ideal opportunity for your very first race in the game against Ronnie. To make the race intriguing, you have wagered a dollars and Ronnie has wagered b dollars. Yet, the fans appear to be frustrated. The fervor of the fans is given by gcd(a,b), where gcd(x,y) means the best normal divisor (GCD) of integers x and y. To make the race seriously invigorating, you can perform two
Q: 3. Recall that the logistic regression hypothesis is defined as: hol x) = g(@" x). 2 where function…
A: PROGRAM CODE: # import the required modulesimport numpy as npdef sigmoid(z): # create the…
Q: Implement a Java method with the identifier "SquareRoot" that takes parameter of type integer and…
A: It is defined as an object-oriented programming, platform-independent, and secure programming…
Q: Determine if the following arguments are valid or invalid. Justify your answers through drawing…
A: The argument is valid if and only if every possible diagram illustrates the conclusion of…
Q: pick a non-void adjacent substring of s that contains an equivalent number of 0's and 1's; flip…
A: Here have to determine about the Flip and Reverse programming problem statement.
Q: Given the
A: 1. print("List Iteration") l = ["s", "for", "s"] for i in l: print(i) # Iterating over a…
Q: Consider the statement "for all integers a and b, if a + b is even, then a and b are even" (a) Write…
A: ANSWER:-
Q: Below are two sets, one of all presidents of the United States and one of all veeps (vice…
A: - The question is to identify the vice presidents who went on becoming the presidents using set…
Q: Let l be a line in the x-y plane. If l is a vertical line, its equation is x real number a. Suppose…
A: We have to write a c++ program in the following statement given in the x-y plane.
Q: python this is connected to the last problem - the second part of the question is added. my attempt…
A: Task : Using the given set of values of n from 2 to 1000 : show that harmonic_sim(n) approaches…
Q: Many regular expression implementations contain additional operators or symbols beyond the three…
A:
Q: There exists a staircase with N steps, and you can climb up either 1 or 2 steps at a time. Given N,…
A: The problem is dp based, where we have 2 options at each step, either pick 1 or 2 Base condition:…
Q: SUCCESSIVE-OVER-RELAXATION Method TROUBLESHOOTING: Fix the errors in the code below and run the…
A: SUCCESSIVE-OVER-RELAXATION Method TROUBLESHOOTING: Fix the errors in the code below and run the…
Q: What is the Truth value of the Expression ∀ (x)P(x) in each of the following interpretation? P(x) is…
A: Universal quantifier: ∀ Means “for all,” “for every” Existential quantifier: ∃ Means there exists…
Q: 3 .A spherical tank is to be designed as shown below to hold water for a small village in a…
A: Code: import mathpi=math.pi#function to call real functiondef function( h ): return pi*(h * h * h)…
Q: The Fibonacci function f is usually defined as follows. f (0) = 0; ƒ(1) = 1; for every n e N>1, f(n)…
A: Solution: Given, f(0) = 0 f(1) = 1
Q: Exercise 4 avg is supposed to: receive any (undetermined) number of parameters of type double,…
A: Function Requirements: Undetermined number of parameters. Find sum Find average Issues in the…
Q: Implement an algorithmic solution, indicating which states are valid and which are not, and model…
A: Let us break down the given situation to clearly understand wat is actually happening here so that…
Q: Mastermind is a code-breaking game for two players. In the original real-world game, one player A…
A: Mastermind is a code-breaking game for two players. In the original real-world game, one player A…
Q: Java Assignment: Mathematics is the very interesting subject and for the India it is also a point of…
A: As per the given problem statement we are required to develop a JAVA code to solve the given test…
Q: Proof of Correctness In this question, you will use strong induction to prove that your new…
A: The, answer has given below:
Q: Rohan is playing a game in his class in which he takes heights of two persons and then find the…
A: Required:- Rohan is playing a game in his class in which he takes the heights of two persons and…
Q: 3. Recall that the logistic regression hypothesis is defined as: holx) = g(@"x), where function g is…
A: Answer: Python Source Code: import numpy as npdef sigmoid(z): z = np.array(z) g =…
Q: Suppose we have a nice young couple who borrow $700000 from the bank, at an annual interest rate of…
A: monthly.payment<-2000 im<-(1+3.124/100)^(1/12) # annual interest is in percentage convert into…
Q: Problem In this assignment, you are required to implement the fractional knapsack problem. In a…
A: Program:- class ItemValue: def __init__(self, wt, val, ind): self.wt = wt…
Q: on. The function should be of the form LinRegPower(N,B,A,sd,nrep), where N is a vector/list of…
A: In Python, write a function that produces plots of statistical power versus sample size for simple…
Q: Consider the magic triangle of 6 numbers, in which the numbers from 1 to 6 must be placed in the six…
A: Are you ready to give your kids a fun math puzzle and brain teaser to streeeaaaatch their brains?…
Q: our main task is to write a recursive function sierpinski() that plots a Sierpinski triangle of…
A: Given: Sierpinski.java // Height of an equilateral triangle with the specified side length.…
Q: 5. Convert the following recursive functions into iterative functions. def max(k, n): if k == []:…
A: Here we have given 2 functions, max() and sum_odd(). The function max() returns the largest value…
Q: Count Dracula buys blood from the public. But since he prefers certain types to others, he pays as…
A: I have provided c++ code for given question.
