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

sys.setrecursionlimit(2147483647)


class Graph:
    def __init__(self):
        self.graph = defaultdict(set)

    def interconnect(self, u, v):
        self.graph[u].add(v)
        self.graph[v].add(u)

    def dfs(self, start):
        seen = set()
        return self.dfs_recurse(start, seen)

    def dfs_recurse(self, v, seen):
        seen.add(v)
        for u in self.graph[v] - seen:
            self.dfs_recurse(u, seen)
        return seen


if __name__ == "__main__":
    n, m, k = map(int, input().split())

    friends = Graph()
    blocked = defaultdict(set)

    [friends.interconnect(*map(lambda x: int(x) - 1, input().split())) for _ in range(m)]
    for _ in range(k):
        c, d = map(lambda x: int(x) - 1, input().split())
        blocked[c].add(d)
        blocked[d].add(c)

    visited = [False] * n
    counts = [0] * n

    for v in range(n):
        if visited[v]:
            continue
        elems = friends.dfs(v)
        elems_cnt = len(elems)
        for i in elems:
            counts[i] = elems_cnt - len(elems & friends.graph[i]) - len(elems & blocked[i]) - 1
            visited[i] = True

    print(*counts)


Fixed submission:
class UnionFind:
    def __init__(self, n):
        self.n = n
        self.parents = [-1] * n

    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return

        if self.parents[x] > self.parents[y]:
            x, y = y, x

        self.parents[x] += self.parents[y]
        self.parents[y] = x

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

    def size(self, x):
        return -self.parents[self.find(x)]


if __name__ == "__main__":
    n, m, k = map(int, input().split())

    u = UnionFind(n)
    f_cnt = [0] * n
    b_cnt = [0] * n

    for _ in range(m):
        a, b = map(int, input().split())
        u.union(a - 1, b - 1)
        f_cnt[a - 1] += 1
        f_cnt[b - 1] += 1

    for _ in range(k):
        c, d = map(int, input().split())
        if u.same(c - 1, d - 1):
            b_cnt[c - 1] += 1
            b_cnt[d - 1] += 1

    print(*[(u.size(i) - f_cnt[i] - b_cnt[i] - 1) for i in range(n)])

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

sys.setrecursionlimit(2147483647)


class Graph:
    def __init__(self):
        self.graph = defaultdict(set)

    def interconnect(self, u, v):
        self.graph[u].add(v)
        self.graph[v].add(u)

    def dfs(self, start):
        seen = set()
        return self.dfs_recurse(start, seen)

    def dfs_recurse(self, v, seen):
        seen.add(v)
        for u in self.graph[v] - seen:
            self.dfs_recurse(u, seen)
        return seen

    def size(self, v):
        return len(self.dfs(v))


if __name__ == "__main__":
    n, m, k = map(int, input().split())

    f = Graph()
    b = Graph()

    [f.interconnect(*map(lambda x: int(x) - 1, input().split())) for _ in range(m)]
    [b.interconnect(*map(lambda x: int(x) - 1, input().split())) for _ in range(k)]

    visited = [False] * n
    counts = [0] * n

    for v in range(n):
        if visited[v]:
            continue
        elems = f.dfs(v)
        elems_cnt = len(elems)
        for i in elems:
            counts[i] = elems_cnt - len(elems & f.graph[i]) - len(elems & b.graph[i]) - 1
            visited[i] = True

    print(*counts)


Fixed submission:
class UnionFind:
    def __init__(self, n):
        self.n = n
        self.parents = [-1] * n

    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return

        if self.parents[x] > self.parents[y]:
            x, y = y, x

        self.parents[x] += self.parents[y]
        self.parents[y] = x

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

    def size(self, x):
        return -self.parents[self.find(x)]


if __name__ == "__main__":
    n, m, k = map(int, input().split())

    u = UnionFind(n)
    f_cnt = [0] * n
    b_cnt = [0] * n

    for _ in range(m):
        a, b = map(int, input().split())
        u.union(a - 1, b - 1)
        f_cnt[a - 1] += 1
        f_cnt[b - 1] += 1

    for _ in range(k):
        c, d = map(int, input().split())
        if u.same(c - 1, d - 1):
            b_cnt[c - 1] += 1
            b_cnt[d - 1] += 1

    print(*[(u.size(i) - f_cnt[i] - b_cnt[i] - 1) for i in range(n)])

