結果
問題 | No.877 Range ReLU Query |
ユーザー | norioc |
提出日時 | 2024-06-11 05:59:57 |
言語 | PyPy3 (7.3.15) |
結果 |
AC
|
実行時間 | 1,745 ms / 2,000 ms |
コード長 | 5,070 bytes |
コンパイル時間 | 254 ms |
コンパイル使用メモリ | 82,444 KB |
実行使用メモリ | 199,756 KB |
最終ジャッジ日時 | 2024-06-11 06:00:14 |
合計ジャッジ時間 | 17,439 ms |
ジャッジサーバーID (参考情報) |
judge3 / judge5 |
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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 | 57 ms
68,480 KB |
testcase_01 | AC | 124 ms
79,488 KB |
testcase_02 | AC | 123 ms
79,268 KB |
testcase_03 | AC | 146 ms
79,488 KB |
testcase_04 | AC | 81 ms
73,216 KB |
testcase_05 | AC | 106 ms
78,336 KB |
testcase_06 | AC | 113 ms
78,588 KB |
testcase_07 | AC | 107 ms
78,872 KB |
testcase_08 | AC | 159 ms
79,708 KB |
testcase_09 | AC | 70 ms
73,856 KB |
testcase_10 | AC | 130 ms
79,488 KB |
testcase_11 | AC | 1,664 ms
197,244 KB |
testcase_12 | AC | 1,478 ms
186,784 KB |
testcase_13 | AC | 1,268 ms
140,556 KB |
testcase_14 | AC | 1,194 ms
138,968 KB |
testcase_15 | AC | 1,590 ms
196,672 KB |
testcase_16 | AC | 1,601 ms
196,048 KB |
testcase_17 | AC | 1,745 ms
192,944 KB |
testcase_18 | AC | 1,672 ms
199,756 KB |
testcase_19 | AC | 558 ms
194,268 KB |
testcase_20 | AC | 1,298 ms
194,784 KB |
ソースコード
import typing import sys input = sys.stdin.readline 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]) from bisect import bisect_right from itertools import accumulate, islice # ソート済みリスト a, b をマージ def merge(a: list, b: list) -> list: na, nb = len(a), len(b) pa = pb = 0 res = [] while pa < na and pb < nb: if a[pa] <= b[pb]: res.append(a[pa]) pa += 1 else: res.append(b[pb]) pb += 1 res.extend(a[pa:na]) res.extend(b[pb:nb]) return res # 構築用 class D: def __init__(self, xs): self.xs = xs # ソート済みリスト self.acc = list(accumulate(xs)) # \sum max(a_i - x, 0) を返す def sum(self, x) -> int: p = bisect_right(self.xs, x) s = self.acc[-1] if p > 0: s -= self.acc[p-1] # x 以下は 0 扱い s -= x * (len(self.xs) - p) # x 以上は個数分の x を引く return s def get_sum(self) -> int: return self.sum(target) # クエリ用 class S: def __init__(self, sum): self.sum = sum # x 以下の総和 def get_sum(self) -> int: return self.sum # 構築用 def op_build(a: D, b: D) -> D: return D(merge(a.xs, b.xs)) # クエリ用 def op_query(a: D | S, b: D | S) -> S: return S(a.get_sum() + b.get_sum()) INF = 1 << 60 N, Q = map(int, input().split()) A = list(map(int, input().split())) target = 0 # 検索する値 segt = SegTree(op_build, D([0]), [D([a]) for a in A]) segt._op = op_query # クエリ用に差し替え for _ in range(Q): _, l, r, x = map(int, input().split()) l -= 1 target = x res = segt.prod(l, r).get_sum() print(res)