Give an efficient algorithm to compute the union of sets A and B, where n =...
Give an efficient algorithm to compute the union of sets
A and B, where n = max(|A|,
|B|). The
output should be an array of distinct elements that form the union
of the sets, such that they
appear exactly once in the union. Assume that A and
B are unsorted. Give an O(n log
n) time
algorithm for the problem.
Homework Answers
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Give an efficient algorithm to compute the union of sets
A and B, where n =...
Design an algorithm for the following description. Solution can be done in pseudo-code or steps of...
Design an algorithm for the following description. Solution can
be done in pseudo-code or steps of the algorithm.
Describe and analyze an algorithm that takes an unsorted array A of n integers (in an unbounded range) and an integer k, and divides A into k equal-sized groups, such that the integers in the first group are lower than the integers in the second group, and the integers in the second group are lower than the integers in the third group,...
Question3 10 pts Let A [L.n] be a max-heap with n > 1 and consider the index ị such that l 〈 i 〈 n . Assume that a...
Question3 10 pts Let A [L.n] be a max-heap with n > 1 and consider the index ị such that l 〈 i 〈 n . Assume that all the elements of A are distinct. Write the pseudocode of an algorithm which replaces A [i] by A i 100 and then re-arranges the elements of A into a max-heap. The running time of your algorithm must be O (log, n Upload Choose a File
Question3 10 pts Let A [L.n]...
ALGORITHM PROBLEM: A) Significant Inversions: We are given a sequence of n arbitrary but distinct real...
ALGORITHM PROBLEM: A) Significant Inversions: We are given a sequence of n arbitrary but distinct real numbers <a1 , a2 ,..., an>. We define a significant inversion to be a pair i < j such that ai > 2 aj . Design and analyze an O(n log n) time algorithm to count the number of significant inversions in the given sequence. [Hint: Use divide-&-conquer. Do the “combine” step carefully] B) The Maximum-Sum Monotone Sub-Array Problem: Input: An array A[1..n] of...
Please answer this in python pseudocode. It's an algorithm question. 1. [10 marks] Consider the function...
Please answer this in python
pseudocode. It's an algorithm question.
1. [10 marks] Consider the function SumKSmallest(A[0..n – 1), k) that returns the sum of the k smallest elements in an unsorted integer array A of size n. For example, given the array A=[6,-6,3,2,1,2,0,4,3,5] and k=3, the function should return -5. a. [3 marks) Write an algorithm in pseudocode for SumKSmallest using the brute force paradigm. Indicate and justify (within a few sentences) the time complexity of your algorithm. b....
(a) Give the pseudo-code for a recursive algorithm called Find_Smallest(A, n) that returns the value of...
(a) Give the pseudo-code for a recursive algorithm called Find_Smallest(A, n) that returns the value of the smallest element in an array of n integers called A. Assume the elements in the array are at locations A[1]..A[n]. (b) Give a recurrence T(n) for the running time of your algorithm. (c) Solve the recurrence in part (b)
Consider the following pseudocode: Algorithm RecursiveFunction (a, b) // a and b are integers if (as1...
Consider the following pseudocode: Algorithm RecursiveFunction (a, b) // a and b are integers if (as1 ) return b; else return RecursiveFunction (a-2, a/2); endif a. What is the time complexity of the RecursiveFunction pseudocode shown above? b What is the space complexity of the RecursiveFunction pseudocode shown above? n(n+1) C. What is the time complexity of the following algorithm (Note that 21-, i = n(n+1)(2n+1). and Σ.,1 ): Provide both T(n) and order, Ofn)). int A=0; for (int i=0;i<n;i++)...
I need help In the lecture you got acquainted with the median algorithm, which calculates the median of an unsorted array with n∈N elements in O (n). But the algorithm can actually do much more: it is...
I need help In the lecture you got acquainted with the median algorithm, which calculates the median of an unsorted array with n∈N elements in O (n). But the algorithm can actually do much more: it is not limited to finding only the median, but can generally find the ith element with 0≤i <n. Implement this generic version of the median algorithm by creating a class selector in the ads.set2.select package and implementing the following method: /** * Returns the...
