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src/bin/a.out
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src/bin/a.out
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@ -0,0 +1,366 @@
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#ifdef ONLINE_JUDGE
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#pragma GCC optimize("Ofast")
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#endif
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/////////////////////////////////////////////////////////
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/**
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* Useful Macros
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* by subcrip
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* (requires C++17)
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*/
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#include<bits/stdc++.h>
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using namespace std;
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/* macro helpers */
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#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
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#define __DECOMPOSE_S(a, x) auto x = a;
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#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
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constexpr void __() {}
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#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
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#define __as_typeof(container) decltype(container)::value_type
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/* type aliases */
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#if LONG_LONG_MAX != INT64_MAX
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using ll = int64_t;
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using ull = uint64_t;
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#else
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using ll = long long;
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using ull = unsigned long long;
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#endif
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using int128 = __int128_t;
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using uint128 = __uint128_t;
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using pii = pair<int, int>;
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using pil = pair<int, ll>;
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using pli = pair<ll, int>;
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using pll = pair<ll, ll>;
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/* constants */
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constexpr int INF = 0x3f3f3f3f;
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constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
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constexpr ll MDL = 1e9 + 7;
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constexpr ll PRIME = 998'244'353;
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constexpr ll MDL1 = 8784491;
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constexpr ll MDL2 = PRIME;
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constexpr int128 INT128_MAX = numeric_limits<int128>::max();
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constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
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constexpr int128 INT128_MIN = numeric_limits<int128>::min();
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constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
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/* random */
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mt19937 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
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/* bit-wise operations */
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#define lowbit(x) ((x) & -(x))
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#define popcount(x) (__builtin_popcountll(ll(x)))
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#define parity(x) (__builtin_parityll(ll(x)))
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#define msp(x) (63LL - __builtin_clzll(ll(x)))
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#define lsp(x) (__builtin_ctzll(ll(x)))
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/* arithmetic operations */
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#define mod(x, y) ((((x) % (y)) + (y)) % (y))
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/* fast pairs */
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#define upair ull
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#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
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#define u1(p) ((p) >> 32)
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#define u2(p) ((p) & ((1ULL << 32) - 1))
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#define ult std::less<upair>
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#define ugt std::greater<upair>
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#define ipair ull
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#define imake(x, y) (umake(x, y))
