01.Then n space separated integers denoting the values for the n houses.
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01.Then n space separated integers denoting the values for the n houses.
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- Primary U.S. interstate highways are numbered 1-99. Odd numbers (like the 5 or 95) go north/south, and evens (like the 10 or 90) go east/west. Auxiliary highways are numbered 100-999 and service the primary highway indicated by the rightmost two digits. Thus, the 405 services the 5, and the 290 services the 90. Given a highway number, indicate whether it is a primary or auxiliary highway. If auxiliary, indicate what primary highway it serves. Also, indicate if the (primary) highway runs north/south or east/west. Ex: If the input is: 90 The output is: The 90 is primary, going east/west. Ex: If the input is: 290 The output is: The 290 is auxiliary, serving the 90, going east/west. Ex: If the input is: 0 Or any number not between 1 and 999, the output is: 0 is not a valid interstate highway number. import java.util.Scanner; public class LabProgram { public static void main(String[] args) { Scanner scnr = new Scanner(System.in); int highwayNumber; int…Question: 1A perfect number is an integer that is the sum of its positive proper divisors (all divisors except itself). For example, 6 is a perfect number. The divisors of 6 except itself are 1,2 and 3. The sum of the proper divisors of 6 is 6. Thus 6 is a perfect number. You have to take integers as input and continue taking input until the word “STOP” is given as input. After taking the inputs you have to classify the integers as Perfect and Imperfect and store it in a dictionary(Please see the output for better understanding).[Note: You CANNOT use any built in functions EXCEPT input(),range(),print()]Sample Input :61082528100496530STOPSample Output:(No need to follow the output format. Just print the resultant dictionary.){Perfect: [6,28,496],Imperfect: [10,8,25,100,530]}Birthday party At Lili's birthday party, there was a game arranged by Jojo as the host. That game is to distribute Y number of candy to X number of people where all the candy tastes sweet except for one last candy which tasted like rotten nuts. Candy distribution will be sequentially starting from position Z and if past the last position then the distribution of candy continues to the first position. Write down the person in which position will get the last candy. Input FormatThe first line of input is T, which is the number of test cases.The second row and the next number of T rows are X, Y, Z.X is the number of people to whom the candy will be distributed.Y is the number of candy available.Z is the starting position of the person to whom the candy will be distributed. Output FormatA string “Case #N: “ and a number representing the position of the person who got the last candy. Constraints? ≤ ? ≤ ???? ≤ ?, ? ≤ ???? ≤ ? ≤ X Sample Input 43 4 13 5 24 2 24 5 2 Sample OutputCase #1: 1Case…
- Birthday party At Lili's birthday party, there was a game arranged by Jojo as the host. That game is to distribute Y number of candy to X number of people where all the candy tastes sweet except for one last candy which tasted like rotten nuts. Candy distribution will be sequentially starting from position Z and if past the last position then the distribution of candy continues to the first position. Write down the person in which position will get the last candy. Input FormatThe first line of input is T, which is the number of test cases.The second row and the next number of T rows are X, Y, Z.X is the number of people to whom the candy will be distributed.Y is the number of candy available.Z is the starting position of the person to whom the candy will be distributed. Output FormatA string “Case #N: “ and a number representing the position of the person who got the last candy. Constraints1 ≤ T ≤ 1001 ≤ X, Y ≤ 1031 ≤ Z ≤ X Sample Input 43 4 13 5 24 2 24 5 2 Sample OutputCase #1: 1Case…Exercise III: Catalan numbers For n e N, denote by c, to be the number of ways to form a "mountain range" with n upstrokes (U) and n downstrokes (D) that all stay above a horizontal line. For instance: for n = 1, only UD is allowed, so c = 1; • for n = 2, only UUDD and UDUD are allowed, so c2 = 2. 1. Check that c3 = 5 by writing down or drawing all possible options. 2. Consider the power series +00 g(x) = 2 n=0 (by definition co = 1) called the generating function of the sequence (en). Justify that cn < 4" for each n, and deduce that the radius of convergence of g is at least 1/4. 3. It can be show that for r E (-1/4, 1/4), g(x) = 1+ xg(r)? and therefore 1- VI 4.x g(x) = 2.x Use this formula and the known power series of V1+ x to write the first terms of the power series expansion of g, in the form g(x) = co + c1x + c2x2 + C3x + c4x* + ·.. Show how you obtain a few terms, but you do not need to show all computations and you can use a calculator for fractions. Check that you recover co,…Magic program ask user to enter three integers by the user, the three integers represent left bound,right bound and arbitrary digit ‘m’, where left bound is less than right bound. Program should print allmagic numbers in the given range that doesn’t contain digit 'm'. The number is magic if its every digit islarger than the sum of digits which are on the right side of that digit. For example, 94210 is magicnumber because 1 > 0, 2 > 1+0, 4>2+1+0, and 9 > 4+2+1+0.Write a complete C program that Call only One Function (magic_numbers) that will print all magicnumbers excluding a given digit ‘m’ that also entered by user ?
- Primary U.S. interstate highways are numbered 1-99. Odd numbers (like the 5 or 95) go north/south, and evens (like the 10 or 90) go east/west. Auxiliary highways are numbered 100-999, and service the primary highway indicated by the rightmost two digits. Thus, l-405 services l-5, and l-290 services l-90. Given a highway number, indicate whether it is a primary or auxiliary highway. If auxiliary, indicate what primary highway it serves. Also indicate if the (primary) highway runs north/south or east/west. Ex: If the input is: 90 the output is: I-90 is primary, going east/west. Ex: If the input is: 290 the output is: I-290 is auxiliary, serving I-90, going east/west. Ex: If the input is: or any number not between 1 and 999, the output is: 0 is not a valid interstate highway number.Most of the children in the kindergarten have been picked up by their parents, and there are only a few children left. The teacher has some candy in his hand, and now he wants to give the children a point, but he does not want the children to eat too much sugar. The teacher came up with the idea of adding 1 to the remainder of each child's age divided by 2. Enter: Number of children n(1<=n<=10) and age of n children Output: Total number of candies Sample input: 3 656 Example output: 4 | Try to write a program(C)Brute force equation solver this is python program. 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: 8 7 38 3 -5 -1 Then the output is: 3 2 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. ''' Read in first equation, ax + by = c '''a = int(input())b = int(input())c = int(input()) ''' Read in…
- Broken Cabins Problem Statement: There is an Office consisting of m cabins enumerated from 1 to m. Each cabin is 1 meter long. Sadly, some cabins are broken and need to be repaired. You have an infinitely long repair tape. You want to cut some pieces from the tape and use them to cover all of the broken cabins. To be precise, a piece of tape of integer length t placed at some positions will cover segments 5,5+1-sit-1. You are allowed to cover non-broken cabins, it is also possible that some pieces of tape will overlap. Time is money, so you want to cut at most k continuous pieces of tape to cover all the broken cabins. What is the minimum total length of these pieces? Input Format The first line contains three integers n,m and k(1sns10°, namsloº, Isksn) - the number of broken cabins, the length of the stick and the maximum number of pieces you can use The second line contains n integers bl,b2,bn (Isbism) - the positions of the broken cabins. These integers are given in increasing…Perfect number, a positive integer that is equal to the sum of its proper divisors. The smallest perfect number is 6, which is the sum of 1, 2, and 3. Other perfect numbers are 28, 496, and 8,128. Write a code to check whether a entered number is a perfect number or not.Check whether a number is divisible by 5. If yes, find the area of a triangle. If not,find the area of a rectangle.[Area of triangle= ½ * b*h; Area of rectangle = l*b]