This commit is contained in:
Barrett Ruth 2025-12-14 16:05:41 -06:00
parent 9a0bd51ac8
commit 7db2259486
19 changed files with 1 additions and 1500 deletions

2
.gitignore vendored
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.null-ls.* .null-ls*
*.debug *.debug
*.run *.run
*.su *.su

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#include <bits/stdc++.h> // {{{
// https://codeforces.com/blog/entry/96344
#pragma GCC optimize("O2,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
using namespace std;
using i32 = int32_t;
using u32 = uint32_t;
using i64 = int64_t;
using u64 = uint64_t;
using f64 = double;
using f128 = long double;
#if __cplusplus >= 202002L
template <typename T>
constexpr T MIN = std::numeric_limits<T>::min();
template <typename T>
constexpr T MAX = std::numeric_limits<T>::max();
template <typename T>
[[nodiscard]] static T sc(auto&& x) {
return static_cast<T>(x);
}
template <typename T>
[[nodiscard]] static T sz(auto&& x) {
return static_cast<T>(x.size());
}
#endif
static void NO() {
std::cout << "NO\n";
}
static void YES() {
std::cout << "YES\n";
}
template<typename T>
using vec = std::vector<T>;
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define ff first
#define ss second
#ifdef LOCAL
#define db(...) std::print(__VA_ARGS__)
#define dbln(...) std::println(__VA_ARGS__)
#else
#define db(...)
#define dbln(...)
#endif
// }}}
void solve() {
}
int main() { // {{{
cin.tie(nullptr)->sync_with_stdio(false);
cin.exceptions(cin.failbit);
u32 tc = 1;
cin >> tc;
for (u32 t = 0; t < tc; ++t) {
solve();
}
return 0;
}

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#include <bits/stdc++.h> // {{{
// https://codeforces.com/blog/entry/96344
#pragma GCC optimize("O2,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
using namespace std;
using i32 = int32_t;
using u32 = uint32_t;
using i64 = int64_t;
using u64 = uint64_t;
using f64 = double;
using f128 = long double;
#if __cplusplus >= 202002L
template <typename T>
constexpr T MIN = std::numeric_limits<T>::min();
template <typename T>
constexpr T MAX = std::numeric_limits<T>::max();
template <typename T>
[[nodiscard]] static T sc(auto&& x) {
return static_cast<T>(x);
}
template <typename T>
[[nodiscard]] static T sz(auto&& x) {
return static_cast<T>(x.size());
}
#endif
static void NO() {
std::cout << "NO\n";
}
static void YES() {
std::cout << "YES\n";
}
template<typename T>
using vec = std::vector<T>;
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define ff first
#define ss second
#ifdef LOCAL
#define db(...) std::print(__VA_ARGS__)
#define dbln(...) std::println(__VA_ARGS__)
#else
#define db(...)
#define dbln(...)
#endif
// }}}
void solve() {
}

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#include <bits/stdc++.h> // {{{
// https://codeforces.com/blog/entry/96344
#pragma GCC optimize("O2,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
using namespace std;
using i32 = int32_t;
using u32 = uint32_t;
using i64 = int64_t;
using u64 = uint64_t;
using f64 = double;
using f128 = long double;
#if __cplusplus >= 202002L
template <typename T>
constexpr T MIN = std::numeric_limits<T>::min();
template <typename T>
constexpr T MAX = std::numeric_limits<T>::max();
template <typename T>
[[nodiscard]] static T sc(auto&& x) {
return static_cast<T>(x);
}
template <typename T>
[[nodiscard]] static T sz(auto&& x) {
return static_cast<T>(x.size());
}
#endif
static void NO() {
std::cout << "NO\n";
}
static void YES() {
std::cout << "YES\n";
}
template<typename T>
using vec = std::vector<T>;
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define ff first
#define ss second
#ifdef LOCAL
#define db(...) std::print(__VA_ARGS__)
#define dbln(...) std::println(__VA_ARGS__)
#else
#define db(...)
#define dbln(...)
#endif
// }}}
void solve() {
}
int main() { // {{{
cin.tie(nullptr)->sync_with_stdio(false);
cin.exceptions(cin.failbit);
u32 tc = 1;
cin >> tc;
for (u32 t = 0; t < tc; ++t) {
solve();
}

