結果
問題 | No.2237 Xor Sum Hoge |
ユーザー | 👑 rin204 |
提出日時 | 2023-03-03 23:01:58 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 1,395 ms / 10,000 ms |
コード長 | 20,684 bytes |
コンパイル時間 | 2,837 ms |
コンパイル使用メモリ | 223,724 KB |
実行使用メモリ | 7,864 KB |
最終ジャッジ日時 | 2024-09-18 00:11:29 |
合計ジャッジ時間 | 23,527 ms |
ジャッジサーバーID (参考情報) |
judge5 / judge4 |
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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 | 1,395 ms
7,864 KB |
testcase_01 | AC | 5 ms
6,944 KB |
testcase_02 | AC | 5 ms
6,944 KB |
testcase_03 | AC | 5 ms
6,940 KB |
testcase_04 | AC | 9 ms
6,940 KB |
testcase_05 | AC | 16 ms
6,940 KB |
testcase_06 | AC | 9 ms
6,940 KB |
testcase_07 | AC | 9 ms
6,944 KB |
testcase_08 | AC | 9 ms
6,940 KB |
testcase_09 | AC | 9 ms
6,940 KB |
testcase_10 | AC | 17 ms
6,940 KB |
testcase_11 | AC | 2 ms
6,944 KB |
testcase_12 | AC | 3 ms
6,940 KB |
testcase_13 | AC | 3 ms
6,944 KB |
testcase_14 | AC | 660 ms
6,940 KB |
testcase_15 | AC | 2 ms
6,940 KB |
testcase_16 | AC | 667 ms
6,944 KB |
testcase_17 | AC | 3 ms
6,944 KB |
testcase_18 | AC | 313 ms
6,940 KB |
testcase_19 | AC | 316 ms
6,940 KB |
testcase_20 | AC | 669 ms
6,940 KB |
testcase_21 | AC | 1,389 ms
7,760 KB |
testcase_22 | AC | 1,380 ms
7,568 KB |
testcase_23 | AC | 1,380 ms
7,732 KB |
testcase_24 | AC | 1,384 ms
7,724 KB |
testcase_25 | AC | 1,382 ms
7,576 KB |
testcase_26 | AC | 1,393 ms
7,760 KB |
testcase_27 | AC | 1,373 ms
7,804 KB |
testcase_28 | AC | 1,386 ms
7,604 KB |
testcase_29 | AC | 1,387 ms
7,700 KB |
testcase_30 | AC | 1,392 ms
7,856 KB |
testcase_31 | AC | 2 ms
6,940 KB |
testcase_32 | AC | 2 ms
6,944 KB |
testcase_33 | AC | 15 ms
6,944 KB |
testcase_34 | AC | 2 ms
6,944 KB |
ソースコード
#line 1 "A.cpp" // #pragma GCC target("avx2") // #pragma GCC optimize("O3") // #pragma GCC optimize("unroll-loops") #include<bits/stdc++.h> using namespace std; using 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__))); #ifndef RIN__LOCAL #define endl "\n" #endif #define spa ' ' #define len(A) A.size() #define all(A) begin(A), end(A) #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__) template <typename T> vector<tuple<ll, T>> ENUMERATE(vector<T> &A, ll s = 0){ vector<tuple<ll, T>> ret(A.size()); for(int i = 0; i < A.size(); i++) ret[i] = {i + s, A[i]}; return ret; } vector<tuple<ll, char>> ENUMERATE(string &A, ll s = 0){ vector<tuple<ll, char>> ret(A.size()); for(int i = 0; i < A.size(); i++) ret[i] = {i + s, A[i]}; return ret; } #define enum1(A) fori(A.size()) #define enum2(a, A) for(auto a:A) #define enum3(i, a, A) for(auto&& [i, a]: ENUMERATE(A)) #define enum4(i, a, A, s) for(auto&& [i, a]: ENUMERATE(A, s)) #define enum(...) overload4(__VA_ARGS__, enum4, enum3, enum2, enum1)(__VA_ARGS__) template <typename T, typename S> vector<tuple<T, S>> ZIP(vector<T> &A, vector<S> &B){ int n = min(A.size(), B.size()); vector<tuple<T, S>> ret(n); for(int i = 0; i < n; i++) ret[i] = {A[i], B[i]}; return ret; } template <typename T, typename S> vector<tuple<ll, T, S>> ENUMZIP(vector<T> &A, vector<S> &B, ll