Problem:


Score : 400 points

Problem Statement

An SNS has N users - User 1, User 2, \cdots, User N.

Between these N users, there are some relationships - M friendships and K blockships.

For each i = 1, 2, \cdots, M, there is a bidirectional friendship between User A_i and User B_i.

For each i = 1, 2, \cdots, K, there is a bidirectional blockship between User C_i and User D_i.

We define User a to be a friend candidate for User b when all of the following four conditions are satisfied:

a \neq b.

There is not a friendship between User a and User b.

There is not a blockship between User a and User b.

There exists a sequence c_0, c_1, c_2, \cdots, c_L consisting of integers between 1 and N (inclusive) such that c_0 = a, c_L = b, and there is a friendship between User c_i and c_{i+1} for each i = 0, 1, \cdots, L - 1.

For each user i = 1, 2, ... N, how many friend candidates does it have?

Constraints

All values in input are integers.

2 ≤ N ≤ 10^5

0 \leq M \leq 10^5

0 \leq K \leq 10^5

1 \leq A_i, B_i \leq N

A_i \neq B_i

1 \leq C_i, D_i \leq N

C_i \neq D_i

(A_i, B_i) \neq (A_j, B_j) (i \neq j)

(A_i, B_i) \neq (B_j, A_j)

(C_i, D_i) \neq (C_j, D_j) (i \neq j)

(C_i, D_i) \neq (D_j, C_j)

(A_i, B_i) \neq (C_j, D_j)

(A_i, B_i) \neq (D_j, C_j)

Input

Input is given from Standard Input in the following format:

N M K
A_1 B_1
\vdots
A_M B_M
C_1 D_1
\vdots
C_K D_K

Output

Print the answers in order, with space in between.

Sample Input 1

4 4 1
2 1
1 3
3 2
3 4
4 1

Sample Output 1

0 1 0 1

There is a friendship between User 2 and 3, and between 3 and 4. Also, there is no friendship or blockship between User 2 and 4. Thus, User 4 is a friend candidate for User 2.

However, neither User 1 or 3 is a friend candidate for User 2, so User 2 has one friend candidate.

Sample Input 2

5 10 0
1 2
1 3
1 4
1 5
3 2
2 4
2 5
4 3
5 3
4 5

Sample Output 2

0 0 0 0 0

Everyone is a friend of everyone else and has no friend candidate.

Sample Input 3

10 9 3
10 1
6 7
8 2
2 5
8 4
7 3
10 9
6 4
5 8
2 6
7 5
3 1

Sample Output 3

1 3 5 4 3 3 3 3 1 0



Sample input:
4 4 1
2 1
1 3
3 2
3 4
4 1


Sample output:
0 1 0 1

Submission status: Accepted

Solution code:
n, m, k = map(int, input().split())
 
 
#
# Union-Find(素集合データ構造)
# uf = UnionFind(n)
# https://note.nkmk.me/python-union-find/
#
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 size(self, x):
        return -self.parents[self.find(x)]
 
    def same(self, x, y):
        return self.find(x) == self.find(y)
 
    def members(self, x):
        root = self.find(x)
        return [i for i in range(self.n) if self.find(i) == root]
 
    def roots(self):
        return [i for i, x in enumerate(self.parents) if x < 0]
 
    def group_count(self):
        return len(self.roots())
 
    def all_group_members(self):
        return {r: self.members(r) for r in self.roots()}
 
    def __str__(self):
        return '\n'.join('{}: {}'.format(r, self.members(r)) for r in self.roots())
 
uf = UnionFind(n)
ans = [-1]*n
for i in range(m):
    a, b = list(map(int, input().split()))
    ans[a-1] -= 1
    ans[b-1] -= 1
    uf.union(a-1, b-1)
 
for i in range(k):
    c, d = list(map(int, input().split()))
    if uf.same(c-1,d-1):
        ans[c-1] -= 1
        ans[d-1] -= 1
 
for i in range(n):
    ans[i] += uf.size(i)
print(*ans)

Submission status: Accepted

Solution code:
n, m, k = map(int, input().split())


#
# Union-Find(素集合データ構造)
# uf = UnionFind(n)
# https://note.nkmk.me/python-union-find/
#
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 size(self, x):
        return -self.parents[self.find(x)]

