結果
| 問題 | No.3507 RangeSum RangeUpdate RangeSqrt |
| コンテスト | |
| ユーザー |
 zawakasu
|
| 提出日時 | 2026-04-17 23:42:37 |
| 言語 | C++23 (gcc 15.2.0 + boost 1.89.0) |
| 結果 |
AC
|
| 実行時間 | 1,638 ms / 2,000 ms |
| コード長 | 12,367 bytes |
| 記録 | |
| コンパイル時間 | 1,956 ms |
| コンパイル使用メモリ | 224,308 KB |
| 実行使用メモリ | 37,760 KB |
| 最終ジャッジ日時 | 2026-04-17 23:43:15 |
| 合計ジャッジ時間 | 29,082 ms |
|
ジャッジサーバーID （参考情報） |
judge3_1 / judge2_0 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 1 |
| other | AC * 29 |
ソースコード
#include <iostream>
#include <iomanip>
#include <cassert>
#include <vector>
#include <algorithm>
#include <utility>
#include <numeric>
#include <tuple>
#include <ranges>
#include <random>
// #include "Src/Number/IntegerDivision.hpp"
// #include "Src/Utility/BinarySearch.hpp"
// #include "Src/Sequence/CompressedSequence.hpp"
// #include "Src/Sequence/RunLengthEncoding.hpp"
// #include "Src/Algebra/Group/AdditiveGroup.hpp"
// #include "Src/DataStructure/FenwickTree/FenwickTree.hpp"
// #include "Src/DataStructure/SegmentTree/SegmentTree.hpp"
// #include "Src/DataStructure/DisjointSetUnion/DisjointSetUnion.hpp"
// #include "Src/DataStructure/Heap/BinaryHeap.hpp"
#include <cstdint>
#include <cstddef>
namespace zawa {
using i16 = std::int16_t;
using i32 = std::int32_t;
using i64 = std::int64_t;
using i128 = __int128_t;
using u8 = std::uint8_t;
using u16 = std::uint16_t;
using u32 = std::uint32_t;
using u64 = std::uint64_t;
using usize = std::size_t;
} // namespace zawa
#include <concepts>
namespace zawa {
namespace concepts {
template <class T>
concept Semigroup = requires {
typename T::Element;
{ T::operation(std::declval<typename T::Element>(), std::declval<typename T::Element>()) } -> std::same_as<typename T::Element>;
};
} // namespace concepts
} // namespace zawa
namespace zawa {
namespace concepts {
template <class T>
concept Identitiable = requires {
typename T::Element;
{ T::identity() } -> std::same_as<typename T::Element>;
};
template <class T>
concept Monoid = Semigroup<T> and Identitiable<T>;
} // namespace
} // namespace zawa
namespace zawa {
namespace concepts {
template <class T>
concept MonoidWithAction = requires {
requires Monoid<typename T::ValueMonoid>;
requires Monoid<typename T::OperatorMonoid>;
{ T::mapping(
std::declval<typename T::ValueMonoid::Element>(),
std::declval<typename T::OperatorMonoid::Element>()
) } -> std::same_as<typename T::ValueMonoid::Element>;
};
} // namespace concepts
} // namespace zawa
#include <bit>
namespace zawa {
template <concepts::MonoidWithAction S>
class LazySegmentTree {
public:
using VM = S::ValueMonoid;
using V = typename VM::Element;
using OM = S::OperatorMonoid;
using O = typename OM::Element;
LazySegmentTree() = default;
explicit LazySegmentTree(usize n)
: m_n{n}, m_sz{1u << (std::bit_width(n))}, m_dat(m_sz << 1, VM::identity()), m_lazy(m_sz << 1, OM::identity()) {}
explicit LazySegmentTree(const std::vector<V>& a)
: m_n{a.size()}, m_sz{1u << (std::bit_width(a.size()))}, m_dat(m_sz << 1, VM::identity()), m_lazy(m_sz << 1, OM::identity()) {
std::ranges::copy(a, m_dat.begin() + inner_size());
for (usize i = inner_size() ; --i ; ) recalc(i);
}
[[nodiscard]] inline usize size() const noexcept {
return m_n;
}
[[nodiscard]] V operator[](usize i) {
assert(i < size());
return get(i, 1, 0, inner_size());
}
[[nodiscard]] V get(usize i) {
return (*this)[i];
}
[[nodiscard]] V product(usize l, usize r) {
assert(l <= r and r <= size());
return product(l, r, 1, 0, inner_size());
}
void operation(usize l, usize r, const O& o) {
assert(l <= r and r <= size());
return operation(l, r, o, 1, 0, inner_size());
}
void assign(usize i, const V& v) {
assert(i < size());