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


def dfs(graph, start):
    visited, stack = set(), [start]
    while stack:
        vertex = stack.pop()
        if vertex not in visited:
            visited.add(vertex)
            stack.extend(graph[vertex] - visited)
    return visited


if __name__ == "__main__":
    n, m, k = map(int, input().split())
    AB = [map(int, input().split()) for _ in range(m)]
    CD = [map(int, input().split()) for _ in range(k)]

    graph_f = defaultdict(set)
    graph_b = defaultdict(set)

    for a, b in AB:
        graph_f[a - 1].add(b - 1)
        graph_f[b - 1].add(a - 1)

    for c, d in CD:
        graph_b[c - 1].add(d - 1)
        graph_b[d - 1].add(c - 1)

    searched = set()
    conns = []
    for i in range(n):
        if i not in searched:
            conn = dfs(graph_f, i)
            searched |= conn
            conns.append(conn)

    res = [0] * n
    for conn in conns:
        lenconn = len(conn)
        for i in conn:
            res[i] = len(conn - graph_b[i]) - len(graph_f[i]) - 1

    print(' '.join(map(str, res)))


Fixed submission:
class UnionFind:
    def __init__(self, n):
        self.n = n
        self.parents = [-1] * n

    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return

        if self.parents[x] > self.parents[y]:
            x, y = y, x

        self.parents[x] += self.parents[y]
        self.parents[y] = x

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

    def size(self, x):
        return -self.parents[self.find(x)]


if __name__ == "__main__":
    n, m, k = map(int, input().split())

    u = UnionFind(n)
    f_cnt = [0] * n
    b_cnt = [0] * n

    for _ in range(m):
        a, b = map(int, input().split())
        u.union(a - 1, b - 1)
        f_cnt[a - 1] += 1
        f_cnt[b - 1] += 1

    for _ in range(k):
        c, d = map(int, input().split())
        if u.same(c - 1, d - 1):
            b_cnt[c - 1] += 1
            b_cnt[d - 1] += 1

    print(*[(u.size(i) - f_cnt[i] - b_cnt[i] - 1) for i in range(n)])

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


def dfs(graph, start):
    visited, stack = set(), [start]
    while stack:
        vertex = stack.pop()
        if vertex not in visited:
            visited.add(vertex)
            stack.extend(graph[vertex] - visited)
    return visited


if __name__ == "__main__":
    n, m, k = map(int, input().split())
    AB = [map(int, input().split()) for _ in range(m)]
    CD = [map(int, input().split()) for _ in range(k)]

    graph_f = defaultdict(set)
    graph_b = defaultdict(set)

    for a, b in AB:
        graph_f[a - 1].add(b - 1)
        graph_f[b - 1].add(a - 1)

    for c, d in CD:
        graph_b[c - 1].add(d - 1)
        graph_b[d - 1].add(c - 1)

    searched = set()
    conns = []
    for i in range(n):
        if i not in searched:
            conn = dfs(graph_f, i)
            searched |= conn
            conns.append(conn)

    res = [0] * n
    for conn in conns:
        for i in conn:
            res[i] = len(conn - graph_f[i] - graph_b[i]) - 1

    print(' '.join(map(str, res)))


Fixed submission:
class UnionFind:
    def __init__(self, n):
        self.n = n
        self.parents = [-1] * n

    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return

        if self.parents[x] > self.parents[y]:
            x, y = y, x

        self.parents[x] += self.parents[y]
        self.parents[y] = x

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

    def size(self, x):
        return -self.parents[self.find(x)]


if __name__ == "__main__":
    n, m, k = map(int, input().split())

    u = UnionFind(n)
    f_cnt = [0] * n
    b_cnt = [0] * n

    for _ in range(m):
        a, b = map(int, input().split())
        u.union(a - 1, b - 1)
        f_cnt[a - 1] += 1
        f_cnt[b - 1] += 1

    for _ in range(k):
        c, d = map(int, input().split())
        if u.same(c - 1, d - 1):
            b_cnt[c - 1] += 1
            b_cnt[d - 1] += 1

    print(*[(u.size(i) - f_cnt[i] - b_cnt[i] - 1) for i in range(n)])

