Amit has $\text{'}a\text{'}$ paise with him while Namit has $\text{'}n\text{'}$ paise with him. $\text{'}a\text{'}$ and $\text{'}n\text{'}$ are positive integers less than $1(100$ paise$).$ What is the probability that $a^2+n^2$ is also less than $1(100$ paise$)?$