#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define llint long long #define inf 1e18 #define rep(x, s, t) for(llint (x) = (s); (x) < (t); (x)++) #define Rep(x, s, t) for(llint (x) = (s); (x) <= (t); (x)++) #define chmin(x, y) (x) = min((x), (y)) #define chmax(x, y) (x) = max((x), (y)) #define mod 1000000007 using namespace std; typedef pair P; typedef pair E; struct UnionFind{ int size; vector parent; UnionFind(){} UnionFind(int size){ this->size = size; parent.resize(size+1); init(); } void init(){ for(int i = 0; i <= size; i++) parent[i] = i; } int root(int i){ if(parent[i] == i) return i; return parent[i] = root(parent[i]); } bool same(int i, int j){ return root(i) == root(j); } void unite(int i, int j){ int root_i = root(i), root_j = root(j); if(root_i == root_j) return; parent[root_i] = root_j; } }; struct edge{ llint to, cost; edge(){} edge(llint a, llint b){ to = a, cost = b; } }; llint modpow(llint a, llint n) { if(n == 0) return 1; if(n % 2){ return ((a%mod) * (modpow(a, n-1)%mod)) % mod; } else{ return modpow((a*a)%mod, n/2) % mod; } } llint n, m, x; vector G[200005]; vector vec; UnionFind uf(200005); llint ans = 0; llint dfs(int v, int p) { llint ret = 1; for(int i = 0; i < G[v].size(); i++){ if(G[v][i].to == p) continue; llint res = dfs(G[v][i].to, v); ans += res * (n-res) % mod * modpow(x, G[v][i].cost) % mod; ans %= mod; ret += res; } return ret; } int main(void) { ios::sync_with_stdio(0); cin.tie(0); cin >> n >> m >> x; llint u, v, w; for(int i = 1; i <= m; i++){ cin >> u >> v >> w; vec.push_back(E(w, P(u, v))); } sort(vec.begin(), vec.end()); for(int i = 0; i < vec.size(); i++){ llint w = vec[i].first, u = vec[i].second.first, v = vec[i].second.second; if(uf.same(u, v)) continue; uf.unite(u, v); G[u].push_back(edge(v, w)); G[v].push_back(edge(u, w)); } dfs(1, -1); cout << ans << endl; return 0; }