結果
問題 | No.2825 Sum of Scores of Sets of Specified Sections |
ユーザー |
![]() |
提出日時 | 2024-07-27 01:52:43 |
言語 | C++23 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 117 ms / 3,000 ms |
コード長 | 19,638 bytes |
コンパイル時間 | 3,901 ms |
コンパイル使用メモリ | 265,824 KB |
実行使用メモリ | 6,944 KB |
最終ジャッジ日時 | 2024-07-27 01:52:49 |
合計ジャッジ時間 | 6,579 ms |
ジャッジサーバーID (参考情報) |
judge2 / judge3 |
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テストケース
テストケース表示入力 | 結果 | 実行時間 実行使用メモリ |
---|---|---|
testcase_00 | AC | 2 ms
6,816 KB |
testcase_01 | AC | 116 ms
6,940 KB |
testcase_02 | AC | 116 ms
6,940 KB |
testcase_03 | AC | 117 ms
6,940 KB |
testcase_04 | AC | 14 ms
6,944 KB |
testcase_05 | AC | 5 ms
6,944 KB |
testcase_06 | AC | 2 ms
6,940 KB |
testcase_07 | AC | 10 ms
6,944 KB |
testcase_08 | AC | 7 ms
6,940 KB |
testcase_09 | AC | 5 ms
6,940 KB |
testcase_10 | AC | 4 ms
6,944 KB |
testcase_11 | AC | 3 ms
6,944 KB |
testcase_12 | AC | 3 ms
6,944 KB |
testcase_13 | AC | 5 ms
6,944 KB |
testcase_14 | AC | 18 ms
6,940 KB |
testcase_15 | AC | 19 ms
6,940 KB |
testcase_16 | AC | 19 ms
6,940 KB |
testcase_17 | AC | 18 ms
6,940 KB |
testcase_18 | AC | 19 ms
6,944 KB |
testcase_19 | AC | 19 ms
6,940 KB |
testcase_20 | AC | 19 ms
6,940 KB |
testcase_21 | AC | 19 ms
6,940 KB |
testcase_22 | AC | 18 ms
6,944 KB |
testcase_23 | AC | 18 ms
6,940 KB |
testcase_24 | AC | 4 ms
6,940 KB |
testcase_25 | AC | 5 ms
6,944 KB |
testcase_26 | AC | 5 ms
6,940 KB |
testcase_27 | AC | 4 ms
6,940 KB |
testcase_28 | AC | 2 ms
6,944 KB |
testcase_29 | AC | 2 ms
6,944 KB |
testcase_30 | AC | 2 ms
6,940 KB |
testcase_31 | AC | 2 ms
6,940 KB |
testcase_32 | AC | 47 ms
6,944 KB |
ソースコード
#line 2 "/Users/noya2/Desktop/Noya2_library/template/template.hpp" using namespace std; #include<bits/stdc++.h> #line 1 "/Users/noya2/Desktop/Noya2_library/template/inout_old.hpp" namespace noya2 { template <typename T, typename U> ostream &operator<<(ostream &os, const pair<T, U> &p){ os << p.first << " " << p.second; return os; } template <typename T, typename U> istream &operator>>(istream &is, pair<T, U> &p){ is >> p.first >> p.second; return is; } template <typename T> ostream &operator<<(ostream &os, const vector<T> &v){ int s = (int)v.size(); for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i]; return os; } template <typename T> istream &operator>>(istream &is, vector<T> &v){ for (auto &x : v) is >> x; return is; } void in() {} template <typename T, class... U> void in(T &t, U &...u){ cin >> t; in(u...); } void out() { cout << "\n"; } template <typename T, class... U, char sep = ' '> void out(const T &t, const U &...u){ cout << t; if (sizeof...(u)) cout << sep; out(u...); } template<typename T> void out(const vector<vector<T>> &vv){ int s = (int)vv.size(); for (int i = 0; i < s; i++) out(vv[i]); } struct IoSetup { IoSetup(){ cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); cerr << fixed << setprecision(7); } } iosetup_noya2; } // namespace noya2 #line 1 "/Users/noya2/Desktop/Noya2_library/template/const.hpp" namespace noya2{ const int iinf = 1'000'000'007; const long long linf = 2'000'000'000'000'000'000LL; const long long mod998 = 998244353; const long long mod107 = 1000000007; const long double pi = 3.14159265358979323; const vector<int> dx = {0,1,0,-1,1,1,-1,-1}; const vector<int> dy = {1,0,-1,0,1,-1,-1,1}; const string ALP = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"; const string alp = "abcdefghijklmnopqrstuvwxyz"; const string NUM = "0123456789"; void yes(){ cout << "Yes\n"; } void no(){ cout << "No\n"; } void