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#include <bits/stdc++.h> // {{{
// https://codeforces.com/blog/entry/96344
#pragma GCC optimize("O2,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
using namespace std;
using i32 = int32_t;
using u32 = uint32_t;
using i64 = int64_t;
using u64 = uint64_t;
using f64 = double;
using f128 = long double;
#if __cplusplus >= 202002L
template <typename T>
constexpr T MIN = std::numeric_limits<T>::min();
template <typename T>
constexpr T MAX = std::numeric_limits<T>::max();
template <typename T>
[[nodiscard]] static T sc(auto&& x) {
return static_cast<T>(x);
}
template <typename T>
[[nodiscard]] static T sz(auto&& x) {
return static_cast<T>(x.size());
}
#endif
static void NO() {
std::cout << "NO\n";
}
static void YES() {
std::cout << "YES\n";
}
template<typename T>
using vec = std::vector<T>;
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define ff first
#define ss second
#ifdef LOCAL
#define db(...) std::print(__VA_ARGS__)
#define dbln(...) std::println(__VA_ARGS__)
#else
#define db(...)
#define dbln(...)
#endif
// }}}
void solve() {

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#include <bits/stdc++.h> // {{{
// https://codeforces.com/blog/entry/96344
#pragma GCC optimize("O2,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
using namespace std;
using i32 = int32_t;
using u32 = uint32_t;
using i64 = int64_t;
using u64 = uint64_t;
using f64 = double;
using f128 = long double;
#if __cplusplus >= 202002L
template <typename T>
constexpr T MIN = std::numeric_limits<T>::min();
template <typename T>
constexpr T MAX = std::numeric_limits<T>::max();
template <typename T>
[[nodiscard]] static T sc(auto&& x) {
return static_cast<T>(x);
}
template <typename T>
[[nodiscard]] static T sz(auto&& x) {
return static_cast<T>(x.size());
}
#endif
static void NO() {
std::cout << "NO\n";
}
static void YES() {
std::cout << "YES\n";
}
template<typename T>
using vec = std::vector<T>;
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define ff first
#define ss second
#ifdef LOCAL
#define db(...) std::print(__VA_ARGS__)
#define dbln(...) std::println(__VA_ARGS__)
#else
#define db(...)
#define dbln(...)
#endif
// }}}
void solve() {
}
int main() { // {{{
cin.tie(nullptr)->sync_with_stdio(false);
cin.exceptions(cin.failbit);
u32 tc = 1;
cin >> tc;
for (u32 t = 0; t < tc; ++t) {

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#include <bits/stdc++.h> // {{{
// https://codeforces.com/blog/entry/96344
#pragma GCC optimize("O2,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
using namespace std;
using i32 = int32_t;
using u32 = uint32_t;
using i64 = int64_t;
using u64 = uint64_t;
using f64 = double;
using f128 = long double;
#if __cplusplus >= 202002L
template <typename T>
constexpr T MIN = std::numeric_limits<T>::min();
template <typename T>
constexpr T MAX = std::numeric_limits<T>::max();
template <typename T>
[[nodiscard]] static T sc(auto&& x) {
return static_cast<T>(x);
}
template <typename T>
[[nodiscard]] static T sz(auto&& x) {
return static_cast<T>(x.size());
}
#endif
static void NO() {
std::cout << "NO\n";
}
static void YES() {
std::cout << "YES\n";
}
template<typename T>
using vec = std::vector<T>;
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define ff first
#define ss second
#ifdef LOCAL
#define db(...) std::print(__VA_ARGS__)
#define dbln(...) std::println(__VA_ARGS__)
#else
#define db(...)
#define dbln(...)
#endif
// }}}
void solve() {
}
int main() {

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#include <bits/stdc++.h> // {{{
// https://codeforces.com/blog/entry/96344
#pragma GCC optimize("O2,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
using namespace std;
using i32 = int32_t;
using u32 = uint32_t;
using i64 = int64_t;
using u64 = uint64_t;
using f64 = double;
using f128 = long double;
#if __cplusplus >= 202002L
template <typename T>
constexpr T MIN = std::numeric_limits<T>::min();
template <typename T>
constexpr T MAX = std::numeric_limits<T>::max();
template <typename T>
[[nodiscard]] static T sc(auto&& x) {
return static_cast<T>(x);
}
template <typename T>
[[nodiscard]] static T sz(auto&& x) {
return static_cast<T>(x.size());
}
#endif
static void NO() {
std::cout << "NO\n";
}
static void YES() {
std::cout << "YES\n";
}
template<typename T>
using vec = std::vector<T>;
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define ff first
#define ss second
#ifdef LOCAL
#define db(...) std::print(__VA_ARGS__)
#define dbln(...) std::println(__VA_ARGS__)
#else
#define db(...)
#define dbln(...)
#endif
// }}}
void solve() {

