結果
問題 | No.2529 Treasure Hunter |
ユーザー |
👑 |
提出日時 | 2023-11-03 21:47:06 |
言語 | C++23 (gcc 13.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 18 ms / 2,000 ms |
コード長 | 23,008 bytes |
コンパイル時間 | 3,439 ms |
コンパイル使用メモリ | 262,256 KB |
実行使用メモリ | 6,944 KB |
最終ジャッジ日時 | 2024-09-25 19:54:53 |
合計ジャッジ時間 | 4,188 ms |
ジャッジサーバーID (参考情報) |
judge3 / judge2 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 1 |
other | AC * 22 |
ソースコード
// #pragma GCC target("avx2")// #pragma GCC optimize("O3")// #pragma GCC optimize("unroll-loops")#include <bits/stdc++.h>using namespace std;namespace templates {// typeusing ll = long long;using ull = unsigned long long;template <class T>using pq = priority_queue<T>;template <class T>using qp = priority_queue<T, vector<T>, greater<T>>;#define vec(T, A, ...) vector<T> A(__VA_ARGS__);#define vvec(T, A, h, ...) vector<vector<T>> A(h, vector<T>(__VA_ARGS__));#define vvvec(T, A, h1, h2, ...) vector<vector<vector<T>>> A(h1, vector<vector<T>>(h2, vector<T>(__VA_ARGS__)));// for loop#define fori1(a) for (ll _ = 0; _ < (a); _++)#define fori2(i, a) for (ll i = 0; i < (a); i++)#define fori3(i, a, b) for (ll i = (a); i < (b); i++)#define fori4(i, a, b, c) for (ll i = (a); ((c) > 0 || i > (b)) && ((c) < 0 || i < (b)); i += (c))#define overload4(a, b, c, d, e, ...) e#define fori(...) overload4(__VA_ARGS__, fori4, fori3, fori2, fori1)(__VA_ARGS__)// declare and input// clang-format off#define INT(...) int __VA_ARGS__; inp(__VA_ARGS__);#define LL(...) ll __VA_ARGS__; inp(__VA_ARGS__);#define STRING(...) string __VA_ARGS__; inp(__VA_ARGS__);#define CHAR(...) char __VA_ARGS__; inp(__VA_ARGS__);#define DOUBLE(...) double __VA_ARGS__; STRING(str___); __VA_ARGS__ = stod(str___);#define VEC(T, A, n) vector<T> A(n); inp(A);#define VVEC(T, A, n, m) vector<vector<T>> A(n, vector<T>(m)); inp(A);// clang-format on// const valueconst ll MOD1 = 1000000007;const ll MOD9 = 998244353;const double PI = acos(-1);// other macro#ifndef RIN__LOCAL#define endl "\n"#endif#define spa ' '#define len(A) ll(A.size())#define all(A) begin(A), end(A)// functionvector<char> stoc(string &S) {int n = S.size();vector<char> ret(n);for (int i = 0; i < n; i++) ret[i] = S[i];return ret;}string ctos(vector<char> &S) {int n = S.size();string ret = "";for (int i = 0; i < n; i++) ret += S[i];return ret;}template <class T>auto min(const T &a) {return *min_element(all(a));}template <class T>auto max(const T &a) {return *max_element(all(a));}template <class T, class S>auto clamp(T &a, const S &l, const S &r) {return (a > r ? r : a < l ? l : a);}template <class T, class S>inline bool chmax(T &a, const S &b) {return (a < b ? a = b, 1 : 0);}template <class T, class S>inline bool chmin(T &a, const S &b) {return (a > b ? a = b, 1 : 0);}template <class T, class S>inline bool chclamp(T &a, const S &l, const S &r) {auto b = clamp(a, l, r);return (a != b ? a = b, 1 : 0);}template <typename T>T sum(vector<T> &A) {T tot = 0;for (auto a : A) tot += a;return tot;}template <typename T>vector<T> compression(vector<T> X) {sort(all(X));X.erase(unique(all(X)), X.end());return X;}// input and outputnamespace io {// vector<T>template <typename T>istream &operator>>(istream &is, vector<T> &A) {for (auto &a : A) is >> a;return is;}template <typename T>ostream &operator<<(ostream &os, vector<T> &A) {for (size_t i = 0; i < A.size(); i++) {os << A[i];if (i != A.size() - 1) os << ' ';}return os;}// vector<vector<T>>template <typename T>istream &operator>>(istream &is, vector<vector<T>> &A) {for (auto &a : A) is >> a;return is;}template <typename T>ostream &operator<<(ostream &os, vector<vector<T>> &A) {for (size_t i = 0; i < A.size(); i++) {os << A[i];if (i != A.size() - 1) os << endl;}return os;}// pair<S, T>template <typename S, typename T>istream &operator>>(istream &is, pair<S, T> &A) {is >> A.first >> A.second;return is;}template <typename S, typename T>ostream &operator<<(ostream &os, pair<S, T> &A) {os << A.first << ' ' << A.second;return os;}// vector<pair<S, T>>template <typename S, typename T>istream &operator>>(istream &is, vector<pair<S, T>> &A) {for (size_t i = 0; i < A.size(); i++) {is >> A[i];}return is;}template <typename S, typename T>ostream &operator<<(ostream &os, vector<pair<S, T>> &A) {for (size_t i = 0; i < A.size(); i++) {os << A[i];if (i != A.size() - 1) os << endl;}return os;}// tupletemplate <typename T, size_t N>struct TuplePrint {static ostream &print(ostream &os, const T &t) {TuplePrint<T, N - 1>::print(os, t);os << ' ' << get<N - 1>(t);return os;}};template <typename T>struct TuplePrint<T, 1> {static ostream &print(ostream &os, const T &t) {os << get<0>(t);return os;}};template <typename... Args>ostream &operator<<(ostream &os, const tuple<Args...> &t) {TuplePrint<decltype(t), sizeof...(Args)>::print(os, t);return os;}// io functionsvoid FLUSH() {cout << flush;}void print() {cout << endl;}template <class Head, class... Tail>void print(Head &&head, Tail &&...tail) {cout << head;if (sizeof...(Tail)) cout << spa;print(forward<Tail>(tail)...);}template <typename T, typename S>void prisep(vector<T> &A, S sep) {int n = A.size();for (int i = 0; i < n; i++) {cout << A[i];if (i != n - 1) cout << sep;}cout << endl;}template <typename T, typename S>void priend(T A, S end) {cout << A << end;}template <typename T>void prispa(T A) {priend(A, spa);}template <typename T, typename S>bool printif(bool f, T A, S B) {if (f)print(A);elseprint(B);return f;}template <class... T>void inp(T &...a) {(cin >> ... >> a);}} // namespace iousing namespace io;// read graphvector<vector<int>> read_edges(int n, int m, bool direct = false, int indexed = 1) {vector<vector<int>> edges(n, vector<int>());for (int i = 0; i < m; i++) {INT(u, v);u -= indexed;v -= indexed;edges[u].push_back(v);if (!direct) edges[v].push_back(u);}return edges;}vector<vector<int>> read_tree(int n, int indexed = 1) {return read_edges(n, n - 1, false, indexed);}template <typename T = long long>vector<vector<pair<int, T>>> read_wedges(int n, int m, bool direct = false, int indexed = 1) {vector<vector<pair<int, T>>> edges(n, vector<pair<int, T>>());for (int i = 0; i < m; i++) {INT(u, v);T w;inp(w);u -= indexed;v -= indexed;edges[u].push_back({v, w});if (!direct) edges[v].push_back({u, w});}return edges;}template <typename T = long long>vector<vector<pair<int, T>>> read_wtree(int n, int indexed = 1) {return read_wedges<T>(n, n - 1, false, indexed);}// yes / nonamespace yesno {// yesinline bool yes(bool f = true) {cout << (f ? "yes" : "no") << endl;return f;}inline bool Yes(bool f = true) {cout << (f ? "Yes" : "No") << endl;return f;}inline bool YES(bool f = true) {cout << (f ? "YES" : "NO") << endl;return f;}// noinline bool no(bool f = true) {cout << (!f ? "yes" : "no") << endl;return f;}inline bool No(bool f = true) {cout << (!f ? "Yes" : "No") << endl;return f;}inline bool NO(bool f = true) {cout << (!f ? "YES" : "NO") << endl;return f;}// possibleinline bool possible(bool f = true) {cout << (f ? "possible" : "impossible") << endl;return f;}inline bool Possible(bool f = true) {cout << (f ? "Possible" : "Impossible") << endl;return f;}inline bool POSSIBLE(bool f = true) {cout << (f ? "POSSIBLE" : "IMPOSSIBLE") << endl;return f;}// impossibleinline