YES(){ cout << "YES\n"; } void NO(){ cout << "NO\n"; } void yn(bool t){ t ? yes() : no(); } void YN(bool t){ t ? YES() : NO(); } } // namespace noya2 #line 2 "/Users/noya2/Desktop/Noya2_library/template/utils.hpp" #line 6 "/Users/noya2/Desktop/Noya2_library/template/utils.hpp" namespace noya2{ unsigned long long inner_binary_gcd(unsigned long long a, unsigned long long b){ if (a == 0 || b == 0) return a + b; int n = __builtin_ctzll(a); a >>= n; int m = __builtin_ctzll(b); b >>= m; while (a != b) { int mm = __builtin_ctzll(a - b); bool f = a > b; unsigned long long c = f ? a : b; b = f ? b : a; a = (c - b) >> mm; } return a << std::min(n, m); } template<typename T> T gcd_fast(T a, T b){ return static_cast<T>(inner_binary_gcd(std::abs(a),std::abs(b))); } long long sqrt_fast(long long n) { if (n <= 0) return 0; long long x = sqrt(n); while ((x + 1) * (x + 1) <= n) x++; while (x * x > n) x--; return x; } template<typename T> T floor_div(const T n, const T d) { assert(d != 0); return n / d - static_cast<T>((n ^ d) < 0 && n % d != 0); } template<typename T> T ceil_div(const T n, const T d) { assert(d != 0); return n / d + static_cast<T>((n ^ d) >= 0 && n % d != 0); } template<typename T> void uniq(std::vector<T> &v){ std::sort(v.begin(),v.end()); v.erase(unique(v.begin(),v.end()),v.end()); } template <typename T, typename U> inline bool chmin(T &x, U y) { return (y < x) ? (x = y, true) : false; } template <typename T, typename U> inline bool chmax(T &x, U y) { return (x < y) ? (x = y, true) : false; } template<typename T> inline bool range(T l, T x, T r){ return l <= x && x < r; } } // namespace noya2 #line 8 "/Users/noya2/Desktop/Noya2_library/template/template.hpp" #define rep(i,n) for (int i = 0; i < (int)(n); i++) #define repp(i,m,n) for (int i = (m); i < (int)(n); i++) #define reb(i,n) for (int i = (int)(n-1); i >= 0; i--) #define all(v) (v).begin(),(v).end() using ll = long long; using ld = long double; using uint = unsigned int; using ull = unsigned long long; using pii = pair<int,int>; using pll = pair<ll,ll>; using pil = pair<int,ll>; using pli = pair<ll,int>; namespace noya2{ /* ~ (. _________ . /) */ } using namespace noya2; #line 2 "c.cpp" #line 2 "/Users/noya2/Desktop/Noya2_library/math/matrix.hpp" #line 4 "/Users/noya2/Desktop/Noya2_library/math/matrix.hpp" namespace noya2{ template<typename T> struct Matrix{ int rows, cols; vector<vector<T>> m; Matrix (int h = 0, int w = -1, T init = T(0)) : m(h,vector<T>((w == -1 ? h : w),init)){ rows = h, cols = (w == -1 ? h : w); } Matrix (vector<vector<T>> _init) : m(_init), rows(_init.size()), cols(_init.at(0).size()){} vector<T>& operator[](const int i) const {return m[i];} vector<T>& operator[](const int i) {return m[i];} Matrix &operator+= (const Matrix &r){ assert(this->rows == r.rows && this->cols == r.cols); for (int i = 0; i < r.rows; ++i){ for (int j = 0; j < r.cols; ++j){ m[i][j] += r.m[i][j]; } } return *this; } Matrix &operator-= (const Matrix &r){ assert(this->rows == r.rows && this->cols == r.cols); for (int i = 0; i < r.rows; ++i){ for (int j = 0; j < r.cols; ++j){ m[i][j] -= r.m[i][j]; } } return *this; } Matrix &operator*= (const Matrix &r){ assert(this->cols == r.rows); Matrix res(rows, r.cols); for (int i = 0; i < rows; ++i){ for (int j = 0; j < r.cols; ++j){ for (int k = 0; k < r.rows; ++k){ res[i][j] += m[i][k] * r.m[k][j]; } } } return *this = res; } Matrix operator+ (const Matrix &r) const {return Matrix(*this) += r;} Matrix operator- (const Matrix &r) const {return Matrix(*this) -= r;} Matrix operator* (const