Problem:
Strongly Connected Components

A direced graph is strongly connected if every two nodes are reachable from each other. In a strongly connected component of a directed graph, every two nodes of the component are mutually reachable.

Input

A directed graph G(V, E) and a sequence of queries where each query contains a pair of nodes u and v.

|V| |E|
s0 t0
s1 t1
:
s|E|-1 t|E|-1
Q
u0 v0
u1 v1
:
uQ-1 vQ-1

|V| is the number of nodes and |E| is the number of edges in the graph. The graph nodes are named with the numbers 0, 1,..., |V|-1 respectively.

si and ti represent source and target nodes of i-th edge (directed).

ui and vi represent a pair of nodes given as the i-th query.

Output

For each query, pinrt "1" if the given nodes belong to the same strongly connected component, "0" otherwise.

Constraints

1 ≤ |V| ≤ 10,000

0 ≤ |E| ≤ 30,000

1 ≤ Q ≤ 100,000

Sample Input 1

5 6
0 1
1 0
1 2
2 4
4 3
3 2
4
0 1
0 3
2 3
3 4

Sample Output 1

1
0
1
1

Solution in JAVA (judge verdict: Accepted)

import java.io.IOException;
import java.io.InputStream;
import java.util.ArrayDeque;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.NoSuchElementException;

public class Main implements Runnable {
	public static void main(String[] args) {
		// long t = System.currentTimeMillis();
		new Thread(null, new Main(), "", Runtime.getRuntime().maxMemory()).start();
		// System.err.println(System.currentTimeMillis() - t);
	}

	public void run() {
		solver();
	}

	ArrayList<Integer>[] g;
	int[] ord;
	int[] low;
	int[] col;
	int order = 0;
	int color = 0;
	ArrayDeque<Integer> stk = new ArrayDeque<>();

	void scc() {
		int n = g.length;
		ord = new int[n];
		low = new int[n];
		col = new int[n];
		Arrays.fill(ord, -1);
		Arrays.fill(col, -1);
		for (int i = 0; i < n; ++i) {
			if (ord[i] != -1)
				continue;
			dfs(i);
		}

	}

	void dfs(int cur) {
		ord[cur] = order;
		low[cur] = order;
		++order;
		stk.addFirst(cur);
		for (int dst : g[cur]) {
			if (col[dst] != -1)
				continue;
			if (ord[dst] != -1) {
				low[cur] = Math.min(low[cur], low[dst]);
			} else {
				dfs(dst);
				low[cur] = Math.min(low[cur], low[dst]);
			}
		}
		if (low[cur] == ord[cur]) {
			int v = -1;
			while (v != cur) {
				v = stk.pollFirst();
				col[v] = color;
			}
			++color;
		}
	}

	@SuppressWarnings("unchecked")
	void solver() {
		Scanner sc = new Scanner();
		int V = sc.nextInt();
		int E = sc.nextInt();
		g = new ArrayList[V];
		for (int i = 0; i < g.length; ++i)
			g[i] = new ArrayList<>();
		for (int i = 0; i < E; ++i) {
			int s = sc.nextInt();
			int t = sc.nextInt();
			g[s].add(t);
		}
		scc();
		int Q = sc.nextInt();
		while (Q-- > 0) {
			int u = sc.nextInt();
			int v = sc.nextInt();
			System.out.println(col[u] == col[v] ? 1 : 0);
		}
	}

	class Scanner {
		private final InputStream in = System.in;
		private final byte[] buffer = new byte[1024];
		private int ptr = 0;
		private int buflen = 0;

		private boolean hasNextByte() {
			if (ptr < buflen) {
				return true;
			} else {
				ptr = 0;
				try {
					buflen = in.read(buffer);
				} catch (IOException e) {
					e.printStackTrace();
				}
				if (buflen <= 0) {
					return false;
				}
			}
			return true;
		}

		private int readByte() {
			if (hasNextByte())
				return buffer[ptr++];
			else
				return -1;
		}

		private boolean isPrintableChar(int c) {
			return 33 <= c && c <= 126;
		}

		private void skipUnprintable() {
			while (hasNextByte() && !isPrintableChar(buffer[ptr]))
				ptr++;
		}

		public boolean hasNext() {
			skipUnprintable();
			return hasNextByte();
		}

		public String next() {
			if (!hasNext())
				throw new NoSuchElementException();
			StringBuilder sb = new StringBuilder();
			int b = readByte();
			while (isPrintableChar(b)) {
				sb.appendCodePoint(b);
				b = readByte();
			}
			return sb.toString();
		}

		public long nextLong() {
			if (!hasNext())
				throw new NoSuchElementException();
			long n = 0;
			boolean minus = false;
			int b = readByte();
			if (b == '-') {
				minus = true;
				b = readByte();
			}
			if (b < '0' || '9' < b) {
				throw new NumberFormatException();
			}
			while (true) {
				if ('0' <= b && b <= '9') {
					n *= 10;
					n += b - '0';
				} else if (b == -1 || !isPrintableChar(b)) {
					return minus ? -n : n;
				} else {
					throw new NumberFormatException();
				}
				b = readByte();
			}
		}

		public int nextInt() {
			return (int) nextLong();
		}
	}

	static void tr(Object... objects) {
		System.out.println(Arrays.deepToString(objects));
	}

}