結果

問題 No.386 貪欲な領主
ユーザー ntudantuda
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
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
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 #
プレゼンテーションモードにする

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)
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