$1$ int binsearch $($int X $,$ int V $[],$ int n $)$

$2\{$

$3$ int low $,$ high $,$ mid $,$ i ;

$4$ low $=0$;

$5$ high $=$ n $-1$;

$6$ i $=0$;

$7$ while $($ i $<$ high $)$

$8\{$

$9$ if$($ V$[$ i $]>$ V $[$ i $+1])$

$10$ return $-2$;

$11$ i $++$;

$12\}$

$13$

$14$ while $($ low $<=$ high $)$

$15\{$

$16$ mid $=($ low $+$ high $)/2$;

$17$ if $($ X $<$ V $[$ mid $])$

$18$ high $=$ mid $-1$;

$19$ else

$20$ if $($ X $>$ V $[$ mid $])$

$21$ low $=$ mid $+1$;

$22$ else

$23$ return mid ;

$24\}$

$25$ return $-1$;

$26\}$

This code takes as input a sorted array V of size n$,$ and an integer X$,$ if X exists in the array it will return the index of X$,$ else it will return $-1.$

$1.$ Draw a data flow graph for the above binsearch$()$ function. Please actually draw it

$2.$ Assuming that the input array V$[]$ has at least one element in it$,$ find an infeasible path in the data flow graph for the binsearch$()$ function.

$3.$ Find a set of complete paths satisfying the all$-$defs selection criterion with respect to variable mid.

$4.$ Find a set of complete paths satisfying the all$-$defs selection criterion with respect to variable high.

$5.$ Find a set of complete paths satisfying the all$-$defs selection criterion with respect to variable low.