#include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define N (1000000000+7) //#define N 998244353 #define INF 1e16 typedef long long ll; typedef pair P; typedef pair Q; const int inf = (int)1e9; ll gcd(ll a, ll b) { if (b > a) { ll tmp = b; b = a; a = tmp; } if (a%b == 0)return b; else return gcd(b, a%b); } class UnionFind { public: vectorpar, rank, node; UnionFind(int n) :par(n), rank(n, 0),node(n,1) { for (int i = 0;i < n;i++)par[i] = i; } void init(int n) { for (int i = 0;i < n;i++) { par[i] = i; rank[i] = 0; node[i] = 1; } } int find(int x) { return par[x] == x ? x : par[x] = find(par[x]); } bool same(int x, int y) { return find(x) == find(y); } void unite_tree(int x, int y) { x = find(x); y = find(y); if (x == y)return; if (rank[x] < rank[y]) { par[x] = y; } else { par[y] = x; if (rank[x] == rank[y])rank[x]++; } } int root_size(int x){ return rank[find(x)]; } int size(int x) { return node[find(x)]; } void unite_node(int x, int y) { x = find(x); y = find(y); if (x == y)return; if (size(x) < size(y))swap(x, y); node[x] += node[y]; par[y] = par[x]; } }; ll x; struct edge{ int from; int to; ll cost; }; struct E{ int to; ll cost; }; vectorg[200010]; ll inv(ll x,ll power) { ll res = 1; ll k = power; ll y = x%N; while (k) { if (k & 1)res = (res*y) % N; y = (y%N*y%N) % N; k /= 2; } return res; } ll dfs(int v, int p, ll n, ll &ans) { ll ret = 0; for (auto e: g[v]) { int to = e.to; ll cost = inv(x,e.cost); if (to == p) continue; ll a = dfs(to, v, n, ans); ll t = (((cost*a)%N)*(n-a))%N; ans = (ans+t)%N; ret = (ret+a)%N; } return (ret + 1)%N; } int main(void){ ll n,m; cin>>n>>m>>x; UnionFind uf = UnionFind(n); vectore; for(int i=0;i>a>>b>>z; a--; b--; e.push_back({a,b,z}); } auto f = [&](edge &a,edge &b){ return a.cost