import random
import math
import turtle

def draw_pond(size):
	'''
	Draw the square with size size
	Precondition: Turtle is in center facing right with pen down and color black
	Postcondition: Turtle ends in the top left corner of the pond with pen down and color black
	'''
	turtle.up()
	turtle.right(180)
	turtle.forward(POND_SIZE/2) #Go to the left half way to keep the pond centered
	turtle.right(90)
	turtle.forward(POND_SIZE/2) #Go up half way to keep the pond centered.
	turtle.right(90)
	turtle.down()
	turtle.color('powder blue')
	turtle.begin_fill()
	turtle.forward(size)
	turtle.right(90)
	turtle.forward(size)
	turtle.right(90)
	turtle.forward(size)
	turtle.right(90)
	turtle.forward(size)
	turtle.right(90)
	turtle.end_fill()
	turtle.color('black')

def go_random(radius, circles):
	'''
	Jump to a random location
	The location will be acceptable so that none of the ripples are outside of the pond area
	'''
	turtle.up()
	turtle.setpos(random.randint(xmin+(radius * (circles+1)), (xmin+POND_SIZE) - (radius * (circles+1))), random.randint((ymin-POND_SIZE) + (radius * (circles+1)), ymin-(radius * (circles+1)))) #Generate a random position for the turtle to go to that keeps the ripples inside the pond area and jump to it.
	turtle.down()

def draw_drop(radius):
	'''
	Draw a single drop with radius radius, a random color, and a random ammount of ripples
	'''
	ripples = random.randint(MIN_RIPPLES, MAX_RIPPLES) #Generate a random number of ripples for the circle
	go_random(radius, ripples) #Jump to a random location
	#Go to the center
	turtle.right(90)
	turtle.up()
	turtle.forward(2 * radius) #First ripple has a radius of 2R
	turtle.down()
	turtle.left(90)
	turtle.color('black',(random.randint(0,255),random.randint(0,255),random.randint(0,255))) #Generate a random color to fill with
	turtle.begin_fill()
	turtle.circle(2 * radius) #First ripple has a radius of 2R
	turtle.end_fill()
	turtle.color('black')
	turtle.left(90)
	turtle.up()
	turtle.forward(2 * radius) #Return to center again
	turtle.right(90)
	turtle.down()
	init_radius = radius #Set initial radius
	radius = radius * 2 #Set radius to the second value so it doesn't draw a circle inside the center
	while ripples > 0:
		#Draw the drops, returns to the center each time
		turtle.right(90)
		turtle.up()
		turtle.forward(radius)
		turtle.left(90)
		turtle.down()
		turtle.circle(radius)
		turtle.left(90)
		turtle.up()
		turtle.forward(radius)
		turtle.right(90)
		turtle.down()
		radius += init_radius #Add the radius
		ripples -= 1 #Subtract a ripple

def drops_recursive(drops, total):
	'''
	Recursively draw the correct number of rain drops
	'''
	if drops > 0:
		radius = random.randint(MIN_DROP_RADIUS, MAX_DROP_RADIUS) #Generate a radius inbetween the min and max
		draw_drop(radius) #Draw a drop with radius from above
		total = total + (math.pi * (2 * radius)) #Add the circumference to the total
		drops_recursive(drops - 1, total) #Recurse
	else:
		print(total)
		return total
'''
Define constants
'''
MIN_RIPPLES = 3 #Minimum number of ripples to draw on each drop
MAX_RIPPLES = 8 #Maximum number of ripples to draw on each drop
POND_SIZE = 600 #The side length of the "pond area" that everything sits inside
MIN_DROP_RADIUS = 1 #Minimum colored center of a drop to draw
MAX_DROP_RADIUS = 20 #Maximum colored center of a drop to draw
MINIMUM_DROPS = 1 #Minimum number of drops allowed to be drawn
MAXIMUM_DROPS = 100 #Maximum number of drops allowed to be drawns

number_of_drops = int(input("Raindrops (1-100): ")) #Ask the user for the number of drops to draw
if number_of_drops > MAXIMUM_DROPS or number_of_drops < MINIMUM_DROPS: #If the drops are outside of acceptable range
	print("Raindrops must be between", MINIMUM_DROPS, "and", MAXIMUM_DROPS, "inclusive.") #Warn the user
else:
	turtle.speed(100) #Remove before flight
	turtle.colormode(255) #Allow the turtle tot take RGB values
	draw_pond(POND_SIZE) #Draw the pond
	xmin = math.floor(turtle.xcor()) #Needed to calculate acceptable positions for the drops
	ymin = math.floor(turtle.ycor()) #Needed to calculate acceptable positions for the drops
	print(drops_recursive(number_of_drops, 0)) #Run the actual program
	turtle.done() #Stop