Buggy python submission (verdict: Time Limit Exceeded):
from itertools import product, combinations
n, k = map(int, input().split())
dots = [list(map(int, input().split())) for _ in range(n)]

ans = float("inf")
for a, b in combinations(dots, 2):
	for c, d in combinations(dots, 2):
		upper = max(a[1], b[1], c[1], d[1])
		lower = min(a[1], b[1], c[1], d[1])
		left = min(a[0], b[0], c[0], d[0])
		right = max(a[0], b[0], c[0], d[0])

		area = (upper - lower) * (right - left)
		num = 0
		for dot in dots:
			if left <= dot[0] <= right and lower <= dot[1] <= upper:
				num += 1
		if num >= k and 0 < area < ans:
			ans = area

print(ans)

Fixed submission:
from itertools import combinations
n, k = map(int, input().split())
dots = sorted([list(map(int, input().split())) for _ in range(n)])

ans = float("inf")
for x1, x2 in combinations(range(n), 2):
	wid = dots[x2][0] - dots[x1][0]
	dots_cand = sorted(dots[x1: x2 + 1], key=lambda x: x[1])
	for y1, y2 in combinations(range(x2 + 1 - x1), 2):
		if y2 - y1 + 1 >= k:
			area = (dots_cand[y2][1] - dots_cand[y1][1]) * wid
			if area < ans:
				ans = area

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from itertools import product, combinations
n, k = map(int, input().split())
dots = [list(map(int, input().split())) for _ in range(n)]

ans = float("inf")
for a, b in combinations(dots, 2):
	for c, d in combinations(dots, 2):
		upper = max(a[1], b[1], c[1], d[1])
		lower = min(a[1], b[1], c[1], d[1])
		left = min(a[0], b[0], c[0], d[0])
		right = max(a[0], b[0], c[0], d[0])

		area = (upper - lower) * (right - left)
		num = 0
		for dot in dots:
			if left <= dot[0] <= right and lower <= dot[1] <= upper:
				num += 1
		if num >= k and 0 < area < ans:
			ans = area

print(ans)

Fixed submission:
from itertools import combinations
n, k = map(int, input().split())
dots = sorted([list(map(int, input().split())) for _ in range(n)])

ans = float("inf")
for x1, x2 in combinations(range(n), 2):
	wid = dots[x2][0] - dots[x1][0]
	dots_cand = sorted(dots[x1: x2 + 1], key=lambda x: x[1])
	for y1, y2 in combinations(range(x2 + 1 - x1), 2):
		if y2 - y1 + 1 >= k:
			area = (dots_cand[y2][1] - dots_cand[y1][1]) * wid
			if area < ans:
				ans = area

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from itertools import product
n, k = map(int, input().split())
dots = [list(map(int, input().split())) for _ in range(n)]

ans = float("inf")
for a, b, c, d in product(dots, repeat=4):
	upper = max(a[1], b[1], c[1], d[1])
	lower = min(a[1], b[1], c[1], d[1])
	left = min(a[0], b[0], c[0], d[0])
	right = max(a[0], b[0], c[0], d[0])

	area = (upper - lower) * (right - left)
	num = 0
	for dot in dots:
		if left <= dot[0] <= right and lower <= dot[1] <= upper:
			num += 1
	if num >= k and 0 < area < ans:
		ans = area

print(ans)

Fixed submission:
from itertools import combinations
n, k = map(int, input().split())
dots = sorted([list(map(int, input().split())) for _ in range(n)])

ans = float("inf")
for x1, x2 in combinations(range(n), 2):
	wid = dots[x2][0] - dots[x1][0]
	dots_cand = sorted(dots[x1: x2 + 1], key=lambda x: x[1])
	for y1, y2 in combinations(range(x2 + 1 - x1), 2):
		if y2 - y1 + 1 >= k:
			area = (dots_cand[y2][1] - dots_cand[y1][1]) * wid
			if area < ans:
				ans = area

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from itertools import product
n, k = map(int, input().split())
dots = [list(map(int, input().split())) for _ in range(n)]

ans = float("inf")
for a, b, c, d in product(dots, repeat=4):
	upper = max(a[1], b[1], c[1], d[1])
	lower = min(a[1], b[1], c[1], d[1])
	left = min(a[0], b[0], c[0], d[0])
	right = max(a[0], b[0], c[0], d[0])

	area = (upper - lower) * (right - left)
	num = 0
	for dot in dots:
		if left <= dot[0] <= right and lower <= dot[1] <= upper:
			num += 1
	if num >= k and area < ans:
		ans = area

print(ans)

Fixed submission:
from itertools import combinations
n, k = map(int, input().split())
dots = sorted([list(map(int, input().split())) for _ in range(n)])

ans = float("inf")
for x1, x2 in combinations(range(n), 2):
	wid = dots[x2][0] - dots[x1][0]
	dots_cand = sorted(dots[x1: x2 + 1], key=lambda x: x[1])
	for y1, y2 in combinations(range(x2 + 1 - x1), 2):
		if y2 - y1 + 1 >= k:
			area = (dots_cand[y2][1] - dots_cand[y1][1]) * wid
			if area < ans:
				ans = area

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from itertools import product
n, k = map(int, input().split())
dots = [list(map(int, input().split())) for _ in range(n)]

ans = float("inf")
for a, b, c, d in product(dots, repeat=4):
	upper = max(a[1], b[1], c[1], d[1])
	lower = min(a[1], b[1], c[1], d[1])
	left = min(a[0], b[0], c[0], d[0])
	right = max(a[0], b[0], c[0], d[0])

	area = (upper - lower) * (right - left)
	num = 0
	for dot in dots:
		if left <= dot[0] <= right and lower <= dot[1] <= upper:
			num += 1
	if num >= k and area < ans:
		ans = area

print(ans)

Fixed submission:
from itertools import combinations
n, k = map(int, input().split())
dots = sorted([list(map(int, input().split())) for _ in range(n)])

ans = float("inf")
for x1, x2 in combinations(range(n), 2):
	wid = dots[x2][0] - dots[x1][0]
	dots_cand = sorted(dots[x1: x2 + 1], key=lambda x: x[1])
	for y1, y2 in combinations(range(x2 + 1 - x1), 2):
		if y2 - y1 + 1 >= k:
			area = (dots_cand[y2][1] - dots_cand[y1][1]) * wid
			if area < ans:
				ans = area

print(ans)