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

#include <bits/stdc++.h>
using namespace std;
const long double EPS = 1e-6;
const int INF = 1000000000;
int gauss(vector<vector<long double> > a, vector<long double>& ans) {
  int n = (int)a.size();
  int m = (int)a[0].size() - 1;
  vector<int> where(m, -1);
  for (int col = 0, row = 0; col < m && row < n; ++col) {
    int sel = row;
    for (int i = row; i < n; ++i)
      if (abs(a[i][col]) > abs(a[sel][col])) sel = i;
    if (abs(a[sel][col]) < EPS) continue;
    for (int i = col; i <= m; ++i) swap(a[sel][i], a[row][i]);
    where[col] = row;
    for (int i = 0; i < n; ++i)
      if (i != row) {
        long double c = a[i][col] / a[row][col];
        for (int j = col; j <= m; ++j) a[i][j] -= a[row][j] * c;
      }
    ++row;
  }
  ans.assign(m, 0);
  for (int i = 0; i < m; ++i)
    if (where[i] != -1) ans[i] = a[where[i]][m] / a[where[i]][i];
  for (int i = 0; i < n; ++i) {
    long double sum = 0;
    for (int j = 0; j < m; ++j) sum += ans[j] * a[i][j];
    if (abs(sum - a[i][m]) > EPS) return 0;
  }
  for (int i = 0; i < m; ++i)
    if (where[i] == -1) return INF;
  return 1;
}
int n, m;
int deg[1 << 20];
int main() {
  scanf("%d %d", &n, &m);
  memset(deg, 0, sizeof(deg));
  for (int i = 0; i < m; ++i) {
    int a, b;
    scanf("%d %d", &a, &b);
    --a;
    --b;
    ++deg[a];
    ++deg[b];
  }
  vector<vector<long double> > a(4);
  vector<long double> ans;
  a[0] = vector<long double>(5);
  a[0][0] = a[0][1] = a[0][2] = a[0][3] = 1;
  a[0][4] = (long double)n * (n - 1) * (n - 2) / 6;
  a[1] = vector<long double>(5);
  a[1][0] = 0;
  a[1][1] = 1;
  a[1][2] = 2;
  a[1][3] = 3;
  a[1][4] = (long double)m * (n - 2);
  a[2] = vector<long double>(5);
  a[2][0] = 3;
  a[2][1] = 2;
  a[2][2] = 1;
  a[2][3] = 0;
  a[2][4] = (long double)(n - 2) * ((long double)n * (n - 1) / 2 - m);
  long double sm = 0;
  for (int i = 0; i < n; ++i) {
    sm += (long double)deg[i] * (deg[i] - 1) / 2;
  }
  a[3] = vector<long double>(5);
  a[3][0] = a[3][1] = 0;
  a[3][2] = 1;
  a[3][3] = 3;
  a[3][4] = sm;
  int k = gauss(a, ans);
  if (k != 1) {
  }
  long long tot = (long long)n * (long long)(n - 1) * (long long)(n - 2) / 6;
  long long sl = (long long)(ans[1] + ans[2] + ans[3] + 1e-6);
  sl = tot - sl;
  printf("%lld\n", sl);
  return 0;
}
