Buggy python submission (verdict: Time Limit Exceeded):
from itertools import combinations
 
n, k = [int(item) for item in input().split()]
xy = [[int(item) for item in input().split()] for _ in range(n)]
 
xsort = sorted(xy, key=lambda x: x[0])
ysort = sorted(xy, key=lambda x: x[1])
l = [i for i in range(n)]
 
def count_points_in_rec(x0, x1, y0, y1):
    count = 0
    for x, y in xy:
        if x < x0 or x1 < x or y < y0 or y1 < y:
            continue
        count += 1
    return count

ans = 5 * 10**18
comb = []
for a, b in combinations(l, 2):
    if b - a >= k-1:
        comb.append([a, b])
for a, b in comb:
    for c, d in comb:
        if count_points_in_rec(xsort[a][0], xsort[b][0], ysort[c][1], ysort[d][1]) == k:
            ans = min(ans, (xsort[b][0]-xsort[a][0]) * (ysort[d][1]-ysort[c][1]))
print(ans)

Fixed submission:
from itertools import combinations
 
n, k = [int(item) for item in input().split()]
xy = [[int(item) for item in input().split()] for _ in range(n)]
 
xsort = sorted(xy, key=lambda x: x[0])
ysort = sorted(xy, key=lambda x: x[1])
l = [i for i in range(n)]
 
cum = [[0 for _ in range(n+1)] for _ in range(n+1)]
for i in range(n):
    for j in range(n):
        cum[i+1][j+1] = cum[i+1][j] + cum[i][j+1] - cum[i][j] + ([xsort[i][0], ysort[j][1]] in xy)

def count_points_in_rec(x0, x1, y0, y1):
    point = cum[x1+1][y1+1] - cum[x0][y1+1] - cum[x1+1][y0] + cum[x0][y0]
    return point

ans = 5 * 10**18
comb = []
for a, b in combinations(l, 2):
    if b - a >= k-1:
        comb.append([a, b])
for a, b in comb:
    for c, d in comb:
        if count_points_in_rec(a, b, c, d) == k:
            ans = min(ans, (xsort[b][0]-xsort[a][0]) * (ysort[d][1]-ysort[c][1]))
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from itertools import combinations
 
n, k = [int(item) for item in input().split()]
xy = [[int(item) for item in input().split()] for _ in range(n)]
 
xsort = sorted(xy, key=lambda x: x[0])
ysort = sorted(xy, key=lambda x: x[1])
l = [i for i in range(n)]
 
def count_points_in_rec(x0, x1, y0, y1):
    count = 0
    for x, y in xy:
        if x < x0 or x1 < x:
            continue
        elif y < y0 or y1 < y:
            continue
        count += 1
    return count

ans = 5 * 10**18
comb = []
for a, b in combinations(l, 2):
    if b - a >= k-1:
        comb.append([a, b])

for a, b in comb:
    x0 = xsort[a][0]
    x1 = xsort[b][0]
    for c, d in comb:
        y0 = ysort[c][1]
        y1 = ysort[d][1]
        if count_points_in_rec(x0, x1, y0, y1) == k:
            ans = min(ans, (x1-x0) * (y1-y0))

print(ans)

Fixed submission:
from itertools import combinations
 
n, k = [int(item) for item in input().split()]
xy = [[int(item) for item in input().split()] for _ in range(n)]
 
xsort = sorted(xy, key=lambda x: x[0])
ysort = sorted(xy, key=lambda x: x[1])
l = [i for i in range(n)]
 
cum = [[0 for _ in range(n+1)] for _ in range(n+1)]
for i in range(n):
    for j in range(n):
        cum[i+1][j+1] = cum[i+1][j] + cum[i][j+1] - cum[i][j] + ([xsort[i][0], ysort[j][1]] in xy)

def count_points_in_rec(x0, x1, y0, y1):
    point = cum[x1+1][y1+1] - cum[x0][y1+1] - cum[x1+1][y0] + cum[x0][y0]
    return point

ans = 5 * 10**18
comb = []
for a, b in combinations(l, 2):
    if b - a >= k-1:
        comb.append([a, b])
for a, b in comb:
    for c, d in comb:
        if count_points_in_rec(a, b, c, d) == k:
            ans = min(ans, (xsort[b][0]-xsort[a][0]) * (ysort[d][1]-ysort[c][1]))
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from itertools import combinations
 
n, k = [int(item) for item in input().split()]
xy = [[int(item) for item in input().split()] for _ in range(n)]
 
xsort = sorted(xy, key=lambda x: x[0])
ysort = sorted(xy, key=lambda x: x[1])
l = [i for i in range(n)]
 
