qyliang/CodeNanoFix huggingface dataset:
Buggy code:
import sys
stdin = sys.stdin
ni = lambda: int(ns())
na = lambda: list(map(int, stdin.readline().split()))
nn = lambda: list(stdin.readline().split())
ns = lambda: stdin.readline().rstrip()
sys.setrecursionlimit(10**6)

n,k = na()
xy = []

for i in range(n):
    x,y = na()
    xy.append((x,y))

xy.sort()
ans = 1000000000000

for i in range(n):
    for j in range(i+1, n):
        x = xy[j][0] - xy[i][0]
        yy = sorted(xy[i:j+1], key=lambda x:x[1])
        for u in range(len(yy)-k+1):
            y = yy[u+k-1][1] - yy[u][1]
            ans = min(ans, y*x)
            
print(ans)

Fixed code:
import sys
stdin = sys.stdin
ni = lambda: int(ns())
na = lambda: list(map(int, stdin.readline().split()))
nn = lambda: list(stdin.readline().split())
ns = lambda: stdin.readline().rstrip()
sys.setrecursionlimit(10**6)

n,k = na()
xy = []

for i in range(n):
    x,y = na()
    xy.append((x,y))

xy.sort()
ans = 10000000000000000000000000000

for i in range(n):
    for j in range(i+1, n):
        x = xy[j][0] - xy[i][0]
        yy = sorted(xy[i:j+1], key=lambda x:x[1])
        for u in range(len(yy)-k+1):
            y = yy[u+k-1][1] - yy[u][1]
            ans = min(ans, y*x)
            
print(ans)
Buggy code:
def main():
    import sys
    input = sys.stdin.readline
    sys.setrecursionlimit(10**7)
    from collections import Counter, deque
    #from collections import defaultdict
    from itertools import combinations, permutations, accumulate, groupby
    #from itertools import product
    from bisect import bisect_left,bisect_right
    from heapq import heapify, heappop, heappush
    from math import floor, ceil
    #from operator import itemgetter

    #inf = 10**17
    #mod = 10**9 + 7

    n,k = map(int, input().split())
    xy = [list(map(int, input().split())) for _ in range(n)]
    x = sorted(xy, key=lambda a: a[0])
    y = sorted(xy, key=lambda a: a[1])

    res = 10**20
    for l in range(n):
        for r in range(l+1, n):
            for b in range(n):
                for t in range(b+1, n):
                    cnt = 0
                    for vx, vy in xy:
                        if x[l][0] <= vx <= x[r][0] and y[b][1] <= vy <= y[t][1]:
                            cnt += 1
                        if cnt >= k:
                            res = min(res, (x[r][0]-x[l][0])*(y[t][1]-y[b][1]))
                            break
    print(res)

Fixed code:
def main():
    import sys
    input = sys.stdin.readline
    sys.setrecursionlimit(10**7)
    from collections import Counter, deque
    #from collections import defaultdict
    from itertools import combinations, permutations, accumulate, groupby
    #from itertools import product
    from bisect import bisect_left,bisect_right
    from heapq import heapify, heappop, heappush
    from math import floor, ceil
    #from operator import itemgetter

    #inf = 10**17
    #mod = 10**9 + 7

    n,k = map(int, input().split())
    xy = [list(map(int, input().split())) for _ in range(n)]
    x = sorted(xy, key=lambda a: a[0])
    y = sorted(xy, key=lambda a: a[1])

    res = 10**20
    for l in range(n):
        for r in range(l+1, n):
            for b in range(n):
                for t in range(b+1, n):
                    cnt = 0
                    for vx, vy in x[l:r+1]:
                        if y[b][1] <= vy <= y[t][1]:
                            cnt += 1
                        if cnt >= k:
                            res = min(res, (x[r][0]-x[l][0])*(y[t][1]-y[b][1]))
                            break
    print(res)

