3 3
1 2
3 1
2 3
 2 0
 10 17
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
2 3
3 4
4 5
5 6
6 7
7 8
8 9
9 10
 2 1
1 2
 8 13
1 2
2 3
3 4
4 1
2 4
1 3
5 6
6 7
7 8
8 5
6 8
5 7
1 8
 3 2
1 2
2 3
 10 9
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
 10 40
1 3
2 6
9 10
4 6
1 2
1 8
6 10
3 6
1 4
5 7
3 8
3 9
4 5
3 7
8 9
5 9
5 6
2 3
3 4
1 6
4 8
3 10
5 10
2 8
2 10
4 7
1 10
1 7
4 10
5 8
8 10
7 9
6 8
2 7
4 9
6 9
7 8
6 7
1 5
2 9
 10 9
1 2
2 3
3 1
4 5
5 6
6 7
7 4
4 6
5 7
 1000000 0
 8 11
1 2
1 3
1 4
2 3
2 7
7 4
4 2
7 5
8 1
1 7
7 8
 9 9
1 2
2 3
3 1
4 5
5 6
6 4
7 8
8 9
9 7
 15 14
1 2
1 3
1 4
1 5
2 6
2 7
7 8
7 9
3 10
10 11
4 12
12 13
13 14
13 15
 10 17
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 10
 9 12
1 2
2 3
3 1
1 4
4 5
5 1
1 6
6 7
7 1
1 8
8 9
9 1
 3 1
1 2
 10 5
5 7
4 8
9 10
7 10
6 10
 15 15
1 2
1 3
1 4
1 5
2 6
2 7
7 8
7 9
3 10
10 11
4 12
12 13
13 14
13 15
15 1
 4 3
1 2
2 3
3 1
 10 30
4 9
4 6
1 2
8 10
7 8
4 7
1 8
6 7
5 6
1 5
7 9
1 7
8 9
7 10
9 10
3 9
2 7
5 7
5 9
2 8
2 9
5 8
3 10
1 6
3 6
2 10
6 8
3 4
2 5
4 5
 4 3
1 2
1 3
1 4
 4 6
1 2
2 3
3 4
4 1
1 3
2 4
 10 9
1 2
1 3
1 4
2 5
5 6
2 7
3 8
3 9
9 10
 10 10
1 2
2 3
3 4
4 5
5 6
6 7
7 8
8 9
9 10
10 1
 3 0
 6 6
1 2
2 3
3 1
4 5
5 6
6 4
 10 0
 9 15
1 2
2 3
3 1
1 4
4 5
5 1
1 6
6 7
7 1
1 8
8 9
9 1
2 9
7 4
2 8
 4 0
 1 0

1
 0
 43
 0
 8
 0
 84
 82
 63
 166666166667000000
 21
 30
 292
 64
 36
 0
 84
 284
 1
 37
 1
 4
 59
 50
 1
 2
 120
 28
 4
 0

import java.io.BufferedReader;
import java.io.File;
import java.io.FileReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.math.BigInteger;
import java.util.Arrays;
import java.util.StringTokenizer;

public class Solution implements Runnable {
	private BufferedReader br;
	private StringTokenizer Tokenizer;
	private PrintWriter out;
	
	public static final boolean ONLINE_JUDGE = System.getProperty("ONLINE_JUDGE") != null;
		
	void solve() throws IOException {
		int n = nextInt();
		int m = nextInt();
		int[] deg = new int[n];
		Arrays.fill(deg, n - 1);
		for (int i = 0; i < m; ++i) {
			int u = nextInt();
			int v = nextInt();
			--deg[u - 1];
			--deg[v - 1];
		}
		long sum = 0;
		for (int i = 0; i < n; ++i) {
			sum += (long) deg[i] * (n - deg[i] - 1);
		}
		out.print((long) n * (n - 1) * (n - 2) / 6 - sum / 2);
	}
		
	public void run() {
		try {
			if (ONLINE_JUDGE) {
				br = new BufferedReader(new InputStreamReader(System.in));
				out = new PrintWriter(System.out);
			} else {
				br = new BufferedReader(new FileReader(new File("input.txt")));
				out = new PrintWriter(new File("output.txt"));
			}
			solve();
			br.close();
			out.close();
		} catch (IOException e) {
			e.printStackTrace();
			System.exit(1);
		}
	}
	
	public static void main(String[] args) {
		new Solution().run();
	}	
	
	public String nextToken() throws IOException {
		while (Tokenizer == null || !Tokenizer.hasMoreTokens())
			Tokenizer = new StringTokenizer(br.readLine());
		return Tokenizer.nextToken();
	}
	
	public String nextString() throws IOException {
		return nextToken();
	}
	
	public int nextInt() throws IOException {
		return Integer.parseInt(nextToken());
	}
	
	public long nextLong() throws IOException {
		return Long.parseLong(nextToken());
	}
	
	public double nextDouble() throws IOException {
		return Double.parseDouble(nextToken());
	}
	
	public BigInteger nextBigInteger() throws IOException {
		return new BigInteger(nextToken());
	}
}	