Matrix &r) const {return Matrix(*this) *= r;} bool operator== (const Matrix &r){ if (rows != r.rows || cols != r.cols) return false; for (int i = 0; i < r.rows; ++i){ for (int j = 0; j < r.cols; ++j){ if (m[i][j] != r.m[i][j]) return false; } } return true; } Matrix& operator+=(const T &r){ for (int i = 0; i < rows; ++i){ for (int j = 0; j < cols; ++j){ m[i][j] += r; } } return *this; } Matrix& operator-=(const T &r){ for (int i = 0; i < rows; ++i){ for (int j = 0; j < cols; ++j){ m[i][j] -= r; } } return *this; } Matrix& operator*=(const T &r){ for (int i = 0; i < rows; ++i){ for (int j = 0; j < cols; ++j){ m[i][j] *= r; } } return *this; } Matrix& operator/=(const T &r){ for (int i = 0; i < rows; ++i){ for (int j = 0; j < cols; ++j){ m[i][j] /= r; } } return *this; } Matrix operator+ (const T &r) const {return Matrix(*this) += r;} Matrix operator- (const T &r) const {return Matrix(*this) -= r;} Matrix operator* (const T &r) const {return Matrix(*this) *= r;} Matrix operator/ (const T &r) const {return Matrix(*this) /= r;} Matrix e(){ assert(this->rows == this->cols); Matrix res(this->rows, this->rows); for (int i = 0; i < rows; ++i) res[i][i] = 1; return res; } Matrix pow(long long n){ assert(this->rows == this->cols); if (n == 0) return e(); Matrix f = pow(n / 2); Matrix ans = f * f; if (n % 2 == 1) ans *= *this; return ans; } // for T = int, long long, double, long double void show(){ for (int i = 0; i < rows; ++i){ for (int j = 0; j < cols; ++j){ cout << m[i][j] << (j+1 == this->cols ? "\n" : " "); } } } T determinant() const { Matrix B(*this); assert(rows == cols); T ret = 1; for (int i = 0; i < rows; i++) { int idx = -1; for (int j = i; j < cols; j++) { if (B[j][i] != 0) { idx = j; break; } } if (idx == -1) return 0; if (i != idx) { ret *= T(-1); swap(B[i], B[idx]); } ret *= B[i][i]; T inv = T(1) / B[i][i]; for (int j = 0; j < cols; j++) { B[i][j] *= inv; } for (int j = i + 1; j < rows; j++) { T a = B[j][i]; if (a == 0) continue; for (int k = i; k < cols; k++) { B[j][k] -= B[i][k] * a; } } } return ret; } }; } // namespace noya2 #line 2 "/Users/noya2/Desktop/Noya2_library/utility/modint.hpp" #line 4 "/Users/noya2/Desktop/Noya2_library/utility/modint.hpp" #line 2 "/Users/noya2/Desktop/Noya2_library/math/prime.hpp" #line 4 "/Users/noya2/Desktop/Noya2_library/math/prime.hpp" namespace noya2 { constexpr long long safe_mod(long long x, long long m) { x %= m; if (x < 0) x += m; return x; } constexpr long long pow_mod_constexpr(long long x, long long n, int m) { if (m == 1) return 0; unsigned int _m = (unsigned int)(m); unsigned long long r = 1; unsigned long long y = safe_mod(x, m); while (n) { if (n & 1) r = (r * y) % _m; y = (y * y) % _m; n >>= 1; } return r; } constexpr bool is_prime_constexpr(int n) { if (n <= 1) return false; if (n == 2 || n == 7 || n == 61) return true; if (n % 2 == 0) return false; long long d = n - 1; while (d % 2 == 0) d /= 2; constexpr long long bases[3] = {2, 7, 61}; for (long long a : bases) { long long t = d; long long y = pow_mod_constexpr(a, t, n); while (t != n - 1 && y != 1 && y != n - 1) { y = y * y % n; t <<= 1; } if (y != n - 1 && t % 2 == 0) { return false; } } return true; } template <int n> constexpr bool is_prime_flag = is_prime_constexpr(n); constexpr std::pair<long long, long long> inv_gcd(long long a, long long b) { a = safe_mod(a, b); if (a == 0) return {b, 0}; long long s = b, t = a; long long m0 = 0, m1 = 1; while (t) { long long u = s / t; s -= t * u; m0 -= m1 * u; auto tmp = s; s = t; t = tmp; tmp = m0; m0 = m1; m1 = tmp; } if (m0 < 0) m0 += b / s; return {s, m0}; } constexpr int primitive_root_constexpr(int m) { if (m == 2) return 1; if (m == 167772161) return 3; if (m == 469762049) return 3; if (m == 754974721) return 11; if (m == 998244353) return 3; int divs[20] = {}; divs[0] = 2; int cnt = 1; int x = (m - 1) / 2; while (x % 2 == 0) x /= 2; for (int i = 3; (long long)(i)*i <= x; i += 2) { if (x % i == 0) { divs[cnt++] = i; while (x % i == 0) { x /= i; } } } if (x > 1) { divs[cnt++] = x; } for (int g = 2;; g++) { bool ok = true; for (int i = 0; i < cnt; i++) { if (pow_mod_constexpr(g, (m - 1) / divs[i], m) == 1) { ok = false; break; } } if (ok) return g; } } template <int m> constexpr int primitive_root_flag = primitive_root_constexpr(m); constexpr long long primitive_root_constexpr(long long m){ if (m == (1LL << 47) - (1LL << 24) + 1) return 3; return primitive_root_constexpr(static_cast<int>(m)); } } // namespace noya2 #line 6 "/Users/noya2/Desktop/Noya2_library/utility/modint.hpp" namespace noya2{ struct barrett { unsigned int _m; unsigned long long im; explicit barrett(unsigned int m) : _m(m), im((unsigned long long)(-1) / m + 1) {} unsigned int umod() const { return _m; } unsigned int mul(unsigned int a, unsigned int b) const { unsigned long long z = a; z *= b; unsigned long long x = (unsigned long long)((__uint128_t(z) * im) >> 64); unsigned int v = (unsigned int)(z - x * _m); if (_m <= v) v += _m; return v; } }; template <int m> struct static_modint { using mint = static_modint; public: static constexpr int mod() { return m; } static mint raw(int v) { mint x; x._v = v; return x; } constexpr static_modint() : _v(0) {} template<std::signed_integral T> constexpr static_modint(T v){ long long x = (long long)(v % (long long)(umod())); if (x < 0) x += umod(); _v = (unsigned int)(x); } template<std::unsigned_integral T> constexpr static_modint(T v){ _v = (unsigned int)(v % umod()); } constexpr unsigned int val() const { return _v; } mint& operator++() { _v++; if (_v == umod()) _v = 0; return *this; } mint& operator--() { if (_v == 0) _v = umod(); _v--; return *this; } mint operator++(int) { mint result = *this; ++*this; return result; } mint operator--(int) { mint result = *this; --*this; return result; } constexpr mint& operator+=(const mint& rhs) { _v += rhs._v; if (_v >= umod()) _v -= umod(); return *this; } constexpr mint& operator-=(const mint& rhs) { _v -= rhs._v; if (_v >= umod()) _v += umod(); return *this; } constexpr mint& operator*=(const mint& rhs) { unsigned long long z = _v; z *= rhs._v; _v = (uint)(z % umod()); return *this; } constexpr mint& operator/=(const mint& rhs) { return *this = *this * rhs.inv(); } constexpr mint operator+() const { return *this; } constexpr mint operator-() const { return mint() - *this; } constexpr mint pow(long long n) const { assert(0 <= n); mint x = *this, r = 1; while (n) { if (n & 1) r *= x; x *= x; n >>= 1; } return r; } constexpr mint inv() const { if (prime) { assert(_v); return pow(umod() - 2); } else { auto eg = inv_gcd(_v, m); assert(eg.first == 1); return eg.second; } } friend constexpr mint operator+(const mint& lhs, const mint& rhs) { return mint(lhs) += rhs; } friend constexpr mint operator-(const mint& lhs, const mint& rhs) { return mint(lhs) -= rhs; } friend constexpr mint operator*(const mint& lhs, const mint& rhs) { return mint(lhs) *= rhs; } friend constexpr mint operator/(const mint& lhs, const mint& rhs) { return mint(lhs) /= rhs; } friend constexpr bool operator==(const mint& lhs, const mint& rhs) { return lhs._v == rhs._v; } friend constexpr bool operator!