JOIN
Get Time

   Problem Statement  

 Problem Statement for CliqueParty

Problem Statement

    

A set of positive integers is called k-smooth if each pair (A,B) of elements of the set satisfies A <= k * B. For example, the set {3,4,7,9} is 3-smooth but the set {30,60,100} is not: 100 is strictly more than 3 * 30.

Hero likes some sets of integers. In order to determine whether he likes a set S, Hero uses the following procedure:
  1. Form a new set D of pairwise differences of elements in S. In other words: for each pair of elements A, B in S, put the number |A-B| into D.
  2. Hero likes the original set S if and only if the new set D is k-smooth.
You are given a int[] a containing a set of distinct integers. You are also given the int k Hero uses while determining whether he likes a set of integers.

Select the largest subset of a Hero likes. Return the number of elements in that subset.

 

Definition

    
Class:CliqueParty
Method:maxsize
Parameters:int[], int
Returns:int
Method signature:int maxsize(int[] a, int k)
(be sure your method is public)
    
 

Constraints

-Number of elements in a will be between 2 and 50, inclusive.
-Each elements in a will be between 1 and 1,000,000,000, inclusive.
-All elements in a will be distinct.
-k will be between 1 and 1,000,000,000, inclusive.
 

Examples

0)
    
{1,2,3}
2
Returns: 3
Hero likes the entire set a.
1)
    
{1,2,3}
1
Returns: 2
Here, Hero does not like the entire set a, but he does like, for example, the subset {1,3}.
2)
    
{4,10,5,6}
2
Returns: 3
3)
    
{1,2,3,4,5,6}
3
Returns: 4
4)
    
{10,9,25,24,23,30}
7
Returns: 4

This problem statement is the exclusive and proprietary property of TopCoder, Inc. Any unauthorized use or reproduction of this information without the prior written consent of TopCoder, Inc. is strictly prohibited. (c)2024, TopCoder, Inc. All rights reserved.

This problem was used for:
       Single Round Match 684 Round 1 - Division I, Level One