Buggy python submission (verdict: Runtime Error):
import copy
N, M = [int(_) for _ in input().split()]
AB = [[int(_) - 1 for _ in input().split()] for _ in range(M)]

G = [set() for _ in range(N)]
a = set()
for ab in AB:
    G[ab[0]].add(ab[1])


def find(a, x):
    stack = []
    while a[x] != x:
        stack += [x]
        x = a[x]
    while stack:
        a[stack.pop()] = x
    return x


def unite(a, x, y):
    x = find(a, x)
    y = find(a, y)
    a[x] = a[y] = min(x, y)


ans = 0
for i in range(N - 1):
    for j in range(i + 1, N):
        if j in G[i]:
            Gn = copy.deepcopy(G)
            Gn[i].discard(j)
            a = [i for i in range(N)]
            for k in range(N - 1):
                for l in Gn[k]:
                    unite(a, k, l)
            par = set()
            for k in range(N):
                par.add(find(a, k))
            if len(par) > 1:
                ans += 1
print(ans)


Fixed submission:
class UFT():
    def __init__(self):
        self.par = {}
        self.rank = {}

    def find(self, x):
        if self.par.get(x, x) == x:
            return x
        else:
            self.par[x] = self.find(self.par[x])
            return self.par[x]

    def unite(self, x, y):
        x = self.find(x)
        y = self.find(y)
        if x == y:
            return

        self.rank[x] = self.rank.get(x, 0)
        self.rank[y] = self.rank.get(y, 0)

        if self.rank[x] < self.rank[y]:
            self.par[x] = y
        else:
            self.par[y] = x
            if self.rank[x] == self.rank[y]:
                self.rank[x] += 1

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

N, K, L = [int(_) for _ in input().split()]

Road = UFT()
for _ in range(K):
    p, q = [int(_) for _ in input().split()]
    Road.unite(p, q)
Railway = UFT()
for _ in range(L):
    r, s = [int(_) for _ in input().split()]
    Railway.unite(r, s)
memo = {}
for i in range(1, N + 1):
    memo[Road.find(i), Railway.find(i)] = memo.get((Road.find(i), Railway.find(i)), 0) + 1
print(' '.join(str(memo[Road.find(i), Railway.find(i)]) for i in range(1, N + 1)))

Buggy python submission (verdict: Runtime Error):
N, K, L = [int(_) for _ in input().split()]


def find(a, x):
    stack = []
    while a[x] != x:
        x = a[x]
        stack += [x]
    while stack:
        a[stack.pop()] = x
    return x


def unite(a, x, y):
    x = find(a, x)
    y = find(a, y)
    a[x] = a[y] = min(x, y)


a_road = [i for i in range(N)]
for _ in range(K):
    p, q = [int(_) - 1 for _ in input().split()]
    unite(a_road, p, q)
a_railway = [i for i in range(N)]
for _ in range(L):
    r, s = [int(_) - 1 for _ in input().split()]
    unite(a_railway, r, s)
memo = {}
for i in range(N):
    memo[a_road[i], a_railway[i]] = memo.get(
        (find(a_road, i), find(a_railway, i)), 0) + 1

print(' '.join(str(memo[a_road[i], a_railway[i]]) for i in range(N)))


Fixed submission:
class UFT():
    def __init__(self):
        self.par = {}
        self.rank = {}

    def find(self, x):
        if self.par.get(x, x) == x:
            return x
        else:
            self.par[x] = self.find(self.par[x])
            return self.par[x]

    def unite(self, x, y):
        x = self.find(x)
        y = self.find(y)
        if x == y:
            return

        self.rank[x] = self.rank.get(x, 0)
        self.rank[y] = self.rank.get(y, 0)

        if self.rank[x] < self.rank[y]:
            self.par[x] = y
        else:
            self.par[y] = x
            if self.rank[x] == self.rank[y]:
                self.rank[x] += 1

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

N, K, L = [int(_) for _ in input().split()]

Road = UFT()
for _ in range(K):
    p, q = [int(_) for _ in input().split()]
    Road.unite(p, q)
Railway = UFT()
for _ in range(L):
    r, s = [int(_) for _ in input().split()]
    Railway.unite(r, s)
memo = {}
for i in range(1, N + 1):
    memo[Road.find(i), Railway.find(i)] = memo.get((Road.find(i), Railway.find(i)), 0) + 1
print(' '.join(str(memo[Road.find(i), Railway.find(i)]) for i in range(1, N + 1)))

