The extraterrestrials living in the planet Numerion revere a specific type of integers N. In particular, for those creatures, an integer N is holy if there exists an integer i >= 1 such that:N = i*i + iHere are some examples of holy numbers:2 (because 2 = 1*1 + 1) 6 (because 6 = 2*2 + 2) 12 (because 12 = 3*3 + 3) In a file called Numerion.java, write a program that: Asks the user to enter an integer N. It is OK if your program crashes when the user does not enter a valid integer. Prints out whether that number is a holy number in planet Numerion. For example: if the user enters 25, your program output should look EXACTLY like this: Enter an integer N: 25 25 is not a holy number in Numerion. Exiting... As another example: if the user enters 12 (a holy number, since 12 = 3*3 + 3), your program output should look EXACTLY like this:Enter an integer N: 12 12 is a holy number in Numerion. Exiting...

The extraterrestrials living in the planet Numerion revere a specific type of integers N. In particular, for those creatures, an integer N is holy if there exists an integer i >= 1 such that:N = ii + iHere are some examples of holy numbers:2 (because 2 = 11 + 1) 6 (because 6 = 22 + 2) 12 (because 12 = 33 + 3) In a file called Numerion.java, write a program that: Asks the user to enter an integer N. It is OK if your program crashes when the user does not enter a valid integer. Prints out whether that number is a holy number in planet Numerion. For example: if the user enters 25, your program output should look EXACTLY like this: Enter an integer N: 25 25 is not a holy number in Numerion. Exiting... As another example: if the user enters 12 (a holy number, since 12 = 3*3 + 3), your program output should look EXACTLY like this:Enter an integer N: 12 12 is a holy number in Numerion. Exiting...

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter5: Control Structures Ii (repetition)

