#include #include using namespace std; using int64 = long long; constexpr int mod = 998244353; constexpr int64 infll = (1LL << 62) - 1; constexpr int inf = (1 << 30) - 1; struct IoSetup { IoSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(10); cerr << fixed << setprecision(10); } } iosetup; 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) { for (int i = 0; i < (int) v.size(); i++) { os << v[i] << (i + 1 != v.size() ? " " : ""); } return os; } template istream &operator>>(istream &is, vector &v) { for (T &in : v) is >> in; return is; } template inline bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); } template inline bool chmin(T1 &a, T2 b) { return a > b && (a = b, true); } template vector make_v(size_t a) { return vector(a); } template auto make_v(size_t a, Ts... ts) { return vector(ts...))>(a, make_v(ts...)); } template typename enable_if::value == 0>::type fill_v(T &t, const V &v) { t = v; } template typename enable_if::value != 0>::type fill_v(T &t, const V &v) { for (auto &e : t) fill_v(e, v); } template struct FixPoint : F { explicit FixPoint(F &&f) : F(forward(f)) {} template decltype(auto) operator()(Args &&... args) const { return F::operator()(*this, forward(args)...); } }; template inline decltype(auto) MFP(F &&f) { return FixPoint{forward(f)}; } #line 2 "graph/shortest-path/bfs.hpp" #line 2 "graph/graph-template.hpp" /** * @brief Graph Template(グラフテンプレート) */ template< typename T = int > struct Edge { int from, to; T cost; int idx; Edge() = default; Edge(int from, int to, T cost = 1, int idx = -1) : from(from), to(to), cost(cost), idx(idx) {} operator int() const { return to; } }; template< typename T = int > struct Graph { vector< vector< Edge< T > > > g; int es; Graph() = default; explicit Graph(int n) : g(n), es(0) {} size_t size() const { return g.size(); } void add_directed_edge(int from, int to, T cost = 1) { g[from].emplace_back(from, to, cost, es++); } void add_edge(int from, int to, T cost = 1) { g[from].emplace_back(from, to, cost, es); g[to].emplace_back(to, from, cost, es++); } void read(int M, int padding = -1, bool weighted = false, bool directed = false) { for(int i = 0; i < M; i++) { int a, b; cin >> a >> b; a += padding; b += padding; T c = T(1); if(weighted) cin >> c; if(directed) add_directed_edge(a, b, c); else add_edge(a, b, c); } } inline vector< Edge< T > > &operator[](const int &k) { return g[k]; } inline const vector< Edge< T > > &operator[](const int &k) const { return g[k]; } }; template< typename T = int > using Edges = vector< Edge< T > >; #line 4 "graph/shortest-path/bfs.hpp" /** * @brief BFS(幅優先探索) */ template< typename T > vector< T > bfs(const Graph< T > &g, int s) { T max_cost = 0, beet = 0; for(auto &es : g.g) { for(auto &e : es) max_cost = max(max_cost, e.cost); } ++max_cost; const auto INF = numeric_limits< T >::max(); vector< T > dist(g.size(), INF); vector< queue< int > > ques(max_cost + 1); dist[s] = 0; ques[0].emplace(s); for(T cost = 0; cost <= beet; cost++) { auto &que = ques[cost % max_cost]; while(!que.empty()) { int idx = que.front(); que.pop(); if(dist[idx] < cost) continue; for(auto &e : g[idx]) { auto next_cost = cost + e.cost; if(dist[e.to] <= next_cost) continue;; dist[e.to] = next_cost; beet = max(beet, dist[e.to]); ques[dist[e.to] % max_cost].emplace(e.to); } } } return dist; } int main() { int N, M; cin >> N >> M; Graph<> g(N + N + N + N); for(int i = 0; i < M; i++) { int u, v; cin >> u >> v; --u, --v; g.add_directed_edge(u, v); g.add_directed_edge(u + N, v + N); g.add_directed_edge(u + N + N, v + N + N); g.add_directed_edge(u + N + N + N, v + N + N + N); } g.add_directed_edge(N - 1, N - 1 + N, 0); g.add_directed_edge(N - 2, N - 2 + N + N, 0); g.add_directed_edge(N - 2 + N, N - 2 + N + N + N, 0); g.add_directed_edge(N - 1 + N + N, N - 1 + N + N + N, 0); auto s = bfs(g, 0); auto ret = s[N + N + N]; if(ret >= inf) cout << -1 << endl; else cout << ret << endl; }