s = 0){ int n = min(A.size(), B.size()); vector<tuple<ll, T, S>> ret(n); for(int i = 0; i < n; i++) ret[i] = {i + s, A[i], B[i]}; return ret; } #define zip4(a, b, A, B) for(auto&& [a, b]: ZIP(A, B)) #define enumzip5(i, a, b, A, B) for(auto&& [i, a, b]: ENUMZIP(A, B)) #define enumzip6(i, a, b, A, B, s) for(auto&& [i, a, b]: ENUMZIP(A, B, s)) #define overload6(a, b, c, d, e, f, g, ...) g #define zip(...) overload6(__VA_ARGS__, enumzip6, enumzip5, zip4, _, _, _)(__VA_ARGS__) vector<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; } #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 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); const ll MOD1 = 1000000007; const ll MOD9 = 998244353; 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> 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); } void 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> void print(vector<T> &A){ int n = A.size(); for(int i = 0; i < n; i++){ cout << A[i]; if(i != n - 1) cout << ' '; } cout << endl; } template<typename T> void print(vector<vector<T>> &A){ for(auto &row: A) print(row); } template<typename T, typename S> void print(pair<T, S> &A){ cout << A.first << spa << A.second << endl; } template<typename T, typename S> void print(vector<pair<T, S>> &A){ for(auto &row: A) print(row); } 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 << endl; else cout << sep; } } template<typename T, typename S> void priend(T A, S end){ cout << A << end; } template<typename T> void priend(T A){ priend(A, spa); } template<class... T> void inp(T&... a){ (cin >> ... >> a); } template<typename T> void inp(vector<T> &A){ for(auto &a:A) cin >> a; } template<typename T> void inp(vector<vector<T>> &A){ for(auto &row:A) inp(row); } template<typename T, typename S> void inp(pair<T, S> &A){ inp(A.first, A.second); } template<typename T, typename S> void inp(vector<pair<T, S>> &A){ for(auto &row: A) inp(row.first, row.second); } template<typename T> T sum(vector<T> &A){ T tot = 0; for(auto a:A) tot += a; return tot; } template<typename T> pair<vector<T>, map<T, int>> compression(vector<T> X){ sort(all(X)); X.erase(unique(all(X)), X.end()); map<T, int> mp; for(int i = 0; i < X.size(); i++) mp[X[i]] = i; return {X, mp}; } #line 2 "Library/C++/other/Modint.hpp" template<int MOD> struct Modint{ int x; Modint() : x(0){} Modint(int64_t y){ if(y >= 0) x = y % MOD; else x = (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) { return x < rhs.x; } bool operator<=(const Modint &rhs) { return x <= rhs.x; } bool operator>(const Modint &rhs) { return x > rhs.x; } bool operator>=(const Modint &rhs) { 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; swap(a, b); 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 ostream &operator<<(ostream &os, const Modint &p){ return os << p.x; } friend istream &operator>>(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; else x = (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; swap(a, b); 