Q: Holi is celebrated in India as a festival of colours and your friend Khan from India has gifted you…
A: Algorithm: Firstly take the input for the number of test cases then take the value for number of…
Q: need help in writing full code for the Quick select probabilistic version. which divides the given…
A: Python code :- import random def quicksort(arr, start , stop): if(start < stop):…
Q: X doesn't have a value
A: if X doesn't have a value
Q: Please answer this only in python Alice and Bob play a game. At first, there is only one tree with…
A: Coded using Python 3.
Q: Count divisibles in range
A: Note: The provided solution is correct as per the question requirements. If you need further…
Q: from a fishing excursion. The I-th angler has gotten a fish of weight man-made intelligence.…
A: Here have to determine about the Emotional Fishermen programming problem statement.
Q: Suppose team A plays in a best-of-7-game series. In sports sometimes teams play in a series until…
A:
Q: A bracket is considered to be any one of the following characters: (, ), {, }, [, or ]. Two brackets…
A: Program approach:- String input. Initializing empty stack. For loop to iterate through each…
Q: Petya found out with regards to another game "Kill the Dragon". As the name recommends, the player…
A: Here have to determine about kill the dragon problem statement.
Q: Statisticians use the concepts of mean and standard deviation to describe a collection of numbers.…
A: Program :- import math def gradeCurve(scores, m, s): """ Function that finds grade…
Q: Line with most polnts def line_with_most_points(points): 4 point on the two-dimensional grid of…
A: Given the coordinate points as list find the maximum count of points which belong to same line if…
Q: Encode the problem and create an initial population of 4 different chromosomes. Explain what would…
A: 1) Because it can be used to identify global optima in constraint issues, the Genetic algorithm may…
Q: Mastermind is a code-breaking game for two players. In the original real-world game, one player A…
A: Since the programming language is not mentioned, I have coded this using Python 3.
Q: tart with a pile of n stones and successively split a pile into two smaller piles until each pile…
A: Solution: Assume true for all n≤k. Now suppose you have k+1 stone. You split them into 2 groups of s…
Q: Each case below gives a recursive definition of a subset L of {a, b}". Give a simple non-recursive…
A: It is defined as the procedures or subroutines implemented in a programming language, whose…
Q: a) What are Ensemble Algorithms? Write an algorithm for BOOSTING method. c) Assume that two…
A: - Ensemble learning is one of the most effective ways to build an efficient machine learning model…
Q: One day, Fred and his N friends were playing a card game in which each player throws a cardwith a…
A: Input/Output Explanation: An integer N denoting the number of cards(1<=N<=500) An integer…
Q: Jacobi method is an iterative algorithm for determining the solutions of a strictly diagonally…
A: The below given is the implementation you are looking for without using any of the inbuilt library…
Q: Write a program that can inverse a matrix by using an approach to find its minor, cofactor and…
A: Given: Write a program that can inverse a matrix by using an approach to find its minor, cofactor…
Python answer only. Correct answer will upvoted else downvoted.
It is the ideal opportunity for your very first race in the game against Ronnie. To make the race intriguing, you have wagered a dollars and Ronnie has wagered b dollars. Yet, the fans appear to be frustrated. The fervor of the fans is given by gcd(a,b), where gcd(x,y) means the best normal divisor (GCD) of integers x and y. To make the race seriously invigorating, you can perform two kinds of activities:
Increment both an and b by 1.
Diminishing both an and b by 1. This activity must be performed if both an and b are more noteworthy than 0.
In one action, you can play out any of these activities. You can perform self-assertive (potentially zero) number of moves. Decide the greatest energy the fans can get and the base number of moves needed to accomplish it.
Note that gcd(x,0)=x for any x≥0.
Input
The principal line of input contains a solitary integer t (1≤t≤5⋅103) — the number of experiments.
The first and the main line of each experiment contains two integers an and b (0≤a,b≤1018).
Output
For each experiment, print a solitary line containing two integers.
In the event that the fans can get endless energy, print 0.
Any other way, the main integer should be the greatest energy the fans can get, and the subsequent integer should be the base number of moves needed to accomplish that fervor.