assign(i, v, 1, 0, inner_size());
}
void operation(usize i, const O& o) {
assert(i < size());
operation(i, o, 1, 0, inner_size());
}
private:
using NodeInfo = std::tuple<usize, usize, usize>;
public:
template <class F>
requires std::predicate<F, V>
usize maxRight(usize l, F f) {
assert(l <= size());
if (!f(VM::identity())) return l;
if (l == size()) return size();
std::vector<NodeInfo> ranges;
partition_range(l, size(), ranges, 1, 0, inner_size());
V prod = VM::identity();
for (auto [nd, nl, nr] : ranges) {
if (!f(VM::operation(prod, m_dat[nd]))) {
return maxRight(f, prod, nd, nl, nr);
}
else {
prod = VM::operation(prod, m_dat[nd]);
}
}
return size();
}
template <class F>
requires std::predicate<F, V>
usize minLeft(usize r, F f) {
assert(r <= size());
if (!f(VM::identity())) return r;
if (!r) return 0;
std::vector<NodeInfo> ranges;
partition_range(0, r, ranges, 1, 0, inner_size());
V prod = VM::identity();
for (auto [nd, nl, nr] : ranges | std::views::reverse) {
if (!f(VM::operation(m_dat[nd], prod))) {
return minLeft(f, prod, nd, nl, nr);
}
else {
prod = VM::operation(prod, m_dat[nd]);
}
}
return 0;
}
private:
usize m_n{}, m_sz{};
std::vector<V> m_dat;
std::vector<O> m_lazy;
inline usize inner_size() const noexcept {
return m_sz;
}
void recalc(usize nd) {
// assert(nd < inner_size());
m_dat[nd] = VM::operation(m_dat[nd << 1 | 0], m_dat[nd << 1 | 1]);
}
void propagate(usize nd) {
// assert(nd < inner_size());
for (usize ch : {nd << 1 | 0, nd << 1 | 1}) {
m_dat[ch] = S::mapping(m_dat[ch], m_lazy[nd]);
m_lazy[ch] = OM::operation(m_lazy[ch], m_lazy[nd]);
}
m_lazy[nd] = OM::identity();
}
V product(usize ql, usize qr, usize nd, usize nl, usize nr) {
if (qr <= nl or nr <= ql) return VM::identity();
if (ql <= nl and nr <= qr) return m_dat[nd];
propagate(nd);
const usize m = (nl + nr) >> 1;
return VM::operation(
product(ql, qr, nd << 1 | 0, nl, m),
product(ql, qr, nd << 1 | 1, m, nr)
);
}
V get(usize i, usize nd, usize nl, usize nr) {
if (nd >= inner_size()) return m_dat[nd];
propagate(nd);
const usize m = (nl + nr) >> 1;
return i < m ? get(i, nd << 1 | 0, nl, m) : get(i, nd << 1 | 1, m, nr);
}
void operation(usize ql, usize qr, const O& o, usize nd, usize nl, usize nr) {
if (qr <= nl or nr <= ql) return;
if (ql <= nl and nr <= qr) {
m_dat[nd] = S::mapping(m_dat[nd], o);
m_lazy[nd] = OM::operation(m_lazy[nd], o);
return;
}
propagate(nd);
const usize m = (nl + nr) >> 1;
operation(ql, qr, o, nd << 1 | 0, nl, m);
operation(ql, qr, o, nd << 1 | 1, m, nr);
recalc(nd);
}
void operation(usize i, const O& o, usize nd, usize nl, usize nr) {
if (nl == i and i + 1 == nr) {
m_dat[nd] = S::mapping(m_dat[nd], o);
return;
}
propagate(nd);
const usize m = (nl + nr) >> 1;
i < m ? operation(i, o, nd << 1 | 0, nl, m) : operation(i, o, nd << 1 | 1, m, nr);
recalc(nd);
}
void assign(usize i, const V& v, usize nd, usize nl, usize nr) {
if (nl == i and i + 1 == nr) {
m_dat[nd] = v;
return;
}
propagate(nd);
const usize m = (nl + nr) >> 1;
i < m ? assign(i, v, nd << 1 | 0, nl, m) : assign(i, v, nd << 1 | 1, m, nr);
recalc(nd);
}
void partition_range(usize ql, usize qr, std::vector<NodeInfo>& res, usize nd, usize nl, usize nr) {
if (qr <= nl or nr <= ql) return;
if (ql <= nl and nr <= qr) {
res.emplace_back(nd, nl, nr);
return;
}
propagate(nd);
const usize m = (nl + nr) >> 1;
partition_range(ql, qr, res, nd << 1 | 0, nl, m);
partition_range(ql, qr, res, nd << 1 | 1, m, nr);
}
template <class F>
requires std::predicate<F, V>
usize maxRight(F f, const V& prod, usize nd, usize nl, usize nr) {
if (nd >= inner_size()) return nl;
propagate(nd);
const usize m = (nl + nr) >> 1, lch = nd << 1 | 0, rch = nd << 1 | 1;
return f(VM::operation(prod, m_dat[lch])) ?
