|Online Judge||Problem Set||Authors||Online Contests||User|
The Gossiping System
A common amusement in almost any society, though certainly not the most glamorous one, is for its inhabitants to spread rumours about each other. In the town of Knoxville, this is definitely known to be the case. In order to establish some sort of order without completely ruin the pleasure of gossiping, they have agreed on a system for everyday life activities, in which rumours spread in a controlled fashion. The inhabitants meet in certain groups in their work, as well as in their spare time, on a daily basis. The following three criteria are met for their system:
As a mathematician living in Knoxville, you are interested in studying the existence conditions for these systems for large values of n. However, you soon realise the complexity of these combinatorial objects, and choose to study only their simplest non-trivial class, the (n,g,m,2)-gossiping systems.
On the first line of input, is a single positive integer t. Thereafter t test cases follow. Each test case consists of one positive number n, 1 <= n <= 1050, given in the standard base 10 representation, where n specifies the number of persons.
For each test case in the input, output the text 'Yes.' on a line of its own, if there exists a (n,g,m,2)-gossiping system for any positive integers g>1 and m>0 for the value of n in the test case, otherwise output the text 'No.'
5 3 4 5 6 678678658335615
Yes. No. No. Yes. Yes.
[Submit] [Go Back] [Status] [Discuss]
Home Page Go Back To top
All Rights Reserved 2003-2013 Ying Fuchen,Xu Pengcheng,Xie Di
Any problem, Please Contact Administrator