i'm having this doubt ...

once the person enters the loop then he cannot escape out since it is a directed graph and hence "Infinite paths",

but if he is able to choose a path other than the "looped path" and reaches the destination, then we are supposed to count that path as valid....

so according to the question is this what i have to do?

please help!!

for eg : consider the path

    1->2
    1->3
    2->3
    4->2
    3->4
    4->5

in this 2->3->4->2 forms a loop path

but 1->3->4->5 can lead to the destination