Buggy python submission (verdict: Runtime Error):
N, K, L = [int(_) for _ in input().split()]


def find(a, x):
    stack = []
    while a[x] != x:
        x = a[x]
        stack += [x]
    while stack:
        a[stack.pop()] = x
    return x


def unite(a, x, y):
    x = find(a, x)
    y = find(a, y)
    a[x] = a[y] = min(x, y)


a_road = [i for i in range(N)]
for _ in range(K):
    p, q = [int(_) - 1 for _ in input().split()]
    unite(a_road, p, q)
a_railway = [i for i in range(N)]
for _ in range(L):
    r, s = [int(_) - 1 for _ in input().split()]
    unite(a_railway, r, s)
memo = {}
for i in range(N):
    memo[a_road[i], a_railway[i]] = memo.get(
        (find(a_road, i), find(a_railway, i)), 0) + 1

print(' '.join(str(memo[a_road[i], a_railway[i]]) for i in range(N)))


Fixed submission:
class UFT():
    def __init__(self):
        self.par = {}
        self.rank = {}

    def find(self, x):
        if self.par.get(x, x) == x:
            return x
        else:
            self.par[x] = self.find(self.par[x])
            return self.par[x]

    def unite(self, x, y):
        x = self.find(x)
        y = self.find(y)
        if x == y:
            return

        self.rank[x] = self.rank.get(x, 0)
        self.rank[y] = self.rank.get(y, 0)

        if self.rank[x] < self.rank[y]:
            self.par[x] = y
        else:
            self.par[y] = x
            if self.rank[x] == self.rank[y]:
                self.rank[x] += 1

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

N, K, L = [int(_) for _ in input().split()]

Road = UFT()
for _ in range(K):
    p, q = [int(_) for _ in input().split()]
    Road.unite(p, q)
Railway = UFT()
for _ in range(L):
    r, s = [int(_) for _ in input().split()]
    Railway.unite(r, s)
memo = {}
for i in range(1, N + 1):
    memo[Road.find(i), Railway.find(i)] = memo.get((Road.find(i), Railway.find(i)), 0) + 1
print(' '.join(str(memo[Road.find(i), Railway.find(i)]) for i in range(1, N + 1)))

Buggy python submission (verdict: Time Limit Exceeded):
N, K, L = [int(_) for _ in input().split()]


class UFT():
    def __init__(self):
        self.par = [i for i in range(N + 1)]
        self.rank = [0] * (N + 1)

    def find(self, x):
        if self.par[x] == x:
            return x
        else:
            self.par[x] = self.find(self.par[x])
            return self.par[x]

    def unite(self, x, y):
        x = self.find(x)
        y = self.find(y)
        if x == y:
            return

        if self.rank[x] < self.rank[y]:
            self.par[x] = y
        else:
            self.par[y] = x
            if self.rank[x] == self.rank[y]:
                self.rank[x] += 1

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


Road = UFT()
for _ in range(K):
    p, q = [int(_) for _ in input().split()]
    Road.unite(p, q)
Railway = UFT()
for _ in range(L):
    r, s = [int(_) for _ in input().split()]
    Railway.unite(r, s)
memo = [[0] * (N + 1) for _ in range(N + 1)]
for i in range(1, N + 1):
    memo[Road.find(i)][Railway.find(i)] += 1
print(' '.join(str(memo[Road.find(i)][Railway.find(i)])
               for i in range(1, N + 1)))


Fixed submission:
class UFT():
    def __init__(self):
        self.par = {}
        self.rank = {}

    def find(self, x):
        if self.par.get(x, x) == x:
            return x
        else:
            self.par[x] = self.find(self.par[x])
            return self.par[x]

    def unite(self, x, y):
        x = self.find(x)
        y = self.find(y)
        if x == y:
            return

        self.rank[x] = self.rank.get(x, 0)
        self.rank[y] = self.rank.get(y, 0)

        if self.rank[x] < self.rank[y]:
            self.par[x] = y
        else:
            self.par[y] = x
            if self.rank[x] == self.rank[y]:
                self.rank[x] += 1

