Buggy python submission (verdict: Time Limit Exceeded):
class Unionfind:

    __slots__ = ['parents','sizes']

    def __init__(self, n):
        self.parents = list(range(n))
        self.sizes = [1]*n

    def root(self, x):
        if self.parents[x] == x:
            return x
        else:
            root_x = self.root(self.parents[x])
            self.parents[x] = root_x
            return root_x

    def unite(self, x, y):
        x = self.root(x); y = self.root(y)
        if x == y:
            return
        if self.sizes[x] < self.sizes[y]:
            x, y = y, x
        self.sizes[x] += self.sizes[y]
        self.parents[y] = x

    def same(self, x, y):
        return self.root(x) == self.root(y)

    # 集合自体の数 ({1,2}, {3}, {4} : kind -> 3)
    def kind(self):
        for v in range(N):
            self.root(v)
        return len(list(set(self.parents)))

    # xが属する集合の要素の数　({1,2,3} : size(2) -> 3)
    def size(self, x):
        self.sizes[x] = self.sizes[self.root(x)]
        return self.sizes[x]

N, K, L = map(int,input().split())
road = Unionfind(N)
train = Unionfind(N)

for _ in range(K):
    p, q = map(int,input().split())
    p -= 1; q -= 1
    road.unite(p, q)

for _ in range(L):
    r, s = map(int,input().split())
    r -= 1; s -= 1
    train.unite(r, s)

ans_list = []

r = [set() for _ in range(N)]
t = [set() for _ in range(N)]
for i in range(N):
    road.parents[i] = road.root(i)
    r[road.parents[i]].add(i)
    train.parents[i] = train.root(i)
    t[train.parents[i]].add(i)

ans_list = []

for i in range(N):
    ans = len(r[road.parents[i]] & t[train.parents[i]])
    ans_list.append(ans)

print(*ans_list)

Fixed submission:
from collections import defaultdict

class Unionfind:

    __slots__ = ['parents','sizes']

    def __init__(self, n):
        self.parents = list(range(n))
        self.sizes = [1]*n

    def root(self, x):
        if self.parents[x] == x:
            return x
        else:
            root_x = self.root(self.parents[x])
            self.parents[x] = root_x
            return root_x

    def unite(self, x, y):
        x = self.root(x); y = self.root(y)
        if x == y:
            return
        if self.sizes[x] < self.sizes[y]:
            x, y = y, x
        self.sizes[x] += self.sizes[y]
        self.parents[y] = x

    def same(self, x, y):
        return self.root(x) == self.root(y)

    # 集合自体の数 ({1,2}, {3}, {4} : kind -> 3)
    def kind(self):
        for v in range(N):
            self.root(v)
        return len(list(set(self.parents)))

    # xが属する集合の要素の数　({1,2,3} : size(2) -> 3)
    def size(self, x):
        self.sizes[x] = self.sizes[self.root(x)]
        return self.sizes[x]

N, K, L = map(int,input().split())
road = Unionfind(N)
train = Unionfind(N)

for _ in range(K):
    p, q = map(int,input().split())
    p -= 1; q -= 1
    road.unite(p, q)

for _ in range(L):
    r, s = map(int,input().split())
    r -= 1; s -= 1
    train.unite(r, s)

cnt = defaultdict(int)

for i in range(N):
    key = (road.root(i), train.root(i))
    cnt[key] += 1

ans_list = []
for i in range(N):
    key = (road.root(i), train.root(i))
    ans = cnt[key]
    ans_list.append(ans)

print(*ans_list)

Buggy python submission (verdict: Time Limit Exceeded):
class Unionfind:

    __slots__ = ['parents','sizes']

    def __init__(self, n):
        self.parents = list(range(n))
        self.sizes = [1]*n

    def root(self, x):
        if self.parents[x] == x:
            return x
        else:
            root_x = self.root(self.parents[x])
            self.parents[x] = root_x
            return root_x

    def unite(self, x, y):
        x = self.root(x); y = self.root(y)
        if x == y:
            return
        if self.sizes[x] < self.sizes[y]:
            x, y = y, x
        self.sizes[x] += self.sizes[y]
        self.parents[y] = x

    def same(self, x, y):
        return self.root(x) == self.root(y)

    # 集合自体の数 ({1,2}, {3}, {4} : kind -> 3)
    def kind(self):
        for v in range(N):
            self.root(v)
        return len(list(set(self.parents)))