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#include <bits/stdc++.h> // {{{
// https://codeforces.com/blog/entry/96344
#pragma GCC optimize("O2,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
using namespace std;
using i32 = int32_t;
using u32 = uint32_t;
using i64 = int64_t;
using u64 = uint64_t;
using f64 = double;
using f128 = long double;
#if __cplusplus >= 202002L
template <typename T>
constexpr T MIN = std::numeric_limits<T>::min();
template <typename T>
constexpr T MAX = std::numeric_limits<T>::max();
template <typename T>
[[nodiscard]] static T sc(auto&& x) {
return static_cast<T>(x);
}
template <typename T>
[[nodiscard]] static T sz(auto&& x) {
return static_cast<T>(x.size());
}
#endif
static void NO() {
std::cout << "NO\n";
}
static void YES() {
std::cout << "YES\n";
}
template<typename T>
using vec = std::vector<T>;
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define ff first
#define ss second
#ifdef LOCAL
#define db(...) std::print(__VA_ARGS__)
#define dbln(...) std::println(__VA_ARGS__)
#else
#define db(...)
#define dbln(...)
#endif
// }}}
void solve() {
}
int main() { // {{{
cin.tie(nullptr)->sync_with_stdio(false);
cin.exceptions(cin.failbit);
u32 tc = 1;
cin >> tc;
for (u32 t = 0; t < tc; ++t) {
solve();
}
return 0;
}
// }

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#include <bits/stdc++.h> // {{{
// https://codeforces.com/blog/entry/96344
#pragma GCC optimize("O2,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
using namespace std;
using i32 = int32_t;
using u32 = uint32_t;
using i64 = int64_t;
using u64 = uint64_t;
using f64 = double;
using f128 = long double;
#if __cplusplus >= 202002L
template <typename T>
constexpr T MIN = std::numeric_limits<T>::min();
template <typename T>
constexpr T MAX = std::numeric_limits<T>::max();
template <typename T>
[[nodiscard]] static T sc(auto&& x) {
return static_cast<T>(x);
}
template <typename T>
[[nodiscard]] static T sz(auto&& x) {
return static_cast<T>(x.size());
}
#endif
static void NO() {
std::cout << "NO\n";
}
static void YES() {
std::cout << "YES\n";
}
template<typename T>
using vec = std::vector<T>;
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define ff first
#define ss second
#ifdef LOCAL
#define db(...) std::print(__VA_ARGS__)
#define dbln(...) std::println(__VA_ARGS__)
#else
#define db(...)
#define dbln(...)
#endif
// }}}

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#include <bits/stdc++.h>

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#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#pragma GCC optimize("O2,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
using namespace std;
using namespace __gnu_pbds;
// https://mirror.codeforces.com/blog/entry/124683
namespace hashing {
using i64 = std::int64_t;
using u64 = std::uint64_t;
static const u64 FIXED_RANDOM =
std::chrono::steady_clock::now().time_since_epoch().count();
#if USE_AES
std::mt19937 rd(FIXED_RANDOM);
const __m128i KEY1{(i64)rd(), (i64)rd()};
const __m128i KEY2{(i64)rd(), (i64)rd()};
#endif
template <class T, class D = void> struct custom_hash {};
