Can u please help me find the running timeT(n) in big theta pf each loop/ Thanks int k = 0;for (int i=1; i <= n; i++)for (int j=1; j<= 16; j= j*2)k += n;for (int i = 0; i < n; i++)for (int j= 1; j<= n; j=j*2)k += 2;for (int i = 0; i

Worst case time complexity gives the tightest upper bound and the time complexity of the program…

int k = 0; for (int i=1; i <= n; i++) for (int j=1; j<= 16; j=j*2) k += n; for (int i = 0; i < n; i++) for (int j= 1; j<= n; j=j*2) k += 2; %3D for (int i = 0; i < n; i++) for (int j= 0; j

int k = 0; for (int i=1; i <= n; i++) for (int j=1; j<= 16; j=j2) k += n; for (int i = 0; i < n; i++) for (int j= 1; j<= n; j=j2) k += 2; %3D for (int i = 0; i < n; i++) for (int j= 0; j

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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A robot starts on a point marked “A” on a rectangular grid of points. The starting point is always the top left point on the grid. The robot can move left, right, up or down, moving from one point to the next. By moving in steps going left, right, up or down, the robot would like to reach a point marked “B”, which is always the bottom right point in the grid. Sometimes, points are marked as “x”, and the robot is not allowed to visit them at all. A robot is never allowed to visit a point more than once. In how many ways can the robot move from A to B and visit all points along the way? For example, in the following grid, represented in text as A . . . . B there is only one path from A to B: In the following grid, represented in text as A . . x x B there is still only one path (we're lucky because of the two x's): However, in the grid A . . . x B there are no ways for the robot to move from A to B and visit all points that are not marked with “x”. Write a single…
The game Capture is played by two players, First and Second, who take turns to move towards one another on a narrow bridge. Initially, the two players are at opposite ends of the bridge, at a distance of n feet from each other. (Here n is an arbitrary positive integer.) When it is their turn, they are allowed to jump 1, 2, or 3 feet toward each other. The game starts by First making a move first; the game is over when one player is able to capture (jump on top of) the other player. Generalize the problem further to the case when the initial distance is n feetand the players are allowed to jump any (positive) integer number of feet up to k feet. (Here n and k are arbitrary natural numbers.)
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A perfect number is a positive integer that is equal to the sum of its proper positive divisors, that is, the sum of its positive divisors excluding the number itself. Equivalently, a perfect number is a number that is half the sum of all of its positive divisors. The first perfect number is 6, because 1, 2 and 3 are its proper positive divisors, and 1 + 2 + 3 = 6. Equivalently, the number 6 is equal to half the sum of all its positive divisors: (1 + 2 + 3 + 6) / 2 = 6. Write a program to display the of sum all perfect numbers found in the first 1000 integers.
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OBJECT: Write a program to define two integer variables and assign values to them (you can use any values you like). Then do the following: 1.Compute and print their sum with an appropriate message. 2.Compute and print their product with an appropriate message. 3. Add their sum to their product and print the result with an appropriate message. 4. Compute and print their difference (first - second) with an appropriate message. 5.Compute the quotient of (first / second) and print it with an appropriate message. 6.Compute the remainder of (first % second) and print it with an appropriate message. INPUT: None OUTPUT: As specified above. TOPICS: arithmetic expressions, cout, and assignment statements, program documentation.
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