結果

問題 No.2630 Colorful Vertices and Cheapest Paths
ユーザー rlangevin
提出日時 2024-02-16 22:01:01
言語 PyPy3
(7.3.15)
結果
TLE  
実行時間 -
コード長 2,702 bytes
コンパイル時間 370 ms
コンパイル使用メモリ 82,484 KB
実行使用メモリ 162,440 KB
最終ジャッジ日時 2024-09-28 20:19:09
合計ジャッジ時間 26,539 ms
ジャッジサーバーID
(参考情報)
judge1 / judge5
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ファイルパターン 結果
other AC * 21 TLE * 1
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ソースコード

diff #
プレゼンテーションモードにする

import sys
input = sys.stdin.readline
#https://github.com/not522/ac-library-python/blob/master/atcoder/dsu.py
import typing
class DSU:
'''
Implement (union by size) + (path halving)
Reference:
Zvi Galil and Giuseppe F. Italiano,
Data structures and algorithms for disjoint set union problems
'''
def __init__(self, n: int = 0) -> None:
self._n = n
self.parent_or_size = [-1] * n
def merge(self, a: int, b: int) -> int:
assert 0 <= a < self._n
assert 0 <= b < self._n
x = self.leader(a)
y = self.leader(b)
if x == y:
return x
if -self.parent_or_size[x] < -self.parent_or_size[y]:
x, y = y, x
self.parent_or_size[x] += self.parent_or_size[y]
self.parent_or_size[y] = x
return x
def same(self, a: int, b: int) -> bool:
assert 0 <= a < self._n
assert 0 <= b < self._n
return self.leader(a) == self.leader(b)
def leader(self, a: int) -> int:
assert 0 <= a < self._n
parent = self.parent_or_size[a]
while parent >= 0:
if self.parent_or_size[parent] < 0:
return parent
self.parent_or_size[a], a, parent = (
self.parent_or_size[parent],
self.parent_or_size[parent],
self.parent_or_size[self.parent_or_size[parent]]
)
return a
def size(self, a: int) -> int:
assert 0 <= a < self._n
return -self.parent_or_size[self.leader(a)]
def groups(self) -> typing.List[typing.List[int]]:
leader_buf = [self.leader(i) for i in range(self._n)]
result: typing.List[typing.List[int]] = [[] for _ in range(self._n)]
for i in range(self._n):
result[leader_buf[i]].append(i)
return list(filter(lambda r: r, result))
N, M = map(int, input().split())
A, B = [-1] * M, [-1] * M
for i in range(M):
A[i], B[i] = map(int, input().split())
A[i], B[i] = A[i] - 1, B[i] - 1
C = list(map(int, input().split()))
for i in range(N):
C[i] -= 1
W = list(map(int, input().split()))
K = 1 << 10
U = [DSU(N) for _ in range(K)]
cost = [0] * K
for s in range(K):
for i in range(M):
if ((s >> C[A[i]]) & 1) and ((s >> C[B[i]]) & 1):
U[s].merge(A[i], B[i])
for i in range(10):
if (s >> i) & 1:
cost[s] += W[i]
Q = int(input())
inf = 10 ** 18
for _ in range(Q):
ans = inf
u, v = map(int, input().split())
u, v = u - 1, v - 1
for i in range(K):
if U[i].same(u, v):
ans = min(ans, cost[i])
print(ans) if ans != inf else print(-1)
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