are given three positive (more prominent than nothing) integers c, d and x. You need to track down the number of sets of positive integers (a,b) with the end goal that balance c⋅lcm(a,b)−d⋅gcd(a,b)=x holds. Where lcm(a,b) is the most un-normal various of an and b and gcd(a,b) is the best normal divisor of an and b. Input
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Correct answer will be upvoted else downvoted. Computer science.
You are given three positive (more prominent than nothing) integers c, d and x.
You need to track down the number of sets of positive integers (a,b) with the end goal that balance c⋅lcm(a,b)−d⋅gcd(a,b)=x holds. Where lcm(a,b) is the most un-normal various of an and b and gcd(a,b) is the best normal divisor of an and b.
Input
The primary line contains one integer t (1≤t≤104) — the number of experiments.
Each experiment comprises of one line containing three integer c, d and x (1≤c,d,x≤107).
Output
For each experiment, print one integer — the number of sets (a,b) to such an extent that the above uniformity holds.
Step by step
Solved in 3 steps with 1 images
- Correct answer will be upvoted else Multiple Downvoted. Don't submit random answer. Computer science. You have n particular focuses (x1,y1),… ,(xn,yn) on the plane and a non-negative integer boundary k. Each point is a tiny steel ball and k is the draw in force of a ball when it's charged. The draw in power is something very similar for all balls. In one activity, you can choose a ball I to charge it. When charged, all balls with Manhattan distance all things considered k from ball I move to the situation of ball I. Many balls may have a similar facilitate after an activity. All the more officially, for all balls j with the end goal that |xi−xj|+|yi−yj|≤k, we dole out xj:=xi and yj:=yi. An illustration of an activity. Subsequent to charging the ball in the middle, two different balls move to its position. On the right side, the red dab in the middle is the normal situation of those balls. Your errand is to observe the base number of activities to move all balls to a similar…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.…Correct answer will be upvoted else downvoted. Computer science. At whatever point a robot arrives at a divider, it pivots right away and proceeds with his ride the other way with a similar speed. At whatever point a few robots meet at a similar integer organize, they impact and detonate into dust. When a robot has detonated, it doesn't slam into some other robot. Note that if a few robots meet at a non-integer facilitate, nothing occurs. For every robot see whether it at any point detonates and print the hour of blast on the off chance that it occurs and −1 in any case. Input The primary line contains a solitary integer t (1≤t≤1000) — the number of testcases. Then, at that point, the depictions of t testcases follow. The primary line of each testcase contains two integers n and m (1≤n≤3⋅105; 2≤m≤108) — the number of robots and the organize of the right divider. The second line of each testcase contains n integers x1,x2,… ,xn (0<xi<m) — the beginning…
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- Correct answer will be upvoted else Multiple Downvoted. Computer science. You are given a positive number x. Observe the littlest positive integer number that has the amount of digits equivalent to x and all digits are unmistakable (extraordinary). Input The principal line contains a solitary positive integer t (1≤t≤50) — the number of experiments in the test. Then, at that point, t experiments follow. Each experiment comprises of a solitary integer number x (1≤x≤50). Output Output t replies to the experiments: on the off chance that a positive integer number with the amount of digits equivalent to x and all digits are diverse exists, print the littlest such number; in any case print - 1.Conway's Game of Life: This is a zero person game with the following rules: (see Wikipedia for example) Any live cell with fewer than two live neighbours dies, as if by underpopulation. Any live cell with two or three live neighbours lives on to the next generation. Any live cell with more than three live neighbours dies, as if by overpopulation. Any dead cell with exactly three live neighbours becomes a live cell, as if by reproduction. Remember the oscillator or blinker of 3 cells. You can also find this blinker on Wikipedia. 1 21 1 2 1 21 3. 4 6 4. 6. 4 8. 9 8 9 #1 #2. #3 5. Consider now these 3 creatures at stage 1: Show how they look like in the next two stages: stage 2 and stage 3. Explain how you get the answers Creature 1 Creature 2 Creature 3 (here creature 1 is the blinker of 3 cells, horizontally; creature 2 consists of two adjacent cells, creature 3 consists of 4 adjacent cells horiztonally) ww (d) Creature 1 (10%), (e) Creature 2 (8%), (f) Creature 3 (20%)Correct answer will be upvoted else downvoted. Computer science. first move is made by Alice, the second — by Bob, the third — by Alice, etc. During their turn, the player should pick one of the chips from the board and move it any sure number of cells to one side (along these lines, if the chip was in segment I, it can move to any segment j<i, and the chips in the furthest left segment can't be picked). Alice and Bob have q sets of numbers Li and Ri. For each such pair, they need to figure out who will be the victor of the game if l=Li and r=Ri. Note that these games ought to be thought about freely (they don't influence the condition of the board for the following games), and both Alice and Bob play ideally. Input The main line contains two integers n and m (1≤n,m≤2⋅105) — the number of lines and segments on the board, separately. The subsequent line contains n integers c1,c2,… ,cn (1≤ci≤m), where ci is the file of the segment where the chip in the I-th line is…
- Computer science. Correct answer will be upvoted else downvoted. You have an at first void cauldron, and you need to blend an elixir in it. The elixir comprises of two fixings: enchantment pith and water. The elixir you need to blend ought to contain precisely k % sorcery substance and (100−k) % water. In one stage, you can pour possibly one liter of sorcery pith or one liter of water into the cauldron. What is the base number of steps to mix a mixture? You couldn't care less with regards to the complete volume of the elixir, just with regards to the proportion between sorcery substance and water in it. A little update: in the event that you pour e liters of embodiment and w liters of water (e+w>0) into the cauldron, then, at that point, it contains ee+w⋅100 % (without adjusting) sorcery substance and we+w⋅100 % water. Input The primary line contains the single t (1≤t≤100) — the number of experiments. The sole line of each experiment contains a solitary integer k…This is for a Java Progrsm problem but If you could fully explain it to me then I should be okay to try to create this program based off your explaination. Thank you! Trigonometry is needed A pipe is to be carried around a right-angled corner of two intersecting corridors. Suppose that the widths of the two intersecting corridors are 5 feet and 8 feet. Your objective is to find the length of the lingest pipe, rounded to the nearest foot, that can be carried level around the right-angled corner. What I have to do is the following: Write a program that prompts the user to input the widths of both the hallways/ The program then outputs the length of the longest pipe, rounded to the nearest foot, that can be carried level around the right-angled cprner. Note that the length of the pipe os goven by l = AB + BC = 8 /SIN 0 (Omega) + 5 / cos 0(Omega), where 0 < > Omega < pi/ 2You are a computer research scientist at Tesla, and your task is to create a computer vision application for self-driving cars to detect object and avoid collision. You know that Graham's scan is a method of computing the convex hull of a finite set of points in the plane. You decide to apply this algorithm to achieve the goal of your task. a) Suppose Graham's scan executes n points, where n >= 3. Prove that, at the end of the program, the stack S consists of, from bottom to top, exactly the vertices of convex hull in counter-clockwise order.