Please Code this using C++ and provide snapshot of the following input caseExample Input33 4 1 21 10 15 201 8 1 8Example Output1001703 An integer X is cool if it has a primitive root modulo X.The coolness of a non-empty set of N distinct integers S = {x1, x2,..., *N} isthe number of cool divisors ofII"1 ¤i.You are given four integers L, R, A and B. Let S be the set containing allintegers between L and R (inclusive). Consider all non-empty subsets of S withsize between A and B (inclusive). Find the sum of values of coolness of all thesesubsets. Since this sum can be huge, compute it modulo 998, 244, 353.

An integer X is cool if it has a primitive root modulo X. The coolness of a non-empty set of N distinct integers S = {x1, x2,..., ¤N}is the number of cool divisors of II, *i. You are given four integers L, R, A and B. Let S be the set containing all integers between L and R (inclusive). Consider all non-empty subsets of S with size between A and B (inclusive). Find the sum of values of coolness of all these subsets. Since this sum can be huge, compute it modulo 998, 244, 353.

An integer X is cool if it has a primitive root modulo X. The coolness of a non-empty set of N distinct integers S = {x1, x2,..., ¤N}is the number of cool divisors of II, *i. You are given four integers L, R, A and B. Let S be the set containing all integers between L and R (inclusive). Consider all non-empty subsets of S with size between A and B (inclusive). Find the sum of values of coolness of all these subsets. Since this sum can be huge, compute it modulo 998, 244, 353.

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

See similar textbooks

Similar questions

Suppose we have the following sets: P, Q, and R. Prove or disprove that if for all x, (x ∈ P) → ((x ∈ Q) → (x ∈ R)), then P ⋂ Q ⊆ R
Let the Universal set be {a,b,c,d,e,f,g,h,i,j] Consider the subsets A = {a,d,h,i} B= {b,c,d.,f,i,j} C = {a,c,e,f,g,} What is (An B' )'?
Analyze the approximation algorithm of the problem consists of a finite set X and a family F of subsets of X, such that every element of X belongs to at least one subset.
Fix two positive integers k and n so that k < n/2. Let G = (X, Y )be the bipartite graph in which the vertices of X are the k-elementsubsets of [n], the vertices of Y are the (k + 1)-element subsets of [n],and there is an edge between x ∈ X and y ∈ Y if and only if x ⊂ y.Prove that X has a perfect matching into Y by 1: using Philip Hall’s theorem,2: finding a perfect matching of X to Y .
Given a set S of integers, we say that S can be partitioned if it can be split into two disjoint sets Uand Vwhose sums are equal–in other words, we can take sets ? and ? so that ?∪?=?, ?∩?=∅, and ∑??∈?=∑??∈?. Let PARTITION= { <S> | Scan be partitioned }. a.Show that PARTITION NP by writing either a verifier or an NDTM. b.Show that PARTITIONis NP-complete by reduction from SUBSET-SUM.
The sum-of-subsets problem is the following: Given a sequence a1 , a2 ,..., an of integers, and an integer M, is there a subset J of {1,2,...,n} such that i∈J ai = M? Show that this problem is NP-complete by constructing a reduction from the exact cover problem.
On S = f2; 4; 6; 10; 12; 20; 30; 60g we work with the divisibility relation R:xRy , x divides y:(i) Find all non-empty subsets U S, so that 6 is an R-lowerbound of U.(ii) Let A = f6; 10; 12g. If A admits an R-supremum, nd it. If A admits an R-in mum, nd it.(iii) Is R a lattice?
Consider the Fibonacci sequence F(0)=0, F(1)=1 and F(i)=F(i-1)+F(i-2) for i > 1. For the sake of this exercise we define the height of a tree as the maximum number of vertices of a root-to-leaf path. In particular, the height of the empty tree is zero, and the height of a tree with a single vertex is one. Prove that the number of nodes of an AVL tree of height h is at least F(h) and this inequality is tight only for two values of h.
Given: 1. ∀s1,s2 Subset(s1,s2) ⇔ [∀x Member(x,s1) ⇒ Member(x,s2)].Prove: H. ∀s1,s2,s3 [Subset(s1,s2) ∧ Subset(s2,s3)] ⇒ Subset(s1,s3).
We are given a simple connected undirected graph G = (V, E) with edge costs c : E → R+. We would like to find a spanning binary tree T rooted a given node r ∈ T such that T has minimum weight. Consider the following modifiedPrim algorithm that works similar to Prim’s MST algorithm: We maintain a tree T (initially set to be r by itself) and in each iteration of the algorithm, we grow T by attaching a new node T in the cheapest possible way such that we do not violate the binary constraint; if it is not possible to grow the tree, we declare the instance to be infeasible.1: function modifiedPrim(G=(V, E), r)2: T ← {r}3: while |T| < |V| do4: S ← {u ∈ V : u ∈ T and |children(u)| < 2}5: R ← {u ∈ V : u ∈/ T}6: if ∃ (u, v) ∈ E with u ∈ S and v ∈ R then7: let (u, v) be the minimum cost such edge8: Add (u, v) to T9: else10: return infeasible11: return THow would you either prove the correctness of modifiedPrim or provide a counter-example where it fails to return the correct answer.
Implement Algorithm for Hill-climbing tournament. in: set P of n unranked players (1 ≤ n)out: set R of ranked players which has a champion ranked(R, 0
Let S be a set and let C = (π1, π2,...,πn) be an increasing chain ofpartitions (PART(S), ≤) such that π1 = αS and πn = ωS. Then, the collection HC = ni=1 πi that consists of the blocks of all partitions in the chain is a hierarchy on S.