import java.util.*; import java.io.*; public class Main { static FastScanner sc = new FastScanner(System.in); static PrintWriter pw = new PrintWriter(System.out); static StringBuilder sb = new StringBuilder(); static long mod = (long) 1e9 + 7; public static void main(String[] args) throws Exception { solve(); pw.flush(); } public static void solve() { int N = sc.nextInt(); int Q = sc.nextInt(); ArrayList arr = new ArrayList<>(); for(int i = 0; i < Q; i++){ arr.add(new int[]{sc.nextInt()-1,sc.nextInt()-1}); } int left = 1; int right = Q+1; boolean ok = false; while(right - left > 1){ SCC scc = new SCC(N); int mid = (right+left)/2; for(int i = 0; i < mid; i++){ scc.addEdge(arr.get(i)[0],arr.get(i)[1]); } int[][] dp = scc.build(); if(dp.length != N){ right = mid; ok = true; }else{ left = mid; } } pw.println(ok ? right : -1); } static class GeekInteger { public static void save_sort(int[] array) { shuffle(array); Arrays.sort(array); } public static int[] shuffle(int[] array) { int n = array.length; Random random = new Random(); for (int i = 0, j; i < n; i++) { j = i + random.nextInt(n - i); int randomElement = array[j]; array[j] = array[i]; array[i] = randomElement; } return array; } public static void save_sort(long[] array) { shuffle(array); Arrays.sort(array); } public static long[] shuffle(long[] array) { int n = array.length; Random random = new Random(); for (int i = 0, j; i < n; i++) { j = i + random.nextInt(n - i); long randomElement = array[j]; array[j] = array[i]; array[i] = randomElement; } return array; } } } /** * @verified https://atcoder.jp/contests/practice2/tasks/practice2_g */ class SCC { static class Edge { int from, to; public Edge(int from, int to) { this.from = from; this.to = to; } } final int n; int m; final java.util.ArrayList unorderedEdges; final int[] start; final int[] ids; boolean hasBuilt = false; public SCC(int n) { this.n = n; this.unorderedEdges = new java.util.ArrayList<>(); this.start = new int[n + 1]; this.ids = new int[n]; } public void addEdge(int from, int to) { rangeCheck(from); rangeCheck(to); unorderedEdges.add(new Edge(from, to)); start[from + 1]++; this.m++; } public int id(int i) { if (!hasBuilt) { throw new UnsupportedOperationException( "Graph hasn't been built." ); } rangeCheck(i); return ids[i]; } public int[][] build() { for (int i = 1; i <= n; i++) { start[i] += start[i - 1]; } Edge[] orderedEdges = new Edge[m]; int[] count = new int[n + 1]; System.arraycopy(start, 0, count, 0, n + 1); for (Edge e : unorderedEdges) { orderedEdges[count[e.from]++] = e; } int nowOrd = 0; int groupNum = 0; int k = 0; // parent int[] par = new int[n]; int[] vis = new int[n]; int[] low = new int[n]; int[] ord = new int[n]; java.util.Arrays.fill(ord, -1); // u = lower32(stack[i]) : visiting vertex // j = upper32(stack[i]) : jth child long[] stack = new long[n]; // size of stack int ptr = 0; // non-recursional DFS for (int i = 0; i < n; i++) { if (ord[i] >= 0) continue; par[i] = -1; // vertex i, 0th child. stack[ptr++] = 0l << 32 | i; // stack is not empty while (ptr > 0) { // last element long p = stack[--ptr]; // vertex int u = (int) (p & 0xffff_ffffl); // jth child int j = (int) (p >>> 32); if (j == 0) { // first visit low[u] = ord[u] = nowOrd++; vis[k++] = u; } if (start[u] + j < count[u]) { // there are more children // jth child int to = orderedEdges[start[u] + j].to; // incr children counter stack[ptr++] += 1l << 32; if (ord[to] == -1) { // new vertex stack[ptr++] = 0l << 32 | to; par[to] = u; } else { // backward edge low[u] = Math.min(low[u], ord[to]); } } else { // no more children (leaving) while (j --> 0) { int to = orderedEdges[start[u] + j].to; // update lowlink if (par[to] == u) low[u] = Math.min(low[u], low[to]); } if (low[u] == ord[u]) { // root of a component while (true) { // gathering verticies int v = vis[--k]; ord[v] = n; ids[v] = groupNum; if (v == u) break; } groupNum++; // incr the number of components } } } } for (int i = 0; i < n; i++) { ids[i] = groupNum - 1 - ids[i]; } int[] counts = new int[groupNum]; for (int x : ids) counts[x]++; int[][] groups = new int[groupNum][]; for (int i = 0; i < groupNum; i++) { groups[i] = new int[counts[i]]; } for (int i = 0; i < n; i++) { int cmp = ids[i]; groups[cmp][--counts[cmp]] = i; } hasBuilt = true; return groups; } private void rangeCheck(int i) { if (i < 0 || i >= n) { throw new IndexOutOfBoundsException( String.format("Index %d out of bounds for length %d", i, n) ); } } } class FastScanner { private BufferedReader reader = null; private StringTokenizer tokenizer = null; public FastScanner(InputStream in) { reader = new BufferedReader(new InputStreamReader(in)); tokenizer = null; } public FastScanner(FileReader in) { reader = new BufferedReader(in); tokenizer = null; } public String next() { if (tokenizer == null || !tokenizer.hasMoreTokens()) { try { tokenizer = new StringTokenizer(reader.readLine()); } catch (IOException e) { throw new RuntimeException(e); } } return tokenizer.nextToken(); } public String nextLine() { if (tokenizer == null || !tokenizer.hasMoreTokens()) { try { return reader.readLine(); } catch (IOException e) { throw new RuntimeException(e); } } return tokenizer.nextToken("\n"); } public long nextLong() { return Long.parseLong(next()); } public int nextInt() { return Integer.parseInt(next()); } public double nextDouble() { return Double.parseDouble(next()); } public String[] nextArray(int n) { String[] a = new String[n]; for (int i = 0; i < n; i++) a[i] = next(); return a; } public int[] nextIntArray(int n) { int[] a = new int[n]; for (int i = 0; i < n; i++) a[i] = nextInt(); return a; } public long[] nextLongArray(int n) { long[] a = new long[n]; for (int i = 0; i < n; i++) a[i] = nextLong(); return a; } }