Section: Chapter Questions

Problem 7PE

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There is a legend about a magical park with N × N trees. The trees are positioned in a square grid with Nrows (numbered from 1 to N from north to south) and N columns (numbered from 1 to N from west to east).The height (in metres) of each tree is an integer between 1 and N × N, inclusive. Magically, the height ofall trees is unique.Bunga is standing on the northmost point of the park and wants to count the number of visible trees for eachcolumn. Similarly, Lestari is standing on the westmost point of the park and wants to count the number ofvisible trees for each row. A tree X is visible if all other trees in front of the tree X are shorter than the treeX.For example, let N = 3 and the height (in metres) of the trees are as follows.6 1 87 5 32 9 4• On the first column, Bunga can see two trees, as the tree on the third row is obstructed by the othertrees.• On the second column, Bunga can see all three trees.• On the third column, Bunga can see only the tree on the first row, as the…
Correct answer will be upvoted else downvoted. Computer science. Allow us to signify by d(n) the amount of all divisors of the number n, for example d(n)=∑k|nk. For instance, d(1)=1, d(4)=1+2+4=7, d(6)=1+2+3+6=12. For a given number c, track down the base n to such an extent that d(n)=c. Input The principal line contains one integer t (1≤t≤104). Then, at that point, t experiments follow. Each experiment is characterized by one integer c (1≤c≤107). Output For each experiment, output: "- 1" in case there is no such n that d(n)=c; n, in any case.
There are m towns in a straight line, with a road joining each pair of consecutive towns. Legends say that an ordinary person in one of these towns will become a hero by completing a sequence of n quests. The first quest will be completed in their home town, but after each quest they may complete their next quest either in the same town or after moving to a neighbouring town.For example, if n = 5 and m = 4, a resident of town 2 may become a hero as follows:• begin in town 2 for quest 1,• then move to town 3 for quest 2,• stay in town 3 for quest 3,• return to town 2 for quest 4, and• move to town 1 for quest 5.Design an algorithm which runs in O(nm) time and finds the total number of waysto complete n quests.
Modeling the spread of a virus like COVID-19 using recursion. Let N = total population (assumed constant, disregarding deaths, births, immigration, and emigration). S n = number who are susceptible to the disease at time n (n is in weeks). I n = number who are infected (and contagious) at time n. R n = number who are recovered (and not contagiuous) at time n. The total population is divided between these three groups: N = S n + I n + R n There are several hidden assumptions here that may or may not apply to COVID-19, such as a recovered person is assumed to not be able to get the disease a second time, at least within the time window being examined. On week 0 (the start), you assume a certain small number of people have the infection (just to get things going). Everyone else is initially susceptible, and no one is recovered. There are two constants of interest: Let period = time period that it takes for an infected person to recover (recover meaning they become not infectious to…
Correct answer will be upvoted else downvoted. Computer science. stage is a succession of n integers from 1 to n, in which every one of the numbers happen precisely once. For instance, [1], [3,5,2,1,4], [1,3,2] are stages, and [2,3,2], [4,3,1], [0] are not. Polycarp was given four integers n, l, r (1≤l≤r≤n) and s (1≤s≤n(n+1)2) and requested to find a stage p of numbers from 1 to n that fulfills the accompanying condition: s=pl+pl+1+… +pr. For instance, for n=5, l=3, r=5, and s=8, the accompanying stages are reasonable (not all choices are recorded): p=[3,4,5,2,1]; p=[5,2,4,3,1]; p=[5,2,1,3,4]. However, for instance, there is no change reasonable for the condition above for n=4, l=1, r=1, and s=5. Help Polycarp, for the given n, l, r, and s, find a stage of numbers from 1 to n that fits the condition above. In case there are a few appropriate changes, print any of them. Input The primary line contains a solitary integer t (1≤t≤500). Then, at that point,…
Given a positive integer, N, the ’3N+1’ sequence starting from N is defined as follows:If N is an even number, then divide N by two to get a new value for NIf N is an odd number, then multiply N by 3 and add 1 to get a new value for N.Continue to generate numbers in this way until N becomes equal to 1For example, starting from N = 3 the complete ’3N+1’ sequence would be:3, 10, 5, 16, 8, 4, 2, 1Write code to ask the user to enter a positive integer (N) in the main() function. Write a function sequence()that receives the integer value N and display the ‘3N+1’ sequence starting from the integer value that wasreceived (entered by the user). The function must also count and return the numbers that the sequenceconsists of. The returned value must be displayed from the main() function.
Suppose a genetic algorithm uses chromosomes of the form x = abcdefghwith a fixed length of eight genes. Each gene can be any digit between 0 and 9. Let the fitness of individual x be calculated as: ?(?)=(?+?)−(?+?)−(?+?)−(?+ℎ) And let the population consist of fiveindividuals with the following chromosomes: ?1=12345678 ?2=23456781 ?3=45637281 ?4=53617284 ?5=23921285 a)Computethe fitness value for each individual and sort them in order with the fittest first and the least fit last. b)To create mating pool, roulette wheel selection is used. You will select the individuals. The random values to perform roulette wheel selection are 0.15, 0.56, 0.50, 0.68, and 0.95respectively. Please construct the mating pool step by step and write the selected individuals clearly. c)Perform thefollowing crossover operations in the mating pool: i)Cross the fittest two individuals using one–point crossover at the middle point. ii)Cross the second and third fittest individuals using a two–point crossover…
Given a positive integer, N, the ’3N+1’ sequence starting from N is defined as follows: If N is an even number, then divide N by two to get a new value for N. If N is an odd number, then multiply N by 3 and add 1 to get a new value for N. Continue to generate numbers in this way until N becomes equal to 1. For example, starting from N = 3 the complete ’3N+1’ sequence would be:3, 10, 5, 16, 8, 4, 2, 1 Do the following: Write a code in C++ to ask the user to enter a positive integer (N) in the main() function. Write a function sequence() that receives the integer value N and display the ‘3N+1’ sequence starting from the integer value that wasreceived (entered by the user). The function must also count and return the numbers that the sequence consists of. The returned value must be displayed from the main() function. Example input and output is given in the following image.
The Fibonacci series is an infinite sequence of natural numbers, starting from 0 and 1, from which the terms are generated from the sum of the previous sequence elements. a0=0, a1=1, a2=a0+a1, ... , an+1=an+an-1 Implement an algorithm in Java that get n from console and that print the first n terms of the Fibonacci series.
Correct answer will be upvoted else downvoted. Computer science. positive integer is the gcd of that integer with its amount of digits. Officially, gcdSum(x)=gcd(x, amount of digits of x) for a positive integer x. gcd(a,b) means the best normal divisor of an and b — the biggest integer d to such an extent that the two integers an and b are detachable by d. For instance: gcdSum(762)=gcd(762,7+6+2)=gcd(762,15)=3. Given an integer n, track down the littlest integer x≥n to such an extent that gcdSum(x)>1. Input The primary line of input contains one integer t (1≤t≤104) — the number of experiments. Then, at that point, t lines follow, each containing a solitary integer n (1≤n≤1018). All experiments in a single test are unique. Output Output t lines, where the I-th line is a solitary integer containing the response to the I-th experiment.
If the first number in a sequence is a positive integer, x Let ao= x, an is defined as follows if an is even, then an+1 = an/2 if an is odd, then an+1 =3 *an+ 1 Then there exists an integer k, such that ak =1 For example, if: 75, then k = 14 and the numbers in the sequence are: 75, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1. The largest number in the sequence is 340 and it is a position 4 in the sequence (assuming 75 is at position 1) Design and implement a complete C++ program that will • read a series of integers (greater than 0) from a file and for each integer display (to the screen) − the integer − the number of steps it takes to reach 1 − the largest value in the sequence and its position
Consider the problem of making change for n cents using the fewest number of coins. Assume that we live in a country where coins come in k dierent denominations c1, c2, . . . , ck, such that the coin values are positive integers, k ≥ 1, and c1 = 1, i.e., there are pennies, so there is a solution for every value of n. For example, in case of the US coins, k = 4, c1 = 1, c2 = 5, c3 = 10, c4 = 25, i.e., there are pennies, nickels, dimes, and quarters. To give optimal change in the US for n cents, it is sufficient to pick as many quarters as possible, then as many dimes as possible, then as many nickels as possible, and nally give the rest in pennies. Design a bottom-up (non-recursive) O(nk)-time algorithm that makes change for any set of k different coin denominations. Write down the pseudocode and analyze its running time. Argue why your choice of the array and the order in which you fill in the values is the correct one. Notice how it is a lot easier to analyze the running time of…