    # xが属する集合の要素の数　({1,2,3} : size(2) -> 3)
    def size(self, x):
        self.sizes[x] = self.sizes[self.root(x)]
        return self.sizes[x]

N, K, L = map(int,input().split())
road = Unionfind(N)
train = Unionfind(N)

for _ in range(K):
    p, q = map(int,input().split())
    p -= 1; q -= 1
    road.unite(p, q)

for _ in range(L):
    r, s = map(int,input().split())
    r -= 1; s -= 1
    train.unite(r, s)

ans_list = []

r = [set() for _ in range(N)]
t = [set() for _ in range(N)]
for i in range(N):
    r[road.root(i)].add(i)
    t[train.root(i)].add(i)

ans_list = []

for i in range(N):
    ans = len(r[road.root(i)] & t[train.root(i)])
    ans_list.append(ans)

print(*ans_list)

Fixed submission:
from collections import defaultdict

class Unionfind:

    __slots__ = ['parents','sizes']

    def __init__(self, n):
        self.parents = list(range(n))
        self.sizes = [1]*n

    def root(self, x):
        if self.parents[x] == x:
            return x
        else:
            root_x = self.root(self.parents[x])
            self.parents[x] = root_x
            return root_x

    def unite(self, x, y):
        x = self.root(x); y = self.root(y)
        if x == y:
            return
        if self.sizes[x] < self.sizes[y]:
            x, y = y, x
        self.sizes[x] += self.sizes[y]
        self.parents[y] = x

    def same(self, x, y):
        return self.root(x) == self.root(y)

    # 集合自体の数 ({1,2}, {3}, {4} : kind -> 3)
    def kind(self):
        for v in range(N):
            self.root(v)
        return len(list(set(self.parents)))

    # xが属する集合の要素の数　({1,2,3} : size(2) -> 3)
    def size(self, x):
        self.sizes[x] = self.sizes[self.root(x)]
        return self.sizes[x]

N, K, L = map(int,input().split())
road = Unionfind(N)
train = Unionfind(N)

for _ in range(K):
    p, q = map(int,input().split())
    p -= 1; q -= 1
    road.unite(p, q)

for _ in range(L):
    r, s = map(int,input().split())
    r -= 1; s -= 1
    train.unite(r, s)

cnt = defaultdict(int)

for i in range(N):
    key = (road.root(i), train.root(i))
    cnt[key] += 1

ans_list = []
for i in range(N):
    key = (road.root(i), train.root(i))
    ans = cnt[key]
    ans_list.append(ans)

print(*ans_list)

Buggy python submission (verdict: Time Limit Exceeded):
def main():

    import sys
    input = sys.stdin.readline
    from collections import defaultdict

    class Unionfind:

        __slots__ = ['parents','sizes']

        def __init__(self, n):
            self.parents = list(range(n))
            self.sizes = [1]*n

        def root(self, x):
            if self.parents[x] == x:
                return x
            else:
                root_x = self.root(self.parents[x])
                self.parents[x] = root_x
                return root_x

        def unite(self, x, y):
            x = self.root(x); y = self.root(y)
            if x == y:
                return
            if self.sizes[x] < self.sizes[y]:
                x, y = y, x
            self.sizes[x] += self.sizes[y]
            self.parents[y] = x

        def same(self, x, y):
            return self.root(x) == self.root(y)

        # 集合自体の数 ({1,2}, {3}, {4} : kind -> 3)
        def kind(self):
            for v in range(N):
                self.root(v)
            return len(list(set(self.parents)))

        # xが属する集合の要素の数　({1,2,3} : size(2) -> 3)
        def size(self, x):
            self.sizes[x] = self.sizes[self.root(x)]
            return self.sizes[x]

    N, K, L = map(int,input().split())
    road = Unionfind(N)
    train = Unionfind(N)

    for _ in range(K):
        p, q = map(int,input().split())
        p -= 1; q -= 1
        road.unite(p, q)

    for _ in range(L):
        r, s = map(int,input().split())
        r -= 1; s -= 1
        train.unite(r, s)

    ans_list = []

    r = defaultdict(set)
    t = defaultdict(set)
    for i in range(N):
        r[road.root(i)].add(i)
        t[train.root(i)].add(i)

    ans_list = []

    for i in range(N):
        ans = len(r[road.root(i)] & t[train.root(i)])
        ans_list.append(ans)

    print(*ans_list)

if __name__ == "__main__":
    main()

