Buggy python submission (verdict: Runtime Error):
from copy import deepcopy as copy
from operator import itemgetter

class UnionFind:
    def __init__(self, n):
        self.n = n
        self.par = [-1]*(n+1)#それぞれの要素がどの要素の子であるか

    def find(self, x):
        if self.par[x] < 0:
            return x
        else:
            self.par[x] = self.find(self.par[x])
            return self.par[x]#それぞれの要素の根を再帰的に求める

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)
        if x == y:
            return
        if self.par[x] > self.par[y]:
            x, y = y, x
        
        self.par[x] += self.par[y]
        self.par[y] = x

    def same(self, x, y):
        return self.find(x) == self.find(y)#x,yが同じ集合に属するかどうか
    
    def size(self, x):
        return -self.par[self.find(x)]
    
    def members(self, x):
        root = self.find(x)
        return [i for i in range(self.n) if root == self.find(i)]        

def main():
    n = int(input())
    bridge = [None]*n
    for i in range(n):
        bridge[i] = [int(x) for x in input().split()]+[i]

    judge = []

    bridge.sort()
    heapq.heapify(judge)
    for i in range(n-1):
        judge.append((bridge[i+1][0]-bridge[i][0], bridge[i][2], bridge[i+1][2]))

    bridge.sort(key=itemgetter(1))
    for i in range(n-1):
        judge.append((bridge[i+1][1]-bridge[i][1], bridge[i][2], bridge[i+1][2]))
    
    judge.sort()
    union = UnionFind(n)
    count = 0
    cost = 0
    while True:
        c, i, j = heapq.heappop(judge)
        if union.same(i, j):
            continue
        union.union(i, j)
        cost += c
        count += 1
        if count == n-1:
            break
    
    print(cost)

if __name__ == "__main__":
    main()

Fixed submission:
from copy import deepcopy as copy
from operator import itemgetter

class UnionFind:
    def __init__(self, n):
        self.n = n
        self.par = [-1]*(n+1)#それぞれの要素がどの要素の子であるか

    def find(self, x):
        if self.par[x] < 0:
            return x
        else:
            self.par[x] = self.find(self.par[x])
            return self.par[x]#それぞれの要素の根を再帰的に求める

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)
        if x == y:
            return
        if self.par[x] > self.par[y]:
            x, y = y, x
        
        self.par[x] += self.par[y]
        self.par[y] = x

    def same(self, x, y):
        return self.find(x) == self.find(y)#x,yが同じ集合に属するかどうか
    
    def size(self, x):
        return -self.par[self.find(x)]
    
    def members(self, x):
        root = self.find(x)
        return [i for i in range(self.n) if root == self.find(i)]        

def main():
    n = int(input())
    bridge = [None]*n
    for i in range(n):
        bridge[i] = [int(x) for x in input().split()]+[i]

    judge = []

    bridge.sort()
    for i in range(n-1):
        judge.append((bridge[i+1][0]-bridge[i][0], bridge[i][2], bridge[i+1][2]))

    bridge.sort(key=itemgetter(1))
    for i in range(n-1):
        judge.append((bridge[i+1][1]-bridge[i][1], bridge[i][2], bridge[i+1][2]))
    
    judge.sort()
    union = UnionFind(n)
    count = 0
    cost = 0
    for k in range(2*n):
        c, i, j = judge[k]
        if union.same(i, j):
            continue
        union.union(i, j)
        cost += c
        count += 1
        if count == n-1:
            break
    
    print(cost)

if __name__ == "__main__":
    main()