Problem: According to the last order issued by the president of Berland every city of the country must have its own Ministry Defense building (their own Pentagon). A megapolis Berbourg was not an exception. This city has n junctions, some pairs of which are connected by two-way roads. Overall there are m roads in the city, no more than one between each pair of junctions.

At the moment choosing a location place for Pentagon in Berbourg is being discussed. It has been decided that Pentagon should cover the territory of five different junctions which are joined into a cycle by roads. In the order to build Pentagon a special wall will be built along the roads (with high-tension razor, high-voltage wire and other attributes). Thus, the number of possible ways of building Pentagon in the city is equal to the number of different cycles at lengths of 5, composed of junctions and roads.

Your task is to prints the number of ways of building Pentagon in Berbourg. Only well-optimized solutions will be accepted. Please, test your code on the maximal testcase.

Input

The first line contains two integers n and m (1 ≤ n ≤ 700;0 ≤ m ≤ n·(n - 1) / 2), where n represents the number of junctions and m is the number of roads in the city. Then follow m lines containing the road descriptions, one in each line. Every road is set by a number of integers ai, bi (1 ≤ ai, bi ≤ n;ai ≠ bi), where ai and bi represent the numbers of junctions, connected by the road. The junctions are numbered from 1 to n. It is not guaranteed that from any junction one can get to any other one moving along the roads.

Output

Print the single number which represents the required number of ways. Please, do not use %lld specificator to read or write 64-bit integers in C++. It is preffered to use cout (also you may use %I64d).

Examples

Input

5 5
1 2
2 3
3 4
4 5
5 1


Output

1


Input

5 10
1 2
1 3
1 4
1 5
2 3
2 4
2 5
3 4
3 5
4 5


Output

12

Solution (in JAVA):

Solution:
import java.io.*;

import java.awt.geom.Point2D;
import java.text.*;
import java.math.*;
import java.util.*;

public class Main implements Runnable {

	final String filename = "";

	int N;
	boolean[][] ss;

	public void solve() throws Exception {
		N = iread();
		int M = iread();
		ss = new boolean[N][N];
		for (int i = 0; i < M; i++) {
			int x = iread(), y = iread();
			x--;
			y--;
			ss[x][y] = true;
			ss[y][x] = true;
		}

		out.write(smart() + "\n");
	}

	long smart() {
		int[][] tt = new int[N][N];
		int[] v = new int[N];
		for (int a = 0; a < N; a++)
			for (int b = a + 1; b < N; b++) {
				if (ss[a][b]) {
					v[a]++;
					v[b]++;
				}
				for (int c = 0; c < N; c++)
					if (ss[a][c] && ss[b][c])
						tt[a][b]++;
				tt[b][a] = tt[a][b];
			}
		long ans = 0;
		for (int a = 0; a < N; a++)
			for (int b = a + 1; b < N; b++) {
				if (!ss[a][b])
					continue;
				for (int c = 0; c < N; c++) {
					if (c == a)
						continue;
					if (c == b)
						continue;
					int k1 = tt[a][c];
					if (ss[b][c])
						k1--;
					int k2 = tt[b][c];
					if (ss[a][c])
						k2--;
					ans += k1 * k2;
				}
				for (int c = 0; c < N; c++)
					if (ss[a][c] && ss[b][c])
						ans -= (v[c] - 2);
			}
		// if (ans % 5 != 0)
		// System.out.println("MEGAFAIL");
		ans /= 5;
		return ans;
	}

	long dummy() {
		long ans = 0;
		for (int a = 0; a < N; a++)
			for (int b = 0; b < N; b++)
				for (int c = 0; c < N; c++)
					for (int d = 0; d < N; d++)
						for (int e = 0; e < N; e++) {
							if (a == b || a == c || a == d || a == e)
								continue;
							if (b == c || b == d || b == e)
								continue;
							if (c == e || c == d)
								continue;
							if (d == e)
								continue;
							if (ss[a][b] && ss[b][c] && ss[c][d] && ss[d][e]
									&& ss[e][a])
								ans++;
						}
		ans /= 10;
		return ans;
	}

	void test() {
		N = 15;
		Random r = new Random(32167);
		for (int k = 0;; k++) {
			ss = new boolean[N][N];
			for (int i = 0; i < N; i++)
				for (int j = i + 1; j < N; j++) {
					ss[i][j] = r.nextBoolean();
					ss[j][i] = ss[i][j];
				}
			long ans1 = smart();
			long ans2 = dummy();
			if (ans1 != ans2) {
				System.out.println("FAIL: smart=" + ans1 + " dummy=" + ans2);
				break;
			} else
				System.out.println(k);
		}
	}

	void test2() {
		long t = System.currentTimeMillis();
		N = 700;
		ss = new boolean[N][N];
		for (int i = 0; i < N; i++)
			for (int j = i + 1; j < N; j++) {
				ss[i][j] = true;
				ss[j][i] = true;
			}
		long ans = smart();
		System.out.println(ans);
		System.out.println((System.currentTimeMillis() - t) + " ms");
	}

	public void run() {
		try {
//			test2();
			in = new BufferedReader(new InputStreamReader(System.in));
			out = new BufferedWriter(new OutputStreamWriter(System.out));
			// in = new BufferedReader(new FileReader(filename+".in"));
			// out = new BufferedWriter(new FileWriter(filename+".out"));
			solve();
			out.flush();
		} catch (Exception e) {
			e.printStackTrace();
			System.exit(1);
		}
	}

	public int iread() throws Exception {
		return Integer.parseInt(readword());
	}

	public double dread() throws Exception {
		return Double.parseDouble(readword());
	}

	public long lread() throws Exception {
		return Long.parseLong(readword());
	}

	BufferedReader in;

	BufferedWriter out;

	public String readword() throws IOException {
		StringBuilder b = new StringBuilder();
		int c;
		c = in.read();
		while (c >= 0 && c <= ' ')
			c = in.read();
		if (c < 0)
			return "";
		while (c > ' ') {
			b.append((char) c);
			c = in.read();
		}
		return b.toString();
	}

	public static void main(String[] args) {
		try {
			Locale.setDefault(Locale.US);
		} catch (Exception e) {

		}
		new Thread(new Main()).start();
		// new Thread(null, new Main(), "1", 1<<25).start();
	}
}