Buggy python submission (verdict: Time Limit Exceeded):
import heapq
def prim_heap():
    used = [True] * n #True:不使用
    edgelist = []
    for e in edge[0]:
        heapq.heappush(edgelist,e)
    used[0] = False
    res = 0
    while len(edgelist) != 0:
        minedge = heapq.heappop(edgelist)
        if not used[minedge[1]]:
            continue
        v = minedge[1]
        used[v] = False
        for e in edge[v]:
            if used[e[1]]:
                heapq.heappush(edgelist,e)
        res += minedge[0]
    return res

#########################
n = int(input())

#隣接リストの作成 edge[i]:[コスト,行先]
edge = [[] for i in range(n)]
x_sort = [] #[Xi,Yi,点番号]
y_sort = [] #[Yi,Xi,点番号]
for i in range(n):
    X,Y = map(int,input().split())
    x_sort.append([X,Y,i])
    y_sort.append([Y,X,i])
x_sort.sort()
y_sort.sort()
for i in range(1,n):
    edge[x_sort[i][2]].append([min(abs(x_sort[i][0]-x_sort[i-1][0]),abs(x_sort[i][1]-x_sort[i-1][1])),x_sort[i-1][2]])
    edge[x_sort[i-1][2]].append([min(abs(x_sort[i][0]-x_sort[i-1][0]),abs(x_sort[i][1]-x_sort[i-1][1])),x_sort[i][2]])
    edge[y_sort[i][2]].append([min(abs(y_sort[i][0]-y_sort[i-1][0]),abs(y_sort[i][1]-y_sort[i-1][1])),y_sort[i-1][2]])
    edge[y_sort[i][2]].append([min(abs(y_sort[i][0]-y_sort[i-1][0]),abs(y_sort[i][1]-y_sort[i-1][1])),y_sort[i-1][2]])
print(prim_heap())

Fixed submission:
import heapq
def prim_heap():
    used = [True] * n #True:不使用
    edgelist = []
    for e in edge[0]:
        heapq.heappush(edgelist,e)
    used[0] = False
    res = 0
    while len(edgelist) != 0:
        minedge = heapq.heappop(edgelist)
        if not used[minedge[1]]:
            continue
        v = minedge[1]
        used[v] = False
        for e in edge[v]:
            if used[e[1]]:
                heapq.heappush(edgelist,e)
        res += minedge[0]
    return res

#########################
n = int(input())

#隣接リストの作成 edge[i]:[コスト,行先]
edge = [[] for i in range(n)]
p=[]
edge=[[] for i in range(n)]
for i in range(n):
    p.append(tuple(map(int,input().split()))+tuple([i]))
x_sorted=sorted(p,key=lambda x:x[0])
y_sorted=sorted(p,key=lambda x:x[1])
for i in range(n-1):
    edge[x_sorted[i][2]].append((x_sorted[i+1][0]-x_sorted[i][0],x_sorted[i+1][2]))
    edge[x_sorted[i+1][2]].append((x_sorted[i+1][0]-x_sorted[i][0],x_sorted[i][2]))
    edge[y_sorted[i][2]].append((y_sorted[i+1][1]-y_sorted[i][1],y_sorted[i+1][2]))
    edge[y_sorted[i+1][2]].append((y_sorted[i+1][1]-y_sorted[i][1],y_sorted[i][2]))

print(prim_heap())

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
def prim_heap():
    used = [True] * n #True:不使用
    edgelist = []
    for e in edge[0]:
        heapq.heappush(edgelist,e)
    used[0] = False
    res = 0
    counter = 1
    while counter != n:
        minedge = heapq.heappop(edgelist)
        if not used[minedge[1]]:
            continue
        v = minedge[1]
        used[v] = False
        for e in edge[v]:
            if used[e[1]]:
                heapq.heappush(edgelist,e)
        res += minedge[0]
        counter += 1
    return res

#########################
n = int(input())

