4.17 LAB: Brute force equation solver Numerous engineering and scientific applications require finding solutions to a set of equations. Ex: 8x + 7y=38 and 3x - 5y = -1 have a solution x = 3, y=2. Given integer coefficients of two linear equations with variables x and y, use brute force to find an integer solution for x and y in the range-10 to 10. Ex: If the input is: 87 38 3 -5 -1 the output is: 32 because 8x3 +7x2-38 and 3x3 +-5x2=-1. Use this brute force approach: For every value of x from -10 to 10 For every value of y from -10 to 10 Check if the current x and y satisfy both equations. If so, output the solution, and finish. Ex: If no solution is found, output: No solution You can assume the two equations have no more than one solution. Note: Elegant mathematical techniques exist to solve such linear equations. However, for other kinds of equations or situations, brute force can be handy. LAB ACTIVITY 4.17.1: LAB: Brute force equation solver 0/28

4.17 LAB: Brute force equation solver Numerous engineering and scientific applications require finding solutions to a set of equations. Ex: 8x + 7y=38 and 3x - 5y = -1 have a solution x = 3, y=2. Given integer coefficients of two linear equations with variables x and y, use brute force to find an integer solution for x and y in the range-10 to 10. Ex: If the input is: 87 38 3 -5 -1 the output is: 32 because 8x3 +7x2-38 and 3x3 +-5x2=-1. Use this brute force approach: For every value of x from -10 to 10 For every value of y from -10 to 10 Check if the current x and y satisfy both equations. If so, output the solution, and finish. Ex: If no solution is found, output: No solution You can assume the two equations have no more than one solution. Note: Elegant mathematical techniques exist to solve such linear equations. However, for other kinds of equations or situations, brute force can be handy. LAB ACTIVITY 4.17.1: LAB: Brute force equation solver 0/28

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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4.2) (L4) Give truth values for the propositional variables that cause the two expressions to have different truth values. For example, given p ∨ q and p ⊕ q, the correct answer would be p = q = T, because when p and q are both true, p ∨ q is true but p ⊕ q is false. Note that there may be more than one correct answer. r ∧ (p ∨ q) (r ∧ p) ∨ q
Q2: There are three buckets size X, Y, M (1<=X<=Y<=M). All three buckets are initially empty. Using these three buckets, we can perform any number of the following two types of operations. We can fill the smallest bucket (of size X) completely to the top with X units of water and pour it into the size-M bucket, as long as this will not cause the size-M bucket to overflow. We can fill the medium bucket (of size Y) completely to the top with Y units of water and pour it into the size-M bucket, as long as this will not cause the size-M bucket to overflow. Although we may not be able to completely fill the size-M bucket, but we can still determine the maximum amount of milk we can possibly add to largest bucket. Sample input: 17 25 77 Sample output: 76 In this example, we fill the bucket of size 17 three times and then bucket of size 25 once, accumulating a total of 76 units of water. You could use additional test case to test your program: Input: 52 791 877 Output: 843 Input: 26…
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VII.Let A = {2, 4, 6, 8}, B = {6, 9}, C = {4, 8}. Answer each of the following questions. Justify your answers. 1. Is B ⊆B?
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PYTHON CODE: In order to beat AlphaZero, Grandmaster Hikaru is improving her chess calculation skills.Today, Hikaru took a big chessboard with N rows (numbered 1 through N) and N columns (numbered 1 through N). Let's denote the square in row r and column c of the chessboard by (r,c). Hikaru wants to place some rooks on the chessboard in such a way that the following conditions are satisfied:• Each square of the board contains at most one rook.• There are no four rooks forming a rectangle. Formally, there should not be any four valid integers r1, c1, r2, c2 (≠r2,c1≠c2) such that there are rooks on squares (r1,c1), (r1,c2 (r2,c1)and (r2,c2).• The number of rooks is at least 8N.Help Hikaru find a possible distribution of rooks. If there are multiple solutions, you may find any one. It is guaranteed that under the given constraints, a solution always exists.InputThe first line of the input contains a single integer T denoting the number of test cases. The first and only line of each test…
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