結果
問題 | No.1775 Love Triangle 2 |
ユーザー |
![]() |
提出日時 | 2022-10-24 13:38:37 |
言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 94 ms / 8,000 ms |
コード長 | 22,035 bytes |
コンパイル時間 | 4,006 ms |
コンパイル使用メモリ | 273,648 KB |
最終ジャッジ日時 | 2025-02-08 12:13:06 |
ジャッジサーバーID (参考情報) |
judge4 / judge4 |
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ファイルパターン | 結果 |
---|---|
other | AC * 90 |
ソースコード
#line 1 "main.cpp"#define PROBLEM "https://yukicoder.me/problems/no/1775"#line 1 "library/my_template.hpp"#pragma GCC optimize("Ofast")#pragma GCC optimize("unroll-loops")#include <bits/stdc++.h>using namespace std;using ll = long long;using pi = pair<ll, ll>;using vi = vector<ll>;using u32 = unsigned int;using u64 = unsigned long long;using i128 = __int128;template <class T>using vc = vector<T>;template <class T>using vvc = vector<vc<T>>;template <class T>using vvvc = vector<vvc<T>>;template <class T>using vvvvc = vector<vvvc<T>>;template <class T>using vvvvvc = vector<vvvvc<T>>;template <class T>using pq = priority_queue<T>;template <class T>using pqg = priority_queue<T, vector<T>, greater<T>>;#define vec(type, name, ...) vector<type> name(__VA_ARGS__)#define vv(type, name, h, ...) \vector<vector<type>> name(h, vector<type>(__VA_ARGS__))#define vvv(type, name, h, w, ...) \vector<vector<vector<type>>> name( \h, vector<vector<type>>(w, vector<type>(__VA_ARGS__)))#define vvvv(type, name, a, b, c, ...) \vector<vector<vector<vector<type>>>> name( \a, vector<vector<vector<type>>>( \b, vector<vector<type>>(c, vector<type>(__VA_ARGS__))))// https://trap.jp/post/1224/#define FOR1(a) for (ll _ = 0; _ < ll(a); ++_)#define FOR2(i, a) for (ll i = 0; i < ll(a); ++i)#define FOR3(i, a, b) for (ll i = a; i < ll(b); ++i)#define FOR4(i, a, b, c) for (ll i = a; i < ll(b); i += (c))#define FOR1_R(a) for (ll i = (a)-1; i >= ll(0); --i)#define FOR2_R(i, a) for (ll i = (a)-1; i >= ll(0); --i)#define FOR3_R(i, a, b) for (ll i = (b)-1; i >= ll(a); --i)#define FOR4_R(i, a, b, c) for (ll i = (b)-1; i >= ll(a); i -= (c))#define overload4(a, b, c, d, e, ...) e#define FOR(...) overload4(__VA_ARGS__, FOR4, FOR3, FOR2, FOR1)(__VA_ARGS__)#define FOR_R(...) \overload4(__VA_ARGS__, FOR4_R, FOR3_R, FOR2_R, FOR1_R)(__VA_ARGS__)#define FOR_subset(t, s) for (ll t = s; t >= 0; t = (t == 0 ? -1 : (t - 1) & s))#define all(x) x.begin(), x.end()#define len(x) ll(x.size())#define elif else if#define eb emplace_back#define mp make_pair#define mt make_tuple#define fi first#define se second#define stoi stolltemplate <typename T, typename U>T SUM(const vector<U> &A) {T sum = 0;for (auto &&a: A) sum += a;return sum;}#define MIN(v) *min_element(all(v))#define MAX(v) *max_element(all(v))#define LB(c, x) distance((c).begin(), lower_bound(all(c), (x)))#define UB(c, x) distance((c).begin(), upper_bound(all(c), (x)))#define UNIQUE(x) sort(all(x)), x.erase(unique(all(x)), x.end())int popcnt(int x) { return __builtin_popcount(x); }int popcnt(u32 x) { return __builtin_popcount(x); }int popcnt(ll x) { return __builtin_popcountll(x); }int popcnt(u64 x) { return __builtin_popcountll(x); }// (0, 1, 2, 3, 4) -> (-1, 0, 1, 1, 2)int topbit(int x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); }int