#define PROBLEM "http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=DSL_2_H"
#include <iostream>
#include "Mylib/AlgebraicStructure/Monoid/min.cpp"
#include "Mylib/AlgebraicStructure/Monoid/sum.cpp"
#include "Mylib/AlgebraicStructure/MonoidAction/add_min.cpp"
#include "Mylib/DataStructure/SegmentTree/lazy_segment_tree.cpp"
#include "Mylib/IO/input_tuples.cpp"
namespace hl = haar_lib;
using min = hl::min_monoid<int64_t>;
using sum = hl::sum_monoid<int64_t>;
int main() {
int n, q;
std::cin >> n >> q;
hl::lazy_segment_tree<hl::add_min<sum, min>> seg(n);
seg.init(0);
for (auto [type, s, t] : hl::input_tuples<int, int, int>(q)) {
if (type == 0) {
int x;
std::cin >> x;
seg.update(s, t + 1, x);
} else {
std::cout << seg.fold(s, t + 1).value() << std::endl;
}
}
return 0;
}
#line 1 "test/aoj/DSL_2_H/main.test.cpp"
#define PROBLEM "http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=DSL_2_H"
#include <iostream>
#line 2 "Mylib/AlgebraicStructure/Monoid/min.cpp"
#include <algorithm>
#include <optional>
namespace haar_lib {
template <typename T>
struct min_monoid {
using value_type = std::optional<T>;
value_type operator()() const { return {}; }
value_type operator()(const value_type &a, const value_type &b) const {
if (not a) return b;
if (not b) return a;
return {std::min(*a, *b)};
}
};
} // namespace haar_lib
#line 2 "Mylib/AlgebraicStructure/Monoid/sum.cpp"
namespace haar_lib {
template <typename T>
struct sum_monoid {
using value_type = T;
value_type operator()() const { return 0; }
value_type operator()(value_type a, value_type b) const { return a + b; }
};
} // namespace haar_lib
#line 2 "Mylib/AlgebraicStructure/MonoidAction/add_min.cpp"
namespace haar_lib {
template <typename MonoidUpdate, typename MonoidGet>
struct add_min {
using monoid_get = MonoidGet;
using monoid_update = MonoidUpdate;
using value_type_get = typename MonoidGet::value_type;
using value_type_update = typename MonoidUpdate::value_type;
value_type_get operator()(value_type_get a, value_type_update b, int) const {
if (a) return {*a + b};
return {};
}
};
} // namespace haar_lib
#line 2 "Mylib/DataStructure/SegmentTree/lazy_segment_tree.cpp"
#include <cassert>
#include <vector>
namespace haar_lib {
template <typename Monoid>
class lazy_segment_tree {
public:
using monoid_get = typename Monoid::monoid_get;
using monoid_update = typename Monoid::monoid_update;
using value_type_get = typename monoid_get::value_type;
using value_type_update = typename monoid_update::value_type;
private:
Monoid M_;
monoid_get M_get_;
monoid_update M_update_;
int depth_, size_, hsize_;
std::vector<value_type_get> data_;
std::vector<value_type_update> lazy_;
void propagate(int i) {
if (lazy_[i] == M_update_()) return;
if (i < hsize_) {
lazy_[i << 1 | 0] = M_update_(lazy_[i], lazy_[i << 1 | 0]);
lazy_[i << 1 | 1] = M_update_(lazy_[i], lazy_[i << 1 | 1]);
}
const int len = hsize_ >> (31 - __builtin_clz(i));
data_[i] = M_(data_[i], lazy_[i], len);
lazy_[i] = M_update_();
}
void propagate_top_down(int i) {
std::vector<int> temp;
while (i > 1) {
i >>= 1;
temp.push_back(i);
}
for (auto it = temp.rbegin(); it != temp.rend(); ++it) propagate(*it);
}
void bottom_up(int i) {
while (i > 1) {
i >>= 1;
propagate(i << 1 | 0);
propagate(i << 1 | 1);
data_[i] = M_get_(data_[i << 1 | 0], data_[i << 1 | 1]);
}
}
public:
lazy_segment_tree() {}
lazy_segment_tree(int n) : depth_(n > 1 ? 32 - __builtin_clz(n - 1) + 1 : 1),
size_(1 << depth_),
hsize_(size_ / 2),
data_(size_, M_get_()),
lazy_(size_, M_update_()) {}
