結果

問題 No.768 Tapris and Noel play the game on Treeone
ユーザー 草苺奶昔草苺奶昔
提出日時 2023-03-28 02:38:56
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 297 ms / 2,000 ms
コード長 2,816 bytes
コンパイル時間 164 ms
コンパイル使用メモリ 82,376 KB
実行使用メモリ 113,856 KB
最終ジャッジ日時 2024-09-19 19:33:26
合計ジャッジ時間 6,555 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge2
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 62 ms
69,244 KB
testcase_01 AC 60 ms
68,524 KB
testcase_02 AC 61 ms
68,608 KB
testcase_03 AC 88 ms
78,260 KB
testcase_04 AC 95 ms
78,376 KB
testcase_05 AC 92 ms
77,872 KB
testcase_06 AC 78 ms
74,836 KB
testcase_07 AC 222 ms
93,908 KB
testcase_08 AC 176 ms
86,220 KB
testcase_09 AC 193 ms
88,256 KB
testcase_10 AC 173 ms
85,964 KB
testcase_11 AC 281 ms
102,260 KB
testcase_12 AC 284 ms
102,336 KB
testcase_13 AC 281 ms
101,796 KB
testcase_14 AC 275 ms
101,972 KB
testcase_15 AC 297 ms
101,864 KB
testcase_16 AC 295 ms
100,844 KB
testcase_17 AC 290 ms
101,964 KB
testcase_18 AC 281 ms
113,856 KB
testcase_19 AC 286 ms
111,260 KB
testcase_20 AC 271 ms
108,368 KB
testcase_21 AC 265 ms
104,236 KB
20evil_special_uni1.txt AC 300 ms
102,924 KB
20evil_special_uni2.txt AC 278 ms
101,776 KB
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ソースコード

diff # 

from typing import Callable, Generic, List, TypeVar

T = TypeVar("T")


class Rerooting(Generic[T]):

    __slots__ = ("adjList", "_n", "_decrement")

    def __init__(self, n: int, decrement: int = 0):
        self.adjList = [[] for _ in range(n)]
        self._n = n
        self._decrement = decrement

    def addEdge(self, u: int, v: int) -> None:
        u -= self._decrement
        v -= self._decrement
        self.adjList[u].append(v)
        self.adjList[v].append(u)

    def rerooting(
        self,
        e: Callable[[int], T],
        op: Callable[[T, T], T],
        composition: Callable[[T, int, int, int], T],
        root=0,
    ) -> List["T"]:
        root -= self._decrement
        assert 0 <= root < self._n
        parents = [-1] * self._n
        order = [root]
        stack = [root]
        while stack:
            cur = stack.pop()
            for next in self.adjList[cur]:
                if next == parents[cur]:
                    continue
                parents[next] = cur
                order.append(next)
                stack.append(next)

        dp1 = [e(i) for i in range(self._n)]
        dp2 = [e(i) for i in range(self._n)]
        for cur in order[::-1]:
            res = e(cur)
            for next in self.adjList[cur]:
                if parents[cur] == next:
                    continue
                dp2[next] = res
                res = op(res, composition(dp1[next], cur, next, 0))
            res = e(cur)
            for next in self.adjList[cur][::-1]:
                if parents[cur] == next:
                    continue
                dp2[next] = op(res, dp2[next])
                res = op(res, composition(dp1[next], cur, next, 0))
            dp1[cur] = res

        for newRoot in order[1:]:
            parent = parents[newRoot]
            dp2[newRoot] = composition(op(dp2[newRoot], dp2[parent]), parent, newRoot, 1)
            dp1[newRoot] = op(dp1[newRoot], dp2[newRoot])
        return dp1


if __name__ == "__main__":
    n = int(input())
    edges = []
    for _ in range(n - 1):
        u, v = map(int, input().split())
        edges.append((u - 1, v - 1))

    E = int  # 当前节点是否构成子树的最大匹配, 0: 不参与, 1: 参与

    def e(root: int) -> E:
        return 0

    def op(childRes1: E, childRes2: E) -> E:
        return childRes1 | childRes2

    def composition(fromRes: E, parent: int, cur: int, direction: int) -> E:
        """direction: 0: cur -> parent, 1: parent -> cur"""
        return fromRes ^ 1  # 孩子参与匹配则父亲不参与, 反之成立

    R = Rerooting(n)
    for u, v in edges:
        R.addEdge(u, v)

    dp = R.rerooting(e=e, op=op, composition=composition, root=0)
    res = [i for i in range(n) if dp[i] == 0]
    print(len(res))
    for i in res:
        print(i + 1)
0