/** * date : 2020-12-17 01:08:28 */ #define NDEBUG using namespace std; // intrinstic #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include // utility namespace Nyaan { using ll = long long; using i64 = long long; using u64 = unsigned long long; using i128 = __int128_t; using u128 = __uint128_t; template using V = vector; template using VV = vector>; using vi = vector; using vl = vector; using vd = V; using vs = V; using vvi = vector>; using vvl = vector>; template struct P : pair { template P(Args... args) : pair(args...) {} using pair::first; using pair::second; T &x() { return first; } const T &x() const { return first; } U &y() { return second; } const U &y() const { return second; } P &operator+=(const P &r) { first += r.first; second += r.second; return *this; } P &operator-=(const P &r) { first -= r.first; second -= r.second; return *this; } P &operator*=(const P &r) { first *= r.first; second *= r.second; return *this; } P operator+(const P &r) const { return P(*this) += r; } P operator-(const P &r) const { return P(*this) -= r; } P operator*(const P &r) const { return P(*this) *= r; } }; using pl = P; using pi = P; using vp = V; constexpr int inf = 1001001001; constexpr long long infLL = 4004004004004004004LL; template int sz(const T &t) { return t.size(); } template void mem(T (&a)[N], int c) { memset(a, c, sizeof(T) * N); } template inline bool amin(T &x, U y) { return (y < x) ? (x = y, true) : false; } template inline bool amax(T &x, U y) { return (x < y) ? (x = y, true) : false; } template int lb(const vector &v, const T &a) { return lower_bound(begin(v), end(v), a) - begin(v); } template int ub(const vector &v, const T &a) { return upper_bound(begin(v), end(v), a) - begin(v); } constexpr long long TEN(int n) { long long ret = 1, x = 10; for (; n; x *= x, n >>= 1) ret *= (n & 1 ? x : 1); return ret; } template pair mkp(const T &t, const U &u) { return make_pair(t, u); } template vector mkrui(const vector &v, bool rev = false) { vector ret(v.size() + 1); if (rev) { for (int i = int(v.size()) - 1; i >= 0; i--) ret[i] = v[i] + ret[i + 1]; } else { for (int i = 0; i < int(v.size()); i++) ret[i + 1] = ret[i] + v[i]; } return ret; }; template vector mkuni(const vector &v) { vector ret(v); sort(ret.begin(), ret.end()); ret.erase(unique(ret.begin(), ret.end()), ret.end()); return ret; } template vector mkord(int N, F f) { vector ord(N); iota(begin(ord), end(ord), 0); sort(begin(ord), end(ord), f); return ord; } template vector reord(const vector &v, const vector &ord) { int N = v.size(); vector ret(N); for (int i = 0; i < N; i++) ret[i] = v[ord[i]]; return ret; }; template vector mkiota(int N) { vector ret(N); iota(begin(ret), end(ret), 0); return ret; } template vector mkinv(vector &v, int max_val = -1) { if (max_val < (int)v.size()) max_val = v.size() - 1; vector inv(max_val + 1, -1); for (int i = 0; i < (int)v.size(); i++) inv[v[i]] = i; return inv; } } // namespace Nyaan // bit operation namespace Nyaan { __attribute__((target("popcnt"))) inline int popcnt(const u64 &a) { return _mm_popcnt_u64(a); } __attribute__((target("bmi"))) inline int lsb(const u64 &a) { return _tzcnt_u64(a); } __attribute__((target("bmi"))) inline int ctz(const u64 &a) { return _tzcnt_u64(a); } __attribute__((target("lzcnt"))) inline int msb(const u64 &a) { return 63 - _lzcnt_u64(a); } __attribute__((target("lzcnt"))) inline int clz64(const u64 &a) { return _lzcnt_u64(a); } template inline int gbit(const T &a, int i) { return (a >> i) & 1; } template inline void sbit(T &a, int i, bool b) { a ^= (gbit(a, i) == b ? 