Jump to content
Sign in to follow this  
akun

APMO 2017 No 5 - Pasangan Istimewa

Recommended Posts

Misalkan \(n\) adalah bilangan bulat positif. Sepasang \(n\)-tupel \((a_1,\cdots ,a_n)\) dan \((b_1,\cdots ,b_n)\) dengan anggota bilangan bulat disebut pasangan istimewa jika

\(\left | a_1b_1+\cdots +a_nb_n \right |\leq 1.\)

Tentukan jumlah maksimum dari \(n\)-tupel berbeda dengan anggota bilangan bulat dimana sebarang dua dari mereka membentuk pasangan istimewa.

 

Edited by akun

Share this post


Link to post
Share on other sites

Create an account or sign in to comment

You need to be a member in order to leave a comment

Create an account

Sign up for a new account in our community. It's easy!

Register a new account

Sign in

Already have an account? Sign in here.

Sign In Now

Sign in to follow this  

×