template <class T> inline void hash_combine(u64 &seed, T const &v) {
custom_hash<T> hasher;
seed ^= hasher(v) + 0x9e3779b97f4a7c15 + (seed << 12) + (seed >> 4);
};
template <class T>
struct custom_hash<T,
typename std::enable_if<std::is_integral<T>::value>::type> {
u64 operator()(T _x) const {
u64 x = _x;
#if USE_AES
__m128i m{i64(u64(x) * 0xbf58476d1ce4e5b9u64), (i64)FIXED_RANDOM};
__m128i y = _mm_aesenc_si128(m, KEY1);
__m128i z = _mm_aesenc_si128(y, KEY2);
return z[0];
#else
x += 0x9e3779b97f4a7c15 + FIXED_RANDOM;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
#endif
}
};
template <class T>
struct custom_hash<T, std::void_t<decltype(std::begin(std::declval<T>()))>> {
u64 operator()(T const &a) const {
u64 value = FIXED_RANDOM;
for (auto &x : a)
hash_combine(value, x);
return value;
}
};
template <class... T> struct custom_hash<std::tuple<T...>> {
u64 operator()(const std::tuple<T...> &a) const {
u64 value = FIXED_RANDOM;
std::apply([&value](T const &...args) { (hash_combine(value, args), ...); },
a);
return value;
}
};
template <class T, class U> struct custom_hash<std::pair<T, U>> {
u64 operator()(std::pair<T, U> const &a) const {
u64 value = FIXED_RANDOM;
hash_combine(value, a.first);
hash_combine(value, a.second);
return value;
}
};
}; // namespace hashing
#ifdef PB_DS_ASSOC_CNTNR_HPP
template <class Key, class Value>
using hashmap = gp_hash_table<
Key, Value, hashing::custom_hash<Key>, std::equal_to<Key>,
direct_mask_range_hashing<>, linear_probe_fn<>,
hash_standard_resize_policy<hash_exponential_size_policy<>,
hash_load_check_resize_trigger<>, true>>;
template <class Key>
using hashset = gp_hash_table<
Key, null_type, hashing::custom_hash<Key>, std::equal_to<Key>,
direct_mask_range_hashing<>, linear_probe_fn<>,
hash_standard_resize_policy<hash_exponential_size_policy<>,
hash_load_check_resize_trigger<>, true>>;
#endif
#ifdef PB_DS_TREE_POLICY_HPP
template <typename T>
using multiset = tree<T, null_type, std::less_equal<T>, rb_tree_tag,
tree_order_statistics_node_update>;
template <class Key, class Value = null_type>
using rbtree = tree<Key, Value, std::less<Key>, rb_tree_tag,
tree_order_statistics_node_update>;
#endif
#define ff first
#define ss second
#define eb emplace_back
#define ll long long
#define vec vector
#define all(x) (x).begin(), (x).end()
#define rall(x) (r).rbegin(), (x).rend()
#define sz(x) static_cast<int>((x).size())
#define FOR(a, b, c) for (int a = b; a < c; ++a)
#ifdef LOCAL
#define dbg(x) cout << __LINE__ << ": " << #x << "=<" << (x) << ">\n";
#else
#define dbg(x)
#endif
template <typename... Args> void print(string const &str, Args &&...args) {
cout << vformat(str, make_format_args(forward<Args>(args)...));
}
template <typename T> void print(T const &t) { cout << t; }
template <ranges::range T> void print(T const &t) {
if constexpr (is_same_v<T, string> || is_convertible_v<T, char const *>) {
cout << t << '\n';
} else {
for (const auto &e : t) {
cout << e << ' ';
}
cout << '\n';
}
}
template <typename... Args> void println(string const &str, Args &&...args) {
print(str, fo

