A $PDA$ is called restricted if on any transition it can increase the height of the stack by at most one symbol.That is for any rule $\delta(q,a,Z)$ contains $(p,\gamma),$ it must be that $|\gamma|\leq 2.$ Show that if $P$ is a $PDA,$then there is a restricted $PDA$ $P_{3},$such that $L(P)=L(P_{3}).$