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

    def members(self, x):
        root = self.find(x)
        return [i for i in range(self.n) if self.find(i) == root]

    def roots(self):
        return [i for i, x in enumerate(self.parents) if x < 0]

    def group_count(self):
        return len(self.roots())

    def all_group_members(self):
        return {r: self.members(r) for r in self.roots()}

    def __str__(self):
        return '\n'.join('{}: {}'.format(r, self.members(r)) for r in self.roots())

uf = UnionFind(n)
ans = [-1]*n
for i in range(m):
    a, b = list(map(int, input().split()))
    ans[a-1] -= 1
    ans[b-1] -= 1
    uf.union(a-1, b-1)

for i in range(k):
    c, d = list(map(int, input().split()))
    if uf.same(c-1,d-1):
        ans[c-1] -= 1
        ans[d-1] -= 1

for i in range(n):
    ans[i] += uf.size(i)
print(*ans)

Submission status: Accepted

Solution code:
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
        else:
            if self.parents[x] > self.parents[y]:
                x, y = y, x
            self.parents[x] += self.parents[y]
            self.parents[y] = x 
    
    def size(self, x):
        return -self.parents[self.find(x)]

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


N, M, K = map(int, input().split())
AB = [list(map(int, input().split())) for _ in range(M)]
CD = [list(map(int, input().split())) for _ in range(K)]
ans = [0]*N
uf = UnionFind(N)
 
for a, b in AB:
    uf.union(a-1, b-1)
for i in range(N):
    ans[i] = uf.size(i) - 1
for a, b in AB:
    ans[a-1] -= 1
    ans[b-1] -= 1
for c, d in CD:
    if uf.same(c-1, d-1):
        ans[c-1] -= 1
        ans[d-1] -= 1
print(*ans)

Submission status: Accepted

Solution code:
import sys
input=sys.stdin.readline
 
 
class UnionFind(object):
    def __init__(self, n):
        self.parent={i:i for i in range(1,n+1)}
        self.size={i:1 for i in range(1,n+1)}
    def find(self, a):
        if self.parent[a]!=a:
            self.parent[a]=self.find(self.parent[a])
        return self.parent[a]
    def getsize(self, a):
        return self.size[self.find(a)]
    def unite(self, a, b):
        a=self.find(a)
        b=self.find(b)
        if a==b:return
        if self.size[a]>self.size[b]:
            self.size[a]+=self.size[b]
            self.parent[b]=a
        else:
            self.size[b]+=self.size[a]
            self.parent[a]=b
    def isunited(self, a, b):
        return self.find(a)==self.find(b)
 
 
def solve():
    N, M, K = map(int, input().split())

    uft = UnionFind(N)

    d = {i:set() for i in range(1, N+1)}
    # e:enemy　i番目の人のブロック関係の人数
    e = {i:0 for i in range(1, N+1)}
    # f:friend　i番目の人の友人関係の人数
    f = {i:0 for i in range(1, N+1)}
 
    for _ in range(M):
        A, B = map(int, input().split())
        d[A].add(B)
        d[B].add(A)
        f[A] += 1
        f[B] += 1
        # 友人関係はUnion-Findで
        uft.unite(A, B)
 
    for _ in range(K):
        C, D = map(int, input().split())
        # 同じグループかチェック　＝　友人の友人の…という状態かをチェック
        if uft.isunited(C, D):
            # if not D in d[C]:
            e[C] += 1
            # if not C in d[D]:
            e[D] += 1
 
    print(*(uft.getsize(i)-e[i]-f[i]-1 for i in range(1, N+1)))
 
 
if __name__ == "__main__":
    solve()

Submission status: Accepted

Solution code:
import sys
input = sys.stdin.buffer.readline

class UnionFind:
    __slots__ = ["num", "data"]
    
    def __init__(self, n=0):
        self.num = n
        self.data = [-1]*(n+1)
    
    def root(self, x):
        if self.data[x] < 0:
            return x
        self.data[x] = self.root(self.data[x])
        return self.data[x]
    
    def unite(self, x, y):
        x = self.root(x)
        y = self.root(y)
        if x != y:
            if self.data[x] < self.data[y]:
                self.data[x] += self.data[y]
                self.data[y] = x
            else:
                self.data[y] += self.data[x]
                self.data[x] = y
    
    def same(self, x, y):
        return self.root(x) == self.root(y)
    
    def size(self, x):
        return -self.data[self.root(x)]
    
    def sizes(self):
        return [-self.data[self.root(i)] for i in range(self.num+1)]
                


def main():
    n, m, k = map(int, input().split())
    fb = [0]*(n+1)
    uf = UnionFind(n)
    for _ in range(m):
        a, b = map(int, input().split())
        fb[a] += 1
        fb[b] += 1
        uf.unite(a, b)
    for _ in range(k):
        c, d = map(int, input().split())
        if uf.same(c, d):
            fb[c] += 1
            fb[d] += 1
    size = uf.sizes()
    ans = [size[i]-1-fb[i] for i in range(1, n+1)]
    print(" ".join(list(map(str, ans))))


if __name__ == "__main__":
    main()

