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#include <bits/stdc++.h>

using namespace std;

#define sim template < class c
#define ris return * this
#define dor > debug & operator <<
#define eni(x) sim > typename \
enable_if<sizeof dud<c>(0) x 1, debug&>::type operator<<(c i) {
sim > struct rge { c b, e; };
sim > rge<c> range(c i, c j) { return {i, j}; }
sim > auto dud(c* x) -> decltype(cerr << *x, 0);
sim > char dud(...);
struct debug {
#ifdef LOCAL
~debug() { cerr << endl; }
eni(!=) cerr << boolalpha << i; ris; }
eni(==) ris << range(begin(i), end(i)); }
sim, class b dor(pair < b, c > d) {
  ris << "(" << d.first << ", " << d.second << ")";
}
sim dor(rge<c> d) {
  *this << "[";
  for (c it = d.b; it != d.e; ++it)
    *this << ", " + 2 * (it == d.b) << *it;
  ris << "]";
}
#else
sim dor(const c&) { ris; }
#endif
};
#define imie(x...) " [" #x ": " << (x) << "] "

using ld = long double;
using ll = long long;

constexpr int mod = 1000 * 1000 * 1000 + 7;
constexpr int odw2 = (mod + 1) / 2;

void OdejmijOd(int& a, int b) { a -= b; if (a < 0) a += mod; }
int Odejmij(int a, int b) { OdejmijOd(a, b); return a; }
void DodajDo(int& a, int b) { a += b; if (a >= mod) a -= mod; }
int Dodaj(int a, int b) { DodajDo(a, b); return a; }
int Mnoz(int a, int b) { return (ll) a * b % mod; }
void MnozDo(int& a, int b) { a = Mnoz(a, b); }
int Pot(int a, ll b) { int res = 1; while (b) { if (b % 2 == 1) MnozDo(res, a); a = Mnoz(a, a); b /= 2; } return res; }
int Odw(int a) { return Pot(a, mod - 2); }
void PodzielDo(int& a, int b) { MnozDo(a, Odw(b)); }
int Podziel(int a, int b) { return Mnoz(a, Odw(b)); }
int Moduluj(ll x) { x %= mod; if (x < 0) x += mod; return x; }

template <typename T> T Maxi(T& a, T b) { return a = max(a, b); }
template <typename T> T Mini(T& a, T b) { return a = min(a, b); }

constexpr int nax = 3005;
int pax;

using Int = short;

using Perm = array<Int, nax>;

debug& operator<<(debug& deb, const Perm& p) {
  #ifdef LOCAL
  deb << "P[";
  vector<bool> odw(pax, false);
  for (int i = 0; i < pax; i++) {
    if (odw[i]) continue;
    vector<int> cykl = {i};
    while (true) {
      const int j = p[cykl.back()];
      odw[j] = true;
      if (j == i) break;
      cykl.push_back(j);
    }
    if ((int) cykl.size() >= 2) {
      deb << "{";
      for (int j = 0; j < (int) cykl.size(); j++) {
        if (j) deb << ",";
        deb << cykl[j];
      }
      deb << "}";
    }
  }
  return deb << "]";
  #else
  return deb;
  #endif
}

void MakeIdent(Perm& p) {
  iota(p.begin(), p.begin() + pax, 0);
}

void PermMnozDo(Perm& p, const Perm& q) {
  // p = p * q
  for (int i = 0; i < pax; i++) {
    p[i] = q[p[i]];
  }
}

void PermMnozInvDo(Perm& p, const Perm& q_inv) {
  // p = p * q^(-1)
  static Perm tmp;
  for (int i = 0; i < pax; i++) {
    tmp[q_inv[i]] = i;
  }
  PermMnozDo(p, tmp);
}

void InversePerm(const Perm& in, Perm& out) {
  for (int i = 0; i < pax; i++) {
    out[in[i]] = i;
  }
}

int GetBasepoint(const Perm& p) {
  int cnt = 0;
  for (int i = 0; i < pax; i++) {
    if (p[i] != i) {
      cnt++;
      //return i;
    }
  }
  if (cnt == 0) return -1;
  cnt = rand() % cnt;
  for (int i = 0; i < pax; i++) {
    if (p[i] != i) {
      if (cnt--) {
        return i;
      }
    }
  }
  assert(false);
  return -1;
}

bool jest[nax];
Perm skok[nax];
Perm skokinv[nax];
vector<int> orbita;
int mnoznik[nax];

bitset<nax> graf[nax];

int LiczZ(int a, const vector<Perm>& input) {
  fill(jest, jest + pax, false);
  MakeIdent(skok[a]);
  jest[a] = true;
  orbita = {a};
  for (int i = 0; i < (int) orbita.size(); i++) {
    const int o = orbita[i];
    assert(jest[o]);
    for (const Perm& p : input) {
      const int u = p[o];
      if (!jest[u]) {
        jest[u] = true;
        orbita.push_back(u);
        for (int j = 0; j < pax; j++) {
          skok[u][j] = p[skok[o][j]];
        }
        assert(skok[u][a] == u);
      }
    }
  }
  debug() << imie(a) imie(orbita);

  for (int i = 0; i < pax; i++) {
    if (jest[i]) {
      InversePerm(skok[i], skokinv[i]);
    }
  }

  fill(mnoznik, mnoznik + pax, 0);
  for (int i = 0; i < pax; i++) {
    if (jest[i]) {
      for (int x = 0; x < pax; x++) {
        mnoznik[x] += (skok[i][x] > i);
      }
    }
  }
  for (int i = 0; i < pax; i++) {
    mnoznik[i] = Moduluj(mnoznik[i]);
  }
  debug() << imie(a) << range(mnoznik, mnoznik + pax);

  for (int i = 0; i < pax; i++) {
    graf[i].reset();
  }

  for (int i = 0; i < pax; i++) {
    if (jest[i]) {
      for (const Perm& p : input) {
        const int qa = p[skok[i][a]];
        for (int j = 0; j < pax; j++) {
          graf[j][skokinv[qa][p[skok[i][j]]]] = true;
        }
      }
    }
  }

  for (int c = 0; c < pax; c++) {
    for (int i = 0; i < pax; i++) {
      if (graf[i][c]) {
        graf[i] |= graf[c];
      }
    }
  }

  int wynik = 0;
  for (int b = 0; b < a; b++) {
    int sposoby = 0;
    int suma = 0;
    for (int c = 0; c < pax; c++) {
      if (graf[b][c]) {
        sposoby++;
        DodajDo(suma, mnoznik[c]);
      }
    }
    MnozDo(sposoby, (int) orbita.size());
    debug() << imie(a) imie(b) imie(sposoby) imie(suma);
    DodajDo(wynik, Podziel(suma, sposoby));
  }
  return wynik;
}

int main() {
  srand(time(0));
  ios_base::sync_with_stdio(false);
  cin.tie(nullptr);

  int n, k;
  cin >> n >> k;
  assert(n <= nax);
  pax = n;

  vector<Perm> input(k);
  for (int ki = 0; ki < k; ki++) {
    auto& p = input[ki];
    MakeIdent(p);
    for (int i = 0; i < n; i++) {
      cin >> p[i];
      p[i]--;
      assert(0 <= p[i] and p[i] < n);
    }
    #ifdef LOCAL
    debug() << imie(p);
    #endif
  }

  int wynik = 0;
  for (int i = 0; i < n; i++) {
    const int wi = LiczZ(i, input);
    debug() << imie(i) imie(wi);
    DodajDo(wynik, wi);
  }
  cout << wynik << endl;
  return 0;
}