Step by step
Solved in 3 steps with 1 images
- Correct answer will be upvoted else Multiple Downvoted. Computer science. player begins the game from the 1-st stage and should beat the stages in expanding request of the stage number. The player dominates the match in the wake of beating the n-th stage. There is all things considered one designated spot on each stage, and there is consistently a designated spot on the 1-st stage. Toward the start of the game, just the designated spot on the 1-st stage is initiated, and any remaining designated spots are deactivated. At the point when the player gets to the I-th stage that has a designated spot, that designated spot is initiated. For each attempt of a phase, the player can either beat the stage or bomb the stage. On the off chance that they beat the I-th stage, the player is moved to the i+1-st stage. On the off chance that they bomb the I-th stage, the player is moved to the latest designated spot they actuated, and they need to beat the stages after that designated spot once…You will be given a square chess board with one queen and a number of obstacles placed on it. Determine how many squares the queen can attack. A queen is standing on an chessboard. The chess board's rows are numbered from to , going from bottom to top. Its columns are numbered from to , going from left to right. Each square is referenced by a tuple, , describing the row, , and column, , where the square is located. The queen is standing at position . In a single move, she can attack any square in any of the eight directions (left, right, up, down, and the four diagonals). In the diagram below, the green circles denote all the cells the queen can attack from : There are obstacles on the chessboard, each preventing the queen from attacking any square beyond it on that path. For example, an obstacle at location in the diagram above prevents the queen from attacking cells , , and : Given the queen's position and the locations of all the obstacles, find and print the number of…Correct answer will be upvoted else Multiple Downvoted. Don't submit random answer. Computer science. Today the kindergarten has another gathering of n kids who should be situated during supper. The seats at the table are numbered from 1 to 4n. Two children can't sit on a similar seat. It is realized that two children who sit on seats with numbers an and b (a≠b) will enjoy if: gcd(a,b)=1 or, a partitions b or b separates a. gcd(a,b) — the greatest number x with the end goal that an is distinct by x and b is detachable by x. For instance, if n=3 and the children sit on seats with numbers 2, 3, 4, then, at that point, they will enjoy since 4 is isolated by 2 and gcd(2,3)=1. On the off chance that children sit on seats with numbers 4, 6, 10, they won't enjoy. The educator truly doesn't need the wreck at the table, so she needs to situate the children so there are no 2 of the child that can enjoy. All the more officially, she needs no pair of seats an and b that the children…
- Consider a game that you want to develop to impress your friend. You design a game with rules: “A player rolls a die and a coin in a single throw. Each die has six faces. These faces contain 1, 2, 3, 4, 5, and 6 spots. A coin has two faces, e.g., Head and Tail (Head is considered as 1 and Tail as 0). After the die and coin have come to rest, the sum of the upward spots of die and coin is calculated. If the sum is 7 (makes 6 for the die and Head for coin) the player wins, if the sum is 1 (makes 1 for the die and Tail for coin) the player loses. The remaining point becomes the player's “point”. To win the game, the player must continue rolling the die and coin until the player makes his "point". The player loses by getting 7 or 1 before making his point.” Write down a Java program that simulates this game.Correct answer will be upvoted else Multiple Downvoted. Computer science. You are playing another PC game in which you need to battle beasts. In a prison you are attempting to clear, you met three beasts; the first of them has a wellbeing focuses, the second has b wellbeing focuses, and the third has c. To kill the beasts, you can utilize a gun that, when discharged, bargains 1 harm to the chose beast. Each 7-th (I. e. shots with numbers 7, 14, 21 and so on) gun fired is upgraded and bargains 1 harm to all beasts, not only one of them. In case some beast's present measure of wellbeing focuses is 0, it can't be designated by an ordinary shot and doesn't get harm from an upgraded shot. You need to pass the prison delightfully, I. e., kill every one of the beasts with a similar improved shot (I. e. after some upgraded shot, the wellbeing points of every one of the beasts should become equivalent to 0 interestingly). Each shot should hit a beast, I. e. each shot arrangements harm to…Mastermind is a code-breaking game for two players. In the original real-world game, one player A selects 4 pegs out of 6 colors and puts them in a certain fixed order; multiples of colors are possible (for example, red-green red-green). His opponent B does not know the colors or order but has to find out the secret code. To do so, B makes a series of guesses, each evaluated by the first player. A guess consists of an ordered set of colors which B believes is the code. The first player A evaluates the guess and feeds back to B how many positions and colors are correct. A position is correct ("black") if the guess and the secret code have the same color. Additional colors are correct ("white"), if they are in the guess and the code, but not at the same location. For example1 2 3 4secret: red-green red greenguess: red blue green purpleresults in one correct position ("black = 1") for the red peg at position one and one additional correct color ("white=1") for the green peg in the guess.…
