Give a complete problem formulation for each of the following problems. Choose a
formulation that is precise enough to be implemented.

i. There are six glass boxes in a row, each with a lock. Each of the first fiveboxes holds a key
unlocking the next box in line; the last box holds a banana.You have the key to the
first box, and you want the banana.
ii. You start with the sequence ABABAECCEC, or in general any sequencemade from A,
B, C, and E. You can transform this sequence using the following equalities: AC = E,
AB = BC, BB = E, and Ex = x for any x. For example, ABBC can be transformed into
AEC, and then AC, and then E. Your goal is to produce the
sequence E.
iii. There is an n × n grid of squares, each square initially being eitherunpainted floor or a
bottomless pit. You start standing on an unpainted floorsquare and can either paint the
square under you or move onto an adjacent unpainted floor square. You want
the whole floor painted.
iv. A container ship is in port, loaded high with containers. There 13 rows ofcontainers, each
13 containers wide and 5 containers tall. You control a crane that can move to any
location above the ship, pick up the container under it, and move it onto the dock. You
want the ship unloaded.   give me the state space search for above questions