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17471.py
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70 lines (50 loc) · 1.39 KB
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from collections import deque
from itertools import combinations
def bfs(x, g, visited):
visited[x] = True
q = deque([x])
while q:
a = q.popleft()
for node in graph[a]:
if not visited[node] and node in g:
q.append(node)
visited[node] = True
n = int(input())
population = [0] + list(map(int, input().split()))
graph = [[] for _ in range(n + 1)]
for i in range(n):
edge_num, *nodes = list(map(int, input().split()))
graph[i + 1] = nodes
min_diff = int(1e12)
can_be_divided = False
for i in range(1, n // 2 + 1):
for g1 in combinations(range(1, n + 1), i):
g2 = set(range(1, n + 1)) - set(g1)
g2 = list(g2)
v1 = [False] * (n + 1)
v2 = [False] * (n + 1)
bfs(g1[0], g1, v1)
bfs(g2[0], g2, v2)
flag_1 = False
for node in g1:
if not v1[node]:
flag_1 = True
break
if flag_1:
continue
flag_2 = False
for node in g2:
if not v2[node]:
flag_2 = True
break
if flag_2:
continue
can_be_divided = True
temp_diff = abs(
sum([population[n1] for n1 in g1]) - sum([population[n2] for n2 in g2])
)
min_diff = min(min_diff, temp_diff)
if can_be_divided:
print(min_diff)
else:
print(-1)