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#define i1(p) (int(u1(ll(p))))
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#define i2(p) (ll(u2(p) << 32) >> 32)
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struct ilt {
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bool operator()(const ipair& a, const ipair& b) const {
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if (i1(a) == i1(b)) return i2(a) < i2(b);
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else return i1(a) < i1(b);
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}
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};
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struct igt {
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bool operator()(const ipair& a, const ipair& b) const {
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if (i1(a) == i1(b)) return i2(a) > i2(b);
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else return i1(a) > i1(b);
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}
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};
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/* conditions */
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#define loop while (1)
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#define if_or(var, val) if (!(var == val)) var = val; else
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#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
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#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
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/* hash */
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struct safe_hash {
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// https://codeforces.com/blog/entry/62393
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static uint64_t splitmix64(uint64_t x) {
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// http://xorshift.di.unimi.it/splitmix64.c
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x += 0x9e3779b97f4a7c15;
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x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
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x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
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return x ^ (x >> 31);
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}
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size_t operator()(uint64_t x) const {
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static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
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return splitmix64(x + FIXED_RANDOM);
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}
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};
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struct pair_hash {
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template <typename T, typename U>
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size_t operator()(const pair<T, U>& a) const {
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auto hash1 = safe_hash()(a.first);
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auto hash2 = safe_hash()(a.second);
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if (hash1 != hash2) {
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return hash1 ^ hash2;
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}
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return hash1;
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}
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};
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/* build data structures */
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#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
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#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
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#define pa(a) __AS_PROCEDURE(__typeof(a) pa; pa.push_back({}); for (auto&&x : a) pa.push_back(pa.back() + x);)
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#define sa(a) __AS_PROCEDURE(__typeof(a) sa(a.size() + 1); {int n = a.size(); for (int i = n - 1; i >= 0; --i) sa[i] = sa[i + 1] + a[i];};)
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#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
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#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
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#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
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template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
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set<T> st(__first, __last);
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size_t N = 0;
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map<T, size_t> mp;
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for (auto&& x : st) mp[x] = ++N;
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return {N, mp};
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}
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template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
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set<T> st(__first, __last);
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size_t N = 0;
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unordered_map<T, size_t, safe_hash> mp;