if __name__ == '__main__':
    main()
Buggy code:
n,K = map(int,input().split())
X, Y = [], []
dots = []
for _ in range(n):
    x,y = map(int,input().split())
    dots.append((x,y))
    X.append(x)
    Y.append(y)
X.sort()
Y.sort()
ans = float('inf')
for i in range(n):
    for j in range(i+1, n):
        for k in range(n):
            for l in range(k+1, l):
                x1,x2 = X[i], X[j]
                y1,y2 = Y[k], Y[l]
                cnt = 0
                for dot in dots:
                    if x1<=dot[0]<=x2 and y1<=dot[1]<=y2:
                        cnt += 1
                if cnt >= K:
                    ans = min(ans, (x2-x1)*(y2-y1))
print(ans)

Fixed code:
n,K = map(int,input().split())
X, Y = [], []
dots = []
for _ in range(n):
    x,y = map(int,input().split())
    dots.append((x,y))
    X.append(x)
    Y.append(y)
X.sort()
Y.sort()
ans = float('inf')
for i in range(n):
    for j in range(i+1, n):
        for k in range(n):
            for l in range(k+1, n):
                x1,x2 = X[i], X[j]
                y1,y2 = Y[k], Y[l]
                cnt = 0
                for dot in dots:
                    if x1<=dot[0]<=x2 and y1<=dot[1]<=y2:
                        cnt += 1
                if cnt >= K:
                    ans = min(ans, (x2-x1)*(y2-y1))
print(ans)
Buggy code:
n,k=map(int,input().split())
x,y=[[0,0] for i in range(n)],[[0,0] for i in range(n)]
xy=[list(map(int,input().split())) for i in range(n)]
for i in range(n):
    x_sub,y_sub=xy[i]
    x[i][0]=x_sub
    x[i][1]=i
    y[i][0]=y_sub
    y[i][1]=i
x.sort()
y.sort()
ans=(10**18)*5
for i1 in range(n):
    i1_sub=n-i1
    for l1 in range(i1_sub,1,-1):
        for i2 in range(n):
            i2_sub=n-i2
            for l2 in range(i2_sub,1,-1):
                x_sub1=x[i1][0]
                x_sub2=x[i1+l1-1][0]
                y_sub1=y[i2][0]
                y_sub2=y[i2+l2-1][0]
                z=[0]*n
                for i in range(n):
                    if x_sub1<=xy[i][0]<=x_sub2 and y_sub1<=xy[i][1]<=y_sub2:
                        z[i]=1
                s=0
                for i in range(n):
                    s+=z[i]
                    if z[i]>=k:
                        ans=min((x_sub2-x_sub1)*(y_sub2-y_sub1),ans)
                        break
                else:
                    break
print(ans)


Fixed code:
n,k=map(int,input().split())
x,y=[[0,0] for i in range(n)],[[0,0] for i in range(n)]
xy=[list(map(int,input().split())) for i in range(n)]
for i in range(n):
    x_sub,y_sub=xy[i]
    x[i][0]=x_sub
    x[i][1]=i
    y[i][0]=y_sub
    y[i][1]=i
x.sort()
y.sort()
ans=(10**18)*5
for i1 in range(n):
    for l1 in range(n-i1,1,-1):
        for i2 in range(n):
            for l2 in range(n-i2,1,-1):
                x_sub1=x[i1][0]
                x_sub2=x[i1+l1-1][0]
                y_sub1=y[i2][0]
                y_sub2=y[i2+l2-1][0]
                z=[0]*n
                for i in range(n):
                    if x_sub1<=xy[i][0]<=x_sub2 and y_sub1<=xy[i][1]<=y_sub2:
                        z[i]=1
                if sum(z)>=k:
                    ans=min((x_sub2-x_sub1)*(y_sub2-y_sub1),ans)
                else:
                    break
print(ans)
Buggy code:
n,k = map(int,input().split())
x = []
y = []
xx = []
yy = []
for i in range(n):
    a,b = map(int,input().split())
    x.append(a)
    y.append(b)
ans = 10 ** 40
x.sort()
y.sort()
for i in range(n):
    for j in range(i+1,n):
        for l in range(n):
            for h in range(l+1,n):
                lx = x[i]
                rx = x[j]
                uy = y[h]
                dy = y[l]
                cnt = 0
                for ii in range(n):
                    if lx <= xx[ii] <= rx and dy <= yy[ii] <= uy:
                        cnt += 1
                if cnt >= k:
                    if (rx-lx) * (uy-dy) != 0:
                        ans = min(ans,(rx-lx)*(uy-dy))
print(ans)

