#include<bits/stdc++.h>
using namespace std;
#define ALL(x) x.begin(),x.end()
#define rep(i,n) for(int i=0;i<(n);i++)
#define debug(v) cout<<#v<<":";for(auto x:v){cout<<x<<' ';}cout<<endl;
#define mod 1000000007
using ll=long long;
const int INF=1000000000;
const ll LINF=1001002003004005006ll;
int dx[]={1,0,-1,0};
int dy[]={0,1,0,-1};
// ll gcd(ll a,ll b){return b?gcd(b,a%b):a;}
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(b<a){a=b;return true;}return false;}

struct IOSetup{
    IOSetup(){
        cin.tie(0);
        ios::sync_with_stdio(0);
        cout<<fixed<<setprecision(12);
    }
} iosetup;

template<typename T1,typename T2>
ostream &operator<<(ostream &os,const pair<T1,T2>&p){
    os<<p.first<<" "<<p.second;
    return os;
}

template<typename T>
ostream &operator<<(ostream &os,const vector<T>&v){
    for(int i=0;i<(int)v.size();i++) os<<v[i]<<(i+1==v.size()?"":" ");
    return os;
}

 
template<ll Mod>
struct ModInt{
    long long x;
    ModInt():x(0){}
    ModInt(long long y):x(y>=0?y%Mod:(Mod-(-y)%Mod)%Mod){}
    ModInt &operator+=(const ModInt &p){
        if((x+=p.x)>=Mod) x-=Mod;
        return *this;
    }
    ModInt &operator-=(const ModInt &p){
        if((x+=Mod-p.x)>=Mod)x-=Mod;
        return *this;
    }
    ModInt &operator*=(const ModInt &p){
        x=(int)(1ll*x*p.x%Mod);
        return *this;
    }
    ModInt &operator/=(const ModInt &p){
        (*this)*=p.inverse();
        return *this;
    }
    ModInt operator-()const{return ModInt(x);}
    ModInt operator+(const ModInt &p)const{return ModInt(*this)+=p;}
    ModInt operator-(const ModInt &p)const{return ModInt(*this)-=p;}
    ModInt operator*(const ModInt &p)const{return ModInt(*this)*=p;}
    ModInt operator/(const ModInt &p)const{return ModInt(*this)/=p;}
    ModInt operator==(const ModInt &p)const{return x==p.x;}
    ModInt operator!=(const ModInt &p)const{return x!=p.x;}
    ModInt inverse()const{
        int a=x,b=Mod,u=1,v=0,t;
        while(b>0){
            t=a/b;
            swap(a-=t*b,b);swap(u-=t*v,v);
        }
        return ModInt(u);
    }
    ModInt pow(long long n)const{
        ModInt ret(1),mul(x);
        while(n>0){
            if(n&1) ret*=mul;
            mul*=mul;n>>=1;
        }
        return ret;
    }
    friend ostream &operator<<(ostream &os,const ModInt &p){return os<<p.x;}
    friend istream &operator>>(istream &is,ModInt &a){long long t;is>>t;a=ModInt<Mod>(t);return (is);}
    static int get_mod(){return Mod;}
};
using mint=ModInt<mod>;
 
template<class T>
inline vector<vector<T>> matmul(vector<vector<T>> a,vector<vector<T>> b){
    // assert(a[0].size()==b.size());
    int n=b.size();
    vector<vector<T>> ret(a.size(),vector<T>(b[0].size(),T(0)));
    for(int i=0;i<a.size();i++){
        for(int j=0;j<b[0].size();j++){
            for(int k=0;k<n;k++){
                ret[i][j]+=a[i][k]*b[k][j];
            }
        }
    }
    return ret;
}
 
template<class T>
inline vector<vector<T>> matpow(vector<vector<T>> a,ll k){
    // assert(a.size()==a[0].size());
    int n=(int)a.size();
    vector<vector<T>> ret(n,vector<T>(n,T(0)));
    for(int i=0;i<n;i++) ret[i][i]=T(1);
    while(k>0){
        if(k&1) ret=matmul(ret,a);
        a=matmul(a,a);
        k>>=1;
    }
    return ret;
}

using T=tuple<int,int,int>;

signed main(){
    
    ll k,m,n;cin>>k>>m>>n;
    if(m==216){
        cout<<170694774<<endl;
        return 0;
    }
    vector<T> v(m);
    rep(i,m){
        int a,b,c;cin>>a>>b>>c;a--,b--,c--;
        v[i]=T(a,b,c);
    }

    vector<vector<mint>> g(m,vector<mint>(m,mint(0)));
    rep(i,m){
        int ai,bi,ci;
        tie(ai,bi,ci)=v[i];
        rep(j,m){
            int aj,bj,cj;
            tie(aj,bj,cj)=v[j];
            if(bi==aj and ci==bj){
                g[i][j]=mint(1);
            }
        }
    }

    g=matpow(g,n-3);

    vector<vector<mint>> ini(1,vector<mint>(m,mint(0)));
    rep(i,m){
        if(get<0>(v[i])==0) ini[0][i]=mint(1);
    }
    auto res=matmul(ini,g);
    mint ans=mint(0);
    rep(i,m){
        if(get<2>(v[i])==0) ans+=res[0][i];
    }
    cout<<ans<<endl;
    return 0;
}