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for (auto&& x : st) mp[x] = ++N;
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return {N, mp};
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}
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/* io */
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#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
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template<typename T> void __read(T& x) { cin >> x; }
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template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
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#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
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#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (int i = 0; i < (n); ++i) cin >> a[i];)
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#define putvec(a) __AS_PROCEDURE(for (auto&& x : a) cout << x << ' '; cout << endl;)
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#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
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#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
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template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
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out << "{" << p.first << ", " << p.second << "}";
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return out;
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}
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template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
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void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
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using swallow = int[]; // guaranties left to right order
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(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
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}
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template<typename Char, typename Traits, typename... Args>
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decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
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os << "{";
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print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
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return os << "}";
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}
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template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
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for (auto&& i : vec) out << i << ' ';
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return out;
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}
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std::ostream& operator<<(std::ostream& dest, const int128& value) {
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// https://stackoverflow.com/a/25115163/23881100
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std::ostream::sentry s( dest );
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if ( s ) {
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uint128 tmp = value < 0 ? -value : value;
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char buffer[ 128 ];
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char* d = std::end( buffer );
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do {
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-- d;
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*d = "0123456789"[ tmp % 10 ];
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tmp /= 10;
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} while ( tmp != 0 );
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if ( value < 0 ) {
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-- d;
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*d = '-';
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}
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int len = std::end( buffer ) - d;
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if ( dest.rdbuf()->sputn( d, len ) != len ) {
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dest.setstate( std::ios_base::badbit );
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}
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}
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return dest;
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}
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/* pops */
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#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
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#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
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#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
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/* math */
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constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
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void __exgcd(ll a, ll b, ll& x, ll& y) {
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if (b == 0) {
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x = 1, y = 0;
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return;
