b) this is not legal... each cell can only be visited once (but if this was associated to some fintech problem where total sum is your account balance, I guess this would be a good way to boost it up :D )

c)Yes you can go offline if the number of moves is higher that the total sum of the path toward the final value (cell), but this only holds if a path already exists. If it is the initial search then there is no reference and the condition does not hold (at least one path (solution) needs to exist )

thnx I did not catch those conditions but now that you mentioned it i see how they are crucial for the problem

by helping you I helped myself. Thank you !!!