You are given an insertion-only stream, only consisting of (add, i) updates where i e {1,...,n}.There are m such updates. Suppose you want to sample a random insertion in the stream.For example, if the insertions formed the sequence (1,3, 5, 5, 7, 1, 5) with m = 7, then the goalis to output 1 with probability 2/7, 3 with probability 1/7, 5 with probability 3/7, and 7 withprobability 1/7.Consider the following algorithm that acts as follows on the t'th insertion. If t = 1, let X bethe first inserted element. For t > 1, with probability 1/t, let X be the tth inserted elementand with probability 1– 1/t, don't change X. At the end of the stream, return X.Show that X is indeed uniformly sampled from the m insertions.

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Answered: You are given an insertion-only stream,…

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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Information is present in the screenshot and below. Based on that need help in solving the code for this problem in python. The time complexity has to be as less as possible (nlogn or n at best, no n^2). Apply divide-and-conquer algorithm in the problem. Make sure ALL test cases return expected outputs by providing output screenshots. Hint: Use kth order statistics Output FormatOutput consists of K lines.For each query, output the age of Danny's soulmate in hours, similar to the input. Sample Input 05 3168141042 4 1 51 3 1 51 5 1 5 Sample Output 0101616 Sample Input 17 39301019263122 2 2 71 3 3 77 7 2 5 Sample Output 1301230 Sample Input 29 42635243231362722232 9 2 92 6 1 52 8 1 81 8 2 9 Sample Output 235323524 The actual code """Solves a test case Parameters:n : int - number of ages givenages : array-like - list of agess1 : int - start index of Danny's family. Also Danny's indexe1 : int - end index of Danny's familys2 : int…
PLEASE USE PYTHONGiven a jungle matrix NxM:jungle = [ [1, 0, 0, 0], [1, 1, 0, 1], [0, 1, 0, 0], [1, 1, 1, 1,]]Where 0 means the block is dead end and 1 means the block can be used in the path fromsource to destination.Task:Starting at position (0, 0), the goal is to reach position (N-1, M-1).Your program needs to build and output the solution matrix – a 4x4 matrix with 1’s inpositions used to get from the starting position (0,0) to the ending position (N-1,M-1)with the following constraints:You can only move one space at a timeYou can only in two directions: forward and down.You can only pass thru spaces on the jungle matrix marked ‘1’If you cannot reach the ending position – print a message that you’re trapped in thejungleAlgorithm:If destination is reachedprint the solution matrixElseMark current cell in the solution matrixMove forward horizontally and recursively check if this leads to a solution If there is no solution, move down and recursively check if this leads to a solution If…
Proc network allow us to define the convergence tolerance for the PageRank algorithm. This value must be a positive number. The default is 1E-9. The PageRank algorithm stops iterating when the difference between the PageRank score of the current iteration and the previous iteration is less than or equal to the tolerance defined. To define the convergence tolerance, we can use the option PAGERANKTOLERANCE=. Write The code to shows how to compute the PageRank centrality using proc network based on a directed graph using unweighted links.
n=6 and A=(3,5,4,1,3,2). Draw only the right half of the corresponding walkthrough as shown in P.155, showing only the list A at the end
Suppose R4=i, and we are implementing a jump table to go to jt[i],where jt contains n elements. Several computations should beperformed on i before actually making the jump. Which of thefollowing is NOT one of these computations? Select one: a. If i<0, don't enter the jump table, but go to an error handler b. Compute 2*i, because each element of the jump table is two words long c. Take the absolute value of i d. if i>=n, don't enter the jump table, but go to an error handler
Consider a hallway in a building, with N equally sized rooms, numbered 1,..., N. Several meetings are planned, which require different numbers of adjacent rooms. You are given a list of meeting requests with the number of rooms need for each. The requests are represented by the array r[1, ..., k]. For example, meeting j requires r[j] adjacent rooms. You are offered a programmatic tool, which requires n steps to partition a set of n rooms, to accommodate two meeting requests of sizes s1 and s2, where s1+s2 = N. Describe an algorithm that receives a set of meeting requests s1, s2, ..., etc., and calculates the rooms allocations in the least number of steps. Formally prove that the algorithm is correct and that the solution it provides requires the lowest cost (in computational steps). Explain your solution with a concrete example. There was a similar question, but I did not understand the answer the expert gave. It had almost no details, and I could not follow it.
10
We all know that when the temperature of a metal increases, it begins to expand. So, we experimented with exposing a metal rod to different temperatures and recorded its length as follows: 20 Length Temp 25 30 35 40 45 50 55 60 65 0.5 1.8 5 6.2 6.5 7.8 9.4 9.8 10.9 Required: 1. Implement and plot a simple linear regression for the above data, where the temperature is “x", and the length is "y" 2. Implement and plot a multiple linear regression "Polynomial regression" with different degrees. For example, Degree of 3: Y = w,x' + w2x? + W3x³ + W4 Where w4 represents bias. *you can use normal equation to calculate 'W' as follow: W (X".X)².(X".Y) Then calculate Y, Where Y = X.WT 3. Try degree of 2, 3, 5, and 8
Consider the following problem on a dictionary of n words, W1... Wn, each with exactly k characters. You can transform a word W; into word W;if they differ in at most d
We can end unsuccessful searches more quickly if we can presume that the keys in the list have been organised in some sort of order (for example, numerical or alphabetical order). If the smallest keys are located first, we may stop looking as soon as a key larger than or equal to the target key is discovered. What is the typical number of comparisons for failed search in this version if we assume that it is equally probable that a target key not in the list is in any one of the n + 1 intervals (before the first key, between a pair of subsequent keys, or after the last key)?
Create a flow chart for following math lab code h = linspace (2,365,364); p = (1) -exp (-n.^(2)/730); figure (1) plot (n,p) random_month = randi ([1 12], 1,1); % genarat a random month 1 to 12 month = random_month (1,1); if (month day = randi ([1 30],1,1); % there are 30 days %3D 4 || month 6 || month 9 || month == 11) == 3D%3D =3= elseif month == 2 %3D%3D day randi ([1 28], 1,1); % there are 28 days !! else day = randi ([1 31], 1,1); % there are 31 days dates = [dates; [month, day]]; end function bnatch = module_2b (data) % loop over "data" array for eachvalueindataarray = data % if count of current element in data array is grater than 1 if sum (data == eachvalueindataarray) > 1 % return 1 bnatch=1; return; end % eles, return 0 bnatch = 0; end end
Consider an unordered list of data pieces L[0:5] = 23, 14, 98, 45, 67, 53. Let's look for the key K = 53. Obviously, the search proceeds along the list, comparing key K with each element until it finds it as the final member in the list. In the instance of looking for the key K = 110, the search proceeds but falls off the list, declaring it failed. Create Algorithm Procedures for both sorted and unordered linear searches, as well as their times.

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