Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict
def main():
  n,k=map(int,input().split())
  xy=[list(map(int,input().split())) for _ in range(n)]
  xwl=dict((c[0],i) for i,c in enumerate(xy))
  ywl=dict((c[1],i) for i,c in enumerate(xy))
  x=list(xwl.keys())
  y=list(ywl.keys())
  x.sort()
  y.sort()
  
  xdict=dict()
  ydict=dict()
  xdict[x[0]]=[1<<xwl[x[0]],0]
  ydict[y[0]]=[1<<ywl[y[0]],0]
  size=lambda x:sum(x>>i&1 for i in range(n))
  minus=lambda x,y:(x|y)^y
  for i in range(1,n):
    xdict[x[i]]=[xdict[x[i-1]][0]|(1<<xwl[x[i]]), xdict[x[i-1]][1]|(1<<xwl[x[i-1]])]
    ydict[y[i]]=[ydict[y[i-1]][0]|(1<<ywl[y[i]]), ydict[y[i-1]][1]|(1<<ywl[y[i-1]])]
  ans=float('inf')
  diter=[(i,j) for i in range(n) for j in range(n) if i<j]
  
  for s,t in diter: 
    for u,v in diter:
      if size(minus(xdict[x[t]][0],xdict[x[s]][1])&\
                  minus(ydict[y[v]][0],ydict[y[u]][1]))>=k:
        ans=min(ans,(x[t]-x[s])*(y[v]-y[u]))
  print(ans)

if __name__=='__main__':
  main()


Fixed submission:
from collections import defaultdict
def main():
  n,k=map(int,input().split())
  xy=[list(map(int,input().split())) for _ in range(n)]
  x=[p[0] for p in xy]
  y=[p[1] for p in xy]
  x.sort()
  y.sort()
  
  s1=[[0]*n for _ in range(n)]
  s2=[[0]*n for _ in range(n)]
  s3=[[0]*n for _ in range(n)]
  s4=[[0]*n for _ in range(n)]
  for i in range(n):
    for j in range(n):
        for p in xy:
            if p[0]<=x[i] and p[1]<=y[j]:
              s1[i][j]+=1
              s2[i][j]+=(p[0]<x[i])
              s3[i][j]+=(p[1]<y[j])
              s4[i][j]+=(p[0]<x[i])*(p[1]<y[j])
  ans=float('inf')
  for s in range(n):
    for t in range(s+1,n):
      for u in range(n):
        for v in range(u+1,n):
          if s1[t][v]-s3[t][u]-s2[s][v]+s4[s][u]>=k:
            ans=min(ans,(x[t]-x[s])*(y[v]-y[u]))
  print(ans)

if __name__=='__main__':
  main()

Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict
def main():
  n,k=map(int,input().split())
  xy=[list(map(int,input().split())) for _ in range(n)]
  xwl=dict((c[0],i) for i,c in enumerate(xy))
  ywl=dict((c[1],i) for i,c in enumerate(xy))
  x=list(xwl.keys())
  y=list(ywl.keys())
  x.sort()
  y.sort()
  
  xdict=dict()
  ydict=dict()
  xdict[x[0]]=[1<<xwl[x[0]],0]
  ydict[y[0]]=[1<<ywl[y[0]],0]
  size=lambda x:sum(x>>i&1 for i in range(n))
  minus=lambda x,y:(x|y)^y
  for i in range(1,n):
    xdict[x[i]]=[xdict[x[i-1]][0]|(1<<xwl[x[i]]), xdict[x[i-1]][1]|(1<<xwl[x[i-1]])]
    ydict[y[i]]=[ydict[y[i-1]][0]|(1<<ywl[y[i]]), ydict[y[i-1]][1]|(1<<ywl[y[i-1]])]
  ans=float('inf')
  for s in range(n):
    for t in range(s+1,n):
      for u in range(n):
        for v in range(u+1,n):
          if size(minus(xdict[x[t]][0],xdict[x[s]][1])&\
                  minus(ydict[y[v]][0],ydict[y[u]][1]))>=k:
            ans=min(ans,(x[t]-x[s])*(y[v]-y[u]))
  print(ans)

if __name__=='__main__':
  main()