Submission status: Accepted

Solution code:
import sys
input = sys.stdin.buffer.readline

class UnionFind:
    __slots__ = ["data"]
    
    def __init__(self, n=0):
        self.data = [-1]*(n+1)
    
    def root(self, x):
        if self.data[x] < 0:
            return x
        self.data[x] = self.root(self.data[x])
        return self.data[x]
    
    def unite(self, x, y):
        x = self.root(x)
        y = self.root(y)
        if x != y:
            if self.data[x] < self.data[y]:
                self.data[x] += self.data[y]
                self.data[y] = x
            else:
                self.data[y] += self.data[x]
                self.data[x] = y
    
    def same(self, x, y):
        return self.root(x) == self.root(y)
    
    def size(self, x):
        return -self.data[self.root(x)]
                


def main():
    n, m, k = map(int, input().split())
    fb = [0]*(n+1)
    uf = UnionFind(n)
    for _ in range(m):
        a, b = map(int, input().split())
        fb[a] += 1
        fb[b] += 1
        uf.unite(a, b)
    for _ in range(k):
        c, d = map(int, input().split())
        if uf.same(c, d):
            fb[c] += 1
            fb[d] += 1
    ans = [uf.size(i)-1-fb[i] for i in range(1, n+1)]
    print(" ".join(list(map(str, ans))))


if __name__ == "__main__":
    main()

Submission status: Accepted

Solution code:
import sys
input = sys.stdin.buffer.readline

class UnionFind:
    __slots__ = ["data"]
    
    def __init__(self, n=0):
        self.data = [-1]*(n+1)
    
    def root(self, x):
        if self.data[x] < 0:
            return x
        self.data[x] = self.root(self.data[x])
        return self.data[x]
    
    def unite(self, x, y):
        x = self.root(x)
        y = self.root(y)
        if x != y:
            if self.data[x] < self.data[y]:
                self.data[x] += self.data[y]
                self.data[y] = x
            else:
                self.data[y] += self.data[x]
                self.data[x] = y
    
    def same(self, x, y):
        return self.root(x) == self.root(y)
    
    def size(self, x):
        return -self.data[self.root(x)]
                


def main():
    n, m, k = map(int, input().split())
    fb = [0]*(n+1)
    uf = UnionFind(n)
    for _ in range(m):
        a, b = map(int, input().split())
        fb[a] += 1
        fb[b] += 1
        uf.unite(a, b)
    for _ in range(k):
        c, d = map(int, input().split())
        if uf.same(c, d):
            fb[c] += 1
            fb[d] += 1
    ans = [uf.size(i)-1-nfb for i, nfb in enumerate(fb[1:], 1)]
    print(" ".join(list(map(str, ans))))


if __name__ == "__main__":
    main()

Submission status: Accepted

Solution code:
import sys
input = sys.stdin.buffer.readline

class UnionFind:
    __slots__ = ["data"]
    
    def __init__(self, n=0):
        self.data = [-1]*(n+1)
    
    def root(self, x):
        if self.data[x] < 0:
            return x
        self.data[x] = self.root(self.data[x])
        return self.data[x]
    
    def unite(self, x, y):
        x = self.root(x)
        y = self.root(y)
        if x != y:
            if self.data[x] < self.data[y]:
                self.data[x] += self.data[y]
                self.data[y] = x
            else:
                self.data[y] += self.data[x]
                self.data[x] = y
    
    def same(self, x, y):
        return self.root(x) == self.root(y)
    
    def size(self, x):
        return -self.data[self.root(x)]
                


def main():
    n, m, k = map(int, input().split())
    fb = [0]*(n+1)
    uf = UnionFind(n)
    ans = []
    for _ in range(m):
        a, b = map(int, input().split())
        fb[a] += 1
        fb[b] += 1
        uf.unite(a, b)
    for _ in range(k):
        c, d = map(int, input().split())
        if uf.same(c, d):
            fb[c] += 1
            fb[d] += 1
    for i, nfb in enumerate(fb[1:], 1):
        ans.append(uf.size(i)-1-nfb)
    print(" ".join(list(map(str, ans))))


if __name__ == "__main__":
    main()

