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// Arti1990, II UWr

#include <bits/stdc++.h>

#define forr(i, n)                  for(int i=0; i<n; i++)
#define FOREACH(iter, coll)         for(auto iter = coll.begin(); iter != coll.end(); ++iter)
#define FOREACHR(iter, coll)        for(auto iter = coll.rbegin(); iter != coll.rend(); ++iter)
#define lbound(P,K,FUN)             ({auto SSS=P, PPP = P-1, KKK=(K)+1; while(PPP+1!=KKK) {SSS = (PPP+(KKK-PPP)/2); if(FUN(SSS)) KKK = SSS; else PPP = SSS;} PPP;})
#define testy()                     int _tests; cin>>_tests; FOR(_test, 1, _tests)
#define CLEAR(tab)                  memset(tab, 0, sizeof(tab))
#define CONTAIN(el, coll)           (coll.find(el) != coll.end())
#define FOR(i, a, b)                for(int i=a; i<=b; i++)
#define FORD(i, a, b)               for(int i=a; i>=b; i--)
#define MP                          make_pair
#define PB                          push_back
#define ff                          first
#define ss                          second
#define deb(X)                      X;
#define SIZE(coll) 					((int)coll.size())

#define M 1000000007
#define INF 1000000007LL

using namespace std;

int n, k, tab[3007][3007];
long long odwr[1000007];
map <int, vector<vector<int>>> mapa;

pair <long long, long long> euklid(long long a, long long b)
{
    if(b == 0)   return make_pair(1, 0);
    pair <long long, long long> p = euklid(b, a%b);
    return make_pair(p.second, p.first - p.second * (a/b));
}

long long odwrotnosc(long long a, long long mod)
{
    long long e = euklid(a, mod).first;
    return (e < 0 ? mod-((-e) % mod) : (e % mod));
}

void init()
{
    FOR(i, 1, 3005)
        odwr[i] = odwrotnosc(i, M);
}

void solve1()
{
    long long res = 0;
    FOR(i, 1, n)
    {
        int pos = i;
        vector <int> pozycje;
        do
        {
            pozycje.PB(pos);
            pos = tab[0][pos];
        } while (pos != i);
        int dl = pozycje.size();

        /*forr(i, pozycje.size())
        {
            cout << dl << " " << i << " " << pozycje[i] << '\n';
        }*/
        forr(i, pozycje.size())
        {
            for(auto &el : mapa)
            {
                int d = el.ff;
                int nwd = gcd(d, dl);
                for(int j = i%nwd; j < d; j += nwd)
                    for(auto &x : el.ss[j])
                        if(x > pozycje[i])
                        {

                            res = (res + odwr[d/nwd]*odwr[dl]) % M;
                        }
            }
        }
        if(mapa.count(dl) == 0)
            mapa[dl] = vector<vector<int>>(dl);
        forr(i, pozycje.size())
            mapa[dl][i].PB(pozycje[i]);
    }

    cout << res << '\n';
}

int inwersje(vector <char> &v)
{
    int ile = 0;
    forr(i, v.size())
        forr(j, i)
            if(v[j] > v[i])
                ile++;
    return ile;
}

vector <char> nakladaj(vector <char> &v, int nr)
{
    vector <char> res(n, 0);
    forr(i, n)
        res[tab[nr][i+1]-1] = v[i];
    return res;
}

void solvek()
{
    set <vector<char>> byl;
    deque <vector<char>> todo;
    vector <char> v, v2;
    long long res = 0;

    FOR(i, 1, n)
        v.PB(i);
    byl.insert(v);
    todo.PB(v);
    
    while(!todo.empty())
    {
        v = todo.front();
        todo.pop_front();
        res += inwersje(v);
        /*
        for(auto el : v)
            cerr << (int)el << " ";
        cerr << "-> inv: " << inwersje(v) << '\n';
        */
        forr(i, k)
        {
            v2 = nakladaj(v, i);
            if(byl.count(v2) == 0)
            {
                byl.insert(v2);
                todo.PB(v2);
            }
        }
    }
    //cout << res << '\n';
    cout << res*odwrotnosc(byl.size(), M)%M << '\n';
}

int solve()
{
    cin >> n >> k;
    forr(j, k)
        FOR(i, 1, n)
            cin >> tab[j][i];

    if(k == 1)
        solve1(); 
    else
        solvek();

    return 0;
}

int main()
{
    std::ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);

    init();
    solve();

    return 0;
}