/** * @FileName a.cpp * @Author kanpurin * @Created 2020.08.31 19:34:51 **/ #include "bits/stdc++.h" using namespace std; typedef long long ll; template< int MOD > struct mint { public: long long x; mint(long long x = 0) :x((x%MOD+MOD)%MOD) {} mint(std::string &s) { long long z = 0; for (int i = 0; i < s.size(); i++) { z *= 10; z += s[i] - '0'; z %= MOD; } this->x = z; } mint& operator+=(const mint &a) { if ((x += a.x) >= MOD) x -= MOD; return *this; } mint& operator-=(const mint &a) { if ((x += MOD - a.x) >= MOD) x -= MOD; return *this; } mint& operator*=(const mint &a) { (x *= a.x) %= MOD; return *this; } mint& operator/=(const mint &a) { long long n = MOD - 2; mint u = 1, b = a; while (n > 0) { if (n & 1) { u *= b; } b *= b; n >>= 1; } return *this *= u; } mint operator+(const mint &a) const { mint res(*this); return res += a; } mint operator-() const {return mint() -= *this; } mint operator-(const mint &a) const { mint res(*this); return res -= a; } mint operator*(const mint &a) const { mint res(*this); return res *= a; } mint operator/(const mint &a) const { mint res(*this); return res /= a; } friend std::ostream& operator<<(std::ostream &os, const mint &n) { return os << n.x; } friend std::istream &operator>>(std::istream &is, mint &n) { long long x; is >> x; n = mint(x); return is; } bool operator==(const mint &a) const { return this->x == a.x; } mint pow(long long k) const { mint ret = 1; mint p = this->x; while (k > 0) { if (k & 1) { ret *= p; } p *= p; k >>= 1; } return ret; } }; class UnionFind { private: vector par; public: UnionFind(int n) { par.resize(n, -1); } int root(int x) { if (par[x] < 0) return x; return par[x] = root(par[x]); } bool unite(int x, int y) { int rx = root(x); int ry = root(y); if (rx == ry) return false; if (size(rx) < size(ry)) swap(rx, ry); par[rx] += par[ry]; par[ry] = rx; return true; } bool same(int x, int y) { int rx = root(x); int ry = root(y); return rx == ry; } int size(int x) { return -par[root(x)]; } }; constexpr int MOD = 1e9 + 7; int n,m; mint x,ans; vector>>> g; int dfs(int v, int p = -1, mint cost = 0) { int cnt = 1; for(auto e : g[v]) { if (e.first == p) continue; cnt += dfs(e.first,v, e.second); } ans += cost * cnt * (n - cnt); return cnt; } int main() { cin >> n >> m >> x; g.resize(n); UnionFind uf(n); for (int i = 0; i < m; i++) { int a,b,c;cin >> a >> b >> c; a--;b--; if (uf.same(a,b)) continue; uf.unite(a,b); g[a].push_back({b,x.pow(c)}); g[b].push_back({a,x.pow(c)}); } dfs(0); cout << ans << endl; return 0; }