Fixed submission:
from collections import defaultdict
def main():
  n,k=map(int,input().split())
  xy=[list(map(int,input().split())) for _ in range(n)]
  x=[p[0] for p in xy]
  y=[p[1] for p in xy]
  x.sort()
  y.sort()
  
  s1=[[0]*n for _ in range(n)]
  s2=[[0]*n for _ in range(n)]
  s3=[[0]*n for _ in range(n)]
  s4=[[0]*n for _ in range(n)]
  for i in range(n):
    for j in range(n):
        for p in xy:
            if p[0]<=x[i] and p[1]<=y[j]:
              s1[i][j]+=1
              s2[i][j]+=(p[0]<x[i])
              s3[i][j]+=(p[1]<y[j])
              s4[i][j]+=(p[0]<x[i])*(p[1]<y[j])
  ans=float('inf')
  for s in range(n):
    for t in range(s+1,n):
      for u in range(n):
        for v in range(u+1,n):
          if s1[t][v]-s3[t][u]-s2[s][v]+s4[s][u]>=k:
            ans=min(ans,(x[t]-x[s])*(y[v]-y[u]))
  print(ans)

if __name__=='__main__':
  main()

Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict
n,k=map(int,input().split())
xy=[list(map(int,input().split())) for _ in range(n)]
xwl=dict((c[0],i) for i,c in enumerate(xy))
ywl=dict((c[1],i) for i,c in enumerate(xy))
x=list(xwl.keys())
y=list(ywl.keys())
x.sort()
y.sort()

xdict=dict()
ydict=dict()
xdict[x[0]]=[1<<xwl[x[0]],0]
ydict[y[0]]=[1<<ywl[y[0]],0]
size=lambda x:sum(x>>i&1 for i in range(n))
minus=lambda x,y:(x|y)^y
for i in range(1,n):
  xdict[x[i]]=[xdict[x[i-1]][0]|(1<<xwl[x[i]]), xdict[x[i-1]][1]|(1<<xwl[x[i-1]])]
  ydict[y[i]]=[ydict[y[i-1]][0]|(1<<ywl[y[i]]), ydict[y[i-1]][1]|(1<<ywl[y[i-1]])]

cand=[(x[t]-x[s])*(y[v]-y[u]) for s in range(n) for t in range(n) \
 for u in range(n) for v in range(n) if size(minus(xdict[x[t]][0],xdict[x[s]][1])&\
                minus(ydict[y[v]][0],ydict[y[u]][1]))>=k and s<t and u<v]

print(min(cand))


Fixed submission:
from collections import defaultdict
def main():
  n,k=map(int,input().split())
  xy=[list(map(int,input().split())) for _ in range(n)]
  x=[p[0] for p in xy]
  y=[p[1] for p in xy]
  x.sort()
  y.sort()
  
  s1=[[0]*n for _ in range(n)]
  s2=[[0]*n for _ in range(n)]
  s3=[[0]*n for _ in range(n)]
  s4=[[0]*n for _ in range(n)]
  for i in range(n):
    for j in range(n):
        for p in xy:
            if p[0]<=x[i] and p[1]<=y[j]:
              s1[i][j]+=1
              s2[i][j]+=(p[0]<x[i])
              s3[i][j]+=(p[1]<y[j])
              s4[i][j]+=(p[0]<x[i])*(p[1]<y[j])
  ans=float('inf')
  for s in range(n):
    for t in range(s+1,n):
      for u in range(n):
        for v in range(u+1,n):
          if s1[t][v]-s3[t][u]-s2[s][v]+s4[s][u]>=k:
            ans=min(ans,(x[t]-x[s])*(y[v]-y[u]))
  print(ans)

if __name__=='__main__':
  main()

Buggy python submission (verdict: Runtime Error):
from collections import defaultdict
n,k=map(int,input().split())
xy=[list(map(int,input().split())) for _ in range(n)]
xwl=dict((c[0],i) for i,c in enumerate(xy))
ywl=dict((c[1],i) for i,c in enumerate(xy))
x=list(xwl.keys())
y=list(ywl.keys())
x.sort()
y.sort()

xdict=dict()
ydict=dict()
xdict[x[0]]=[1<<xwl[x[0]],0]
ydict[y[0]]=[1<<ywl[y[0]],0]
size=lambda x:sum(x>>i&1 for i in range(n))
minus=lambda x,y:(x|y)^y
for i in range(1,n):
  xdict[x[i]]=[xdict[x[i-1]][0]|(1<<xwl[x[i]]), xdict[x[i-1]][1]|(1<<xwl[x[i-1]])]
  ydict[y[i]]=[ydict[y[i-1]][0]|(1<<ywl[y[i]]), ydict[y[i-1]][1]|(1<<ywl[y[i-1]])]

cand=[min(ans,(x[t]-x[s])*(y[v]-y[u])) for s in range(n) for t in range(n) \
 for u in range(n) for v in range(n) \
 if size(minus(xdict[x[t]][0],xdict[x[s]][1])&\
                minus(ydict[y[v]][0],ydict[y[u]][1]))>=k and s<t and u<v]

print(min(cand))