=(const mint& lhs, const mint& rhs) { return lhs._v != rhs._v; } friend std::ostream &operator<<(std::ostream &os, const mint& p) { return os << p.val(); } friend std::istream &operator>>(std::istream &is, mint &a) { long long t; is >> t; a = mint(t); return (is); } private: unsigned int _v; static constexpr unsigned int umod() { return m; } static constexpr bool prime = is_prime_flag<m>; }; template <int id> struct dynamic_modint { using mint = dynamic_modint; public: static int mod() { return (int)(bt.umod()); } static void set_mod(int m) { assert(1 <= m); bt = barrett(m); } static mint raw(int v) { mint x; x._v = v; return x; } dynamic_modint() : _v(0) {} template<std::signed_integral T> dynamic_modint(T v){ long long x = (long long)(v % (long long)(umod())); if (x < 0) x += umod(); _v = (unsigned int)(x); } template<std::unsigned_integral T> dynamic_modint(T v){ _v = (unsigned int)(v % umod()); } uint val() const { return _v; } mint& operator++() { _v++; if (_v == umod()) _v = 0; return *this; } mint& operator--() { if (_v == 0) _v = umod(); _v--; return *this; } mint operator++(int) { mint result = *this; ++*this; return result; } mint operator--(int) { mint result = *this; --*this; return result; } mint& operator+=(const mint& rhs) { _v += rhs._v; if (_v >= umod()) _v -= umod(); return *this; } mint& operator-=(const mint& rhs) { _v += mod() - rhs._v; if (_v >= umod()) _v -= umod(); return *this; } mint& operator*=(const mint& rhs) { _v = bt.mul(_v, rhs._v); return *this; } mint& operator/=(const mint& rhs) { return *this = *this * rhs.inv(); } mint operator+() const { return *this; } mint operator-() const { return mint() - *this; } mint pow(long long n) const { assert(0 <= n); mint x = *this, r = 1; while (n) { if (n & 1) r *= x; x *= x; n >>= 1; } return r; } mint inv() const { auto eg = noya2::inv_gcd(_v, mod()); assert(eg.first == 1); return eg.second; } friend mint operator+(const mint& lhs, const mint& rhs) { return mint(lhs) += rhs; } friend mint operator-(const mint& lhs, const mint& rhs) { return mint(lhs) -= rhs; } friend mint operator*(const mint& lhs, const mint& rhs) { return mint(lhs) *= rhs; } friend mint operator/(const mint& lhs, const mint& rhs) { return mint(lhs) /= rhs; } friend bool operator==(const mint& lhs, const mint& rhs) { return lhs._v == rhs._v; } friend bool operator!=(const mint& lhs, const mint& rhs) { return lhs._v != rhs._v; } friend std::ostream &operator<<(std::ostream &os, const mint& p) { return os << p.val(); } friend std::istream &operator>>(std::istream &is, mint &a) { long long t; is >> t; a = mint(t); return (is); } private: unsigned int _v; static barrett bt; static unsigned int umod() { return bt.umod(); } }; template <int id> noya2::barrett dynamic_modint<id>::bt(998244353); using modint998244353 = static_modint<998244353>; using modint1000000007 = static_modint<1000000007>; using modint = dynamic_modint<-1>; template<typename T> concept Modint = requires (T &a){ T::mod(); a.inv(); a.val(); a.pow(declval<int>()); }; } // namespace noya2 #line 5 "c.cpp" using mint = modint998244353; Matrix<mint> trans(Matrix<mint> a){ int h = a.rows; int w = a.cols; Matrix<mint> b(w,h); rep(i,h) rep(j,w){ b[j][i] = a[i][j]; } return b; } void solve(){ int h, w; in(h,w); Matrix<mint> a(h,w); rep(i,h) rep(j,w){ in(a[i][j]); } Matrix<mint> b(h,w); rep(i,h) rep(j,w){ in(b[i][j]); } b = trans(b); a *= b; a = a.e() + a; mint ans = a.determinant(); out(ans-1); } int main(){ int t = 1; //in(t); while (t--) { solve(); } }