Submission status: Accepted

Solution code:
import sys
input = sys.stdin.buffer.readline

class UnionFind:
    __slots__ = ["data"]
    
    def __init__(self, n=0):
        self.data = [-1]*(n+1)
    
    def root(self, x):
        if self.data[x] < 0:
            return x
        self.data[x] = self.root(self.data[x])
        return self.data[x]
    
    def unite(self, x, y):
        x = self.root(x)
        y = self.root(y)
        if x != y:
            if self.data[x] < self.data[y]:
                self.data[x] += self.data[y]
                self.data[y] = x
            else:
                self.data[y] += self.data[x]
                self.data[x] = y
    
    def same(self, x, y):
        return self.root(x) == self.root(y)
    
    def size(self, x):
        return -self.data[self.root(x)]
                


def main():
    n, m, k = map(int, input().split())
    friends = [0]*(n+1)
    blocks = [0]*(n+1)
    uf = UnionFind(n)
    ans = []
    for _ in range(m):
        a, b = map(int, input().split())
        friends[a] += 1
        friends[b] += 1
        uf.unite(a, b)
    for _ in range(k):
        c, d = map(int, input().split())
        if uf.same(c, d):
            blocks[c] += 1
            blocks[d] += 1
    for i, (nf, nb) in enumerate(zip(friends[1:], blocks[1:]), 1):
        ans.append(uf.size(i)-1-nf-nb)
    print(" ".join(list(map(str, ans))))


if __name__ == "__main__":
    main()

Submission status: Accepted

Solution code:
import sys
input = sys.stdin.buffer.readline

class UnionFind:
    __slots__ = ["data"]
    
    def __init__(self, n=0):
        self.data = [-1]*(n+1)
    
    def root(self, x):
        if self.data[x] < 0:
            return x
        self.data[x] = self.root(self.data[x])
        return self.data[x]
    
    def unite(self, x, y):
        x = self.root(x)
        y = self.root(y)
        if x != y:
            if self.data[x] < self.data[y]:
                self.data[x] += self.data[y]
                self.data[y] = x
            else:
                self.data[y] += self.data[x]
                self.data[x] = y
    
    def same(self, x, y):
        return self.root(x) == self.root(y)
    
    def size(self, x):
        return -self.data[self.root(x)]
                


def main():
    n, m, k = map(int, input().split())
    friends = [0]*(n+1)
    blocks = [0]*(n+1)
    uf = UnionFind(n)
    ans = []
    for _ in range(m):
        a, b = map(int, input().split())
        friends[a] += 1
        friends[b] += 1
        uf.unite(a, b)
    for _ in range(k):
        c, d = map(int, input().split())
        if uf.same(c, d):
            blocks[c] += 1
            blocks[d] += 1
    for i in range(1, n+1):
        ans.append(uf.size(i)-1-friends[i]-blocks[i])
    print(" ".join(list(map(str, ans))))


if __name__ == "__main__":
    main()

Submission status: Accepted

Solution code:
import sys
input = sys.stdin.buffer.readline

class UnionFind:
    def __init__(self, n=0):
        self.data = [-1]*(n+1)
    
    def root(self, x):
        if self.data[x] < 0:
            return x
        self.data[x] = self.root(self.data[x])
        return self.data[x]
    
    def unite(self, x, y):
        x = self.root(x)
        y = self.root(y)
        if x != y:
            if self.data[x] < self.data[y]:
                self.data[x] += self.data[y]
                self.data[y] = x
            else:
                self.data[y] += self.data[x]
                self.data[x] = y
    
    def same(self, x, y):
        return self.root(x) == self.root(y)
    
    def size(self, x):
        return -self.data[self.root(x)]
                


def main():
    n, m, k = map(int, input().split())
    friends = [0]*(n+1)
    blocks = [[] for _ in range(n+1)]
    uf = UnionFind(n)
    ans = []
    for _ in range(m):
        a, b = map(int, input().split())
        friends[a] += 1
        friends[b] += 1
        uf.unite(a, b)
    for _ in range(k):
        c, d = map(int, input().split())
        blocks[c].append(d)
        blocks[d].append(c)
    for i in range(1, n+1):
        nf = friends[i]
        nb = 0
        for b in blocks[i]:
            if uf.same(i, b):
                nb += 1
        ans.append(uf.size(i) - 1 - nf - nb)
    print(" ".join(list(map(str, ans))))


if __name__ == "__main__":
    main()

