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.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.Random;
import java.util.StringTokenizer;

public class Solution{
	
	
	
    public static void main(String[] args) throws IOException {
     
    	FastScanner fs = new FastScanner();
    	PrintWriter out = new PrintWriter(System.out);
    	
    	
    		
    	int tt = 1;
    	while(tt-->0) {
    		
    		int n = fs.nextInt(), m = fs.nextInt();
    		
    		int[] d = new int[n+1];
    		
    		for(int i=0;i<m;i++) {
    			int u = fs.nextInt(), v = fs.nextInt();
    			d[u]++; d[v]++;
    		}
    		
    		
    		long num = 0;
    		for(int i=1;i<=n;i++) {
    			num += (long)d[i]*(n-d[i]-1);
    		}
    		num /= 2;
    		
    		long ans = (long)n*(n-1)*(n-2)/6 - num;
    		out.println(ans);
    		
    		
    	}
    	
    		
    		
    		
    	out.close();
    		
    }
    
    
    
    
    
   
    
   
    
    
    static final Random random=new Random();
    	
    static void ruffleSort(int[] a) {
    	int n=a.length;//shuffle, then sort 
    	for (int i=0; i<n; i++) {
    		int oi=random.nextInt(n); int temp=a[oi];
    		a[oi]=a[i]; a[i]=temp;
    	}
    	Arrays.sort(a);
    }
    
    static void ruffleSort(long[] a) {
    	int n=a.length;//shuffle, then sort 
    	for (int i=0; i<n; i++) {
    		int oi=random.nextInt(n); long temp=a[oi];
    		a[oi]=a[i]; a[i]=temp;
    	}
    	Arrays.sort(a);
    }
   
  
    
    static void reverse(int[] arr, int l, int r) {
    	for(int i=l;i<l+(r-l)/2;i++){
    		int temp = arr[i]; arr[i] = arr[r-i+l-1]; arr[r-i+l-1] = temp;
    	}
    }
    
    static void reverse(long[] arr, int l, int r) {
    	for(int i=l;i<l+(r-l)/2;i++){
    		long temp = arr[i]; arr[i] = arr[r-i+l-1]; arr[r-i+l-1] = temp;
    	}
    }
    
    
    static <T> void reverse(T[] arr, int l, int r) {
    	for(int i=l;i<l+(r-l)/2;i++) {
    		T temp = arr[i]; arr[i] = arr[r-i+l-1]; arr[r-i+l-1] = temp;
    	}
    }
    	
    	
    static class FastScanner{
    	BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    	StringTokenizer st = new StringTokenizer("");
     
    	public String next(){
    		while(!st.hasMoreElements()){
    			try{
    				st = new StringTokenizer(br.readLine());
    			} catch(IOException e){
    				e.printStackTrace();
    			}
    		}
    		return st.nextToken();
    	}
    		
    	public String nextLine() throws IOException {
    		return br.readLine();
    	}
    		
    	public int nextInt(){
    		return Integer.parseInt(next());
    	}
     
    	public int[] readArray(int n){
    		int[] a = new int[n];
    		for(int i=0;i<n;i++)
    			a[i] = nextInt();
    		return a;
    	}
    		
    	public long nextLong() {
    		return Long.parseLong(next());
    	}
    		
    	public char nextChar() {
    		return next().toCharArray()[0];
    	}
    }
   	
}