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

N, K, L = [int(_) for _ in input().split()]

Road = UFT()
for _ in range(K):
    p, q = [int(_) for _ in input().split()]
    Road.unite(p, q)
Railway = UFT()
for _ in range(L):
    r, s = [int(_) for _ in input().split()]
    Railway.unite(r, s)
memo = {}
for i in range(1, N + 1):
    memo[Road.find(i), Railway.find(i)] = memo.get((Road.find(i), Railway.find(i)), 0) + 1
print(' '.join(str(memo[Road.find(i), Railway.find(i)]) for i in range(1, N + 1)))

Buggy python submission (verdict: Time Limit Exceeded):
N, K, L = [int(_) for _ in input().split()]
memo = [[i, i] for i in range(N + 1)]

for _ in range(K):
    p, q = [int(_) for _ in input().split()]
    memo[p][0] = min(memo[p][0], memo[q][0])
    memo[q][0] = memo[p][0]
for _ in range(L):
    r, s = [int(_) for _ in input().split()]
    memo[r][1] = min(memo[r][1], memo[s][1])
    memo[s][1] = memo[r][1]


def dfs0(i):
    if i == memo[i][0]:
        return i
    else:
        memo[i][0] = dfs0(memo[i][0])
        return memo[i][0]


def dfs1(i):
    if i == memo[i][1]:
        return i
    else:
        memo[i][1] = dfs1(memo[i][1])
        return memo[i][1]


for i in range(1, N + 1):
    memo[i][0] = dfs0(i)
    memo[i][1] = dfs1(i)
count = [[0] * N for _ in range(N)]
for i in range(1, N + 1):
    count[memo[i][0] - 1][memo[i][1] - 1] += 1
print(' '.join(str(count[memo[i][0]-1][memo[i][1]-1])
               for i in range(1, N + 1)))


Fixed submission:
class UFT():
    def __init__(self):
        self.par = {}
        self.rank = {}

    def find(self, x):
        if self.par.get(x, x) == x:
            return x
        else:
            self.par[x] = self.find(self.par[x])
            return self.par[x]

    def unite(self, x, y):
        x = self.find(x)
        y = self.find(y)
        if x == y:
            return

        self.rank[x] = self.rank.get(x, 0)
        self.rank[y] = self.rank.get(y, 0)

        if self.rank[x] < self.rank[y]:
            self.par[x] = y
        else:
            self.par[y] = x
            if self.rank[x] == self.rank[y]:
                self.rank[x] += 1

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

N, K, L = [int(_) for _ in input().split()]

Road = UFT()
for _ in range(K):
    p, q = [int(_) for _ in input().split()]
    Road.unite(p, q)
Railway = UFT()
for _ in range(L):
    r, s = [int(_) for _ in input().split()]
    Railway.unite(r, s)
memo = {}
for i in range(1, N + 1):
    memo[Road.find(i), Railway.find(i)] = memo.get((Road.find(i), Railway.find(i)), 0) + 1
print(' '.join(str(memo[Road.find(i), Railway.find(i)]) for i in range(1, N + 1)))

Buggy python submission (verdict: Time Limit Exceeded):
N, K, L = [int(_) for _ in input().split()]
memo = [[i, i] for i in range(N + 1)]

for _ in range(K):
    p, q = [int(_) for _ in input().split()]
    memo[p][0] = min(memo[p][0], memo[q][0])
    memo[q][0] = memo[p][0]
for _ in range(L):
    r, s = [int(_) for _ in input().split()]
    memo[r][1] = min(memo[r][1], memo[s][1])
    memo[s][1] = memo[r][1]


def dfs0(i):
    if i == memo[i][0]:
        return i
    else:
        memo[i][0] = dfs0(memo[i][0])
        return memo[i][0]


def dfs1(i):
    if i == memo[i][1]:
        return i
    else:
        memo[i][1] = dfs1(memo[i][1])
        return memo[i][1]


for i in range(1, N + 1):
    memo[i][0] = dfs0(i)
    memo[i][1] = dfs1(i)
count = [[0] * N for _ in range(N)]
for i in range(1, N + 1):
    count[memo[i][0] - 1][memo[i][1] - 1] += 1
print(' '.join(str(count[memo[i][0]-1][memo[i][1]-1])
               for i in range(1, N + 1)))