Submission status: Accepted

Solution code:
import sys
input = sys.stdin.buffer.readline

class UnionFind:
    __slots__ = ["data"]
    
    def __init__(self, n=0):
        self.data = [-1]*(n+1)
    
    def root(self, x):
        if self.data[x] < 0:
            return x
        self.data[x] = self.root(self.data[x])
        return self.data[x]
    
    def unite(self, x, y):
        x = self.root(x)
        y = self.root(y)
        if x != y:
            if self.data[x] < self.data[y]:
                self.data[x] += self.data[y]
                self.data[y] = x
            else:
                self.data[y] += self.data[x]
                self.data[x] = y
    
    def same(self, x, y):
        return self.root(x) == self.root(y)
    
    def size(self, x):
        return -self.data[self.root(x)]
                


def main():
    n, m, k = map(int, input().split())
    friends = [0]*(n+1)
    blocks = [[] for _ in range(n+1)]
    uf = UnionFind(n)
    ans = ""
    for _ in range(m):
        a, b = map(int, input().split())
        friends[a] += 1
        friends[b] += 1
        uf.unite(a, b)
    for _ in range(k):
        c, d = map(int, input().split())
        blocks[c].append(d)
        blocks[d].append(c)
    for i in range(1, n+1):
        nf = friends[i]
        nb = 0
        for b in blocks[i]:
            if uf.same(i, b):
                nb += 1
        ans += "{} ".format(uf.size(i) - 1 - nf - nb)
    print(ans)


if __name__ == "__main__":
    main()

Submission status: Accepted

Solution code:
import sys
input = sys.stdin.buffer.readline

class UnionFind:
    __slots__ = ["data"]
    
    def __init__(self, n=0):
        self.data = [-1]*(n+1)
    
    def root(self, x):
        if self.data[x] < 0:
            return x
        self.data[x] = self.root(self.data[x])
        return self.data[x]
    
    def unite(self, x, y):
        x = self.root(x)
        y = self.root(y)
        if x != y:
            if self.data[x] < self.data[y]:
                self.data[x] += self.data[y]
                self.data[y] = x
            else:
                self.data[y] += self.data[x]
                self.data[x] = y
    
    def same(self, x, y):
        return self.root(x) == self.root(y)
    
    def size(self, x):
        return -self.data[self.root(x)]
                


def main():
    n, m, k = map(int, input().split())
    friends = [0]*(n+1)
    blocks = [[] for _ in range(n+1)]
    uf = UnionFind(n)
    ans = []
    for _ in range(m):
        a, b = map(int, input().split())
        friends[a] += 1
        friends[b] += 1
        uf.unite(a, b)
    for _ in range(k):
        c, d = map(int, input().split())
        blocks[c].append(d)
        blocks[d].append(c)
    for i in range(1, n+1):
        nf = friends[i]
        nb = 0
        for b in blocks[i]:
            if uf.same(i, b):
                nb += 1
        ans.append(uf.size(i) - 1 - nf - nb)
    print(" ".join(list(map(str, ans))))


if __name__ == "__main__":
    main()

Submission status: Accepted

Solution code:
import sys
input = sys.stdin.buffer.readline

class UnionFind:
    __slots__ = ["data"]
    
    def __init__(self, n=0):
        self.data = [-1]*(n+1)
    
    def root(self, x):
        if self.data[x] < 0:
            return x
        self.data[x] = self.root(self.data[x])
        return self.data[x]
    
    def unite(self, x, y):
        x = self.root(x)
        y = self.root(y)
        if x != y:
            if self.data[x] < self.data[y]:
                self.data[x] += self.data[y]
                self.data[y] = x
            else:
                self.data[y] += self.data[x]
                self.data[x] = y
    
    def same(self, x, y):
        return self.root(x) == self.root(y)
    
    def size(self, x):
        return -self.data[self.root(x)]
                


def main():
    n, m, k = map(int, input().split())
    friends = [0]*(n+1)
    blocks = [[] for _ in range(n+1)]
    uf = UnionFind(n)
    for _ in range(m):
        a, b = map(int, input().split())
        friends[a] += 1
        friends[b] += 1
        uf.unite(a, b)
    for _ in range(k):
        c, d = map(int, input().split())
        blocks[c].append(d)
        blocks[d].append(c)
    for i in range(1, n+1):
        nf = friends[i]
        nb = 0
        for b in blocks[i]:
            if uf.same(i, b):
                nb += 1
        ans = uf.size(i) - 1 - nf - nb
        print(ans)


if __name__ == "__main__":
    main()