maxRight(f, VM::operation(prod, m_dat[lch]), rch, m, nr) : maxRight(f, prod, lch, nl, m);
}
template <class F>
requires std::predicate<F, V>
usize minLeft(F f, const V& prod, usize nd, usize nl, usize nr) {
if (nd >= inner_size()) return nr;
propagate(nd);
const usize m = (nl + nr) >> 1, lch = nd << 1 | 0, rch = nd << 1 | 1;
return f(VM::operation(m_dat[rch], prod)) ?
minLeft(f, VM::operation(m_dat[rch], prod), lch, nl, m) : minLeft(f, prod, rch, m, nr);
}
};
} // namespace zawa
namespace zawa {}
using namespace zawa;
// #include "atcoder/modint"
// using mint = atcoder::modint998244353;
// #include <array>
// #include <bit>
// #include <bitset>
// #include <climits>
// #include <cmath>
// #include <set>
// #include <unordered_set>
// #include <map>
// #include <unordered_map>
// #include <optional>
// #include <queue>
// #include <stack>
// #include <deque>
// #pragma GCC target("avx2")
// #pragma GCC optimize("O3")
// #pragma GCC optimize("unroll-loops")
using namespace std;
template <class T, class U>
ostream& operator<<(ostream& os, const pair<T, U>& p) {
os << '(' << p.first << ',' << p.second << ')';
return os;
}
template <class T>
ostream& operator<<(ostream& os, const vector<T>& v) {
for (int i = 0 ; i < ssize(v) ; i++)
os << v[i] << (i + 1 == ssize(v) ? "" : " ");
return os;
}
/*
*
*/
int isqrt(int v) {
int x = sqrtl(v);
while (x * x > v)
x--;
while ((x+1)*(x+1) <= v)
x++;
return x;
}
struct VD {
vector<long long> sum;
int len;
};
struct VM {
using Element = VD;
static Element identity() {
return {{0},0};
}
static Element operation(Element L, Element R) {
while (ssize(L.sum) < ssize(R.sum))
L.sum.push_back(L.sum.back());
while (ssize(L.sum) > ssize(R.sum))
R.sum.push_back(R.sum.back());
for (int i = 0 ; i < ssize(L.sum) ; i++)
L.sum[i] += R.sum[i];
L.len += R.len;
return L;
}
};
VM::Element generate(int v) {
vector<long long> res;
// cout << v << " -> ";
while (true) {
res.push_back(v);
if (v <= 1)
break;
v = isqrt(v);
}
// cout << res << endl;
return {res,1};
}
struct OM {
using Element = pair<int,int>;
static Element identity() {
return {-1,0};
}
static Element operation(Element L, Element R) {
if (R.first != -1)
return R;
L.second += R.second;
return L;
}
};
struct ACT {
using ValueMonoid = VM;
using OperatorMonoid = OM;
static ValueMonoid::Element mapping(ValueMonoid::Element v, OperatorMonoid::Element o) {
if (o.first != -1) {
auto dat = generate(o.first);
dat.len = v.len;
for (int i = 0 ; i < ssize(dat.sum) ; i++)
dat.sum[i] *= v.len;
v = move(dat);
}
assert(ssize(v.sum) >= 1);
int op = min<int>(ssize(v.sum)-1,o.second);
v.sum.erase(v.sum.begin(),v.sum.begin()+op);
return v;
}
};
int main() {
cin.tie(0);
cout.tie(0);
ios::sync_with_stdio(0);
cout << fixed << setprecision(20);
#if !defined DEBUG
int N,Q;
cin >> N >> Q;
vector<VM::Element> A(N);
for (int i = 0 ; i < N ; i++) {
int a;
cin >> a;
A[i] = generate(a);
}
LazySegmentTree<ACT> seg(move(A));
while (Q--) {
int T,L,R;
cin >> T >> L >> R;
if (T == 0)
cout << seg.product(L,R).sum[0] << '\n';
else if (T == 1) {
int x;
cin >> x;
seg.operation(L,R,{x,0});
}
else if (T == 2)
seg.operation(L,R,{-1,1});
else
assert(0);
}
#else
mt19937_64 mt{random_device{}()};
for (int testcase = 0 ; ; ) {
cerr << "----------" << ++testcase << "----------" << endl;
auto a = solve(), b = naive();
if (a != b) {
// print testcase
cerr << "you: " << a << endl;
cout << "correct: " << b << endl;
exit(0);
}
}
#endif
}