Buggy python submission (verdict: Runtime Error):
# coding: utf-8
import sys
sysread = sys.stdin.readline
from heapq import heappop, heappush
from collections import defaultdict
sys.setrecursionlimit(10**7)


    N,M,K = map(int,sysread().split())
    to = [[] for _ in range(N+1)]
    n_to = [0 for _ in range(N + 1)]
    for i in range(1,M+1):
        a,b = map(int, sysread().split())
        #a,b = AB[i]
        to[a].append(b)
        n_to[a] += 1
        to[b].append(a)
        n_to[b] += 1

    stack = defaultdict(lambda:0)
    visited = [False] * (N+1)
    belong = [None] * (N+1)


    def dfs(n):
        _stack = [n]
        visited[n] = True
        while _stack:
            node = _stack.pop()
            stack[n] += 1
            belong[node] = n
            for next in to[node]:
                if not visited[next]:
                    _stack.append(next)
                    visited[next] = True
        return None


    for i in range(1,N+1):
        if not visited[i]:
            dfs(i)

    block = [0 for _ in range(N+1)]
    for i in range(1, K+1):
        c,d = map(int, sysread().split())
        #c, d = CD[i]
        if belong[c] == belong[d]:
            block[c] += 1
            block[d] += 1

    candidates = [0] * (N+1)

    for k in range(1,N+1):
        tr = belong[k]
        candidates[k] = stack[tr] - 1 - n_to[k] - block[k]

    print(' '.join(map(str, candidates[1:])))

if __name__ == "__main__":
    run()

Fixed submission:
# coding: utf-8
import sys
sysread = sys.stdin.readline
from collections import defaultdict
sys.setrecursionlimit(10**7)
def run():

    N,M,K = map(int,sysread().split())
    to = [[] for _ in range(N+1)]
    n_to = [0 for _ in range(N + 1)]
    for i in range(1,M+1):
        a,b = map(int, sysread().split())
        #a,b = AB[i]
        to[a].append(b)
        n_to[a] += 1
        to[b].append(a)
        n_to[b] += 1

    stack = defaultdict(lambda:0)
    visited = [False] * (N+1)
    belong = [None] * (N+1)


    def dfs(n):
        _stack = [n]
        visited[n] = True
        while _stack:
            node = _stack.pop()
            stack[n] += 1
            belong[node] = n
            for next in to[node]:
                if not visited[next]:
                    _stack.append(next)
                    visited[next] = True
        return None


    for i in range(1,N+1):
        if not visited[i]:
            dfs(i)

    block = [0 for _ in range(N+1)]
    for i in range(1, K+1):
        c,d = map(int, sysread().split())
        #c, d = CD[i]
        if belong[c] == belong[d]:
            block[c] += 1
            block[d] += 1

    candidates = [0] * (N+1)

    for k in range(1,N+1):
        tr = belong[k]
        candidates[k] = stack[tr] - 1 - n_to[k] - block[k]

    print(' '.join(map(str, candidates[1:])))

if __name__ == "__main__":
    run()

Buggy python submission (verdict: Time Limit Exceeded):
# coding: utf-8
import sys
sysread = sys.stdin.readline
from collections import defaultdict
sys.setrecursionlimit(10**7)
def run():

    N,M,K = map(int,sysread().split())
    to = [[] for _ in range(N+1)]
    n_to = [0 for _ in range(N + 1)]
    for i in range(1,M+1):
        a,b = map(int, sysread().split())
        #a,b = AB[i]
        to[a].append(b)
        n_to[a] += 1
        to[b].append(a)
        n_to[b] += 1

    stack = defaultdict(lambda:0)
    visited = [False] * (N+1)
    belong = [None] * (N+1)


    def dfs(n):
        _stack = [n]
        visited[n] = True
        while _stack:
            node = _stack.pop()
            stack[n] += 1
            belong[node] = n
            for next in to[node]:
                if not visited[next]:
                    _stack.append(next)
                    visited[next] = True
        return None


    for i in range(1,N+1):
        if not visited[i]:
            dfs(i)

    block = [0 for _ in range(N+1)]
    for i in range(1, K+1):
        c,d = map(int, sysread().split())
        #c, d = CD[i]
        if belong[c] == belong[d]:
            block[c] += 1
            block[d] += 1

    candidates = [0] * (N+1)

    for tree in stack.keys():
        for k in range(1,N+1):
            tr = belong[k]
            candidates[k] = stack[tr] - 1 - n_to[k] - block[k]

    print(' '.join(map(str, candidates[1:])))

if __name__ == "__main__":
    run()