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


def dfs(graph, start):
    visited, stack = set(), [start]
    while stack:
        vertex = stack.pop()
        if vertex not in visited:
            visited.add(vertex)
            stack.extend(graph[vertex] - visited)
    return visited


if __name__ == "__main__":
    n, m, k = map(int, input().split())
    AB = [map(int, input().split()) for _ in range(m)]
    CD = [map(int, input().split()) for _ in range(k)]

    graph_f = defaultdict(set)
    graph_b = defaultdict(set)

    for a, b in AB:
        graph_f[a - 1].add(b - 1)
        graph_f[b - 1].add(a - 1)

    for c, d in CD:
        graph_b[c - 1].add(d - 1)
        graph_b[d - 1].add(c - 1)

    visited = set()
    conns = {}
    for i in range(n):
        if i not in visited:
            conn = dfs(graph_f, i)
            visited |= {i} | conn
            conns.update({i: conn})
            for j in conn:
                conns.update({j: conn})

    print(' '.join([str(len(conns[i] - graph_f[i] - graph_b[i]) - 1) for i in range(n)]))


Fixed submission:
class UnionFind:
    def __init__(self, n):
        self.n = n
        self.parents = [-1] * n

    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return

        if self.parents[x] > self.parents[y]:
            x, y = y, x

        self.parents[x] += self.parents[y]
        self.parents[y] = x

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

    def size(self, x):
        return -self.parents[self.find(x)]


if __name__ == "__main__":
    n, m, k = map(int, input().split())

    u = UnionFind(n)
    f_cnt = [0] * n
    b_cnt = [0] * n

    for _ in range(m):
        a, b = map(int, input().split())
        u.union(a - 1, b - 1)
        f_cnt[a - 1] += 1
        f_cnt[b - 1] += 1

    for _ in range(k):
        c, d = map(int, input().split())
        if u.same(c - 1, d - 1):
            b_cnt[c - 1] += 1
            b_cnt[d - 1] += 1

    print(*[(u.size(i) - f_cnt[i] - b_cnt[i] - 1) for i in range(n)])

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


def dfs(graph, start):
    visited, stack = set(), [start]
    while stack:
        vertex = stack.pop()
        if vertex not in visited:
            visited.add(vertex)
            stack.extend(graph[vertex] - visited)
    return visited


if __name__ == "__main__":
    n, m, k = map(int, input().split())
    AB = [map(int, input().split()) for _ in range(m)]
    CD = [map(int, input().split()) for _ in range(k)]

    graph_f = defaultdict(set)
    graph_b = defaultdict(set)

    for a, b in AB:
        graph_f[a - 1].add(b - 1)
        graph_f[b - 1].add(a - 1)

    for c, d in CD:
        graph_b[c - 1].add(d - 1)
        graph_b[d - 1].add(c - 1)

    visited = set()
    conns = {}
    for i in range(n):
        if i not in visited:
            conn = dfs(graph_f, i)
            visited |= {i} | conn
            for j in conn:
                conns.update({j: conn})

    print(' '.join([str(len(conns[i] - graph_f[i] - graph_b[i]) - 1) for i in range(n)]))


Fixed submission:
class UnionFind:
    def __init__(self, n):
        self.n = n
        self.parents = [-1] * n

    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return

        if self.parents[x] > self.parents[y]:
            x, y = y, x

        self.parents[x] += self.parents[y]
        self.parents[y] = x

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

    def size(self, x):
        return -self.parents[self.find(x)]


if __name__ == "__main__":
    n, m, k = map(int, input().split())

    u = UnionFind(n)
    f_cnt = [0] * n
    b_cnt = [0] * n

    for _ in range(m):
        a, b = map(int, input().split())
        u.union(a - 1, b - 1)
        f_cnt[a - 1] += 1
        f_cnt[b - 1] += 1

    for _ in range(k):
        c, d = map(int, input().split())
        if u.same(c - 1, d - 1):
            b_cnt[c - 1] += 1
            b_cnt[d - 1] += 1

    print(*[(u.size(i) - f_cnt[i] - b_cnt[i] - 1) for i in range(n)])