Submission status: Accepted

Solution code:
import sys
input = sys.stdin.buffer.readline

class UnionFind:
    __slots__ = ["data"]
    
    def __init__(self, n=0):
        self.data = [-1]*(n+1)
    
    def root(self, x):
        if self.data[x] < 0:
            return x
        self.data[x] = self.root(self.data[x])
        return self.data[x]
    
    def unite(self, x, y):
        x = self.root(x)
        y = self.root(y)
        if x != y:
            if self.data[x] < self.data[y]:
                self.data[x] += self.data[y]
                self.data[y] = x
            else:
                self.data[y] += self.data[x]
                self.data[x] = y
    
    def same(self, x, y):
        return self.root(x) == self.root(y)
    
    def size(self, x):
        return -self.data[self.root(x)]
                


def main():
    n, m, k = map(int, input().split())
    friends = [0]*(n+1)
    blocks = [[] for _ in range(n+1)]
    uf = UnionFind(n)
    for _ in range(m):
        a, b = map(int, input().split())
        friends[a] += 1
        friends[b] += 1
        uf.unite(a, b)
    for _ in range(k):
        c, d = map(int, input().split())
        blocks[c].append(d)
        blocks[d].append(c)
    for i in range(1, n+1):
        nf = friends[i]
        nb = sum([uf.same(i, b) for b in blocks[i]])
        ans = uf.size(i) - 1 - nf - nb
        print(ans)


if __name__ == "__main__":
    main()

Submission status: Accepted

Solution code:
import sys
input = sys.stdin.buffer.readline

class UnionFind:
    __slots__ = ["data"]
    
    def __init__(self, n=0):
        self.data = [-1]*(n+1)
    
    def root(self, x):
        if self.data[x] < 0:
            return x
        self.data[x] = self.root(self.data[x])
        return self.data[x]
    
    def unite(self, x, y):
        x = self.root(x)
        y = self.root(y)
        if x != y:
            if self.data[x] < self.data[y]:
                self.data[x] += self.data[y]
                self.data[y] = x
            else:
                self.data[y] += self.data[x]
                self.data[x] = y
    
    def same(self, x, y):
        return self.root(x) == self.root(y)
    
    def size(self, x):
        return -self.data[self.root(x)]
                


def main():
    n, m, k = map(int, input().split())
    friends = [[] for _ in range(n+1)]
    blocks = [[] for _ in range(n+1)]
    uf = UnionFind(n)
    for _ in range(m):
        a, b = map(int, input().split())
        friends[a].append(b)
        friends[b].append(a)
        uf.unite(a, b)
    for _ in range(k):
        c, d = map(int, input().split())
        blocks[c].append(d)
        blocks[d].append(c)
    for i in range(1, n+1):
        nf = len(friends[i])
        nb = sum([uf.same(i, b) for b in blocks[i]])
        ans = uf.size(i) - 1 - nf - nb
        print(ans)


if __name__ == "__main__":
    main()

Submission status: Accepted

Solution code:
import sys
input = sys.stdin.buffer.readline

class UnionFind:
    __slots__ = ["data"]
    
    def __init__(self, n=0):
        self.data = [-1]*(n+1)
    
    def root(self, x):
        if self.data[x] < 0:
            return x
        self.data[x] = self.root(self.data[x])
        return self.data[x]
    
    def unite(self, x, y):
        x = self.root(x)
        y = self.root(y)
        if x != y:
            if self.data[x] < self.data[y]:
                self.data[x] += self.data[y]
                self.data[y] = x
            else:
                self.data[y] += self.data[x]
                self.data[x] = y
    
    def same(self, x, y):
        return self.root(x) == self.root(y)
    
    def size(self, x):
        return -self.data[self.root(x)]
                


def main():
    n, m, k = map(int, input().split())
    friends = [set() for _ in range(n+1)]
    blocks = [set() for _ in range(n+1)]
    uf = UnionFind(n)
    for _ in range(m):
        a, b = map(int, input().split())
        friends[a] |= {b}
        friends[b] |= {a}
        uf.unite(a, b)
    for _ in range(k):
        c, d = map(int, input().split())
        blocks[c] |= {d}
        blocks[d] |= {c}
    for i in range(1, n+1):
        nf = len(friends[i])
        nb = sum([uf.same(i, b) for b in blocks[i]])
        ans = uf.size(i) - 1 - nf - nb
        print(ans)


if __name__ == "__main__":
    main()

