#include using namespace std; #define rep(i, n) for (int i = 0; i < n; i++) #define rep2(i, x, n) for (int i = x; i <= n; i++) #define rep3(i, x, n) for (int i = x; i >= n; i--) #define each(e, v) for (auto &e : v) #define pb push_back #define eb emplace_back #define all(x) x.begin(), x.end() #define rall(x) x.rbegin(), x.rend() #define sz(x) (int)x.size() using ll = long long; using pii = pair; using pil = pair; using pli = pair; using pll = pair; template bool chmax(T &x, const T &y) { return (x < y) ? (x = y, true) : false; } template bool chmin(T &x, const T &y) { return (x > y) ? (x = y, true) : false; } template int flg(T x, int i) { return (x >> i) & 1; } template void print(const vector &v, T x = 0) { int n = v.size(); for (int i = 0; i < n; i++) cout << v[i] + x << (i == n - 1 ? '\n' : ' '); if (v.empty()) cout << '\n'; } template void printn(const vector &v, T x = 0) { int n = v.size(); for (int i = 0; i < n; i++) cout << v[i] + x << '\n'; } template int lb(const vector &v, T x) { return lower_bound(begin(v), end(v), x) - begin(v); } template int ub(const vector &v, T x) { return upper_bound(begin(v), end(v), x) - begin(v); } template void rearrange(vector &v) { sort(begin(v), end(v)); v.erase(unique(begin(v), end(v)), end(v)); } template vector id_sort(const vector &v, bool greater = false) { int n = v.size(); vector ret(n); iota(begin(ret), end(ret), 0); sort(begin(ret), end(ret), [&](int i, int j) { return greater ? v[i] > v[j] : v[i] < v[j]; }); return ret; } template pair operator+(const pair &p, const pair &q) { return make_pair(p.first + q.first, p.second + q.second); } template pair operator-(const pair &p, const pair &q) { return make_pair(p.first - q.first, p.second - q.second); } template istream &operator>>(istream &is, pair &p) { S a; T b; is >> a >> b; p = make_pair(a, b); return is; } template ostream &operator<<(ostream &os, const pair &p) { return os << p.first << ' ' << p.second; } struct io_setup { io_setup() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout << fixed << setprecision(15); } } io_setup; const int inf = (1 << 30) - 1; const ll INF = (1LL << 60) - 1; const int MOD = 1000000007; // const int MOD = 998244353; template struct Graph { struct edge { int to, id; edge(int to, int id) : to(to), id(id) {} }; vector> es; const int n; int m; Graph(int n) : es(n), n(n), m(0) {} void add_edge(int from, int to) { es[from].emplace_back(to, m); if (!directed) es[to].emplace_back(from, m); m++; } }; template struct Strongly_Connected_Components { struct edge { int to, id; edge(int to, int id) : to(to), id(id) {} }; vector> es, rs; vector vs; vector comp; const int n; int m; Strongly_Connected_Components(int n) : es(n), rs(n), comp(n), n(n), m(0) {} void add_edge(int from, int to) { es[from].emplace_back(to, m), rs[to].emplace_back(from, m); if (!directed) es[to].emplace_back(from, m), rs[from].emplace_back(to, m); m++; } void _dfs(int now) { if (comp[now] != -1) return; comp[now] = 1; for (auto &e : es[now]) _dfs(e.to); vs.push_back(now); } void _rdfs(int now, int col) { if (comp[now] != -1) return; comp[now] = col; for (auto &e : rs[now]) _rdfs(e.to, col); } Graph decompose() { fill(begin(comp), end(comp), -1); for (int i = 0; i < n; i++) { if (comp[i] == -1) _dfs(i); } fill(begin(comp), end(comp), -1); reverse(begin(vs), end(vs)); int cnt = 0; for (auto &e : vs) { if (comp[e] == -1) _rdfs(e, cnt++); } Graph G(cnt); for (int i = 0; i < n; i++) { for (auto &e : es[i]) { int u = comp[i], v = comp[e.to]; if (u != v) G.add_edge(u, v); } } return G; } int operator[](int k) const { return comp[k]; } }; int main() { int N, Q; cin >> N >> Q; vector u(Q), v(Q); rep(i, Q) { cin >> u[i] >> v[i]; u[i]--, v[i]--; } int l = -1, r = Q; while (r - l > 1) { int m = (l + r) / 2; Strongly_Connected_Components G(N); rep(i, m + 1) G.add_edge(u[i], v[i]); int K = G.decompose().n; (K == N ? l : r) = m; } cout << (r == Q ? -1 : r + 1) << '\n'; }