Let $$ be a randomized algorithm computing a function $$ with Pr$(()=())>=1$

$3$ for

every argument $$ of $.$ Assume that one is aware of the fact that Pr$(()=)<=1$

$4$ for any

wrong result $($i$.$e$.,$ that the probability of computing any specific wrong result is at most $1$

$4).$

Can this knowledge be used to design a useful randomized algorithm for $?$ If so$,$ describe

your randomized algorithm and give the analysis of correctness. If not, explain why.