Fixed submission:
from collections import defaultdict

class Unionfind:

    __slots__ = ['parents','sizes']

    def __init__(self, n):
        self.parents = list(range(n))
        self.sizes = [1]*n

    def root(self, x):
        if self.parents[x] == x:
            return x
        else:
            root_x = self.root(self.parents[x])
            self.parents[x] = root_x
            return root_x

    def unite(self, x, y):
        x = self.root(x); y = self.root(y)
        if x == y:
            return
        if self.sizes[x] < self.sizes[y]:
            x, y = y, x
        self.sizes[x] += self.sizes[y]
        self.parents[y] = x

    def same(self, x, y):
        return self.root(x) == self.root(y)

    # 集合自体の数 ({1,2}, {3}, {4} : kind -> 3)
    def kind(self):
        for v in range(N):
            self.root(v)
        return len(list(set(self.parents)))

    # xが属する集合の要素の数　({1,2,3} : size(2) -> 3)
    def size(self, x):
        self.sizes[x] = self.sizes[self.root(x)]
        return self.sizes[x]

N, K, L = map(int,input().split())
road = Unionfind(N)
train = Unionfind(N)

for _ in range(K):
    p, q = map(int,input().split())
    p -= 1; q -= 1
    road.unite(p, q)

for _ in range(L):
    r, s = map(int,input().split())
    r -= 1; s -= 1
    train.unite(r, s)

cnt = defaultdict(int)

for i in range(N):
    key = (road.root(i), train.root(i))
    cnt[key] += 1

ans_list = []
for i in range(N):
    key = (road.root(i), train.root(i))
    ans = cnt[key]
    ans_list.append(ans)

print(*ans_list)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict

class Unionfind:

    __slots__ = ['parents','sizes']

    def __init__(self, n):
        self.parents = list(range(n))
        self.sizes = [1]*n

    def root(self, x):
        if self.parents[x] == x:
            return x
        else:
            root_x = self.root(self.parents[x])
            self.parents[x] = root_x
            return root_x

    def unite(self, x, y):
        x = self.root(x); y = self.root(y)
        if x == y:
            return
        if self.sizes[x] < self.sizes[y]:
            x, y = y, x
        self.sizes[x] += self.sizes[y]
        self.parents[y] = x

    def same(self, x, y):
        return self.root(x) == self.root(y)

    # 集合自体の数 ({1,2}, {3}, {4} : kind -> 3)
    def kind(self):
        for v in range(N):
            self.root(v)
        return len(list(set(self.parents)))

    # xが属する集合の要素の数　({1,2,3} : size(2) -> 3)
    def size(self, x):
        self.sizes[x] = self.sizes[self.root(x)]
        return self.sizes[x]

N, K, L = map(int,input().split())
road = Unionfind(N)
train = Unionfind(N)

for _ in range(K):
    p, q = map(int,input().split())
    p -= 1; q -= 1
    road.unite(p, q)

for _ in range(L):
    r, s = map(int,input().split())
    r -= 1; s -= 1
    train.unite(r, s)

ans_list = []

r = defaultdict(set)
for i in range(N):
    r[road.root(i)].add(i)

t = defaultdict(set)
for i in range(N):
    t[train.root(i)].add(i)

ans_list = []

for i in range(N):
    ans = len(r[road.root(i)] & t[train.root(i)])
    ans_list.append(ans)

print(*ans_list)

Fixed submission:
from collections import defaultdict

class Unionfind:

    __slots__ = ['parents','sizes']

    def __init__(self, n):
        self.parents = list(range(n))
        self.sizes = [1]*n

    def root(self, x):
        if self.parents[x] == x:
            return x
        else:
            root_x = self.root(self.parents[x])
            self.parents[x] = root_x
            return root_x

    def unite(self, x, y):
        x = self.root(x); y = self.root(y)
        if x == y:
            return
        if self.sizes[x] < self.sizes[y]:
            x, y = y, x
        self.sizes[x] += self.sizes[y]
        self.parents[y] = x

    def same(self, x, y):
        return self.root(x) == self.root(y)

    # 集合自体の数 ({1,2}, {3}, {4} : kind -> 3)
    def kind(self):
        for v in range(N):
            self.root(v)
        return len(list(set(self.parents)))

