If you cube each integer in turn from 10 to one million, you will see that 11 of them produce a result that is a palindrome (the same forwards as backwards). For example, 11×11×11=133111×11×11=1331. Write a single line of code to produce those 11 numbers and their cubes in a list of tuples.
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If you cube each integer in turn from 10 to one million, you will see that 11 of them produce a result that is a palindrome (the same forwards as backwards). For example, 11×11×11=133111×11×11=1331.
Write a single line of code to produce those 11 numbers and their cubes in a list of tuples.
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- Write a program that reads in a set of positive integers and outputs how many times a particular number appears in the list. You may assume that the data set has at most 100 numbers and -999 marks the end of the input data. The numbers must be output in increasing order. For example, for the data 15 40 28 62 95 15 28 13 62 65 48 95 65 62 65 95 95 -999 The output is Number Count 13 1 15 2 28 2 40 1 48 1 62 3 65 3 95 4A popular word game involves finding words from a grid of randomly generatedletters. Words must be at least three letters long and formed from adjoining letters.Letters may not be reused and it is valid to move across diagonals. As an example,consider the following 4 * 4 grid of letters: A B C DE F G HI J K LM N O P The word “FAB” is valid (letters in the upper left corner) and the word “KNIFE”is valid. The word “BABE” is not valid because the “B” may not be reused. Theword “MINE” is not valid because the “E” is not adjacent to the “N”. Write a program that uses a 4 * 4 two-dimensional array to represent the gameboard. The program should randomly select letters for the board. You may wishto select vowels with a higher probability than consonants. You may also wish toalways place a “U” next to a “Q” or to treat “QU” as a single letter. The programshould read the words from the text file words.txt (included on the website withthis book) and then use a recursive algorithm to…If you add up all the digits in 468, you get 4 + 6 + 8 = 18. The square and cube of 468 are 219024 and 102503232, respectively. Interestingly, if you add up the digits of the square or cube, you get 18 again. Are there other integers that share this property? Write a program that lists all positive integers k less than 1000 such that the three numbers k, k2, and k3 have digits that add up to the same number.
- In mathematics, a prime number is a natural number greater than 1 that is not a product of two smaller natural numbers, i.e. is it has only two factors 1 and itself. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, 1 × 5 or 5 x 1, involve 5 itself. Note that the prime number series is: 2, 3, 4, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, .. a. Write a Java method named isPrime that takes a natural number as a parameter and returns the if the given number is prime or not using the following header: Public static boolean isPrime (int num) b. Write a Java class called PrimeNumbers that: Reads from the user a natural value n (should be less than or equal 200). Prints a list of the prime numbers from 2 to n and their number and values. The program has to work EXACTLY as given in the following sample run. Hints: You should create a single dimension array to store the prime…Write a program that generates 1,000 random integersbetween 0 and 9 and displays the count for each number. (Hint: Use a list of ten integers, say counts, to store the counts for the number of 0s, 1s, ..., 9s.)Start with any positive number n. If n is even divide it by 2, if n is odd multiply by 3 and add 1. Repeat until n becomes 1. The sequence that is generated is called a bumpy sequence. For example, the bumpy sequence that starts at n = 10 is: 10, 5, 16, 8, 4, 2, 1and the one that starts at 11 is11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1 Write a function named lengthBumpy that returns the length of the bumpy sequence generated by its integer argument. The signature of the function is int lengthBumpy(int n) Examples:lengthBumpy(10) returns 7, and lengthBumpy(11) returns 15. You may assume that the argument n is positive and that the sequence converges to 1 without arithmetic overflow.
- In the classic problem FizzBuzz, you are told to print the numbers from 1 to n. However,when the number is divisible by 3, print "Fizz''. When it is divisible by 5, print "Buzz''. When it isdivisible by 3 and 5, print"FizzBuzz''. In this problem, you are asked to do this in a multithreaded way.Implement a multithreaded version of FizzBuzz with four threads. One thread checks for divisibilityof 3 and prints"Fizz''. Another thread is responsible for divisibility of 5 and prints"Buzz''. A third threadis responsible for divisibility of 3 and 5 and prints "FizzBuzz''. A fourth thread does the numbers.We want to build 10 letter “words” using only the first n=9n=9 letters of the alphabet. For example, if n=5n=5 we can use the first 5 letters, {a,b,c,d,e}{a,b,c,d,e} (Recall, words are just strings of letters, not necessarily actual English words.) How many of these words are there in total? How many of these words contain no repeated letters? How many of these words start with the sub-word “ade”? How many of these words either start with “ade” or end with “be” or both? How many of the words containing no repeats also do not contain the sub-word “bed”?IN JAVA Alice and Bob are playing a board game with a deck of nine cards. For each digit between 1 to 9, there is one card with that digit on it. Alice and Bob each draw two cards after shuffling the cards, and see the digits on their own cards without revealing the digits to each other. Then Alice gives her two cards to Bob. Bob sees the digits on Alice’s cards and lays all the four cards on the table in increasing order by the digits. Cards are laid facing down. Bob tells Alice the positions of her two cards. The goal of Alice is to guess the digits on Bob’s two cards. Can Alice uniquely determine these two digits and guess them correctly? Input The input has two integers p,q (1≤p<q≤9) on the first line, giving the digits on Alice’s cards. The next line has a string containing two ‘A’s and two ‘B’s, giving the positions of Alice’s and Bob’s cards on the table. It is guaranteed that Bob correctly sorts the cards and gives the correct positions of Alice’s cards. Output If Alice can…
- In mathematics, a prime number is a natural number greater than 1 that is not a product of two smaller natural numbers, i.e. is it has only two factors 1 and itself. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, 1 × 5 or 5 × 1, involve 5 itself.Note that the prime number series is: 2, 3, 4, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, …a. Write a Java method named isPrime that takes a natural number as a parameter and returns the if the given number is prime or not using the following header: Public static boolean isPrime(int num) b. Write a Java class called PrimeNumbers that: o Reads from the user a natural value n (should be less than or equal 200). o Prints a list of the prime numbers from 2 to n and their number and values. o The program has to work EXACTLY as given in the following sample run.In mathematics, a prime number is a natural number greater than 1 that is not a product of two smaller natural numbers, i.e. is it has only two factors 1 and itself. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, 1 × 5 or 5 × 1, involve 5 itself.Note that the prime number series is: 2, 3, 4, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, …a. Write a Java method named isPrime that takes a natural number as a parameter and returns the if the given number is prime or not using the following header: Public static boolean isPrime(int num) b. Write a Java class called PrimeNumbers that: o Reads from the user a natural value n (should be less than or equal 200). o Prints a list of the prime numbers from 2 to n and their number and values. o The program has to work EXACTLY as given in the following sample run.Hints: • You should create a single dimension array to store the prime…Write a program that reads a list of integers, and outputs those integers in reverse. The input begins with an integer indicating the number of integers that follow. For coding simplicity, follow each output integer by a space, including the last one. Assume that the list will always contain fewer than 20 integers. Ex: If the input is: 5 2 4 6 8 10 the output is: 10 8 6 4 2 To achieve the above, first read the integers into an array. Then output the array in reverse. import java.util.Scanner; public class LabProgram { public static void main(String[] args) { Scanner scnr = new Scanner(System.in); int[] userList = new int[20]; // List of numElement integers specified by the user int numElements; // Number of integers in user's list// Add more variables as needed numElements = scnr.nextInt(); // Input begins with number of integers that follow/* Type your code here. */}}