bool impossible(bool f = true) {cout << (!f ? "possible" : "impossible") << endl;return f;}inline bool Impossible(bool f = true) {cout << (!f ? "Possible" : "Impossible") << endl;return f;}inline bool IMPOSSIBLE(bool f = true) {cout << (!f ? "POSSIBLE" : "IMPOSSIBLE") << endl;return f;}// Alice Bobinline bool Alice(bool f = true) {cout << (f ? "Alice" : "Bob") << endl;return f;}inline bool Bob(bool f = true) {cout << (f ? "Bob" : "Alice") << endl;return f;}// Takahashi Aokiinline bool Takahashi(bool f = true) {cout << (f ? "Takahashi" : "Aoki") << endl;return f;}inline bool Aoki(bool f = true) {cout << (f ? "Aoki" : "Takahashi") << endl;return f;}} // namespace yesnousing namespace yesno;} // namespace templatesusing namespace templates;template <int MOD>struct Modint {int x;Modint() : x(0) {}Modint(int64_t y) {if (y >= 0)x = y % MOD;elsex = (y % MOD + MOD) % MOD;}Modint &operator+=(const Modint &p) {x += p.x;if (x >= MOD) x -= MOD;return *this;}Modint &operator-=(const Modint &p) {x -= p.x;if (x < 0) x += MOD;return *this;}Modint &operator*=(const Modint &p) {x = int(1LL * x * p.x % MOD);return *this;}Modint &operator/=(const Modint &p) {*this *= p.inverse();return *this;}Modint &operator%=(const Modint &p) {assert(p.x == 0);return *this;}Modint operator-() const {return Modint(-x);}Modint &operator++() {x++;if (x == MOD) x = 0;return *this;}Modint &operator--() {if (x == 0) x = MOD;x--;return *this;}Modint operator++(int) {Modint result = *this;++*this;return result;}Modint operator--(int) {Modint result = *this;--*this;return result;}friend Modint operator+(const Modint &lhs, const Modint &rhs) {return Modint(lhs) += rhs;}friend Modint operator-(const Modint &lhs, const Modint &rhs) {return Modint(lhs) -= rhs;}friend Modint operator*(const Modint &lhs, const Modint &rhs) {return Modint(lhs) *= rhs;}friend Modint operator/(const Modint &lhs, const Modint &rhs) {return Modint(lhs) /= rhs;}friend Modint operator%(const Modint &lhs, const Modint &rhs) {assert(rhs.x == 0);return Modint(lhs);}bool operator==(const Modint &p) const {return x == p.x;}bool operator!=(const Modint &p) const {return x != p.x;}bool operator<(const Modint &rhs) const {return x < rhs.x;}bool operator<=(const Modint &rhs) const {return x <= rhs.x;}bool operator>(const Modint &rhs) const {return x > rhs.x;}bool operator>=(const Modint &rhs) const {return x >= rhs.x;}Modint inverse() const {int a = x, b = MOD, u = 1, v = 0, t;while (b > 0) {t = a / b;a -= t * b;u -= t * v;std::swap(a, b);std::swap(u, v);}return Modint(u);}Modint pow(int64_t k) const {Modint ret(1);Modint y(x);while (k > 0) {if (k & 1) ret *= y;y *= y;k >>= 1;}return ret;}friend std::ostream &operator<<(std::ostream &os, const Modint &p) {return os << p.x;}friend std::istream &operator>>(std::istream &is, Modint &p) {int64_t y;is >> y;p = Modint<MOD>(y);return (is);}static int get_mod() {return MOD;}};struct Arbitrary_Modint {int x;static int MOD;static void set_mod(int mod) {MOD = mod;}Arbitrary_Modint() : x(0) {}Arbitrary_Modint(int64_t y) {if (y >= 0)x = y % MOD;elsex = (y % MOD + MOD) % MOD;}Arbitrary_Modint &operator+=(const Arbitrary_Modint &p) {x += p.x;if (x >= MOD) x -= MOD;return *this;}Arbitrary_Modint &operator-=(const Arbitrary_Modint &p) {x -= p.x;if (x < 0) x += MOD;return *this;}Arbitrary_Modint &operator*=(const Arbitrary_Modint &p) {x = int(1LL * x * p.x % MOD);return *this;}Arbitrary_Modint &operator/=(const Arbitrary_Modint &p) {*this *= p.inverse();return *this;}Arbitrary_Modint &operator%=(const Arbitrary_Modint &p) {assert(p.x == 0);return *this;}Arbitrary_Modint