#include using namespace std; int main() { ios::sync_with_stdio(false); int N, M, X; { cin >> N >> M >> X; } vector> edges(M); { for (int i = 0; i < M; ++i) { int X, Y, Z; { cin >> X >> Y >> Z; --X, --Y; } edges[i] = make_tuple(Z, X, Y); } sort(edges.begin(), edges.end()); } const int D = 1e9 + 7; auto ipow = [D](int v, int p) { int r = 1; for (int i = p; i; i >>= 1) { if (i & 1) r = (int64_t) r * v % D; v = (int64_t) v * v % D; } return r; }; int res = 0; { vector>> g(N); { vector fa(N); { iota(fa.begin(), fa.end(), 0); } function find = [&](int x) { return fa[x] == x ? x : fa[x] = find(fa[x]); }; function unite = [&](int x, int y) { int fx = find(x); int fy = find(y); if (fx == fy) return false; fa[fx] = fy; return true; }; for (auto [w, u, v] : edges) { if (unite(u, v)) { g[u].emplace_back(w, v); g[v].emplace_back(w, u); } } } vector sz(N); { function dfs = [&](int u, int fa) { sz[u] = 1; for (auto [w, v] : g[u]) if (v != fa) sz[u] += dfs(v, u); return sz[u]; }; dfs(0, -1); } function dfs = [&](int u, int fa, int sup) { for (auto [w, v] : g[u]) if (v != fa) { int n = (int64_t) (sup + sz[u] - sz[v]) * sz[v] % D; (res += (int64_t) n * ipow(X, w) % D) %= D; dfs(v, u, sup + sz[u] - sz[v]); } }; dfs(0, -1, 0); } cout << res << endl; }