from random import choice
import matplotlib.pyplot as plt
class RandomWalk():
    def __init__(self,num_points=5000):
        self.num_points=num_points
        self.x_values=[0]
        self.y_valuse=[0]
    def fill_walk(self):
        while len(self.x_values) < self.num_points:
            x_direction = choice([1,-1])
            x_distance  = choice([0,1,2,3,4])
            x_step = x_direction * x_distance

            y_direction = choice([1, -1])
            y_distance = choice([0, 1, 2, 3, 4])
            y_step = y_direction * y_distance

            if (x_step ==0 and y_step == 0):
                continue

            next_x = self.x_values[-1]+x_step
            next_y = self.y_valuse[-1]+y_step

            self.x_values.append(next_x)
            self.y_valuse.append(next_y)
while True:
    rw=RandomWalk()
    rw.fill_walk()
    point_numbers=[i for i in range(rw.num_points)]
    plt.scatter(0,0,c='green',s=100)
    plt.scatter(rw.x_values[-1],rw.y_valuse[-1],c='red')
    plt.scatter(rw.x_values,rw.y_valuse,c=point_numbers,cmap=plt.cm.Blues,s=15)
    plt.axes().get_xaxis().set_visible(False)
    plt.axes().get_yaxis().set_visible(False)
    plt.show()
    keep_running = input("Make another walk?(y/n):")
    if keep_running == 'n':
        break