Fixed code:
n,k = map(int,input().split())
x = []
y = []
xx = []
yy = []
for i in range(n):
    a,b = map(int,input().split())
    x.append(a)
    y.append(b)
    xx.append(a)
    yy.append(b)
ans = 10 ** 40
x.sort()
y.sort()
for i in range(n):
    for j in range(i+1,n):
        for l in range(n):
            for h in range(l+1,n):
                lx = x[i]
                rx = x[j]
                uy = y[h]
                dy = y[l]
                cnt = 0
                for ii in range(n):
                    if lx <= xx[ii] <= rx and dy <= yy[ii] <= uy:
                        cnt += 1
                if cnt >= k:
                    if (rx-lx) * (uy-dy) != 0:
                        ans = min(ans,(rx-lx)*(uy-dy))
print(ans)
Buggy code:
import itertools
N,K=map(int,input().split())
XY=[list(map(int,input().split())) for i in range(N)]
ans=float("inf")
xlist=itertools.combinations( [xy[0] for xy in XY] ,2)
ylist=itertools.combinations( [xy[1] for xy in XY] ,2)

for xv in xlist:
  for yv in ylist:
    xmax=max(xv[0],yv[1])
    xmin=min(xv[0],xv[1])
    ymax=max(yv[0],yv[1])
    ymin=min(yv[0],yv[1])

    k=0
    for xy in XY:
      x,y=xy[0],xy[1]
      if xmin<=x and x<=xmax:
        if ymin<=y and y<=ymax:
          k+=1    
    if k>=K:
      ans=min(ans,(xmax-xmin)*(ymax-ymin))
print(ans)

Fixed code:
import itertools
N,K=map(int,input().split())
XY=[list(map(int,input().split())) for i in range(N)]
ans=float("inf")

for xv in itertools.combinations( [xy[0] for xy in XY] ,2):
  for yv in itertools.combinations( [xy[1] for xy in XY] ,2):
    xmax=max(xv[0],xv[1])
    xmin=min(xv[0],xv[1])
    ymax=max(yv[0],yv[1])
    ymin=min(yv[0],yv[1])

    k=0
    for xy in XY:
      x,y=xy[0],xy[1]
      if xmin<=x and x<=xmax:
        if ymin<=y and y<=ymax:
          k+=1    
    if k>=K:
      ans=min(ans,(xmax-xmin)*(ymax-ymin))
print(ans)
Buggy code:
def main():
    N, K = map(int, input().split())
    x = [0] * N
    y = [0] * N
    for i in range(N):
        x[i], y[i] = map(int, input().split())
        
    ans = float('inf')

    for i in range(N):
        for j in range(N):
            for k in range(N):
                for l in range(N):
                    if x[i] < x[j] and y[k] < y[l]:
                        right = x[i]
                        left = x[j]
                        bottom = y[k]
                        top = y[l]

                        cnt = 0

                        for i in range(N):
                            if right <= x[i] <= left and bottom <= y[i] <= top:
                                cnt += 1

                        if cnt >= K:
                            ans = min(ans, (top - bottom) * (right - left))
    print(ans)



if __name__ == "__main__":
    main()

