Please solve the following algorithms problem: ( show all work solve asap ) Q550Create a divide and conquer algorithm for multiplication you do not need to analyze theruntime though, based on this equation.Let X be an integer with n digits. We divide X into:•XL: First [n/3] digits (approximately one-third of the digits)XR: Last n[n/3] digits (approximately two-thirds of the digits)Similarly, we break Y into:•Y: First [n/3] digitsYR: Last n [n/3] digitsRepresenting X and YXXL 102/3 + XRY Y 102/3 + YRMultiplying X and YTo multiply X and Y:XXY = (XL 102/3 + XR) × (YL · 102n/3+YR)

Explanation of the Code- Base Case: Directly multiply if either X or Y is a single digit.-…

Answered: Q5 50 Create a divide and conquer…

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 magic square is an n by n matrix in which each of the integers 1, 2, 3...n appears exactly once and all column sums, row sums, and diagonal sums are equal. For example, the following is a 5 by 5 magic square in which all rows, columns and diagonals sum to 65. 17 24 1 8. 15 23 7 14 16 4 6. 13 20 22 10 12 19 21 3 11 18 25 9 The following is a procedure for constructing an n by n magic square for any ODD integer n. Place 1 in the middle of the top row. Then.m after integer k has been placed, move up one row and one column to the right to place the next integer k+1 unless one of the following occurs: If a move takes you above the top row in the jth column, move to the bottom of the jth column and place k+1 there. If the move takes you outside to the right of the square in the ith row place k+1 in the ith row in the left side. If the move takes you to an already filled square or if you move out of the square at the upper right hand corner place k+1 immediately below k. Write a C++ program…
Cjupyter E1 Last Checkpoint: a few seconds ago (unsaved changes) Logout File Edit View Insert Cell Kernel Widgets Help Trusted Python 3 O + • Run Markdown Problem Statement We want to develop an algorithm that tests whether a number is prime or not Input: nE Z n > Algorithm Implementation In [ ]: # write your implementation here def isPrime (n): checks whether the positive integer n, which is at least 2, is prime or not It takes n: represnts the integer value to be checked It should return [-1 true or false Trying the Algorithm In [ ]: # use some inputs to empirically test your algorithm isPrime(11)
1: |R|←|P| Reserve space for |P| = 13 values.2: x ← n3: for i ← 0 ...(|P| − 1) do4: c ← x div Pi Number of multiplicands Pi in x.5: Ri ← c6: x ← x − c · Pi7: end for8: return RA Java programmer could implement Algorithm by first modelling the primitivenumbers with the enumeration type RomanNumeral. Each enum constant (I, IV, ..., M) is declared with its decimal value, which can be accessed with the function getValue().
java
let n = 1*3*5*....*197*199 (the product of first 100 odd numbers) find the last 2 digits of n
Correct answer will be upvoted else Multiple Downvoted. Don't submit random answer. Computer science. Ridbit begins with an integer n. In one action, he can perform one of the accompanying tasks: partition n by one of its appropriate divisors, or take away 1 from n in case n is more prominent than 1. An appropriate divisor is a divisor of a number, barring itself. For instance, 1, 2, 4, 5, and 10 are appropriate divisors of 20, however 20 itself isn't. What is the base number of moves Ridbit is needed to make to decrease n to 1? Input The principal line contains a solitary integer t (1≤t≤1000) — the number of experiments. The main line of each experiment contains a solitary integer n (1≤n≤109). Output For each experiment, output the base number of moves needed to lessen n to 1.
Calculating the Minimum Sum Path in a Triangle (LeetCode Problem)Given a triangle array, return the minimum path sum from top to bottom. For each step, you may move toan adjacent number of the row below. More formally, if you are on index i on the current row, you maymove to either index i or index i + 1 on the next row. public static int minSumPathMemo(int[][] triangle)This method will calculate the minimum sum path in the triangle using the top down strategy. Note thismethod MUST BE recursive and you will need to create a recursive helper method. public static int minSumPathBottomUp(int[][] triangle)This method will calculate the minimum sum path in the triangle using the bottom up strategy. Note thismethod CANNOT be recursive and you should not create any additional helper functions. Extra Challenge: Could you do this using only O(n) extra space where n is the total number of rows in thetriangle? This is method signature class below: package dynamic; public class MinSumPath {…
%matplotlib inline import numpy as np from matplotlib import pyplot as plt import math
Below is an array of elements that can be traversed via Linear and Binary search. You will be given five elements for each searching algorithms. You need to list down the elements traversed until it reaches to the element we are looking for: 33 54 74 124 148 248 274 203 443 445 452 457 470 512 520 505 2 10 11 12 13 14 15 570 500 634 730 783 803 810 886 030 10 17 18 19 20 21 22 23 24 25 20 27 28 29 30 31 A. Linear Search 1. 763 2. 148 3. 476 4. 526 5. 74 B. Binary Search 1. 985 2. 590 3. 476 4. 887 5. 897
Correct answer will be upvoted else Multiple Downvoted. Don't submit random answer. Computer science. Sasha likes exploring diverse mathematical articles, for instance, wizardry squares. However, Sasha comprehends that enchanted squares have as of now been examined by many individuals, so he sees no feeling of concentrating on them further. All things considered, he designed his own kind of square — a superb square. A square of size n×n is called prime if the accompanying three conditions are held all the while: all numbers on the square are non-negative integers not surpassing 105; there are no indivisible numbers in the square; amounts of integers in each line and every segment are indivisible numbers. Sasha has an integer n. He requests you to view as any great square from size n×n. Sasha is certain beyond a shadow of a doubt such squares exist, so help him! Input The principal line contains a solitary integer t (1≤t≤10) — the number of experiments. Every one…
Write in java
%matplotlib inline import numpy as np from matplotlib import pyplot as plt import math

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