- Mastermind is a code-breaking game for two players. In the original real-world game, one player A selects 4 pegs out of 6 colors and puts them in a certain fixed order; multiples of colors are possible (for example, red-green red-green). His opponent B does not know the colors or order but has to find out the secret code. To do so, B makes a series of guesses, each evaluated by the first player. A guess consists of an ordered set of colors which B believes is the code. The first player A evaluates the guess and feeds back to B how many positions and colors are correct. A position is correct ("black") if the guess and the secret code have the same color. Additional colors are correct ("white"), if they are in the guess and the code, but not at the same location. For example1 2 3 4secret: red-green red greenguess: red blue green purpleresults in one correct position ("black = 1") for the red peg at position one and one additional correct color ("white=1") for the green peg in the guess.…Correct answer will be upvoted else downvoted. Computer science. Every moment, a battle between two distinct saints happens. These legends can be picked self-assertively (it's even conceivable that it is a similar two saints that were battling during the latest possible second). At the point when two saints of equivalent levels battle, no one successes the battle. At the point when two legends of various levels battle, the one with the more elevated level successes, and his level increments by 1. The champ of the competition is the main saint that successes in no less than 100500 battles (note that it's conceivable that the competition keeps going forever assuming no legend wins this number of battles, there is no victor). A potential champ is a saint to such an extent that there exists an arrangement of battles that this legend turns into the victor of the competition. Compute the number of potential champs among n legends. Input The primary line contains one integer…There are four people who want to cross a rickety bridge; they all begin on the same side. You have 17 minutes to get them all across to the other side. It is night, and they have one flashlight. A maximum of two people can cross the bridge at one time. Any party that crosses, either one or two people, must have the flashlight with them. The flashlight must be walked back and forth; it cannot be thrown, for example. Person 1 takes 1 minute to cross the bridge, person 2 takes 2 minutes, person 3 takes 5 minutes, and person 4 takes 10 minutes. A pair must walk together at the rate of the slower person's pace. Write the specification of an algorithm that solves the problem.
- In the game of 10-pin bowling the bowler has two attempts to knock down pins for every frame of 10-pins, and scores a point for each pin knocked down. If all the pins are knocked down with two attempts, the bowler gets a bonus - whatever score they obtain with their next bowl is doubled. If all the pins are knocked down on the 1st attempt, no 2nd attempt is allowed, and the bowler gets a bonus – whatever score they obtain on their next two bowls are doubled. A student attempts to capture this scoring system in VHDL code, a fragment of which is shown in Figure Q4. Q4 (a) Draw the state transition diagram described by the VHDL of Figure Q4. Discuss whether the VHDL of Figure Q4 correctly scores a game of 10-pin bowling. (b) elsif CLK='1' and CLK'event and UPD='1' then case present state is when throwl => frame := frame + 1; + resize (unsigned (N), 9) score := score if N = w1010" then present state score := score + resize (unsigned (N), 9) present state + resize (unsigned (N),9) if N =…Correct answer will upvoted else downvoted Petya found out with regards to another game "Kill the Dragon". As the name recommends, the player should battle with mythical beasts. To overcome a mythical serpent, you need to kill it and shield your palace. To do this, the player has a crew of n legends, the strength of the I-th saint is equivalent to man-made intelligence. As per the principles of the game, precisely one saint should go kill the mythical serpent, all the others will shield the palace. On the off chance that the mythical serpent's protection is equivalent to x, you need to send a saint with a strength of essentially x to kill it. Assuming the winged serpent's assault power is y, the absolute strength of the saints protecting the palace ought to be ssentially y. The player can build the strength of any legend by 1 for one gold coin. This activity should be possible quite a few times. There are m winged serpents in the game, the I-th of them has protection equivalent to…You have a fence post located at the point (x,y) where a goat is tethered by a rope. You also have a house, which is a rectangle with diagonally opposite corners at the points bottom-left: (x1,y1) and top-right: (x2,y2). You want to pick a length of rope that guarantees the goat cannot reach the house. Determine the minimum distance from the fence post to the house, so that you can make sure to use a shorter rope. Recall that the distance formula is: sqrt( (x2−x1)^2+(y2−y1)^2 ) The input consists of a single line containing six space-separated integer values: x, y, x1, y1, x2, and y2. You are guaranteed that x1<x2 and y1<y2, and that (x,y) is strictly outside the axis-aligned rectangle with corners at (x1,y1) and (x2,y2). Return the minimum distance from the goat’s post to the house as a floating-point value from main(). Learning Objectives Be able to create a program with a lesser template. Be able to calculate the min/max of integers. Be able to write a mathematical…