Subject: Algorithm need this urgent please thank you. 4. Give pseudocode for an algorithm that will solve the following problem. Given an array A[1..n) that contains every number between 1 and n +...
Subject: Algorithm
need this urgent please thank you.
4. Give pseudocode for an algorithm that will solve the following problem. Given an array A[1..n) that contains every number between 1 and n +1 in order, except that one of the numbers is missing. Find the miss sorted ing mber. Your algorithm should run in time (log n). (Hint: Modify Binary search). A pseudocode means an algorithm with if statements and loops, etc. Don't just write a paragraph. Also, if your...
Let T be a heap storing n keys. Give an efficient algorithm for reporting all the...
Let T be a heap storing n keys. Give an efficient algorithm for
reporting all
the keys in T that are smaller than or equal to a given query key x
(which is
not necessarily in T). For example, given the heap of Figure 5.6
and query key
x = 7, the algorithm should report 4, 5, 6, 7. Note that the keys
do not need to be
reported in sorted order. Ideally, your algorithm should run in
O(k) time,...
the programming language is in java Problem 2 You are given an array A with n...
the
programming language is in java
Problem 2 You are given an array A with n distinct elements. Implement an (n log n)-time algorithm that creates an array B where all elements are in range from 0 to n - 1 and where the order of elements is the same as in A. That is, 0 has the same index in B as the smallest element in A, 1 has the same index in B as the second smallest element...
Design an algorithm for the following description. Solution can
be done in pseudo-code or steps of the algorithm.
Describe and analyze an algorithm that takes an unsorted array A of n integers (in an unbounded range) and an integer k, and divides A into k equal-sized groups, such that the integers in the first group are lower than the integers in the second group, and the integers in the second group are lower than the integers in the third group,...
Question3 10 pts Let A [L.n] be a max-heap with n > 1 and consider the index ị such that l 〈 i 〈 n . Assume that all the elements of A are distinct. Write the pseudocode of an algorithm which replaces A [i] by A i 100 and then re-arranges the elements of A into a max-heap. The running time of your algorithm must be O (log, n Upload Choose a File
Question3 10 pts Let A [L.n]...
Please answer this in python
pseudocode. It's an algorithm question.
1. [10 marks] Consider the function SumKSmallest(A[0..n – 1), k) that returns the sum of the k smallest elements in an unsorted integer array A of size n. For example, given the array A=[6,-6,3,2,1,2,0,4,3,5] and k=3, the function should return -5. a. [3 marks) Write an algorithm in pseudocode for SumKSmallest using the brute force paradigm. Indicate and justify (within a few sentences) the time complexity of your algorithm. b....
Consider the following pseudocode: Algorithm RecursiveFunction (a, b) // a and b are integers if (as1 ) return b; else return RecursiveFunction (a-2, a/2); endif a. What is the time complexity of the RecursiveFunction pseudocode shown above? b What is the space complexity of the RecursiveFunction pseudocode shown above? n(n+1) C. What is the time complexity of the following algorithm (Note that 21-, i = n(n+1)(2n+1). and Σ.,1 ): Provide both T(n) and order, Ofn)). int A=0; for (int i=0;i<n;i++)...
Subject: Algorithm
need this urgent please thank you.
4. Give pseudocode for an algorithm that will solve the following problem. Given an array A[1..n) that contains every number between 1 and n +1 in order, except that one of the numbers is missing. Find the miss sorted ing mber. Your algorithm should run in time (log n). (Hint: Modify Binary search). A pseudocode means an algorithm with if statements and loops, etc. Don't just write a paragraph. Also, if your...
Let T be a heap storing n keys. Give an efficient algorithm for
reporting all
the keys in T that are smaller than or equal to a given query key x
(which is
not necessarily in T). For example, given the heap of Figure 5.6
and query key
x = 7, the algorithm should report 4, 5, 6, 7. Note that the keys
do not need to be
reported in sorted order. Ideally, your algorithm should run in
O(k) time,...
the
programming language is in java
Problem 2 You are given an array A with n distinct elements. Implement an (n log n)-time algorithm that creates an array B where all elements are in range from 0 to n - 1 and where the order of elements is the same as in A. That is, 0 has the same index in B as the smallest element in A, 1 has the same index in B as the second smallest element...
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