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}
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__exgcd(b, a % b, y, x);
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y -= a / b * x;
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}
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ll inverse(ll a, ll b) {
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ll x, y;
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__exgcd(a, b, x, y);
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return mod(x, b);
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}
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vector<tuple<int, int, ll>> decompose(ll x) {
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vector<tuple<int, int, ll>> res;
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for (int i = 2; i * i <= x; i++) {
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if (x % i == 0) {
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int cnt = 0;
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ll pw = 1;
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while (x % i == 0) ++cnt, x /= i, pw *= i;
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res.emplace_back(i, cnt, pw);
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}
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}
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if (x != 1) {
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res.emplace_back(x, 1, x);
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}
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return res;
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}
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/* string algorithms */
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vector<int> calc_next(string t) { // pi function of t
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int n = (int)t.length();
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vector<int> pi(n);
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for (int i = 1; i < n; i++) {
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int j = pi[i - 1];
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while (j > 0 && t[i] != t[j]) j = pi[j - 1];
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if (t[i] == t[j]) j++;
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pi[i] = j;
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}
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return pi;
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}
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vector<int> calc_z(string t) { // z function of t
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int m = t.length();
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vector<int> z;
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z.push_back(m);
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pair<int, int> prev = {1, -1};
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for (int i = 1; i < m; ++i) {
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if (z[i - prev.first] + i <= prev.second) {
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z.push_back(z[i - prev.first]);
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} else {
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int j = max(i, prev.second + 1);
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while (j < m && t[j] == t[j - i]) ++j;
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z.push_back(j - i);
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prev = {i, j - 1};
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}
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}
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return z;
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}
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vector<int> kmp(string s, string t) { // find all t in s
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string cur = t + '#' + s;
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int sz1 = s.size(), sz2 = t.size();
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vector<int> v;
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vector<int> lps = calc_next(cur);
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for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
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if (lps[i] == sz2) v.push_back(i - 2 * sz2);
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}
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return v;
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}
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int period(string s) { // find the length of shortest recurring period
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int n = s.length();
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auto z = calc_z(s);
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for (int i = 1; i <= n / 2; ++i) {
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if (n % i == 0 && z[i] == n - i) {
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return i;
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}
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}
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return n;
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}
