#line 2 "cpplib/util/template.hpp"
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("avx2")
#include<bits/stdc++.h>
using namespace std;
struct __INIT__{__INIT__(){cin.tie(0);ios::sync_with_stdio(false);cout<<fixed<<setprecision(15);}}__INIT__;
typedef long long lint;
#define INF (1LL<<60)
#define IINF (1<<30)
//#define EPS (1e-10)
#define endl ('\n')
typedef vector<lint> vec;
typedef vector<vector<lint>> mat;
typedef vector<vector<vector<lint>>> mat3;
typedef vector<string> svec;
typedef vector<vector<string>> smat;
template<typename T>using V=vector<T>;
template<typename T>using VV=V<V<T>>;
template<typename T>inline void output(T t){bool f=0;for(auto i:t){cout<<(f?" ":"")<<i;f=1;}cout<<endl;}
template<typename T>inline void output2(T t){for(auto i:t)output(i);}
template<typename T>inline void debug(T t){bool f=0;for(auto i:t){cerr<<(f?" ":"")<<i;f=1;}cerr<<endl;}
template<typename T>inline void debug2(T t){for(auto i:t)debug(i);}
#define loop(n) for(long long _=0;_<(long long)(n);++_)
#define _overload4(_1,_2,_3,_4,name,...) name
#define __rep(i,a) repi(i,0,a,1)
#define _rep(i,a,b) repi(i,a,b,1)
#define repi(i,a,b,c) for(long long i=(long long)(a);i<(long long)(b);i+=c)
#define rep(...) _overload4(__VA_ARGS__,repi,_rep,__rep)(__VA_ARGS__)
#define _overload3_rev(_1,_2,_3,name,...) name
#define _rep_rev(i,a) repi_rev(i,0,a)
#define repi_rev(i,a,b) for(long long i=(long long)(b)-1;i>=(long long)(a);--i)
#define rrep(...) _overload3_rev(__VA_ARGS__,repi_rev,_rep_rev)(__VA_ARGS__)

// #define rep(i,...) for(auto i:range(__VA_ARGS__)) 
// #define rrep(i,...) for(auto i:reversed(range(__VA_ARGS__)))
// #define repi(i,a,b) for(lint i=lint(a);i<(lint)(b);++i)
// #define rrepi(i,a,b) for(lint i=lint(b)-1;i>=lint(a);--i)
// #define irep(i) for(lint i=0;;++i)
// inline vector<long long> range(long long n){if(n<=0)return vector<long long>();vector<long long>v(n);iota(v.begin(),v.end(),0LL);return v;}
// inline vector<long long> range(long long a,long long b){if(b<=a)return vector<long long>();vector<long long>v(b-a);iota(v.begin(),v.end(),a);return v;}
// inline vector<long long> range(long long a,long long b,long long c){if((b-a+c-1)/c<=0)return vector<long long>();vector<long long>v((b-a+c-1)/c);for(int i=0;i<(int)v.size();++i)v[i]=i?v[i-1]+c:a;return v;}
// template<typename T>inline T reversed(T v){reverse(v.begin(),v.end());return v;}
#define all(n) begin(n),end(n)
template<typename T,typename E>bool chmin(T& s,const E& t){bool res=s>t;s=min<T>(s,t);return res;}
template<typename T,typename E>bool chmax(T& s,const E& t){bool res=s<t;s=max<T>(s,t);return res;}
const vector<lint> dx={1,0,-1,0,1,1,-1,-1};
const vector<lint> dy={0,1,0,-1,1,-1,1,-1};
#define SUM(v) accumulate(all(v),0LL)
template<typename T,typename ...Args>auto make_vector(T x,int arg,Args ...args){if constexpr(sizeof...(args)==0)return vector<T>(arg,x);else return vector(arg,make_vector<T>(x,args...));}
#define extrep(v,...) for(auto v:__MAKE_MAT__({__VA_ARGS__}))
#define bit(n,a) ((n>>a)&1)
vector<vector<long long>> __MAKE_MAT__(vector<long long> v){if(v.empty())return vector<vector<long long>>(1,vector<long long>());long long n=v.back();v.pop_back();vector<vector<long long>> ret;vector<vector<long long>> tmp=__MAKE_MAT__(v);for(auto e:tmp)for(long long i=0;i<n;++i){ret.push_back(e);ret.back().push_back(i);}return ret;}
using graph=vector<vector<int>>;
template<typename T>using graph_w=vector<vector<pair<int,T>>>;
template<typename T,typename E>ostream& operator<<(ostream& out,pair<T,E>v){out<<"("<<v.first<<","<<v.second<<")";return out;}
constexpr inline long long powll(long long a,long long b){long long res=1;while(b--)res*=a;return res;}
#line 5 "cpplib/math/mod_int.hpp"