Fixed submission:
# coding: utf-8
import sys
sysread = sys.stdin.readline
from collections import defaultdict
sys.setrecursionlimit(10**7)
def run():

    N,M,K = map(int,sysread().split())
    to = [[] for _ in range(N+1)]
    n_to = [0 for _ in range(N + 1)]
    for i in range(1,M+1):
        a,b = map(int, sysread().split())
        #a,b = AB[i]
        to[a].append(b)
        n_to[a] += 1
        to[b].append(a)
        n_to[b] += 1

    stack = defaultdict(lambda:0)
    visited = [False] * (N+1)
    belong = [None] * (N+1)


    def dfs(n):
        _stack = [n]
        visited[n] = True
        while _stack:
            node = _stack.pop()
            stack[n] += 1
            belong[node] = n
            for next in to[node]:
                if not visited[next]:
                    _stack.append(next)
                    visited[next] = True
        return None


    for i in range(1,N+1):
        if not visited[i]:
            dfs(i)

    block = [0 for _ in range(N+1)]
    for i in range(1, K+1):
        c,d = map(int, sysread().split())
        #c, d = CD[i]
        if belong[c] == belong[d]:
            block[c] += 1
            block[d] += 1

    candidates = [0] * (N+1)

    for k in range(1,N+1):
        tr = belong[k]
        candidates[k] = stack[tr] - 1 - n_to[k] - block[k]

    print(' '.join(map(str, candidates[1:])))

if __name__ == "__main__":
    run()

Buggy python submission (verdict: Time Limit Exceeded):
# coding: utf-8
import sys
sysread = sys.stdin.readline
from heapq import heappop, heappush
from collections import defaultdict
sys.setrecursionlimit(10**7)
def run():

    N,M,K = map(int,sysread().split())
    to = [[] for _ in range(N+1)]
    n_to = [0 for _ in range(N + 1)]
    for i in range(1,M+1):
        a,b = map(int, sysread().split())
        #a,b = AB[i]
        to[a].append(b)
        n_to[a] += 1
        to[b].append(a)
        n_to[b] += 1

    stack = defaultdict(lambda:0)
    visited = [False] * (N+1)
    belong = [None] * (N+1)


    def dfs(n):
        _stack = [n]
        visited[n] = True
        while _stack:
            node = _stack.pop()
            stack[n] += 1
            belong[node] = n
            for next in to[node]:
                if not visited[next]:
                    _stack.append(next)
                    visited[next] = True
        return None


    while True:
        k = -1
        for i in range(1,N+1):
            if not visited[i]:
                k = i
                break
        if k == -1:break
        dfs(k)



    block = [0 for _ in range(N+1)]
    for i in range(1, K+1):
        c,d = map(int, sysread().split())
        #c, d = CD[i]
        if belong[c] == belong[d]:
            block[c] += 1
            block[d] += 1

    candidates = [0] * (N+1)

    for tree in stack.keys():
        for k in range(1,N+1):
            tr = belong[k]
            candidates[k] = stack[tr] - 1 - n_to[k] - block[k]

    print(' '.join(map(str, candidates[1:])))

if __name__ == "__main__":
    run()

Fixed submission:
# coding: utf-8
import sys
sysread = sys.stdin.readline
from collections import defaultdict
sys.setrecursionlimit(10**7)
def run():

    N,M,K = map(int,sysread().split())
    to = [[] for _ in range(N+1)]
    n_to = [0 for _ in range(N + 1)]
    for i in range(1,M+1):
        a,b = map(int, sysread().split())
        #a,b = AB[i]
        to[a].append(b)
        n_to[a] += 1
        to[b].append(a)
        n_to[b] += 1

    stack = defaultdict(lambda:0)
    visited = [False] * (N+1)
    belong = [None] * (N+1)


    def dfs(n):
        _stack = [n]
        visited[n] = True
        while _stack:
            node = _stack.pop()
            stack[n] += 1
            belong[node] = n
            for next in to[node]:
                if not visited[next]:
                    _stack.append(next)
                    visited[next] = True
        return None


