結果

問題 No.1023 Cyclic Tour
ユーザー rlangevin
提出日時 2024-02-03 01:38:31
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 976 ms / 2,000 ms
コード長 3,046 bytes
コンパイル時間 593 ms
コンパイル使用メモリ 82,560 KB
実行使用メモリ 261,760 KB
最終ジャッジ日時 2024-09-28 10:44:04
合計ジャッジ時間 27,213 ms
ジャッジサーバーID
(参考情報)
judge2 / judge4
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 4
other AC * 49
権限があれば一括ダウンロードができます

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
sys.setrecursionlimit(10**7)
class DirectedGraph():
def __init__(self, N):
self.N = N
self.G = [[] for i in range(N)]
self.rG = [[] for i in range(N)]
self.order = []
self.used1 = [0] * N
self.used2 = [0] * N
self.group = [-1] * N
self.label = 0
def add_edge(self, u, v):
self.G[u].append(v)
self.rG[v].append(u)
def dfs(self, s):
self.used1[s] = 1
for u in self.G[s]:
if self.used1[u]:
continue
self.dfs(u)
self.order.append(s)
def rdfs(self, s, num):
self.group[s] = num
self.used2[s] = 1
for u in self.rG[s]:
if self.used2[u]:
continue
self.rdfs(u, num)
def scc(self):
for i in range(self.N):
if self.used1[i]:
continue
self.dfs(i)
for s in reversed(self.order):
if self.used2[s]:
continue
self.rdfs(s, self.label)
self.label += 1
return self.label, self.group
def construct(self):
nG = [set() for _ in range(self.label)]
mem = [[] for i in range(self.label)]
for s in range(self.N):
now = self.group[s]
for u in self.G[s]:
if now == self.group[u]:
continue
nG[now].add(self.group[u])
mem[now].append(s)
return nG, mem
class UnionFind(object):
def __init__(self, n=1):
self.par = [i for i in range(n)]
self.rank = [0 for _ in range(n)]
self.size = [1 for _ in range(n)]
def find(self, x):
if self.par[x] == x:
return x
else:
self.par[x] = self.find(self.par[x])
return self.par[x]
def union(self, x, y):
x = self.find(x)
y = self.find(y)
if x != y:
if self.rank[x] < self.rank[y]:
x, y = y, x
if self.rank[x] == self.rank[y]:
self.rank[x] += 1
self.par[y] = x
self.size[x] += self.size[y]
def is_same(self, x, y):
return self.find(x) == self.find(y)
def get_size(self, x):
x = self.find(x)
return self.size[x]
N, M = map(int, input().split())
G = DirectedGraph(N)
A, B, C = [-1] * M, [-1] * M, [-1] * M
U = UnionFind(N)
for i in range(M):
A[i], B[i], C[i] = map(int, input().split())
A[i], B[i] = A[i] - 1, B[i] - 1
if C[i] == 1:
if U.is_same(A[i], B[i]):
print("Yes")
exit()
U.union(A[i], B[i])
for i in range(M):
if C[i] == 1:
continue
a, b = U.find(A[i]), U.find(B[i])
if a == b:
print("Yes")
exit()
G.add_edge(a, b)
G.scc()
nG, mem = G.construct()
for m in mem:
if len(m) >= 2:
print("Yes")
exit()
print("No")
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