
    Given the current count of delivery vehicles in a grid zone, determine the minimum number of vehicles needed to create the next perfectly square-shaped zone that would allow for balanced fleet distribution. The solution will help transportation managers optimize vehicle placement across the delivery network while maintaining equal coverage in square-shaped zones.
    

    
import math

def next_Perfect_Square(N):
    """
    Given the current count of delivery vehicles in a grid zone, determine the minimum number of vehicles needed to create the next perfectly square-shaped zone that would allow for balanced fleet distribution. The solution will help transportation managers optimize vehicle placement across the delivery network while maintaining equal coverage in square-shaped zones.
    

    """
import math

def next_Perfect_Square(N):
    """
    Given the current count of delivery vehicles in a grid zone, determine the minimum number of vehicles needed to create the next perfectly square-shaped zone that would allow for balanced fleet distribution. The solution will help transportation managers optimize vehicle placement across the delivery network while maintaining equal coverage in square-shaped zones.
    

    """
    nextN = math.floor(math.sqrt(N)) + 1
    return nextN * nextN