import java.io.*; import java.util.*; 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)); } } } public class Main { static void solve() { int n = ni(); var scc = new SCC(n); List[] next = new ArrayList[n]; for(int i=0;i(); double[] l = new double[n]; for(int i=0;i void reverse(T[] ar) { int len = ar.length; for (int i = 0; i < len / 2; i++) { T t = ar[i]; ar[i] = ar[len - 1 - i]; ar[len - 1 - i] = t; } } static int[] concat(int x, int arr[]) { int ret[] = new int[arr.length + 1]; System.arraycopy(arr, 0, ret, 1, ret.length - 1); ret[0] = x; return ret; } static int[] concat(int arr[], int x) { int ret[] = new int[arr.length + 1]; System.arraycopy(arr, 0, ret, 0, ret.length - 1); ret[ret.length - 1] = x; return ret; } static long[] concat(long x, long arr[]) { long ret[] = new long[arr.length + 1]; System.arraycopy(arr, 0, ret, 1, ret.length - 1); ret[0] = x; return ret; } static long[] concat(long arr[], long x) { long ret[] = new long[arr.length + 1]; System.arraycopy(arr, 0, ret, 0, ret.length - 1); ret[ret.length - 1] = x; return ret; } static char[] concat(char x, char arr[]) { char ret[] = new char[arr.length + 1]; System.arraycopy(arr, 0, ret, 0, ret.length - 1); ret[ret.length - 1] = x; return ret; } static char[] concat(char arr[], char x) { char ret[] = new char[arr.length + 1]; System.arraycopy(arr, 0, ret, 0, ret.length - 1); ret[ret.length - 1] = x; return ret; } static int max(int x, int y) { return Math.max(x, y); } static int min(int x, int y) { return Math.min(x, y); } static int max(int x, int y, int z) { x = Math.max(x, y); x = Math.max(x, z); return x; } static int min(int x, int y, int z) { x = Math.min(x, y); x = Math.min(x, z); return x; } static long max(long x, long y) { return Math.max(x, y); } static long min(long x, long y) { return Math.min(x, y); } static long max(long x, long y, long z) { x = Math.max(x, y); x = Math.max(x, z); return x; } static long min(long x, long y, long z) { x = Math.min(x, y); x = Math.min(x, z); return x; } static double max(double x, double y) { return Math.max(x, y); } static double min(double x, double y) { return Math.min(x, y); } static double max(double x, double y, double z) { x = Math.max(x, y); x = Math.max(x, z); return x; } static double min(double x, double y, double z) { x = Math.min(x, y); x = Math.min(x, z); return x; } static void sort(int[] ar) { Arrays.sort(ar); } static void sort(long[] ar) { Arrays.sort(ar); } static void sort(double[] ar) { Arrays.sort(ar); } static void sort(char[] ar) { Arrays.sort(ar); } static void rsort(int[] ar) { Arrays.sort(ar); int len = ar.length; for (int i = 0; i < len / 2; i++) { int tmp = ar[i]; ar[i] = ar[len - 1 - i]; ar[len - 1 - i] = tmp; } } static void rsort(long[] ar) { Arrays.sort(ar); int len = ar.length; for (int i = 0; i < len / 2; i++) { long tmp = ar[i]; ar[i] = ar[len - 1 - i]; ar[len - 1 - i] = tmp; } } static void rsort(double[] ar) { Arrays.sort(ar); int len = ar.length; for (int i = 0; i < len / 2; i++) { double tmp = ar[i]; ar[i] = ar[len - 1 - i]; ar[len - 1 - i] = tmp; } } static void rsort(char[] ar) { Arrays.sort(ar); int len = ar.length; for (int i = 0; i < len / 2; i++) { char tmp = ar[i]; ar[i] = ar[len - 1 - i]; ar[len - 1 - i] = tmp; } } static void fill(int arr[], int x) { Arrays.fill(arr, x); } static void fill(long arr[], long x) { Arrays.fill(arr, x); } static void fill(boolean arr[], boolean x) { Arrays.fill(arr, x); } static void fill(double arr[], double x) { Arrays.fill(arr, x); } static void fill(int arr[][], int x) { for (int i = 0; i < arr.length; i++) Arrays.fill(arr[i], x); } static void fill(long arr[][], long x) { for (int i = 0; i < arr.length; i++) Arrays.fill(arr[i], x); } static void fill(double arr[][], double x) { for (int i = 0; i < arr.length; i++) Arrays.fill(arr[i], x); } static void fill(boolean arr[][], boolean x) { for (int i = 0; i < arr.length; i++) Arrays.fill(arr[i], x); } //MOD culc static long plus(long x, long y) { long res = (x + y) % mod; return res < 0 ? res + mod : res; } static long sub(long x, long y) { long res = (x - y) % mod; return res < 0 ? res + mod : res; } static long mul(long x, long y) { long res = (x * y) % mod; return res < 0 ? res + mod : res; } static long div(long x, long y) { long res = x * pow(y, mod - 2) % mod; return res < 0 ? res + mod : res; } static long pow(long x, long y) { if (y < 0) return 0; if (y == 0) return 1; if (y % 2 == 1) return (x * pow(x, y - 1)) % mod; long root = pow(x, y / 2); return root * root % mod; } public static void main(String[] args) throws Exception { is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes()); out = new PrintWriter(System.out); solve(); out.flush(); } //input static InputStream is; static PrintWriter out; static String INPUT = ""; private static byte[] inbuf = new byte[1024]; static int lenbuf = 0, ptrbuf = 0; private static int readByte() { if (lenbuf == -1) throw new InputMismatchException(); if (ptrbuf >= lenbuf) { ptrbuf = 0; try { lenbuf = is.read(inbuf); } catch (IOException e) { throw new InputMismatchException(); } if (lenbuf <= 0) return -1; } return inbuf[ptrbuf++]; } private static boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); } private static int skip() { int b; while ((b = readByte()) != -1 && isSpaceChar(b)) ; return b; } @SuppressWarnings("unused") private static double nd() { return Double.parseDouble(ns()); } @SuppressWarnings("unused") private static char nc() { return (char) skip(); } private static String ns() { int b = skip(); StringBuilder sb = new StringBuilder(); while (!(isSpaceChar(b))) { sb.appendCodePoint(b); b = readByte(); } return sb.toString(); } private static char[] ns(int n) { char[] buf = new char[n]; int b = skip(), p = 0; while (p < n && !(isSpaceChar(b))) { buf[p++] = (char) b; b = readByte(); } return n == p ? buf : Arrays.copyOf(buf, p); } @SuppressWarnings("unused") private static char[][] nm(int n, int m) { char[][] map = new char[n][]; for (int i = 0; i < n; i++) map[i] = ns(m); return map; } @SuppressWarnings("unused") private static int[] na(int n) { int[] a = new int[n]; for (int i = 0; i < n; i++) a[i] = ni(); return a; } @SuppressWarnings("unused") private static long[] nla(int n) { long[] a = new long[n]; for (int i = 0; i < n; i++) a[i] = nl(); return a; } @SuppressWarnings("unused") private static int[][] na(int n, int m) { int[][] res = new int[n][m]; for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { res[i][j] = ni(); } } return res; } @SuppressWarnings("unused") private static long[][] nla(int n, int m) { long[][] res = new long[n][m]; for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { res[i][j] = nl(); } } return res; } private static int ni() { int num = 0, b; boolean minus = false; while ((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-')) ; if (b == '-') { minus = true; b = readByte(); } while (true) { if (b >= '0' && b <= '9') { num = num * 10 + (b - '0'); } else { return minus ? -num : num; } b = readByte(); } } private static long nl() { long num = 0; int b; boolean minus = false; while ((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-')) ; if (b == '-') { minus = true; b = readByte(); } while (true) { if (b >= '0' && b <= '9') { num = num * 10 + (b - '0'); } else { return minus ? -num : num; } b = readByte(); } } }