Here__denoting the number of test cases. The description of T test cases follows. . You are given an integer A. Let's define an infinite sequenceS(A) = A%P, A²%P, AP,..., viiere P = 10 +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 which are strictly smaller than all preceding elements of 9. When 9 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)).InputOutput232100000005100000007

In this question we have to understand and code for the Java program to find the D(S(A)) Let's code…

You are given an integer A. Let's define an infinite sequence S(A) = A%P, A²%P, AP,...viere P = 10 +7 is a prime and % is the modulo operator. Let's also define a decreasing sum D(S) as the sum of all elements of a sequence which are strictly smaller than all preceding elements of S. When is a sequence of non-negative integers, the number of sudi elements is clearly finite. Find D(S(A)). Input • The first line of the input contains a single integer T denoting the number of test cases. The description of T test cases follows. • The first and only line of ead; test case contains a single integer A. Output For ead: test case, print a single line containing one integer D(S(A)). Input Output 2 3 2 100000006 100000007

You are given an integer A. Let's define an infinite sequence S(A) = A%P, A²%P, AP,...viere P = 10 +7 is a prime and % is the modulo operator. Let's also define a decreasing sum D(S) as the sum of all elements of a sequence which are strictly smaller than all preceding elements of S. When is a sequence of non-negative integers, the number of sudi elements is clearly finite. Find D(S(A)). Input • The first line of the input contains a single integer T denoting the number of test cases. The description of T test cases follows. • The first and only line of ead; test case contains a single integer A. Output For ead: test case, print a single line containing one integer D(S(A)). Input Output 2 3 2 100000006 100000007

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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Let S = {1, 2, 3, ..., n). Consider the following two statements: 1. If 12 is odd, then S has the same number of subsets with an odd number of elements as subsets with an even number of elements. 2. If 72 is even, then S has the same number of subsets with an odd number of elements as subsets with an even number of elements. Which of the following is correct? Statement 1 is true and Statement 2 is false. Statement 1 is true and Statement 2 is true. Statement 1 is false and Statement 2 is false. Statement 1 is false and Statement 2 is true.
Ql: The Collatz conjecture function is defined for a positive integer m as follows. (COO1) g(m) = 3m+1 if m is odd = m/2 if m is even =1 if m=1 The repeated application of the Collatz conjecture function, as follows: g(n), g(g(n)), g(g(g(n))), ... e.g. If m=17, the sequence is 1. g(17) = 52 2. g(52) = 26 3. g(26) = 13 4. g(13) = 40 5. g(40) = 20 6. g(20) = 10 7. g(10) = 5 8. g(5) = 16 9. g(16) = 8 10. g(8) = 4 11. g(4) = 2 12. g(2) = 1 Thus if m=17, apply the function 12 times in order to reach m=1. Use Recursive Function.
Correct answer will be upvoted else Multiple Downvoted. Computer science. You are given an arrangement an of length n comprising of integers from 1 to n. The grouping may contain duplicates (for example a few components can be equal). Track down the number of tuples of m=3 components with the end goal that the maximum number in the tuple varies from the base by close to k=2. Formally, you want to view as the number of triples of lists i<j<z with the end goal that max(ai,aj,az)−min(ai,aj,az)≤2. For example, on the off chance that n=4 and a=[1,2,4,3], there are two such triples (i=1,j=2,z=4 and i=2,j=3,z=4). In the event that n=4 and a=[1,1,1,1], all four potential triples are suitable. Input The principal line contains a solitary integer t (1≤t≤2⋅105) — the number of experiments. Then, at that point, t experiments follow. The principal line of each experiment contains an integer n (1≤n≤2⋅105) — the length of the succession a. The following line contains n…
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You are the chief commander of US Army; you have been deployed in an ongoing war training of defusing the mine. Mines are placed on the ground which can be considered as a gird of size N*M. Each block (i, j) has a mine in it if and only if the summation of the block coordinates is divisible by 2. Your task is to move from the first row to the last row. The mines will not blow if the given rules are followed: • If you are on even row you can move to any cell that is in the neighborhood • If you are on odd row, you can only go the odd row that has mine on that and same with the unmined row. You have to develop a python program to calculate the number of ways to reach row number N starting from row number 1. Test Cases: 4 8 Output: 10
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Given the functions G(a,b,c) = ∏M ( 1,2,3,5) and F(a,b,c) = ∑m (0,2,4,5 ), express F'+G as Product of Maxterms by filling in the single blank below:F'+G= ∏M (__?)
In a company, there are several branches. Let us consider a branch of that company having N employees, if the manager is allotted to that branch(s) then he is known to everyone else in that branch. Note that the property of "known to everyone" is unique to a manager. Your task is to find the manager in that branch. Input from the user in main ( ), the square matrix M where if an element of row i and column j is set to 1 it means that ith person knows jth person. You need to write a function managerId ( ) which returns the id of the manager if present or else returns -1. The function managerId ( ) takes two arguments - the square matrix of N *N and its size N. Call managerId ( ) from the main ( ) output the information about the manager. Assume all diagonal elements to be 1 (as everyone knows him/herself) and there is at most one manager in the company.
Making ChangeAssume we have a set of N>0 tokens each of different value {v1, v2, …, vN} with an unlimited supply of each tokenfrom which we have to give a customer some change.What is the minimum number of tokens to return as change?Write a functionint mintokens(int c, int a[], int len)wherec is the amount of change owed to the customera[] is a 1-dimensonal array of token valueslen is the number of elements (i.e., number of different token values) in a[]and returns the minimum number of tokens it takes to return change due cor -1 if change is not possible or if len,c<1File you must submit: soln_func.ccExamples:c = 30 a[] = {5, 10, 25}Returns: 2Explanation: 1x5 + 1x25c = 11 a[] = {5, 9, 1, 6}Returns: 2Explanation: 1x5 + 1x6c = 15 a[] = {3, 17, 1, 21, 4}Returns: 4Explanation: 1x3 + 3x4c = 7 a[] = {5, 9, 3, 6}Returns: -1Explanation: Not possible to make change.c = 7 a[] = {}c = 0, a[]={1, 2}Each returns: -1Explanation: For each, at least one of the following is true; len,c<1
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Let N be the positive integers f: N->N, f(x)=5x, this function is O a. not injective O b. injective O c. surjective O d. No answer is correct