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/////////////////////////////////////////////////////////
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// #define SINGLE_TEST_CASE
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// #define DUMP_TEST_CASE 7219
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void dump() {}
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void dump_ignore() {}
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void prep() {}
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void solve() {
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read(int, n, m);
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adj(ch, n);
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while (m--) {
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read(int, u, v);
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if (u == 1) continue;
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Edge(ch, v, u);
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}
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vector<int> bfn(n + 1);
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deque<pii> q;
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q.emplace_back(1, 1);
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bfn[1] = 1;
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while (q.size()) {
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popfront(q, t, v);
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for (auto&& u : ch[v]) {
|
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if (!bfn[u]) {
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bfn[u] = t + 1;
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q.emplace_back(t + 1, u);
|
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}
|
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}
|
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}
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for (int i = 1; i <= n; ++i) {
|
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if (!bfn[i]) {
|
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cout << "INFINITE\n";
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return;
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}
|
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}
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cout << "FINITE\n";
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vector<int> idx(n + 1);
|
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iota(idx.begin(), idx.end(), 0);
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sort(idx.begin(), idx.end(), [&] (int i, int j) { return bfn[i] > bfn[j]; });
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vector<int> res;
|
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while (bfn[idx[0]]) {
|
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for (int i = 0; i < n; ++i) {
|
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if (!bfn[idx[i]]) {
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break;
|
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}
|
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bfn[idx[i]] -= 1;
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res.emplace_back(idx[i]);
|
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}
|
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}
|
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cout << res.size() << '\n';
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putvec(res);
|
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}
|
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|
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int main() {
|
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#if __cplusplus < 201703L || defined(_MSC_VER) && !defined(__clang__)
|
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assert(false && "incompatible compiler variant detected.");
|
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#endif
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untie, cout.tie(NULL);
|
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prep();
|
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#ifdef SINGLE_TEST_CASE
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solve();
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#else
|
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read(int, t);
|
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for (int i = 0; i < t; ++i) {
|
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#ifdef DUMP_TEST_CASE
|
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if (t < (DUMP_TEST_CASE)) {
|
||||
solve();
|
||||
} else if (i + 1 == (DUMP_TEST_CASE)) {
|
||||
dump();
|
||||
} else {
|
||||
dump_ignore();
|
||||
}
|
||||
#else
|
||||
solve();
|
||||
#endif
|
||||
}
|
||||
#endif
|
||||
}
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||||
|
|
@ -0,0 +1,399 @@
|
|||
#ifdef ONLINE_JUDGE
|
||||
#pragma GCC optimize("Ofast")
|
||||
#endif
|
||||
/////////////////////////////////////////////////////////
|
||||
/**
|
||||
* Useful Macros
|
||||
* by subcrip
|
||||
* (requires C++17)
|
||||
*/
|
||||
|
||||
#include<bits/stdc++.h>
|
||||
using namespace std;
|
||||
|
||||
/* macro helpers */
|
||||
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
|
||||
#define __DECOMPOSE_S(a, x) auto x = a;
|
||||
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
|
||||
constexpr void __() {}
|
||||
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