topbit(u32 x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); }int topbit(ll x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); }int topbit(u64 x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); }// (0, 1, 2, 3, 4) -> (-1, 0, 1, 0, 2)int lowbit(int x) { return (x == 0 ? -1 : __builtin_ctz(x)); }int lowbit(u32 x) { return (x == 0 ? -1 : __builtin_ctz(x)); }int lowbit(ll x) { return (x == 0 ? -1 : __builtin_ctzll(x)); }int lowbit(u64 x) { return (x == 0 ? -1 : __builtin_ctzll(x)); }template <typename T>T pick(deque<T> &que) {T a = que.front();que.pop_front();return a;}template <typename T>T pick(pq<T> &que) {T a = que.top();que.pop();return a;}template <typename T>T pick(pqg<T> &que) {assert(que.size());T a = que.top();que.pop();return a;}template <typename T>T pick(vc<T> &que) {assert(que.size());T a = que.back();que.pop_back();return a;}template <typename T, typename U>T ceil(T x, U y) {return (x > 0 ? (x + y - 1) / y : x / y);}template <typename T, typename U>T floor(T x, U y) {return (x > 0 ? x / y : (x - y + 1) / y);}template <typename T, typename U>pair<T, T> divmod(T x, U y) {T q = floor(x, y);return {q, x - q * y};}template <typename F>ll binary_search(F check, ll ok, ll ng) {assert(check(ok));while (abs(ok - ng) > 1) {auto x = (ng + ok) / 2;tie(ok, ng) = (check(x) ? mp(x, ng) : mp(ok, x));}return ok;}template <typename F>double binary_search_real(F check, double ok, double ng, int iter = 100) {FOR(iter) {double x = (ok + ng) / 2;tie(ok, ng) = (check(x) ? mp(x, ng) : mp(ok, x));}return (ok + ng) / 2;}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);}vc<int> s_to_vi(const string &S, char first_char) {vc<int> A(S.size());FOR(i, S.size()) { A[i] = S[i] - first_char; }return A;}template <typename T, typename U>vector<T> cumsum(vector<U> &A, int off = 1) {int N = A.size();vector<T> B(N + 1);FOR(i, N) { B[i + 1] = B[i] + A[i]; }if (off == 0) B.erase(B.begin());return B;}template <typename CNT, typename T>vc<CNT> bincount(const vc<T> &A, int size) {vc<CNT> C(size);for (auto &&x: A) { ++C[x]; }return C;}// stabletemplate <typename T>vector<int> argsort(const vector<T> &A) {vector<int> ids(A.size());iota(all(ids), 0);sort(all(ids),[&](int i, int j) { return A[i] < A[j] || (A[i] == A[j] && i < j); });return ids;}// A[I[0]], A[I[1]], ...template <typename T>vc<T> rearrange(const vc<T> &A, const vc<int> &I) {int n = len(I);vc<T> B(n);FOR(i, n) B[i] = A[I[i]];return B;}#line 1 "library/other/io.hpp"// based on yosupo's fastio#include <unistd.h>namespace detail {template <typename T, decltype(&T::is_modint) = &T::is_modint>std::true_type check_value(int);template <typename T>std::false_type check_value(long);} // namespace detailtemplate <typename T>struct is_modint : decltype(detail::check_value<T>(0)) {};template <typename T>using is_modint_t = enable_if_t<is_modint<T>::value>;template <typename T>using is_not_modint_t = enable_if_t<!is_modint<T>::value>;struct Scanner {FILE *fp;char line[(1 << 15) + 1];size_t st = 0, ed = 0;void reread() {memmove(line, line + st, ed - st);ed -= st;st = 0;ed += fread(line + ed, 1, (1 << 15) - ed, fp);line[ed] = '\0';}bool succ() {while (true) {if (st == ed) {reread();if (st == ed) return false;}while (st != ed && isspace(line[st])) st++;if (st != ed) break;}if (ed - st <= 50) {bool sep = false;for (size_t i = st; i < ed; i++) {if (isspace(line[i])) {sep = true;break;}}if (!sep) reread();}return true;}template <class T, enable_if_t<is_same<T, string>::value, int> = 0>bool read_single(T &ref) {if (!succ()) return false;while (true) {size_t sz = 0;while (st + sz < ed && !isspace(line[st + sz])) sz++;ref.append(line + st, sz);st += sz;if (!sz || st != ed) break;reread();}return true;}template <class T, enable_if_t<is_integral<T>::value, int> = 0>bool read_single(T &ref) {if (!succ()) return false;bool neg = false;if (line[st] == '-') {neg = true;st++;}ref = T(0);while (isdigit(line[st])) { ref = 10 * ref + (line[st++] & 0xf); }if (neg) ref = -ref;return true;}template <class T, is_modint_t<T> * = nullptr>bool read_single(T &ref) {long long val = 0;bool f = read_single(val);ref = T(val);return f;}bool read_single(double &ref) {string s;if (!read_single(s)) return false;ref = std::stod(s);return true;}bool read_single(char &ref) {string s;if (!read_single(s) || s.size() != 1) return false;ref = s[0];return true;}template <class T>bool read_single(vector<T> &ref) {for (auto &d: ref) {if (!read_single(d)) return false;}return true;}template <class T, class U>bool read_single(pair<T, U> &p) {return (read_single(p.first) && read_single(p.second));}template <class A, class B, class C>bool read_single(tuple<A, B, C> &p) {return (read_single(get<0>(p)) && read_single(get<1>(p))&& read_single(get<2>(p)));}template <class A, class B, class C, class D>bool read_single(tuple<A, B, C, D> &p) {return (read_single(get<0>(p)) && read_single(get<1>(p))&& read_single(get<2>(p)) && read_single(get<3>(p)));}void read() {}template <class H, class... T>void read(H &h, T &... t) {bool f = read_single(h);assert(f);read(t...);}Scanner(FILE *fp) : fp(fp) {}};struct Printer {Printer(FILE *_fp) : fp(_fp) {}~Printer() { flush(); }static constexpr size_t SIZE = 1 << 15;FILE *fp;char line[SIZE], small[50];size_t pos = 0;void flush() {fwrite(line, 1, pos, fp);pos = 0;}void write(const char &val) {if (pos == SIZE) flush();line[pos++] = val;}template <class T, enable_if_t<is_integral<T>::value, int> = 0>void write(T val) {if (pos > (1 << 15) - 50) flush();if (val == 0) {write('0');return;}if (val < 0) {write('-');val = -val; // todo min}size_t len = 0;while (val) {small[len++] = char(0x30 | (val % 10));val /= 10;}for (size_t i = 0; i < len; i++) { line[pos + i] = small[len - 1 - i]; }pos += len;}void write(const string &s) {for (char c: s) write(c);}void write(const char *s) {size_t len = strlen(s);for (size_t i = 0; i < len; i++) write(s[i]);}void write(const double &x) {ostringstream oss;oss << fixed << setprecision(15) << x;string s = oss.str();write(s);}void write(const long double &x) {ostringstream oss;oss << fixed << setprecision(15) << x;string s = oss.str();write(s);}template <class T, is_modint_t<T> * = nullptr>void write(T &ref) {write(ref.val);}template <class T>void write(const vector<T> &val) {auto n = val.size();for (size_t i = 0; i < n; i++) {if (i) write(' ');write(val[i]);}}template <class T, class U>void write(const pair<T, U> &val) {write(val.first);write(' ');write(val.second);}template <class A, class B, class C>void write(const tuple<A, B, C> &val) {auto &[a, b, c] = val;write(a), write(' '), write(b), write(' '), write(c);}template <class A, class B, class C, class D>void write(const tuple<A, B, C, D> &val) {auto &[a, b, c, d] = val;write(a), write(' '), write(b), write(' '), write(c), write(' '), write(d);}template <class A, class B, class C, class D, class E>void write(const tuple<A, B, C, D, E> &val) {auto &[a, b, c, d, e] = val;write(a), write(' '), write(b), write(' '), write(c), write(' '), write(d), write(' '), write(e);}template <class A, class B, class C, class D, class E, class F>void write(const tuple<A, B, C, D, E, F> &val) {auto &[a, b, c, d, e, f] = val;write(a), write(' '), write(b), write(' '), write(c), write(' '), write(d), write(' '), write(e), write(' '), write(f);}template <class T, size_t S>void write(const array<T, S> &val) {auto n = val.size();for (size_t i = 0; i < n; i++) {if (i) write(' ');write(val[i]);}}void write(i128 val) {string s;bool negative = 0;if(val < 0){negative = 1;val = -val;}while (val) {s += '0' + int(val % 10);val /= 10;}if(negative) s += "-";reverse(all(s));if (len(s) == 0) s = "0";write(s);}};Scanner scanner = Scanner(stdin);Printer printer = Printer(stdout);void flush() { printer.flush(); }void print() { printer.write('\n'); }template <class Head, class... Tail>void print(Head &&head, Tail &&... tail) {printer.write(head);if (sizeof...(Tail)) printer.write(' ');print(forward<Tail>(tail)...);}void read() {}template <class Head, class... Tail>void read(Head &head, Tail &... tail) {scanner.read(head);read(tail...);}#define INT(...) \int __VA_ARGS__; \read(__VA_ARGS__)#define LL(...) \ll __VA_ARGS__; \read(__VA_ARGS__)#define STR(...) \string __VA_ARGS__; \read(__VA_ARGS__)#define CHAR(...) \char __VA_ARGS__; \read(__VA_ARGS__)#define DBL(...) \double __VA_ARGS__; \read(__VA_ARGS__)#define VEC(type, name, size) \vector<type> name(size); \read(name)#define VV(type, name, h, w) \vector<vector<type>> name(h, vector<type>(w)); \read(name)void YES(bool t = 1) { print(t ? "YES" : "NO"); }void NO(bool t = 1) { YES(!t); }void Yes(bool t = 1) { print(t ? "Yes" : "No"); }void No(bool t = 1) { Yes(!t); }void yes(bool t = 1) { print(t ? "yes" : "no"); }void no(bool t = 1) { yes(!t); }#line 2 "library/graph/base.hpp"template <typename T>struct Edge {int frm, to;T cost;int id;};template <typename T = int, bool directed = false>struct Graph {int N, M;using cost_type = T;using edge_type = Edge<T>;vector<edge_type> edges;vector<int> indptr;vector<edge_type> csr_edges;vc<int> vc_deg, vc_indeg, vc_outdeg;bool prepared;class OutgoingEdges {public:OutgoingEdges(const Graph* G, int l, int r) : G(G), l(l), r(r) {}const edge_type* begin() const {if (l == r) { return 0; }return &G->csr_edges[l];}const edge_type* end() const {if (l == r) { return 0; }return &G->csr_edges[r];}private:const Graph* G;int l, r;};bool is_prepared() { return prepared; }constexpr bool is_directed() { return directed; }Graph() : N(0), M(0), prepared(0) {}Graph(int N) : N(N), M(0), prepared(0) {}void