Fixed code:
def main():
    N, K = map(int, input().split())
    x = [0] * N
    y = [0] * N
    for i in range(N):
        x[i], y[i] = map(int, input().split())
        
    ans = float('inf')

    for i in range(N):
        for j in range(N):
            for k in range(N):
                for l in range(N):
                    if x[i] < x[j] and y[k] < y[l]:
                        right = x[j]
                        left = x[i]
                        bottom = y[k]
                        top = y[l]

                        cnt = 0

                        for n in range(N):
                            if left <= x[n] <= right and bottom <= y[n] <= top:
                                cnt += 1

                        if cnt >= K:
                            ans = min(ans, (top - bottom) * (right - left))
    print(ans)



if __name__ == "__main__":
    main()
Buggy code:
import itertools
n,k=map(int,input().split())
l=[]
for i in range(n):
    l.append(list(map(int,input().split())))
c=itertools.combinations(range(n),2)
d=itertools.combinations(range(n),2)
ans=10**10
for i0 in range(n):
    for i1 in range(n):
        for j0 in range(n):
            for j1 in range(n):
                i=[i0,i1]
                j=[j0,j1]
                #print(i,j)
                lx=min(l[i[0]][0],l[i[1]][0])
                rx=max(l[i[0]][0],l[i[1]][0])
                dy=min(l[j[0]][1],l[j[1]][1])
                uy=max(l[j[0]][1],l[j[1]][1])
                tk=0
                for p in l:
                    if lx<=p[0]<=rx and dy<=p[1]<=uy:
                        tk+=1
                if tk>=k:
                    ans=min(ans,(uy-dy)*(rx-lx))
print(ans)


Fixed code:
import itertools
n,k=map(int,input().split())
l=[]
for i in range(n):
    l.append(list(map(int,input().split())))
c=itertools.combinations(range(n),2)
d=itertools.combinations(range(n),2)
ans=10**25
for i0 in range(n):
    for i1 in range(i0,n):
        for j0 in range(n):
            for j1 in range(j0,n):
                i=[i0,i1]
                j=[j0,j1]
                #print(i,j)
                lx=min(l[i[0]][0],l[i[1]][0])
                rx=max(l[i[0]][0],l[i[1]][0])
                dy=min(l[j[0]][1],l[j[1]][1])
                uy=max(l[j[0]][1],l[j[1]][1])
                tk=0
                for p in l:
                    if lx<=p[0]<=rx and dy<=p[1]<=uy:
                        tk+=1
                if tk>=k:
                    ans=min(ans,(uy-dy)*(rx-lx))
print(ans)
Buggy code:
N,K=map(int,input().split())
xy=[list(map(int,input().split())) for _ in range(N)]

N=50
K=25
xy=[[i,i] for i in range(50)]


X=sorted([i[0] for i in xy])
Y=sorted([i[1] for i in xy])

ans=[]
for i in range(N-1):
  lx=X[i]
  for j in range(i+1,N):
    rx=X[j]
    for k in range(N-1):
      dy=Y[k]
      for l in range(k+1,N):
        uy=Y[l]
        cnt=0
        for x,y in xy:
          if lx<=x and x<=rx and dy<=y and y<=uy:
            cnt+=1
        if cnt>=K:
          ans.append((rx-lx)*(uy-dy))
          
          
print(min(ans))

Fixed code:
N,K=map(int,input().split())
xy=[list(map(int,input().split())) for _ in range(N)]

X=sorted([i[0] for i in xy])
Y=sorted([i[1] for i in xy])

ans=[]
for i in range(N-1):
  lx=X[i]
  for j in range(i+1,N):
    rx=X[j]
    for k in range(N-1):
      dy=Y[k]
      for l in range(k+1,N):
        uy=Y[l]
        cnt=0
        for x,y in xy:
          if lx<=x and x<=rx and dy<=y and y<=uy:
            cnt+=1
        if cnt>=K:
          ans.append((rx-lx)*(uy-dy))
          
          
print(min(ans))
Buggy code:
import sys
input = sys.stdin.readline
def inputs():return [int(x) for x in input().split()]
N,K = inputs()
xy = [inputs() for _ in range(N)]
#xy = sorted(xy,key=lambda x: x[1])
xy = sorted(xy,key=lambda x: x[0])
#print(xy)
ans = 10**20
for i in range(N-K):
  for j in range(i+K-1,N):
    #print(i,j)
    xy1 = xy[i:j+1]
    #print(xy1)
    xy1 = sorted(xy1,key=lambda x: x[1])
    ans = min(ans,(xy[j][0]-xy[i][0])*(xy1[K-1][1]-xy1[0][1]))
print(ans)
    