operator-() const {return Arbitrary_Modint(-x);}Arbitrary_Modint &operator++() {x++;if (x == MOD) x = 0;return *this;}Arbitrary_Modint &operator--() {if (x == 0) x = MOD;x--;return *this;}Arbitrary_Modint operator++(int) {Arbitrary_Modint result = *this;++*this;return result;}Arbitrary_Modint operator--(int) {Arbitrary_Modint result = *this;--*this;return result;}friend Arbitrary_Modint operator+(const Arbitrary_Modint &lhs, const Arbitrary_Modint &rhs) {return Arbitrary_Modint(lhs) += rhs;}friend Arbitrary_Modint operator-(const Arbitrary_Modint &lhs, const Arbitrary_Modint &rhs) {return Arbitrary_Modint(lhs) -= rhs;}friend Arbitrary_Modint operator*(const Arbitrary_Modint &lhs, const Arbitrary_Modint &rhs) {return Arbitrary_Modint(lhs) *= rhs;}friend Arbitrary_Modint operator/(const Arbitrary_Modint &lhs, const Arbitrary_Modint &rhs) {return Arbitrary_Modint(lhs) /= rhs;}friend Arbitrary_Modint operator%(const Arbitrary_Modint &lhs, const Arbitrary_Modint &rhs) {assert(rhs.x == 0);return Arbitrary_Modint(lhs);}bool operator==(const Arbitrary_Modint &p) const {return x == p.x;}bool operator!=(const Arbitrary_Modint &p) const {return x != p.x;}bool operator<(const Arbitrary_Modint &rhs) {return x < rhs.x;}bool operator<=(const Arbitrary_Modint &rhs) {return x <= rhs.x;}bool operator>(const Arbitrary_Modint &rhs) {return x > rhs.x;}bool operator>=(const Arbitrary_Modint &rhs) {return x >= rhs.x;}Arbitrary_Modint inverse() const {int a = x, b = MOD, u = 1, v = 0, t;while (b > 0) {t = a / b;a -= t * b;u -= t * v;std::swap(a, b);std::swap(u, v);}return Arbitrary_Modint(u);}Arbitrary_Modint pow(int64_t k) const {Arbitrary_Modint ret(1);Arbitrary_Modint y(x);while (k > 0) {if (k & 1) ret *= y;y *= y;k >>= 1;}return ret;}friend std::ostream &operator<<(std::ostream &os, const Arbitrary_Modint &p) {return os << p.x;}friend std::istream &operator>>(std::istream &is, Arbitrary_Modint &p) {int64_t y;is >> y;p = Arbitrary_Modint(y);return (is);}static int get_mod() {return MOD;}};int Arbitrary_Modint::MOD = 998244353;using modint9 = Modint<998244353>;using modint1 = Modint<1000000007>;using modint = Arbitrary_Modint;using mint = modint9;template <typename T>struct Combination {int N;std::vector<T> fact, invfact;Combination(int N) : N(N) {fact.resize(N + 1);invfact.resize(N + 1);fact[0] = 1;for (int i = 1; i <= N; i++) {fact[i] = fact[i - 1] * i;}invfact[N] = T(1) / fact[N];for (int i = N - 1; i >= 0; i--) {invfact[i] = invfact[i + 1] * (i + 1);}}void extend(int n) {int le = fact.size();fact.resize(n + 1);invfact.resize(n + 1);for (int i = le; i <= n; i++) {fact[i] = fact[i - 1] * i;}invfact[n] = T(1) / fact[n];for (int i = n - 1; i >= le; i--) {invfact[i] = invfact[i + 1] * (i + 1);}}T nCk(int n, int k) {if (k > n || k < 0) return T(0);if (n >= int(fact.size())) extend(n);return fact[n] * invfact[k] * invfact[n - k];}T nPk(int n, int k) {if (k > n || k < 0) return T(0);if (n >= int(fact.size())) extend(n);return fact[n] * invfact[n - k];}T nHk(int n, int k) {if (n == 0 && k == 0) return T(1);return nCk(n + k - 1, k);}T Catalan(int n) {return nCk(2 * n, n) - nCk(2 * n, n + 1);}// n 個の +1, m 個の -1, 累積和が常にk以下T Catalan(int n, int m, int k) {if (n > m + k || k < 0)return T(0);elsereturn nCk(n + m, n) - nCk(n + m, m + k + 1);}};template <typename type>struct Matrix {int n, m;std::vector<std::vector<type>> A;Matrix() = default;Matrix(int n, int m) : n(n), m(m), A(n, std::vector<type>(m, 0)) {}Matrix(int n) : n(n), m(n), A(n, std::vector<type>(n, 0)) {}Matrix(std::vector<std::vector<type>> A) : n(A.size()), m(A[0].size()), A(A) {}inline const