Buggy python submission (verdict: Time Limit Exceeded):
def find_parent(x):
    y=parent[x]
    if y<0:
        return x
    parent[x]=find_parent(y)
    return parent[x]

def connect(a,b):
    c=find_parent(a)
    d=find_parent(b)
    if c==d:
        return
    if parent[c]<parent[d]:
        parent[c]+=parent[d]
        parent[d]=c
    else:
        parent[d]+=parent[c]
        parent[c]=d
    return

N=int(input())
X=[]
Y=[]
for i in range(N):
    x,y=map(int,input().split())
    X.append([x,i])
    Y.append([y,i])
inf=float("inf")

X.sort()
Y.sort()
edge=[]
for i in range(1,N):
    edge.append([X[i][0]-X[i-1][0],X[i-1][1],X[i][1]])
    edge.append([Y[i][0]-Y[i-1][0],Y[i-1][1],Y[i][1]])
edge.sort()
parent=[-1]*N

ans=0
for l,a,b in edge:
    if find_parent(a)==find_parent(b):
        continue
    else:
        ans+=l
        connect(a,b)

print(ans)

Fixed submission:
from heapq import heappush,heappop
n=int(input())
xy=[]
yx=[]
for i in range(n):
    x,y=map(int,input().split())
    xy.append([x,y,i])
    yx.append([y,x,i])
xy.sort()
yx.sort()
data=[[0,0] for i in range(n)]
for i in range(n):
    x,y,a=xy[i]
    data[a][0]=i
    y,x,a=yx[i]
    data[a][1]=i
ans=0
que=[[0,0]]
flag=[0]*n
count=0
while count<=n:
    l,a=heappop(que)
    if flag[a]==1:
        continue
    ans+=l
    flag[a]=1
    count+=1
    if count==n:
        break
    b,c=data[a]
    xb=xy[b][0]
    yc=yx[c][0]
    if 1<=b<=n-2:
        xd,yd,d=xy[b-1]
        xe,ye,e=xy[b+1]
        if flag[d]==0:
            heappush(que,[abs(xd-xb),d])
        if flag[e]==0:
            heappush(que,[abs(xe-xb),e])
    elif b==0:
        xe,ye,e=xy[1]
        if flag[e]==0:
            heappush(que,[abs(xb-xe),e])
    else:
        xd,yd,d=xy[n-2]
        if flag[d]==0:
            heappush(que,[abs(xb-xd),d])
    if 1<=c<=n-2:
        yg,xg,g=yx[c+1]
        yf,xf,f=yx[c-1]
        if flag[f]==0:
            heappush(que,[abs(yf-yc),f])
        if flag[g]==0:
            heappush(que,[abs(yg-yc),g])
    elif c==0:
        yg,xg,g=yx[1]
        if flag[g]==0:
            heappush(que,[abs(yg-yc),g])
    else:
        yf,xf,f=yx[n-2]
        if flag[f]==0:
            heappush(que,[abs(yf-yc),f])
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from heapq import heappop,heappush
import sys
input=sys.stdin.readline

N=int(input())
X=[]
Y=[]
for i in range(N):
    x,y=map(int,input().split())
    X.append([x,i])
    Y.append([y,i])
inf=float("inf")

X.sort()
Y.sort()
data=[[] for i in range(N)]
for i in range(1,N):
    x1,num1=X[i-1]
    x2,num2=X[i]
    data[num1].append([num2,x2-x1])
    data[num2].append([num1,x2-x1])
    y1,num1=Y[i-1]
    y2,num2=Y[i]
    data[num1].append([num2,y2-y1])
    data[num2].append([num1,y2-y1])

que=[[0,0]]
flag=[inf]*N
ans=0

while que:
    l,u=heappop(que)
    if flag[u]!=inf:
        continue
    else:
        flag[u]=l
        ans+=l
        for v,y in data[u]:
            if flag[v]!=inf:
                continue
            else:
                heappush(que,[y,v])
print(ans)

