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#include <bits/stdc++.h>
using namespace std;
using ll = long long;

#ifdef DEBUG
#include "debug.h"
#else
#define debug(...) 42
#endif

#define all(x) begin(x), end(x)
#define rall(x) rbegin(x), rend(x)

#define rep(i, n) for (int i = 0; i < (n); ++i)
#define repp(i, n, m) for (int i = (n); i < (m); ++i)

#define repr(i, n) for (int i = (n) - 1; i >= 0; --i)
#define reppr(i, n, m) for (int i = (m) - 1; i >= (n); --i)

#define each(a,x) for(auto& a : (x))
#define sz(x) int((x).size())

using vi = vector<int>;
using vvi = vector<vi>;
using vll = vector<ll>;
using pi = pair<int, int>;
using pll = pair<ll, ll>;

template <typename T, typename V> void mini(T& a, V b) {if (b < a) a = b; }
template <typename T, typename V> void maxi(T& a, V b) {if (b > a) a = b; }

const int P = 1e9 + 7, phiP = P - 1;
struct modint {
    int x = 0;
    modint operator+(modint o) const {return {x + o.x >= P ? x + o.x - P : x + o.x}; }
    modint operator-(modint o) const {return {x < o.x ? x - o.x + P : x - o.x}; }
    modint operator+() const {return *this; }
    modint operator-() const {return {x ? P - x : 0}; }
    modint operator*(modint o) const {return {int(ll(x) * o.x % P)}; }
    modint operator/(modint o) const {return *this * o.inv(); }
    modint & operator+=(modint o) {return *this = *this + o; }
    modint & operator-=(modint o) {return *this = *this - o; }
    modint & operator*=(modint o) {return *this = *this * o; }
    modint & operator/=(modint o) {return *this = *this / o; }
    modint pow(ll e) const {
        modint ret{1}, b(*this);
        for (; e; e >>= 1) {
            if (e & 1)
                ret *= b;
            b *= b;
        }
        return ret;
    }
    modint inv() const {return pow(phiP - 1); }
    friend void __dbg(modint m) {
        cout << m.x - P * (2 * m.x >= P);
    }
};

vi operator*(const vi& a, const vi& b) {
    vi c(sz(a));
    rep(i, sz(a)) c[i] = a[b[i]];
    return c;
}

vvi thin_gen(vvi gens) {
    static mt19937_64 rnd(1654450);
    vvi ret;

    rep(_, 80) {
        shuffle(all(gens), rnd);

        vi id = gens[0];
        iota(all(id), 0);

        for (vi &v : gens) if (rnd() & 1)
            id = id * v;
        ret.push_back(id);
    }

    return ret;
}

vvi gens;
array<bitset<3000>, 3000> bs;
array<int, 2> seen;

void dfs(int i, int j) {
    assert(!bs[i][j]);
    bs[i][j] = true;
    ++seen[i < j];

    for (vi &v : gens) {
        if (bs[v[i]][v[j]])
            continue;
        dfs(v[i], v[j]);
    }
}

array<modint, 3000 * 3000 * 2 + 50> precomp;
modint invcache(int a) {
    if (precomp[a].x == 0)
        precomp[a] = modint{a}.inv();
    return precomp[a];
}

void solve() {
    int n, k;
    cin >> n >> k;
    gens = vvi(k, vi(n));
    for (vi &v : gens) for (int &i : v) {
        cin >> i; --i;
    }
    gens = thin_gen(move(gens));

    modint ans;

    rep(j, n) rep(i, j) {
        if (bs[i][j] || bs[j][i])
            continue;
        seen[0] = seen[1] = 0;
        dfs(i, j);
        // debug(seen);

        if (bs[j][i])
            ans += modint{(P+1) / 2} * modint{seen[0]};
        else
            ans += modint{seen[0]} * modint{seen[1]} * modint{2} * invcache(seen[0]+seen[1]);
    }
    cout << ans.x << '\n';
}

int main() {
#ifdef DEBUG
    const int MEMSIZE = 1024 * 1024 * 1024;
    static_assert(MEMSIZE % 16 == 0);
    static char stack[MEMSIZE];
    asm volatile (
        "mov %[newstack], %%rsp\n"
        "call *%[funcptr]"
        :: [funcptr] "r" (solve), [newstack] "r" (stack + MEMSIZE)
    );
    exit(0);
#else
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    solve();
#endif
}