Question 151
On the board below, it is allowed to move any object from its square to any empty adjacent square above, below, next to or diagonally. 
a) Shows how to change the position of all hats with all trophies in just five moves. Argument because it is not possible to change them from position with less than five movements.
b) In this other board shown below, what is the minimum number of moves to change position hats with trophies?
c) What if it were a board similar to the previous ones, but with 1000 hats and 1000 trophies, what would be the minimum of movements to change them position?
a) Shows how to change the position of all hats with all trophies in just five moves. Argument because it is not possible to change them from position with less than five movements.
b) In this other board shown below, what is the minimum number of moves to change position hats with trophies?
c) What if it were a board similar to the previous ones, but with 1000 hats and 1000 trophies, what would be the minimum of movements to change them position?