    

Fixed code:
import sys
input = sys.stdin.readline
def inputs():return [int(x) for x in input().split()]
N,K = inputs()
xy = [inputs() for _ in range(N)]
#xy = sorted(xy,key=lambda x: x[1])
xy = sorted(xy,key=lambda x: x[0])
#print(xy)
ans = 10**20
for i in range(N-K+1):
  for j in range(i+K-1,N):
    #print(i,j)
    xy1 = xy[i:j+1]
    #print(xy1)
    xy1 = sorted(xy1,key=lambda x: x[1])
    mi = min(xy1[i+K-1][1]-xy1[i][1] for i in range(len(xy1)-K+1))
    ans = min(ans,(xy[j][0]-xy[i][0])*mi)
print(ans)
Buggy code:
n, k = map(int, input().split())
x_list = [0]*n
y_list = [0]*n
for i in range(n):
    x_list[i], y_list[i] = map(int, input().split())

x_element = sorted(set(x_list))
y_element = sorted(set(y_list))
ans = float("inf")

for i in range(len(x_element)):
    for j in range(len(y_element)):
        for k in range(i+1, len(x_element)):
            for l in range(j+1, len(y_element)):
                num = 0
                for m in range(n):
                    if x_element[i] <= x_list[m] <= x_element[k] and y_element[j] <= y_list[m] <= y_element[l]:
                        num += 1
                if num >= k:
                    ans = min((x_element[k] - x_element[i]) * (y_element[l] - y_element[j]), ans)

print(ans)

Fixed code:
N, K = map(int, input().split())
x_list = [0]*N
y_list = [0]*N
for i in range(N):
    x_list[i], y_list[i] = map(int, input().split())

x_element = sorted(set(x_list))
y_element = sorted(set(y_list))
ans = float("inf")

for i in range(len(x_element)):
    for j in range(len(y_element)):
        for k in range(i+1, len(x_element)):
            for l in range(j+1, len(y_element)):
                num = 0
                for m in range(N):
                    if x_element[i] <= x_list[m] <= x_element[k] and y_element[j] <= y_list[m] <= y_element[l]:
                        num += 1
                if num >= K:
                    ans = min((x_element[k] - x_element[i]) * (y_element[l] - y_element[j]), ans)

print(ans)
Buggy code:
n,k=map(int,input().split())
P=[list(map(int,input().split())) for _ in range(n)]
X=sorted(list(map(lambda x:x[0],P)))
Y=sorted(list(map(lambda x:x[1],P)))
s=(X[0]-X[-1])*(Y[0]-Y[-1])
ans=0
for r in range(1,n):
  for l in range(r):
    if c<k:
      break
    for u in range(1,n):
      for b in range(u):
        c=0
        for p in P:
          if X[l]<=p[0]<=X[r] and Y[b]<=p[1]<=Y[u]:
            c+=1
        if c>=k:
          s=min(s,(X[r]-X[l])*(Y[u]-Y[b]))
        else:break
print(s)