    for i in range(1,N+1):
        if not visited[i]:
            dfs(i)

    block = [0 for _ in range(N+1)]
    for i in range(1, K+1):
        c,d = map(int, sysread().split())
        #c, d = CD[i]
        if belong[c] == belong[d]:
            block[c] += 1
            block[d] += 1

    candidates = [0] * (N+1)

    for k in range(1,N+1):
        tr = belong[k]
        candidates[k] = stack[tr] - 1 - n_to[k] - block[k]

    print(' '.join(map(str, candidates[1:])))

if __name__ == "__main__":
    run()

Buggy python submission (verdict: Time Limit Exceeded):
# coding: utf-8
import sys
#from operator import itemgetter
sysread = sys.stdin.readline
from heapq import heappop, heappush
from collections import defaultdict
sys.setrecursionlimit(10**7)
def run():

    N,M,K = map(int,sysread().split())
    to = [[] for _ in range(N+1)]
    n_to = [0 for _ in range(N + 1)]
    for i in range(1,M+1):
        a,b = map(int, sysread().split())
        #a,b = AB[i]
        to[a].append(b)
        n_to[a] += 1
        to[b].append(a)
        n_to[b] += 1

    stack = defaultdict(lambda:[])
    visited = [False] * (N+1)
    belong = [None] * (N+1)


    def dfs(n):
        _stack = [n]
        visited[n] = True
        while _stack:
            node = _stack.pop()
            stack[n].append(node)
            belong[node] = n
            for next in to[node]:
                if not visited[next]:
                    _stack.append(next)
                    visited[next] = True
        return None


    while True:
        k = -1
        for i in range(1,N+1):
            if not visited[i]:
                k = i
                break
        if k == -1:break
        dfs(k)



    block = [0 for _ in range(N+1)]
    for i in range(1, K+1):
        c,d = map(int, sysread().split())
        #c, d = CD[i]
        if belong[c] == belong[d]:
            block[c] += 1
            block[d] += 1

    candidates = [0] * (N+1)

    for tree in stack.keys():
        length = len(stack[tree])
        for k in stack[tree]:
            candidates[k] = length - 1 - n_to[k] - block[k]

    print(' '.join(map(str, candidates[1:])))

if __name__ == "__main__":
    run()

Fixed submission:
# coding: utf-8
import sys
sysread = sys.stdin.readline
from collections import defaultdict
sys.setrecursionlimit(10**7)
def run():

    N,M,K = map(int,sysread().split())
    to = [[] for _ in range(N+1)]
    n_to = [0 for _ in range(N + 1)]
    for i in range(1,M+1):
        a,b = map(int, sysread().split())
        #a,b = AB[i]
        to[a].append(b)
        n_to[a] += 1
        to[b].append(a)
        n_to[b] += 1

    stack = defaultdict(lambda:0)
    visited = [False] * (N+1)
    belong = [None] * (N+1)


    def dfs(n):
        _stack = [n]
        visited[n] = True
        while _stack:
            node = _stack.pop()
            stack[n] += 1
            belong[node] = n
            for next in to[node]:
                if not visited[next]:
                    _stack.append(next)
                    visited[next] = True
        return None


    for i in range(1,N+1):
        if not visited[i]:
            dfs(i)

    block = [0 for _ in range(N+1)]
    for i in range(1, K+1):
        c,d = map(int, sysread().split())
        #c, d = CD[i]
        if belong[c] == belong[d]:
            block[c] += 1
            block[d] += 1

    candidates = [0] * (N+1)

    for k in range(1,N+1):
        tr = belong[k]
        candidates[k] = stack[tr] - 1 - n_to[k] - block[k]

    print(' '.join(map(str, candidates[1:])))

if __name__ == "__main__":
    run()