Fixed submission:
from heapq import heappush,heappop
n=int(input())
xy=[]
yx=[]
for i in range(n):
    x,y=map(int,input().split())
    xy.append([x,y,i])
    yx.append([y,x,i])
xy.sort()
yx.sort()
data=[[0,0] for i in range(n)]
for i in range(n):
    x,y,a=xy[i]
    data[a][0]=i
    y,x,a=yx[i]
    data[a][1]=i
ans=0
que=[[0,0]]
flag=[0]*n
count=0
while count<=n:
    l,a=heappop(que)
    if flag[a]==1:
        continue
    ans+=l
    flag[a]=1
    count+=1
    if count==n:
        break
    b,c=data[a]
    xb=xy[b][0]
    yc=yx[c][0]
    if 1<=b<=n-2:
        xd,yd,d=xy[b-1]
        xe,ye,e=xy[b+1]
        if flag[d]==0:
            heappush(que,[abs(xd-xb),d])
        if flag[e]==0:
            heappush(que,[abs(xe-xb),e])
    elif b==0:
        xe,ye,e=xy[1]
        if flag[e]==0:
            heappush(que,[abs(xb-xe),e])
    else:
        xd,yd,d=xy[n-2]
        if flag[d]==0:
            heappush(que,[abs(xb-xd),d])
    if 1<=c<=n-2:
        yg,xg,g=yx[c+1]
        yf,xf,f=yx[c-1]
        if flag[f]==0:
            heappush(que,[abs(yf-yc),f])
        if flag[g]==0:
            heappush(que,[abs(yg-yc),g])
    elif c==0:
        yg,xg,g=yx[1]
        if flag[g]==0:
            heappush(que,[abs(yg-yc),g])
    else:
        yf,xf,f=yx[n-2]
        if flag[f]==0:
            heappush(que,[abs(yf-yc),f])
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from heapq import heappop,heappush
import sys
input=sys.stdin.readline

N=int(input())
X=[]
Y=[]
for i in range(N):
    x,y=map(int,input().split())
    X.append([x,i])
    Y.append([y,i])
inf=float("inf")

X.sort()
Y.sort()
data=[[] for i in range(N)]
for i in range(1,N):
    x1,num1=X[i-1]
    x2,num2=X[i]
    data[num1].append([num2,x2-x1])
    data[num2].append([num1,x2-x1])
    y1,num1=Y[i-1]
    y2,num2=Y[i]
    data[num1].append([num2,y2-y1])
    data[num2].append([num1,y2-y1])

que=[[0,0]]
flag=[inf]*N
ans=0

while que:
    l,u=heappop(que)
    if flag[u]!=inf:
        continue
    else:
        flag[u]=l
        ans+=l
        for v,y in data[u]:
            if flag[v]!=inf:
                continue
            else:
                heappush(que,[y,v])
print(ans)

Fixed submission:
from heapq import heappush,heappop
n=int(input())
xy=[]
yx=[]
for i in range(n):
    x,y=map(int,input().split())
    xy.append([x,y,i])
    yx.append([y,x,i])
xy.sort()
yx.sort()
data=[[0,0] for i in range(n)]
for i in range(n):
    x,y,a=xy[i]
    data[a][0]=i
    y,x,a=yx[i]
    data[a][1]=i
ans=0
que=[[0,0]]
flag=[0]*n
count=0
while count<=n:
    l,a=heappop(que)
    if flag[a]==1:
        continue
    ans+=l
    flag[a]=1
    count+=1
    if count==n:
        break
    b,c=data[a]
    xb=xy[b][0]
    yc=yx[c][0]
    if 1<=b<=n-2:
        xd,yd,d=xy[b-1]
        xe,ye,e=xy[b+1]
        if flag[d]==0:
            heappush(que,[abs(xd-xb),d])
        if flag[e]==0:
            heappush(que,[abs(xe-xb),e])
    elif b==0:
        xe,ye,e=xy[1]
        if flag[e]==0:
            heappush(que,[abs(xb-xe),e])
    else:
        xd,yd,d=xy[n-2]
        if flag[d]==0:
            heappush(que,[abs(xb-xd),d])
    if 1<=c<=n-2:
        yg,xg,g=yx[c+1]
        yf,xf,f=yx[c-1]
        if flag[f]==0:
            heappush(que,[abs(yf-yc),f])
        if flag[g]==0:
            heappush(que,[abs(yg-yc),g])
    elif c==0:
        yg,xg,g=yx[1]
        if flag[g]==0:
            heappush(que,[abs(yg-yc),g])
    else:
        yf,xf,f=yx[n-2]
        if flag[f]==0:
            heappush(que,[abs(yf-yc),f])
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from heapq import heappop,heappush

N=int(input())
X=[]
Y=[]
for i in range(N):
    x,y=map(int,input().split())
    X.append([x,i])
    Y.append([y,i])
inf=float("inf")