std::vector<type> &operator[](int k) const {return (A.at(k));}inline std::vector<type> &operator[](int k) {return (A.at(k));}Matrix T() {Matrix<type> B(m, n);for (int i = 0; i < m; i++)for (int j = 0; j < n; j++) {B.A[i][j] = A[j][i];}return B;}Matrix &operator+=(const Matrix &B) {assert(n == int(B.A.size()));assert(m == int(B.A[0].size()));for (int i = 0; i < n; i++)for (int j = 0; j < m; j++) {this->A[i][j] += B[i][j];}return *this;}Matrix &operator-=(const Matrix &B) {assert(n == int(B.A.size()));assert(m == int(B.A[0].size()));for (int i = 0; i < n; i++)for (int j = 0; j < m; j++) {this->A[i][j] -= B[i][j];}return *this;}Matrix &operator*=(const Matrix &B) {int k = B[0].size();assert(m == int(B.A.size()));std::vector<std::vector<type>> C(n, std::vector<type>(k, 0));for (int i = 0; i < n; i++)for (int j = 0; j < k; j++) {for (int l = 0; l < m; l++) {C[i][j] += this->A[i][l] * B[l][j];}}swap(this->A, C);return *this;}template <typename Ti>Matrix &operator*=(const Ti x) {for (auto &row : A) {for (auto &e : row) {e *= x;}}return *this;}Matrix operator-() {return (Matrix(*this) *= -1);}Matrix operator+(const Matrix &B) const {return (Matrix(*this) += B);}Matrix operator-(const Matrix &B) const {return (Matrix(*this) -= B);}Matrix operator*(const Matrix &B) const {return (Matrix(*this) *= B);}type det() {auto arr = A;assert(n == m);type ret = 1;for (int i = 0; i < n; i++) {if (arr[i][i] == 0) {bool ng = true;for (int j = i + 1; j < n; j++) {if (arr[j][i] == 0) continue;swap(arr[i], arr[j]);ret *= -1;ng = false;break;}if (ng) return 0;}ret *= arr[i][i];type inv = type(1) / arr[i][i];for (int j = i; j < n; j++) arr[i][j] *= inv;for (int j = i + 1; j < n; j++) {type x = arr[j][i];for (int k = i; k < n; k++) {arr[j][k] -= arr[i][k] * x;}}}return ret;}void I() {assert(n == m);for (int i = 0; i < n; i++) {for (int j = 0; j < m; j++) {if (i == j)A[i][j] = 1;elseA[i][j] = 0;}}}Matrix<type> inv() {assert(n == m);Matrix<type> ret(n);ret.I();auto &B = ret.A;auto arr = A;for (int j = 0; j < n; j++) {int ii = -1;for (int i = j; i < n; i++) {if (arr[i][j] != 0) {ii = i;break;}}if (ii == -1) {return {};}swap(arr[j], arr[ii]);swap(B[j], B[ii]);ii = j;type inv = type(1) / arr[ii][j];for (int jj = 0; jj < n; jj++) {B[ii][jj] *= inv;arr[ii][jj] *= inv;}for (int i = 0; i < n; i++) {if (i == ii) continue;type t = arr[i][j];for (int jj = 0; jj < n; jj++) {arr[i][jj] -= arr[ii][jj] * t;B[i][jj] -= B[ii][jj] * t;}}}return ret;}int choose_pivot(int h, int c) const {for (int j = h; j < n; j++) {if (A[j][c] != type(0)) return j;}return -1;}friend std::ostream &operator<<(std::ostream &os, const Matrix &p) {for (int i = 0; i < p.n; i++) {for (auto &x : p.A[i]) {os << x << " ";}if (i != p.n - 1) {os << "\n";}}return (os);}friend std::istream &operator>>(std::istream &is, Matrix &p) {for (auto &row : p.A) {for (auto &x : row) {is >> x;}}return (is);}};template <typename T>Matrix<T> Matrix_exp(Matrix<T> A, Matrix<T> B, long long k) {assert(A.A.size() == A[0].size());assert(A.A.size() == B.A.size());assert(B.A[0].size() == 1u);while (k > 0) {if (k & 1) B = A * B;A *= A;k >>= 1;}return B;}void solve() {LL(n, m);Matrix<mint> A(3, 3);Matrix<mint> B(3, 1);B[0][0] = 1;A[0][0] = 1;A[0][1] = 1;A[0][2] = 1;A[1][0] = n;A[1][1] = n - 1;A[1][2] = n - 2;A[2][0] = n * (n - 1) / 2 - n;A[2][1] = (n - 1) * (n - 2) / 2 - n + 2;A[2][2] = (n - 2) * (n - 3) / 2 - n + 4;if (n == 2) {A[2][0] = 0;}auto C = Matrix_exp(A, B, m);print(C[0][0] + C[1][0] + C[2][0]);}int main() {cin.tie(0)->sync_with_stdio(0);// cout << fixed << setprecision(12);int t;t = 1;cin >> t;while (t--) solve();return 0;}