Buggy python submission (verdict: Time Limit Exceeded):
# coding: utf-8
import sys
sysread = sys.stdin.readline
from heapq import heappop, heappush
from collections import defaultdict
sys.setrecursionlimit(10**6)
def run():
    N,M,K = map(int,sysread().split())
    to = [[] for _ in range(N+1)]
    n_to = [0 for _ in range(N + 1)]
    for i in range(1,M+1):
        a,b = map(int, sysread().split())
        to[a].append(b)
        n_to[a] += 1
        to[b].append(a)
        n_to[b] += 1

    stack = defaultdict(lambda:[])
    visited = [False] * (N+1)
    belong = [None] * (N+1)

    def dfs(n, tree= None):
        visited[n] = True
        if tree==None:
            tree = n
        stack[tree].append(n)
        belong[n] = tree
        for next in to[n]:
            if not visited[next]:
                dfs(next, tree)
        return None

    while True:
        k = -1
        for i in range(1,N+1):
            if not visited[i]:
                k = i
                break
        if k == -1:break
        dfs(k)

    block = [0 for _ in range(N+1)]
    for i in range(1, K+1):
        c,d = map(int, sysread().split())
        if belong[c] == belong[d]:
            block[c] += 1
            block[d] += 1

    candidates = [0] * (N+1)

    for tree in stack.keys():
        length = len(stack[tree])
        for k in stack[tree]:
            candidates[k] = length - 1 - n_to[k] - block[k]

    print(' '.join(map(str, candidates[1:])))

if __name__ == "__main__":
    run()

Fixed submission:
# coding: utf-8
import sys
sysread = sys.stdin.readline
from collections import defaultdict
sys.setrecursionlimit(10**7)
def run():

    N,M,K = map(int,sysread().split())
    to = [[] for _ in range(N+1)]
    n_to = [0 for _ in range(N + 1)]
    for i in range(1,M+1):
        a,b = map(int, sysread().split())
        #a,b = AB[i]
        to[a].append(b)
        n_to[a] += 1
        to[b].append(a)
        n_to[b] += 1

    stack = defaultdict(lambda:0)
    visited = [False] * (N+1)
    belong = [None] * (N+1)


    def dfs(n):
        _stack = [n]
        visited[n] = True
        while _stack:
            node = _stack.pop()
            stack[n] += 1
            belong[node] = n
            for next in to[node]:
                if not visited[next]:
                    _stack.append(next)
                    visited[next] = True
        return None


    for i in range(1,N+1):
        if not visited[i]:
            dfs(i)

    block = [0 for _ in range(N+1)]
    for i in range(1, K+1):
        c,d = map(int, sysread().split())
        #c, d = CD[i]
        if belong[c] == belong[d]:
            block[c] += 1
            block[d] += 1

    candidates = [0] * (N+1)

    for k in range(1,N+1):
        tr = belong[k]
        candidates[k] = stack[tr] - 1 - n_to[k] - block[k]

    print(' '.join(map(str, candidates[1:])))

if __name__ == "__main__":
    run()

Buggy python submission (verdict: Time Limit Exceeded):
# coding: utf-8
import sys
sysread = sys.stdin.readline
from heapq import heappop, heappush
from collections import defaultdict
sys.setrecursionlimit(10**6)
def run():

    N,M,K = map(int,sysread().split())
    to = [[] for _ in range(N+1)]
    for i in range(1,M+1):
        a,b = map(int, sysread().split())
        to[a].append(b)
        to[b].append(a)


    stack = defaultdict(lambda:[])
    visited = [False] * (N+1)
    belong = [None] * (N+1)

    def dfs(n, tree= None):
        visited[n] = True
        if tree==None:
            tree = n
        stack[tree].append(n)
        belong[n] = tree
        for next in to[n]:
            if not visited[next]:
                dfs(next, tree)
        return None

    while True:
        k = -1
        for i in range(1,N+1):
            if not visited[i]:
                k = i
                break
        if k == -1:break
        dfs(k)

    block = [[] for _ in range(N+1)]
    for i in range(1, K+1):
        c,d = map(int, sysread().split())
        if belong[c] == belong[d]:
            block[c].append(d)
            block[d].append(c)

    candidates = [0] * (N+1)

    for tree in stack.keys():
        length = len(stack[tree])
        for k in stack[tree]:
            candidates[k] = length - 1 - len(to[k]) - len(block[k])

    print(' '.join(map(str, candidates[1:])))

if __name__ == "__main__":
    run()

Fixed submission:
# coding: utf-8
import sys
sysread = sys.stdin.readline
from collections import defaultdict
sys.setrecursionlimit(10**7)
def run():