/**
 * @brief ModInt
 */

template<int MOD>
struct mod_int {
    using mint=mod_int<MOD>;
    using u64 = std::uint_fast64_t;
    u64 a;
    constexpr mod_int(const long long x = 0)noexcept:a(x>=0?x%get_mod():get_mod()-(-x)%get_mod()){}
    constexpr u64 &value()noexcept{return a;}
    constexpr const u64 &value() const noexcept {return a;}
    constexpr mint operator+(const mint rhs)const noexcept{return mint(*this) += rhs;}
    constexpr mint operator-(const mint rhs)const noexcept{return mint(*this)-=rhs;}
    constexpr mint operator*(const mint rhs) const noexcept {return mint(*this) *= rhs;}
    constexpr mint operator/(const mint rhs) const noexcept {return mint(*this) /= rhs;}
    constexpr mint &operator+=(const mint rhs) noexcept {
        a += rhs.a;
        if (a >= get_mod())a -= get_mod();
        return *this;
    }
    constexpr mint &operator-=(const mint rhs) noexcept {
        if (a<rhs.a)a += get_mod();
        a -= rhs.a;
        return *this;
    }
    constexpr mint &operator*=(const mint rhs) noexcept {
        a = a * rhs.a % get_mod();
        return *this;
    }
    constexpr mint operator++(int) noexcept {
        a += 1;
        if (a >= get_mod())a -= get_mod();
        return *this;
    }
    constexpr mint operator--(int) noexcept {
        if (a<1)a += get_mod();
        a -= 1;
        return *this;
    }
    constexpr mint &operator/=(mint rhs) noexcept {
        u64 exp=get_mod()-2;
        while (exp) {
            if (exp % 2) {
                *this *= rhs;
            }
            rhs *= rhs;
            exp /= 2;
        }
        return *this;
    }
    constexpr bool operator==(mint x) const{
        return a==x.a;
    }
    constexpr bool operator!=(mint x) const{
        return a!=x.a;
    }
    constexpr bool operator<(mint x) const{
        return a<x.a;
    }
    constexpr bool operator>(mint x) const{
        return a>x.a;
    }
    constexpr bool operator<=(mint x) const{
        return a<=x.a;
    }
    constexpr bool operator>=(mint x) const{
        return a>=x.a;
    }
    constexpr static int root(){
        mint root = 2;
        while(root.pow((get_mod()-1)>>1).a==1)root++;
        return root.a;
    }
    constexpr mint pow(long long n)const{
        long long x=a;
        mint ret = 1;
        while(n>0) {
            if(n&1)(ret*=x);
            (x*=x)%=get_mod();
            n>>=1;
        }
        return ret;
    }
    constexpr mint inv(){
        return pow(get_mod()-2);
    }
    static std::vector<mint> fac;
    static std::vector<mint> ifac;
    static bool init;
    constexpr static int mx=10000001;
    void build()const{
        init=0;
        fac.resize(mx);
        ifac.resize(mx);
        fac[0]=1,ifac[0]=1;
        for(int i=1;i<mx;i++)fac[i]=fac[i-1]*i;
        ifac[mx-1]=fac[mx-1].inv();
        for(int i=mx-2;i>=0;i--)ifac[i]=ifac[i+1]*(i+1);
    }
    mint comb(long long b){
        if(init)build();
        if(a<0||b<0)return 0;
        if(a==0&&b==0)return 1;
        if((long long)a<b)return 0;
        return fac[a]*ifac[a-b]*ifac[b];
    }
    mint fact()const{
        if(init)build();
        return fac[a];
    }
    mint fact_inv()const{
        if(init)build();
        return ifac[a];
    }
    friend std::ostream& operator<<(std::ostream& lhs, const mint& rhs) noexcept {
        lhs << rhs.a;
        return lhs;
    }
    friend std::istream& operator>>(std::istream& lhs,mint& rhs) noexcept {
        lhs >> rhs.a;
        return lhs;
    }
    constexpr static bool is_static=true;
    constexpr static u64 get_mod(){
        return MOD;
    }
};
template<int MOD>std::vector<mod_int<MOD>> mod_int<MOD>::fac;
template<int MOD>std::vector<mod_int<MOD>> mod_int<MOD>::ifac;
template<int MOD>bool mod_int<MOD>::init=1;
#line 3 "cpplib/math/mod_int1000000007.hpp"
using mint=mod_int<1'000'000'007>;
constexpr int MOD=1'000'000'007;
/**
 * @brief ModInt(1'000'000'007)
 */
#line 3 "code.cpp"