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#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#pragma GCC optimize("O2,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
using namespace std;
using namespace __gnu_pbds;
// https://mirror.codeforces.com/blog/entry/124683
namespace hashing {
using i64 = std::int64_t;
using u64 = std::uint64_t;
static const u64 FIXED_RANDOM =
std::chrono::steady_clock::now().time_since_epoch().count();
#if USE_AES
std::mt19937 rd(FIXED_RANDOM);
const __m128i KEY1{(i64)rd(), (i64)rd()};
const __m128i KEY2{(i64)rd(), (i64)rd()};
#endif
template <class T, class D = void> struct custom_hash {};
template <class T> inline void hash_combine(u64 &seed, T const &v) {
custom_hash<T> hasher;
seed ^= hasher(v) + 0x9e3779b97f4a7c15 + (seed << 12) + (seed >> 4);
};
template <class T>
struct custom_hash<T,
typename std::enable_if<std::is_integral<T>::value>::type> {
u64 operator()(T _x) const {
u64 x = _x;
#if USE_AES
__m128i m{i64(u64(x) * 0xbf58476d1ce4e5b9u64), (i64)FIXED_RANDOM};
__m128i y = _mm_aesenc_si128(m, KEY1);
__m128i z = _mm_aesenc_si128(y, KEY2);
return z[0];
#else
x += 0x9e3779b97f4a7c15 + FIXED_RANDOM;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
#endif
}
};
template <class T>
struct custom_hash<T, std::void_t<decltype(std::begin(std::declval<T>()))>> {
u64 operator()(T const &a) const {
u64 value = FIXED_RANDOM;
for (auto &x : a)
hash_combine(value, x);
return value;
}
};
template <class... T> struct custom_hash<std::tuple<T...>> {
u64 operator()(const std::tuple<T...> &a) const {
u64 value = FIXED_RANDOM;
std::apply([&value](T const &...args) { (hash_combine(value, args), ...); },
a);
return value;
}
};
template <class T, class U> struct custom_hash<std::pair<T, U>> {
u64 operator()(std::pair<T, U> const &a) const {
u64 value = FIXED_RANDOM;
hash_combine(value, a.first);
hash_combine(value, a.second);
return value;
}
};
}; // namespace hashing
#ifdef PB_DS_ASSOC_CNTNR_HPP
template <class Key, class Value>
using hashmap = gp_hash_table<
Key, Value, hashing::custom_hash<Key>, std::equal_to<Key>,
direct_mask_range_hashing<>, linear_probe_fn<>,
hash_standard_resize_policy<hash_exponential_size_policy<>,
hash_load_check_resize_trigger<>, true>>;
template <class Key>
using hashset = gp_hash_table<
Key, null_type, hashing::custom_hash<Key>, std::equal_to<Key>,
direct_mask_range_hashing<>, linear_probe_fn<>,
hash_standard_resize_policy<hash_exponential_size_policy<>,
hash_load_check_resize_trigger<>, true>>;
#endif
#ifdef PB_DS_TREE_POLICY_HPP
template <typename T>
using multiset = tree<T, null_type, std::less_equal<T>, rb_tree_tag,
tree_order_statistics_node_update>;
template <class Key, class Value = null_type>
using rbtree = tree<Key, Value, std::less<Key>, rb_tree_tag,
tree_order_statistics_node_update>;
#endif
#define ff first
#define ss second
#define eb emplace_back
#define ll long long
#define vec vector
#define all(x) (x).begin(), (x).end()
#define rall(x) (r).rbegin(), (x).rend()
#define sz(x) static_cast<int>((x).size())
#define FOR(a, b, c) for (int a = b; a < c; ++a)
#ifdef LOCAL
#define dbg(x) cout << __LINE__ << ": " << #x << "=<" << (x) << ">\n";
#else
#define dbg(x)
#endif
template <typename... Args> void print(string const &str, Args &&...args) {
cout << vformat(str, make_format_args(forward<Args>(args)...));
}
template <typename T> void print(T const &t) { cout << t; }
template <ranges::range T> void print(T const &t) {
if constexpr (is_same_v<T, string> || is_convertible_v<T, char const *>) {
cout << t << '\n';
} else {
for (const auto &e : t) {
cout << e << ' ';
}
cout << '\n';
}
}
template <typename... Args> void println(string const &str, Args &&...args) {
print(str, forward<Args>(args)...);
cout << '\n';
}
template <typename T> void println(T const &t) { print("{}\n", t); }
template <ranges::range T> void println(T const &t) {
print(t);
cout << '\n';
}
void println() { cout << '\n'; }
template <typename T> T max() { return numeric_limits<T>::max(); }
template <typename T> T min() { return numeric_limits<T>::min(); }
constexpr static int MOD = 1e9 + 7;
void solve() {
int n, k, d;
cin >> n >> k >> d;
hashmap<pair<int, int>, int> memo;
auto dp = [&](auto &self, int n, int d) -> int {
if (memo.find({n, d}) != memo.end())
return memo[{n, d}];
if (n == 0)
return d == 0 ? 1 : 0;
ll total = 0;
FOR(i, 1, min(n + 1, k + 1)) {
total = (total + self(self, n - i, i < d ? d : 0)) % MOD;
}
return memo[{n, d}] = total;
};
print(dp(dp, n, d));
}
int main() {
cin.tie(nullptr)->sync_with_stdio(false);
int t = 1;
// cin >> t;
while (t--) {
solve();
}
return 0;
}