resize(int n) { N = n; }void add(int frm, int to, T cost = 1, int i = -1) {assert(!prepared);assert(0 <= frm && 0 <= to && to < N);if (i == -1) i = M;auto e = edge_type({frm, to, cost, i});edges.eb(e);++M;}// wt, offvoid read_tree(bool wt = false, int off = 1) { read_graph(N - 1, wt, off); }void read_graph(int M, bool wt = false, int off = 1) {for (int m = 0; m < M; ++m) {INT(a, b);a -= off, b -= off;if (!wt) {add(a, b);} else {T c;read(c);add(a, b, c);}}build();}void read_parent(int off = 1) {for (int v = 1; v < N; ++v) {INT(p);p -= off;add(p, v);}build();}void build() {assert(!prepared);prepared = true;indptr.assign(N + 1, 0);for (auto&& e: edges) {indptr[e.frm + 1]++;if (!directed) indptr[e.to + 1]++;}for (int v = 0; v < N; ++v) { indptr[v + 1] += indptr[v]; }auto counter = indptr;csr_edges.resize(indptr.back() + 1);for (auto&& e: edges) {csr_edges[counter[e.frm]++] = e;if (!directed)csr_edges[counter[e.to]++] = edge_type({e.to, e.frm, e.cost, e.id});}}OutgoingEdges operator[](int v) const {assert(prepared);return {this, indptr[v], indptr[v + 1]};}vc<int> deg_array() {if (vc_deg.empty()) calc_deg();return vc_deg;}pair<vc<int>, vc<int>> deg_array_inout() {if (vc_indeg.empty()) calc_deg_inout();return {vc_indeg, vc_outdeg};}int deg(int v) {if (vc_deg.empty()) calc_deg();return vc_deg[v];}int in_deg(int v) {if (vc_indeg.empty()) calc_deg_inout();return vc_indeg[v];}int out_deg(int v) {if (vc_outdeg.empty()) calc_deg_inout();return vc_outdeg[v];}void debug() {print("Graph");if (!prepared) {print("frm to cost id");for (auto&& e: edges) print(e.frm, e.to, e.cost, e.id);} else {print("indptr", indptr);print("frm to cost id");FOR(v, N) for (auto&& e: (*this)[v]) print(e.frm, e.to, e.cost, e.id);}}private:void calc_deg() {assert(vc_deg.empty());vc_deg.resize(N);for (auto&& e: edges) vc_deg[e.frm]++, vc_deg[e.to]++;}void calc_deg_inout() {assert(vc_indeg.empty());vc_indeg.resize(N);vc_outdeg.resize(N);for (auto&& e: edges) { vc_indeg[e.to]++, vc_outdeg[e.frm]++; }}};#line 2 "library/random/base.hpp"u64 RNG_64() {static uint64_t x_= uint64_t(chrono::duration_cast<chrono::nanoseconds>(chrono::high_resolution_clock::now().time_since_epoch()).count())* 10150724397891781847ULL;x_ ^= x_ << 7;return x_ ^= x_ >> 9;}u64 RNG(u64 lim) { return RNG_64() % lim; }ll RNG(ll l, ll r) { return l + RNG_64() % (r - l); }#line 1 "library/nt/GF2.hpp"#include <emmintrin.h>#include <smmintrin.h>#include <wmmintrin.h>// 2^n 元体template <int K>struct GF2 {// irreducible poly x^K + ...static constexpr int POLY[65]= {0, 0, 3, 3, 3, 5, 3, 3, 27, 3, 9, 5, 9, 27, 33, 3, 43,9, 9, 39, 9, 5, 3, 33, 27, 9, 27, 39, 3, 5, 3, 9, 141, 75,27, 5, 53, 63, 99, 17, 57, 9, 39, 89, 33, 27, 3, 33, 45, 113, 29,75, 9, 71, 125, 71, 149, 17, 99, 123, 3, 39, 105, 3, 27};static constexpr u64 mask() { return u64(-1) >> (64 - K); }__attribute__((target("pclmul", "sse2", "sse4.1"))) static u64 mul(u64 a,u64 b) {static bool prepared = 0;static u64 MEMO[8][65536];if (!prepared) {prepared = 1;vc<u64> tmp(128);tmp[0] = 1;FOR(i, 127) {tmp[i + 1] = tmp[i] << 1;if (tmp[i] >> (K - 1) & 1) {tmp[i + 1] ^= POLY[K];tmp[i + 1] &= mask();}}FOR(k, 8) {MEMO[k][0] = 0;FOR(i, 