#pointsDistance.py
#randomly generate pairs of (x,y) integer points in the plane,
#calculate the distance between them. summing the distances

import random
import math

def distance_pair_points(x1,y1, x2,y2):
    return math.sqrt((x2-x1)**2+(y2-y1)**2)


range_nums = int(input("Enter the range of the points, +/-? "))
num_points = int(input("Enter the number of pairs of random points: "))
sum_dist = 0
max_distance = float('-inf')  #smallest possible number

for p in range(num_points):
    x1 = random.randint(-range_nums,range_nums)
    y1 = random.randint(-range_nums,range_nums)
    x2 = random.randint(-range_nums,range_nums)
    y2 = random.randint(-range_nums,range_nums)
    dist = distance_pair_points(x1,y1, x2,y2)
    sum_dist += dist
    print(f"({x1},{y1})<---->({x2},{y2}) is {dist}")
    if dist > max_distance:
        max_distance = dist
 
print("Sum of distances:",sum_dist,"  Largest distance:",max_distance,\
      "  Average distance:",sum_dist/num_points)