X.sort()
Y.sort()
data=[[] for i in range(N)]
for i in range(1,N):
    x1,num1=X[i-1]
    x2,num2=X[i]
    data[num1].append([num2,x2-x1])
    data[num2].append([num1,x2-x1])
    y1,num1=Y[i-1]
    y2,num2=Y[i]
    data[num1].append([num2,y2-y1])
    data[num2].append([num1,y2-y1])

que=[[0,0]]
flag=[inf]*N
ans=0

while que:
    l,u=heappop(que)
    if flag[u]!=inf:
        continue
    else:
        flag[u]=l
        ans+=l
        for v,y in data[u]:
            if flag[v]!=inf:
                continue
            else:
                heappush(que,[y,v])
print(ans)

Fixed submission:
from heapq import heappush,heappop
n=int(input())
xy=[]
yx=[]
for i in range(n):
    x,y=map(int,input().split())
    xy.append([x,y,i])
    yx.append([y,x,i])
xy.sort()
yx.sort()
data=[[0,0] for i in range(n)]
for i in range(n):
    x,y,a=xy[i]
    data[a][0]=i
    y,x,a=yx[i]
    data[a][1]=i
ans=0
que=[[0,0]]
flag=[0]*n
count=0
while count<=n:
    l,a=heappop(que)
    if flag[a]==1:
        continue
    ans+=l
    flag[a]=1
    count+=1
    if count==n:
        break
    b,c=data[a]
    xb=xy[b][0]
    yc=yx[c][0]
    if 1<=b<=n-2:
        xd,yd,d=xy[b-1]
        xe,ye,e=xy[b+1]
        if flag[d]==0:
            heappush(que,[abs(xd-xb),d])
        if flag[e]==0:
            heappush(que,[abs(xe-xb),e])
    elif b==0:
        xe,ye,e=xy[1]
        if flag[e]==0:
            heappush(que,[abs(xb-xe),e])
    else:
        xd,yd,d=xy[n-2]
        if flag[d]==0:
            heappush(que,[abs(xb-xd),d])
    if 1<=c<=n-2:
        yg,xg,g=yx[c+1]
        yf,xf,f=yx[c-1]
        if flag[f]==0:
            heappush(que,[abs(yf-yc),f])
        if flag[g]==0:
            heappush(que,[abs(yg-yc),g])
    elif c==0:
        yg,xg,g=yx[1]
        if flag[g]==0:
            heappush(que,[abs(yg-yc),g])
    else:
        yf,xf,f=yx[n-2]
        if flag[f]==0:
            heappush(que,[abs(yf-yc),f])
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from heapq import heappop,heappush

N=int(input())
xy=[list(map(int,input().split()))+[i] for i in range(N)]
inf=float("inf")

yx=[]
for x,y,i in xy:
    yx.append([y,x,i])
xy.sort()
yx.sort()
data=[[] for i in range(N)]
for i in range(1,N):
    x1,y1,num1=xy[i-1]
    x2,y2,num2=xy[i]
    data[num1].append([num2,x2-x1])
    data[num2].append([num1,x2-x1])
    y1,x1,num1=yx[i-1]
    y2,x2,num2=yx[i]
    data[num1].append([num2,y2-y1])
    data[num2].append([num1,y2-y1])
que=[[0,0]]
flag=[inf]*N
while que:
    l,u=heappop(que)
    if flag[u]!=inf:
        continue
    else:
        flag[u]=l
        for v,y in data[u]:
            if flag[v]!=inf:
                continue
            else:
                heappush(que,[y,v])
print(sum(flag))