    # xが属する集合の要素の数　({1,2,3} : size(2) -> 3)
    def size(self, x):
        self.sizes[x] = self.sizes[self.root(x)]
        return self.sizes[x]

N, K, L = map(int,input().split())
road = Unionfind(N)
train = Unionfind(N)

for _ in range(K):
    p, q = map(int,input().split())
    p -= 1; q -= 1
    road.unite(p, q)

for _ in range(L):
    r, s = map(int,input().split())
    r -= 1; s -= 1
    train.unite(r, s)

cnt = defaultdict(int)

for i in range(N):
    key = (road.root(i), train.root(i))
    cnt[key] += 1

ans_list = []
for i in range(N):
    key = (road.root(i), train.root(i))
    ans = cnt[key]
    ans_list.append(ans)

print(*ans_list)

Buggy python submission (verdict: Time Limit Exceeded):
class Unionfind:

    __slots__ = ['parents','sizes']

    def __init__(self, n):
        self.parents = list(range(n))
        self.sizes = [1]*n

    def root(self, x):
        if self.parents[x] == x:
            return x
        else:
            root_x = self.root(self.parents[x])
            self.parents[x] = root_x
            return root_x

    def unite(self, x, y):
        x = self.root(x); y = self.root(y)
        if x == y:
            return
        if self.sizes[x] < self.sizes[y]:
            x, y = y, x
        self.sizes[x] += self.sizes[y]
        self.parents[y] = x

    def same(self, x, y):
        return self.root(x) == self.root(y)

    # 集合自体の数 ({1,2}, {3}, {4} : kind -> 3)
    def kind(self):
        for v in range(N):
            self.root(v)
        return len(list(set(self.parents)))

    # xが属する集合の要素の数　({1,2,3} : size(2) -> 3)
    def size(self, x):
        self.sizes[x] = self.sizes[self.root(x)]
        return self.sizes[x]

N, K, L = map(int,input().split())
road = Unionfind(N)
train = Unionfind(N)

for _ in range(K):
    p, q = map(int,input().split())
    p -= 1; q -= 1
    road.unite(p, q)

for _ in range(L):
    r, s = map(int,input().split())
    r -= 1; s -= 1
    train.unite(r, s)

ans_list = []

r = dict()
for i in range(N):
    r[i] = set()
for i in range(N):
    r[road.root(i)].add(i)

t = dict()
for i in range(N):
    t[i] = set()
for i in range(N):
    t[train.root(i)].add(i)

ans_list = []

for i in range(N):
    ans = len(r[road.root(i)] & t[train.root(i)])
    ans_list.append(ans)

print(*ans_list)

Fixed submission:
from collections import defaultdict

class Unionfind:

    __slots__ = ['parents','sizes']

    def __init__(self, n):
        self.parents = list(range(n))
        self.sizes = [1]*n

    def root(self, x):
        if self.parents[x] == x:
            return x
        else:
            root_x = self.root(self.parents[x])
            self.parents[x] = root_x
            return root_x

    def unite(self, x, y):
        x = self.root(x); y = self.root(y)
        if x == y:
            return
        if self.sizes[x] < self.sizes[y]:
            x, y = y, x
        self.sizes[x] += self.sizes[y]
        self.parents[y] = x

    def same(self, x, y):
        return self.root(x) == self.root(y)

    # 集合自体の数 ({1,2}, {3}, {4} : kind -> 3)
    def kind(self):
        for v in range(N):
            self.root(v)
        return len(list(set(self.parents)))

    # xが属する集合の要素の数　({1,2,3} : size(2) -> 3)
    def size(self, x):
        self.sizes[x] = self.sizes[self.root(x)]
        return self.sizes[x]

N, K, L = map(int,input().split())
road = Unionfind(N)
train = Unionfind(N)

for _ in range(K):
    p, q = map(int,input().split())
    p -= 1; q -= 1
    road.unite(p, q)

for _ in range(L):
    r, s = map(int,input().split())
    r -= 1; s -= 1
    train.unite(r, s)

cnt = defaultdict(int)

for i in range(N):
    key = (road.root(i), train.root(i))
    cnt[key] += 1

ans_list = []
for i in range(N):
    key = (road.root(i), train.root(i))
    ans = cnt[key]
    ans_list.append(ans)

print(*ans_list)