16) {FOR(s, 1 << i) { MEMO[k][s | 1 << i] = MEMO[k][s] ^ tmp[16 * k + i]; }}}}const __m128i a_ = _mm_set_epi64x(0, a);const __m128i b_ = _mm_set_epi64x(0, b);const __m128i c_ = _mm_clmulepi64_si128(a_, b_, 0);u64 lo = _mm_extract_epi64(c_, 0);u64 hi = _mm_extract_epi64(c_, 1);u64 x = 0;x ^= MEMO[0][lo & 65535];x ^= MEMO[1][(lo >> 16) & 65535];x ^= MEMO[2][(lo >> 32) & 65535];x ^= MEMO[3][(lo >> 48) & 65535];x ^= MEMO[4][hi & 65535];x ^= MEMO[5][(hi >> 16) & 65535];x ^= MEMO[6][(hi >> 32) & 65535];x ^= MEMO[7][(hi >> 48) & 65535];return x;}u64 val;constexpr GF2(const u64 val = 0) noexcept : val(val & mask()) {}bool operator<(const GF2 &other) const {return val < other.val;} // To use std::mapGF2 &operator+=(const GF2 &p) {val ^= p.val;return *this;}GF2 &operator-=(const GF2 &p) {val ^= p.val;return *this;}GF2 &operator*=(const GF2 &p) {val = mul(val, p.val);return *this;}GF2 &operator/=(const GF2 &p) {*this *= p.inverse();return *this;}GF2 operator-() const { return GF2(-val); }GF2 operator+(const GF2 &p) const { return GF2(*this) += p; }GF2 operator-(const GF2 &p) const { return GF2(*this) -= p; }GF2 operator*(const GF2 &p) const { return GF2(*this) *= p; }GF2 operator/(const GF2 &p) const { return GF2(*this) /= p; }bool operator==(const GF2 &p) const { return val == p.val; }bool operator!=(const GF2 &p) const { return val != p.val; }GF2 inverse() const { return pow((u64(1) << K) - 2); }GF2 pow(u64 n) const {GF2 ret(1), mul(val);while (n > 0) {if (n & 1) ret *= mul;mul *= mul;n >>= 1;}return ret;}};#line 3 "library/graph/minimum_cycle_length_through_specified.hpp"// https://www.slideshare.net/wata_orz/ss-12208032// https://epubs.siam.org/doi/10.1137/1.9781611973099.139// O(2^kN^2M)template <typename GT>int minimum_cycle_length_through_specified(GT& G, vc<int> use) {assert(len(use) >= 2);assert(!G.is_directed());const int N = G.N;using F = GF2<64>;int s = use.back();use.pop_back();// 重み付き有向グラフに変形// 始点の近くでは逆向きを違う重みにすることで、向き違いのキャンセリングを防ぐGraph<F, 1> H(G.N);for (auto&& e: G.edges) {F a = RNG_64();F b = a;if (e.frm == s || e.to == s) b = RNG_64();H.add(e.frm, e.to, a);H.add(e.to, e.frm, b);}H.build();const int M = H.M;int K = len(use);vc<int> mask(N);FOR(k, K) mask[use[k]] = 1 << k;// [集合][最後の辺]vv(F, dp, 1 << K, M);for (auto&& e: H[s]) { dp[mask[e.to]][e.id] = e.cost; }FOR(L, 2, N + 1) {vv(F, newdp, 1 << K, M);FOR(s, 1 << K) {vc<F> dp_v(N);FOR(i, M) dp_v[H.edges[i].to] += dp[s][i];FOR(v, N) {for (auto&& e: H[v]) {int t = s | mask[e.to];if (mask[e.to] && s == t) continue;newdp[t][e.id] += dp_v[v] * e.cost;// use 上の点から戻るのを禁止するif (mask[v]) { newdp[t][e.id] += dp[s][e.id ^ 1] * e.cost; }}}}swap(dp, newdp);int full = (1 << K) - 1;F sm = 0;FOR(i, M) {if (H.edges[i].to == s) sm += dp[full][i];}if (sm != F(0)) return L;}return -1;}#line 6 "main.cpp"void solve() {LL(N, M);vv(bool, can, N, N, 1);INT(X, Y, Z);--X, --Y, --Z;FOR(M) {LL(a, b);--a, --b;can[a][b] = can[b][a] = 0;}Graph<bool, 0> G(N);FOR(i, N) FOR(j, i) if (can[i][j]) G.add(i, j);G.build();vc<int> use = {X, Y, Z};int ANS = minimum_cycle_length_through_specified(G, use);print(ANS);}signed main() {cout << fixed << setprecision(15);ll T = 1;// LL(T);FOR(T) solve();return 0;}