    N,M,K = map(int,sysread().split())
    to = [[] for _ in range(N+1)]
    n_to = [0 for _ in range(N + 1)]
    for i in range(1,M+1):
        a,b = map(int, sysread().split())
        #a,b = AB[i]
        to[a].append(b)
        n_to[a] += 1
        to[b].append(a)
        n_to[b] += 1

    stack = defaultdict(lambda:0)
    visited = [False] * (N+1)
    belong = [None] * (N+1)


    def dfs(n):
        _stack = [n]
        visited[n] = True
        while _stack:
            node = _stack.pop()
            stack[n] += 1
            belong[node] = n
            for next in to[node]:
                if not visited[next]:
                    _stack.append(next)
                    visited[next] = True
        return None


    for i in range(1,N+1):
        if not visited[i]:
            dfs(i)

    block = [0 for _ in range(N+1)]
    for i in range(1, K+1):
        c,d = map(int, sysread().split())
        #c, d = CD[i]
        if belong[c] == belong[d]:
            block[c] += 1
            block[d] += 1

    candidates = [0] * (N+1)

    for k in range(1,N+1):
        tr = belong[k]
        candidates[k] = stack[tr] - 1 - n_to[k] - block[k]

    print(' '.join(map(str, candidates[1:])))

if __name__ == "__main__":
    run()

Buggy python submission (verdict: Time Limit Exceeded):
# coding: utf-8
import sys
sysread = sys.stdin.readline
from heapq import heappop, heappush
from collections import defaultdict
sys.setrecursionlimit(10**6)
def run():

    N,M,K = map(int,sysread().split())
    to = [[] for _ in range(N+1)]
    for i in range(1,M+1):
        a,b = map(int, sysread().split())
        to[a].append(b)
        to[b].append(a)


    stack = defaultdict(lambda:[])
    visited = [False] * (N+1)
    belong = [None] * (N+1)

    def dfs(n, tree= None):
        visited[n] = True
        if tree==None:
            tree = n
        stack[tree].append(n)
        belong[n] = tree
        for next in to[n]:
            if not visited[next]:
                dfs(next, tree)
        return None

    block = [[] for _ in range(N+1)]
    for i in range(1, K+1):
        c,d = map(int, sysread().split())
        if belong[c] == belong[d]:
            block[c].append(d)
            block[d].append(c)

    while True:
        k = -1
        for i in range(1,N+1):
            if not visited[i]:
                k = i
                break
        if k == -1:break
        dfs(k)

    candidates = [0] * (N+1)

    for tree in stack.keys():
        for k in stack[tree]:
            check_list = to[k] + block[k] + [k]
            s = [k_ for k_ in stack[tree] if not k_ in check_list]
            candidates[k] = len(s)

    print(' '.join(map(str, candidates[1:])))

if __name__ == "__main__":
    run()

Fixed submission:
# coding: utf-8
import sys
sysread = sys.stdin.readline
from collections import defaultdict
sys.setrecursionlimit(10**7)
def run():

    N,M,K = map(int,sysread().split())
    to = [[] for _ in range(N+1)]
    n_to = [0 for _ in range(N + 1)]
    for i in range(1,M+1):
        a,b = map(int, sysread().split())
        #a,b = AB[i]
        to[a].append(b)
        n_to[a] += 1
        to[b].append(a)
        n_to[b] += 1

    stack = defaultdict(lambda:0)
    visited = [False] * (N+1)
    belong = [None] * (N+1)


    def dfs(n):
        _stack = [n]
        visited[n] = True
        while _stack:
            node = _stack.pop()
            stack[n] += 1
            belong[node] = n
            for next in to[node]:
                if not visited[next]:
                    _stack.append(next)
                    visited[next] = True
        return None


    for i in range(1,N+1):
        if not visited[i]:
            dfs(i)

    block = [0 for _ in range(N+1)]
    for i in range(1, K+1):
        c,d = map(int, sysread().split())
        #c, d = CD[i]
        if belong[c] == belong[d]:
            block[c] += 1
            block[d] += 1

    candidates = [0] * (N+1)

    for k in range(1,N+1):
        tr = belong[k]
        candidates[k] = stack[tr] - 1 - n_to[k] - block[k]

    print(' '.join(map(str, candidates[1:])))

if __name__ == "__main__":
    run()

