結果

問題 No.386 貪欲な領主
ユーザー ntuda
提出日時 2024-07-27 15:46:22
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 787 ms / 2,000 ms
コード長 4,339 bytes
コンパイル時間 566 ms
コンパイル使用メモリ 82,532 KB
実行使用メモリ 220,896 KB
最終ジャッジ日時 2024-07-27 15:46:31
合計ジャッジ時間 7,187 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge4
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ファイルパターン 結果
other AC * 16
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 # 

import sys
sys.setrecursionlimit(100050)

def _ceil_pow2(n: int) -> int:
    x = 0
    while (1 << x) < n:
        x += 1
    return x


def _bsf(n: int) -> int:
    x = 0
    while n % 2 == 0:
        x += 1
        n //= 2
    return x


import typing


class SegTree:
    def __init__(self,
                 op: typing.Callable[[typing.Any, typing.Any], typing.Any],
                 e: typing.Any,
                 v: typing.Union[int, typing.List[typing.Any]]) -> None:
        self._op = op
        self._e = e

        if isinstance(v, int):
            v = [e] * v

        self._n = len(v)
        self._log = _ceil_pow2(self._n)
        self._size = 1 << self._log
        self._d = [e] * (2 * self._size)

        for i in range(self._n):
            self._d[self._size + i] = v[i]
        for i in range(self._size - 1, 0, -1):
            self._update(i)

    def set(self, p: int, x: typing.Any) -> None:
        assert 0 <= p < self._n

        p += self._size
        self._d[p] = x
        for i in range(1, self._log + 1):
            self._update(p >> i)

    def get(self, p: int) -> typing.Any:
        assert 0 <= p < self._n

        return self._d[p + self._size]

    def prod(self, left: int, right: int) -> typing.Any:
        assert 0 <= left <= right <= self._n
        sml = self._e
        smr = self._e
        left += self._size
        right += self._size

        while left < right:
            if left & 1:
                sml = self._op(sml, self._d[left])
                left += 1
            if right & 1:
                right -= 1
                smr = self._op(self._d[right], smr)
            left >>= 1
            right >>= 1

        return self._op(sml, smr)

    def all_prod(self) -> typing.Any:
        return self._d[1]

    def max_right(self, left: int,
                  f: typing.Callable[[typing.Any], bool]) -> int:
        assert 0 <= left <= self._n
        assert f(self._e)

        if left == self._n:
            return self._n

        left += self._size
        sm = self._e

        first = True
        while first or (left & -left) != left:
            first = False
            while left % 2 == 0:
                left >>= 1
            if not f(self._op(sm, self._d[left])):
                while left < self._size:
                    left *= 2
                    if f(self._op(sm, self._d[left])):
                        sm = self._op(sm, self._d[left])
                        left += 1
                return left - self._size
            sm = self._op(sm, self._d[left])
            left += 1

        return self._n

    def min_left(self, right: int,
                 f: typing.Callable[[typing.Any], bool]) -> int:
        assert 0 <= right <= self._n
        assert f(self._e)

        if right == 0:
            return 0

        right += self._size
        sm = self._e

        first = True
        while first or (right & -right) != right:
            first = False
            right -= 1
            while right > 1 and right % 2:
                right >>= 1
            if not f(self._op(self._d[right], sm)):
                while right < self._size:
                    right = 2 * right + 1
                    if f(self._op(self._d[right], sm)):
                        sm = self._op(self._d[right], sm)
                        right -= 1
                return right + 1 - self._size
            sm = self._op(self._d[right], sm)

        return 0

    def _update(self, k: int) -> None:
        self._d[k] = self._op(self._d[2 * k], self._d[2 * k + 1])


N = int(input())
AB = [list(map(int, input().split())) for _ in range(N - 1)]
U = [int(input()) for _ in range(N)]
M = int(input())
ABC = [list(map(int, input().split())) for _ in range(M)]

E = [[] for _ in range(N)]
for a, b in AB:
    E[a].append(b)
    E[b].append(a)

C = [-1] * N
C[0] = U[0]
base = [(0,0)]
fa = [0] * N

def dfs(x, d):
    for y in E[x]:
        if C[y] == -1:
            fa[y] = len(base)
            C[y] = C[x] + U[y]
            base.append((d + 1, y))
            dfs(y, d + 1)
            base.append((d, x))

INF = N
dfs(0, 0)
st = SegTree(min, (INF,0), base)
ans = 0
for a, b, c in ABC:
    faa = fa[a]
    fab = fa[b]
    if faa > fab:
        faa,fab = fab,faa
    _, lca = st.prod(faa, fab)
    ans += (C[a] + C[b] - 2 * C[lca] + U[lca]) * c
print(ans)
0