結果

問題 No.612 Move on grid
ユーザー ngtkana
提出日時 2019-08-16 17:47:45
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 120 ms / 2,500 ms
コード長 6,117 bytes
コンパイル時間 2,294 ms
コンパイル使用メモリ 199,792 KB
最終ジャッジ日時 2025-01-07 12:05:48
ジャッジサーバーID
(参考情報)
judge2 / judge3
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 4
other AC * 17
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

#include <bits/stdc++.h>
#define loop(n) for (int ngtkana_is_geneous = 0; ngtkana_is_geneous < n; ngtkana_is_geneous++)
#define rep(i, begin, end) for(int i = begin; i < end; i++)
template <typename T>
T inverse(T a, T m) {
T u = 0, v = 1;
while (a != 0) {
T t = m / a;
m -= t * a; std::swap(a, m);
u -= t * v; std::swap(u, v);
}
assert(m == 1);
return u;
}
template <typename T>
class modular {
private:
int value;
public:
constexpr modular() = default;
constexpr modular(const modular&) = default;
constexpr modular(modular&&) = default;
modular& operator=(const modular&) = default;
modular& operator=(modular&&) = default;
template <typename U>
modular (const U& x) {value = normalize(x);}
template <typename U>
static auto normalize(const U& x) {
int v = static_cast<int>(-mod() <= x && x < mod() ? x : x % mod());
if (v < 0) v += mod();
return v;
}
auto const& operator()() const { return value; }
template <typename U>
explicit operator U() const { return static_cast<U>(value); }
constexpr static auto mod() { return T::value; }
auto& operator+=(const modular& other) {
if ((value += other.value) >= mod()) value -= mod();
return *this;
}
auto& operator-=(const modular& other) {
if ((value -= other.value) < 0) value += mod();
return *this;
}
template <typename U>
auto& operator+=(const U& other) {return *this += modular(other); }
template <typename U>
auto& operator-=(const U& other) {return *this -= modular(other); }
auto operator-() const { return modular(-value); }
auto& operator++() {return *this += 1;}
auto& operator--() {return *this -= 1;}
auto operator++(int) {modular result(*this); operator++(); return result;}
auto operator--(int) {modular result(*this); operator--(); return result;}
template <typename U = T>
auto& operator*=(const modular& rhs) {
value = normalize(static_cast<int64_t>(value) * static_cast<int64_t>(rhs.value));
return *this;
}
auto& operator/=(const modular& other) {
return *this *= modular(inverse(other.value, mod()));
}
};
template <typename T> struct is_modular : std::false_type {};
template <typename T> struct is_modular <modular<T>> : std::true_type{};
template <typename T> constexpr bool is_modular_v = is_modular<T>::value;
template <typename T> bool operator==(const modular<T>& lhs, const modular<T>& rhs) { return lhs.value == rhs.value; }
template <typename T, typename U> bool operator==(const modular<T>& lhs, U rhs) { return lhs == modular<T>(rhs); }
template <typename T, typename U> bool operator==(U lhs, const modular<T>& rhs) { return modular<T>(lhs) == rhs; }
template <typename T> bool operator!=(const modular<T>& lhs, const modular<T>& rhs) { return !(lhs == rhs); }
template <typename T, typename U> bool operator!=(const modular<T>& lhs, U rhs) { return !(lhs == rhs); }
template <typename T, typename U> bool operator!=(U lhs, const modular<T>& rhs) { return !(lhs == rhs); }
template <typename T> modular<T> operator+(const modular<T>& lhs, const modular<T>& rhs) { return modular<T>(lhs) += rhs; }
template <typename T, typename U> modular<T> operator+(const modular<T>& lhs, U rhs) { return modular<T>(lhs) += rhs; }
template <typename T, typename U> modular<T> operator+(U lhs, const modular<T>& rhs) { return modular<T>(lhs) += rhs; }
template <typename T> modular<T> operator-(const modular<T>& lhs, const modular<T>& rhs) { return modular<T>(lhs) -= rhs; }
template <typename T, typename U> modular<T> operator-(const modular<T>& lhs, U rhs) { return modular<T>(lhs) -= rhs; }
template <typename T, typename U> modular<T> operator-(U lhs, const modular<T>& rhs) { return modular<T>(lhs) -= rhs; }
template <typename T> modular<T> operator*(const modular<T>& lhs, const modular<T>& rhs) { return modular<T>(lhs) *= rhs; }
template <typename T, typename U> modular<T> operator*(const modular<T>& lhs, U rhs) { return modular<T>(lhs) *= rhs; }
template <typename T, typename U> modular<T> operator*(U lhs, const modular<T>& rhs) { return modular<T>(lhs) *= rhs; }
template <typename T> modular<T> operator/(const modular<T>& lhs, const modular<T>& rhs) { return modular<T>(lhs) /= rhs; }
template <typename T, typename U> modular<T> operator/(const modular<T>& lhs, U rhs) { return modular<T>(lhs) /= rhs; }
template <typename T, typename U> modular<T> operator/(U lhs, const modular<T>& rhs) { return modular<T>(lhs) /= rhs; }
template<typename T, typename U>
modular<T> pow (const modular<T>& a, U b) {
assert(b >= 0);
modular<T> x = a, ret = 1;
for (; b > 0; b /= 2) {
if (b % 2 == 1) ret *= x;
x *= x;
}
return ret;
}
template <typename T>
std::string to_string(const modular<T>& a) {
return std::to_string(a());
}
template <typename T>
auto operator<<(std::ostream& os, const T& a)
-> std::enable_if_t<is_modular_v<T>, std::ostream&>{
return os << a();
}
template <typename T>
auto operator>>(std::istream& is, T& a)
-> std::enable_if_t<is_modular_v<T>, std::istream&> {
long long x; is >> x;
a = T(x);
return is;
}
using mod_type = int;
struct voriable_mod { static mod_type value; };
mod_type voriable_mod::value;
// mod_type& md = voriable_mod::value;
// using Mint = Modular<voriable_mod>;
constexpr int md = 1'000'000'007;
using mint = modular<std::integral_constant<std::decay_t<decltype(md)>, md>>;
int main()
{
std::cin.tie(0); std::cin.sync_with_stdio(false);
int T, a, b, c, d, e;
std::cin >> T >> a >> b >> c >> d >> e;
std::vector<int> dif = {-a, a, -b, b, -c, c};
int n = 10'000;
int N = 2 * n + 1;
auto dp = std::vector<mint>(N, 0);
dp.at(n) = 1;
loop(T)
{
auto new_dp = std::vector<mint>(N, 0);
rep(i, 0, N)
{
rep(k, 0, 6)
{
int j = i + dif.at(k);
if (j < 0 || N <= j) continue;
new_dp.at(j) += dp.at(i);
}
}
dp = new_dp;
}
auto ret = std::accumulate(dp.begin() + n + d, dp.begin() + n + e + 1, mint(0));
std::cout << ret << std::endl;
return 0;
}
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