#隣接リストの作成 edge[i]:[コスト,行先]
edge = [[] for i in range(n)]
p = [[0,0,0] for i in range(n)]
for i in range(n):
    X,Y = map(int,input().split())
    p[i] = [X,Y,i]
x_sort=sorted(p,key=lambda x:x[0])
y_sort=sorted(p,key=lambda x:x[1])
for i in range(1,n):
    edge[x_sort[i][2]].append([min(abs(x_sort[i][0]-x_sort[i-1][0]),abs(x_sort[i][1]-x_sort[i-1][1])),x_sort[i-1][2]])
    edge[x_sort[i-1][2]].append([min(abs(x_sort[i][0]-x_sort[i-1][0]),abs(x_sort[i][1]-x_sort[i-1][1])),x_sort[i][2]])
    edge[y_sort[i][2]].append([min(abs(y_sort[i][0]-y_sort[i-1][0]),abs(y_sort[i][1]-y_sort[i-1][1])),y_sort[i-1][2]])
    edge[y_sort[i][2]].append([min(abs(y_sort[i][0]-y_sort[i-1][0]),abs(y_sort[i][1]-y_sort[i-1][1])),y_sort[i-1][2]])
print(prim_heap())

Fixed submission:
import heapq
def prim_heap():
    used = [True] * n #True:不使用
    edgelist = []
    for e in edge[0]:
        heapq.heappush(edgelist,e)
    used[0] = False
    res = 0
    while len(edgelist) != 0:
        minedge = heapq.heappop(edgelist)
        if not used[minedge[1]]:
            continue
        v = minedge[1]
        used[v] = False
        for e in edge[v]:
            if used[e[1]]:
                heapq.heappush(edgelist,e)
        res += minedge[0]
    return res

#########################
n = int(input())

#隣接リストの作成 edge[i]:[コスト,行先]
edge = [[] for i in range(n)]
p=[]
edge=[[] for i in range(n)]
for i in range(n):
    p.append(tuple(map(int,input().split()))+tuple([i]))
x_sorted=sorted(p,key=lambda x:x[0])
y_sorted=sorted(p,key=lambda x:x[1])
for i in range(n-1):
    edge[x_sorted[i][2]].append((x_sorted[i+1][0]-x_sorted[i][0],x_sorted[i+1][2]))
    edge[x_sorted[i+1][2]].append((x_sorted[i+1][0]-x_sorted[i][0],x_sorted[i][2]))
    edge[y_sorted[i][2]].append((y_sorted[i+1][1]-y_sorted[i][1],y_sorted[i+1][2]))
    edge[y_sorted[i+1][2]].append((y_sorted[i+1][1]-y_sorted[i][1],y_sorted[i][2]))

print(prim_heap())

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
def prim_heap():
    used = [True] * n #True:不使用
    edgelist = []
    for e in edge[0]:
        heapq.heappush(edgelist,e)
    used[0] = False
    res = 0
    counter = 1
    while counter != n:
        minedge = heapq.heappop(edgelist)
        if not used[minedge[1]]:
            continue
        v = minedge[1]
        used[v] = False
        for e in edge[v]:
            if used[e[1]]:
                heapq.heappush(edgelist,e)
        res += minedge[0]
        counter += 1
    return res

#########################
n = int(input())

#隣接リストの作成 edge[i]:[コスト,行先]
edge = [[] for i in range(n)]
x_sort = [] #[Xi,Yi,点番号]
y_sort = [] #[Yi,Xi,点番号]
for i in range(n):
    X,Y = map(int,input().split())
    x_sort.append([X,Y,i])
    y_sort.append([Y,X,i])
x_sort.sort()
y_sort.sort()
for i in range(1,n):
    edge[x_sort[i][2]].append([min(abs(x_sort[i][0]-x_sort[i-1][0]),abs(x_sort[i][1]-x_sort[i-1][1])),x_sort[i-1][2]])
    edge[x_sort[i-1][2]].append([min(abs(x_sort[i][0]-x_sort[i-1][0]),abs(x_sort[i][1]-x_sort[i-1][1])),x_sort[i][2]])
    edge[y_sort[i][2]].append([min(abs(y_sort[i][0]-y_sort[i-1][0]),abs(y_sort[i][1]-y_sort[i-1][1])),y_sort[i-1][2]])
    edge[y_sort[i][2]].append([min(abs(y_sort[i][0]-y_sort[i-1][0]),abs(y_sort[i][1]-y_sort[i-1][1])),y_sort[i-1][2]])
print(prim_heap())

Fixed submission:
import heapq
def prim_heap():
    used = [True] * n #True:不使用
    edgelist = []
    for e in edge[0]:
        heapq.heappush(edgelist,e)
    used[0] = False
    res = 0
    while len(edgelist) != 0:
        minedge = heapq.heappop(edgelist)
        if not used[minedge[1]]:
            continue
        v = minedge[1]
        used[v] = False
        for e in edge[v]:
            if used[e[1]]:
                heapq.heappush(edgelist,e)
        res += minedge[0]
    return res

