#986878 (PyPy3) No.2780 The Bottle Imp

• 問題: No.2780 The Bottle Imp
• ユーザー: 寝癖
• 提出日時: 2024-06-07 22:18:29
• 言語: PyPy3 (7.3.15)
• 結果: WA
• 実行時間: -
• コード長: 3,732 bytes
• コンパイル時間: 334 ms
• コンパイル使用メモリ: 82,196 KB
• 実行使用メモリ: 269,840 KB
• 最終ジャッジ日時: 2024-12-27 13:56:55
• 合計ジャッジ時間: 13,946 ms
• ジャッジサーバーID （参考情報）: judge1 / judge5

ファイルパターン	結果
sample	AC * 4
other	AC * 34 WA * 6

ソースコード

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import sys
import typing
class CSR:
    def __init__(
            self, n: int, edges: typing.List[typing.Tuple[int, int]]) -> None:
        self.start = [0] * (n + 1)
        self.elist = [0] * len(edges)
        for e in edges:
            self.start[e[0] + 1] += 1
        for i in range(1, n + 1):
            self.start[i] += self.start[i - 1]
        counter = self.start.copy()
        for e in edges:
            self.elist[counter[e[0]]] = e[1]
            counter[e[0]] += 1
class _SCCGraph:
    '''
    Reference:
    R. Tarjan,
    Depth-First Search and Linear Graph Algorithms
    '''
    def __init__(self, n: int) -> None:
        self._n = n
        self._edges: typing.List[typing.Tuple[int, int]] = []
    def num_vertices(self) -> int:
        return self._n
    def add_edge(self, from_vertex: int, to_vertex: int) -> None:
        self._edges.append((from_vertex, to_vertex))
    def scc_ids(self) -> typing.Tuple[int, typing.List[int]]:
        g = CSR(self._n, self._edges)
        now_ord = 0
        group_num = 0
        visited = []
        low = [0] * self._n
        order = [-1] * self._n
        ids = [0] * self._n
        sys.setrecursionlimit(max(self._n + 1000, sys.getrecursionlimit()))
        def dfs(v: int) -> None:
            nonlocal now_ord
            nonlocal group_num
            nonlocal visited
            nonlocal low
            nonlocal order
            nonlocal ids
            low[v] = now_ord
            order[v] = now_ord
            now_ord += 1
            visited.append(v)
            for i in range(g.start[v], g.start[v + 1]):
                to = g.elist[i]
                if order[to] == -1:
                    dfs(to)
                    low[v] = min(low[v], low[to])
                else:
                    low[v] = min(low[v], order[to])
            if low[v] == order[v]:
                while True:
                    u = visited[-1]
                    visited.pop()
                    order[u] = self._n
                    ids[u] = group_num
                    if u == v:
                        break
                group_num += 1
        for i in range(self._n):
            if order[i] == -1:
                dfs(i)
        for i in range(self._n):
            ids[i] = group_num - 1 - ids[i]
        return group_num, ids
    def scc(self) -> typing.List[typing.List[int]]:
        ids = self.scc_ids()
        group_num = ids[0]
        counts = [0] * group_num
        for x in ids[1]:
            counts[x] += 1
        groups: typing.List[typing.List[int]] = [[] for _ in range(group_num)]
        for i in range(self._n):
            groups[ids[1][i]].append(i)
        return groups
class SCCGraph:
    def __init__(self, n: int = 0) -> None:
        self._internal = _SCCGraph(n)
    def add_edge(self, from_vertex: int, to_vertex: int) -> None:
        n = self._internal.num_vertices()
        assert 0 <= from_vertex < n
        assert 0 <= to_vertex < n
        self._internal.add_edge(from_vertex, to_vertex)
    def scc(self) -> typing.List[typing.List[int]]:
        return self._internal.scc()
N = int(input())
M, A = [], []
scc = SCCGraph(N)
for i in range(N):
    m, *a = map(lambda x: int(x)-1, input().split())
    M.append(m)
    A.append(a)
    for j in a:
        scc.add_edge(i, j)
scc = scc.scc()
label = [-1]*N
for i, l in enumerate(scc):
    for j in l:
        label[j] = i
to = [set() for _ in range(len(scc))]
for i in range(N):
    for j in A[i]:
        if label[i] != label[j]:
            to[label[i]].add(label[j])
cnt_one = sum(len(x) == 1 for x in to)
cnt_zero = sum(len(x) == 0 for x in to)
if cnt_one == len(scc) - 1 and cnt_zero == 1:
    print("Yes")
else:
    print("No")
 
 
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