Buggy python submission (verdict: Time Limit Exceeded):
# coding: utf-8
import sys
sysread = sys.stdin.readline
from collections import defaultdict
sys.setrecursionlimit(10**6)
def run():

    N,M,K = map(int,sysread().split())
    to = [[] for _ in range(N+1)]
    for i in range(1,M+1):
        a,b = map(int, sysread().split())
        to[a].append(b)
        to[b].append(a)
    block = [[] for _ in range(N+1)]
    for i in range(1, K+1):
        c,d = map(int, sysread().split())
        block[c].append(d)
        block[d].append(c)

    stack = defaultdict(lambda:[])
    visited = [False] * (N+1)

    def dfs(n, tree= None):
        visited[n] = True
        if tree==None:
            tree = n
        stack[tree].append(n)
        for next in to[n]:
            if not visited[next]:
                dfs(next, tree)
        return None

    while True:
        k = -1
        for i in range(1,N+1):
            if not visited[i]:
                k = i
                break
        if k == -1:break
        dfs(k)

    candidates = [0] * (N+1)

    for tree in stack.keys():
        for k in stack[tree]:
            check_list = to[k] + block[k] + [k]
            s = [k_ for k_ in stack[tree] if not k_ in check_list]
            candidates[k] = len(s)

    print(' '.join(map(str, candidates[1:])))

if __name__ == "__main__":
    run()

Fixed submission:
# coding: utf-8
import sys
sysread = sys.stdin.readline
from collections import defaultdict
sys.setrecursionlimit(10**7)
def run():

    N,M,K = map(int,sysread().split())
    to = [[] for _ in range(N+1)]
    n_to = [0 for _ in range(N + 1)]
    for i in range(1,M+1):
        a,b = map(int, sysread().split())
        #a,b = AB[i]
        to[a].append(b)
        n_to[a] += 1
        to[b].append(a)
        n_to[b] += 1

    stack = defaultdict(lambda:0)
    visited = [False] * (N+1)
    belong = [None] * (N+1)


    def dfs(n):
        _stack = [n]
        visited[n] = True
        while _stack:
            node = _stack.pop()
            stack[n] += 1
            belong[node] = n
            for next in to[node]:
                if not visited[next]:
                    _stack.append(next)
                    visited[next] = True
        return None


    for i in range(1,N+1):
        if not visited[i]:
            dfs(i)

    block = [0 for _ in range(N+1)]
    for i in range(1, K+1):
        c,d = map(int, sysread().split())
        #c, d = CD[i]
        if belong[c] == belong[d]:
            block[c] += 1
            block[d] += 1

    candidates = [0] * (N+1)

    for k in range(1,N+1):
        tr = belong[k]
        candidates[k] = stack[tr] - 1 - n_to[k] - block[k]

    print(' '.join(map(str, candidates[1:])))

if __name__ == "__main__":
    run()

Buggy python submission (verdict: Time Limit Exceeded):
# coding: utf-8
import sys
sysread = sys.stdin.readline
from heapq import heappop, heappush
from collections import defaultdict
sys.setrecursionlimit(10**6)
def run():

    N,M,K = map(int,sysread().split())
    to = [[] for _ in range(N+1)]
    for i in range(1,M+1):
        a,b = map(int, sysread().split())
        to[a].append(b)
        to[b].append(a)
    block = [[] for _ in range(N+1)]
    for i in range(1, K+1):
        c,d = map(int, sysread().split())
        block[c].append(d)
        block[d].append(c)

    stack = defaultdict(lambda:[])
    visited = [False] * (N+1)

    def dfs(n, tree= None):
        visited[n] = True
        if tree==None:
            tree = n
        stack[tree].append(n)
        for next in to[n]:
            if not visited[next]:
                dfs(next, tree)
        return None

    while True:
        k = -1
        for i in range(1,N+1):
            if not visited[i]:
                k = i
                break
        if k == -1:break
        dfs(k)

    candidates = [0] * (N+1)

    for tree in stack.keys():
        for k in stack[tree]:
            check_list = to[k] + block[k] + [k]
            for k_ in stack[tree]:
                if not k_ in check_list:
                    candidates[k] += 1

    print(' '.join(map(str, candidates[1:])))

if __name__ == "__main__":
    run()