0 : (T(b) << i)); } constexpr long long PW(int n) { return 1LL << n; } constexpr long long MSK(int n) { return (1LL << n) - 1; } } // namespace Nyaan // inout namespace Nyaan { template ostream &operator<<(ostream &os, const pair &p) { os << p.first << " " << p.second; return os; } template istream &operator>>(istream &is, pair &p) { is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const vector &v) { int s = (int)v.size(); for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i]; return os; } template istream &operator>>(istream &is, vector &v) { for (auto &x : v) is >> x; return is; } void in() {} template void in(T &t, U &... u) { cin >> t; in(u...); } void out() { cout << "\n"; } template void out(const T &t, const U &... u) { cout << t; if (sizeof...(u)) cout << sep; out(u...); } void outr() {} template void outr(const T &t, const U &... u) { cout << t; outr(u...); } struct IoSetupNya { IoSetupNya() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); cerr << fixed << setprecision(7); } } iosetupnya; } // namespace Nyaan // debug namespace DebugImpl { template struct is_specialize : false_type {}; template struct is_specialize< U, typename conditional::type> : true_type {}; template struct is_specialize< U, typename conditional::type> : true_type {}; template struct is_specialize::value, void>> : true_type { }; void dump(const char& t) { cerr << t; } void dump(const string& t) { cerr << t; } template ::value, nullptr_t> = nullptr> void dump(const U& t) { cerr << t; } template void dump(const T& t, enable_if_t::value>* = nullptr) { string res; if (t == Nyaan::inf) res = "inf"; if (is_signed::value) if (t == -Nyaan::inf) res = "-inf"; if (sizeof(T) == 8) { if (t == Nyaan::infLL) res = "inf"; if (is_signed::value) if (t == -Nyaan::infLL) res = "-inf"; } if (res.empty()) res = to_string(t); cerr << res; } template void dump(const pair&); template void dump(const pair&); template void dump(const T& t, enable_if_t::value>* = nullptr) { cerr << "[ "; for (auto it = t.begin(); it != t.end();) { dump(*it); cerr << (++it == t.end() ? "" : ", "); } cerr << " ]"; } template void dump(const pair& t) { cerr << "( "; dump(t.first); cerr << ", "; dump(t.second); cerr << " )"; } template void dump(const pair& t) { cerr << "[ "; for (int i = 0; i < t.second; i++) { dump(t.first[i]); cerr << (i == t.second - 1 ? "" : ", "); } cerr << " ]"; } void trace() { cerr << endl; } template void trace(Head&& head, Tail&&... tail) { cerr << " "; dump(head); if (sizeof...(tail) != 0) cerr << ","; trace(forward(tail)...); } } // namespace DebugImpl #ifdef NyaanDebug #define trc(...) \ do { \ cerr << "## " << #__VA_ARGS__ << " = "; \ DebugImpl::trace(__VA_ARGS__); \ } while (0) #else #define trc(...) #endif // macro #define each(x, v) for (auto&& x : v) #define each2(x, y, v) for (auto&& [x, y] : v) #define all(v) (v).begin(), (v).end() #define rep(i, N) for (long long i = 0; i < (long long)(N); i++) #define repr(i, N) for (long long i = (long long)(N)-1; i >= 0; i--) #define rep1(i, N) for (long long i = 1; i <= (long long)(N); i++) #define repr1(i, N) for (long long i = (N); (long long)(i) > 0; i--) #define reg(i, a, b) for (long long i = (a); i < (b); i++) #define regr(i, a, b) for (long long i = (b)-1; i >= (a); i--) #define repc(i, a, cond) for (long long i = (a); (cond); i++) #define enm(i, val, vec) \ for (long long i = 0; i < (long long)(vec).size(); i++) \ if (auto& val = vec[i]; false) \ ; \ else #define ini(...) \ int __VA_ARGS__; \ in(__VA_ARGS__) #define inl(...) \ long long __VA_ARGS__; \ in(__VA_ARGS__) #define