Buggy python submission (verdict: Runtime Error):
from collections import defaultdict


def dfs(graph, start):
    visited, stack = set(), [start]
    while stack:
        vertex = stack.pop()
        if vertex not in visited:
            visited.add(vertex)
            stack.extend(graph[vertex] - visited)
    return visited


if __name__ == "__main__":
    n, m, k = map(int, input().split())
    AB = [map(int, input().split()) for _ in range(m)]
    CD = [map(int, input().split()) for _ in range(k)]

    graph_f = defaultdict(set)
    graph_b = defaultdict(set)

    for a, b in AB:
        graph_f[a - 1].add(b - 1)
        graph_f[b - 1].add(a - 1)

    for c, d in CD:
        graph_b[c - 1].add(d - 1)
        graph_b[d - 1].add(c - 1)

    visited = set()
    conns = {}
    for i in range(n):
        if i not in visited:
            conn = dfs(graph_f, i)
            visited |= {i} | conn
            conns = {**conns, **{j: conn for j in conn}}

    print(' '.join([str(len(conns[i] - graph_f[i] - graph_b[i]) - 1) for i in range(n)]))


Fixed submission:
class UnionFind:
    def __init__(self, n):
        self.n = n
        self.parents = [-1] * n

    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return

        if self.parents[x] > self.parents[y]:
            x, y = y, x

        self.parents[x] += self.parents[y]
        self.parents[y] = x

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

    def size(self, x):
        return -self.parents[self.find(x)]


if __name__ == "__main__":
    n, m, k = map(int, input().split())

    u = UnionFind(n)
    f_cnt = [0] * n
    b_cnt = [0] * n

    for _ in range(m):
        a, b = map(int, input().split())
        u.union(a - 1, b - 1)
        f_cnt[a - 1] += 1
        f_cnt[b - 1] += 1

    for _ in range(k):
        c, d = map(int, input().split())
        if u.same(c - 1, d - 1):
            b_cnt[c - 1] += 1
            b_cnt[d - 1] += 1

    print(*[(u.size(i) - f_cnt[i] - b_cnt[i] - 1) for i in range(n)])

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


def dfs(graph, start):
    visited, stack = set(), [start]
    while stack:
        vertex = stack.pop()
        if vertex not in visited:
            visited.add(vertex)
            stack.extend(graph[vertex] - visited)
    return visited


if __name__ == "__main__":
    n, m, k = map(int, input().split())
    AB = [map(int, input().split()) for _ in range(m)]
    CD = [map(int, input().split()) for _ in range(k)]

    graph_f = defaultdict(set)
    graph_b = defaultdict(set)

    for a, b in AB:
        graph_f[a - 1].add(b - 1)
        graph_f[b - 1].add(a - 1)

    for c, d in CD:
        graph_b[c - 1].add(d - 1)
        graph_b[d - 1].add(c - 1)

    visited = set()
    conns = []
    for i in range(n):
        if i not in visited:
            conn = dfs(graph_f, i)
            visited |= conn
            conns.append(conn)

    res = []
    for i in range(n):
        suggestion_cnt = 0
        current_conn = list(filter(lambda x: i in x, conns))[0]
        res.append(len(current_conn - graph_f[i] - graph_b[i]) - 1)

    print(' '.join(map(str, res)))


Fixed submission:
class UnionFind:
    def __init__(self, n):
        self.n = n
        self.parents = [-1] * n

    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return

        if self.parents[x] > self.parents[y]:
            x, y = y, x

        self.parents[x] += self.parents[y]
        self.parents[y] = x

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

    def size(self, x):
        return -self.parents[self.find(x)]


if __name__ == "__main__":
    n, m, k = map(int, input().split())

    u = UnionFind(n)
    f_cnt = [0] * n
    b_cnt = [0] * n

    for _ in range(m):
        a, b = map(int, input().split())
        u.union(a - 1, b - 1)
        f_cnt[a - 1] += 1
        f_cnt[b - 1] += 1

    for _ in range(k):
        c, d = map(int, input().split())
        if u.same(c - 1, d - 1):
            b_cnt[c - 1] += 1
            b_cnt[d - 1] += 1

    print(*[(u.size(i) - f_cnt[i] - b_cnt[i] - 1) for i in range(n)])

