#include using namespace std; #define REP(i,n) for(int i=0; i<(int)(n); i++) #define FOR(i,b,e) for (int i=(int)(b); i<(int)(e); i++) #define ALL(x) (x).begin(), (x).end() const double PI = acos(-1); class UFT { int n; int cnt; // number of connected components vector par; vector rank; vector sz; // size of each component public: UFT(int n) : n(n), cnt(n), par(n), rank(n), sz(n) { for (int i = 0; i < n; i++) { par[i] = i; sz[i] = 1; } } int find(int x) { return par[x] == x ? x : par[x] = find(par[x]); } void unite(int x, int y) { x = find(x); y = find(y); if (x == y) return; --cnt; if (rank[x] < rank[y]) { par[x] = y; sz[y] += sz[x]; } else { par[y] = x; sz[x] += sz[y]; if (rank[x] == rank[y]) ++rank[x]; } } bool same(int x, int y) { return find(x) == find(y); } int compCnt() { return cnt; } int size(int x) { return sz[find(x)]; } }; long long modpow(long long x, long long p, long long mod) { long long ret = 1; while (p) { if (p & 1) ret = ret * x % mod; x = x * x % mod; p >>= 1; } return ret; } const long long MOD = 1e9 + 7; int n, m; vector > edges[200000]; long long ret = 0; int dfs(int v, int par = -1) { int c = 1; for (auto &[u, dist]: edges[v]) { if (u == par) continue; int ch = dfs(u, v); c += ch; ret += dist * ch % MOD * (n - ch) % MOD; ret %= MOD; } return c; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); long long x; cin >> n >> m >> x; UFT tree(n); REP (i, m) { int u, v, z; cin >> u >> v >> z; --u, --v; if (tree.same(u, v)) continue; else { tree.unite(u, v); long long dist = modpow(x, z, MOD); edges[u].emplace_back(v, dist); edges[v].emplace_back(u, dist); } } dfs(0); cout << ret << endl; return 0; }