#include <bits/stdc++.h>
#define For(i, a, b) for(int (i)=(int)(a); (i)<(int)(b); ++(i))
#define rFor(i, a, b) for(int (i)=(int)(a)-1; (i)>=(int)(b); --(i))
#define rep(i, n) For((i), 0, (n))
#define rrep(i, n) rFor((i), (n), 0)
#define fi first
#define se second
using namespace std;
typedef long long lint;
typedef unsigned long long ulint;
typedef pair<int, int> pii;
typedef pair<lint, lint> pll;
template<class T> bool chmax(T &a, const T &b){if(a<b){a=b; return true;} return false;}
template<class T> bool chmin(T &a, const T &b){if(a>b){a=b; return true;} return false;}
template<class T> T div_floor(T a, T b){
    if(b < 0) a *= -1, b *= -1;
    return a>=0 ? a/b : (a+1)/b-1;
}
template<class T> T div_ceil(T a, T b){
    if(b < 0) a *= -1, b *= -1;
    return a>0 ? (a-1)/b+1 : a/b;
}

constexpr lint mod = 1e9+7;
constexpr lint INF = mod * mod;
constexpr int MAX = 200010;

template<int_fast64_t MOD> struct modint{
    using i64=int_fast64_t;
    i64 a;
    modint(const i64 a_=0): a(a_){
        if(a>MOD) a%=MOD;
        else if(a<0) (a%=MOD)+=MOD;
    }
    modint inv(){
        i64 t=1, n=MOD-2, x=a;
        while(n){
            if(n&1) (t*=x)%=MOD;
            (x*=x)%=MOD;
            n>>=1;
        }
        modint ret(t);
        return ret;
    }
    bool operator==(const modint x) const{return a==x.a;}
    bool operator!=(const modint x) const{return a!=x.a;}
    modint operator+(const modint x) const{
        return modint(*this)+=x;
    }
    modint operator-(const modint x) const{
        return modint(*this)-=x;
    }
    modint operator*(const modint x) const{
        return modint(*this)*=x;
    }
    modint operator/(const modint x) const{
        return modint(*this)/=x;
    }
    modint operator^(const lint x) const{
        return modint(*this)^=x;
    }
    modint &operator+=(const modint &x){
        a+=x.a;
        if(a>=MOD) a-=MOD;
        return *this;
    }
    modint &operator-=(const modint &x){
        a-=x.a;
        if(a<0) a+=MOD;
        return *this;
    }
    modint &operator*=(const modint &x){
        (a*=x.a)%=MOD;
        return *this;
    }
    modint &operator/=(modint x){
        (a*=x.inv().a)%=MOD;
        return *this;
    }
    modint &operator^=(lint n){
        i64 ret=1;
        while(n){
            if(n&1) (ret*=a)%=MOD;
            (a*=a)%=MOD;
            n>>=1;
        }
        a=ret;
        return *this;
    }
    modint operator-() const{
        return modint(0)-*this;
    }
    modint &operator++(){
        return *this+=1;
    }
    modint &operator--(){
        return *this-=1;
    }
    bool operator<(const modint x) const{
        return a<x.a;
    }
};

using mint=modint<1000000007>;

vector<mint> fact;
vector<mint> revfact;

void setfact(int n){
    fact.resize(n+1); revfact.resize(n+1);
    fact[0] = 1;
    rep(i, n) fact[i+1] = fact[i] * mint(i+1);

    revfact[n] = fact[n].inv();
    for(int i=n-1; i>=0; i--) revfact[i] = revfact[i+1] * mint(i+1);
}

mint getC(int n, int r){
    if(n<r) return 0;
    return fact[n] * revfact[r] * revfact[n-r];
}

//using mat = vector<vector<mint>>;
using mat = array<array<lint, 216>, 216>;
mat c;

void mul(mat a, mat b){
    int n = 216;
    rep(i, n)rep(j, n){
        c[i][j] = 0;
        rep(k, n){
            c[i][j] += (a[i][k] * b[k][j]) % mod;
            if(c[i][j] >= mod) c[i][j] -= mod;
        }
    }
}

mat pow(mat a, int n){
    int m = 216;
    mat b;
    rep(i, m)rep(j, m) b[i][j] = (i == j);
    while(n){
        if(n & 1) mul(a, b), swap(b, c), --n;
        else mul(a, a), swap(a, c), n >>= 1;
    }
    return b;
}

int main(){
    int K, m; lint n;
    scanf("%d%d%lld", &K, &m, &n);
    int p[m], q[m], r[m];
    rep(i, m){
        scanf("%d%d%d", &p[i], &q[i], &r[i]);
        --p[i]; --q[i]; --r[i];
    }
    if(n == 3){
        set<pair<int, pii>> S;
        rep(i, m)if(p[i]==0 && r[i]==0) S.insert({p[i], {q[i], r[i]}});
        printf("%d\n", S.size());
        return 0;
    }

    mat a;
    rep(i, 216)rep(j, 216) a[i][j] = 0;
    int idx[6][6][6], cur = 0;
    rep(i, 6)rep(j, 6)rep(k, 6) idx[i][j][k] = cur++;

    rep(i, m)rep(j, m)if(q[i]==p[j] && r[i]==q[j]){
        a[idx[p[i]][q[i]][r[i]]][idx[p[j]][q[j]][r[j]]] = 1;
    }
    a = pow(a, n-3);

    lint ans = 0;
    rep(j, K)rep(k, K)rep(s, K)rep(t, K){
        ans += a[idx[0][j][k]][idx[s][t][0]];
        if(ans >= mod) ans -= mod;
    }
    printf("%lld\n", ans);
}