Use the Euclidean algorithm to find the Greatest Common Divisor (GCD) of the numbers 1083974892 and 48298209703. Are these numbers relatively prime?
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- Using Pyhton, do you think that the problems below are also solvable without using iterations? Why or why not? Printing integers from n to 1 Computing for exponents Computing for the square root Guessing a randomly-generated integer2. If a number A is arithmetical right shifted by K times to get a number B, then prove that B = A/(2*K).Create an algorithm to discover a number that is not in a set of n real numbers given a set of n real numbers. Demonstrate that your method is optimum by giving a lower limit on the number of steps needed to solve the issue that is based on information theoretic principles.
- The code shows an implementation of the Rabin-Karp algorithm in Python. What is the best and worst case of this algorithm? Explain with an example for each case, without going into mathematical detailsProve it ASAP. If two numbers a and b are even, then their sum a + b is even. Without using any program. Explain it simple.Design an algorithm for computing for any positive integer n. Besides assignment and comparison, your algorithm may only use the four basic arithmetical operations.
- Describe the Euclidean algorithm and its use in finding the greatest common divisor (GCD) of two integers. Provide a step-by-step example.Apply R to simulate a set of 100 numbers with standard deviation of 2 and mean of 20. List out the set of numbers.A repeating ground-track orbit has period of repetition is two orbits per day (ω⊕ = 7.2921151467 · 10−5 rad/s), has an eccentricity of 0.74, an inclination of 63.4349 deg, a right ascension of the ascending node of −86.915798 deg, and argument of perigee of 270 deg. What is the semi-major axis? In MATLAB, provide the following results using 100 points equally distributed in time over an orbital period with a starting position of true anomaly equal to 0 degrees: 3D representation of the orbit. Include the Earth (as a simple sphere) in the center of the plot for a size comparison. Make sure that the axis have the same scale.
- Investigate the principles of quantum computing algorithms for solving specific problems, such as Shor's algorithm for factoring large numbers.Determine how many 3 letter strings can be formed from the letters of the alphabet using each letter just once. Describe which formulas, principles and theorems support your counting technique. ABC, BCA, is OK AAA not OK- Please check my code for error. I'm trying to practice my learnings.- Implement this in MATLAB algorithms for: Linear Least Squares Regression - Include plots/graphs. close all;clear all;clc;current_script = mfilename('fullpath');script_directory = fileparts(current_script);file_name0 = 'data_00.csv';file_name1 = 'data_01.csv';file_name2 = 'data_02.csv';file_name3 = 'data_03.csv';data0 = csvread([script_directory '\' file_name0]);data1 = csvread([script_directory '\' file_name1]);data2 = csvread([script_directory '\' file_name2]);data3 = csvread([script_directory '\' file_name3]);avg_data = (data1 + data2 + data3) / 3;figure;plot (data0(:,1), data0(:,2), 'b-', 'LineWidth', 2, 'DisplayName', 'Parabolic Curve');hold on;plot(avg_data(:, 1), avg_data(:, 2), 'k-', 'Linewidth', 1, 'DisplayName', 'Average Data Points')scatter(data1(:,1), data1(:,2), 5, 'r', 'filled', 'DisplayName', 'Sample Data Points 1');scatter(data2(:,1), data2(:,2), 5, 'g', 'filled', 'DisplayName', 'Sample Data Points…