結果
問題 | No.2917 二重木 |
ユーザー | hotman78 |
提出日時 | 2023-10-10 18:37:05 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
TLE
|
実行時間 | - |
コード長 | 23,721 bytes |
コンパイル時間 | 3,778 ms |
コンパイル使用メモリ | 239,200 KB |
実行使用メモリ | 14,112 KB |
最終ジャッジ日時 | 2024-09-13 08:59:02 |
合計ジャッジ時間 | 19,111 ms |
ジャッジサーバーID (参考情報) |
judge4 / judge2 |
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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
13,888 KB |
testcase_01 | AC | 2 ms
6,944 KB |
testcase_02 | AC | 2 ms
6,940 KB |
testcase_03 | AC | 2 ms
6,940 KB |
testcase_04 | AC | 2 ms
6,944 KB |
testcase_05 | AC | 2 ms
6,944 KB |
testcase_06 | AC | 2 ms
6,944 KB |
testcase_07 | AC | 2 ms
6,940 KB |
testcase_08 | AC | 2 ms
6,944 KB |
testcase_09 | AC | 2 ms
6,940 KB |
testcase_10 | AC | 2 ms
6,940 KB |
testcase_11 | AC | 2 ms
6,940 KB |
testcase_12 | AC | 2 ms
6,944 KB |
testcase_13 | AC | 2 ms
6,944 KB |
testcase_14 | AC | 2 ms
6,940 KB |
testcase_15 | AC | 2 ms
6,944 KB |
testcase_16 | AC | 2 ms
6,940 KB |
testcase_17 | AC | 2 ms
6,944 KB |
testcase_18 | AC | 2 ms
6,940 KB |
testcase_19 | AC | 2 ms
6,944 KB |
testcase_20 | AC | 7 ms
6,944 KB |
testcase_21 | AC | 69 ms
6,940 KB |
testcase_22 | AC | 292 ms
6,940 KB |
testcase_23 | AC | 390 ms
6,944 KB |
testcase_24 | AC | 954 ms
6,944 KB |
testcase_25 | AC | 1,233 ms
6,940 KB |
testcase_26 | AC | 1,833 ms
6,944 KB |
testcase_27 | AC | 1,842 ms
6,944 KB |
testcase_28 | TLE | - |
testcase_29 | TLE | - |
testcase_30 | -- | - |
testcase_31 | -- | - |
testcase_32 | -- | - |
testcase_33 | -- | - |
testcase_34 | -- | - |
ソースコード
// author: hotman78 // date: 2023/10/10-18:36:55 // --- begin raw code ----------------- // #include"cpplib/util/template.hpp" // #include"cpplib/math/ACL_modint.hpp" // // int main(){ // lint n,p; // cin>>n>>p; // mint::set_mod(p); // vector<mint>table(n+1); // rep(i,1,n+1)table[i]=(i==1?mint(1):mint(i).pow(i-2)); // auto f=[&](lint t){ // return table[t]; // }; // mint ans=0; // vector<vector<mint>>comb(n+1,vector<mint>(n+1,1)); // rep(i,1,n+1){ // rep(j,1,i){ // comb[i][j]=comb[i-1][j]+comb[i-1][j-1]; // } // } // rep(k,1,n+1){ // vector<mint>dp(n-k+1); // dp[0]=comb[n][k]*f(k); // rep(i,n){ // rep(j,i+1,n-k+1){ // // まだ使用していない最小インデックスを含む連結成分を付けていく // dp[j]+=dp[i]*f(j-i)*mint(j-i)*mint(k)*comb[n-k-i-1][j-i-1]; // } // } // // debug(dp); // ans+=dp[n-k]; // } // cout<<ans<<endl; // } // --- end raw code ----------------- #line 2 "cpplib/util/template.hpp" #ifdef LOCAL #define _GLIBCXX_DEBUG #endif #pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") #pragma GCC target("avx2") #include <bits/stdc++.h> using namespace std; #line 1 "cpplib/util/ioutil.hpp" // template <class Head,class... Args> // std::ostream& output(std::ostream& out,const Head& head,const Args&... args){ // out>>head; // return output(head,args...); // } // template <class Head> // std::ostream& output(std::ostream& out,const Head& head){ // out>>head; // return out; // } template <typename T, typename E> std::ostream &operator<<(std::ostream &out, std::pair<T, E> v) { out << "(" << v.first << "," << v.second << ")"; return out; } // template <class... Args> // ostream& operator<<(ostream& out,std::tuple<Args...>v){ // std::apply(output,v); // return out; // } #line 11 "cpplib/util/template.hpp" struct __INIT__ { __INIT__() { cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } } __INIT__; typedef long long lint; constexpr long long INF = 1LL << 60; constexpr int IINF = 1 << 30; constexpr double EPS = 1e-10; #ifndef REACTIVE #define endl '\n'; #endif typedef vector<lint> vec; typedef vector<vector<lint>> mat; typedef vector<vector<vector<lint>>> mat3; typedef vector<string> svec; typedef vector<vector<string>> smat; template <typename T> using V = vector<T>; template <typename T> using VV = V<V<T>>; template <typename T> inline void output(T t) { bool f = 0; for (auto i : t) { cout << (f ? " " : "") << i; f = 1; } cout << endl; } template <typename T> inline void output2(T t) { for (auto i : t) output(i); } template <typename T> inline void debug(T t) { bool f = 0; for (auto i : t) { cerr << (f ? " " : "") << i; f = 1; } cerr << endl; } template <typename T> inline void debug2(T t) { for (auto i : t) debug(i); } #define loop(n) for (long long _ = 0; _ < (long long)(n); ++_) #define _overload4(_1, _2, _3, _4, name, ...) name #define __rep(i, a) repi(i, 0, a, 1) #define _rep(i, a, b) repi(i, a, b, 1) #define repi(i, a, b, c) \ for (long long i = (long long)(a); i < (long long)(b); i += c) #define rep(...) _overload4(__VA_ARGS__, repi, _rep, __rep)(__VA_ARGS__) #define _overload3_rev(_1, _2, _3, name, ...) name #define _rep_rev(i, a) repi_rev(i, 0, a) #define repi_rev(i, a, b) \ for (long long i = (long long)(b)-1; i >= (long long)(a); --i) #define rrep(...) _overload3_rev(__VA_ARGS__, repi_rev, _rep_rev)(__VA_ARGS__) #define all(n) begin(n), end(n) template <typename T, typename E> bool chmin(T &s, const E &t) { bool res = s > t; s = min<T>(s, t); return res; } template <typename T, typename E> bool chmax(T &s, const E &t) { bool res = s < t; s = max<T>(s, t); return res; } const vector<lint> dx = {1, 0, -1, 0, 1, 1, -1, -1}; const vector<lint> dy = {0, 1, 0, -1, 1, -1, 1, -1}; #define SUM(v) accumulate(all(v), 0LL) #if __cplusplus >= 201703L template <typename T, typename... Args> auto make_vector(T x, int arg, Args... args) { if constexpr (sizeof...(args) == 0) return vector<T>(arg, x); else return vector(arg, make_vector<T>(x, args...)); } #endif #define extrep(v, ...) for (auto v : __MAKE_MAT__({__VA_ARGS__})) #define bit(n, a) ((n >> a) & 1) vector<vector<long long>> __MAKE_MAT__(vector<long long> v) { if (v.empty()) return vector<vector<long long>>(1, vector<long long>()); long long n = v.back(); v.pop_back(); vector<vector<long long>> ret; vector<vector<long long>> tmp = __MAKE_MAT__(v); for (auto e : tmp) for (long long i = 0; i < n; ++i) { ret.push_back(e); ret.back().push_back(i); } return ret; } using graph = vector<vector<int>>; template <typename T> using graph_w = vector<vector<pair<int, T>>>; #if __cplusplus >= 201703L constexpr inline long long powll(long long a, long long b) { long long res = 1; while (b--) res *= a; return res; } #endif template <typename T, typename E> pair<T, E> &operator+=(pair<T, E> &s, const pair<T, E> &t) { s.first += t.first; s.second += t.second; return s; } template <typename T, typename E> pair<T, E> &operator-=(pair<T, E> &s, const pair<T, E> &t) { s.first -= t.first; s.second -= t.second; return s; } template <typename T, typename E> pair<T, E> operator+(const pair<T, E> &s, const pair<T, E> &t) { auto res = s; return res += t; } template <typename T, typename E> pair<T, E> operator-(const pair<T, E> &s, const pair<T, E> &t) { auto res = s; return res -= t; } #define BEGIN_STACK_EXTEND(size) \ void *stack_extend_memory_ = malloc(size); \ void *stack_extend_origin_memory_; \ char *stack_extend_dummy_memory_ = (char *)alloca( \ (1 + (int)(((long long)stack_extend_memory_) & 127)) * 16); \ *stack_extend_dummy_memory_ = 0; \ asm volatile("mov %%rsp, %%rbx\nmov %%rax, %%rsp" \ : "=b"(stack_extend_origin_memory_) \ : "a"((char *)stack_extend_memory_ + (size)-1024)); #define END_STACK_EXTEND \ asm volatile("mov %%rax, %%rsp" ::"a"(stack_extend_origin_memory_)); \ free(stack_extend_memory_); int floor_pow(int n) { return n ? 31 - __builtin_clz(n) : 0; } #line 2 "cpplib/math/ACL_modint.hpp" #include <cassert> #include <numeric> #include <type_traits> #ifdef _MSC_VER #include <intrin.h> #endif #include <utility> #ifdef _MSC_VER #include <intrin.h> #endif namespace atcoder { namespace internal { constexpr long long safe_mod(long long x, long long m) { x %= m; if (x < 0) x += m; return x; } 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; #ifdef _MSC_VER unsigned long long x; _umul128(z, im, &x); #else unsigned long long x = (unsigned long long)(((unsigned __int128)(z)*im) >> 64); #endif unsigned long long y = x * _m; return (unsigned int)(z - y + (z < y ? _m : 0)); } }; 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 = 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; // |m1 * u| <= |m1| * s <= b 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 = primitive_root_constexpr(m); unsigned long long floor_sum_unsigned(unsigned long long n, unsigned long long m, unsigned long long a, unsigned long long b) { unsigned long long ans = 0; while (true) { if (a >= m) { ans += n * (n - 1) / 2 * (a / m); a %= m; } if (b >= m) { ans += n * (b / m); b %= m; } unsigned long long y_max = a * n + b; if (y_max < m) break; n = (unsigned long long)(y_max / m); b = (unsigned long long)(y_max % m); std::swap(m, a); } return ans; } } // namespace internal } // namespace atcoder #include <cassert> #include <numeric> #include <type_traits> namespace atcoder { namespace internal { #ifndef _MSC_VER template <class T> using is_signed_int128 = typename std::conditional<std::is_same<T, __int128_t>::value || std::is_same<T, __int128>::value, std::true_type, std::false_type>::type; template <class T> using is_unsigned_int128 = typename std::conditional<std::is_same<T, __uint128_t>::value || std::is_same<T, unsigned __int128>::value, std::true_type, std::false_type>::type; template <class T> using make_unsigned_int128 = typename std::conditional<std::is_same<T, __int128_t>::value, __uint128_t, unsigned __int128>; template <class T> using is_integral = typename std::conditional<std::is_integral<T>::value || is_signed_int128<T>::value || is_unsigned_int128<T>::value, std::true_type, std::false_type>::type; template <class T> using is_signed_int = typename std::conditional<(is_integral<T>::value && std::is_signed<T>::value) || is_signed_int128<T>::value, std::true_type, std::false_type>::type; template <class T> using is_unsigned_int = typename std::conditional<(is_integral<T>::value && std::is_unsigned<T>::value) || is_unsigned_int128<T>::value, std::true_type, std::false_type>::type; template <class T> using to_unsigned = typename std::conditional< is_signed_int128<T>::value, make_unsigned_int128<T>, typename std::conditional<std::is_signed<T>::value, std::make_unsigned<T>, std::common_type<T>>::type>::type; #else template <class T> using is_integral = typename std::is_integral<T>; template <class T> using is_signed_int = typename std::conditional<is_integral<T>::value && std::is_signed<T>::value, std::true_type, std::false_type>::type; template <class T> using is_unsigned_int = typename std::conditional<is_integral<T>::value && std::is_unsigned<T>::value, std::true_type, std::false_type>::type; template <class T> using to_unsigned = typename std::conditional<is_signed_int<T>::value, std::make_unsigned<T>, std::common_type<T>>::type; #endif template <class T> using is_signed_int_t = std::enable_if_t<is_signed_int<T>::value>; template <class T> using is_unsigned_int_t = std::enable_if_t<is_unsigned_int<T>::value>; template <class T> using to_unsigned_t = typename to_unsigned<T>::type; } // namespace internal } // namespace atcoder namespace atcoder { namespace internal { struct modint_base {}; struct static_modint_base : modint_base {}; template <class T> using is_modint = std::is_base_of<modint_base, T>; template <class T> using is_modint_t = std::enable_if_t<is_modint<T>::value>; } // namespace internal template <int m, std::enable_if_t<(1 <= m)> * = nullptr> struct static_modint : internal::static_modint_base { using mint = static_modint; public: static constexpr int mod() { return m; } static mint raw(int v) { mint x; x._v = v; return x; } static_modint() : _v(0) {} template <class T, internal::is_signed_int_t<T> * = nullptr> static_modint(T v) { long long x = (long long)(v % (long long)(umod())); if (x < 0) x += umod(); _v = (unsigned int)(x); } template <class T, internal::is_unsigned_int_t<T> * = nullptr> static_modint(T v) { _v = (unsigned int)(v % umod()); } 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; } mint &operator+=(const mint &rhs) { _v += rhs._v; if (_v >= umod()) _v -= umod(); return *this; } mint &operator-=(const mint &rhs) { _v -= rhs._v; if (_v >= umod()) _v += umod(); return *this; } mint &operator*=(const mint &rhs) { unsigned long long z = _v; z *= rhs._v; _v = (unsigned int)(z % umod()); 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 { if (prime) { assert(_v); return pow(umod() - 2); } else { auto eg = internal::inv_gcd(_v, m); 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; } private: unsigned int _v; static constexpr unsigned int umod() { return m; } static constexpr bool prime = internal::is_prime<m>; }; template <int id> struct dynamic_modint : internal::modint_base { using mint = dynamic_modint; public: static int mod() { return (int)(bt.umod()); } static void set_mod(int m) { assert(1 <= m); bt = internal::barrett(m); } static mint raw(int v) { mint x; x._v = v; return x; } dynamic_modint() : _v(0) {} template <class T, internal::is_signed_int_t<T> * = nullptr> dynamic_modint(T v) { long long x = (long long)(v % (long long)(mod())); if (x < 0) x += mod(); _v = (unsigned int)(x); } template <class T, internal::is_unsigned_int_t<T> * = nullptr> dynamic_modint(T v) { _v = (unsigned int)(v % mod()); } 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; } 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 = internal::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; } private: unsigned int _v; static internal::barrett bt; static unsigned int umod() { return bt.umod(); } }; template <int id> internal::barrett dynamic_modint<id>::bt(998244353); using modint998244353 = static_modint<998244353>; using modint1000000007 = static_modint<1000000007>; using modint = dynamic_modint<-1>; namespace internal { template <class T> using is_static_modint = std::is_base_of<internal::static_modint_base, T>; template <class T> using is_static_modint_t = std::enable_if_t<is_static_modint<T>::value>; template <class> struct is_dynamic_modint : public std::false_type {}; template <int id> struct is_dynamic_modint<dynamic_modint<id>> : public std::true_type {}; template <class T> using is_dynamic_modint_t = std::enable_if_t<is_dynamic_modint<T>::value>; } // namespace internal } // namespace atcoder using mint = atcoder::modint; #line 4 "cpplib/math/ACL_modint_base.hpp" std::ostream &operator<<(std::ostream &lhs, const mint &rhs) noexcept { lhs << rhs.val(); return lhs; } std::istream &operator>>(std::istream &lhs, mint &rhs) noexcept { long long x; lhs >> x; rhs = x; return lhs; } int MOD_NOW = -1; int FACT_TABLE_SIZE = 0; std::vector<mint> fact_table, fact_inv_table; void update(int x) { if (MOD_NOW != mint::mod() || FACT_TABLE_SIZE == 0) { fact_table.assign(1, 1); fact_inv_table.assign(1, 1); FACT_TABLE_SIZE = 1; MOD_NOW = mint::mod(); } while (FACT_TABLE_SIZE <= x) { fact_table.resize(FACT_TABLE_SIZE * 2); fact_inv_table.resize(FACT_TABLE_SIZE * 2); for (int i = FACT_TABLE_SIZE; i < FACT_TABLE_SIZE * 2; ++i) { fact_table[i] = fact_table[i - 1] * i; } fact_inv_table[FACT_TABLE_SIZE * 2 - 1] = fact_table[FACT_TABLE_SIZE * 2 - 1].inv(); for (int i = FACT_TABLE_SIZE * 2 - 2; i >= FACT_TABLE_SIZE; --i) { fact_inv_table[i] = fact_inv_table[i + 1] * (i + 1); } FACT_TABLE_SIZE *= 2; } } inline mint fact(int x) { assert(x >= 0); update(x); return fact_table[x]; } inline mint fact_inv(int x) { assert(x >= 0); update(x); return fact_inv_table[x]; } inline mint comb(int x, int y) { if (x < 0 || x < y || y < 0) return 0; return fact(x) * fact_inv(y) * fact_inv(x - y); } inline mint perm(int x, int y) { return fact(x) * fact_inv(x - y); } // x個のグループにy個のものを分ける場合の数 inline mint multi_comb(int x, int y) { if (y == 0 && x >= 0) return 1; if (y < 0 || x <= 0) return 0; return comb(x + y - 1, y); } #line 3 "main.cpp" int main() { lint n, p; cin >> n >> p; mint::set_mod(p); vector<mint> table(n + 1); rep(i, 1, n + 1) table[i] = (i == 1 ? mint(1) : mint(i).pow(i - 2)); auto f = [&](lint t) { return table[t]; }; mint ans = 0; vector<vector<mint>> comb(n + 1, vector<mint>(n + 1, 1)); rep(i, 1, n + 1) { rep(j, 1, i) { comb[i][j] = comb[i - 1][j] + comb[i - 1][j - 1]; } } rep(k, 1, n + 1) { vector<mint> dp(n - k + 1); dp[0] = comb[n][k] * f(k); rep(i, n) { rep(j, i + 1, n - k + 1) { // まだ使用していない最小インデックスを含む連結成分を付けていく dp[j] += dp[i] * f(j - i) * mint(j - i) * mint(k) * comb[n - k - i - 1][j - i - 1]; } } // debug(dp); ans += dp[n - k]; } cout << ans << endl; }