In the square grid shown below, a person standing at P_2 position is required to move to P_5 position.The only movement allowed for a step involves, “two moves along one direction followed by one move in a perpendicular direction”. The permissible directions for movement are shown as dotted arrows in the right. For example, a person at given position Y can move only to the positions marked X on the right.Without occupying any of the shaded squares at the end of each step, the minimum number of steps required to go from P_2 to P_5 is