Consider the problem of finding a path in the grid shown below from the position S to the position G$.$ The agent can move on the grid horizontally and vertically, one square at a time $($each step has a cost of one$).$ No step may be made into a forbidden crossed area.Number the nodes in order in which they are traversed in an iterative deepening depth$-$first search from S to G$,$ given that the order of the operators you will test is: up$,$ left, right, then down. At what depth the solution is reached?

G S