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.*;
import java.lang.Math;
import java.util.*;

public class Main
{	
	public BufferedReader in;
	public PrintStream out;
	
	public boolean log_enabled = true;
	
	public void test()
	{
		long n = readLong();
		int m = readInt();
		
		int i,u,v;
		int[] a = new int[(int)(n+1)];
		
		for (i=1; i<=n; i++)
		{
			a[i] = 0;
		}
		
		for (i=0; i<m; i++)
		{
			u = readInt();
			v = readInt();
			a[u]++; a[v]++;
		}
		
		long s = 0;
		for (i=1; i<=n; i++)
		{
			s += a[i] * (n - a[i] - 1);
		}
		
		s /= 2;
		
		out.println(n*(n-1)*(n-2)/6 - s);
	}
    
	public void run()
	{
		try
		{
			in = new BufferedReader(new InputStreamReader(System.in));
			out = System.out;
			
			//in = new BufferedReader(new FileReader("in.txt"));
			//out = new PrintStream(new File("out.txt"));
			
			
		}
		catch (Exception e)
		{
			return;
		}
		
		//while (true)
		{
			//int t = readInt(); for (int i=0; i<t; i++)					
			{
				test();
			}
		}
	}
	
	public static void main(String args[])
	{
		new Main().run();
	}
	
	private StringTokenizer tokenizer = null;
	
	public int readInt() 
	{
        return Integer.parseInt(readToken());
    }
   
    public long readLong() 
	{
        return Long.parseLong(readToken());
    }
   
    public double readDouble() 
	{
        return Double.parseDouble(readToken());
    }
   
	public String readLn()
	{	
		try
		{
			String s;
			while ((s = in.readLine()).length()==0);
			return s;
		}
		catch (Exception e)
		{
			return "";
		}
	}
	
    public String readToken() 
	{
		try
		{
			while (tokenizer == null || !tokenizer.hasMoreTokens()) 
			{
				tokenizer = new StringTokenizer(in.readLine());
			}
			return tokenizer.nextToken();
		}
		catch (Exception e)
		{
			return "";
		}
    }
	
	public int[] readIntArray(int n)
	{
		int[] x = new int[n];
		readIntArray(x, n);
		return x;
	}
	
	public void readIntArray(int[] x, int n)
	{
		for (int i=0; i<n; i++)
		{
			x[i] = readInt();
		}
	}
	
	public void logWrite(String format, Object... args)
	{
		if (!log_enabled)
		{
			return;
		}
		
		out.printf(format, args);
	}
}