|
||||
#define __as_typeof(container) decltype(container)::value_type
|
||||
|
||||
/* type aliases */
|
||||
#if LONG_LONG_MAX != INT64_MAX
|
||||
using ll = int64_t;
|
||||
using ull = uint64_t;
|
||||
#else
|
||||
using ll = long long;
|
||||
using ull = unsigned long long;
|
||||
#endif
|
||||
using int128 = __int128_t;
|
||||
using uint128 = __uint128_t;
|
||||
using pii = pair<int, int>;
|
||||
using pil = pair<int, ll>;
|
||||
using pli = pair<ll, int>;
|
||||
using pll = pair<ll, ll>;
|
||||
|
||||
/* constants */
|
||||
constexpr int INF = 0x3f3f3f3f;
|
||||
constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
|
||||
constexpr ll MDL = 1e9 + 7;
|
||||
constexpr ll PRIME = 998'244'353;
|
||||
constexpr ll MDL1 = 8784491;
|
||||
constexpr ll MDL2 = PRIME;
|
||||
constexpr int128 INT128_MAX = numeric_limits<int128>::max();
|
||||
constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
|
||||
constexpr int128 INT128_MIN = numeric_limits<int128>::min();
|
||||
constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
|
||||
|
||||
/* random */
|
||||
|
||||
mt19937 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
|
||||
|
||||
/* bit-wise operations */
|
||||
#define lowbit(x) ((x) & -(x))
|
||||
#define popcount(x) (__builtin_popcountll(ll(x)))
|
||||
#define parity(x) (__builtin_parityll(ll(x)))
|
||||
#define msp(x) (63LL - __builtin_clzll(ll(x)))
|
||||
#define lsp(x) (__builtin_ctzll(ll(x)))
|
||||
|
||||
/* arithmetic operations */
|
||||
#define mod(x, y) ((((x) % (y)) + (y)) % (y))
|
||||
|
||||
/* fast pairs */
|
||||
#define upair ull
|
||||
#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
|
||||
#define u1(p) ((p) >> 32)
|
||||
#define u2(p) ((p) & ((1ULL << 32) - 1))
|
||||
#define ult std::less<upair>
|
||||
#define ugt std::greater<upair>
|
||||
|
||||
#define ipair ull
|
||||
#define imake(x, y) (umake(x, y))
|
||||
#define i1(p) (int(u1(ll(p))))
|
||||
#define i2(p) (ll(u2(p) << 32) >> 32)
|
||||
struct ilt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) < i2(b);
|
||||
else return i1(a) < i1(b);
|
||||
}
|
||||
};
|
||||
struct igt {
|
||||
bool operator()(const ipair& a, const ipair& b) const {
|
||||
if (i1(a) == i1(b)) return i2(a) > i2(b);
|
||||
else return i1(a) > i1(b);
|
||||
}
|
||||
};
|
||||
|
||||
/* conditions */
|
||||
#define loop while (1)
|
||||
#define if_or(var, val) if (!(var == val)) var = val; else
|
||||
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
|
||||
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
|
||||
|
||||
/* hash */
|
||||
struct safe_hash {
|
||||
// https://codeforces.com/blog/entry/62393
|
||||
static uint64_t splitmix64(uint64_t x) {
|
||||
// http://xorshift.di.unimi.it/splitmix64.c
|
||||
x += 0x9e3779b97f4a7c15;
|
||||
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
|
||||
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
|
||||
return x ^ (x >> 31);
|
||||
}
|
||||
|
||||
size_t operator()(uint64_t x) const {
|
||||
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
|
||||
return splitmix64(x + FIXED_RANDOM);
|
||||
}
|
||||
};
|
||||
|
||||
struct pair_hash {
|
||||
template <typename T, typename U>
|
||||
size_t operator()(const pair<T, U>& a) const {
|
||||
auto hash1 = safe_hash()(a.first);
|
||||
auto hash2 = safe_hash()(a.second);
|
||||
if (hash1 != hash2) {
|
||||
return hash1 ^ hash2;
|
||||
}
|
||||
return hash1;
|
||||
}
|
||||
};
|
||||
|
||||
/* build data structures */
|
||||
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];)
|
||||
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
|
||||
#define pa(a) __AS_PROCEDURE(__typeof(a) pa; pa.push_back({}); for (auto&&x : a) pa.push_back(pa.back() + x);)
|
||||
#define sa(a) __AS_PROCEDURE(__typeof(a) sa(a.size() + 1); {int n = a.size(); for (int i = n - 1; i >= 0; --i) sa[i] = sa[i + 1] + a[i];};)
|
||||
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
|
||||
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
|
||||
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
|
||||
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
map<T, size_t> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
|
||||
set<T> st(__first, __last);
|
||||
size_t N = 0;
|
||||
unordered_map<T, size_t, safe_hash> mp;
|
||||
for (auto&& x : st) mp[x] = ++N;
|
||||
return {N, mp};
|
||||
}
|
||||
|
||||
/* io */
|
||||
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
|
||||
template<typename T> void __read(T& x) { cin >> x; }
|
||||
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
|
||||
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
|
||||
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (int i = 0; i < (n); ++i) cin >> a[i];)
|
||||
#define putvec(a) __AS_PROCEDURE(for (auto&& x : a) cout << x << ' '; cout << endl;)
|
||||
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
|
||||
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
|
||||
template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
|
||||
out << "{" << p.first << ", " << p.second << "}";
|
||||
return out;
|
||||
}
|
||||
template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
|
||||
void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
|
||||
using swallow = int[]; // guaranties left to right order
|
||||
(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
|
||||
}
|
||||
template<typename Char, typename Traits, typename... Args>
|
||||
decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
|
