Closest Two Points

import math
import sys
from functools import reduce


class Point:
    def __init__(self, x, y):
        self.x = x
        self.y = y

    @classmethod
    def calculate(cls, p1, p2):
        cls.distance = math.sqrt(abs(p1.x - p2.x) ** 2 + abs(p1.y - p2.y) ** 2)
        return float(cls.distance)


number_of_points = int(input())
all_points = []
min_distance = sys.maxsize

for points in range(number_of_points):
    points_coordinates = list(map(int, input().split(" ")))
    # p = Point(points_coordinates[0], points_coordinates[1])
    all_points.append(points_coordinates)

for i in range(len(all_points)):
    for p in range(len(all_points)):
        if i == p:
            continue
        point1 = Point(all_points[i][0], all_points[i][1])
        point2 = Point(all_points[p][0], all_points[p][1])

        result = Point.calculate(point1, point2)
        if result < min_distance:
            min_distance = result
            firs_point = list(map(str, [item for item in all_points[i]]))
            second_point = list(map(str, [item for item in all_points[p]]))

print(f"{min_distance:.3f}")
print(f"({', '.join(firs_point)})")
print(f"({', '.join(second_point)})")