RU-SPB 2017 Problem 114

A positive integer $n$ is called almost-square if $n$ can be represented as $n=ab$ where $a,b$ are positive integers that $a\leq b\leq 1.01a$ . Prove that there exists infinitely many positive integers $m$ that there're no almost-square positive integer among $m,m+1,…,m+198$ .