Fixed submission:
class UFT():
    def __init__(self):
        self.par = {}
        self.rank = {}

    def find(self, x):
        if self.par.get(x, x) == x:
            return x
        else:
            self.par[x] = self.find(self.par[x])
            return self.par[x]

    def unite(self, x, y):
        x = self.find(x)
        y = self.find(y)
        if x == y:
            return

        self.rank[x] = self.rank.get(x, 0)
        self.rank[y] = self.rank.get(y, 0)

        if self.rank[x] < self.rank[y]:
            self.par[x] = y
        else:
            self.par[y] = x
            if self.rank[x] == self.rank[y]:
                self.rank[x] += 1

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

N, K, L = [int(_) for _ in input().split()]

Road = UFT()
for _ in range(K):
    p, q = [int(_) for _ in input().split()]
    Road.unite(p, q)
Railway = UFT()
for _ in range(L):
    r, s = [int(_) for _ in input().split()]
    Railway.unite(r, s)
memo = {}
for i in range(1, N + 1):
    memo[Road.find(i), Railway.find(i)] = memo.get((Road.find(i), Railway.find(i)), 0) + 1
print(' '.join(str(memo[Road.find(i), Railway.find(i)]) for i in range(1, N + 1)))

Buggy python submission (verdict: Time Limit Exceeded):
class UFT():
    def __init__(self):
        self.par = {}
        self.rank = {}

    def find(self, x):
        if self.par.get(x, x) == x:
            return x
        else:
            self.par[x] = self.find(self.par[x])
            return self.par[x]

    def unite(self, x, y):
        x = self.find(x)
        y = self.find(y)
        if x == y:
            return

        self.rank[x] = self.rank.get(x, 0)
        self.rank[y] = self.rank.get(y, 0)

        if self.rank[x] < self.rank[y]:
            self.par[x] = y
        else:
            self.par[y] = x
            if self.rank[x] == self.rank[y]:
                self.rank[x] += 1

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

N, K, L = [int(_) for _ in input().split()]

Road = UFT()
for _ in range(K):
    p, q = [int(_) for _ in input().split()]
    Road.unite(p, q)
Railway = UFT()
for _ in range(L):
    r, s = [int(_) for _ in input().split()]
    Railway.unite(r, s)
memo = {}
for i in range(1, N + 1):
    memo[Road.find(i), Railway.find(i)] = memo.get((Road.find(i), Railway.find(i)), 0) + 1
print(' '.join(str(memo[Road.find(i), Railway.find(i)]) for i in range(1, N + 1)))


Fixed submission:
class UFT():
    def __init__(self):
        self.par = {}
        self.rank = {}

    def find(self, x):
        if self.par.get(x, x) == x:
            return x
        else:
            self.par[x] = self.find(self.par[x])
            return self.par[x]

    def unite(self, x, y):
        x = self.find(x)
        y = self.find(y)
        if x == y:
            return

        self.rank[x] = self.rank.get(x, 0)
        self.rank[y] = self.rank.get(y, 0)

        if self.rank[x] < self.rank[y]:
            self.par[x] = y
        else:
            self.par[y] = x
            if self.rank[x] == self.rank[y]:
                self.rank[x] += 1

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

N, K, L = [int(_) for _ in input().split()]

Road = UFT()
for _ in range(K):
    p, q = [int(_) for _ in input().split()]
    Road.unite(p, q)
Railway = UFT()
for _ in range(L):
    r, s = [int(_) for _ in input().split()]
    Railway.unite(r, s)
memo = {}
for i in range(1, N + 1):
    memo[Road.find(i), Railway.find(i)] = memo.get((Road.find(i), Railway.find(i)), 0) + 1
print(' '.join(str(memo[Road.find(i), Railway.find(i)]) for i in range(1, N + 1)))

Buggy python submission (verdict: Time Limit Exceeded):
class UFT():
    def __init__(self):
        self.par = {}
        self.rank = {}

    def find(self, x):
        if self.par.get(x, x) == x:
            return x
        else:
            self.par[x] = self.find(self.par[x])
            return self.par[x]

    def unite(self, x, y):
        x = self.find(x)
        y = self.find(y)
        if x == y:
            return

        self.rank[x] = self.rank.get(x, 0)
        self.rank[y] = self.rank.get(y, 0)

        if self.rank[x] < self.rank[y]:
            self.par[x] = y
        else:
            self.par[y] = x
            if self.rank[x] == self.rank[y]:
                self.rank[x] += 1

