#pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n)-1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> using mint = modint998244353; template void debug(T e) { cerr << e << endl; } template void debug(vector &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(map &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } ll my_pow(ll x, ll n, ll mod) { //  繰り返し二乗法.x^nをmodで割った余り. ll ret; if (n == 0) { ret = 1; } else if (n % 2 == 1) { ret = (x * my_pow((x * x) % mod, n / 2, mod)) % mod; } else { ret = my_pow((x * x) % mod, n / 2, mod); } return ret; } ll inv(ll x, ll mod) { return my_pow(x, mod - 2, mod); } vector bfs(vector> &graph, int v, int N) { int INF = 4 * N + 3; vector dis(N, INF); queue que; vector isvisited(N, false); dis[v] = 0; isvisited[v] = true; que.push(v); while (que.size()) { int p = que.front(); que.pop(); for (int x : graph[p]) { if (isvisited[x]) { continue; } isvisited[x] = true; dis[x] = dis[p] + 1; que.push(x); } } return dis; } int main() { int N, M; cin >> N >> M; assert(3 <= N && N <= 100000); int min_m; if (N >= 1000) { min_m = 100000; } else { min_m = min(100000, N * (N - 1)); } assert(0 <= M && M <= min_m); vector> graph(N, vector(0)); vector u(M); vector v(M); map mp; for (int i = 0; i < M; i++) { cin >> u[i] >> v[i]; assert(1 <= u[i] && u[i] <= N); assert(1 <= v[i] && v[i] <= N); u[i]--; v[i]--; graph[u[i]].push_back(v[i]); assert(u[i] != v[i]); assert(mp[pii(u[i], v[i])] == 0); mp[pii(u[i], v[i])]++; } int INF = 4 * N + 2; vector dist1 = bfs(graph, 0, N); vector distn1 = bfs(graph, N - 2, N); vector distn = bfs(graph, N - 1, N); // debug(dist1); // 1 -> n - 1 -> n -> 1 int ans1 = dist1[N - 2] + distn1[N - 1] + distn[0]; // 1 -> n -> n - 1 -> 1 int ans2 = dist1[N - 1] + distn[N - 2] + distn1[0]; int ans = min(ans1, ans2); if (ans >= INF) { cout << -1 << endl; } else { cout << ans << endl; } }