#include <cstdio> #include <cstring> #include <iostream> #include <string> #include <cmath> #include <bitset> #include <vector> #include <map> #include <set> #include <queue> #include <deque> #include <algorithm> #include <complex> #include <unordered_map> #include <unordered_set> #include <random> #include <cassert> #include <fstream> #include <utility> #include <functional> #include <time.h> #include <stack> #include <array> #define popcount __builtin_popcount #define popcountll __builtin_popcountll using namespace std; typedef long long int ll; typedef pair<int, int> P; struct unionfind{ vector<int> par, sz; unionfind() {} unionfind(int n):par(n), sz(n, 1){ for(int i=0; i<n; i++) par[i]=i; } int find(int x){ if(par[x]==x) return x; return par[x]=find(par[x]); } void unite(int x, int y){ x=find(x); y=find(y); if(x==y) return; if(sz[x]>sz[y]) swap(x, y); par[x]=y; sz[y]+=sz[x]; } bool same(int x, int y){ return find(x)==find(y); } int size(int x){ return sz[find(x)]; } }; const ll MOD=1e9+7; ll powmod(ll a, ll k){ ll ap=a, ans=1; while(k){ if(k&1){ ans*=ap; ans%=MOD; } ap=ap*ap; ap%=MOD; k>>=1; } return ans; } int main() { int n, m; ll X; cin>>n>>m>>X; vector<P> g[200020]; unionfind uf(n); for(int i=0; i<m; i++){ int a, b, c; cin>>a>>b>>c; a--; b--; if(uf.same(a, b)) continue; uf.unite(a, b); g[a].push_back({b, c}); g[b].push_back({a, c}); } ll ans=0; int cnt[200020]; auto dfs=[&](auto dfs, int x, int p)->void{ cnt[x]=1; for(auto q:g[x]){ int y=q.first; if(y==p) continue; dfs(dfs, y, x); (ans+=(ll)cnt[y]*(n-cnt[y])%MOD*powmod(X, q.second))%=MOD; cnt[x]+=cnt[y]; } }; dfs(dfs, 0, -1); cout<<ans<<endl; return 0; }