void update(int l, int r, const value_type_update &x) {
assert(0 <= l and l <= r and r <= hsize_);
propagate_top_down(l + hsize_);
if (r < hsize_) propagate_top_down(r + hsize_);
int L = l + hsize_, R = r + hsize_;
while (L < R) {
if (R & 1) {
--R;
lazy_[R] = M_update_(x, lazy_[R]);
propagate(R);
}
if (L & 1) {
lazy_[L] = M_update_(x, lazy_[L]);
propagate(L);
++L;
}
L >>= 1;
R >>= 1;
}
bottom_up(l + hsize_);
if (r < hsize_) bottom_up(r + hsize_);
}
void update(int i, const value_type_update &x) { update(i, i + 1, x); }
value_type_get fold(int l, int r) {
assert(0 <= l and l <= r and r <= hsize_);
propagate_top_down(l + hsize_);
if (r < hsize_) propagate_top_down(r + hsize_);
value_type_get ret_left = M_get_(), ret_right = M_get_();
int L = l + hsize_, R = r + hsize_;
while (L < R) {
if (R & 1) {
--R;
propagate(R);
ret_right = M_get_(data_[R], ret_right);
}
if (L & 1) {
propagate(L);
ret_left = M_get_(ret_left, data_[L]);
++L;
}
L >>= 1;
R >>= 1;
}
return M_get_(ret_left, ret_right);
}
value_type_get fold_all() {
return fold(0, hsize_);
}
value_type_get operator[](int i) { return fold(i, i + 1); }
template <typename T>
void init(const T &val) {
init_with_vector(std::vector<T>(hsize_, val));
}
template <typename T>
void init_with_vector(const std::vector<T> &val) {
data_.assign(size_, M_get_());
lazy_.assign(size_, M_update_());
for (int i = 0; i < (int) val.size(); ++i) data_[hsize_ + i] = (value_type_get) val[i];
for (int i = hsize_; --i > 0;) data_[i] = M_get_(data_[i << 1 | 0], data_[i << 1 | 1]);
}
};
} // namespace haar_lib
#line 2 "Mylib/IO/input_tuples.cpp"
#include <initializer_list>
#line 4 "Mylib/IO/input_tuples.cpp"
#include <tuple>
#include <utility>
#line 6 "Mylib/IO/input_tuple.cpp"
namespace haar_lib {
template <typename T, size_t... I>
static void input_tuple_helper(std::istream &s, T &val, std::index_sequence<I...>) {
(void) std::initializer_list<int>{(void(s >> std::get<I>(val)), 0)...};
}
template <typename T, typename U>
std::istream &operator>>(std::istream &s, std::pair<T, U> &value) {
s >> value.first >> value.second;
return s;
}
template <typename... Args>
std::istream &operator>>(std::istream &s, std::tuple<Args...> &value) {
input_tuple_helper(s, value, std::make_index_sequence<sizeof...(Args)>());
return s;
}
} // namespace haar_lib
#line 8 "Mylib/IO/input_tuples.cpp"
namespace haar_lib {
template <typename... Args>
class InputTuples {
struct iter {
using value_type = std::tuple<Args...>;
value_type value;
bool fetched = false;
int N, c = 0;
value_type operator*() {
if (not fetched) {
std::cin >> value;
}
return value;
}
void operator++() {
++c;
fetched = false;
}
bool operator!=(iter &) const {
return c < N;
}
iter(int N) : N(N) {}
};
int N;
public:
InputTuples(int N) : N(N) {}
iter begin() const { return iter(N); }
iter end() const { return iter(N); }
};
template <typename... Args>
auto input_tuples(int N) {
return InputTuples<Args...>(N);
}
} // namespace haar_lib
#line 9 "test/aoj/DSL_2_H/main.test.cpp"
namespace hl = haar_lib;
using min = hl::min_monoid<int64_t>;
using sum = hl::sum_monoid<int64_t>;
int main() {
int n, q;
std::cin >> n >> q;
hl::lazy_segment_tree<hl::add_min<sum, min>> seg(n);
seg.init(0);
for (auto [type, s, t] : hl::input_tuples<int, int, int>(q)) {
if (type == 0) {
int x;
std::cin >> x;
seg.update(s, t + 1, x);
} else {
std::cout << seg.fold(s, t + 1).value() << std::endl;
}
}
return 0;
}
test/aoj/DSL_2_H/main.test.cpp
Min monoid
(Mylib/AlgebraicStructure/Monoid/min.cpp)