ins(...) \ string __VA_ARGS__; \ in(__VA_ARGS__) #define inc(...) \ char __VA_ARGS__; \ in(__VA_ARGS__) #define in2(s, t) \ for (int i = 0; i < (int)s.size(); i++) { \ in(s[i], t[i]); \ } #define in3(s, t, u) \ for (int i = 0; i < (int)s.size(); i++) { \ in(s[i], t[i], u[i]); \ } #define in4(s, t, u, v) \ for (int i = 0; i < (int)s.size(); i++) { \ in(s[i], t[i], u[i], v[i]); \ } #define die(...) \ do { \ Nyaan::out(__VA_ARGS__); \ return; \ } while (0) namespace Nyaan { void solve(); } int main() { Nyaan::solve(); } // using namespace Nyaan; template struct edge { int src, to; T cost; edge(int _to, T _cost) : src(-1), to(_to), cost(_cost) {} edge(int _src, int _to, T _cost) : src(_src), to(_to), cost(_cost) {} edge &operator=(const int &x) { to = x; return *this; } operator int() const { return to; } }; template using Edges = vector>; template using WeightedGraph = vector>; using UnweightedGraph = vector>; // Input of (Unweighted) Graph UnweightedGraph graph(int N, int M = -1, bool is_directed = false, bool is_1origin = true) { UnweightedGraph g(N); if (M == -1) M = N - 1; for (int _ = 0; _ < M; _++) { int x, y; cin >> x >> y; if (is_1origin) x--, y--; g[x].push_back(y); if (!is_directed) g[y].push_back(x); } return g; } // Input of Weighted Graph template WeightedGraph wgraph(int N, int M = -1, bool is_directed = false, bool is_1origin = true) { WeightedGraph g(N); if (M == -1) M = N - 1; for (int _ = 0; _ < M; _++) { int x, y; cin >> x >> y; T c; cin >> c; if (is_1origin) x--, y--; g[x].emplace_back(x, y, c); if (!is_directed) g[y].emplace_back(y, x, c); } return g; } // Input of Edges template Edges esgraph(int N, int M, int is_weighted = true, bool is_1origin = true) { Edges es; for (int _ = 0; _ < M; _++) { int x, y; cin >> x >> y; T c; if (is_weighted) cin >> c; else c = 1; if (is_1origin) x--, y--; es.emplace_back(x, y, c); } return es; } // Input of Adjacency Matrix template vector> adjgraph(int N, int M, T INF, int is_weighted = true, bool is_directed = false, bool is_1origin = true) { vector> d(N, vector(N, INF)); for (int _ = 0; _ < M; _++) { int x, y; cin >> x >> y; T c; if (is_weighted) cin >> c; else c = 1; if (is_1origin) x--, y--; d[x][y] = c; if (!is_directed) d[y][x] = c; } return d; } template struct RadixHeap { using uint = typename make_unsigned::type; static constexpr int bit = sizeof(Key) * 8; array >, bit + 1> vs; array ms; int s; uint last; RadixHeap() : s(0), last(0) { fill(begin(ms), end(ms), uint(-1)); } bool empty() const { return s == 0; } int size() const { return s; } __attribute__((target("lzcnt"))) inline uint64_t getbit(uint a) const { return 64 - _lzcnt_u64(a); } void push(const uint &key, const Val &val) { s++; uint64_t b = getbit(key ^ last); vs[b].emplace_back(key, val); ms[b] = min(key, ms[b]); } pair pop() { if (ms[0] == uint(-1)) { int idx = 1; while (ms[idx] == uint(-1)) idx++; last = ms[idx]; for (auto &p : vs[idx]) { uint64_t b = getbit(p.first ^ last); vs[b].emplace_back(p); ms[b] = min(p.first, ms[b]); } vs[idx].clear(); ms[idx] = uint(-1); } --s; auto res = vs[0].back(); vs[0].pop_back(); if (vs[0].empty()) ms[0] = uint(-1); return res; } }; /** * @brief Radix Heap * @docs docs/data-structure/radix-heap.md */ namespace StaticGraphImpl { template ::value> struct E; template struct E { int to; T cost; E() {} E(const int& v, const T& c) : to(v), cost(c) {} operator int() const { return to; } }; template struct E { int to; E() {} E(const int& v) : to(v) {} operator int() const { return to; } }; template struct StaticGraph { private: template struct Es { It b, e; It