#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define popcount __builtin_popcount #define popcountll __builtin_popcountll using namespace std; typedef long long int ll; typedef pair P; struct unionfind{ vector par, sz; unionfind() {} unionfind(int n):par(n), sz(n, 1){ for(int i=0; isz[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

g[200020]; unionfind uf(n); for(int i=0; i>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<