Write pseudocode to solve the following problem: You are given an array A[1...n] whose each element...
Write pseudocode to solve the following problem:
You are given an array A[1...n] whose each element is a point of the plane (x,y). You need to sort the array so that points with lower x-coordinates come earlier, but among points with the same x-coordinate, the ones with larger y-coordinate come earlier.
So, for example, if the array contains:
(1,2), (1,4), (7,10), (11,3), (14,1), (7,2)
The output, in this case, should be:
(1,4), (1,2), (7,10), (7,2), (11,3), (14,1)
Analyze the running time of your algorithm as a function of n
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Write pseudocode to solve the following problem:
You are given an array A[1...n] whose each element...
Given an n-element unsorted array A of n integers and an integer k, describe and implement...
Given an n-element unsorted array A of n integers and an integer k, describe and implement a recursive algorithm for rearranging the elements in A so that all elements less than or equal to k come before any elements larger than k. What is the running time of your algorithm? Please prove the running time in the comments . in c++ please
3 Quicksort 10 points (5 points each) 1. Suppose that you are given an array A[1..n]...
3 Quicksort 10 points (5 points each) 1. Suppose that you are given an array A[1..n] and that you want to sort it using quicksort. Further suppose that your algorithm could consult an oracle to predict what element to use as the pivot. Which element would it pick so that your algorithm would run as fast as possible? What is the running time given your pivot? 2. Run the partition algorithm to partition the array A (6,7,2,4, 10,8, 1,9)
Problem 2. Consider sorting n numbers stored in array A by first finding the smallest element...
Problem 2. Consider sorting n numbers stored in array A by first finding the smallest element of A and exchanging it with the element in A[1]. Then find the second smallest element of A, and exchange it with A[2]. Continue in this manner for the first n − 1 elements of A. a. Write pseudocode for this algorithm, which is known as selection sort. b. Why does it need to run for only the first n−1 elements, rather than for...
4) [15 points total (5 points each)] Assume you are given a sorted array A of n numbers, where A is indexed from 1 up t...
4) [15 points total (5 points each)] Assume you are given a sorted array A of n numbers, where A is indexed from 1 up to n, anda number num which we wish to insert into A, in the proper sorted position. The function Search finds the minimum index i such that num should be inserted into Ali]. It searches the array sequentially until it finds the location i. Another function MakeRoom moves A[i], .., AIn] to Ali+1]...AIn+1] same sort...
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...
2) Given an array of n nonzero real numbers a[0]…a[n-1], write a function to partition the...
2) Given an array of n nonzero real numbers a[0]…a[n-1], write a function to partition the array (not sort) so that all its negative elements come before all its positive elements. Your algorithm should have O(n) time complexity. The function prototype is void negpospartition(float a[], int n) Please use C language
1. Please write a Divide-and-Conquer Java algorithm solving the following problem: Given an "almost sorted" array...
1. Please write a Divide-and-Conquer Java algorithm solving the following problem: Given an "almost sorted" array of distinct integers, and an integer x, return the index of x in the array. If the element x is not present in the array, return -1. "Almost sorted" means the following. Assume you had a sorted array A[0…N], and then split it into two pieces A[0…M] and A[M+1…N], and move the second piece upfront to get the following: A[M+1]…A[N]A[0]…A[M]. Thus, the "almost sorted"...
Problem 1 (5+15 points) Consider the set P of n points and suppose we are given...
Problem 1 (5+15 points) Consider the set P of n points and suppose we are given the points of P one point at a time. After receiving each point, we compute the convex hull of the points seen so far. (a) As a naive approach, we could run Graham’s scan once for each point, with a total running time of O(n2 log n). Write down the pesuedocode for this algorithm. (b) Develop an O(n2) algorithm to solve the problem. Write...
urgent L. Consider the following pseudocode for finding binomial coefficients: Binom(n, r) Input: integers n and r Output: n choose r if r-0 or r-n thern return 1 end else return Binom(n-1, r-1) B...
urgent
L. Consider the following pseudocode for finding binomial coefficients: Binom(n, r) Input: integers n and r Output: n choose r if r-0 or r-n thern return 1 end else return Binom(n-1, r-1) Binom(n-1, r); end running time of this algorithm. Prove your bound for the upper bound. (5 points) Rewrite the above algorithm so that it is efficient. (You have 2 choices!) Analyze the worst case time of your new algorithm. (5 points) Find the edit distance between "SPOKE...
Searching/sorting tasks and efficiency analysis - Big-oh For each problem given below, do the following: 1....
Searching/sorting tasks and efficiency analysis - Big-oh For each problem given below, do the following: 1. Create an algorithm in pseudocode to solve the problem. 2. Identify the factors that would influence the running time of your algorithm. For example, if your algorithm is to search an array the factor that influences the running time is the array size. Assign names (such as n) to each factor. 3. Count the operations performed by the algorithm. Express the count as a...
3 Quicksort 10 points (5 points each) 1. Suppose that you are given an array A[1..n] and that you want to sort it using quicksort. Further suppose that your algorithm could consult an oracle to predict what element to use as the pivot. Which element would it pick so that your algorithm would run as fast as possible? What is the running time given your pivot? 2. Run the partition algorithm to partition the array A (6,7,2,4, 10,8, 1,9)
4) [15 points total (5 points each)] Assume you are given a sorted array A of n numbers, where A is indexed from 1 up to n, anda number num which we wish to insert into A, in the proper sorted position. The function Search finds the minimum index i such that num should be inserted into Ali]. It searches the array sequentially until it finds the location i. Another function MakeRoom moves A[i], .., AIn] to Ali+1]...AIn+1] same sort...
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...
urgent
L. Consider the following pseudocode for finding binomial coefficients: Binom(n, r) Input: integers n and r Output: n choose r if r-0 or r-n thern return 1 end else return Binom(n-1, r-1) Binom(n-1, r); end running time of this algorithm. Prove your bound for the upper bound. (5 points) Rewrite the above algorithm so that it is efficient. (You have 2 choices!) Analyze the worst case time of your new algorithm. (5 points) Find the edit distance between "SPOKE...
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