Fixed submission:
# coding: utf-8
import sys
sysread = sys.stdin.readline
from collections import defaultdict
sys.setrecursionlimit(10**7)
def run():

    N,M,K = map(int,sysread().split())
    to = [[] for _ in range(N+1)]
    n_to = [0 for _ in range(N + 1)]
    for i in range(1,M+1):
        a,b = map(int, sysread().split())
        #a,b = AB[i]
        to[a].append(b)
        n_to[a] += 1
        to[b].append(a)
        n_to[b] += 1

    stack = defaultdict(lambda:0)
    visited = [False] * (N+1)
    belong = [None] * (N+1)


    def dfs(n):
        _stack = [n]
        visited[n] = True
        while _stack:
            node = _stack.pop()
            stack[n] += 1
            belong[node] = n
            for next in to[node]:
                if not visited[next]:
                    _stack.append(next)
                    visited[next] = True
        return None


    for i in range(1,N+1):
        if not visited[i]:
            dfs(i)

    block = [0 for _ in range(N+1)]
    for i in range(1, K+1):
        c,d = map(int, sysread().split())
        #c, d = CD[i]
        if belong[c] == belong[d]:
            block[c] += 1
            block[d] += 1

    candidates = [0] * (N+1)

    for k in range(1,N+1):
        tr = belong[k]
        candidates[k] = stack[tr] - 1 - n_to[k] - block[k]

    print(' '.join(map(str, candidates[1:])))

if __name__ == "__main__":
    run()

Buggy python submission (verdict: Runtime Error):
# coding: utf-8
import sys
sysread = sys.stdin.readline
from collections import defaultdict

def run():

    N,M,K = map(int,sysread().split())
    to = [[] for _ in range(N+1)]
    for i in range(1,M+1):
        a,b = map(int, sysread().split())
        to[a].append(b)
        to[b].append(a)
    block = [[] for _ in range(N+1)]
    for i in range(1, K+1):
        c,d = map(int, sysread().split())
        block[c].append(d)
        block[d].append(c)

    stack = defaultdict(lambda:[])
    visited = [False] * (N+1)

    def dfs(n, tree= None):
        visited[n] = True
        if tree==None:
            tree = n
        stack[tree].append(n)
        for next in to[n]:
            if not visited[next]:
                dfs(next, tree)
        return None

    while True:
        k = -1
        for i in range(1,N+1):
            if not visited[i]:
                k = i
                break
        if k == -1:break
        dfs(k)

    candidates = [0] * (N+1)

    for tree in stack.keys():
        for k in stack[tree]:
            check_list = to[k] + block[k] + [k]
            for k_ in stack[tree]:
                if not k_ in check_list:
                    candidates[k] += 1

    print(' '.join(map(str, candidates[1:])))

if __name__ == "__main__":
    run()

Fixed submission:
# coding: utf-8
import sys
sysread = sys.stdin.readline
from collections import defaultdict
sys.setrecursionlimit(10**7)
def run():

    N,M,K = map(int,sysread().split())
    to = [[] for _ in range(N+1)]
    n_to = [0 for _ in range(N + 1)]
    for i in range(1,M+1):
        a,b = map(int, sysread().split())
        #a,b = AB[i]
        to[a].append(b)
        n_to[a] += 1
        to[b].append(a)
        n_to[b] += 1

    stack = defaultdict(lambda:0)
    visited = [False] * (N+1)
    belong = [None] * (N+1)


    def dfs(n):
        _stack = [n]
        visited[n] = True
        while _stack:
            node = _stack.pop()
            stack[n] += 1
            belong[node] = n
            for next in to[node]:
                if not visited[next]:
                    _stack.append(next)
                    visited[next] = True
        return None


    for i in range(1,N+1):
        if not visited[i]:
            dfs(i)

    block = [0 for _ in range(N+1)]
    for i in range(1, K+1):
        c,d = map(int, sysread().split())
        #c, d = CD[i]
        if belong[c] == belong[d]:
            block[c] += 1
            block[d] += 1

    candidates = [0] * (N+1)

    for k in range(1,N+1):
        tr = belong[k]
        candidates[k] = stack[tr] - 1 - n_to[k] - block[k]

    print(' '.join(map(str, candidates[1:])))

if __name__ == "__main__":
    run()