||||
os << "{";
|
||||
print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
|
||||
return os << "}";
|
||||
}
|
||||
template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
|
||||
for (auto&& i : vec) out << i << ' ';
|
||||
return out;
|
||||
}
|
||||
std::ostream& operator<<(std::ostream& dest, const int128& value) {
|
||||
// https://stackoverflow.com/a/25115163/23881100
|
||||
std::ostream::sentry s( dest );
|
||||
if ( s ) {
|
||||
uint128 tmp = value < 0 ? -value : value;
|
||||
char buffer[ 128 ];
|
||||
char* d = std::end( buffer );
|
||||
do {
|
||||
-- d;
|
||||
*d = "0123456789"[ tmp % 10 ];
|
||||
tmp /= 10;
|
||||
} while ( tmp != 0 );
|
||||
if ( value < 0 ) {
|
||||
-- d;
|
||||
*d = '-';
|
||||
}
|
||||
int len = std::end( buffer ) - d;
|
||||
if ( dest.rdbuf()->sputn( d, len ) != len ) {
|
||||
dest.setstate( std::ios_base::badbit );
|
||||
}
|
||||
}
|
||||
return dest;
|
||||
}
|
||||
|
||||
/* pops */
|
||||
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
|
||||
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
|
||||
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
|
||||
|
||||
/* math */
|
||||
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
|
||||
|
||||
void __exgcd(ll a, ll b, ll& x, ll& y) {
|
||||
if (b == 0) {
|
||||
x = 1, y = 0;
|
||||
return;
|
||||
}
|
||||
__exgcd(b, a % b, y, x);
|
||||
y -= a / b * x;
|
||||
}
|
||||
|
||||
ll inverse(ll a, ll b) {
|
||||
ll x, y;
|
||||
__exgcd(a, b, x, y);
|
||||
return mod(x, b);
|
||||
}
|
||||
|
||||
vector<tuple<int, int, ll>> decompose(ll x) {
|
||||
vector<tuple<int, int, ll>> res;
|
||||
for (int i = 2; i * i <= x; i++) {
|
||||
if (x % i == 0) {
|
||||
int cnt = 0;
|
||||
ll pw = 1;
|
||||
while (x % i == 0) ++cnt, x /= i, pw *= i;
|
||||
res.emplace_back(i, cnt, pw);
|
||||
}
|
||||
}
|
||||
if (x != 1) {
|
||||
res.emplace_back(x, 1, x);
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
/* string algorithms */
|
||||
vector<int> calc_next(string t) { // pi function of t
|
||||
int n = (int)t.length();
|
||||
vector<int> pi(n);
|
||||
for (int i = 1; i < n; i++) {
|
||||
int j = pi[i - 1];
|
||||
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
|
||||
if (t[i] == t[j]) j++;
|
||||
pi[i] = j;
|
||||
}
|
||||
return pi;
|
||||
}
|
||||
vector<int> calc_z(string t) { // z function of t
|
||||
int m = t.length();
|
||||
vector<int> z;
|
||||
z.push_back(m);
|
||||
pair<int, int> prev = {1, -1};
|
||||
for (int i = 1; i < m; ++i) {
|
||||
if (z[i - prev.first] + i <= prev.second) {
|
||||
z.push_back(z[i - prev.first]);
|
||||
} else {
|
||||
int j = max(i, prev.second + 1);
|
||||
while (j < m && t[j] == t[j - i]) ++j;
|
||||
z.push_back(j - i);
|
||||
prev = {i, j - 1};
|
||||
}
|
||||
}
|
||||
return z;
|
||||
}
|
||||
vector<int> kmp(string s, string t) { // find all t in s
|
||||
string cur = t + '#' + s;
|
||||
int sz1 = s.size(), sz2 = t.size();
|
||||
vector<int> v;
|
||||
vector<int> lps = calc_next(cur);
|
||||
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
|
||||
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
|
||||
}
|
||||
return v;
|
||||
}
|
||||
int period(string s) { // find the length of shortest recurring period
|
||||
int n = s.length();
|
||||
auto z = calc_z(s);
|
||||
for (int i = 1; i <= n / 2; ++i) {
|
||||
if (n % i == 0 && z[i] == n - i) {
|
||||
return i;
|
||||
}
|
||||
}
|
||||
return n;
|
||||
}
|
||||
/////////////////////////////////////////////////////////
|
||||
|
||||
#define SINGLE_TEST_CASE
|
||||
// #define DUMP_TEST_CASE 7219
|
||||
|
||||
void dump() {}
|
||||
|
||||
void dump_ignore() {}
|
||||
|
||||
template <ll mdl> struct MLL {
|
||||
ll val;
|
||||
MLL(ll v = 0) : val(mod(v, mdl)) {}
|
||||
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
|
||||
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
|
||||
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
|
||||
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
|
||||
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
|
||||
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
|
||||
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
|
||||
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
|
||||
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
|
||||
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
|
||||
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
|
||||
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
|
||||
};
|
||||
|
||||
template <ll mdl>
|
||||
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
|
||||
return out << num.val;
|
||||
}
|
||||
|
||||
template <ll mdl>
|
||||
istream& operator>>(istream& in, MLL<mdl>& num) {
|
||||
return in >> num.val;
|
||||
}
|
||||
|
||||
constexpr int MAXN = 2e5 + 10;
|
||||
MLL<MDL> fact[MAXN];
|
||||
void prep() {
|
||||
fact[0] = 1;
|
||||
for (int i = 1; i < MAXN; ++i) {
|
||||
fact[i] = fact[i - 1] * i;
|
||||
}
|
||||
}
|
||||
|
||||
MLL<MDL> comb(int n, int k) {
|
||||
return n >= k ? fact[n] / fact[k] / fact[n - k] : 0;
|
||||
}
|
||||
|
||||
void solve() {
|
||||
read(int, n, k);
|
||||
adj(ch, n);
|
||||
for (int i = 0 ; i < n - 1; ++i) {
|
||||
read(int, u, v);
|
||||
edge(ch, u, v);
|
||||
}
|
||||
vector<int> sz(n + 1);
|
||||
auto get = [&] (auto get, int v, int pa) -> void {
|
||||
sz[v] = 1;
|
||||
for (auto&& u : ch[v]) {
|
||||
if (u == pa) continue;
|
||||
get(get, u, v);
|
||||
sz[v] += sz[u];
|
||||
}
|
||||
};
|
||||
get(get, 1, 0);
|
||||
