結果
問題 | No.776 A Simple RMQ Problem |
ユーザー | mkawa2 |
提出日時 | 2022-03-01 11:20:06 |
言語 | PyPy3 (7.3.15) |
結果 |
TLE
|
実行時間 | - |
コード長 | 6,864 bytes |
コンパイル時間 | 263 ms |
コンパイル使用メモリ | 82,176 KB |
実行使用メモリ | 87,680 KB |
最終ジャッジ日時 | 2024-07-07 15:13:23 |
合計ジャッジ時間 | 7,994 ms |
ジャッジサーバーID (参考情報) |
judge3 / judge4 |
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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 | 38 ms
59,264 KB |
testcase_01 | AC | 38 ms
53,888 KB |
testcase_02 | TLE | - |
testcase_03 | -- | - |
testcase_04 | -- | - |
testcase_05 | -- | - |
testcase_06 | -- | - |
testcase_07 | -- | - |
testcase_08 | -- | - |
testcase_09 | -- | - |
testcase_10 | -- | - |
testcase_11 | -- | - |
testcase_12 | -- | - |
testcase_13 | -- | - |
testcase_14 | -- | - |
testcase_15 | -- | - |
testcase_16 | -- | - |
testcase_17 | -- | - |
testcase_18 | -- | - |
testcase_19 | -- | - |
testcase_20 | -- | - |
testcase_21 | -- | - |
testcase_22 | -- | - |
testcase_23 | -- | - |
testcase_24 | -- | - |
testcase_25 | -- | - |
testcase_26 | -- | - |
testcase_27 | -- | - |
ソースコード
import sys # sys.setrecursionlimit(200005) int1 = lambda x: int(x)-1 pDB = lambda *x: print(*x, end="\n", file=sys.stderr) p2D = lambda x: print(*x, sep="\n", end="\n\n", file=sys.stderr) def II(): return int(sys.stdin.readline()) def LI(): return list(map(int, sys.stdin.readline().split())) def LLI(rows_number): return [LI() for _ in range(rows_number)] def LI1(): return list(map(int1, sys.stdin.readline().split())) def LLI1(rows_number): return [LI1() for _ in range(rows_number)] def SI(): return sys.stdin.readline().rstrip() dij = [(0, 1), (-1, 0), (0, -1), (1, 0)] # dij = [(0, 1), (-1, 0), (0, -1), (1, 0), (1, 1), (1, -1), (-1, 1), (-1, -1)] inf = (1 << 63)-1 # inf = (1 << 31)-1 # md = 10**9+7 md = 998244353 class LazySegTree: def __init__(self, op, e, mapping, composition, _id, v): 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 = (self._n-1).bit_length() self._size = 1 << self._log self._d = [self._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, x): 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): p += self._size for i in range(self._log, 0, -1): self._push(p >> i) return self._d[p] def prod(self, left, right): 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): return self._d[1] def apply(self, left, right, f): if right is None: p = left 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: 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, g): 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, g): 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): self._d[k] = self._op(self._d[2*k], self._d[2*k+1]) def _all_apply(self, k, f): 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): self._all_apply(2*k, self._lz[k]) self._all_apply(2*k+1, self._lz[k]) self._lz[k] = self._id def mapping(f, x): return f+x def composition(f, g): return f+g from itertools import accumulate n, q = LI() aa = LI() cs = [0]+list(accumulate(aa)) mxs = LazySegTree(max, -inf, mapping, composition, 0, cs) mns = LazySegTree(min, inf, mapping, composition, 0, cs) for _ in range(q): t, *data = SI().split() if t == "set": i, x = map(int, data) i -= 1 mxs.apply(i+1, n+1, x-aa[i]) aa[i] = x else: l1, l2, r1, r2 = map(int, data) l1, l2, r2 = l1-1, l2, r2+1 ans = -inf if l1 < r1: ans = max(ans, mxs.prod(r1, r2)-mns.prod(l1, min(l2, r1))) if l2 < r2: ans = max(ans, mxs.prod(max(l2, r1), r2)-mns.prod(l1, l2)) L = max(l1, r1) R = min(l2, r2) st = [] if R-L > 1: st.append((L, R)) while st: l, r = st.pop() m = (l+r)//2 ans = max(ans, mxs.prod(m, r)-mns.prod(l, m)) if m-l > 1: st.append((l, m)) if r-m > 1: st.append((m, r)) print(ans)