def count_points_in_rec(x0, x1, y0, y1):
    count = 0
    for x, y in xy:
        if x < x0 or x1 < x:
            continue
        elif y < y0 or y1 < y:
            continue
        count += 1
    return count

ans = 5 * 10**18
for a, b in combinations(l, 2):
    if b - a < k-1:
        continue
    x0 = xsort[a][0]
    x1 = xsort[b][0]
    for c, d in combinations(l, 2):
        if d - c < k-1:
            continue
        y0 = ysort[c][1]
        y1 = ysort[d][1]
        if count_points_in_rec(x0, x1, y0, y1) == k:
            ans = min(ans, (x1-x0) * (y1-y0))

print(ans)

Fixed submission:
from itertools import combinations
 
n, k = [int(item) for item in input().split()]
xy = [[int(item) for item in input().split()] for _ in range(n)]
 
xsort = sorted(xy, key=lambda x: x[0])
ysort = sorted(xy, key=lambda x: x[1])
l = [i for i in range(n)]
 
cum = [[0 for _ in range(n+1)] for _ in range(n+1)]
for i in range(n):
    for j in range(n):
        cum[i+1][j+1] = cum[i+1][j] + cum[i][j+1] - cum[i][j] + ([xsort[i][0], ysort[j][1]] in xy)

def count_points_in_rec(x0, x1, y0, y1):
    point = cum[x1+1][y1+1] - cum[x0][y1+1] - cum[x1+1][y0] + cum[x0][y0]
    return point

ans = 5 * 10**18
comb = []
for a, b in combinations(l, 2):
    if b - a >= k-1:
        comb.append([a, b])
for a, b in comb:
    for c, d in comb:
        if count_points_in_rec(a, b, c, d) == k:
            ans = min(ans, (xsort[b][0]-xsort[a][0]) * (ysort[d][1]-ysort[c][1]))
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from numpy import cumsum
from itertools import combinations
import bisect

n, k = [int(item) for item in input().split()]
xy = [[int(item) for item in input().split()] for _ in range(n)]

xsort = sorted([xy[i][0] for i in range(n)])
ysort = sorted([xy[i][1] for i in range(n)])

l = [0] * n
cumsum_id = [[0] * n for _ in range(n)]
for i, (x, y) in enumerate(xy):
    l[i] = i
    xid = bisect.bisect_left(xsort, x)
    yid = bisect.bisect_left(ysort, y)
    cumsum_id[xid][yid] = 1
cumsum_id = cumsum(cumsum_id, axis=0)
cumsum_id = cumsum(cumsum_id, axis=1)

def count_points_in_rec(x0, x1, y0, y1):
    count = 0
    count += cumsum_id[x1][y1]
    if x0 > 0:
        count -= cumsum_id[x0-1][y1]
        if y0 > 0:
            count += cumsum_id[x0-1][y0-1]
    if y0 > 0:
        count -= cumsum_id[x1][y0-1]
    return count

ans = 5 * 10**18
for a, b in combinations(l, 2):
    if b - a < k-1:
        continue
    for c, d in combinations(l, 2):
        if d - c < k-1:
            continue
        if count_points_in_rec(a, b, c, d) == k:
            ans = min(ans, (xsort[b]-xsort[a]) * (ysort[d]-ysort[c]))
print(ans)

Fixed submission:
from itertools import combinations
 
n, k = [int(item) for item in input().split()]
xy = [[int(item) for item in input().split()] for _ in range(n)]
 
xsort = sorted(xy, key=lambda x: x[0])
ysort = sorted(xy, key=lambda x: x[1])
l = [i for i in range(n)]
 
cum = [[0 for _ in range(n+1)] for _ in range(n+1)]
for i in range(n):
    for j in range(n):
        cum[i+1][j+1] = cum[i+1][j] + cum[i][j+1] - cum[i][j] + ([xsort[i][0], ysort[j][1]] in xy)

def count_points_in_rec(x0, x1, y0, y1):
    point = cum[x1+1][y1+1] - cum[x0][y1+1] - cum[x1+1][y0] + cum[x0][y0]
    return point

ans = 5 * 10**18
comb = []
for a, b in combinations(l, 2):
    if b - a >= k-1:
        comb.append([a, b])
for a, b in comb:
    for c, d in comb:
        if count_points_in_rec(a, b, c, d) == k:
            ans = min(ans, (xsort[b][0]-xsort[a][0]) * (ysort[d][1]-ysort[c][1]))
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from numpy import cumsum
from itertools import combinations
import bisect

