Code in Java onlyYou are given an integer A. Let's define an infinite sequenceS(A) = A%P, A²%P, A³%P,..., where P = 108 +7 is a prime and % isthe modulo operator.Let's also define a decreasing sum D(S) as the sum of all elements of asequence S which are strictly smaller than all preceding elements of S. When S isa sequence of non-negative integers, the number of such elements is clearly finite.Find D(S(A)).Input• The first line of the input contains a single integer T denoting the number oftest cases. The description of T test cases follows.• The first and only line of each test case contains a single integer A.OutputFor each test case, print a single line containing one integer D(S(A)).InputOutput322100000006100000007

Algorithm: 1. Take input from the user as instructed 2. Iterate over for the given test cases. 3.…

Code in Java only You are given an integer A. Let's define an infinite sequence S(A) = A%P, A²%P, A³%P,..., where P = 108 +7 is a prime and % is he modulo operator. Let's also define a decreasing sum D(S) as the sum of all elements of a equence S which are strictly smaller than all preceding elements of S. When S

Code in Java only You are given an integer A. Let's define an infinite sequence S(A) = A%P, A²%P, A³%P,..., where P = 108 +7 is a prime and % is he modulo operator. Let's also define a decreasing sum D(S) as the sum of all elements of a equence S which are strictly smaller than all preceding elements of S. When S

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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In Java (Use the isPrime Method) PrimeNumberMethod.java, provides the isPrime(int number) method for testing whether the number is prime. Use this method to find the number of prime numbers less than 10000. Below are some clarifications for the Java program (a) The lab is to COUNT the prime numbers less than 10000. Do NOT list the prime numbers. (b) A pair prime is two prime numbers whose difference is 2. For e.g. 3,5; 11,13; 17, 19; etc. We can use IsPrime function to count how many pair primes are there in a range from 2 to 100 for example. Create a function pairPrime, that takes one argument. pairPrime should return the number of pair primes between 2 and the argument passed. Use the pairPrime function to count the pair primes between 2 and 1000. Make use of the IsPrime function to solve this task. (This feature is worth 8 points). Use the compile/run button to test tour program. Include the output displayed. It will be similar to: command>javac…
code in python And Vs Xor Shobhit is trying to impress Kriti. Kriti is stuck in a problem and Shobhit wants to solve it to impress her but he can't. So he asks for your help. You are given a positive integer NN, and an array AA of positive integers. The task is to calculate the number of such pairs (i,j)(i,j) where: i<ji<j AiAi &AjAj≥≥AiAiAjAj, where & denotes the bitwise AND operation, and @ denotes the bitwise XOR operation Input Format First-line contains an integer TT denoting the number of test cases. The next line contains a single positive integer NN. The next line contains NN non-negative integers representing the array AA. Output Format Print the number of pairs. Constraints 1≤T≤31≤T≤3 1≤N≤1051≤N≤105 1≤Ai≤1061≤Ai≤106 Time Limit 1 second Example Sample Input 3 5 1 4 3 7 10 3 1 1 1 1 1 Sample Output 1 3 0 Sample Testcase Explanation For the first test case, there is only one pair: (4,7). For the second test case, all pairs are selected. For the Third…
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The programming language used is Java