# Oh-matrix

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}