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


def dfs(graph, start):
    visited, stack = set(), [start]
    while stack:
        vertex = stack.pop()
        if vertex not in visited:
            visited.add(vertex)
            stack.extend(graph[vertex] - visited)
    return visited


if __name__ == "__main__":
    n, m, k = map(int, input().split())
    AB = [map(int, input().split()) for _ in range(m)]
    CD = [map(int, input().split()) for _ in range(k)]

    graph_f = defaultdict(set)
    graph_b = defaultdict(set)

    for a, b in AB:
        graph_f[a - 1].add(b - 1)
        graph_f[b - 1].add(a - 1)

    for c, d in CD:
        graph_b[c - 1].add(d - 1)
        graph_b[d - 1].add(c - 1)

    visited = set()
    conns = []
    for i in range(n):
        if i not in visited:
            conn = dfs(graph_f, i)
            visited |= conn
            conns.append(conn)

    res = []
    for i in range(n):
        suggestion_cnt = 0
        current_conn = list(filter(lambda x: i in x, conns))[0]
        for j in range(n):
            if i == j:
                continue
            else:
                if j in current_conn and j not in graph_f[i] and j not in graph_b[i]:
                    suggestion_cnt += 1
        res.append(suggestion_cnt)

    print(' '.join(map(str, res)))


Fixed submission:
class UnionFind:
    def __init__(self, n):
        self.n = n
        self.parents = [-1] * n

    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return

        if self.parents[x] > self.parents[y]:
            x, y = y, x

        self.parents[x] += self.parents[y]
        self.parents[y] = x

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

    def size(self, x):
        return -self.parents[self.find(x)]


if __name__ == "__main__":
    n, m, k = map(int, input().split())

    u = UnionFind(n)
    f_cnt = [0] * n
    b_cnt = [0] * n

    for _ in range(m):
        a, b = map(int, input().split())
        u.union(a - 1, b - 1)
        f_cnt[a - 1] += 1
        f_cnt[b - 1] += 1

    for _ in range(k):
        c, d = map(int, input().split())
        if u.same(c - 1, d - 1):
            b_cnt[c - 1] += 1
            b_cnt[d - 1] += 1

    print(*[(u.size(i) - f_cnt[i] - b_cnt[i] - 1) for i in range(n)])

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


def dfs(graph, start):
    visited, stack = set(), [start]
    while stack:
        vertex = stack.pop()
        if vertex not in visited:
            visited.add(vertex)
            stack.extend(graph[vertex] - visited)
    return visited

n, m, k = map(int, input().split())
AB = [map(int, input().split()) for _ in range(m)]
CD = [map(int, input().split()) for _ in range(k)]

graph_f = defaultdict(set)
graph_b = defaultdict(set)

for a, b in AB:
    graph_f[a].add(b)
    graph_f[b].add(a)

for c, d in CD:
    graph_b[c].add(d)
    graph_b[d].add(c)

res = [0] * n

for i in range(1, n + 1):
    reachables = dfs(graph_f, i)
    for j in range(1, n + 1):
        if i == j:
            continue
        else:
            if j in reachables and j not in graph_f[i] and j not in graph_b[i]:
                res[i - 1] += 1

print(' '.join(map(str, res)))

Fixed submission:
class UnionFind:
    def __init__(self, n):
        self.n = n
        self.parents = [-1] * n

    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return

        if self.parents[x] > self.parents[y]:
            x, y = y, x

        self.parents[x] += self.parents[y]
        self.parents[y] = x

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

    def size(self, x):
        return -self.parents[self.find(x)]


if __name__ == "__main__":
    n, m, k = map(int, input().split())

    u = UnionFind(n)
    f_cnt = [0] * n
    b_cnt = [0] * n

    for _ in range(m):
        a, b = map(int, input().split())
        u.union(a - 1, b - 1)
        f_cnt[a - 1] += 1
        f_cnt[b - 1] += 1

    for _ in range(k):
        c, d = map(int, input().split())
        if u.same(c - 1, d - 1):
            b_cnt[c - 1] += 1
            b_cnt[d - 1] += 1

    print(*[(u.size(i) - f_cnt[i] - b_cnt[i] - 1) for i in range(n)])