結果
| 問題 | No.2242 Cities and Teleporters |
| コンテスト | |
| ユーザー |
norioc
|
| 提出日時 | 2026-05-04 03:48:14 |
| 言語 | PyPy3 (7.3.17) |
| 結果 |
TLE
|
| 実行時間 | - |
| コード長 | 5,398 bytes |
| 記録 | |
| コンパイル時間 | 197 ms |
| コンパイル使用メモリ | 85,632 KB |
| 実行使用メモリ | 318,320 KB |
| 最終ジャッジ日時 | 2026-05-04 03:48:35 |
| 合計ジャッジ時間 | 6,458 ms |
|
ジャッジサーバーID (参考情報) |
judge2_0 / judge1_0 |
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| ファイルパターン | 結果 |
|---|---|
| other | AC * 5 TLE * 1 -- * 20 |
ソースコード
import typing
def _ceil_pow2(n: int) -> int:
x = 0
while (1 << x) < n:
x += 1
return x
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])
class Doubling:
def __init__(self, xs: list, nb=60):
size = len(xs)
doubling = [[0] * size for _ in range(nb)]
for i in range(size):
doubling[0][i] = xs[i]
for k in range(nb-1):
for i in range(size):
doubling[k+1][i] = doubling[k][doubling[k][i]]
self.nb = nb
self.doubling = doubling
def query(self, k: int, start: int) -> int:
cur = start
for i in range(self.nb):
if k & (1 << i):
cur = self.doubling[i][cur]
return cur
from bisect import bisect_right
from itertools import accumulate
N = int(input())
H = list(map(int, input().split()))
T = list(map(int, input().split()))
Q = int(input())
cities = [(h, t, i) for i, (h, t) in enumerate(zip(H, T))]
cities.sort()
acc = list(accumulate([(t, i) for _, t, i in cities], func=max))
# print(f'{acc=}')
# exit()
segt = SegTree(max, (0, 0), [(t, i) for _, t, i in cities])
nexts = []
for i in range(N):
# 街 i の次への遷移を求める
# テレポート可能な街のうち、最も h の高い街を求める
p = bisect_right(cities, T[i], key=lambda x: x[0])
if p == 0: # どこにも移動出来ない
nexts.append(i)
else:
# t, ci = segt.prod(0, p)
t, ci = acc[p-1]
if t > T[i]:
nexts.append(ci) # テレポートするとより高く移動できる
else:
nexts.append(i) # 現状より高い位置に移動出来ない
d = Doubling(nexts)
for _ in range(Q):
A, B = map(lambda x: int(x)-1, input().split())
k = 10**18
ci = d.query(k, A)
# 街 B の高さに届かない
if H[B] > T[ci]:
print(-1)
continue
lo = 0
hi = k
res = k
while lo <= hi:
m = (lo + hi) // 2
ci = d.query(m, A)
if T[ci] >= H[B]:
res = min(res, m)
hi = m - 1
else:
lo = m + 1
print(res+1)
norioc