize the hashmap to add more buckets, what is th Big-O complexity when you resize? (Explain why) What is 'open addressing' in regards to hash maps and hash tables?
Consider a hash table (hash function and hashing scheme) and its maincharacteristics.Which of the following is FALSE ?O A hash function's output is deterministic.O Linear Probe Hashing is the most basic hash function.O A hash table provides on average O(1) operation complexity.O A hashing scheme handles key collisions after hashing.
) A deque DQUE is to be implemented using a circular one-dimensional arrayof size N. Execute procedures to:i) insert and delete elements from DQUE at either end;ii) implement DQUE as an output restricted deque;iii) implement DQUE as an input restricted deque;iv) for the procedures, what are the conditions used for testing whether DQUE isfull (DQUE_FULL) and empty (DQUE_EMPTY)?