Fixed code:
n,k=map(int,input().split())
P=[list(map(int,input().split())) for _ in range(n)]
X=sorted(list(map(lambda x:x[0],P)))
Y=sorted(list(map(lambda x:x[1],P)))
s=(X[0]-X[-1])*(Y[0]-Y[-1])
ans=0
for r in range(n-1,0,-1):
  for l in range(r):
    for u in range(n-1,0,-1):
      for b in range(u):
        c=0
        for p in P:
          if X[l]<=p[0]<=X[r] and Y[b]<=p[1]<=Y[u]:
            c+=1
        if c>=k:
          s=min(s,(X[r]-X[l])*(Y[u]-Y[b]))
        else:break
    if u==n-1 and b==0 and c<k:
      break
print(s)
Buggy code:
def main():

    N, K = map(int, input().split())
    p = []
    for _ in range(N):
        x, y = map(int, input().split())
        p.append([x, y])
    p.sort(key = lambda x: x[0])

    min_area = float('inf')
    for i in range(N-1):
        for j in range(i+1, N):
            if j-i+1 >= K:
                x1 = p[i][0]
                x2 = p[j][0]
                ys = []
                for k in range(i, j+1):
                    ys.append(p[k][1])
                ys.sort()
                for k in range(len(ys)):
                    for l in range(k+K-1, len(ys)):
                        y1 = ys[k]
                        y2 = ys[l]
                        area = (x2-x1)*(y2-y1)
                        if area > 0:
                            min_area = min(min_area, area)
    return min_area

Fixed code:
def main():

    N, K = map(int, input().split())
    p = []
    for _ in range(N):
        x, y = map(int, input().split())
        p.append([x, y])
    p.sort(key = lambda x: x[0])

    min_area = float('inf')
    for i in range(N-1):
        for j in range(i+1, N):
            if j-i+1 >= K:
                x1 = p[i][0]
                x2 = p[j][0]
                ys = []
                for k in range(i, j+1):
                    ys.append(p[k][1])
                ys.sort()
                for k in range(len(ys)):
                    for l in range(k+K-1, len(ys)):
                        y1 = ys[k]
                        y2 = ys[l]
                        area = (x2-x1)*(y2-y1)
                        if area > 0:
                            min_area = min(min_area, area)
    return min_area

if __name__ == '__main__':
    print(main())
Buggy code:
N, K = map(int, input().split())
xy = [[int(i) for i in input().split()] for _ in range(N)]

m = float('inf')
for i in range(N) :
    for j in range(i + 1, N) :
        for k in range(j + 1, N) :
            x, y = zip(xy[i], xy[j], xy[k])
            mx, Mx = min(x), max(x)
            my, My = min(y), max(y)
            
            counter = 0
            for l in range(N) :
                if mx <= xy[l][0] <= Mx and my <= xy[l][1] <= My :
                    counter += 1
            if counter >= K :
                m = min(m, (Mx-mx)*(My-my))
print(m)

Fixed code:
N, K = map(int, input().split())
xy = [[int(i) for i in input().split()] for _ in range(N)]

ret = float('inf')
for i in range(N) :
    for j in range(i, N) :
        for k in range(j, N) :
            for l in range(k, N) :
                x, y = zip(xy[i], xy[j], xy[k], xy[l])
                mx, Mx = min(x), max(x)
                my, My = min(y), max(y)
                
                counter = 0
                for m in range(N) :
                    if mx <= xy[m][0] <= Mx and my <= xy[m][1] <= My :
                        counter += 1
                if counter >= K :
                    ret = min(ret, (Mx-mx)*(My-my))
print(ret)
Buggy code:
def main():
    N, K = map(int, input().split())
    XY = [tuple(map(int, input().split())) for _ in range(N)]
    XY.sort()
    XY = tuple(XY)

    def count(x_min, x_max, y_min, y_max, i, j):
        OK = 0
        # NG = 0
        a = j - i + 1 - K
        for m in XY[i:j + 1]:
            if y_min <= m[1] <= y_max:
                OK += 1
        if OK >= K:
            return True
        return False

    ans = 10 ** 20
    for i, val in enumerate(A[:N - 1]):
        a = val[0]
        for j in range(i + K - 1, N):
            b = XY[j][0]
            e = b - a
            for k in range(N):
                c = XY[k][1]
                for l in range(N):
                    d = XY[l][1]
                    if c < d:
                        if count(a, b, c, d, i, j):
                            # print ('A')
                            ans = min(ans, e * (d - c))
    print (ans)
    return

if __name__ == '__main__':
    main()