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#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#pragma GCC optimize("O2,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
using namespace std;
using namespace __gnu_pbds;
// https://mirror.codeforces.com/blog/entry/124683
namespace hashing {
using i64 = std::int64_t;
using u64 = std::uint64_t;
static const u64 FIXED_RANDOM =
std::chrono::steady_clock::now().time_since_epoch().count();
#if USE_AES
std::mt19937 rd(FIXED_RANDOM);
const __m128i KEY1{(i64)rd(), (i64)rd()};
const __m128i KEY2{(i64)rd(), (i64)rd()};
#endif
template <class T, class D = void> struct custom_hash {};
template <class T> inline void hash_combine(u64 &seed, T const &v) {
custom_hash<T> hasher;
seed ^= hasher(v) + 0x9e3779b97f4a7c15 + (seed << 12) + (seed >> 4);
};
template <class T>
struct custom_hash<T,
typename std::enable_if<std::is_integral<T>::value>::type> {
u64 operator()(T _x) const {
u64 x = _x;
#if USE_AES
__m128i m{i64(u64(x) * 0xbf58476d1ce4e5b9u64), (i64)FIXED_RANDOM};
__m128i y = _mm_aesenc_si128(m, KEY1);
__m128i z = _mm_aesenc_si128(y, KEY2);
return z[0];
#else
x += 0x9e3779b97f4a7c15 + FIXED_RANDOM;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
#endif
}
};
template <class T>
struct custom_hash<T, std::void_t<decltype(std::begin(std::declval<T>()))>> {
u64 operator()(T const &a) const {
u64 value = FIXED_RANDOM;
for (auto &x : a)
hash_combine(value, x);
return value;
}
};
template <class... T> struct custom_hash<std::tuple<T...>> {
u64 operator()(const std::tuple<T...> &a) const {
u64 value = FIXED_RANDOM;
std::apply([&value](T const &...args) { (hash_combine(value, args), ...); },
a);
return value;
}
};
template <class T, class U> struct custom_hash<std::pair<T, U>> {
u64 operator()(std::pair<T, U> const &a) const {
u64 value = FIXED_RANDOM;
hash_combine(value, a.first);
hash_combine(value, a.second);
return value;
}
};
}; // namespace hashing
#ifdef PB_DS_ASSOC_CNTNR_HPP
template <class Key, class Value>
using hashmap = gp_hash_table<
Key, Value, hashing::custom_hash<Key>, std::equal_to<Key>,
direct_mask_range_hashing<>, linear_probe_fn<>,
hash_standard_resize_policy<hash_exponential_size_policy<>,
hash_load_check_resize_trigger<>, true>>;
template <class Key>
using hashset = gp_hash_table<
Key, null_type, hashing::custom_hash<Key>, std::equal_to<Key>,
direct_mask_range_hashing<>, linear_probe_fn<>,
hash_standard_resize_policy<hash_exponential_size_policy<>,
hash_load_check_resize_trigger<>, true>>;
#endif
#ifdef PB_DS_TREE_POLICY_HPP
template <typename T>
using multiset = tree<T, null_type, std::less_equal<T>, rb_tree_tag,
tree_order_statistics_node_update>;
template <class Key, class Value = null_type>
using rbtree = tree<Key, Value, std::less<Key>, rb_tree_tag,
tree_order_statistics_node_update>;
#endif
#define ff first
#define ss second
#define eb emplace_back
#define ll long long
#define vec vector
#define all(x) (x).begin(), (x).end()
#define rall(x) (r).rbegin(), (x).rend()
#define sz(x) static_cast<int>((x).size())
#define FOR(a, b, c) for (int a = b; a < c; ++a)
#ifdef LOCAL
#define dbg(x) cout << __LINE__ << ": " << #x << "=<" << (x) << ">\n";
#else
#define dbg(x)
#endif
template <typename... Args> void print(string const &str, Args &&...args) {
cout << vformat(str, make_format_args(forward<Args>(args)...));
}
template <typename T> void print(T const &t) { cout << t; }
template <ranges::range T> void print(T const &t) {
if constexpr (is_same_v<T, string> || is_convertible_v<T, char const *>) {
cout << t << '\n';
} else {
for (const auto &e : t) {
cout << e << ' ';
}
cout << '\n';
}
}
template <typename... Args> void println(string const &str, Args &&...args) {
print(str, forward<Args>(args)...);
cout << '\n';
}
template <typename T> void println(T const &t) { print("{}\n", t); }
template <ranges::range T> void println(T const &t) {
print(t);
cout << '\n';
}
void println() { cout << '\n'; }
template <typename T> T max() { return numeric_limits<T>::max(); }
template <typename T> T min() { return numeric_limits<T>::min(); }
constexpr static int MOD = 1e9 + 7;
void solve() {
int n, k, d;
cin >> n >> k >> d;
hashmap<pair<int, int>, int> memo;
auto dp = [&](auto &self, int n, int d) -> int {
if (memo.find({n, d}) != memo.end())
return memo[{n, d}];
if (n == 0)
return d == 0 ? 1 : 0;
ll total = 0;
FOR(i, 1, min(n + 1, k + 1)) {
total = (total + self(self, n - i, i < d ? d : 0)) % MOD;
}
return memo[{n, d}] = total;
};
print(dp(dp, n, d));
}
int main() {
cin.tie(nullptr)->sync_with_stdio(false);
int t = 1;
// cin >> t;
while (t--) {
solve();
}
return 0;
}