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

N, K, L = [int(_) for _ in input().split()]

Road = UFT()
for _ in range(K):
    p, q = [int(_) for _ in input().split()]
    Road.unite(p, q)
Railway = UFT()
for _ in range(L):
    r, s = [int(_) for _ in input().split()]
    Railway.unite(r, s)
memo = [[0] * N for _ in range(N)]
for i in range(1, N + 1):
    memo[Road.find(i) - 1][Railway.find(i) - 1] += 1
print(' '.join(str(memo[Road.find(i) - 1][Railway.find(i) - 1]) for i in range(1, N + 1)))


Fixed submission:
class UFT():
    def __init__(self):
        self.par = {}
        self.rank = {}

    def find(self, x):
        if self.par.get(x, x) == x:
            return x
        else:
            self.par[x] = self.find(self.par[x])
            return self.par[x]

    def unite(self, x, y):
        x = self.find(x)
        y = self.find(y)
        if x == y:
            return

        self.rank[x] = self.rank.get(x, 0)
        self.rank[y] = self.rank.get(y, 0)

        if self.rank[x] < self.rank[y]:
            self.par[x] = y
        else:
            self.par[y] = x
            if self.rank[x] == self.rank[y]:
                self.rank[x] += 1

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

N, K, L = [int(_) for _ in input().split()]

Road = UFT()
for _ in range(K):
    p, q = [int(_) for _ in input().split()]
    Road.unite(p, q)
Railway = UFT()
for _ in range(L):
    r, s = [int(_) for _ in input().split()]
    Railway.unite(r, s)
memo = {}
for i in range(1, N + 1):
    memo[Road.find(i), Railway.find(i)] = memo.get((Road.find(i), Railway.find(i)), 0) + 1
print(' '.join(str(memo[Road.find(i), Railway.find(i)]) for i in range(1, N + 1)))

Buggy python submission (verdict: Time Limit Exceeded):
class UFT():
    def __init__(self):
        self.par = {}
        self.rank = {}

    def find(self, x):
        if self.par.get(x, x) == x:
            return x
        else:
            self.par[x] = self.find(self.par[x])
            return self.par[x]

    def unite(self, x, y):
        x = self.find(x)
        y = self.find(y)
        if x == y:
            return

        self.rank[x] = self.rank.get(x, 0)
        self.rank[y] = self.rank.get(y, 0)

        if self.rank[x] < self.rank[y]:
            self.par[x] = y
        else:
            self.par[y] = x
            if self.rank[x] == self.rank[y]:
                self.rank[x] += 1

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

N, K, L = [int(_) for _ in input().split()]

C = UFT()
for _ in range(K):
    p, q = [int(_) for _ in input().split()]
    C.unite(p, q)
for _ in range(L):
    r, s = [int(_) for _ in input().split()]
    C.unite(r + N, s + N)
memo = {}
for i in range(1, N + 1):
    memo[C.find(i) - 1, C.find(i + N) - N - 1] = memo.get((C.find(i) - 1, C.find(i + N) - N - 1), 0) + 1
print(' '.join(str(memo[C.find(i) - 1, C.find(i + N) - N - 1]) for i in range(1, N + 1)))


Fixed submission:
class UFT():
    def __init__(self):
        self.par = {}
        self.rank = {}

    def find(self, x):
        if self.par.get(x, x) == x:
            return x
        else:
            self.par[x] = self.find(self.par[x])
            return self.par[x]

    def unite(self, x, y):
        x = self.find(x)
        y = self.find(y)
        if x == y:
            return

        self.rank[x] = self.rank.get(x, 0)
        self.rank[y] = self.rank.get(y, 0)

        if self.rank[x] < self.rank[y]:
            self.par[x] = y
        else:
            self.par[y] = x
            if self.rank[x] == self.rank[y]:
                self.rank[x] += 1

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

N, K, L = [int(_) for _ in input().split()]