int main(){
    lint n,m,k;
    cin>>n>>m>>k;
    vector<vector<pair<lint,lint>>>v(n);
    rep(i,m){
        lint x,y,z;
        cin>>x>>y>>z;
        x--;y--;
        v[x].emplace_back(y,z);
        v[y].emplace_back(x,z);
    }
    
    vector<int>used(n);
    vector<lint>s(n),t(n);
    auto dfs=[&](auto dfs,lint now,lint p,lint q)->pair<lint,lint>{
        used[now]=1;
        s[now]=p;
        t[now]=q;
        auto merge=[&](const auto& s,const auto& t){
            return make_pair(max(s.first,t.first),min(s.second,t.second));
        };
        auto res=(p==1?make_pair(1-q,k-q):make_pair(q-k,q-1));
        for(auto [to,z]:v[now]){
            if(used[to]){
                lint a=p+s[to];
                lint b=q+t[to];
                if(a==0){
                    if(b==z){
                        continue;
                    }else{
                        cout<<0<<endl;
                        exit(0);
                    }
                }else{
                    res=merge(res,make_pair((z-b)/a,(z-b)/a));
                }
            }else{
                res=merge(res,dfs(dfs,to,-p,z-q));
            }
        }
        return res;
    };

    vector<int>used2(n);
    vector<lint>s2(n),t2(n);
    auto dfs2=[&](auto dfs2,lint now,lint p,lint q)->pair<lint,lint>{
        used2[now]=1;
        s2[now]=p;
        t2[now]=q;
        auto merge=[&](const auto& s,const auto& t){
            return make_pair(max(s.first,t.first),min(s.second,t.second));
        };
        auto res=(p==1?make_pair(1-q,k-1-q):make_pair(q-(k-1),q-1));
        for(auto [to,z]:v[now]){
            if(used2[to]){
                lint a=p+s2[to];
                lint b=q+t2[to];
                if(a==0){
                    if(b==z){
                        continue;
                    }else{
                        return make_pair(-1LL,-2LL);
                    }
                }else{
                    res=merge(res,make_pair((z-b)/a,(z-b)/a));
                }
            }else{
                res=merge(res,dfs2(dfs2,to,-p,z-q));
            }
        }
        return res;
    };
    mint ans=1,ans2=1;
    rep(i,n){
        if(used[i])continue;
        auto d=dfs(dfs,i,1,0);
        auto e=dfs2(dfs2,i,1,0);
        ans*=max(0LL,d.second-d.first+1);
        ans2*=max(0LL,e.second-e.first+1);
    }
    cout<<ans-ans2<<endl;
}