import random
import math
import sys

def main():
    numDarts=int(sys.argv[1])
    distance=float(sys.argv[2])
    print(montePi(numDarts,distance))

def montePi(numDarts,distance):
    if distance>=1:
        return(0)
    inCircle=0
    for I in range(numDarts):
        x=(2*(random.random()))-2
        y=random.random()
        d=math.sqrt(x**2+y**2)
        if d<=2 and d>=-2:
            inCircle=inCircle+1
    pi=inCircle/numDarts*4
    return pi

main()

def circle_intersection_area(num_darts, distance):
    if distance >= 1:
        return 0

    in_circle = 0
    width = 1-distance   # this is enough to cover half of the target

    for i in range(num_darts):
        x = random.random()*width    # random value from 0 to 1-distance
        y = random.random()*2 - 1    # random value from -1 to 1
        d = math.sqrt((x+distance)**2 + y**2)  # distance from (-distance, 0)
        if d <= 1:
            in_circle += 1

    sample_area = width * 2
    target_area = sample_area * (in_circle / num_darts)

    return target_area * 2 # double, since we were only testing half the target