Road = UFT()
for _ in range(K):
    p, q = [int(_) for _ in input().split()]
    Road.unite(p, q)
Railway = UFT()
for _ in range(L):
    r, s = [int(_) for _ in input().split()]
    Railway.unite(r, s)
memo = {}
for i in range(1, N + 1):
    memo[Road.find(i), Railway.find(i)] = memo.get((Road.find(i), Railway.find(i)), 0) + 1
print(' '.join(str(memo[Road.find(i), Railway.find(i)]) for i in range(1, N + 1)))

Buggy python submission (verdict: Time Limit Exceeded):
class UFT():
    def __init__(self):
        self.par = {}
        self.rank = {}

    def find(self, x):
        if self.par.get(x, x) == x:
            return x
        else:
            self.par[x] = self.find(self.par[x])
            return self.par[x]

    def unite(self, x, y):
        x = self.find(x)
        y = self.find(y)
        if x == y:
            return

        self.rank[x] = self.rank.get(x, 0)
        self.rank[y] = self.rank.get(y, 0)

        if self.rank[x] < self.rank[y]:
            self.par[x] = y
        else:
            self.par[y] = x
            if self.rank[x] == self.rank[y]:
                self.rank[x] += 1

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


N, K, L = [int(_) for _ in input().split()]

C = UFT()
for _ in range(K):
    p, q = [int(_) for _ in input().split()]
    C.unite(p, q)
for _ in range(L):
    r, s = [int(_) for _ in input().split()]
    C.unite(r + N, s + N)
memo = [[0] * N for _ in range(N)]
for i in range(1, N + 1):
    memo[C.root(i) - 1][C.root(i + N) - N - 1] += 1
print(' '.join(str(memo[C.root(i) - 1][C.root(i + N) - N - 1]) for i in range(1, N + 1)))


Fixed submission:
class UFT():
    def __init__(self):
        self.par = {}
        self.rank = {}

    def find(self, x):
        if self.par.get(x, x) == x:
            return x
        else:
            self.par[x] = self.find(self.par[x])
            return self.par[x]

    def unite(self, x, y):
        x = self.find(x)
        y = self.find(y)
        if x == y:
            return

        self.rank[x] = self.rank.get(x, 0)
        self.rank[y] = self.rank.get(y, 0)

        if self.rank[x] < self.rank[y]:
            self.par[x] = y
        else:
            self.par[y] = x
            if self.rank[x] == self.rank[y]:
                self.rank[x] += 1

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

N, K, L = [int(_) for _ in input().split()]

Road = UFT()
for _ in range(K):
    p, q = [int(_) for _ in input().split()]
    Road.unite(p, q)
Railway = UFT()
for _ in range(L):
    r, s = [int(_) for _ in input().split()]
    Railway.unite(r, s)
memo = {}
for i in range(1, N + 1):
    memo[Road.find(i), Railway.find(i)] = memo.get((Road.find(i), Railway.find(i)), 0) + 1
print(' '.join(str(memo[Road.find(i), Railway.find(i)]) for i in range(1, N + 1)))

Buggy python submission (verdict: Time Limit Exceeded):
class UFT():
    def __init__(self):
        self.par = {}
        self.rank = {}

    def find(self, x):
        if self.par.get(x, x) == x:
            return x
        else:
            self.par[x] = self.find(self.par[x])
            return self.par[x]

    def unite(self, x, y):
        x = self.find(x)
        y = self.find(y)
        if x == y:
            return

        self.rank[x] = self.rank.get(x, 0)
        self.rank[y] = self.rank.get(y, 0)

        if self.rank[x] < self.rank[y]:
            self.par[x] = y
        else:
            self.par[y] = x
            if self.rank[x] == self.rank[y]:
                self.rank[x] += 1

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


N, K, L = [int(_) for _ in input().split()]

C = UFT()
for _ in range(K):
    p, q = [int(_) for _ in input().split()]
    C.unite(p, q)
for _ in range(L):
    r, s = [int(_) for _ in input().split()]
    C.unite(r + N, s + N)
memo = [[0] * N for _ in range(N)]
for i in range(1, N + 1):
    memo[C.root(i) - 1][C.root(i + N) - N - 1] += 1
print(' '.join(str(memo[C.root(i) - 1][C.root(i + N) - N - 1]) for i in range(1, N + 1)))


