#include #include #include using namespace std; long long mod = 1000000007; class UnionFind { public: vector par; void init(int sz) { par.resize(sz, -1); } int root(int pos) { if (par[pos] == -1) return pos; par[pos] = root(par[pos]); return par[pos]; } void unite(int u, int v) { u = root(u); v = root(v); if (u != v) par[u] = v; } bool same(int u, int v) { u = root(u); v = root(v); if (u == v) return true; return false; } }; long long modpow(long long a, long long b, long long m) { long long p = 1, q = a; for (int i = 0; i < 62; i++) { if ((b / (1LL << i)) % 2LL == 1) { p *= q; p %= m; } q *= q; q %= m; } return p; } // 入力 long long N, M, X; long long A[1 << 18], B[1 << 18], C[1 << 18]; // 木の情報 UnionFind UF; vector G[1 << 18]; int dp[1 << 18]; bool used[1 << 18]; void dfs(int pos) { dp[pos] = 1; for (int i : G[pos]) { if (dp[i] >= 1) continue; dfs(i); dp[pos] += dp[i]; } } int main() { // Step #1. 入力 cin >> N >> M >> X; for (int i = 1; i <= M; i++) cin >> A[i] >> B[i] >> C[i]; // Step #2. UF UF.init(N + 2); for (int i = 1; i <= M; i++) { if (UF.same(A[i], B[i]) == false) { UF.unite(A[i], B[i]); G[A[i]].push_back(B[i]); G[B[i]].push_back(A[i]); used[i] = true; } } // Step #3. 答えを求める long long Answer = 0; dfs(1); for (int i = 1; i <= M; i++) { if (used[i] == false) continue; long long cost = modpow(X, C[i], mod); long long t1 = min(dp[A[i]], dp[B[i]]); long long t2 = N - t1; Answer += (t1 * t2 % mod) * cost % mod; Answer %= mod; } cout << Answer << endl; return 0; }