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#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#pragma GCC optimize("O2,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
using namespace std;
using namespace __gnu_pbds;
// https://mirror.codeforces.com/blog/entry/124683
namespace hashing {
using i64 = std::int64_t;
using u64 = std::uint64_t;
static const u64 FIXED_RANDOM =
std::chrono::steady_clock::now().time_since_epoch().count();
#if USE_AES
std::mt19937 rd(FIXED_RANDOM);
const __m128i KEY1{(i64)rd(), (i64)rd()};
const __m128i KEY2{(i64)rd(), (i64)rd()};
#endif
template <class T, class D = void> struct custom_hash {};
template <class T> inline void hash_combine(u64 &seed, T const &v) {
custom_hash<T> hasher;
seed ^= hasher(v) + 0x9e3779b97f4a7c15 + (seed << 12) + (seed >> 4);
};
template <class T>
struct custom_hash<T,
typename std::enable_if<std::is_integral<T>::value>::type> {
u64 operator()(T _x) const {
u64 x = _x;
#if USE_AES
__m128i m{i64(u64(x) * 0xbf58476d1ce4e5b9u64), (i64)FIXED_RANDOM};
__m128i y = _mm_aesenc_si128(m, KEY1);
__m128i z = _mm_aesenc_si128(y, KEY2);
return z[0];
#else
x += 0x9e3779b97f4a7c15 + FIXED_RANDOM;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
#endif
}
};
template <class T>
struct custom_hash<T, std::void_t<decltype(std::begin(std::declval<T>()))>> {
u64 operator()(T const &a) const {
u64 value = FIXED_RANDOM;
for (auto &x : a)
hash_combine(value, x);
return value;
}
};
template <class... T> struct custom_hash<std::tuple<T...>> {
u64 operator()(const std::tuple<T...> &a) const {
u64 value = FIXED_RANDOM;
std::apply([&value](T const &...args) { (hash_combine(value, args), ...); },
a);
return value;
}
};
template <class T, class U> struct custom_hash<std::pair<T, U>> {
u64 operator()(std::pair<T, U> const &a) const {
u64 value = FIXED_RANDOM;
hash_combine(value, a.first);
hash_combine(value, a.second);
return value;
}
};
}; // namespace hashing
#ifdef PB_DS_ASSOC_CNTNR_HPP
template <class Key, class Value>
using hashmap = gp_hash_table<
Key, Value, hashing::custom_hash<Key>, std::equal_to<Key>,
direct_mask_range_hashing<>, linear_probe_fn<>,
hash_standard_resize_policy<hash_exponential_size_policy<>,
hash_load_check_resize_trigger<>, true>>;
template <class Key>
using hashset = gp_hash_table<
Key, null_type, hashing::custom_hash<Key>, std::equal_to<Key>,
direct_mask_range_hashing<>, linear_probe_fn<>,
hash_standard_resize_policy<hash_exponential_size_policy<>,
hash_load_check_resize_trigger<>, true>>;
#endif
#ifdef PB_DS_TREE_POLICY_HPP
template <typename T>
using multiset = tree<T, null_type, std::less_equal<T>, rb_tree_tag,
tree_order_statistics_node_update>;
template <class Key, class Value = null_type>
using rbtree = tree<Key, Value, std::less<Key>, rb_tree_tag,
tree_order_statistics_node_update>;
#endif
#define ff first
#define ss second
#define eb emplace_back
#define ll long long
#define vec vector
#define all(x) (x).begin(), (x).end()
#define rall(x) (r).rbegin(), (x).rend()
#define sz(x) static_cast<int>((x).size())
#define FOR(a, b, c) for (int a = b; a < c; ++a)
#ifdef LOCAL
#define dbg(x) cout << __LINE__ << ": " << #x << "=<" << (x) << ">\n";
#else
#define dbg(x)
#endif
template <typename... Args> void print(string const &str, Args &&...args) {
cout << vformat(str, make_format_args(forward<Args>(args)...));
}
template <typename T> void print(T const &t) { cout << t; }
template <ranges::range T> void print(T const &t) {
if constexpr (is_same_v<T, string> || is_convertible_v<T, char const *>) {
cout << t << '\n';
} else {
for (const auto &e : t) {
cout << e << ' ';
}
cout << '\n';
}
}
template <typename... Args> void println(string const &str, Args &&...args) {
print(str, fo