Fixed submission:
class UFT():
    def __init__(self):
        self.par = {}
        self.rank = {}

    def find(self, x):
        if self.par.get(x, x) == x:
            return x
        else:
            self.par[x] = self.find(self.par[x])
            return self.par[x]

    def unite(self, x, y):
        x = self.find(x)
        y = self.find(y)
        if x == y:
            return

        self.rank[x] = self.rank.get(x, 0)
        self.rank[y] = self.rank.get(y, 0)

        if self.rank[x] < self.rank[y]:
            self.par[x] = y
        else:
            self.par[y] = x
            if self.rank[x] == self.rank[y]:
                self.rank[x] += 1

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

N, K, L = [int(_) for _ in input().split()]

Road = UFT()
for _ in range(K):
    p, q = [int(_) for _ in input().split()]
    Road.unite(p, q)
Railway = UFT()
for _ in range(L):
    r, s = [int(_) for _ in input().split()]
    Railway.unite(r, s)
memo = {}
for i in range(1, N + 1):
    memo[Road.find(i), Railway.find(i)] = memo.get((Road.find(i), Railway.find(i)), 0) + 1
print(' '.join(str(memo[Road.find(i), Railway.find(i)]) for i in range(1, N + 1)))

Buggy python submission (verdict: Time Limit Exceeded):
class UFT():
    def __init__(self):
        self.par = {}
        self.rank = {}

    def find(self, x):
        if self.par.get(x, x) == x:
            return x
        else:
            self.par[x] = self.find(self.par[x])
            return self.par[x]

    def unite(self, x, y):
        x = self.find(x)
        y = self.find(y)
        if x == y:
            return

        self.rank[x] = self.rank.get(x, 0)
        self.rank[y] = self.rank.get(y, 0)

        if self.rank[x] < self.rank[y]:
            self.par[x] = y
        else:
            self.par[y] = x
            if self.rank[x] == self.rank[y]:
                self.rank[x] += 1

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


N, K, L = [int(_) for _ in input().split()]

C = UFT()
for _ in range(K):
    p, q = [int(_) for _ in input().split()]
    C.unite(p, q)
for _ in range(L):
    r, s = [int(_) for _ in input().split()]
    C.unite(r + N, s + N)
ans = []
for i in range(1, N + 1):
    count = 0
    for j in range(1, N + 1):
        if C.same(i, j) and C.same(i + N, j + N):
            count += 1
    ans += [str(count)]
print(' '.join(ans))


Fixed submission:
class UFT():
    def __init__(self):
        self.par = {}
        self.rank = {}

    def find(self, x):
        if self.par.get(x, x) == x:
            return x
        else:
            self.par[x] = self.find(self.par[x])
            return self.par[x]

    def unite(self, x, y):
        x = self.find(x)
        y = self.find(y)
        if x == y:
            return

        self.rank[x] = self.rank.get(x, 0)
        self.rank[y] = self.rank.get(y, 0)

        if self.rank[x] < self.rank[y]:
            self.par[x] = y
        else:
            self.par[y] = x
            if self.rank[x] == self.rank[y]:
                self.rank[x] += 1

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

N, K, L = [int(_) for _ in input().split()]

Road = UFT()
for _ in range(K):
    p, q = [int(_) for _ in input().split()]
    Road.unite(p, q)
Railway = UFT()
for _ in range(L):
    r, s = [int(_) for _ in input().split()]
    Railway.unite(r, s)
memo = {}
for i in range(1, N + 1):
    memo[Road.find(i), Railway.find(i)] = memo.get((Road.find(i), Railway.find(i)), 0) + 1
print(' '.join(str(memo[Road.find(i), Railway.find(i)]) for i in range(1, N + 1)))

Buggy python submission (verdict: Time Limit Exceeded):
N, K, L = [int(_) for _ in input().split()]
PQ = sorted([sorted([int(_) for _ in input().split()]) for _ in range(K)], key = lambda xs: xs[0])
RS = sorted([sorted([int(_) for _ in input().split()]) for _ in range(L)], key = lambda xs: xs[0])

road_train = [[i, i] for i in range(N + 1)]

for pq in PQ:
    road_train[pq[0]][0] = min(road_train[pq[0]][0], road_train[pq[1]][0])
    road_train[pq[1]][0] = road_train[pq[0]][0]
for rs in RS:
    road_train[rs[0]][1] = min(road_train[rs[0]][1], road_train[rs[1]][1])
    road_train[rs[1]][1] = road_train[rs[0]][1]

dp = [[0 for _ in range(N + 1)] for _ in range(N + 1)]
result = []
for i in range(1, N + 1):
    if dp[road_train[i][0]][road_train[i][1]] == 0:
        count = 0
        for j in range(1, N + 1):
            if road_train[j] == road_train[i]:
                count += 1
        dp[road_train[i][0]][road_train[i][1]] = count
    result += [str(dp[road_train[i][0]][road_train[i][1]])]

print(' '.join(result))