#########################
n = int(input())

#隣接リストの作成 edge[i]:[コスト,行先]
edge = [[] for i in range(n)]
p=[]
edge=[[] for i in range(n)]
for i in range(n):
    p.append(tuple(map(int,input().split()))+tuple([i]))
x_sorted=sorted(p,key=lambda x:x[0])
y_sorted=sorted(p,key=lambda x:x[1])
for i in range(n-1):
    edge[x_sorted[i][2]].append((x_sorted[i+1][0]-x_sorted[i][0],x_sorted[i+1][2]))
    edge[x_sorted[i+1][2]].append((x_sorted[i+1][0]-x_sorted[i][0],x_sorted[i][2]))
    edge[y_sorted[i][2]].append((y_sorted[i+1][1]-y_sorted[i][1],y_sorted[i+1][2]))
    edge[y_sorted[i+1][2]].append((y_sorted[i+1][1]-y_sorted[i][1],y_sorted[i][2]))

print(prim_heap())

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
def prim_heap():
    used = [True] * n #True:不使用
    edgelist = []
    for e in edge[0]:
        heapq.heappush(edgelist,e)
    used[0] = False
    res = 0
    counter = 1
    while counter != n:
        v = -1
        while len(edgelist) != 0:
            minedge = heapq.heappop(edgelist)
            if used[minedge[1]]:
                v = minedge[1]
                break
        if v == -1:
            break
        used[v] = False
        for e in edge[v]:
            if used[e[1]]:
                heapq.heappush(edgelist,e)
        res += minedge[0]
        counter += 1
    return res

#########################
n = int(input())

#隣接リストの作成 edge[i]:[コスト,行先]
edge = [[] for i in range(n)]
x_sort = [] #[Xi,Yi,点番号]
y_sort = [] #[Yi,Xi,点番号]
for i in range(n):
    X,Y = map(int,input().split())
    x_sort.append([X,Y,i])
    y_sort.append([Y,X,i])
x_sort.sort()
y_sort.sort()
for i in range(1,n):
    edge[x_sort[i][2]].append([min(abs(x_sort[i][0]-x_sort[i-1][0]),abs(x_sort[i][1]-x_sort[i-1][1])),x_sort[i-1][2]])
    edge[x_sort[i-1][2]].append([min(abs(x_sort[i][0]-x_sort[i-1][0]),abs(x_sort[i][1]-x_sort[i-1][1])),x_sort[i][2]])
    edge[y_sort[i][2]].append([min(abs(y_sort[i][0]-y_sort[i-1][0]),abs(y_sort[i][1]-y_sort[i-1][1])),y_sort[i-1][2]])
    edge[y_sort[i][2]].append([min(abs(y_sort[i][0]-y_sort[i-1][0]),abs(y_sort[i][1]-y_sort[i-1][1])),y_sort[i-1][2]])
print(prim_heap())

Fixed submission:
import heapq
def prim_heap():
    used = [True] * n #True:不使用
    edgelist = []
    for e in edge[0]:
        heapq.heappush(edgelist,e)
    used[0] = False
    res = 0
    while len(edgelist) != 0:
        minedge = heapq.heappop(edgelist)
        if not used[minedge[1]]:
            continue
        v = minedge[1]
        used[v] = False
        for e in edge[v]:
            if used[e[1]]:
                heapq.heappush(edgelist,e)
        res += minedge[0]
    return res

#########################
n = int(input())

#隣接リストの作成 edge[i]:[コスト,行先]
edge = [[] for i in range(n)]
p=[]
edge=[[] for i in range(n)]
for i in range(n):
    p.append(tuple(map(int,input().split()))+tuple([i]))
x_sorted=sorted(p,key=lambda x:x[0])
y_sorted=sorted(p,key=lambda x:x[1])
for i in range(n-1):
    edge[x_sorted[i][2]].append((x_sorted[i+1][0]-x_sorted[i][0],x_sorted[i+1][2]))
    edge[x_sorted[i+1][2]].append((x_sorted[i+1][0]-x_sorted[i][0],x_sorted[i][2]))
    edge[y_sorted[i][2]].append((y_sorted[i+1][1]-y_sorted[i][1],y_sorted[i+1][2]))
    edge[y_sorted[i+1][2]].append((y_sorted[i+1][1]-y_sorted[i][1],y_sorted[i][2]))

print(prim_heap())