MLL<MDL> res = 0;
|
||||
auto dfs = [&] (auto dfs, int v, int pa) -> void {
|
||||
vector<MLL<MDL>> br;
|
||||
MLL<MDL> sum = 0;
|
||||
br.emplace_back(comb(sz[1] - sz[v], k / 2));
|
||||
sum += comb(sz[1] - sz[v], k / 2);
|
||||
for (auto&& u : ch[v]) {
|
||||
if (u == pa) continue;
|
||||
sum += comb(sz[u], k / 2);
|
||||
br.emplace_back(comb(sz[u], k / 2));
|
||||
}
|
||||
for (auto&& x : br) {
|
||||
res += (sum - x) * x;
|
||||
}
|
||||
for (auto&& u : ch[v]) {
|
||||
if (u == pa) continue;
|
||||
dfs(dfs, u, v);
|
||||
}
|
||||
};
|
||||
dfs(dfs,1, 0);
|
||||
cout << res << '\n';
|
||||
}
|
||||
|
||||
int main() {
|
||||
#if __cplusplus < 201703L || defined(_MSC_VER) && !defined(__clang__)
|
||||
assert(false && "incompatible compiler variant detected.");
|
||||
#endif
|
||||
untie, cout.tie(NULL);
|
||||
prep();
|
||||
#ifdef SINGLE_TEST_CASE
|
||||
solve();
|
||||
#else
|
||||
read(int, t);
|
||||
for (int i = 0; i < t; ++i) {
|
||||
#ifdef DUMP_TEST_CASE
|
||||
if (t < (DUMP_TEST_CASE)) {
|
||||
solve();
|
||||
} else if (i + 1 == (DUMP_TEST_CASE)) {
|
||||
dump();
|
||||
} else {
|
||||
dump_ignore();
|
||||
}
|
||||
#else
|
||||
solve();
|
||||
#endif
|
||||
}
|
||||
#endif
|
||||
}
|
||||
|
|
@ -285,93 +285,58 @@ int period(string s) { // find the length of shortest recurring period
|
|||
}
|
||||
/////////////////////////////////////////////////////////
|
||||
|
||||
#define SINGLE_TEST_CASE
|
||||
// #define SINGLE_TEST_CASE
|
||||
// #define DUMP_TEST_CASE 7219
|
||||
|
||||
void dump() {}
|
||||
|
||||
void dump_ignore() {}
|
||||
|
||||
template <ll mdl> struct MLL {
|
||||
ll val;
|
||||
MLL(ll v = 0) : val(mod(v, mdl)) {}
|
||||
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
|
||||
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
|
||||
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
|
||||
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
|
||||
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
|
||||
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
|
||||
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
|
||||
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
|
||||
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
|
||||
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
|
||||
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
|
||||
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
|
||||
};
|
||||
|
||||
template <ll mdl>
|
||||
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
|
||||
return out << num.val;
|
||||
}
|
||||
|
||||
template <ll mdl>
|
||||
istream& operator>>(istream& in, MLL<mdl>& num) {
|
||||
return in >> num.val;
|
||||
}
|
||||
|
||||
constexpr int MAXN = 6e5 + 10;
|
||||
MLL<PRIME> fact[MAXN], pw[MAXN];
|
||||
void prep() {
|
||||
fact[0] = 1, pw[0] = 1;
|
||||
for (int i = 1; i < MAXN; ++i) {
|
||||
fact[i] = fact[i - 1] * i;
|
||||
pw[i] = pw[i - 1] * 2;
|
||||
}
|
||||
}
|
||||
void prep() {}
|
||||
|
||||
void solve() {
|
||||
read(int, k);
|
||||
int n = 1 << k;
|
||||
vector<int> a(n, -1);
|
||||
read(int, n, m);
|
||||
adj(ch, n);
|
||||
while (m--) {
|
||||
read(int, u, v);
|
||||
if (u == 1) continue;
|
||||
Edge(ch, v, u);
|
||||
}
|
||||
vector<int> bfn(n + 1);
|
||||
deque<pii> q;
|
||||
q.emplace_back(1, 1);
|
||||
bfn[1] = 1;
|
||||
while (q.size()) {
|
||||
popfront(q, t, v);
|
||||
for (auto&& u : ch[v]) {
|
||||
if (!bfn[u]) {
|
||||
bfn[u] = t + 1;
|
||||
q.emplace_back(t + 1, u);
|
||||
}
|
||||
}
|
||||
}
|
||||
for (int i = 1; i <= n; ++i) {
|
||||
if (!bfn[i]) {
|
||||
cout << "INFINITE\n";
|
||||
return;
|
||||
}
|
||||
}
|
||||
cout << "FINITE\n";
|
||||
vector<int> idx(n + 1);
|
||||
iota(idx.begin(), idx.end(), 0);
|
||||
sort(idx.begin(), idx.end(), [&] (int i, int j) { return bfn[i] > bfn[j]; });
|
||||
vector<int> res;
|
||||
while (bfn[idx[0]]) {
|
||||
for (int i = 0; i < n; ++i) {
|
||||
read(int, x);
|
||||
if (x == -1) {
|
||||
;;
|
||||
} else {
|
||||
a[x - 1] = i;
|
||||
if (!bfn[idx[i]]) {
|
||||
break;
|
||||
}
|
||||
bfn[idx[i]] -= 1;
|
||||
res.emplace_back(idx[i]);
|
||||
}
|
||||
}
|
||||
MLL<PRIME> res = 1;
|
||||
for (int i = 0; i < k; ++i) {
|
||||
int tot = 1 << k - i;
|
||||
unordered_set<int, safe_hash> left, right;
|
||||
int cnt = 0;
|
||||
for (int j = 0; j < tot / 2; ++j) {
|
||||
if (a[j] == -1) continue;
|
||||
if (left.count(a[j] >> i) or left.count((a[j] >> i) ^ 1)) {
|
||||
cout << 0 << '\n';
|
||||
return;
|
||||
}
|
||||
left.emplace(a[j] >> i);
|
||||
}
|
||||
for (int j = tot / 2; j < tot; ++j) {
|
||||
if (a[j] == -1) continue;
|
||||
if (left.count(a[j] >> i) or right.count(a[j] >> i) or right.count((a[j] >> i) ^ 1)) {
|
||||
cout << 0 << '\n';
|
||||
return;
|
||||
}
|
||||
right.emplace(a[j] >> i);
|
||||
cnt += 1;
|
||||
}
|
||||
int to_swap = tot / 2;
|
||||
for (int j = 0; j < tot / 2; ++j) {
|
||||
if (left.count(j << 1) or left.count((j << 1) + 1) or right.count(j << 1) or right.count((j << 1) + 1)) {
|
||||
to_swap -= 1;
|
||||
}
|
||||
}
|
||||
res = (res * fact[tot / 2 - cnt]) * pw[to_swap];
|
||||
}
|
||||
cout << res << '\n';
|
||||
cout << res.size() << '\n';
|
||||
putvec(res);
|
||||
}
|
||||
|
||||
int main() {
|
||||
|
|
|
|||
|
|
@ -1,2 +1,16 @@
|
|||
3
|
||||
-1 7 -1 8 2 -1 -1 5
|
||||
5
|
||||
3 2
|
||||
3 1
|
||||
2 1
|
||||
1 0
|
||||
2 0
|
||||
2 2
|
||||
1 2
|
||||
2 1
|
||||
5 5
|
||||
2 1
|
||||
3 1
|
||||
4 2
|
||||
4 5
|
||||
5 1
|
||||
|
||||
|
|
|
|||
Loading…
Reference in New Issue