There are 5 tower connected as a pentagon. Initially there are some guards on each tower. Every night a buglar comes on a tower and equal number of guards from each tower comes to the tower where buglar came and then the guards will stay on that tower. This happens on each tower and at the end of the 5th night the number of guards becomes equal on all the towers. Now we have to find the number of guards which were intially on each tower. If possible. If it is not possible then prove why.