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#include <bits/stdc++.h>

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#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#pragma GCC optimize("O2,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
using namespace std;
using namespace __gnu_pbds;
// https://mirror.codeforces.com/blog/entry/124683
namespace hashing {
using i64 = std::int64_t;
using u64 = std::uint64_t;
static const u64 FIXED_RANDOM =
std::chrono::steady_clock::now().time_since_epoch().count();
#if USE_AES
std::mt19937 rd(FIXED_RANDOM);
const __m128i KEY1{(i64)rd(), (i64)rd()};
const __m128i KEY2{(i64)rd(), (i64)rd()};
#endif
template <class T, class D = void> struct custom_hash {};
template <class T> inline void hash_combine(u64 &seed, T const &v) {
custom_hash<T> hasher;
seed ^= hasher(v) + 0x9e3779b97f4a7c15 + (seed << 12) + (seed >> 4);
};
template <class T>
struct custom_hash<T,
typename std::enable_if<std::is_integral<T>::value>::type> {
u64 operator()(T _x) const {
u64 x = _x;
#if USE_AES
__m128i m{i64(u64(x) * 0xbf58476d1ce4e5b9u64), (i64)FIXED_RANDOM};
__m128i y = _mm_aesenc_si128(m, KEY1);
__m128i z = _mm_aesenc_si128(y, KEY2);
return z[0];
#else
x += 0x9e3779b97f4a7c15 + FIXED_RANDOM;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
#endif
}
};
template <class T>
struct custom_hash<T, std::void_t<decltype(std::begin(std::declval<T>()))>> {
u64 operator()(T const &a) const {
u64 value = FIXED_RANDOM;
for (auto &x : a)
hash_combine(value, x);
return value;
}
};
template <class... T> struct custom_hash<std::tuple<T...>> {
u64 operator()(const std::tuple<T...> &a) const {
u64 value = FIXED_RANDOM;
std::apply([&value](T const &...args) { (hash_combine(value, args), ...); },
a);
return value;
}
};
template <class T, class U> struct custom_hash<std::pair<T, U>> {
u64 operator()(std::pair<T, U> const &a) const {
u64 value = FIXED_RANDOM;
hash_combine(value, a.first);
hash_combine(value, a.second);
return value;
}
};
}; // namespace hashing
#ifdef PB_DS_ASSOC_CNTNR_HPP
template <class Key, class Value>
using hashmap = gp_hash_table<
Key, Value, hashing::custom_hash<Key>, std::equal_to<Key>,
direct_mask_range_hashing<>, linear_probe_fn<>,
hash_standard_resize_policy<hash_exponential_size_policy<>,
hash_load_check_resize_trigger<>, true>>;
template <class Key>
using hashset = gp_hash_table<
Key, null_type, hashing::custom_hash<Key>, std::equal_to<Key>,
direct_mask_range_hashing<>, linear_probe_fn<>,
hash_standard_resize_policy<hash_exponential_size_policy<>,
hash_load_check_resize_trigger<>, true>>;
#endif
#ifdef PB_DS_TREE_POLICY_HPP
template <typename T>
using multiset = tree<T, null_type, std::less_equal<T>, rb_tree_tag,
tree_order_statistics_node_update>;
template <class Key, class Value = null_type>
using rbtree = tree<Key, Value, std::less<Key>, rb_tree_tag,
tree_order_statistics_node_update>;
#endif
#define ff first
#define ss second
#define eb emplace_back
#define ll long long
#define vec vector
#define all(x) (x).begin(), (x).end()
#define rall(x) (r).rbegin(), (x).rend()
#define sz(x) static_cast<int>((x).size())
#define FOR(a, b, c) for (int a = b; a < c; ++a)
#ifdef LOCAL
#define dbg(x) cout << __LINE__ << ": " << #x << "=<" << (x) << ">\n";
#else
#define dbg(x)
#endif
template <typename... Args> void print(string const &str, Args &&...args) {
cout << vformat(str, make_format_args(forward<Args>(args)...));
}
template <typename T> void print(T const &t) { cout << t; }
template <ranges::range T> void print(T const &t) {
if constexpr (is_same_v<T, string> || is_convertible_v<T, char const *>) {
cout << t << '\n';
} else {
for (const auto &e : t) {
cout << e << ' ';
}
cout << '\n';
}
}
template <typename... Args> void println(string const &str, Args &&...args) {
print(str, forward<Args>(args)...);
cout << '\n';
}
template <typename T> void println(T const &t) { print("{}\n", t); }
template <ranges::range T> void println(T const &t) {
print(t);
cout << '\n';
}
void println() { cout << '\n'; }
template <typename T> T max() { return numeric_limits<T>::max(); }
template <typename T> T min() { return numeric_limits<T>::min(); }
constexpr static int MOD = 1e9 + 7;
void solve() {
int n, k, d;
cin >> n >> k >> d;
hashmap<pair<int, int>, int> memo;
auto dp = [&](auto &self, int n, int d) -> int {
if (memo.find({n, d}) != memo.end())
return memo[{n, d}];
if (n == 0)
return d == 0 ? 1 : 0;
ll total = 0;
FOR(i, 1, min(n + 1, k + 1)) {
total = (total + self(self, n - i, i < d ? d : 0)) % MOD;
}
return memo[{n, d}] = total;
};
print(dp(dp, n, d));
}
int main() {
cin.tie(nullptr)->sync_with_stdio(false);
int t = 1;
// cin >> t;
while (t--) {
solve();
}
return 0;
}

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@ -1,37 +0,0 @@
import math
from scipy.optimize import minimize_scalar
def cable_length(x, L, H1, H2, d, h):
# Calculate the height of the cable at point x
y = H1 - (H1 - H2) * (x / L)
# Ensure the rider is at least h + d meters above the ground
if y - d < h:
return float('inf') # Invalid configuration
# Calculate the cable length
length1 = math.sqrt(x**2 + (H1 - y)**2)
length2 = math.sqrt((L - x)**2 + (H2 - y)**2)
return length1 + length2
def find_min_max_length(L, H1, H2, d, h):
# Find the minimum length
res_min = minimize_scalar(lambda x: cable_length(x, L, H1, H2, d, h), bounds=(0, L), method='bounded')
min_length = res_min.fun
# Find the maximum length
res_max = minimize_scalar(lambda x: -cable_length(x, L, H1, H2, d, h), bounds=(0, L), method='bounded')
max_length = -res_max.fun
return min_length, max_length
# Example usage:
L = 1000 # Distance between poles
H1 = 100 # Height of first pole
H2 = 100 # Height of second pole
d = 20 # Distance rider hangs below cable
h = 10 # Minimum height above ground
min_length, max_length = find_min_max_length(L, H1, H2, d, h)
print(f"Minimum length: {min_length:.6f} meters")
print(f"Maximum length: {max_length:.6f} meters")