Fixed submission:
from collections import defaultdict
def main():
  n,k=map(int,input().split())
  xy=[list(map(int,input().split())) for _ in range(n)]
  x=[p[0] for p in xy]
  y=[p[1] for p in xy]
  x.sort()
  y.sort()
  
  s1=[[0]*n for _ in range(n)]
  s2=[[0]*n for _ in range(n)]
  s3=[[0]*n for _ in range(n)]
  s4=[[0]*n for _ in range(n)]
  for i in range(n):
    for j in range(n):
        for p in xy:
            if p[0]<=x[i] and p[1]<=y[j]:
              s1[i][j]+=1
              s2[i][j]+=(p[0]<x[i])
              s3[i][j]+=(p[1]<y[j])
              s4[i][j]+=(p[0]<x[i])*(p[1]<y[j])
  ans=float('inf')
  for s in range(n):
    for t in range(s+1,n):
      for u in range(n):
        for v in range(u+1,n):
          if s1[t][v]-s3[t][u]-s2[s][v]+s4[s][u]>=k:
            ans=min(ans,(x[t]-x[s])*(y[v]-y[u]))
  print(ans)

if __name__=='__main__':
  main()

Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict
n,k=map(int,input().split())
xy=[list(map(int,input().split())) for _ in range(n)]
xwl=dict((c[0],i) for i,c in enumerate(xy))
ywl=dict((c[1],i) for i,c in enumerate(xy))
x=list(xwl.keys())
y=list(ywl.keys())
x.sort()
y.sort()

xdict=dict()
ydict=dict()
xdict[x[0]]=[1<<xwl[x[0]],0]
ydict[y[0]]=[1<<ywl[y[0]],0]
size=lambda x:sum(x>>i&1 for i in range(n))
minus=lambda x,y:(x|y)^y
for i in range(1,n):
  xdict[x[i]]=[xdict[x[i-1]][0]|(1<<xwl[x[i]]), xdict[x[i-1]][1]|(1<<xwl[x[i-1]])]
  ydict[y[i]]=[ydict[y[i-1]][0]|(1<<ywl[y[i]]), ydict[y[i-1]][1]|(1<<ywl[y[i-1]])]
ans=float('inf')
for s in range(n):
  for t in range(s+1,n):
    for u in range(n):
      for v in range(u+1,n):
        if size(minus(xdict[x[t]][0],xdict[x[s]][1])&\
                minus(ydict[y[v]][0],ydict[y[u]][1]))>=k:
          ans=min(ans,(x[t]-x[s])*(y[v]-y[u]))
print(ans)

Fixed submission:
from collections import defaultdict
def main():
  n,k=map(int,input().split())
  xy=[list(map(int,input().split())) for _ in range(n)]
  x=[p[0] for p in xy]
  y=[p[1] for p in xy]
  x.sort()
  y.sort()
  
  s1=[[0]*n for _ in range(n)]
  s2=[[0]*n for _ in range(n)]
  s3=[[0]*n for _ in range(n)]
  s4=[[0]*n for _ in range(n)]
  for i in range(n):
    for j in range(n):
        for p in xy:
            if p[0]<=x[i] and p[1]<=y[j]:
              s1[i][j]+=1
              s2[i][j]+=(p[0]<x[i])
              s3[i][j]+=(p[1]<y[j])
              s4[i][j]+=(p[0]<x[i])*(p[1]<y[j])
  ans=float('inf')
  for s in range(n):
    for t in range(s+1,n):
      for u in range(n):
        for v in range(u+1,n):
          if s1[t][v]-s3[t][u]-s2[s][v]+s4[s][u]>=k:
            ans=min(ans,(x[t]-x[s])*(y[v]-y[u]))
  print(ans)

if __name__=='__main__':
  main()