Problem 5

Problem code: CME05

All Submissions

Ravi Sharma is a geek ,pursuing his B-Tech in one of the prestigious institutes of India. His birthday falls on 18th of December. This time on his birthday he decided to take all his 14 friends to watch Avatar , the most expensive movie ever released on the silver screen. So he along with his friends went to a nearby popular theatre but were shocked to see a very long queue on the Ticket Window. Even then Ravi joined the queue with hope of getting at least 3 tickets-one definitely for himself, another one for his girlfriend and remaining one for his best friend Sunny. And as said- Fortune favours the brave. He returned with three tickets. But now, all his friends wanted to see the movie with him and selecting some favorites out of them was always going to spoil the party. On the back of Ravi s mind ,it was there to take his girlfriend and Sunny to the movie but he was in a situation in which he could not express his feelings in front of his friends. So Ravi took out the solution to the problem by solving a Combinatorial problem in his mind. He told that all his friends will be playing a game the two winners of which will be accompanying him to the movie. He told all his friends (including his girlfriend and friend Sunny) to stand in a circular manner and declared that every third person will get out until only two of them remained . This problem asks you to determine which J positions out of a circle of M should be chosen so that the J people will always remain ,if every kth person is out. Write on one line the positions which should be chosen for J people to be the winners in order that they would be chosen for termination should the activity have continued.

Input

The first line contains the number of test cases. The following lines contain the data. The data will consist of triples (M,K,J positive integers such that M>J)

Output

For example: a)In the case given ,which position should his girlfriend and his friend Sunny should take if they are the last 2 persons remaining out of 14 persons if every third person gets out. 2)If the input is 10,2,5 which positions should be taken if 5 persons are to remain and every 2nd person is out?

Example

Input:
1
41 3 2 

Output:
16 31

Author:	vishesh_sigma
Date Added:	28-01-2010
Time Limit:	50 sec
Source Limit:	50000 Bytes
Languages:	ADA, ASM, BASH, BF, C, C99 strict, CAML, CLOJ, CLPS, CPP 4.0.0-8, CPP 4.3.2, CS2, D, ERL, F#, FORT, GO, HASK, ICK, ICON, JAR, JAVA, JS, LISP clisp, LISP sbcl, LUA, NEM, NICE, PAS fpc, PAS gpc, PERL, PERL6, PHP, PIKE, PRLG, PYTH, PYTH 3.1.2, RUBY, SCALA, SCM guile, SCM qobi, ST, TEXT, WSPC

Submit

Comments

Login or Register to post a comment.

SUCCESSFUL SUBMISSIONS FOR THIS PROBLEM:

CodeChef is a non-commercial competitive programming community

In order to report copyright violations of any kind, send in an email to copyright@codechef.com

CodeChef - A Platform for Aspiring Programmers

CodeChef was created as a platform to help programmers make it big in the world of algorithms, computer programming and programming contests. At CodeChef we work hard to revive the geek in you by hosting a programming contest at the start of the month and another smaller programming challenge in the middle of the month. We also aim to have training sessions and discussions related to algorithms, binary search, technicalities like array size and the likes. Apart from providing a platform for programming competitions, CodeChef also has various algorithm tutorials and forum discussions to help those who are new to the world of computer programming.

Practice Section - A Place to hone your 'Computer Programming Skills'

Try your hand at one of our many practice problems and submit your solution in a language of your choice. Our programming contest judge accepts solutions in over 35+ programming languages. Preparing for coding contests were never this much fun! Receive points, and move up through the CodeChef ranks. Use our practice section to better prepare yourself for the multiple programming challenges that take place through-out the month on CodeChef.

Compete - Monthly Programming Contests and Cook-offs

Here is where you can show off your computer programming skills. Take part in our 10 day long monthly coding contest and the shorter format Cook-off coding contest. Put yourself up for recognition and win great prizes. Our programming contests have prizes worth up to Rs.20,000 and $700lots more CodeChef goodies up for grabs.

Discuss

Are you new to computer programming? Do you need help with algorithms? Then be a part of CodeChef's Forums and interact with all our programmers - they love helping out other programmers and sharing their ideas. Have discussions around binary search, array size, branch-and-bound, Dijkstra's algorithm, Encryption algorithm and more by visiting the CodeChef Forums and Wiki section.

CodeChef Community

As part of our Educational initiative, we give institutes the opportunity to associate with CodeChef in the form of Campus Chapters. Hosting online programming competitions is not the only feature on CodeChef. You can also host a coding contest for your institute on CodeChef, organize an algorithm event and be a guest author on our blog.

Go For Gold

The Go for Gold Initiative was launched about a year after CodeChef was incepted, to help prepare Indian students for the ACM ICPC World Finals competition. In the run up to the ACM ICPC competition, the Go for Gold initiative uses CodeChef as a platform to train students for the ACM ICPC competition via multiple warm up contests. As an added incentive the Go for Gold initiative is also offering over Rs.8 lacs to the Indian team that beats the 29th position at the ACM ICPC world finals. Find out more about the Go for Gold and the ACM ICPC competition here.

Domain Name Registration, Web hosting, and Website Design provided by BigRock.com