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 ostream &operator<<(ostream &os, const Arbitrary_Modint &p){ return os << p.x; } friend istream &operator>>(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; #line 188 "A.cpp" using mint = modint9; #line 2 "Library/C++/math/modinv.hpp" template<typename T> T modinv(T a, T MOD){ T b = MOD; T u = 1; T v = 0; while(b > 0){ T t = a / b; a -= t * b; u -= t * v; swap(a, b); swap(u, v); } if(a != 1) return -1; if(u < 0) u += MOD; return u; } #line 3 "Library/C++/math/Combination.hpp" template <typename T> struct Combination{ int N; 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); } } T nCk(int n, int k){ assert(0 <= n && n <= N); if(k > n || k < 0) return T(0); return fact[n] * invfact[k] * invfact[n - k]; } T nPk(int n, int k){ assert(0 <= n && n <= N); if(k > n || k < 0) return T(0); 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); } }; #line 2 "Library/C++/convolution/NTT.hpp" template<typename mint> struct NumberTheoreticTransform{ static vector<mint> roots, iroots, rate3, irate3; static int max_base; NumberTheoreticTransform() = default; static void init(){ if(!roots.empty()) return; const unsigned mod = mint::get_mod(); auto tmp = mod - 1; max_base = 0; while(tmp % 2 == 0){ tmp >>= 1; max_base++; } mint root = 2; while(root.pow((mod - 1) >> 1) == 1) root++; roots.resize(max_base + 1); iroots.resize(max_base + 1); rate3.resize(max_base + 1); irate3.resize(max_base + 1); roots[max_base] = root.pow((mod - 1) >> max_base); iroots[max_base] = mint(1) / roots[max_base]; for(int i = max_base - 1; i >= 0; i--){ roots[i] = roots[i + 1] * roots[i + 1]; iroots[i] = iroots[i + 1] * iroots[i + 1]; } mint prod = 1, iprod = 1; for(int i = 0; i <= max_base - 3; i++){ rate3[i] = roots[i + 3] * prod; irate3[i] = iroots[i + 3] * iprod; prod *= iroots[i + 3]; iprod *= roots[i + 3]; } } static void ntt(vector<mint> &A){ init(); int n = A.size(); int h = __builtin_ctz(n); int le = 0; mint imag = roots[2]; if(h & 1){ int p = 1 << (h - 1); for(int i = 0; i < p; i++){ auto r = A[i + p]; A[i + p] = A[i] - r; A[i] += r; } le++; } for(; le + 1 < h; le += 2){ int p = 1 << (h - le - 2); for(int i = 0; i < p; i++){ auto a0 = A[i]; auto a1 = A[i + p]; auto a2 = A[i + 2 * p]; auto a3 = A[i + 3 * p]; auto a1na3imag = (a1 - a3) * imag; A[i] = a0 + a2 + a1 + a3; A[i + p] = a0 + a2 - (a1 + a3); A[i + 2 * p] = a0 - a2 + a1na3imag; A[i + 3 * p] = a0 - a2 - a1na3imag; } mint rot = rate3[0]; for(int s = 1; s < (1 << le); s++){ int offset = s << (h - le); mint rot2 = rot * rot; mint rot3 = rot2 * rot; for(int i = 0; i < p; i++){ auto a0 = A[i + offset]; auto a1 = A[i + offset + p] * rot; auto a2 = A[i + offset + 2 * p] * rot2; auto a3 = A[i + offset + 3 * p] * rot3; auto a1na3imag = (a1 - a3) * imag; A[i + offset] = a0 + a2 + a1 + a3; A[i + offset + p] = a0 + a2 - (a1 + a3); A[i + offset + 2 * p] = a0 - a2 + a1na3imag; A[i + offset + 3 * p] = a0 - a2 - a1na3imag; } rot *= rate3[__builtin_ctz(~s)]; } } } static void intt(vector<mint> &A, bool f=true){ init(); int n = A.size(); int h = __builtin_ctz(n); int le = h; mint iimag = iroots[2]; for(; le > 1; le -= 2){ int p = 1 << (h - le); for(int i = 0; i < p; i++){ auto a0 = A[i]; auto a1 = A[i + p]; auto a2 = A[i + 2 * p]; auto a3 = A[i + 3 * p]; auto a2na3iimag = (a2 - a3) * iimag; A[i] = a0 + a1 + a2 + a3; A[i + p] = a0 - a1 + a2na3iimag; A[i + 2 * p] = a0 + a1 - (a2 + a3); A[i + 3 * p] = a0 - a1 - a2na3iimag; } mint irot = irate3[0]; for(int s = 1; s < (1 << (le - 2)); s++){ int offset = s << (h - le + 2); mint irot2 = irot * irot; mint irot3 = irot2 * irot; for(int i = 0; i < p; i++){ auto a0 = A[i + offset]; auto a1 = A[i + offset + p]; auto a2 = A[i + offset + 2 * p]; auto a3 = A[i + offset + 3 * p]; auto a2na3iimag = (a2 - a3) * iimag; A[i + offset] = a0 + a1 + a2 + a3; A[i + offset + p] = (a0 - a1 + a2na3iimag) * irot; A[i + offset + 2 * p] = (a0 + a1 - (a2 + a3)) * irot2; A[i + offset + 3 * p] = (a0 - a1 - a2na3iimag) * irot3; } irot *= irate3[__builtin_ctz(~s)]; } } if(le >= 1){ int p = 1 << (h - 1); for(int i = 0; i < p; i++){ auto ajp = A[i] - A[i + p]; A[i] += A[i + p]; A[i + p] = ajp; } } if(f){ mint inv = mint(1) / n; for(int i = 0; i < n; i++){ A[i] *= inv; } } } static vector<mint> multiply(vector<mint> A, vector<mint> B){ int need = A.size() + B.size() - 1; if(min(A.size(), B.size()) < 60){ vector<mint> C(need, 0); for(int i = 0; i < A.size(); i++) for(int j = 0; j < B.size(); j++){ C[i + j] += A[i] * B[j]; } return C; } int sz = 1; while(sz < need) sz <<= 1; A.resize(sz, 0); B.resize(sz, 0); ntt(A); ntt(B); mint inv = mint(1) / sz; for(int i = 0; i < sz; i++) A[i] *= B[i] * inv; intt(A, false); A.resize(need); return A; } }; template<typename mint> vector<mint> NumberTheoreticTransform<mint>::roots = vector<mint>(); template<typename mint> vector<mint> NumberTheoreticTransform<mint>::iroots = vector<mint>(); template<typename mint> vector<mint> NumberTheoreticTransform<mint>::rate3 = vector<mint>(); template<typename mint> vector<mint> NumberTheoreticTransform<mint>::irate3 = vector<mint>(); template<typename mint> int NumberTheoreticTransform< mint >::max_base = 0; #line 191 "A.cpp" using NTT = NumberTheoreticTransform<mint>; void solve(){ INT(n); LL(b, c); Combination<mint> Comb(n + 10); if(c > b){ print(0); return; } vec(mint, dp, n + 1, 0); dp[0] = 1; vec(mint, odd, n + 1, 0); vec(mint, even, n + 1, 0); fori(i, n + 1){ if(i % 2 == 0) even[i] = Comb.nCk(n, i); else odd[i] = Comb.nCk(n, i); } reverse(all(odd)); reverse(all(even)); fori(i, 59, -1, -1){ dp.resize(2 * n - 1); fori(i, 2 * n - 1, 0, -1){ if(i % 2 == 0) dp[i] = dp[i / 2]; else dp[i] = 0; } if((b >> i) & 1){ vector<mint> ndp(dp.size() + 1); ndp[0] = 0; copy(all(dp), ndp.begin() + 1); swap(dp, ndp); } vector<mint> ndp(n + 1, 0); if((c >> i) & 1){ auto res = NTT::multiply(dp, odd); fori(i, n + 1){ ndp[i] += res[n + i]; } } else{ auto res = NTT::multiply(dp, even); fori(i, n + 1){ ndp[i] += res[n + i]; } } swap(dp, ndp); } print(dp[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; }