Submission status: Accepted

Solution code:
#深さ優先探索
import sys
import collections

n, m ,k= map(int, input().split())
# 入力値をzero-basedにしつつ格納する
pairs = [tuple(map(lambda x: int(x) - 1, input().split()))
         for _ in range(m)]
node=[[] for _ in range(n)]
block=[[] for _ in range(n)]
for p in pairs:
  node[p[0]].append(p[1])
  node[p[1]].append(p[0])
s=0
seen=[None]*n

sys.setrecursionlimit(10**9)
def dfs(v,c):
  seen[v]=c
  for next_v in node[v]:
    if seen[next_v]!=None:
      continue
    else:
      dfs(next_v,c)
      
for i in range(n):
  if seen[i]!=None:
    continue
  else:
    dfs(i,s)
    s+=1

#ブロックについて
for i in range(k):
  c,d=map(lambda x: int(x) - 1, input().split())
  if seen[c]==seen[d]:
    block[c].append(d)
    block[d].append(c)
  
count=collections.Counter(seen)
for i in range(n):
  print(count[seen[i]]-len(node[i])-1-len(block[i]))

Submission status: Accepted

Solution code:
import sys
from collections import deque, Counter, defaultdict
from fractions import gcd
input = lambda: sys.stdin.readline().rstrip()

def eprint(s):
    sys.stderr.write('DEBUG: {}'.format(s))
    return

def main():
    n, m, k = map(int, input().split())
    fgraph = [list() for i in range(n)]
    bgraph = [list() for i in range(n)]
    cgraph = [list() for i in range(n)]
    
    rks = [None] *n
    sys.setrecursionlimit(10**9)
    # r: どの連結成分に存在するかをメモするid
    def dfs(graph,s,r):
        if rks[s] is None:
            rks[s] = r
        for i in range(len(graph[s])):
            if rks[graph[s][i]-1] is not None:
                continue
            dfs(graph, graph[s][i]-1,r)

    for i in range(m):
        a,b = map(int, input().split())
        fgraph[a-1].append(b)
        fgraph[b-1].append(a)

    # print(fgraph)
    #print(bgraph)
    # 連結成分に対してid的なindexをつける
    c = -1
    for i in range(n):
        if rks[i] is None:
            c += 1
            dfs(fgraph, i, c)
    
    for i in range(k):
        c,d = map(int, input().split())
        if rks[c-1] == rks[d-1]:
            bgraph[d-1].append(c)
            bgraph[c-1].append(d)

    counter = Counter(rks)
    for i in range(n):
        # counter[rks[i]] 連結成分のサイズ
        # len(fgraph[i]) 友達の数
        # len(bgraph[i]) 連結成分内のブロックの数
        # 1 自分
        print(counter[rks[i]] - len(fgraph[i]) - len(bgraph[i]) - 1)

if __name__ == '__main__':
    main()

Submission status: Accepted

Solution code:
n,m,k = map(int,input().split())
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 size(self, x):
        return -self.parents[self.find(x)]

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

    def members(self, x):
        root = self.find(x)
        return [i for i in range(self.n) if self.find(i) == root]

    def roots(self):
        return [i for i, x in enumerate(self.parents) if x < 0]

    def group_count(self):
        return len(self.roots())

    def all_group_members(self):
        return {r: self.members(r) for r in self.roots()}

    def __str__(self):
        return '\n'.join('{}: {}'.format(r, self.members(r)) for r in self.roots())
ans = [-1]*n
uf = UnionFind(n)
for i in range(m):
  a,b = map(int,input().split())
  ans[a-1] -= 1
  ans[b-1] -= 1
  uf.union(a-1,b-1)
for i in range(n):
  ans[i] += uf.size(i)
root = [uf.find(i)-1 for i in range(n)]
for i in range(k):
  c,d = map(int,input().split())
  if root[c-1]==root[d-1]:
    ans[c-1] -= 1
    ans[d-1] -= 1
print(*ans)