begin() const { return b; } It end() const { return e; } int size() const { return int(e - b); } auto&& operator[](int i) const { return b[i]; } }; int N, M, ec; vector head; vector>> buf; vector> es; void build() { partial_sum(begin(head), end(head), begin(head)); es.resize(M); for (auto&& [u, e] : buf) es[--head[u]] = e; } public: StaticGraph(int _n, int _m) : N(_n), M(_m), ec(0), head(N + 1, 0) { buf.reserve(M); } template void add_edge(int u, Args&&... args) { #pragma GCC diagnostic ignored "-Wnarrowing" buf.emplace_back(u, E{std::forward(args)...}); #pragma GCC diagnostic warning "-Wnarrowing" ++head[u]; if ((int)buf.size() == M) build(); } Es>::iterator> operator[](int u) { return {begin(es) + head[u], begin(es) + head[u + 1]}; } const Es>::const_iterator> operator[](int u) const { return {begin(es) + head[u], begin(es) + head[u + 1]}; } int size() const { return N; } }; } // namespace StaticGraphImpl using StaticGraphImpl::StaticGraph; /** * @brief Static Graph * @docs docs/graph/static-graph.md */ template vector dijkstra(StaticGraph& g, int start = 0) { vector d(g.size(), T(-1)); RadixHeap Q; d[start] = 0; Q.push(0, start); while (!Q.empty()) { auto p = Q.pop(); int u = p.second; if (d[u] < T(p.first)) continue; T du = d[u]; for (auto&& [v, c] : g[u]) { if (d[v] == T(-1) || du + c < d[v]) { d[v] = du + c; Q.push(d[v], v); } } } return d; } template vector> dijkstra_restore(StaticGraph& g, int start = 0) { vector> d(g.size(), {T(-1), -1}); RadixHeap Q; d[start] = {0, -1}; Q.push(0, start); while (!Q.empty()) { auto p = Q.pop(); int u = p.second; if (d[u].first < T(p.first)) continue; T du = d[u].first; for (auto&& [v, c] : g[u]) { if (d[v].first == T(-1) || du + c < d[v].first) { d[v] = {du + c, u}; Q.push(du + c, v); } } } return d; } /* * @brief ダイクストラ法(定数倍高速化) * @docs docs/shortest-path/dijkstra-fast.md **/ void Nyaan::solve() { ini(t, n, m); Edges es; rep(i, m) { inl(u, v, w); --u, --v; es.emplace_back(u, v, w); } ll ans = infLL; rep(id, m) { StaticGraph g(n, (m - 1) * (1 + !t)); rep(j, m) { if (id == j) continue; ll u = es[j].src, v = es[j].to, w = es[j].cost; g.add_edge(u, v, w); if (!t) g.add_edge(v, u, w); } int i = es[id].to, j = es[id].src, k = es[id].cost; { auto d = dijkstra(g, i); trc(d); if (~d[j]) amin(ans, k + d[j]); } if (!t) { auto d = dijkstra(g, j); if (~d[i]) amin(ans, k + d[i]); } trc(ans); } out(ans == infLL ? -1 : ans); } /* #include "modint/montgomery-modint.hpp" using mint = LazyMontgomeryModInt<998244353>; using vm = vector; #include "math/affine-transformation.hpp" #include "misc/fastio.hpp" // #include "lct/link-cut-base.hpp" #include "lct/splay-reversible.hpp" // using Af = Affine; using T = pair; T f(T a, T b) { return T(a.first * b.first, b.second * a.second); } T ts(T a) { return T(a.second, a.first); } using namespace Nyaan; void Nyaan::solve() { int N, Q; cin >> N >> Q; using Splay = ReversibleSplayTree; using LCT = LinkCutTree; LCT lct; vector vs(N); rep(i, N) { int a, b; cin >> a >> b; vs[i] = lct.my_new(T(Af(a, b), Af(a, b))); } for (int i = 1; i < N; i++) { int a, b; cin >> a >> b; lct.evert(vs[a]); lct.link(vs[a], vs[b]); } while (Q--) { int cmd; cin >> cmd; if (cmd == 0) { int U, V, W, X; cin >> U >> V >> W >> X; lct.evert(vs[U]); lct.cut(vs[V]); lct.evert(vs[W]); lct.link(vs[W], vs[X]); } else if (cmd == 1) { int P; mint a, b; cin >> P >> a >> b; lct.expose(vs[P]); vs[P]->key = T(Af(a, b), Af(a, b)); lct.update(vs[P]); } else { int U, V; mint X; cin >> U >> V >> X; lct.evert(vs[U]); lct.expose(vs[V]); auto ret = vs[V]->sum.first; cout << ret(X) << "\n"; } } } */