n, k = [int(item) for item in input().split()]
xy = [[int(item) for item in input().split()] for _ in range(n)]

xsort = sorted([xy[i][0] for i in range(n)])
ysort = sorted([xy[i][1] for i in range(n)])

xid = [0] * n
yid = [0] * n
l = [0] * n
cumsum_id = [[0] * n for _ in range(n)]
for i, (x, y) in enumerate(xy):
    l[i] = i
    xid[i] = bisect.bisect_left(xsort, x)
    yid[i] = bisect.bisect_left(ysort, y)
    cumsum_id[xid[i]][yid[i]] = 1
cumsum_id = cumsum(cumsum_id, axis=0)
cumsum_id = cumsum(cumsum_id, axis=1)

def count_points_in_rec(x0, x1, y0, y1):
    count = 0
    count += cumsum_id[x1][y1]
    if x0 > 0:
        count -= cumsum_id[x0-1][y1]
        if y0 > 0:
            count += cumsum_id[x0-1][y0-1]
    if y0 > 0:
        count -= cumsum_id[x1][y0-1]
    return count

ans = 5 * 10**18
for a, b in combinations(l, 2):
    x0 = a
    x1 = b
    for c, d in combinations(l, 2):
        y0 = c
        y1 = d
        if count_points_in_rec(x0, x1, y0, y1) >= k:
            ans = min(ans, (xsort[x1]-xsort[x0]) * (ysort[y1]-ysort[y0]))

print(ans)

Fixed submission:
from itertools import combinations
 
n, k = [int(item) for item in input().split()]
xy = [[int(item) for item in input().split()] for _ in range(n)]
 
xsort = sorted(xy, key=lambda x: x[0])
ysort = sorted(xy, key=lambda x: x[1])
l = [i for i in range(n)]
 
cum = [[0 for _ in range(n+1)] for _ in range(n+1)]
for i in range(n):
    for j in range(n):
        cum[i+1][j+1] = cum[i+1][j] + cum[i][j+1] - cum[i][j] + ([xsort[i][0], ysort[j][1]] in xy)

def count_points_in_rec(x0, x1, y0, y1):
    point = cum[x1+1][y1+1] - cum[x0][y1+1] - cum[x1+1][y0] + cum[x0][y0]
    return point

ans = 5 * 10**18
comb = []
for a, b in combinations(l, 2):
    if b - a >= k-1:
        comb.append([a, b])
for a, b in comb:
    for c, d in comb:
        if count_points_in_rec(a, b, c, d) == k:
            ans = min(ans, (xsort[b][0]-xsort[a][0]) * (ysort[d][1]-ysort[c][1]))
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from itertools import combinations

n, k = [int(item) for item in input().split()]
xy = [[int(item) for item in input().split()] for _ in range(n)]

xsort = sorted(xy, key=lambda x: x[0])
ysort = sorted(xy, key=lambda x: x[1])

def count_points_in_rec(x0, x1, y0, y1):
    count = 0
    for x, y in xy:
        if x < x0 or x1 < x:
            continue
        elif y < y0 or y1 < y:
            continue
        count += 1
    return count

ans = 5 * 10**18
for a, b in combinations(xsort, 2):
    x0 = a[0]
    x1 = b[0]
    for c, d in combinations(ysort, 2):
        y0 = c[1]
        y1 = d[1]
        if count_points_in_rec(x0, x1, y0, y1) >= k:
            ans = min(ans, (x1-x0) * (y1-y0))

print(ans)


Fixed submission:
from itertools import combinations
 
n, k = [int(item) for item in input().split()]
xy = [[int(item) for item in input().split()] for _ in range(n)]
 
xsort = sorted(xy, key=lambda x: x[0])
ysort = sorted(xy, key=lambda x: x[1])
l = [i for i in range(n)]
 
cum = [[0 for _ in range(n+1)] for _ in range(n+1)]
for i in range(n):
    for j in range(n):
        cum[i+1][j+1] = cum[i+1][j] + cum[i][j+1] - cum[i][j] + ([xsort[i][0], ysort[j][1]] in xy)

def count_points_in_rec(x0, x1, y0, y1):
    point = cum[x1+1][y1+1] - cum[x0][y1+1] - cum[x1+1][y0] + cum[x0][y0]
    return point

ans = 5 * 10**18
comb = []
for a, b in combinations(l, 2):
    if b - a >= k-1:
        comb.append([a, b])
for a, b in comb:
    for c, d in comb:
        if count_points_in_rec(a, b, c, d) == k:
            ans = min(ans, (xsort[b][0]-xsort[a][0]) * (ysort[d][1]-ysort[c][1]))
print(ans)