結果
| 問題 | No.1234 典型RMQ |
| コンテスト | |
| ユーザー |
 norioc
|
| 提出日時 | 2026-06-15 05:04:48 |
| 言語 | PyPy3 (7.3.17) |
| 結果 |
AC
|
| 実行時間 | 467 ms / 2,000 ms |
| コード長 | 7,875 bytes |
| 記録 | |
| コンパイル時間 | 211 ms |
| コンパイル使用メモリ | 85,376 KB |
| 実行使用メモリ | 101,120 KB |
| 最終ジャッジ日時 | 2026-06-15 05:05:03 |
| 合計ジャッジ時間 | 12,027 ms |
|
ジャッジサーバーID （参考情報） |
judge1_1 / judge2_1 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 27 |
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 LazySegTree:
def __init__(
self,
op: typing.Callable[[typing.Any, typing.Any], typing.Any],
e: typing.Any,
mapping: typing.Callable[[typing.Any, typing.Any], typing.Any],
composition: typing.Callable[[typing.Any, typing.Any], typing.Any],
id_: typing.Any,
v: typing.Union[int, typing.List[typing.Any]]) -> None:
self._op = op
self._e = e
self._mapping = mapping
self._composition = composition
self._id = id_
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)
self._lz = [self._id] * 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
for i in range(self._log, 0, -1):
self._push(p >> i)
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
p += self._size
for i in range(self._log, 0, -1):
self._push(p >> i)
return self._d[p]
def prod(self, left: int, right: int) -> typing.Any:
assert 0 <= left <= right <= self._n
if left == right:
return self._e
left += self._size
right += self._size
for i in range(self._log, 0, -1):
if ((left >> i) << i) != left:
self._push(left >> i)
if ((right >> i) << i) != right:
self._push(right >> i)
sml = self._e
smr = self._e
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 apply(self, left: int, right: typing.Optional[int] = None,
f: typing.Optional[typing.Any] = None) -> None:
assert f is not None
if right is None:
p = left
assert 0 <= left < self._n
p += self._size
for i in range(self._log, 0, -1):
self._push(p >> i)
self._d[p] = self._mapping(f, self._d[p])
for i in range(1, self._log + 1):
self._update(p >> i)
else:
assert 0 <= left <= right <= self._n
if left == right:
return
left += self._size
right += self._size
for i in range(self._log, 0, -1):
if ((left >> i) << i) != left:
self._push(left >> i)
if ((right >> i) << i) != right:
self._push((right - 1) >> i)
l2 = left
r2 = right
while left < right:
if left & 1:
self._all_apply(left, f)
left += 1
if right & 1:
right -= 1
self._all_apply(right, f)
left >>= 1
right >>= 1
left = l2
right = r2
for i in range(1, self._log + 1):
if ((left >> i) << i) != left:
self._update(left >> i)
if ((right >> i) << i) != right:
self._update((right - 1) >> i)
def max_right(
self, left: int, g: typing.Callable[[typing.Any], bool]) -> int:
assert 0 <= left <= self._n
assert g(self._e)
if left == self._n:
return self._n
left += self._size
for i in range(self._log, 0, -1):
self._push(left >> i)
sm = self._e
first = True
while first or (left & -left) != left:
first = False
while left % 2 == 0:
left >>= 1
if not g(self._op(sm, self._d[left])):
while left < self._size:
self._push(left)
left *= 2
if g(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, g: typing.Any) -> int:
assert 0 <= right <= self._n
assert g(self._e)
if right == 0:
return 0
right += self._size
for i in range(self._log, 0, -1):
self._push((right - 1) >> i)
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 g(self._op(self._d[right], sm)):
while right < self._size:
self._push(right)
right = 2 * right + 1
if g(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])
def _all_apply(self, k: int, f: typing.Any) -> None:
self._d[k] = self._mapping(f, self._d[k])
if k < self._size:
self._lz[k] = self._composition(f, self._lz[k])
def _push(self, k: int) -> None:
self._all_apply(2 * k, self._lz[k])
self._all_apply(2 * k + 1, self._lz[k])
self._lz[k] = self._id
def RangeAddRangeMinLST(xs: list[int]):
# 値データ
Data = int
# 遅延データ
Lazy = int
# 値データを合成
def op(a: Data, b: Data) -> Data:
return min(a, b)
# 遅延データを値データに反映 : f(x)
def mapping(f: Lazy, x: Data) -> Data:
return f + x
# 遅延データを伝搬
# 二つの遅延データを合成 : (f . g)
def composition(f: Lazy, g: Lazy) -> Lazy:
return f + g
class C:
def __init__(self, xs: list[int]):
# 単位元 e : 全ての a に対して op(a, e) = op(e, a) = a を満たす
# 恒等写像 id : 全ての a に対して mapping(id, a) = a を満たす
self.segt = LazySegTree(
op=op,
e=INF,
mapping=mapping,
composition=composition,
id_=0,
v=xs)
def range_add(self, l: int, r: int, x: int):
"""区間 [l, r) に x を加算する"""
self.segt.apply(l, r, x)
def range_min(self, l: int, r: int) -> int:
"""区間 [l, r) の最小値を求める"""
return self.segt.prod(l, r)
return C(xs)
INF = 1 << 62
N = int(input())
A = list(map(int, input().split()))
segt = RangeAddRangeMinLST(A)
Q = int(input())
for _ in range(Q):
qs = list(map(int, input().split()))
match qs:
case (1, L, R, C):
L -= 1
R -= 1
segt.range_add(L, R+1, C)
case (2, L, R, _):
L -= 1
R -= 1
res = segt.range_min(L, R+1)
print(res)