#line 1 "test/aoj/3132/main.test.cpp"
#define PROBLEM "http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=3132"
#define ERROR 1e-7
#include <algorithm>
#include <iomanip>
#include <iostream>
#include <vector>
#line 2 "Mylib/AlgebraicStructure/Monoid/product.cpp"
namespace haar_lib {
template <typename T>
struct product_monoid {
using value_type = T;
value_type operator()() const { return 1; }
value_type operator()(value_type a, value_type b) const { return a * b; }
};
} // namespace haar_lib
#line 3 "Mylib/DataStructure/SegmentTree/segment_tree.cpp"
#include <cassert>
#include <functional>
#line 6 "Mylib/DataStructure/SegmentTree/segment_tree.cpp"
namespace haar_lib {
template <typename Monoid>
class segment_tree {
public:
using value_type = typename Monoid::value_type;
private:
Monoid M_;
int depth_, size_, hsize_;
std::vector<value_type> data_;
public:
segment_tree() {}
segment_tree(int n) : depth_(n > 1 ? 32 - __builtin_clz(n - 1) + 1 : 1),
size_(1 << depth_),
hsize_(size_ / 2),
data_(size_, M_()) {}
auto operator[](int i) const {
assert(0 <= i and i < hsize_);
return data_[hsize_ + i];
}
auto fold(int l, int r) const {
assert(0 <= l and l <= r and r <= hsize_);
value_type ret_left = M_();
value_type ret_right = M_();
int L = l + hsize_, R = r + hsize_;
while (L < R) {
if (R & 1) ret_right = M_(data_[--R], ret_right);
if (L & 1) ret_left = M_(ret_left, data_[L++]);
L >>= 1, R >>= 1;
}
return M_(ret_left, ret_right);
}
auto fold_all() const {
return data_[1];
}
void set(int i, const value_type &x) {
assert(0 <= i and i < hsize_);
i += hsize_;
data_[i] = x;
while (i > 1) i >>= 1, data_[i] = M_(data_[i << 1 | 0], data_[i << 1 | 1]);
}
void update(int i, const value_type &x) {
assert(0 <= i and i < hsize_);
i += hsize_;
data_[i] = M_(data_[i], x);
while (i > 1) i >>= 1, data_[i] = M_(data_[i << 1 | 0], data_[i << 1 | 1]);
}
template <typename T>
void init_with_vector(const std::vector<T> &val) {
data_.assign(size_, M_());
for (int i = 0; i < (int) val.size(); ++i) data_[hsize_ + i] = val[i];
for (int i = hsize_; --i >= 1;) data_[i] = M_(data_[i << 1 | 0], data_[i << 1 | 1]);
}
template <typename T>
void init(const T &val) {
init_with_vector(std::vector<value_type>(hsize_, val));
}
private:
template <bool Lower, typename F>
int bound(const int l, const int r, value_type x, F f) const {
std::vector<int> pl, pr;
int L = l + hsize_;
int R = r + hsize_;
while (L < R) {
if (R & 1) pr.push_back(--R);
if (L & 1) pl.push_back(L++);
L >>= 1, R >>= 1;
}
std::reverse(pr.begin(), pr.end());
pl.insert(pl.end(), pr.begin(), pr.end());
value_type a = M_();
for (int i : pl) {
auto b = M_(a, data_[i]);
if ((Lower and not f(b, x)) or (not Lower and f(x, b))) {
while (i < hsize_) {
const auto c = M_(a, data_[i << 1 | 0]);
if ((Lower and not f(c, x)) or (not Lower and f(x, c))) {
i = i << 1 | 0;
} else {
a = c;
i = i << 1 | 1;
}
}
return i - hsize_;
}
a = b;
}
return r;
}
public:
template <typename F = std::less<value_type>>
int lower_bound(int l, int r, value_type x, F f = F()) const {
return bound<true>(l, r, x, f);
}
template <typename F = std::less<value_type>>
int upper_bound(int l, int r, value_type x, F f = F()) const {
return bound<false>(l, r, x, f);
}
};
} // namespace haar_lib
#line 2 "Mylib/IO/input_tuple_vector.cpp"
#include <initializer_list>
#line 4 "Mylib/IO/input_tuple_vector.cpp"
#include <tuple>
#include <utility>
#line 7 "Mylib/IO/input_tuple_vector.cpp"
namespace haar_lib {
template <typename T, size_t... I>
void input_tuple_vector_init(T &val, int N, std::index_sequence<I...>) {
(void) std::initializer_list<int>{(void(std::get<I>(val).resize(N)), 0)...};
}
template <typename T, size_t... I>
void input_tuple_vector_helper(T &val, int i, std::index_sequence<I...>) {
(void) std::initializer_list<int>{(void(std::cin >> std::get<I>(val)[i]), 0)...};
}
template <typename... Args>
auto input_tuple_vector(int N) {
std::tuple<std::vector<Args>...> ret;
input_tuple_vector_init(ret, N, std::make_index_sequence<sizeof...(Args)>());
for (int i = 0; i < N; ++i) {
input_tuple_vector_helper(ret, i, std::make_index_sequence<sizeof...(Args)>());
}
return ret;
}
} // namespace haar_lib
#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 12 "test/aoj/3132/main.test.cpp"
namespace hl = haar_lib;
int main() {
int N;
std::cin >> N;
auto seg = hl::segment_tree<hl::product_monoid<double>>(N);
auto [T, A] = hl::input_tuple_vector<int, int>(N);
for (int i = 0; i < N; ++i) {
seg.set(i, 0.1 * (10 - A[i]));
}
int Q;
std::cin >> Q;
for (auto [L, R] : hl::input_tuples<int, int>(Q)) {
int l = std::lower_bound(T.begin(), T.end(), L) - T.begin();
int r = std::lower_bound(T.begin(), T.end(), R) - T.begin();
auto ans = seg.fold(l, r) * 1e9;
std::cout << std::fixed << std::setprecision(12) << ans << std::endl;
}
return 0;
}
test/aoj/3132/main.test.cpp
Segment tree
(Mylib/DataStructure/SegmentTree/segment_tree.cpp)