Fixed code:
def main():
    N, K = map(int, input().split())
    XY = [tuple(map(int, input().split())) for _ in range(N)]
    XY.sort()
    XY = tuple(XY)

    def count(x_min, x_max, y_min, y_max, i, j):
        OK = 0
        # NG = 0
        for m, n in XY[i:j + 1]:
            if y_min <= n <= y_max:
                OK += 1
        if OK >= K:
            return True
        return False

    ans = 10 ** 20
    for i, val_i in enumerate(XY[:N - 1]):
        a = val_i[0]
        for j in range(i + K - 1, N):
            b = XY[j][0]
            e = b - a
            # print (e, i, j)
            for k, c in XY:
                # c = k[1]
                for l, d in XY:
                    # d = l[1]
                    if c < d:
                        if  e * (d - c) < ans and count(a, b, c, d, i, j):
                            # print ('A')
                            ans = e * (d - c)
                            # ans = min(ans, e * (d - c))
    print (ans)
    return

if __name__ == '__main__':
    main()
Buggy code:
def main():
    N,K = map(int,input().split())
    XY = [list(map(int,input().split())) for _ in [0]*N]
    iX = [0]*N
    iY = [0]*N
    for i,xy in enumerate(XY):
        x,y = xy
        iX[i] = x
        iY[i] = y
    iX.sort()
    iY.sort()
    X = {x:i for i,x in enumerate(iX)}
    Y = {y:i for i,y in enumerate(iY)}

    c = [[0]*(N+1) for i in [0]*(N+1)]
    for x,y in XY:
        c[Y[y]+1][X[x]+1] = 1

    for i in range(N):
        ci1 = c[i+1]
        for j,ci1j in enumerate(ci1[:-1]):
            ci1[j+1] += ci1j
    for i in range(N):
        ci1 = c[i+1]
        ci = c[i]
        for j,cij in enumerate(ci[1:],1):
            ci1[j] += cij

    ans = 10**20
    for u in range(N):
        for d in range(u+K-1,N):
            l = 0
            r = K-1
            dY = iY[d]-iY[u]
            cd = c[d+1]
            cu = c[u]
            while r<N:
                if cd[r+1]+cu[l]-cu[r+1]-cd[l] >=K:
                    ans = min(ans, (iX[r] - iX[l])*dY)
                    l+=1
                else:r+=1

    print(ans)
main()

Fixed code:
def main():
    N,K = map(int,input().split())
    XY = [list(map(int,input().split())) for _ in [0]*N]
    iX = [0]*N
    iY = [0]*N
    for i,xy in enumerate(XY):
        x,y = xy
        iX[i] = x
        iY[i] = y
    iX.sort()
    iY.sort()
    X = {x:i for i,x in enumerate(iX)}
    Y = {y:i for i,y in enumerate(iY)}

    c = [[0]*(N+1) for i in [0]*(N+1)]
    for x,y in XY:
        c[Y[y]+1][X[x]+1] = 1

    for i in range(N):
        ci1 = c[i+1]
        for j in range(N):
            ci1[j+1] += ci1[j]
    for i in range(N):
        c[i+1] = [ci1j+cij for ci1j,cij in zip(c[i+1],c[i])]

    ans = 10**20
    for u in range(N):
        for d in range(u+K-1,N):
            l = 0
            r = K-1
            dY = iY[d]-iY[u]
            cd = c[d+1]
            cu = c[u]
            while r<N:
                if cd[r+1]+cu[l]-cu[r+1]-cd[l] >=K:
                    ans = min(ans, (iX[r] - iX[l])*dY)
                    l+=1
                else:r+=1

    print(ans)
main()