結果

問題 No.1418 Sum of Sum of Subtree Size
ユーザー 草苺奶昔草苺奶昔
提出日時 2023-03-13 19:13:26
言語 PyPy3
(7.3.15)
結果
RE  
実行時間 -
コード長 2,756 bytes
コンパイル時間 308 ms
コンパイル使用メモリ 81,692 KB
実行使用メモリ 104,368 KB
最終ジャッジ日時 2024-09-18 07:40:41
合計ジャッジ時間 11,950 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge4
このコードへのチャレンジ
（要ログイン）

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
68,484 KB
testcase_01 AC 61 ms
67,324 KB
testcase_02 AC 66 ms
67,104 KB
testcase_03 AC 413 ms
101,176 KB
testcase_04 AC 416 ms
100,840 KB
testcase_05 AC 420 ms
100,472 KB
testcase_06 AC 394 ms
100,964 KB
testcase_07 AC 398 ms
100,684 KB
testcase_08 AC 313 ms
93,876 KB
testcase_09 AC 214 ms
85,312 KB
testcase_10 AC 218 ms
87,116 KB
testcase_11 AC 177 ms
82,556 KB
testcase_12 AC 284 ms
91,168 KB
testcase_13 AC 294 ms
90,524 KB
testcase_14 AC 298 ms
92,948 KB
testcase_15 AC 278 ms
89,692 KB
testcase_16 AC 167 ms
80,452 KB
testcase_17 AC 156 ms
80,148 KB
testcase_18 AC 399 ms
96,296 KB
testcase_19 AC 181 ms
81,876 KB
testcase_20 AC 151 ms
79,508 KB
testcase_21 AC 256 ms
88,620 KB
testcase_22 AC 242 ms
87,804 KB
testcase_23 AC 144 ms
79,288 KB
testcase_24 AC 146 ms
79,420 KB
testcase_25 AC 140 ms
79,960 KB
testcase_26 AC 147 ms
79,496 KB
testcase_27 AC 90 ms
77,800 KB
testcase_28 AC 116 ms
79,064 KB
testcase_29 AC 152 ms
80,388 KB
testcase_30 AC 150 ms
79,976 KB
testcase_31 AC 135 ms
79,700 KB
testcase_32 AC 135 ms
79,640 KB
testcase_33 RE -
testcase_34 RE -
testcase_35 RE -
testcase_36 AC 128 ms
80,408 KB
testcase_37 AC 272 ms
104,368 KB
testcase_38 AC 269 ms
103,700 KB
testcase_39 AC 63 ms
67,600 KB
testcase_40 AC 63 ms
68,524 KB
testcase_41 AC 62 ms
67,788 KB
testcase_42 AC 62 ms
67,752 KB
testcase_43 AC 63 ms
67,884 KB
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 # 

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


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

def op(childRes1: int, childRes2: int) -> int:
    return childRes1 + childRes2

def composition(fromRes: int, parent: int, cur: int, direction: int) -> int:
    if direction == 0:  # cur -> parent
        return fromRes + subSize[cur]
    return fromRes + (n - subSize[cur])  # parent -> cur

def dfsForSubSize(cur: int, parent: int) -> int:
    res = 1
    for next in R.adjList[cur]:
        if next != parent:
            res += dfsForSubSize(next, cur)
    subSize[cur] = res
    return res

n = int(input())
R = Rerooting(n)
for _ in range(n - 1):
    u, v = map(int, input().split())
    R.addEdge(u - 1, v - 1)

subSize = [0] * n
dfsForSubSize(0, -1)
dp = R.rerooting(e=e, op=op, composition=composition, root=0)
print(sum(dp) + n * n)
0