Fixed submission:
class UFT():
    def __init__(self):
        self.par = {}
        self.rank = {}

    def find(self, x):
        if self.par.get(x, x) == x:
            return x
        else:
            self.par[x] = self.find(self.par[x])
            return self.par[x]

    def unite(self, x, y):
        x = self.find(x)
        y = self.find(y)
        if x == y:
            return

        self.rank[x] = self.rank.get(x, 0)
        self.rank[y] = self.rank.get(y, 0)

        if self.rank[x] < self.rank[y]:
            self.par[x] = y
        else:
            self.par[y] = x
            if self.rank[x] == self.rank[y]:
                self.rank[x] += 1

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

N, K, L = [int(_) for _ in input().split()]

Road = UFT()
for _ in range(K):
    p, q = [int(_) for _ in input().split()]
    Road.unite(p, q)
Railway = UFT()
for _ in range(L):
    r, s = [int(_) for _ in input().split()]
    Railway.unite(r, s)
memo = {}
for i in range(1, N + 1):
    memo[Road.find(i), Railway.find(i)] = memo.get((Road.find(i), Railway.find(i)), 0) + 1
print(' '.join(str(memo[Road.find(i), Railway.find(i)]) for i in range(1, N + 1)))

Buggy python submission (verdict: Time Limit Exceeded):
import itertools
N, K, L = [int(_) for _ in input().split()]
PQ = [[int(_) for _ in input().split()] for _ in range(K)]
RS = [[int(_) for _ in input().split()] for _ in range(L)]

road = [[1 if i == j else 0 for j in range(N + 1)] for i in range(N + 1)]
road[0][0] = 0
train = [[1 if i == j else 0 for j in range(N + 1)] for i in range(N + 1)]
train[0][0] = 0

for i, j in itertools.product(range(K), range(1, N + 1)):
    if road[PQ[i][0]][j] or road[PQ[i][1]][j]:
        road[PQ[i][0]][j] = 1
        road[PQ[i][1]][j] = 1
        road[j][PQ[i][0]] = 1
        road[j][PQ[i][1]] = 1

for i, j in itertools.product(range(L), range(1, N + 1)):
    if train[RS[i][0]][j] or train[RS[i][1]][j]:
        train[RS[i][0]][j] = 1
        train[RS[i][1]][j] = 1
        train[j][RS[i][0]] = 1
        train[j][RS[i][1]] = 1

print(' '.join([str(sum([road[i][j] and train[i][j] for j in range(1, N + 1)])) for i in range(1, N + 1)]))

Fixed submission:
class UFT():
    def __init__(self):
        self.par = {}
        self.rank = {}

    def find(self, x):
        if self.par.get(x, x) == x:
            return x
        else:
            self.par[x] = self.find(self.par[x])
            return self.par[x]

    def unite(self, x, y):
        x = self.find(x)
        y = self.find(y)
        if x == y:
            return

        self.rank[x] = self.rank.get(x, 0)
        self.rank[y] = self.rank.get(y, 0)

        if self.rank[x] < self.rank[y]:
            self.par[x] = y
        else:
            self.par[y] = x
            if self.rank[x] == self.rank[y]:
                self.rank[x] += 1

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

N, K, L = [int(_) for _ in input().split()]

Road = UFT()
for _ in range(K):
    p, q = [int(_) for _ in input().split()]
    Road.unite(p, q)
Railway = UFT()
for _ in range(L):
    r, s = [int(_) for _ in input().split()]
    Railway.unite(r, s)
memo = {}
for i in range(1, N + 1):
    memo[Road.find(i), Railway.find(i)] = memo.get((Road.find(i), Railway.find(i)), 0) + 1
print(' '.join(str(memo[Road.find(i), Railway.find(i)]) for i in range(1, N + 1)))