MathForces: Math Olympiads
MathForces - Math Olympiadsβeta
Login Register

Oh-matrix

Author: admin
Problem has been solved: 129 times

Русский язык | English Language



Let $ [n] $ be the largest integer not exceeding $ n $. Three numbers $ x $, $ y $ and $ z $ are given, such that $ 1012 \leq [x] \leq 1015 $, $ 632 \leq [y] \leq 640 $, $ 375 \leq [z] \leq 385 $. Find the smallest possible value of \begin{vmatrix} x+1 & y & z\\ x & y+1 & z\\ x & y & z+1 \end{vmatrix}





Sorry, you need to login into your account