Fixed submission:
from heapq import heappush,heappop
n=int(input())
xy=[]
yx=[]
for i in range(n):
    x,y=map(int,input().split())
    xy.append([x,y,i])
    yx.append([y,x,i])
xy.sort()
yx.sort()
data=[[0,0] for i in range(n)]
for i in range(n):
    x,y,a=xy[i]
    data[a][0]=i
    y,x,a=yx[i]
    data[a][1]=i
ans=0
que=[[0,0]]
flag=[0]*n
count=0
while count<=n:
    l,a=heappop(que)
    if flag[a]==1:
        continue
    ans+=l
    flag[a]=1
    count+=1
    if count==n:
        break
    b,c=data[a]
    xb=xy[b][0]
    yc=yx[c][0]
    if 1<=b<=n-2:
        xd,yd,d=xy[b-1]
        xe,ye,e=xy[b+1]
        if flag[d]==0:
            heappush(que,[abs(xd-xb),d])
        if flag[e]==0:
            heappush(que,[abs(xe-xb),e])
    elif b==0:
        xe,ye,e=xy[1]
        if flag[e]==0:
            heappush(que,[abs(xb-xe),e])
    else:
        xd,yd,d=xy[n-2]
        if flag[d]==0:
            heappush(que,[abs(xb-xd),d])
    if 1<=c<=n-2:
        yg,xg,g=yx[c+1]
        yf,xf,f=yx[c-1]
        if flag[f]==0:
            heappush(que,[abs(yf-yc),f])
        if flag[g]==0:
            heappush(que,[abs(yg-yc),g])
    elif c==0:
        yg,xg,g=yx[1]
        if flag[g]==0:
            heappush(que,[abs(yg-yc),g])
    else:
        yf,xf,f=yx[n-2]
        if flag[f]==0:
            heappush(que,[abs(yf-yc),f])
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from heapq import heappush,heappop
n=int(input())
xy=[]
yx=[]
for i in range(n):
    x,y=map(int,input().split())
    xy.append([x,y,i])
    yx.append([y,x,i])
xy.sort()
yx.sort()
data=[[0,0] for i in range(n)]
for i in range(n):
    x,y,a=xy[i]
    data[a][0]=i
    y,x,a=yx[i]
    data[a][1]=i
ans=0
que=[[0,0]]
flag=[0]*n
count=0
while count<=n:
    l,a=heappop(que)
    if flag[a]==1:
        continue
    ans+=l
    flag[a]=1
    count+=1
    if count==n:
        break
    b,c=data[a]
    xb=xy[b][0]
    yc=yx[c][0]
    if 1<=b<=n-2:
        xd,yd,d=xy[b-1]
        xe,ye,e=xy[b+1]
        if flag[d]==0:
            heappush(que,[abs(xd-xb),d])
        if flag[e]==0:
            heappush(que,[abs(xe-xb),e])
    elif b==0:
        xe,ye,e=xy[1]
        if flag[e]==0:
            heappush(que,[abs(xb-xe),e])
    else:
        xd,yd,d=xy[n-2]
        if flag[d]==0:
            heappush(que,[abs(xb-xd),d])
    if 1<=c<=n-2:
        yg,xg,g=yx[c+1]
        yf,xf,f=yx[c-1]
        if flag[f]==0:
            heappush(que,[abs(yf-yc),f])
        if flag[g]==0:
            heappush(que,[abs(yg-yc),g])
    elif c==0:
        yg,xg,g=yx[1]
        if flag[g]==0:
            heappush(que,[abs(yg-yc),g])
    else:
        yf,xf,f=yx[n-2]
        if flag[f]==0:
            heappush(que,[abs(yf-yc),f])
print(ans)

Fixed submission:
from heapq import heappush,heappop
n=int(input())
xy=[]
yx=[]
for i in range(n):
    x,y=map(int,input().split())
    xy.append([x,y,i])
    yx.append([y,x,i])
xy.sort()
yx.sort()
data=[[0,0] for i in range(n)]
for i in range(n):
    x,y,a=xy[i]
    data[a][0]=i
    y,x,a=yx[i]
    data[a][1]=i
ans=0
que=[[0,0]]
flag=[0]*n
count=0
while count<=n:
    l,a=heappop(que)
    if flag[a]==1:
        continue
    ans+=l
    flag[a]=1
    count+=1
    if count==n:
        break
    b,c=data[a]
    xb=xy[b][0]
    yc=yx[c][0]
    if 1<=b<=n-2:
        xd,yd,d=xy[b-1]
        xe,ye,e=xy[b+1]
        if flag[d]==0:
            heappush(que,[abs(xd-xb),d])
        if flag[e]==0:
            heappush(que,[abs(xe-xb),e])
    elif b==0:
        xe,ye,e=xy[1]
        if flag[e]==0:
            heappush(que,[abs(xb-xe),e])
    else:
        xd,yd,d=xy[n-2]
        if flag[d]==0:
            heappush(que,[abs(xb-xd),d])
    if 1<=c<=n-2:
        yg,xg,g=yx[c+1]
        yf,xf,f=yx[c-1]
        if flag[f]==0:
            heappush(que,[abs(yf-yc),f])
        if flag[g]==0:
            heappush(que,[abs(yg-yc),g])
    elif c==0:
        yg,xg,g=yx[1]
        if flag[g]==0:
            heappush(que,[abs(yg-yc),g])
    else:
        yf,xf,f=yx[n-2]
        if flag[f]==0:
            heappush(que,[abs(yf-yc),f])
print(ans)